Apunte_Icofi_2014

312
7/23/2019 Apunte_Icofi_2014 http://slidepdf.com/reader/full/apunteicofi2014 1/312  !"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) 4%5)&1)6%"1/ (% 7"(8'1&#)' 9: ;+<0 7;.=>29?7@; A ?=;+>=B .7;9;?7<>= “I O I”

Transcript of Apunte_Icofi_2014

Page 1: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 1/312

 !"#$%&'#()( +,-"#-)

.%(%&#-/ 0)"1) 2)&3)

4%5)&1)6%"1/ (% 7"(8'1&#)'

9: ;+<0

7;.=>29?7@; A ?=;+>=B

.7;9;?7<>=

“I O I”

Page 2: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 2/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !

"#$"%&

Contabilidad Básica _____________________________________________ 6 

1.1  Marco Conceptual Colegio de Contadores ___________________________________________ 6 

1.2 

Ecuación Contable _____________________________________________________________ 22 

1.3 

Proceso Contable _______________________________________________________________ 22 

1.4 

Registro Contable ______________________________________________________________ 23 

1.5 

Proceso Contable _______________________________________________________________ 24 

1.6 

Asientos Contables _____________________________________________________________ 24 

1.7  Cuentas del Mayor _____________________________________________________________ 26 

1.8  Balance de Comprobación y Saldos ________________________________________________ 27 

1.9  Principales ajustes que deben efectuarse al final de un periodo contable _________________ 27 

1.10  Estados Financieros ____________________________________________________________ 28 

1.11  Estado de Resultados o Estado de Pérdidas y Ganancias ______________________________ 29 

Impuesto al Valor Agregado (I.V.A) _______________________________ 30 

2.1 

Principales Hechos Gravados _____________________________________________________ 30 

2.2 

Sujetos que Cobran el Impuesto a nombre del Fisco __________________________________ 30 

2.3 

Base Imponible: ________________________________________________________________ 30 

2.4 

Principales Exenciones __________________________________________________________ 30 

2.5 

Tasa del Impuesto ______________________________________________________________ 30 

2.6 

Mecanismo del Impuesto ________________________________________________________ 31 

2.7 

Registro de la información referente al IVA ________________________________________ 32 

2.8 

Liquidación del IVA ____________________________________________________________ 33 

Intereses y Descuentos __________________________________________ 34 

3.1  Interés ________________________________________________________________________ 34 

3.2  Descuentos ____________________________________________________________________ 39 

Tratamiento de las Existencias ____________________________________ 42 

4.1  Tipos de Existencias ____________________________________________________________ 42 

4.2 

Ciclo de Ventas en una Empresa __________________________________________________ 42 

4.3  Costo de Ventas ________________________________________________________________ 44 

4.4  IFRS y su Tratamiento de Existencias (NIC 2) ______________________________________ 47 

Tratamiento del Activo Fijo ______________________________________ 50 

5.1  Características del Activo Fijo ____________________________________________________ 50 

5.2  Componentes del Activo Fijo _____________________________________________________ 51 

Page 3: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 3/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) #

5.3 

¿Qué es la Depreciación? ________________________________________________________ 51 

5.4 

Métodos de Depreciación ________________________________________________________ 54 

5.5 

IFRS y su Tratamiento del Activo Fijo (NIC 16, NIC 36) ______________________________ 63 

Corrección Monetaria Básica ___________________________________ 65 

6.1 

Efectos de la Inflación desde punto de vista económico. _______________________________ 65 

6.2  Efectos de la Inflación desde un punto de vista contable ______________________________ 65 

6.3  Definición: ____________________________________________________________________ 66 

6.4  Características _________________________________________________________________ 66 

6.5  Clasificación de partidas ________________________________________________________ 66 

6.6 

Ajustes _______________________________________________________________________ 67 

6.7 

Mecanismos de Corrección Monetaria aplicados ___________________________________ 68 

Estados Financieros Básicos ______________________________________ 75 

7.1 

Balance _______________________________________________________________________ 75 

7.2  Estado de Resultados ___________________________________________________________ 78 

7.3  Fuentes de fondos ______________________________________________________________ 81 

7.4  Usos de fondos _________________________________________________________________ 81 

Análisis de Razones o Ratios Financieros ___________________________ 84 

8.1  Razones de Liquidez General _____________________________________________________ 84 

8.2  Razones de Actividad ___________________________________________________________ 85 

8.3  Razones de Endeudamiento ______________________________________________________ 86 

8.4 

Razones de Rentabilidad ________________________________________________________ 87 

Presupuestos___________________________________________________ 88 

9.1 

Definición _____________________________________________________________________ 88 

9.2 

Ventajas de los Presupuestos _____________________________________________________ 88 

9.3 

Tipos de Presupuestos ___________________________________________________________ 89 

9.4  Fases del Proceso Presupuestario _________________________________________________ 91 

9.5 

Formas de Presupuestación ______________________________________________________ 92 

10 

Costos ________________________________________________________ 95 

10.1 

Clasificación de los Costos _______________________________________________________ 95 

Reparación y Mantención _____________________________________________________________ 105 

10.2 

Variabilidad del Costo y Costos marginales ________________________________________ 105 

11 

Costeo por Órdenes de Trabajo __________________________________ 110 

11.1  Contabilización del costeo por órdenes de trabajo __________________________________ 110 

11.2  ¿Por qué se utiliza la cuenta “costos indirectos de fabricación aplicados”? ______________ 111 

Page 4: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 4/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) $

12 

Costos por Procesos____________________________________________ 113 

12.1  ¿Qué se entiende por Producción Equivalente? _____________________________________ 113 

12.2  Etapas del proceso de registro de los datos _________________________________________ 114 

12.3  Pérdidas de producción ________________________________________________________ 117 

13  Costos Estimados ______________________________________________ 118 

13.1  Determinación de los costos estimados ____________________________________________ 118 

14 

Costos Estándar _______________________________________________ 119 

14.1 

Características de un Plan Básico de Costos Estándar _______________________________ 120 

15 

Relación Costo-Volumen-Utilidad ________________________________ 121 

15.1 

Limitaciones __________________________________________________________________ 122 

15.2 

Determinación de la variabilidad de los Costos _____________________________________ 122 

15.3 

Usos del Margen de Contribución ________________________________________________ 128 

15.4 

Variaciones de las Utilidades _____________________________________________________ 128 

15.5 

Aplicaciones del Análisis Costo-Volumen-Utilidad ___________________________________ 129 

16 

Anexos. ______________________________________________________ 137 

16.1  Anexo 1: Marco Conceptual para la Preparación y Presentación de Estados Financieros __ 137 

16.2  Anexo 2: NIC 1 _______________________________________________________________ 169 

16.3  Anexo 3: Factura ______________________________________________________________ 205 

16.4  Anexo 4: Factura exenta ________________________________________________________ 206 

16.5  Anexo 5: Guía de Despacho _____________________________________________________ 207 

16.6 

Anexo 6: Nota de debito. ________________________________________________________ 208 

16.7  Anexo 7: Nota de crédito _______________________________________________________ 209 

16.8  Anexo 8: NIC 2 _______________________________________________________________ 210 

16.9  Anexo 9: Boletín Técnico Nº 33 del colegio de contadores ______________________________ 220  

16.10  Anexo 10: NIC 16 _____________________________________________________________ 227 

16.11 

Anexo 11: NIC 36 _____________________________________________________________ 249 

16.12 

Anexo 12: Boletín Técnico Nº 55 del colegio de contadores _____________________________ 286 

16.13 

Anexo 13: Glosario Conceptos IFRS ______________________________________________ 289 

16.14 

Anexo 14: Boletín Técnico Nº 1 del colegio de contadores. ____________________________ 299 

Page 5: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 5/312

Page 6: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 6/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) &

3  %4#567"8"$6$ 7 9:"%6  

'()*+,*- ./ 0- 1.2,+,345-*,6+ ./ 7285/3-39 *:;- <:+*,6+ /3 /0 5/=,345> 3,34/2?4,*> ./ 0>3 @/*@>3

/*>+62,*>3 /+ A:/ 3/ B/ ,+B>0:*5-.- 0- 7285/3-9 *>+ /0 >CD/4> ./ /+45/=-5 ,+<>52-*,6+ <,+-+*,/5-E

/*>+62,*- - A:,)+ 0- 3>0,*,4/'F

3;3  < 6=%4 %4#%&.5>68 %48&?"4 $& %4#56$4=&: 

3;3;3  "#5=4$>%%"@#

7+ +>B,/2C5/ ./ GHIG9 /0 J>+>5-C0/ K>+3/D> L/+/5-0 ./0 K>0/=,> ./ K>+4-.>5/3 ./ K@,0/ 1FLF

*5/6 0- ―Co2,3,6+ ./ M5,+*,8,>3 ; N>52-3 Contables‖, 8-5- *:280,5 *>+ :+- 5/3>0:*,6+ ./0

K:-54> K>+=5/3> N-*,>+-0 5/-0,O-.> /+ 3/84,/2C5/ ./ GHIP ; ./ -*:/5.> *>+ 0- -45,C:*,6+

*>+4/+,.- /+ 0- 0/45- ―G‖  ./0 -54Q*:0> G# ./ 0- R/; G#PGG A:/ *5/6 /0 K>0/=,> ./ K>+4-.>5/39 A:/

0/ /+45/=6 0- <-*:04-. ./ ―d,*4-5 +>52-3 5/0-4,B-3 -0 /D/5*,*,o profesional‖. R- K>2,3,6+ @- .,*4-.>9 ./3./ /+4>+*/39 +>52-3 85></3,>+-0/3 - 45-B)3 ./ :+- 3/5,/ ./

S>0/4,+/3 ()*+,*>3F 7+45/ /00>39 /0 S>0/4Q+ ()*+,*> NT G9 -85>C-.> /0 H ./ /+/5> ./ GHI#9 /+45/=6 0>3

<:+.-2/+4>3 ./ 0- /U85/3,6+ ―de  -*:/5.> *>+ 85,+*,8,>3 ; +>52-3 *>+4-C0/3 =/+/5-02/+4/

-*/84-.>3‖ :4,0,O-.- /+ 0>3 .,*4?2/+/3 / ,+<>52/3 85></3,>+-0/3 ; 3/ 5/<,5,6 - 0- (/>5Q- S?3,*- ./ 0-

K>+4-C,0,.-. /+ 0- *:-0 3/ <:+.-2/+4-C-+ 0>3 85,+*,8,>3 ; +>52-3 ./ /00-F R- K>2,3,6+ 5/*>+>*/

A:/ /0 S>0/4Q+ ()*+,*> NT G ./0 -V> GHI# <:/ :+ =5-+ -./0-+4> /+ /0 -V> /+ A:/ <:/ /2,4,.>F W,+

/2C-5=>9 *>+3,./5-+.> 0>3 -B-+*/3 A:/ @- /U8/5,2/+4-.> 0- ,+<>52-*,6+ *>+4-C0/ - +,B/0

,+4/5+-*,>+-09 3/ 5/A:,/5/ 0- /2,3,6+ ./ :+ +:/B> .>*:2/+4> A:/ ./2:/345/ A:/9 -:+ *:-+.> /U,34-

/A:,B-0/+*,- *>+ 2:*@>3 ./ 0>3 85,+*,8,>3 *>+4/+,.>3 /+ /0 0,34-.> 45-.,*,>+-09 /U,34/+ >45>3 A:/

./5,B-+ ./ 0-3 *:-0,.-./3 ./ 0- ,+<>52-*,6+X ; -*4:-02/+4/ /3 8>3,C0/ /+45/=-5 :+- 2-;>5

85><:+.,O-*,6+ *>+*/84:-0 /+ -0=:+-3 ./<,+,*,>+/3 ./ 0>3 /0/2/+4>3 A:/ <>52-+ 0>3 /34-.>3

<,+-+*,/5>3 ; /+ 0>3 *5,4/5,>3 ./ 5/*>+>*,2,/+4> ; 2/.,*,6+F

73 -3Q *>2>9 *>+ 8>34/5,>5,.-. - 0- </*@- ./ 85>2:0=-*,6+ ./0 S>0/4Q+ ()*+,*> NY G9

,+34,4:*,>+/3 4-0/3 *>2> /0 ―A2/5,*-+ Z+34,4:4/ >< K/54,<,/. M:C0,*  Accountants‖ (AICP 1G [9

/+ 734-.>3 \+,.>3 ./ N>54/-2)5,*-9 - 45-B)3 ./0 ―Fina+*,-0 1**>:+4,+= W4-+.-5.3 Soard‖ ]^1WS! [ ; /0 ―Internacional  1**>:+4,+= W4-+.-5.3 S>-5. ]Z1WS[#9 - +,B/0 ,+4/5+-*,>+-09 @-+

*>+4,+:-.> 85><:+.,O-+.> 0>3 /34:.,>3 /+ (/>5Q- K>+4-C0/9 @-34- 00/=-5 - 0- 85/8-5-*,6+ ;

<>52:0-*,6+ ./ :+ ―_-5*> K>+*/84:-0 8-5- 0- M5/8-5-*,6+ ; M5/3/+4-*,6+ ./ 734-.>3 Financieros‖.

`,*@> _-5*> K>+*/84:-0 /+45/=- 0-3 C-3/3 8-5- A:/ 0>3 /34-.>3 <,+-+*,/5>3 3-4,3<-=-+ 0-3

+/*/3,.-./3 ./ ,+<>52-*,6+ ./ 3:3 .,34,+4>3 :3:-5,>39 *:280-+ *>+ 0>3 >CD/4,B>3 ./ .,*@-

Page 7: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 7/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) I

,+<>52-*,6+ ; 8/52,4-+9 - 45-B)3 ./ 0>3 5/A:,3,4>3 /U,=,.>3 - 0- ,+<>52-*,6+ ; - 0- ./<,+,*,6+ ./

0>3 /0/2/+4>3 A:/ <>52-+ 0>3 /34-.>3 <,+-+*,/5>39 /0 5/*>+>*,2,/+4> ; 2/.,*,6+ ./ /34>3 /0/2/+4>3F

 (/+,/+.> 85/3/+4/ 0> /U8:/34> ; *>+3,./5-+.>9 -./2?39 /0 ./3-55>00> -0*-+O-.> 8>5

+:/345- -*4,B,.-. /*>+62,*-9 4-+4> /+ /0 80-+> +-*,>+-0 *>2> ,+4/5+-*,>+-09 5/3:04- /B,./+4/

A:/ 0- ,+<>52-*,6+ <,+-+*,/5- -.A:,/5/ 2-;>5 5/0/B-+*,- ;9 *>+ /00>9 0- +/*/3,.-. ./ 8-54,*,8-5 /+ /0

./3-55>00> ./ 0- -52>+,O-*,6+ *>+4-C0/ - +,B/0 ,+4/5+-*,>+-0F

M>5 0> 4-+4>9 /0 J>+>5-C0/ K>+3/D> N-*,>+-0 ./0 K>0/=,> ./ K>+4-.>5/3 ./ K@,0/ 1FLF9 @-

*>+3,./5-.> +/*/3-5,> ,+,*,-5 :+ M0-+ ./ K>+B/5=/+*,- ./ 0-3 +>52-3 *>+4-C0/3 +-*,>+-0/3 *>+ 0-3

+>52-3 *>+4-C0/3 ,+4/5+-*,>+-0/3 ;9 5-O6+ 8>5 0- *:-0 3/ @- ./*,.,.> /34-C0/*/5 0>3 <:+.-2/+4>3

*>+*/84:-0/3 /+ 0>3 A:/ 3/ -8>;- 0- /0-C>5-*,6+ ./ 0- ,+<>52-*,6+ <,+-+*,/5-9 - 45-B)3 ./ 0- /2,3,6+ ./

:+ _-5*> K>+*/84:-0 8-5- 0- M5/8-5-*,6+ ; M5/3/+4-*,6+ ./ 0>3 734-.>3 ^,+-+*,/5>3 /+ K@,0/9 4-5/-

A:/ 0/ @- 3,.> /+*>2/+.-.- - 0- K>2,3,6+ ./ M5,+*,8,>3 ; N>52-3 ./ K>+4-C,0,.-.FK>+<>52/ - 0- ,+4/+*,6+ ./ *>+B/5=/+*,- A:/ >5,/+4- /34- 4-5/-9 0- K>2,3,6+ *>+3,./56

-./*:-.> 85/8-5-5 .,*@> .>*:2/+4> 3>C5/ 0- C-3/ ./0 _-5*> K>+*/84:-0 8-5- 0- M5/8-5-*,6+

; M5/3/+4-*,6+ ./ 0>3 734-.>3 ,+-+*,/5>39 /2,4,.> 8>5 /0 Z1WSF `-.> 0> -+4/5,>5 ; *>+ 0-

<,+-0,.-. ./ *>285/+./5 /0 ?+,2> *>+ /0 A:/ <:/ 85/8-5-.> .,*@> 4/U4>9 3/ *>+3,./56 >8>54:+>

85/3/+4-59 ./ 2-+/5- Q+4/=5-9 3: 8560>=>a

― I'6=+* /,?$/*+*@ /- /) ,'-.# /-5/$#@ ?$/?+$+- : ?$/*/-5+- /*5+.#* 92-+-62/$#* ?+$+ '*'+$2#* /F5/$-#*E

 J'-&'/ 5+)/* /*5+.#* 92-+-62/$#* ?'/./- ?+$/6/$ *2,2)+$/* /-5$/ '- ?+3* : #5$#@ /F2*5/- /- /))#* .29/$/-62+*

6+'*+.+* ?$#8+8)/,/-5/ ?#$ '-+ +,?)2+ A+$2/.+. ./ 62$6'-*5+-62+* *#62+)/*@ /6#-7,26+* : )/1+)/*K +*3 6#,#

 ?#$&'/ /- )#* .29/$/-5/* ?+3*/* */ 52/-/- /- ,/-5/ )+* -/6/*2.+./* ./ .2*52-5#* '*'+$2#* ./ )#* /*5+.#* 92-+-62/$#* +)

/*5+8)/6/$ )+ -#$,+52A+ 6#-5+8)/ -+62#-+)E 

L+)/* 62$6'-*5+-62+* .29/$/-5/* =+- ))/A+.# +) '*# ./ '-+ +,?)2+ A+$2/.+. ./ ./92-262#-/* ?+$+ )#*

/)/,/-5#* ./ )#* /*5+.#* 92-+-62/$#*@ /*5# /*@ ?+$+ +652A#*@ ?+*2A#*@ ?+5$2,#-2#@ 2-1$/*#* : 1+*5#*E H*+* ,2*,+*

62$6'-*5+-62+* =+- .+.# 5+,82(- 6#,# $/*')5+.# /) '*# ./ .29/$/-5/* 6$25/$2#* ?+$+ /) $/6#-#62,2/-5# ./ ?+$52.+* /- )#*

/*5+.#* 92-+-62/$#*@ +*3 6#,# /- ?$/9/$/-62+* ?#$ .29/$/-5/* 8+*/* ./ ,/.2627-E J*2,2*,#@ 5+-5# /) +)6+-6/ ./

)#* /*5+.#* 92-+-62/$#* 6#,# )+* 2-9#$,+62#-/* $/A/)+.+* /- /))#* =+- &'/.+.# 5+,82(- +9/65+.#* ?#$ /*+ 6#-G'-627- ./

62$6'-*5+-62+*E G Z+34,4:4> 12/5,*-+> ./ K>+4-.>5/3 MbC0,*>3 K/54,<,*-.>3 

! K>2,4) ./ N>52-3 ./ K>+4-C,0,.-. ^,+-+*,/5- 

# K>+3/D> ./ N>52-3 Z+4/5+-*,>+-0/3 ./ K>+4-C,0,.-. 

Page 8: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 8/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) c

 H) 4#,25( ./ M#$,+* 0-5/$-+62#-+)/* ./ 4#-5+82)2.+. N0JO4P 52/-/ )+ ,2*27- ./ $/.'62$ 5+)/* .29/$/-62+* ?#$

,/.2# ./ )+ 8>*&'/.+ ./ )+ +$,#-2C+627- /-5$/ )+* $/1')+62#-/*@ -#$,+* 6#-5+8)/* : ?$#6/.2,2/-5#* $/)+52A#* + )+

 ?$/?+$+627- : ?$/*/-5+627- ./ )#* /*5+.#* 92-+-62/$#*E H) 0JO4 6$// &'/ /*5+ +$,#-2C+627- ,D* +,?)2+ ?'/./

 ?/$*/1'2$*/ ,/G#$ *2 )#* /*9'/$C#* */ 6#-6/-5$+- /- )#* /*5+.#* 92-+-62/$#* &'/ */ ?$/?+$+- 6#- /) ?$#?7*25# ./

*',2-2*5$+$ 2-9#$,+627- &'/ /* >52) ?+$+ )+ 5#,+ ./ ./62*2#-/* /6#-7,26+*E

 H) 4#-*/G# ./) 0JO4 /*52,+ &'/ )#* /*5+.#* 92-+-62/$#* +*3 ?$/?+$+.#* 6'8$/- )+* -/6/*2.+./* 6#,'-/* ./

)+ ,+:#$3+ ./ )#* '*'+$2#*E H*5# /* ?#$&'/ 6+*2 5#.#* )#* '*'+$2#* 5#,+- ./62*2#-/* /6#-7,26+*@ 6#,# ?#$ /G/,?)#

)+* *21'2/-5/*Q  

-[ ./62.2$ *2 +.&'2$2$@ ,+-5/-/$ # A/-./$ +662#-/* # ./$/6=#* ?$#?2/5+$2#*K  

C[ /A+)'+$ )+ 1/*527- +.,2-2*5$+52A+ # )+ $/*?#-*+82)2.+. ./ )+ R/$/-62+K  

*[ /A+)'+$ )+ 6+?+62.+. ./ )+ /,?$/*+ ?+$+ ?+1+$ )+* $/,'-/$+62#-/* : *',2-2*5$+$ #5$#* 8/-/9262#* + *'* /,?)/+.#*K  .[ /A+)'+$ )+* ,/.2.+* ./ ?$#5/6627- *#8$/ )#* 9#-.#* ?$/*5+.#* + )+ /,?$/*+K  

/[./5/$,2-+$ )+* ?#)3526+* 5$28'5+$2+*K  

<[ ./5/$,2-+$ )+* '52)2.+./* .2*5$28'38)/* : )#* .2A2./-.#* + ?+1+$K  

=[ ?$/?+$+$ : '*+$ )+* /*5+.3*526+* ,+6$#/6#-7,26+* ./ 2-1$/*#* ./) ?+3*@ # 

@[ $/1')+$ )+* +652A2.+./* ./ )+* /,?$/*+*E 

 H) 4#-*/G# $/6#-#6/ &'/ )#* 1#82/$-#*@ /- ?+$526')+$@ ?'/./- 92G+$ $/&'2*25#* .29/$/-5/* # +.262#-+)/* ?+$+ *'*

 ?$#?2#* 2-5/$/*/*E O2- /,8+$1#@ 5+)/* $/&'2*25#* 6#-5+8)/* -# ./8/- +9/65+$ + )#* /*5+.#* 92-+-62/$#* ?'8)26+.#* ?+$+8/-/9262# ./ #5$#* '*'+$2#*@ + ,/-#* &'/ 6'8$+- 5+,82(- )+* -/6/*2.+./* ./ /*#* #5$#* '*'+$2#*E  

R/-/$+),/-5/@ )#* /*5+.#* 92-+-62/$#* */ ?$/?+$+- ./ +6'/$.# 6#- '- ,#./)# 6#-5+8)/ 8+*+.# /- /) 6#*5# =2*57$26#

$/6'?/$+8)/@ +*3 6#,# /- /) 6#-6/?5# ./ ,+-5/-2,2/-5# ./) 4+?25+) 92-+-62/$# /- 5($,2-#* -#,2-+)/*E O2 */ 52/-/ /)

#8G/52A# ./ ?$#A//$ 2-9#$,+627- >52) ?+$+ 5#,+$ ./62*2#-/* /6#-7,26+*@ #5$#* 52?#* ./ ,#./)#* : 6#-6/?5#* ?'/./- */$

,D* +?$#?2+.#*@ *2 82/- -# /F2*5/ /- /) ,#,/-5# ?$/*/-5/ 6#-*/-*# ?+$+ 2,?)+-5+$ ,#.2926+62#-/* +) $/*?/65#E

 H*5/ I+$6# 4#-6/?5'+) =+ *2.# ./*+$$#))+.# ./ ,+-/$+ &'/ ?'/.+ +?)26+$*/ + '-+ A+$2+.+ 1+,+ ./ ,#./)#*

6#-5+8)/* : 6#-6/?5#* ./ "+5$2,#-2# : ./) mantenimiento del mismo”. 

Page 9: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 9/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) H

3;3;A  47B&5"C4 $&8 < 6=%4 %4#%&.5>68 

GF 70 _-5*> K>+*/84:-0 ./<,+/ 0>3 *>+*/84>3 /3/+*,-0/3 5/0-*,>+-.>3 *>+ 0- 85/8-5-*,6+

; 85/3/+4-*,6+ ./ 0>3 /34-.>3 <,+-+*,/5>3 8-5- :3:-5,>3 /U4/5+>39 3,/+.> 3: >CD/4,B>

-;:.-5 > <-*,0,4-5a

-[ 0- /2,3,6+ ; 5/B,3,6+ ./ 0-3 +>52-3 ; 85>*/.,2,/+4>3 5/0-4,B>3 - 0- 85/3/+4-*,6+

./ /34-.>3 <,+-+*,/5>3X

C[ 0- 85/8-5-*,6+ ./ 0>3 /34-.>3 <,+-+*,/5>39 0- -80,*-*,6+ ./ 0-3 +>52-3 ./

*>+4-C,0,.-.9 -3Q *>2> /0 45-4-2,/+4> ./ 2-4/5,-3 A:/ +> @-+ 3,.> 4>.-BQ- >CD/4> ./

:+- +>52- ./ *>+4-C,0,.-.X

*[ 0- ,+4/585/4-*,6+ ./ 0- ,+<>52-*,6+ *>+4/+,.- /+ 0>3 /34-.>3 <,+-+*,/5>3 85/8-5-.>3

3,=:,/+.> 0-3 +>52-3 ./ *>+4-C,0,.-.X

.[ 0- <>52-*,6+ ./ :+- >8,+,6+9 8>5 8-54/ ./ 0>3 -:.,4>5/3 /U4/5+>39 -*/5*- ./ 3, 0>3/34-.>3 <,+-+*,/5>3 @-+ 3,.> 85/8-5-.>3 ./ -*:/5.> *>+ 0-3 +>52-3 ./ *>+4-C,0,.-.

-85>C-.-3 ; B,=/+4/3X

/[ 0- /+45/=- ./ ,+<>52-*,6+9 - 4>.>3 0>3 ,+4/5/3-.>3 /+ 0- /2,3,6+ ./ +>52-3 ./

*>+4-C,0,.-.9 -*/5*- ./ 0-3 C-3/3 :4,0,O-.-3 /+ .,*@> 85>*/3>X

!F 734/ _-5*> K>+*/84:-0 +> /3 :+ S>0/4Q+ ()*+,*> ;9 8>5 0> 4-+4>9 +> ./<,+/ 5/=0-3 /38/*Q<,*-3

./ 2/.,*,6+ > 85/3/+4-*,6+F (-28>*> 4,/+/ 8>./5 ./5>=-4>5,> 3>C5/ +,+=:+- +>52- ./

*>+4-C,0,.-.F

W/ 5/*>+>*/ A:/9 /+ -0=:+>3 *-3>39 8:/./ @-C/5 .,3*5/8-+*,-3 /+45/ /0 _-5*>

K>+*/84:-0 ; -0=:+- N>52- ./ K>+4-C,0,.-.F 7+ 4-0/3 *-3>39 0-3 .,38>3,*,>+/3 <,D-.-3 /+ 0- N>52-

-</*4-.- 85/B-0/*/+ 3>C5/ -A:/00-3 *>+4/+,.-3 /+ /0 _-5*> K>+*/84:-0F N> >C34-+4/9 .-.> A:/ /0

./3-55>00> ./ <:4:5-3 N>52-3 ; 0- 5/B,3,6+ ./ 0-3 /U,34/+4/3 3/ C-3-5? /+ /0 _-5*> K>+*/84:-09 .,*@-3

.,3*5/8-+*,-3 4/+./5?+ - ./3-8-5/*/5F

#F 70 _-5*> K>+*/84:-0 /3 :+ .>*:2/+4> A:/ -2/5,4- :+- 5/B,3,6+ 8/5,6.,*-9 *>+ /0

85>863,4> ./ 2/D>5-5 3: *>+4/+,.> 3>C5/ 0- C-3/ ./ 0- /U8/5,/+*,- -*:2:0-.- /+ /0 4,/28>F

3;3;D   6 8%6#%& $&8 < 6=%4 %4#%&.5>68 

$F 70 _-5*> K>+*/84:-0 *>285/+./ 0>3 3,=:,/+4/3 -38/*4>3a

-[ 70 >CD/4,B> ./ 0>3 /34-.>3 <,+-+*,/5>3F

C[ R-3 *-5-*4/5Q34,*-3 *:-0,4-4,B-3 A:/ ./4/52,+-+ 3, 0- ,+<>52-*,6+ *>+4/+,.- /+ 0>3 /34-.>3

<,+-+*,/5>3 /3 b4,0F

Page 10: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 10/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GP

*[ R- ./<,+,*,6+9 5/*>+>*,2,/+4> ; 2/.,*,6+ ./ 0>3 /0/2/+4>3 A:/ *>+<>52-+ 0>3 /34-.>3

<,+-+*,/5>3F

.[ K>+*/84>3 ./ M-45,2>+,> ; ./0 2-+4/+,2,/+4> ./0 M-45,2>+,>F

%F 734/ _-5*> K>+*/84:-0 3/ 5/<,/5/ - 0>3 /34-.>3 <,+-+*,/5>3 ./ :3> =/+/5-0 ]A:/ 3/

./+>2,+-5?+ ./ -@>5- /+ -./0-+4/ ―e34-.>3 financieros‖),  ,+*0:;/+.> 0>3 /34-.>3

<,+-+*,/5>3 *>+3>0,.-.>3F `,*@>3 /34-.>3 <,+-+*,/5>3 3>+ 85/8-5-.>3 ; /2,4,.>3 - 0> 2/+>3

-+:-02/+4/ ; /34?+ >5,/+4-.>3 - 3-4,3<-*/5 0>3 5/A:/5,2,/+4>3 *>2:+/3 ./ ,+<>52-*,6+

./ .,34,+4>3 :3:-5,>39 -:+ *:-+.> -0=:+>3 ./ )34>3 8:/./+ +/*/3,4-5 ; /34-5 /+

*>+.,*,>+/3 ./ >C4/+/5 ,+<>52-*,6+ <,+-+*,/5- -.,*,>+-0 - 0- ,+*0:,.- /+ 0>3 /34-.>3

<,+-+*,/5>3F W,+ /2C-5=>9 2:*@>3 :3:-5,>3 4,/+/+ A:/ *>+<,-5 /+ 0>3 /34-.>3 <,+-+*,/5>3

*>2> 3: 85,+*,8-0 <:/+4/ ./ ,+<>52-*,6+ ; /3>3 /34-.>3 <,+-+*,/5>3 ./C,/5-+9 8>5 0>

4-+4>9 3/5 85/8-5-.>3 ; 85/3/+4-.>3 *>+3,./5-+.> 3:3 +/*/3,.-./3 ./ ,+<>52-*,6+F

&F R>3 /34-.>3 <,+-+*,/5>3 C?3,*>3 *>285/+./+ :+ *>+D:+4> ,+4/55/0-*,>+-.> ./ ,+<>52/39

,+4/=5-.> 8>5 /0 C-0-+*/ =/+/5-09 /0 /34-.> ./ 5/3:04-.>39 /0 /34-.> ./ <0:D> ./ /</*4,B>9 0-3

+>4-3 /U80,*-4,B-3 ; >45>3 -+/U>3 *>280/2/+4-5,>3 A:/ <>52-+ 8-54/ ,+4/=5-0 ./ 0>3

/34-.>3 <,+-+*,/5>3F 1./2?39 8:/./+ ,+*0:,53/ *:-.5>3 3:80/2/+4-5,>3 ; >45- ,+<>52-*,6+

C-3-.- /+ 4-0/3 /34-.>3 <,+-+*,/5>39 A:/ 3/ /38/5- 3/-+ 0/Q.>3 D:+4> *>+ /00>3F W,+ /2C-5=>9

+> 3/ *>+3,./5-+ *>2> 8-54/ ./ 0>3 /34-.>3 <,+-+*,/5>3 C?3,*>3 0>3 ,+<>52/3 3>C5/ =/34,6+

=/5/+*,-09 0>3 *>2/+4-5,>3 ./0 `,5/*4>5,> /+ 0- _/2>5,- 1+:-0 - 0>3 -**,>+,34-3 ; 0>3 -+?0,3,3

85/8-5-.>3 8>5 0- -.2,+,345-*,6+ 3>C5/ 0- ,+<>52-*,6+ <,+-+*,/5-FIF R>3 ,+<>52/3 <,+-+*,/5>3 *>+ >CD/4,B>3 /38/*,-0/39 *>2> 0>3 5/A:/5,.>3 8>5 >5=-+,32>3

<,3*-0,O-.>5/3 *>+ <,+/3 45,C:4-5,>39 +> /34?+ *:C,/54>3 8>5 /0 85/3/+4/ _-5*> K>+*/84:-09 -

2/+>3 A:/ /0 *>+4/+,.> ./ )34/ 3/- *>+3/*:/+4/ *>+ 0-3 +>52-3 8-54,*:0-5/3 A:/ 5,=/+ -

.,*@>3 ,+<>52/3 /38/*,-0/3F

cF 734/ _-5*> K>+*/84:-0 /3 -80,*-C0/ - 0>3 /34-.>3 <,+-+*,/5>3 ./ 4>.-3 0-3 /285/3-3

5/8>54-+4/39 3/-+ *>2/5*,-0/39 ,+.:345,-0/3 ; >45-39 4-+4> /+ /0 3/*4>5 8bC0,*> *>2> /+ /0

85,B-.>F \+- /285/3- 5/8>54-+4/ /3 :+- /285/3- 8-5- 0- *:-0 /U,34/+ :3:-5,>3 A:/ *>+<Q-+ /+

0>3 /34-.>3 <,+-+*,/5>3 *>2> 3: 85,+*,8-0 <:/+4/ ./ ,+<>52-*,6+ <,+-+*,/5- 3>C5/ 0- /285/3-F

>)'1/+E) F )') -(G()+H1H() H( +-IE/J1G+,- 

HF R>3 :3:-5,>3 ./ /34-.>3 <,+-+*,/5>3 ,+*0:;/+ ,+B/53,>+,34-3 -*4:-0/3 ; 8>4/+*,-0/39

/280/-.>39 <,+-+*,34-39 85>B//.>5/3 ; >45>3 -*5//.>5/3 *>2/5*,-0/39 *0,/+4/39 >5=-+,32>3

8bC0,*>3 ; /0 8bC0,*> /+ =/+/5-0F 700>3 :4,0,O-+ 0>3 /34-.>3 <,+-+*,/5>3 8-5- 3-4,3<-*/5 -0=:+-3

Page 11: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 11/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GG

./ 3:3 .,</5/+4/3 +/*/3,.-./3 ./ ,+<>52-*,6+F 734-3 +/*/3,.-./3 ,+*0:;/+ 0-3 3,=:,/+4/3a

-[ 0-A/$*2#-2*5+*E R>3 3:2,+,345-.>5/3 ./ *-8,4-0 ./ 5,/3=> ; 3:3 -3/3>5/3 /34?+ 85/>*:8-.>3

8>5 /0 5,/3=> ,+@/5/+4/ ; 8>5 /0 5/+.,2,/+4> A:/ B-+ - >C4/+/5 ./ 0-3 ,+B/53,>+/39 8>5 0>

4-+4>9 +/*/3,4-+ ,+<>52-*,6+ A:/ 0/3 -;:./ - ./4/52,+-5 3, ./C/+ -.A:,5,59 2-+4/+/5 >

 B/+./5F R>3 -**,>+,34-3 /34?+ 4-2C,)+ ,+4/5/3-.>3 /+ 0- ,+<>52-*,6+ A:/ 0/3 8/52,4-

/B-0:-5 0- *-8-*,.-. ./ 0- /285/3- 8-5- 8-=-5 .,B,./+.>3F

C[ H,?)/+.#*E R>3 45-C-D-.>5/3 /+ =/+/5-09 ; 0-3 -=5:8-*,>+/3 3,+.,*-0/3 /34?+ ,+4/5/3-.>3 /+

0- 3,4:-*,6+ <,+-+*,/5- ./ 0- /285/3- ]/34-C,0,.-.[9 /+ 3: 5/+4-C,0,.-. ; *-8-*,.-. 8-5-

5/38>+./5 -0 8-=> ./ 3:3 5/2:+/5-*,>+/3 ; >45>3 C/+/<,*,>3F

*[ S2-+-62*5+*E R>3 85>B//.>5/3 ./ 5/*:53>3 -D/+>3 - 0>3 85>8,/4-5,>3 ./ 0- /+4,.-. /34?+

,+4/5/3-.>3 /+ 0- ,+<>52-*,6+ A:/ 0/3 8/52,4- /B-0:-5 0- *-8-*,.-. ./ 0- 2,32-

8-5- 8-=-5 0>3 85)34-2>3 ; 3:3 *>55/38>+.,/+4/3 ,+4/5/3/39 /+ 0>3 80-O>3 *>+B/+,.>3F

.[ "$#A//.#$/* : #5$#* +6$//.#$/* 6#,/$62+)/* F 734?+ ,+4/5/3-.>3 /+ 0- ,+<>52-*,6+ A:/ 0/3

8/52,4- ./4/52,+-5 3, 0>3 2>+4>3 A:/ 3/ 0/3 -./:.-+ 3/5?+ 8-=-.>3 - 3: B/+*,2,/+4> 8>5

:+ 8/5Q>.> 2?3 *>54> A:/ /0 A:/ ,+4/5/3- - :+ <,+-+*,34-9 - 2/+>3 A:/ ./8/+.-+ ./ 0-

*>+4,+:,.-. ./ 0- /+4,.-. 8>5 3/5 :+ *0,/+4/ ,28>54-+4/F

/[ 4)2/-5/*E  1 0>3 *0,/+4/3 0/3 ,+4/5/3- .,38>+/5 ./ 0- ,+<>52-*,6+ -*/5*- ./ 0- *>+4,+:,.-. ./

0- /285/3-9 /38/*,-02/+4/ *:-+.> 4,/+/+ *>285>2,3>3 - 0-5=> 80-O> > ./8/+./+

*>2/5*,-02/+4/ ./ /00-F

<[ T$1+-2*,#* ?>8)26#* F R-3 /+4,.-./3 =:C/5+-2/+4-0/3 /34?+ ,+4/5/3-.-3 /+ 0- .,345,C:*,6+ ./0>3 5/*:53>3 ;9 8>5 0> 4-+4>9 8>5 /0 ./3/28/V> ./ 0-3 /285/3-3F (-2C,)+ 5/A:,/5/+ ./ 0-

,+<>52-*,6+ ./34,+-.- - 5/=:0-5 0- -*4,B,.-. ./ 0-3 /285/3-39 <,D-5 8>0Q4,*-3 45,C:4-5,-3 ;

:4,0,O-5 /34- ,+<>52-*,6+ 8-5- 85/8-5-5 3:3 /34-.Q34,*-3 +-*,>+-0/3 2-*5>/*>+62,*-3 ;

>45-3F

=[ ">8)26# /- 1/-/$+) F (>.-3 0-3 8/53>+-39 .,5/*4- > ,+.,5/*4-2/+4/9 /34?+ -</*4-.-3 8>5 0-

-*4,B,.-. ./ 0-3 /285/3-3 ; 8:/./+ 5/A:/5,5 ,+<>52-*,6+ -*/5*- ./ 3: ./3-55>00>9

8/538/*4,B-3 ; -0*-+*/ ./ 3:3 -*4,B,.-./3F

GPF 1:+A:/ /U,34/+ +/*/3,.-./3 ./ ,+<>52-*,6+ A:/ 3>+ *>2:+/3 - 4>.>3 0>3 :3:-5,>3

*,4-.>39 +> 4>.-3 /00-3 8:/./+ A:/.-5 *:C,/54-3 3>0> 8>5 0>3 /34-.>3 <,+-+*,/5>3F M:/34>

A:/ 0>3 ,+B/53,>+,34-3 3>+ 0>3 3:2,+,345-.>5/3 ./ *-8,4-0E 5,/3=> - 0- /285/3-9 0-3

,+<>52-*,>+/3 *>+4/+,.-3 /+ 0>3 /34-.>3 <,+-+*,/5>3 A:/ *:C5-+ 3:3 +/*/3,.-./39 *:C5,5?+

4-2C,)+ 2:*@-3 ./ 0-3 +/*/3,.-./3 A:/ >45>3 :3:-5,>3 /38/5-+ >C4/+/5 ./ 4-0/3 /34-.>3

Page 12: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 12/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G!

<,+-+*,/5>3F

GGF R- 85,+*,8-0 5/38>+3-C,0,.-.9 /+ 5/0-*,6+ *>+ 0- 85/8-5-*,6+ ; 85/3/+4-*,6+ ./ 0>3 /34-.>3

<,+-+*,/5>39 *>55/38>+./ - 0- =/5/+*,- ./ 0- /285/3-F R- 85>8,- =/5/+*,- /34? 4-2C,)+

,+4/5/3-.- /+ 0- ,+<>52-*,6+ A:/ *>+4,/+/+ 0>3 /34-.>3 <,+-+*,/5>39 - 8/3-5 ./ A:/ 4,/+/

-**/3> - >45- ,+<>52-*,6+ <,+-+*,/5- ; ./ =/34,6+ A:/ 0/ -;:.- /+ 3: 80-+,<,*-*,6+9 4>2- ./

./*,3,>+/3 ; 5/38>+3-C,0,.-./3 ./ *>+45>0F R- =/5/+*,- ./ 0- /285/3- 4,/+/ 0- 8>3,C,0,.-. ./

./4/52,+-5 0- <>52- ; *>+4/+,.> ./ 4-0 ,+<>52-*,6+ -.,*,>+-09 ./ 2-+/5- A:/ 3-4,3<-=- 3:3

85>8,-3 +/*/3,.-./39 8/5> +, /3- <>52- +, /3/ *>+4/+,.> *-/+ ./+45> ./0 -0*-+*/ ./0

85/3/+4/ _-5*> K>+*/84:-0F N> >C34-+4/9 0>3 /34-.>3 <,+-+*,/5>3 8:C0,*-.>3 8>5 0-3

/285/3-3 3/ C-3-+ /+ 0- ,+<>52-*,6+ :3-.- 8>5 0- =/5/+*,-9 3>C5/ 0- 3,4:-*,6+ <,+-+*,/5-9 0>3

5/3:04-.>3 ; /0 <0:D> ./ /</*4,B>F

3;3;K  47B&5"C4: $& 84: &:56$4: L"#6#%"&=4: 

G!F 70 >CD/4,B> ./ 0>3 /34-.>3 <,+-+*,/5>3 /3 85>8>5*,>+-5 ,+<>52-*,6+ b4,0 - :+- -280,- =-2-

./ :3:-5,>3 A:/ 4>2-+ ./*,3,>+/3 ./ 4,8> /*>+62,*> -*/5*- ./ 0- 3,4:-*,6+ <,+-+*,/5-9

5/3:04-.>3 ; <0:D> ./ /</*4,B> ./ 0- /+4,.-.F

G#F R>3 /34-.>3 <,+-+*,/5>3 *:C5/+ 0-3 +/*/3,.-./3 *>2:+/3 ./ 0- 2-;>5Q- ./ 0>3 :3:-5,>3F W,+

/2C-5=> /00>3 +> 85>8>5*,>+-+ 4>.- 0- ,+<>52-*,6+ +/*/3-5,- 8-5- 4>2-5 0-3 ./*,3,>+/3

/*>+62,*-39 8:/3 3/ 5/<,/5/+ - /</*4>3 <,+-+*,/5>3 ./ @/*@>3 8-3-.>3 ; +> ,+*0:;/+

+/*/3-5,-2/+4/ ,+<>52-*,6+ A:/ +> 3/- ./ 4,8> <,+-+*,/5>FG$F R>3 /34-.>3 <,+-+*,/5>3 4-2C,)+ 2:/345-+ 0>3 5/3:04-.>3 ./ 0- -.2,+,345-*,6+ 00/B-.- -

*-C> 8>5 0- =/5/+*,-9 > .-+ *:/+4- ./ 3: 5/38>+3-C,0,.-. 8>5 0>3 5/*:53>3 *>+<,-.>3 -

0- 2,32-F 1A:/00>3 :3:-5,>3 A:/ ./3/-+ /B-0:-5 0- -.2,+,345-*,6+ > 5/38>+3-C,0,.-. ./ 0-

=/5/+*,-9 0> @-*/+ 8-5- 4>2-5 ./*,3,>+/3 /*>+62,*-39 *>2> 8:/./+ 3/59 3, 2-+4/+/5 >

 B/+./5 3: ,+B/53,6+ /+ 0- /285/3-9 > 3, *>+4,+:-5 > 5//280-O-5 - 0>3 -.2,+,345-.>5/3

/+*-5=-.>3 ./ 0- =/34,6+ ./ 0- /+4,.-.F

M :+*'1G+,- I+-1-G+(/1N /()'O*1HE) F IO'PE) H( (I(G*+0E 

G%F R-3 ./*,3,>+/3 /*>+62,*-3 A:/ 4>2-+ 0>3 :3:-5,>3 ./ 0>3 /34-.>3 <,+-+*,/5>3 5/A:,/5/+

:+- /B-0:-*,6+ ./ 0- *-8-*,.-. A:/ 0- /285/3- 4,/+/ ./ =/+/5-5 /</*4,B> : >45>3

5/*:53>3 /A:,B-0/+4/3 -0 /</*4,B>9 -3Q *>2> 0- >8>54:+,.-. /+ A:/ 3/ 85>.:*,5?+ ; 0- */54/O-

./ 4-0 =/+/5-*,6+ ./ 0,A:,./OF 7+ ./<,+,4,B-9 /3 /34- *-8-*,.-. 0- A:/ ./4/52,+-9 8>5 /D/280>9

0- 8>3,C,0,.-. A:/ 4,/+/ 0- /285/3- 8-5- 8-=-5 - 3:3 /280/-.>3 ; 85>B//.>5/39 .-5

Page 13: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 13/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G#

*:280,2,/+4> - 0>3 8-=>3 ./ ,+4/5/3/3 ; ./ 85)34-2>3 ; 85>*/./5 - .,345,C:,5 =-+-+*,-3 - 0>3

85>8,/4-5,>3F R>3 :3:-5,>3 8:/./+ /B-0:-5 2/D>5 /34- *-8-*,.-. 8-5- =/+/5-5 /</*4,B>9 3, 3/

0/3 3:2,+,345- ,+<>52-*,6+ */+45-.- /+ 0- 3,4:-*,6+ <,+-+*,/5-9 0>3 5/3:04-.>3 ; /0 <0:D> ./

/</*4,B> ./ 0- /285/3-F

G&F R- 3,4:-*,6+ <,+-+*,/5- ./ :+- /285/3- 3/ B/ -</*4-.- 8>5 0>3 5/*:53>3 /*>+62,*>3

A:/ *>+45>0-9 8>5 3: /345:*4:5- <,+-+*,/5-9 8>5 3: 0,A:,./O ; 3>0B/+*,-9 -3Q *>2> 8>5 0-

*-8-*,.-. 8-5- -.-84-53/ - 0>3 *-2C,>3 @-C,.>3 /+ /0 2/.,> -2C,/+4/ /+ /0 A:/ >8/5-F

R- ,+<>52-*,6+ -*/5*- ./ 0>3 5/*:53>3 /*>+62,*>3 *>+45>0-.>3 8>5 0- /285/3- ; ./

0- *-8-*,.-. A:/ 4:B> 8-5- 2>.,<,*-5 4-0/3 5/*:53>39 /3 b4,0 -0 /B-0:-5 0- 8>3,C,0,.-. A:/ 0-

/285/3- 4,/+/ 8-5- =/+/5-5 /+ /0 <:4:5> /</*4,B> ; ./2?3 /A:,B-0/+4/3 ./ /</*4,B>F R-

,+<>52-*,6+ -*/5*- ./ 0- /345:*4:5- <,+-+*,/5- /3 b4,0 8-5- 85/./*,5 0-3 +/*/3,.-./3

<:4:5-3 ./ 85)34-2>39 -3Q *>2> 8-5- /+4/+./5 *62> 0-3 :4,0,.-./3 ; <0:D>3 ./ /</*4,B> <:4:5>3

3/5?+ .,345,C:,.>3 /+45/ 0>3 A:/ 4,/+/+ 8-54,*,8-*,6+ /+ 0- 85>8,/.-. ./ 0- /285/3-X 4-2C,)+ /3

b4,0 -0 85/./*,5 3, 0- /285/3- 4/+.5? )U,4> /+ 0- >C4/+*,6+ ./ +:/B-3 <:/+4/3 ./

<,+-+*,-2,/+4>F R- ,+<>52-*,6+ -*/5*- ./ 0- 0,A:,./O ; 3>0B/+*,- /3 b4,0 -0 85/./*,5 0- *-8-*,.-.

./ 0- /285/3- 8-5- *:280,5 3:3 *>285>2,3>3 <,+-+*,/5>3 3/=b+ B-;-+ B/+*,/+.>F 70 4)52,+>

0,A:,./O 3/ 5/<,/5/ - 0- .,38>+,C,0,.-. ./ /</*4,B> /+ :+ <:4:5> 856U,2>9 ./38:)3 ./ @-C/5

*>+3,./5-.> /0 8-=> ./ 0>3 *>285>2,3>3 <,+-+*,/5>3 ./0 8/5Q>.>F 70 4)52,+> 3>0B/+*,- 3/

5/<,/5/ - 0- .,38>+,C,0,.-. ./ /</*4,B> *>+ :+- 8/538/*4,B- - 0-5=> 80-O>9 8-5- *:280,5 *>+ 0>3

*>285>2,3>3 <,+-+*,/5>3 3/=b+ B-;-+ B/+*,/+.> 0-3 >C0,=-*,>+/3FGIF R- ,+<>52-*,6+ -*/5*- ./0 ./3/28/V> ./ :+- /285/3-9 ; /+ 8-54,*:0-5 3>C5/ 3: 5/+4-C,0,.-.9

3/ +/*/3,4- 8-5- /B-0:-5 *-2C,>3 8>4/+*,-0/3 /+ 0>3 5/*:53>3 /*>+62,*>39 A:/ /3

85>C-C0/ A:/ 8:/.- *>+45>0-5 /+ /0 <:4:5>F 1 /34/ 5/38/*4>9 0- ,+<>52-*,6+ 3>C5/ 0-

 B-5,-C,0,.-. ./ 0>3 5/3:04-.>3 /3 ,28>54-+4/F R- ,+<>52-*,6+ -*/5*- ./0 ./3/28/V> ./

0- /285/3- /3 b4,0 -0 85/./*,5 0- *-8-*,.-. ./ 0- 2,32- 8-5- =/+/5-5 <0:D>3 ./ /</*4,B> - 8-54,5

./ 0- *>28>3,*,6+ -*4:-0 ./ 3:3 5/*:53>3F (-2C,)+ /3 b4,0 -0 <>52-5 D:,*,>3 -*/5*- ./ 0- /<,*-*,-

*>+ 0- A:/ 0- /285/3- 8:/.- /280/-5 5/*:53>3 -.,*,>+-0/3F

GcF R- ,+<>52-*,6+ -*/5*- ./0 <0:D> ./ /</*4,B> ./ :+- /285/3- /3 b4,0 8-5- /B-0:-5 3:3

-*4,B,.-./3 ./ ,+B/53,6+9 <,+-+*,-2,/+4> ; >8/5-*,>+-0/39 .:5-+4/ /0 8/5Q>.> A:/ *:C5/ 0-

,+<>52-*,6+ <,+-+*,/5-F 734- ,+<>52-*,6+ /3 b4,0 8>5A:/ 3:2,+,345- -0 :3:-5,> 0- C-3/ 8-5-

/B-0:-5 0- *-8-*,.-. ./ 0- /285/3- 8-5- =/+/5-5 /</*4,B> ; >45>3 5/*:53>3 /A:,B-0/+4/3 -0

2,32>9 -3Q *>2> 0-3 +/*/3,.-./3 ./ 0- /285/3- 8-5- :4,0,O-5 4-0/3 <0:D>3 ./ /</*4,B>F 10

Page 14: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 14/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G$

85/8-5-5 /0 /34-.> ./ <0:D> ./ /</*4,B>9 /0 3,=+,<,*-.> ./0 4)52,+> ―fondos‖  8:/./ 3/5

./<,+,.> ./ B-5,-3 2-+/5-39 4-0/3 *>2> 5/*:53>3 <,+-+*,/5>39 *-8,4-0 ./ 45-C-D>9 -*4,B>3

*,5*:0-+4/3 > /</*4,B>F 7+ K@,0/ /0 4)52ino ―fondos‖ es ./<,+,.> *>2> /</*4,B> ; /A:,B-0/+4/3

./ /</*4,B>F

GHF R- ,+<>52-*,6+ -*/5*- ./ 0- 3,4:-*,6+ <,+-+*,/5- /3 85>8>5*,>+-.- C?3,*-2/+4/ 8>5 /0

C-0-+*/ =/+/5-0F R- ,+<>52-*,6+ -*/5*- ./0 ./3/28/V> /3 3:2,+,345-.- <:+.-2/+4-02/+4/

8>5 /0 /34-.> ./ 5/3:04-.>3F R- ,+<>52-*,6+ -*/5*- ./ 0>3 <0:D>3 ./ <>+.>3 /3 3:2,+,345-.-

8>5 /0 /34-.> ./ <0:D> ./ /</*4,B>F

!PF R-3 8-54/3 A:/ *>28>+/+ 0>3 /34-.>3 <,+-+*,/5>3 /34?+ ,+4/55/0-*,>+-.-3 8>5A:/ 5/<0/D-+

.,</5/+4/3 -38/*4>3 ./ 0-3 2,32-3 45-+3-**,>+/3 : >45>3 @/*@>3 A:/ @-+ -</*4-.> - 0-

/285/3-F 1:+A:/ *-.- :+> ./ 0>3 /34-.>3 3:2,+,345- ,+<>52-*,6+ A:/ /3 .,</5/+4/ ./ 0>3

./2?39 /3 ,285>C-C0/ A:/ :+> 3/- 3:<,*,/+4/ 8-5- :+ 85>863,4> /+ 8-54,*:0-5 > A:/ *>+4/+=-

4>.- 0- ,+<>52-*,6+ +/*/3-5,- 8-5- -0=:+- +/*/3,.-. ./ 0>3 :3:-5,>3 /+ 8-54,*:0-5F M>5

/D/280>9 :+ /34-.> ./ 5/3:04-.>3 3:2,+,345- :+ *:-.5> ,+*>280/4> ./0 ./3/28/V> ./ 0-

/285/3-9 - 2/+>3 A:/ 3/ :3/ /+ *>+D:+4> *>+ /0 C-0-+*/ =/+/5-0 ; *>+ /0 /34-.> ./ <0:D>3 ./

/</*4,B>F

!GF R>3 /34-.>3 <,+-+*,/5>3 4-2C,)+ *>+4,/+/+ +>4-39 *:-.5>3 *>280/2/+4-5,>3 ; >45-

,+<>52-*,6+F M>5 /D/280>9 8:/./+ *>+4/+/5 ,+<>52-*,6+ -.,*,>+-0 A:/ 3/- 5/0/B-+4/

8-5- 0-3 +/*/3,.-./3 ./ 0>3 :3:-5,>3 5/38/*4> - ./4/52,+-.-3 8-54,.-3 ./0 C-0-+*/ =/+/5-0 ;

./0 /34-.> ./ 5/3:04-.>3F M:/./+ ,+*0:,59 /+45/ >45>39 ,+<>52-*,>+/3 -*/5*- ./ 0>3*5,4/5,>3 *>+4-C0/3 -80,*-.>39 *-2C,>3 *>+4-C0/39 3-0.>3 ; 45-+3-**,>+/3 *>+ /285/3-3

5/0-*,>+-.-39 ,+B/53,>+/3 /+ /285/3-3 5/0-*,>+-.-39 ,28:/34>3 - 0- 5/+4-9 ,28:/34>3

.,</5,.>39 *-2C,>3 /+ /0 M-45,2>+,>9 0>3 5,/3=>3 / ,+*/54,.:2C5/3 A:/ -</*4-+ - 0- /285/3-9 ;

4-2C,)+ 3>C5/ 5/*:53>3 : >C0,=-*,>+/3 +> 5/*>+>*,.-3 /+ /0 C-0-+*/ =/+/5-0 ]4-0/3 *>2>

5/3/5B-3 2,+/5-3[F 13,2,32>9 8:/./ 4-2C,)+ 85>8>5*,>+-53/9 /+ 0-3 +>4-3 ; *:-.5>3

*>280/2/+4-5,>39 ,+<>52-*,6+ -*/5*- ./ 3/=2/+4>3 ./ +/=>*,>3 > =/>=5?<,*>39 > -*/5*- ./0

/</*4> 3>C5/ 0- /285/3- ./ 0>3 *-2C,>3 /+ 0>3 85/*,>3F

Page 15: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 15/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G%

3;3;Q  .4:5>86$4: 7 9:"%4: 

3R $(0(-S1HE 

!!F K>+ /0 <,+ ./ *:280,5 3:3 >CD/4,B>39 0>3 /34-.>3 <,+-+*,/5>3 3/ 85/8-5-+ 3>C5/ 0- C-3/ ./

./B/+=-.>F W/=b+ /34- C-3/9 0>3 /</*4>3 ./ 0-3 45-+3-**,>+/3 ; ./2?3 @/*@>3 3/ 5/*>+>*/+

*:-+.> >*:55/+ ]; +> *:-+.> 3/ 5/*,C/ > 8-=- .,+/5> : >45> /A:,B-0/+4/ ./ /</*4,B>[9 3/

5/=,345-+ /+ 0>3 0,C5>3 *>+4-C0/3 ; 3/ ,+<>52- 3>C5/ /00>3 /+ 0>3 /34-.>3 <,+-+*,/5>3 ./ 0>3

8/5Q>.>3 *>+ 0>3 *:-0/3 3/ 5/0-*,>+-+F R>3 /34-.>3 <,+-+*,/5>3 85/8-5-.>3 3>C5/ 0- C-3/

./ ./B/+=-.> ,+<>52-+ - 0>3 :3:-5,>3 +> 3>0> ./ 0-3 45-+3-**,>+/3 8-3-.-3 A:/

3,=+,<,*-5>+ *>C5>3 > 8-=>3 ./ .,+/5>9 3,+> 4-2C,)+ ./ 0-3 >C0,=-*,>+/3 ./ 8-=> /+ /0

<:4:5> ; ./ 0>3 5/*:53>3 A:/ 5/85/3/+4-+ /</*4,B> - *>C5-5 /+ /0 <:4:5>F M>5 4>.> 0>

-+4/5,>59 4-0/3 /34-.>3 3:2,+,345-+ /0 4,8> ./ ,+<>52-*,6+9 -*/5*- ./ 0-3 45-+3-**,>+/3 ;

>45>3 @/*@>3 8-3-.>39 A:/ 5/3:04-+ 2?3 b4,0/3 - 0>3 :3:-5,>3 -0 4>2-5 ./*,3,>+/3 /*>+62,*-3FAR %E-G(T*E H( (JT/()1 (- J1/GU1 

!#F R>3 /34-.>3 <,+-+*,/5>3 3/ 85/8-5-+ +>52-02/+4/ 3>C5/ 0- C-3/ ./ A:/ 0- /285/3-

/34? /+ <:+*,>+-2,/+4> ; *>+4,+:-5? 3:3 -*4,B,.-./3 ./ >8/5-*,6+ ./+45> ./0 <:4:5>

85/B,3,C0/F M>5 0> 4-+4>9 3/ -3:2/ A:/ 0- /285/3- +> 4,/+/ +, 0- ,+4/+*,6+ +, 0- +/*/3,.-. ./

0,A:,.-5 > .,32,+:,5 ./ <>52- ,28>54-+4/ /0 +,B/0 ./ 3:3 >8/5-*,>+/3F W, 4-0 ,+4/+*,6+ >

+/*/3,.-. /U,34,/5-9 0>3 /34-.>3 <,+-+*,/5>3 8:/./+ 4/+/5 A:/ 85/8-5-53/ 3>C5/ :+- C-3/

.,</5/+4/ ;9 3, -3Q <:/5-9 3/ 5/B/0-5? 0- C-3/ :4,0,O-.-F

3;3;V  % 6=6%5&=W:5"%6: %>68"565"C6: $& 84: &:56$4: L"#6#%"&=4:

!$F R-3 *-5-*4/5Q34,*-3 *:-0,4-4,B-3 3>+ -45,C:4>3 A:/ @-*/+ b4,0 8-5- 0>3 :3:-5,>3 0- ,+<>52-*,6+

*>+4/+,.- /+ 0>3 /34-.>3 <,+-+*,/5>3F 734-3 *-5-*4/5Q34,*-3 3>+a

GF K>285/+3,C,0,.-.

!F d/0/B-+*,-

E Z28>54-+*,- 5/0-4,B-

#F ^,-C,0,.-.$F K>28-5-C,0,.-.

3R %EJT/(-)+X+O+H1H 

!%F R- ,+<>52-*,6+ ./C/ 3/5 <?*,02/+4/ *>285/+3,C0/ 8-5- 0>3 :3:-5,>39 A:,/+/3 3/ 3:8>+/ A:/

4,/+/+ :+ *>+>*,2,/+4> 3:<,*,/+4/ ./ 0-3 -*4,B,.-./3 /*>+62,*-39 ./0 2:+.> ./ 0>3 +/=>*,>39

Page 16: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 16/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G&

-3Q *>2> ./ *>+4-C,0,.-. ; A:/ 4,/+/+ 0- ,+4/+*,6+ ; 0- B>0:+4-. ./ -+-0,O-5 0- ,+<>52-*,6+

/+ <>52- 5-O>+-C0/2/+4/ *:,.-.>3-F R- ,+<>52-*,6+ A:/ 5/B,34/ *>280/D,.-.9 ; A:/ 3/-

+/*/3-5,- 8-5- 0- 4>2- ./ ./*,3,>+/39 +> ./C/ 3/5 /U*0:,.- 3>0> 8>5A:/ )34- 3/- ./ 2:;

.,<Q*,0 *>285/+3,6+ 8>5 -0=:+>3 :3:-5,>3F

AR =(O(01-G+1 

!&F M-5- 3/5 b4,09 0- ,+<>52-*,6+ ./C/ 3/5 5/0/B-+4/ 8-5- 0-3 +/*/3,.-./3 ./ 4>2- ./ ./*,3,>+/3

8>5 8-54/ ./ 0>3 :3:-5,>3F R- ,+<>52-*,6+ 8>3// 0- *:-0,.-. ./ 0- 5/0/B-+*,- *:-+.> /D/5*/

,+<0:/+*,- 3>C5/ 0-3 ./*,3,>+/3 /*>+62,*-3 ./ 0>3 A:/ 0- :4,0,O-+9 -;:.?+.>0/3 - /B-0:-5

@/*@>3 8-3-.>39 85/3/+4/3 > <:4:5>39 > C,/+ - *>+<,52-5 > *>55/=,5 /B-0:-*,>+/3 5/-0,O-.-3

-+4/5,>52/+4/F

!IF 70 5>0 85/.,*4,B> ; /0 ./ *>+<,52-*,6+ ./ 0- ,+<>52-*,6+ /34?+ ,+4/55/0-*,>+-.>3F

M>5 /D/280>9 0- ,+<>52-*,6+ -*/5*- ./0 +,B/0 -*4:-0 ; 0- /345:*4:5- ./ 0>3 -*4,B>3 8>3/Q.>3

4,/+/ B-0>5 8-5- 0>3 :3:-5,>3 *:-+.> ,+4/+4-+ 85/./*,5 0- *-8-*,.-. ./ 0- /285/3- 8-5-

-85>B/*@-5 3:3 >8>54:+,.-./3 ; 3: *-8-*,.-. 8-5- 5/-**,>+-5 -+4/ 3,4:-*,>+/3 -.B/53-3F R-

2,32- ,+<>52-*,6+ 3,5B/ 8-5- *>+<,52-5 85/.,**,>+/3 -+4/5,>5/39 8>5 /D/280>9 3>C5/ 0-

2-+/5- /+ A:/ 0- /285/3- 3/ /345:*4:5-5Q- > 3>C5/ /0 5/3:04-.> ./ 0-3 -*4,B,.-./3

80-+,<,*-.-3F

!cF ^5/*:/+4/2/+4/9 0- ,+<>52-*,6+ -*/5*- ./ 0- 3,4:-*,6+ <,+-+*,/5- ; 0- -*4,B,.-. 8-3-.- 3/

:3- *>2> C-3/ 8-5- 85/./*,5 0- 3,4:-*,6+ <,+-+*,/5- ; 0- -*4,B,.-. <:4:5-9 -3Q *>2> >45>3

-3:+4>3 /+ 0>3 A:/ 0>3 :3:-5,>3 /34?+ .,5/*4-2/+4/ ,+4/5/3-.>39 4-0/3 *>2> 8-=> ./.,B,./+.>3 ; 5/2:+/5-*,>+/39 /B>0:*,6+ ./ 0-3 *>4,O-*,>+/3 C:53?4,0/3 ./ 0-3 -**,>+/39 ; 0-

*-8-*,.-. ./ 0- /285/3- 8-5- 8-=-5 3:3 ./:.-3 -0 B/+*,2,/+4>F R- ,+<>52-*,6+ +>

+/*/3,4-9 8-5- 4/+/5 B-0>5 85/.,*4,B>9 /34-5 /U80Q*,4-2/+4/ /+ <>52- ./ .-4>3 85>;/*4-.>3F

W,+ /2C-5=>9 0- *-8-*,.-. ./ @-*/5 85/.,**,>+/3 - 8-54,5 ./ 0>3 /34-.>3 <,+-+*,/5>3

8:/./ -*5/*/+4-53/ 8>5 0- 2-+/5- *>2> /3 85/3/+4-.- 0- ,+<>52-*,6+ 3>C5/ 0-3

45-+3-**,>+/3 ; >45>3 @/*@>3 8-3-.>3F M>5 /D/280>9 /0 B-0>5 85/.,*4,B> ./0 /34-.> ./

5/3:04-.>3 3/ 5/<:/5O- 3, 3/ 85/3/+4-+ 3/8-5-.-2/+4/ 0>3 =-34>3 > ,+=5/3>3 ,+:3:-0/39

-+>52-0/3 / ,+<5/*:/+4/3F

"JTE/*1-G+1 /(O1*+01

!HF R- 5/0/B-+*,- ./ 0- ,+<>52-*,6+ /34? -</*4-.- 8>5 3: +-4:5-0/O- / ,28>54-+*,- 5/0-4,B-F 7+

-0=:+>3 *-3>39 0- +-4:5-0/O- ./ 0- ,+<>52-*,6+9 8>5 3Q 2,32-9 /3 3:<,*,/+4/ 8-5-

./4/52,+-5 3: 5/0/B-+*,-F M>5 /D/280>9 0- 85/3/+4-*,6+ ./ ,+<>52-*,6+ 3>C5/ :+ +:/B>

Page 17: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 17/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GI

3/=2/+4> ./ +/=>*,>3 8:/./ -</*4-5 - 0- /B-0:-*,6+ ./ 0>3 5,/3=>3 ; >8>54:+,.-./3 - 0>3

A:/ 3/ /+<5/+4- 0- /285/3-9 *>+ ,+./8/+./+*,- ./ 0- ,28>54-+*,- 5/0-4,B- ./ 0>3

5/3:04-.>3 -0*-+O-.>3 8>5 /3/ +:/B> 3/=2/+4> /+ /0 8/5Q>.> *>+4-C0/F 7+ >45>3 *-3>39 4-+4>

0- +-4:5-0/O- *>2> 0- ,28>54-+*,- 5/0-4,B- 3>+ 3,=+,<,*-4,B-3 *>2>9 8>5 /D/280>9 0>3

3-0.>3 ./ /U,34/+*,-39 85/3/+4-.>3 /+ *-.- :+- ./ 0-3 *-4/=>5Q-3 85,+*,8-0/3 A:/ 3>+

-85>8,-.-3 8-5- /0 +/=>*,>F

#PF R- ,+<>52-*,6+ 4,/+/ ,28>54-+*,- 5/0-4,B-9 *:-+.> 3: >2,3,6+ > 85/3/+4-*,6+ /556+/-

8:/./+ ,+<0:,5 /+ 0-3 ./*,3,>+/3 /*>+62,*-3 ./ 0>3 :3:-5,>39 4>2-.-3 - 8-54,5 ./ 0>3 /34-.>3

<,+-+*,/5>3F R- ,28>54-+*,- 5/0-4,B- ./8/+./ ./0 2>+4> ./ 0- 8-54,.- >2,4,.-9 > ./0 /55>5 ./

/B-0:-*,6+ /+ 3: *-3>9 D:O=-.>3 3,/285/ ./+45> ./ 0-3 *,5*:+34-+*,-3 8-54,*:0-5/3 ./ 0-

>2,3,6+ > /0 /55>5F `/ /34- 2-+/5-9 /0 8-8/0 ./ 0- ,28>54-+*,- 5/0-4,B- /3 3:2,+,345-5 :+

:2C5-0 > 8:+4> ./ *>54/9 2?3 A:/ 3/5 :+- *-5-*4/5Q34,*- *:-0,4-4,B- 85,2>5.,-0 A:/ 0-

,+<>52-*,6+ ./C/ 4/+/5 8-5- 3/5 b4,0F

DR L+1X+O+H1H 

#GF M-5- 3/5 b4,09 0- ,+<>52-*,6+ 4-2C,)+ ./C/ 3/5 <,-C0/F R- ,+<>52-*,6+ 8>3// 0- *:-0,.-. ./

<,-C,0,.-. *:-+.> /34? 0,C5/ ./ /55>5 3,=+,<,*-4,B> ; ./ 3/3=> > 85/D:,*,>9 ; 0>3 :3:-5,>3

8:/./+ *>+<,-5 /+ A:/ /3 0- ,2-=/+ <,/0 ./ 0> A:/ 85/4/+./ 5/85/3/+4-59 > ./ 0> A:/

8:/./ /38/5-53/ 5-O>+-C0/2/+4/ A:/ 5/85/3/+4/F

#!F R- ,+<>52-*,6+ 8:/./ 3/5 5/0/B-+4/9 8/5> 4-+ 8>*> *>+<,-C0/ /+ 3: +-4:5-0/O-9 *>2> /+ 3:

85/3/+4-*,6+9 A:/ 3: 5/*>+>*,2,/+4> 8:/.- 3/5 8>4/+*,-02/+4/ :+- <:/+4/ ./ /A:QB>*>3FM>5 /D/280>9 3, 3/ /+*:/+45- /+ .,38:4- D:.,*,-0 0- 0/=,4,2,.-. ; 2>+4> ./ :+-

,+./2+,O-*,6+ 8>5 .-V>39 8:/./ +> 3/5 -85>8,-.> 8-5- 0- /285/3- 5/*>+>*/5 /0 2>+4>

4>4-0 ./ 0- ,+./2+,O-*,6+ /+ /0 C-0-+*/ =/+/5-0F W,+ /2C-5=>9 8:/./ 5/3:04-5 -85>8,-.>

5/B/0-5 /+ +>4-3 /0 2>+4> ; -+4/*/./+4/3 ./ 0- ,+./2+,O-*,6+F

-[ d/85/3/+4-*,6+ <,/0

##F M-5- 3/5 <,-C0/9 0- ,+<>52-*,6+ ./C/ 5/85/3/+4-5 <,/02/+4/ 0-3 45-+3-**,>+/3 ; ./2?3 @/*@>3

A:/ 85/4/+./ 5/85/3/+4-59 > A:/ 3/ 8:/./ /38/5-5 5-O>+-C0/2/+4/ A:/ 5/85/3/+4/F 13Q9 8>5

/D/280>9 :+ C-0-+*/ =/+/5-0 ./C/ 5/85/3/+4-5 <,/02/+4/ 0-3 45-+3-**,>+/3 ; ./2?3 @/*@>3

A:/ @-+ .-.> *>2> 5/3:04-.> 0>3 -*4,B>39 8-3,B>3 ; 8-45,2>+,> ./ 0- /285/3- /+ 0- </*@-

./ *,/55/9 3,/285/ A:/ *:280-+ 0>3 5/A:,3,4>3 8-5- 3: 5/*>+>*,2,/+4> *>+4-C0/F

#$F S:/+- 8-54/ ./ 0- ,+<>52-*,6+ <,+-+*,/5- /34? 3:D/4- - *,/54> 5,/3=> ./ +> 3/5 /0 5/<0/D> <,/0

./ 0> A:/ 85/4/+./ 5/85/3/+4-5F 734> +> /3 ./C,.> -0 3/3=> > 85/D:,*,>9 3,+> 2?3 C,/+ - 0-3

Page 18: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 18/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) Gc

.,<,*:04-./3 ,+@/5/+4/39 4-+4> - 0- ,./+4,<,*-*,6+ ./ 0-3 45-+3-**,>+/3 ; ./2?3 @/*@>3

A:/ ./C/+ 2/.,53/9 *>2> - 0- /0/**,6+ ; -80,*-*,6+ ./ 0-3 4)*+,*-3 ./ 2/.,*,6+ ;

85/3/+4-*,6+ A:/ /+45/=-+ ,+<>52-*,6+ 5/0-*,>+-.- *>+ /3-3 45-+3-**,>+/3 ; @/*@>3F 7+

*,/54>3 *-3>39 0- 2/.,*,6+ ./ 0>3 /</*4>3 <,+-+*,/5>3 ./ 0-3 45-+3-**,>+/3 *>+00/B- 4-+4-

,+*/54,.:2C5/ A:/ 0-3 /285/3-39 +> 0>3 5/*>+>*/+ /+ 0>3 /34-.>3 <,+-+*,/5>3F M>5

/D/280>9 -:+A:/ 2:*@-3 /285/3-3 =/+/5-+ *>+ /0 4,/28> :+- 80:3B-0Q-9 /3 :3:-02/+4/

.,<Q*,0 ,./+4,<,*-5 > 2/.,5 <,-C0/2/+4/ 4-0 -*4,B> ,+4-+=,C0/F W,+ /2C-5=>9 /+ >45>3 *-3>3 8:/./

3/5 5/0/B-+4/ 5/*>+>*/5 *,/54-3 8-54,.-3 ; 5/B/0-5 /0 5,/3=> ./ /55>5 A:/ ,280,*- 3:

5/*>+>*,2,/+4> ; 2/.,*,6+F

C[ R- /3/+*,- 3>C5/ 0- <>52-

#%F W, 0- ,+<>52-*,6+ 4,/+/ *>2> >CD/4,B> 5/85/3/+4-5 <,/02/+4/ 0-3 45-+3-**,>+/3 ; ./2?3

@/*@>3 A:/ 3/ 85/4/+./+ 5/<0/D-59 /3 +/*/3-5,> A:/ )34>3 3/ *>+4-C,0,*/+ ; 85/3/+4/+ ./

-*:/5.> *>+ 3: /3/+*,- ; 5/-0,.-. /*>+62,*-9 ; +> 2/5-2/+4/ 3/=b+ 3: <>52- 0/=-0F R-

/3/+*,- ./ 0-3 45-+3-**,>+/3 ; ./2?3 @/*@>3 +> 3,/285/ 3>+ *>+3,34/+4/3 *>+ 0> A:/

-8-5/+4-+ 8>5 3: <>52- 0/=-0 > /U4/5+-F M>5 /D/280>9 :+- /285/3- 8:/./ B/+./5 :+

-*4,B> - :+ 4/5*/5> ./ 4-0 2-+/5- A:/ 0- .>*:2/+4-*,6+ -8>54-.- .) - /+4/+./5 A:/ 0-

85>8,/.-. @- 8-3-.> - /34/ 4/5*/5>F W,+ /2C-5=>9 8:/./+ /U,34,5 3,2:04?+/-2/+4/

-*:/5.>3 A:/ -3/=:5/+ - 0- /285/3- *>+4,+:-5 .,3<5:4-+.> ./ 0>3 C/+/<,*,>3

/*>+62,*>3 ./0 -*4,B> /+ *:/34,6+F 7+ 4-0/3 *,5*:+34-+*,-39 85/3/+4-5 ,+<>52-*,6+ 3>C5/

0- /U,34/+*,- ./ :+- B/+4- +> 5/85/3/+4- <,/02/+4/ 0- 45-+3-**,6+ /</*4:-.- ]3, /3 A:/ /+5/-0,.-. @:C,/3/ >*:55,.> 4-0 45-+3-**,6+[F

*[ N/:45-0,.-.

#&F M-5- 3/5 <,-C0/9 0- ,+<>52-*,6+ *>+4/+,.- /+ 0>3 /34-.>3 <,+-+*,/5>3 ./C/ 3/5 +/:45-09 /3

./*,59 0,C5/ ./ 3/3=> > 85/D:,*,>F R>3 /34-.>3 <,+-+*,/5>3 +> 3>+ +/:45-0/3 3,9 8>5 0-

2-+/5- ./ *-84-5 > 85/3/+4-5 0- ,+<>52-*,6+9 ,+<0:;/+ /+ 0- 4>2- ./ :+- ./*,3,6+ > /+ 0-

<>52-*,6+ ./ :+ D:,*,>9 - <,+ ./ *>+3/=:,5 :+ 5/3:04-.> > ./3/+0-*/ 85/./4/52,+-.>F

.[ M5:./+*,-

#IF N> >C34-+4/9 A:,/+/3 85/8-5-+ /34-.>3 <,+-+*,/5>3 4,/+/+ A:/ /+<5/+4-53/ *>+ 0-3

,+*/54,.:2C5/3 A:/9 ,+/B,4-C0/2/+4/9 5>./-+ 2:*@>3 -*>+4/*,2,/+4>3 ;

*,5*:+34-+*,-39 4-0/3 *>2> 0- 5/*:8/5-C,0,.-. ./ ./:.>5/3 .:.>3>39 0- B,.- b4,0 85>C-C0/ ./

0-3 85>8,/.-./39 80-+4-3 ; /A:,8>3 > /0 +b2/5> ./ 3>0,*,4:./3 ./ *:280,2,/+4> ./

=-5-+4Q-3 8>34EB/+4- A:/ 8:/.- 5/*,C,5 0- /285/3-F (-0/3 ,+*/54,.:2C5/3 3>+

Page 19: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 19/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GH

5/*>+>*,.-3 2/.,-+4/ 0- 85/3/+4-*,6+ ./ ,+<>52-*,6+ -*/5*- ./ 3: +-4:5-0/O- ; 2>+4>

85>C-C0/9 -3Q *>2> 8>5 /0 /D/5*,*,> ./ 85:./+*,- /+ 0- 85/8-5-*,6+ ./ 0>3 /34-.>3

<,+-+*,/5>3F M5:./+*,- /3 0- ,+*0:3,6+ ./ :+ *,/54> =5-.> ./ 85/*-:*,6+9 -0 5/-0,O-5 0>3

D:,*,>3 +/*/3-5,>3 -0 @-*/5 0-3 /34,2-*,>+/3 5/A:/5,.-3 C-D> *>+.,*,>+/3 ./ ,+*/54,.:2C5/9 ./

4-0 2-+/5- A:/ 0>3 -*4,B>3 > 0>3 ,+=5/3>3 +> 3/ 3>C5/B-0>5/+ ; A:/ 0-3 >C0,=-*,>+/3 > 0>3

=-34>3 +> 3/ 3:CB-0>5/+F N> >C34-+4/9 0- -80,*-*,6+ ./ 0- 85:./+*,- +> 8/52,4/9 8>5

/D/280>9 0- *5/-*,6+ ./ 5/3/5B-3 >*:04-3 > 85>B,3,>+/3 /U*/3,B-39 0- 3:CEB-0>5-*,6+

./0,C/5-.- ./ -*4,B>3 > ,+=5/3>39 +, 0- 3>C5/EB-0>5-*,6+ ./0,C/5-.- ./ >C0,=-*,>+/3 > =-34>39

8>5A:/ 0>3 /34-.>3 <,+-+*,/5>3 +> 5/3:04-5Q-+ +/:45-0/3 ; 8>5 0> 4-+4>9 +> 4/+.5Q-+ 0- *:-0,.-.

./ 0- <,-C,0,.-.F

/[ Z+4/=5,.-.

#cF M-5- 3/5 <,-C0/9 0- ,+<>52-*,6+ /+ 0>3 /34-.>3 <,+-+*,/5>3 ./C/ 3/5 *>280/4- ./+45> ./ 0>3

0Q2,4/3 ./ 3: ,28>54-+*,- 5/0-4,B- ; 3: *>34>F \+- >2,3,6+ 8:/./ *-:3-5 A:/ 0-

,+<>52-*,6+ 3/- <-03- > /A:QB>*-9 ; 8>5 0> 4-+4> +> <,-C0/ ; ./<,*,/+4/ /+ 4)52,+>3 ./ 3:

5/0/B-+*,-F

KR %EJT1/1X+O+H1H

#HF R>3 :3:-5,>3 ./C/+ 3/5 *-8-*/3 ./ *>28-5-5 0>3 /34-.>3 <,+-+*,/5>3 ./ :+- /285/3- - 0>

0-5=> ./0 4,/28>9 *>+ /0 <,+ ./ ,./+4,<,*-5 0-3 4/+./+*,-3 ./ 0- 3,4:-*,6+ <,+-+*,/5- ; ./ 3:3

5/3:04-.>3F (-2C,)+ ./C/+ 3/5 *-8-*/3 ./ *>28-5-5 0>3 /34-.>3 <,+-+*,/5>3 ./ /285/3-3

.,</5/+4/39 *>+ /0 <,+ ./ /B-0:-5 3: 8>3,*,6+ <,+-+*,/5-9 5/3:04-.>3 ; <0:D> ./ /</*4,B> /+

4)52,+>3 5/0-4,B>3F M>5 0> 4-+4>9 0- 2/.,*,6+ ; 0- 85/3/+4-*,6+ ./ 0>3 /</*4>3 <,+-+*,/5>3 ./

45-+3-**,>+/3 ; @/*@>3 3,2,0-5/39 ./C/+ 3/5 /</*4:-.-3 :+,<>52/2/+4/ 8>5 0- /285/3- ./

:+ 8/5Q>.> - >45> ; 4-2C,)+ ./ 2-+/5- *>+3,34/+4/ /+45/ .,</5/+4/3 /285/3-3F

$PF R- *-5-*4/5Q34,*- *:-0,4-4,B- ./ 0- *>28-5-C,0,.-. ,280,*- A:/ 0>3 :3:-5,>3 @-+ ./ 3/5

,+<>52-.>3 ./ 0-3 8>0Q4,*-3 *>+4-C0/3 /280/-.-3 /+ 0- 85/8-5-*,6+ ./ 0>3 /34-.>3

<,+-+*,/5>39 ./ *:-0A:,/5 *-2C,> @-C,.> /+ 4-0/3 8>0Q4,*-3 ; ./ 0>3 /</*4>3 ./ 4-0/3

*-2C,>3F R>3 :3:-5,>3 +/*/3,4-+ 3/5 *-8-*/3 ./ ,./+4,<,*-5 0-3 .,</5/+*,-3 /+45/ 0-3 8>0Q4,*-3*>+4-C0/3 :3-.-39 8-5- 3,2,0-5/3 45-+3-**,>+/3 ; >45>3 @/*@>39 8>5 0- 2,32- /285/3- ./

:+ 8/5Q>.> - >45>9 ; 4-2C,)+ 8>5 .,</5/+4/3 /285/3-3F R- *>+<>52,.-. *>+ 0>3

85,+*,8,>3 ./ *>+4-C,0,.-. =/+/5-02/+4/ -*/84-.>3 /+ K@,0/9 ,+*0:;/+.> 0- 5/B/0-*,6+

./ 0-3 8>0Q4,*-3 *>+4-C0/3 :3-.-3 8>5 0- /285/3-9 /3 :+- -;:.- 8-5- -0*-+O-5 0-

./3/-.- *>28-5-C,0,.-.F

Page 20: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 20/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !P

$GF R- +/*/3,.-. ./ *>28-5-C,0,.-. +> ./C/ 3/5 *>+<:+.,.- 3>0> *>+ :+,<>52,.-. ; 4-28>*>

./C/ 8/52,4,53/ A:/ 00/=:/ - 3/5 :+ ,28/.,2/+4> 8-5- 0- ,+45>.:**,6+ ./ +>52-3 ./

*>+4-C,0,.-. 2?3 -./*:-.-3F N> /3 -85>8,-.> 8-5- :+- /285/3- *>+4,+:-5 *>+4-C,0,O-+.>

./ 0- 2,32- <>52- :+- 45-+3-**,6+ : >45> @/*@> 3, 0- 8>0Q4,*- *>+4-C0/ -.>84-.- +>

*>+*:/5.- *>+ 3:3 *-5-*4/5Q34,*-3 *:-0,4-4,B-3 ./ 5/0/B-+*,- ; <,-C,0,.-.F (-2C,)+ /3

,+-85>8,-.> 8-5- :+- /285/3- *>+3/5B-5 3,+ *-2C,>3 3:3 8>0Q4,*-3 *>+4-C0/3 *:-+.> /U,34-+

>45-3 -04/5+-4,B-3 2?3 5/0/B-+4/3 > <,-C0/3F

$!F (/+,/+.> 85/3/+4/ A:/ 0>3 :3:-5,>3 ./3/-+ *>28-5-5 0- 3,4:-*,6+ <,+-+*,/5-9 5/3:04-.>3 ;

<0:D> ./ /</*4,B> ./ :+- /285/3- - 0> 0-5=> ./0 4,/28>9 /3 ,28>54-+4/9 A:/ 0>3

/34-.>3 <,+-+*,/5>3 2:/345/+ 0- *>55/38>+.,/+4/ ,+<>52-*,6+ ./ 0>3 8/5Q>.>3 -+4/5,>5/3F

Page 21: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 21/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !G

3;3;Y  = &:5="%%"4#&: 6 86 "#L4=<6%"@# = &8&C6#5& Z L"678& 

G[ e8>54:+,.-. ./ 0- ,+<>52-*,6+

$#F W, @-; :+ 5/45-3> ,+./C,.> /+ 0- 85/3/+4-*,6+ ./ 0- ,+<>52-*,6+9 )34- 8:/./ 8/5./5 3:

5/0/B-+*,-F R- =/5/+*,- 8:/./ +/*/3,4-5 /B-0:-5 0-3 B/+4-D-3 ./ 0- 85/3/+4-*,6+ - 4,/28>

<5/+4/ -0 3:2,+,345> ./ ,+<>52-*,6+ <,-C0/F 1 2/+:.>9 8-5- 3:2,+,345-5 ,+<>52-*,6+ -

4,/28> /3 +/*/3-5,> 85/3/+4-50- -+4/3 ./ A:/ 4>.>3 0>3 -38/*4>3 ./ :+- ./4/52,+-.-

45-+3-**,6+ : >45> @/*@> 3/-+ *>+>*,.>39 8/5D:.,*-+.> -3Q 3: <,-C,0,.-.F 1 0- ,+B/53-9 3, 0-

85/3/+4-*,6+ 3/ ./2>5- @-34- 8>./5 *>+>*/5 4>.>3 3:3 -38/*4>39 0- ,+<>52-*,6+ 8:/./ 3/5

-04-2/+4/ <,-C0/9 8/5> ./ 8>*- :4,0,.-. 8-5- 0>3 :3:-5,>3 A:/ @-+ 4/+,.> A:/ 4>2-5 ./*,3,>+/3

/+ /0 ,+4/54-+4>F M-5- 0>=5-5 :+ /A:,0,C5,> /+45/ 5/0/B-+*,- ; <,-C,0,.-.9 0-

*>+3,./5-*,6+ ./*,3,B- /3 *62> 3/ 3-4,3<-*/+ 2/D>5 0-3 +/*/3,.-./3 ./ 4>2- ./ ./*,3,>+/3

/*>+62,*-3 ./ 0>3 :3:-5,>3F![ 7A:,0,C5,> /+45/ C/+/<,*,> ; *>34>

$$F 70 /A:,0,C5,> /+45/ C/+/<,*,> ; *>34> /3 :+- ,28>54-+4/ 5/345,**,6+9 2?3 A:/ :+-

*-5-*4/5Q34,*- *:-0,4-4,B-F R>3 C/+/<,*,>3 ./5,B-.>3 ./ 0- ,+<>52-*,6+ ./C/+ /U*/./5 0>3

*>34>3 ./ 3:2,+,345-50-F W,+ /2C-5=>9 0- /B-0:-*,6+ ./ C/+/<,*,>3 ; *>34>3 /39

3:34-+*,-02/+4/9 :+ 85>*/3> ./ D:,*,>3 ./ B-0>5F 73 2?39 0>3 *>34>3 +> 3>+ 3>8>54-.>3

+/*/3-5,-2/+4/ 8>5 A:,/+/3 .,3<5:4-+ ./ 0>3 C/+/<,*,>3F R>3 C/+/<,*,>3 8:/./+ 3/5

.,3<5:4-.>3 8>5 :3:-5,>3 .,34,+4>3 ./ -A:)00>3 8-5- 0>3 A:/ 3/ 85/8-5- 0- ,+<>52-*,6+F M>5

/D/280>9 /0 3:2,+,345> ./ 2-;>5 ,+<>52-*,6+ - 0>3 85/34-2,34-3 8:/./ 5/.:*,5 0>3 *>34>3 ./0

85)34-2> 3>0,*,4-.> 8>5 0- /285/3-F M>5 /34-3 5-O>+/39 /3 .,<Q*,0 -80,*-5 :+- 85:/C- ./ *>34>E

C/+/<,*,> /+ *-.- *-3> /+ 8-54,*:0-5F N> >C34-+4/9 0>3 /0-C>5-.>5/3 ./ +>52-3 ./

*>+4-C,0,.-. /+ 8-54,*:0-59 -3Q *>2> 0>3 A:/ 85/8-5-+ 0>3 /34-.>3 <,+-+*,/5>3 ; 0>3 :3:-5,>3

/+ =/+/5-09 ./C/+ /34-5 *>+3*,/+4/3 ./ /34- 5/345,**,6+F

#[ 7A:,0,C5,> /+45/ *-5-*4/5Q34,*-3 *:-0,4-4,B-3

$%F 7+ 0- 85?*4,*-9 /3 - 2/+:.> +/*/3-5,> :+ /A:,0,C5,> > *>+45-8/3> /+45/ 0-3

*-5-*4/5Q34,*-3 *:-0,4-4,B-3F L/+/5-02/+4/9 /0 >CD/4> /3 *>+3/=:,5 :+ /A:,0,C5,> -85>8,-.>/+45/ 4-0/3 *-5-*4/5Q34,*-39 *>+ /0 <,+ ./ *:280,5 /0 >CD/4,B> ./ 0>3 /34-.>3 <,+-+*,/5>3F R-

,28>54-+*,- 5/0-4,B- ./ *-.- *-5-*4/5Q34,*- /+ *-.- *-3> 8-54,*:0-5 /3 :+- *:/34,6+ ./ D:,*,>

85></3,>+-0F

Page 22: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 22/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !!

3;3;[  "<6?&# L"&8 \ .=&:&#56%"@# =  6]4#678& 

$&F ^5/*:/+4/2/+4/ 3/ *>+3,./5- A:/ 0>3 /34-.>3 <,+-+*,/5>3 2:/345-+ 0- ,2-=/+ <,/0 ./9 >

85/3/+4-+ 5-O>+-C0/2/+4/9 0- 3,4:-*,6+ <,+-+*,/5-9 5/3:04-.>39 ; <0:D>3 ./ /</*4,B> ./ 0-

/285/3-F 1:+A:/ /34/ _-5*> K>+*/84:-0 +> 45-4- .,5/*4-2/+4/ 4-0/3 *>+*/84>39 0-

-80,*-*,6+ ./ 0-3 85,+*,8-0/3 *-5-*4/5Q34,*-3 *:-0,4-4,B-3 ; ./ 0-3 +>52-3 ./ *>+4-C,0,.-.

-85>8,-.-39 5/3:04-5? +>52-02/+4/9 /+ /34-.>3 <,+-+*,/5>3 A:/ 45-32,4-+ 0> A:/

=/+/5-02/+4/ 3/ /+4,/+./ *>2> :+- ,2-=/+ <,/09 > :+- 85/3/+4-*,6+ 5-O>+-C0/ ./ 4-0

,+<>52-*,6+F

3;A  &%>6%"@# %4#5678& 

K:-+.> 0- /285/3- =/+/5- :4,0,.-./3a

K:-+.> 0- /285/3- =/+/5- 8)5.,.-a

3;D  .=4%&:4 %4#5678& 

 1K(ZfeW g M1WZfe h K1MZ(1R h \(ZRZ`1`

 1K(ZfeW g M1WZfe h K1MZ(1R E M7d`Z`1

 1K(ZfeW g M1WZfeW h K1MZ(1R

J7KJeW 7KeNe_ZKeW 

ZN^ed_1KZeN

7W(1`eW ZN1NKZ7deWMdeK7We

`1(eW

J7KJeW 7KeNe_ZKeW 

Page 23: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 23/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !#

3;K  = &?":5=4 %4#5678& 

R-3 *:/+4-3 /34?+ <>52-.-3 8>5 .>3 8-54/39 8-5- 8/52,4,5 3:2-5 3/8-5-.-2/+4/ 0>3 -:2/+4>3 ;

.,32,+:*,>+/3 A:/ )34-3 /U8/5,2/+4-+F 734-3 8-54/3 3>+a

  `7S7

  J1S7d

`7S7  M#,8$/ ./ )+ 4'/-5+   J1S7d

`7SZ(eW e K1dLeW Kd7`Z(eW e 1SeNeW

 (e(1R `7SZ(eW e K1dLeW (e(1R Kd7`Z(eW e 1SeNeW

7</*4> ./ 0-3 -+>4-*,>+/3 /+ /0 ./C/ ; @-C/59 /+ 0>3 .,34,+4>3 4,8>3 ./ *:/+4-3a

WZ (e(1R `7SZ(eW i (e(1R Kd7`Z(eW  R1 K\7N(1 (Z7N7 W1R`e `7\`ed

WZ (e(1R `7SZ(eW j (e(1R Kd7`Z(eW  R1 K\7N(1 (Z7N7 W1R`e 1Kd77`ed

WZ (e(1R `7SZ(eW g (e(1R Kd7`Z(eW  R1 K\7N(1 7W(1 W1R`1`1 eS1R1NK71`1

Page 24: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 24/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !$

K\7N(1W `7 1K(Zfea 1R `7S7 1\_7N(1N

 1R J1S7d `ZW_ZN\k7N

K\7N(1W `7 M1WZfea 1R `7S7 `ZW_ZN\k7N

 1R J1S7d 1\_7N(1N

K\7N(1 `7 K1MZ(1Ra 1R `7S7 `ZW_ZN\k7

 1R J1S7d 1\_7N(1

K\7N(1W `7 M7d`Z`1Wa WZ7_Md7 1R `7S7

K\7N(1W `7 L1N1NKZ1Wa WZ7_Md7 1R J1S7d

3;Q  .=4%&:4 %4#5678& 

3;V   6 :"&#54: %4#5678&: 

73 /0 5/=,345> C?3,*> *5>+>06=,*> ./ 0-3 >8/5-*,>+/3 A:/ 3:*/./+ /+ 0- 7285/3-F 7+ *-.- -3,/+4>

360> 3/ -+>4-+ 0-3 *:/+4-3 -</*4-.-3 8>5 0- >8/5-*,6+F (>.>3 0>3 -3,/+4>3 3/ 00/B-+ /+ /0 RZSde `Z1dZeF

70 -3,/+4> /34? *>28:/34> 8>5a

^7KJ1 `7S7 J1S7d  

K\7N(1 `7 K1dLe   lll 

K\7N(1 `7 1SeNe

lll 

LReW1 7lMRZK1(Zf1

`7(1RR7

 

 1WZ7N(eW

KeN(1SR7W

K\7N(1W

`7R

_1ked

S1R1NK7 7

Ke_MdeS1KZmN

 k W1R`eWe8/5-*,>+/3

]J/*@>3

/*>+62,*>3[

734-.>3

^,+-+*,/5>3

Page 25: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 25/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !%

&B&<.84: $& 6:"&#54: &# &8 8"7=4 $"6="42

G[  70 ! ./ 2-;> 0>3 3>*,>3 ./ 0- /285/3- 45-+3<,/5/+ - )34-9 :+- *-0./5- B-0>5-.- /+ n !P 2,00>+/3F

^7KJ1 `7S7 J1S7d  

P!oP%oll  K1R`7d1   !PFPPPFPPPK\7N(1 eSRZL1`1 WeKZeW   !PFPPPFPPPLReW1K1R`7d1 (ZMe lkp`eK\_7N(e `7 (d1WM1We NY !G%

`7(1RR7

 

![  70 # ./ 2-;> 3/ -.A:,/5/+ 2-4/5,-3 85,2-3 8>5 n & 2,00>+/3 8-=-+.> :+ 4/5*,> -0 *>+4-.>9 ; /0 5/34>

*>+ .>3 0/45-3 ,=:-0/3 - #P ; &P .Q-3 ./ 80-O>F

^7KJ1 `7S7 J1S7d  P#oP%oll _1(7dZ1W MdZ_1W &FPPPFPPPMdef77`ed7W &FPPPFPPP

Mdef77`ed7W &FPPPFPPPK1q1 !FPPPFPPPRUM #P !FPPPFPPPRUM &P !FPPPFPPP

LReW1^1K(\d1 WdWF MdeMZe WF1FNY&HcP

7Ld7We `7 K1q1 NY cPcGR7(d1W Med M1L1d NY GHI k GHc

`7(1RR7

 

#[  70 $ ./ 2-;> 3/ 3-*-+ ./ 0- C>./=- ./ 2-4/5,-3 85,2-39 B-0>5,O-.>3 /+ n !P 2,00>+/39 8-5-

45-38-3-50>3 - 0-3 80-+4-3 ./ 85>*/3>3F

^7KJ1 `7S7 J1S7d  P$oP%oll Mde`\K(eW 7N MdeK7We !PFPPPFPPP

_1(7dZ1 MdZ_1 !PFPPPFPPPLReW1

ed`7N `7 W1RZ`1 `7 Se`7L1W NY !%&G

`7(1RR7

 

Page 26: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 26/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !&

$[  70 % ./ 2-;> 3/ 45-38-3-+ - 0- C>./=- ./ 85>.:*4>3 4/52,+-.>3 #PP .>*/+-3 ./ 85>.:*4>3 A:/

/34-C-+ /+ 85>*/3>9 B-0>5,O-.>3 /+ n!% 2,0 0- .>*/+-F

^7KJ1 `7S7 J1S7d  P%oP%oll Mde`\K(eW (7d_ZN1`eW IF%PPFPPP

Mde`\K(eW 7NMdeK7We IF%PPFPPP

LReW1K7d(Z^ZK1`e `7 d7K7MKZmN k KeN(deR `7 K1RZ`1` NY PHc&#

`7(1RR7

 

%[  70 & ./ 2-;> 3/ B/+./+ GPP .>*/+-3 ./ 85>.:*4>3 4/52,+-.>3 /+ n $P 2,0 0- .>*/+-9 3/ *-+*/0-

0- 2,4-. -0 *>+4-.> ; 8>5 /0 5/34> 3/ <,52- :+- 0/45- - #P .Q-3F

^7KJ1 `7S7 J1S7d  P&oP%oll  KRZ7N(7W   $FPPPFPPP

 f7N(1W   $FPPPFPPPKeW(e Mde`F f7N`Z`eW !F%PPFPPP

Mde`\K(eW (7d_ZN1`eW !F%PPFPPP

K1q1 !FPPPFPPP

RUK #P !FPPPFPPPKRZ7N(7W $FPPPFPPP

LReW1^1K(\d1 `7 f7N(1W NY cHI!W1RZ`1 `7 Se`7L1 NY %HPGR7(d1 Med KeSd1d NY c#G%

`7(1RR7

 

3;Y  %>&#56: $&8 < 6Z4=  

K>55/38>+./ - 0- -=5:8-*,6+ ./ 0-3 >8/5-*,>+/3 ./ :+- /285/3-9 3/=2/+4-.-3 8>5 *-4/=>5Q- ./5/*:53>3 > ./ >C0,=-*,>+/3 /+ *:/+4-3 ,+./8/+.,/+4/3F W/ 00/B-+ /+ /0 0,C5> 2-;>5 /U45-;/+.> 0>3 .-4>3

*>+4/+,.>3 /+ /0 0,C5> .,-5,>F

R- <:+*,6+ ./ /34/ 5/=,345> /3 0- ./ *0-3,<,*-5 ; -=5:8-5 0-3 >8/5-*,>+/3 5/-0,O-.-3 2/.,-+4/ /0 :3> ./0-3 *:/+4-3F

Page 27: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 27/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !I

G 1*4,B>3 ,D>3 `/85/*,-*,6+ E`/85/*,-*,>+ 1*:2:0-.-

! 1*4,B>3 Z+4-+=,C0/3 12>54,O-*,6+ E 1*4,B> Z+4-+=,C0/

# K0,/+4/ `/:.-3 Z+*>C5-C0/3 E734,2-*,>+ `/:.-3 ,+*>C5-C0/3

$ L-34>3 1+4,*,8-.>3 L-34> EL-34> 1+4,*,8-.>

% M5>B ,3,>+/3 Z28:/34> - 0- d/+4- EM5>B,3,6+ Z28:/34> - 0- d/+4-

& Z+=5/3>3 1+4,*,8-.>3 Z+=5/3>3 1+4,*,8-.>3 E

Z+=5/3>3

I L-34>3 1*:2:0-.>3 L-34>3 EL-34>3 1*:2:0-.>3

 6)+(-*E).1/*+H1)

3;[  7 686#%& $& %4<.=476%"@# Z : 68$4: 

K>+3,34/ /+ :+ 5/3:2/+ ./ 4>.-3 0-3 *:/+4-3 ./0 RZSde _1ked9 *>+ 3:3 5/38/*4,B>3 .)C,4>39

*5).,4>3 ; 3-0.>3F

3;^ 

.="#%".68&: 6B>:5&: _>& $&7&# &L&%5>6=:& 68 L"#68 $& ># .&="4$4 %4#5678&

 

3;^;3   6 :"&#54 $& %"&==& $& %>&#56: $& =&:>856$4 

W/ /</*4b- -0 <,+-0 ./0 8/5Q>.> *>+4-C0/F

 (,/+/ .>3 /</*4>3a

  K,/55- 4>.-3 0-3 *:/+4-3 ./ 5/3:04-.>39 8-5- A:/ -3Q /28,/*/+ /+ */5> /0 856U,2> 8/5Q>.> *>+4-C0/F

  L/+/5- 0- *:/+4- ':4,0,.-. ./0 /D/5*,*,>' > '8)5.,.- ./0 /D/5*,*,>'9 *:/+4- ./ 8-45,2>+,> A:/ 5/85/3/+4-

/0 -:2/+4> ]> .,32,+:*,6+[ /+ 0- 8-54,*,8-*,6+ ./ 0>3 .:/V>39 8>5 0>3 5/3:04-.>3 ./0 8/5Q>.> *>+4-C0/F

Page 28: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 28/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !c

3;3`  &:56$4: L"#6#%"&=4: 

3;3`;3  7 686#%& ?&#&=68 

73 :+ /34-.> A:/ 2:/345- 0- 3,4:-*,6+ /*>+62,*-E<,+-+*,/5- ./ 0- /285/3- /+ :+ 2>2/+4> .-.>F

 6G*+0E) .1)+0E)

 1*4,B>3 K>55,/+4/3 M-3,B>3 K>55,/+4/3

 1*4,B>3 N> K>55,/+4/3

M-3,B>3 N> K>55,/+4/3

M-45,2>+,>

3;3`;A  "#L4=<6%"@# _>& &#5=&?6 &8 7 686#%& ?&#&=68 

 1F  W>C5/ 0- R,A:,./O

SF  W>C5/ 0- 7<,*,/+*,-

KF  W>C5/ /0 7+./:.-2,/+4>

`F  W>C5/ 0- d/+4-C,0,.-.

7F  e45-3F

Page 29: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 29/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !H

3;33  &:56$4 $& = &:>856$4: 4 &:56$4 $& .a=$"$6: Z ? 6#6#%"6: 

73 :+ /34-.> /*>+62,*> A:/ 5/B/0- /0 5/3:04-.> ./ 0- =/34,6+ /*>+62,*- ; *62> 3/ =/+/5- 0-

:4,0,.-. > 8)5.,.- ./ 0- /285/3- /+ :+ ./4/52,+-.> 8/5Q>.> ./ 4,/28>F

3;33;3  &:_>&<6 7 9:"%4 $& ># &:56$4 $& = &:>856$4: 

"#?=&:4: .4= C&#56:

_/+>3a K>34> ./ f/+4-3

>*+O+H1H 7/'*1

_/+>3a L-34>3 ./ 1.2,+,345-*,6+ ;o> L-34>3 L/+/5-0/3

_/+>3a L-34>3 ./ f/+4-3

>*+O+H1H 4T(/1G+E-1O

_?3 > _/+>3a d/3:04-.>3 +> e8/5-*,>+-0/3

>*+O+H1H 1-*() "JT'()*E)

_/+>3a Z28:/34>3

>5"8"$6$ $&:.>&: $& "<.>&:54:

3;33;3;3  "#L4=<6%"@# _>& &#5=&?6 &8 &:56$4 $& =&:>856$4: 

 1F  K>28>3,*,6+ ./ 0>3 L-34>3F

SF  K>28>54-2,/+4> ./ 0>3 L-34>3F

KF  ^:/+4/3 ,+4/5+-3 ./ <>+.>3 A:/ =/+/5- :+- /285/3-F

`F  e45-3F

Page 30: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 30/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) #P

A  "<.>&:54 68 C  684= 6 ?=&?6$4 b";C;6R

U/1')+.# ?#$ /) <EVE MW XYZ@ ?'8)26+.# /) [ ./ .262/,8$/ ./ \]^_@ : *'* ?#*5/$2#$/* ,#.2926+62#-/*E

A;3  .="#%".68&: c&%c4: ?=6C6$4: 

 1[ R-3 B/+4-3 ./ C,/+/3 *>58>5-0/3 2:/C0/3F

S[ R-3 85/34-*,>+/3 ./ 3/5B,*,>3F

K[ R-3 ,28>54-*,>+/3

A;A  :>B&54: _>& %47=6# &8 "<.>&:54 6 #4<7=& $&8 L":%4 

 1[ R>3 B/+./.>5/3 ./ C,/+/3F

S[ R>3 85/34-.>5/3 ./ 3/5B,*,>3F

K[ R>3 ,28>54-.>5/3F

A;D  7 6:& "<.4#"78&2

 1[ 70 B-0>5 ./ 0- B/+4- > ./ 0- 85/34-*,6+ ./0 3/5B,*,>F

S[ 70 2>+4> ./ 0>3 5/-D:34/39 ,+4/5/3/3 ; =-34>3 ./ <,+-+*,-2,/+4> ./ 0-3 >8/5-*,>+/3 - 80-O>F

K[ 70 B-0>5 ./ 0>3 /+B-3/3 > 0>3 ./863,4>3 A:/ 8>5 /00>3 3/ @-=-+F

`[ e45>3 ,28:/34>39 8>5 /D/280>a R>3 -5-+*/0/3F

A;K  .="#%".68&: &d&#%"4#&: 

 1[ R-3 /38/*,/3 A:/ 3/ /+45/=-+ - 0>3 45-C-D-.>5/3 ./ 0-3 /285/3-3 *>2> 5/=-0Q-3 ; A:/ +> 3>+ ./ 3: =,5>FS[ 70 3:2,+,345> ./ C/C,.-3 -+-0*>@60,*-3 -0 8/53>+-0 ./ 0-3 /285/3-39 .:5-+4/ 0- D>5+-.- ./ 45-C-D>F

K[ R>3 8/+3,>+-.>3 *:;- <,+-0,.-. /U*0:3,B- 3/- /0 @>38/.-D/ ; *>2,.- 8-5- -0:2+>3 :+,B/53,4-5,>3F

`[ R-3 2-4/5,-3 85,2-3 +-*,>+-0/3 A:/ 3/ ./34,+-+ - 0- 85>.:**,6+ ./ C,/+/3 8-5- 0- /U8>54-*,6+F

7[ R-3 ,28>54-*,>+/3 ./ C,/+/3 C)0,*>3 /</*4:-.-3 8>5 /0 2,+,34/5,> ./ ./</+3- ; 3:3 ,+34,4:*,>+/3F

^[ R-3 ,28>54-*,>+/3 8-5- 5/85/3/+4-*,>+/3 .,80>2?4,*-3F

L[ R-3 ,28>54-*,>+/3 2/+>5/39 +> -</*4-3 - ./5/*@>3 -.:-+/5>39 /</*4:-.-3 8>5 8-3-D/5>3F

A;Q 

5 6:6 $&8

"<.>&:54

  1 8-54,5 ./0 G ./ e*4:C5/ ./ !PP# /34- 4-3- ./ ,28:/34> /3 ./0 GH r ./ 0- C-3/3 ,28>+,C0/F

Page 31: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 31/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) #G

A;V  <&%6#":<4 $&8 "<.>&:54 

K-.- B/O A:/ :+- /285/3- *>285- C,/+/3 *>58>5-0/3 2:/C0/39 > 5/*,C/ :+ 3/5B,*,>9 ./C/ 8-=-59

4-+4> /0 B-0>5 ./ 0> -.A:,5,.>9 *>2> /0 GH r *>55/38>+.,/+4/ -0 Zf19 /34/ 2>+4> A:/ *-+*/0- 0- /285/3-

3/ ./+>2,+-a %/eH+*E I+)G1OF 

M-5- 0- /285/3- *>285-.>5- *>+34,4:;/ :+ -*4,B>9 .-.> A:/ /3 :+ ./5/*@> A:/ @- -.A:,5,.>F

K:-+.> 0- /285/3- B/+./ 0>3 85>.:*4>39 > 85>8>5*,>+- 0>3 3/5B,*,>39 ./C/ 5/*-5=-5 0- C-3/ ,28>+,C0/ ./0

85>.:*4> > 3/5B,*,> /+ :+ GH r9 8>5 *>+*/84> ./ Zf19 /0 A:/ 3/ ./+>2,+-a $eX+*E I+)G1OF 

M-5- 0- /285/3- B/+./.>5- *>+34,4:;/ :+ 8-3,B>9 .-.> A:/ 3/ @- *>C5-.> - +>2C5/ ./0 <,3*>9 3/

4,/+/ :+- >C0,=-*,6+ *>+ )0F

K>2> 0-3 /285/3-3 3>+ 360> *>C5-.>5-3 - +>2C5/ ./0 <,3*>9 ./C/+ 5/+.,50/ *:/+4-39 8-5- /3> 3/

*>+</**,>+- *-.- 2/3 :+- ./*0-5-*,6+ ./0 Zf19 /+ /0 A:/ *>+34- 4>.> 0> A:/ 0- /285/3- *>C56 ].)C,4><,3*-0[9 ; 4>.> 0> A:/ 0- /285/3- 8-=6 ]*5).,4> <,3*-0[F

Ws 7R `tSZ(e ^ZWK1R !  7R Kdt`Z(e ^ZWK1R

]KeSd1`e[ ]M1L1`e[

R- /285/3- ./C/ /+4/5-5 0- .,</5/+*,- /+ -5*-3 <,3*-0/39 D:+4> *>+ 0- ./*0-5-*,6+9 ./+45> ./ 0>3 .>*/85,2/5>3 .Q-3 ./0 2/3 3,=:,/+4/F

R- /285/3- 4,/+/ :+ 3-0.> - <-B>59 A:/ *>+34,4:;/ :+ -*4,B>9 /0 A:/ 3/ /U85/3- /+ \F(F_F ; 3/=:-5.- 8-5- /0 856U,2> 2/3F

 (>.-3 0-3 *>285-3 A:/ @-*/+ 0-3 /285/3-3 ./C/+ 3/5 *>+ <-*4:5-9 8-5- 4/+/5 ./5/*@> - *5).,4>

<,3*-0F

W 7R ` SZ(e ZWK1R "  7R Kd `Z(e ZWK1R

]KeSd1`e[ ]M1L1`e[

Page 32: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 32/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) #!

A;V;3  &# 86: L 6%5>=6: :& &:.&%"L"%6  

  70 d\( ./0 A:/ *>285- ; ./0 A:/ B/+./F

  70 B-0>5 +/4> ./ 0- 45-+3-**,6+F

  70 2>+4> ./0 Zf1F

  70 B-0>5 C5:4> g B-0>5 +/4> 2?3 Zf1F

  R- .,5/**,6+ ./0 A:/ *>285- ; ./0 A:/ B/+./F

  70 =,5> ./ -2C>3F

  R-3 <-*4:5-3 3>+ +:2/5-.-3 /+ <>52- *>55/0-4,B- 8>5 /0 WFZFZGF

81) GEJT/1) f'( )( U1S1- GE- XEO(*1 -E H1- H(/(GUE 1 G/eH+*E I+)G1O; 

 (>.-3 0-3 B/+4-3 A:/ 3/ @-=-+9 4-+4> *>+ <-*4:5-9 *>2> *>+ C>0/4- 3, =/+/5-+ .)C,4> <,3*-0F

A;Y  = &?":5=4 $& 86 "#L4=<6%"@# =&L&=&#5& 68 "C6

 1[ \+- /285/3- B/+./ 2/5*-./5Q- 8>5 n GPPFPPP9 *:;> *>34> /3 ./ n &PFPPP9 -./2?3 85>8>5*,>+-

:+ <0/4/ 8>5 n GPFPPP 8-5- /+45/=-5 0>3 85>.:*4>39 3/ 8-=- 0- 2/5*-./5Q- - #P .Q-3 ; /0 <0/4/ -0 *>+4-.>F

`7S7 J1S7d KRZ7N(7W   GPPFPPP

 f7N(1W   GPPFPPPKeW(e 7 f7N(1 &PFPPP

_7dK1`7dZ1W &PFPPPKRZ7N(7W GPFPPP

^R7(7 GPFPPPKRZ7N(7W !PFHPP

Zf1E ^ !PFHPP

K1q1 GGFHPPKRZ7N(7W GGFHPP

`7(1RR7

 

G f/5 1+/U> # ; $

Page 33: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 33/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) ##

S[  \+- /285/3- *>285- 2/5*-./5Q-3 8>5 n cPFPPP9 8-=- :+ <0/4/ ./ n GPFPPP ; :+ 3/=:5> 8>5 /0

45-30-.>9 ./ n %FPPP9 0- 2/5*-./5Q- 3/ 8-=-5? - #P .Q-3 ; 0>3 3/5B,*,>3 -0 *>+4-.>F

`7S7 J1S7d _7dK1`7dZ1W   cPFPPPMdef77`ed7W   cPFPPP

^R7(7 GPFPPPMdef77`ed7W GPFPPP

W7L\de %FPPPMdef77`ed7W %FPPP

Zf1E K^ GcFP%PMdef77`ed7W GcFP%P

Mdef77`ed7W GIFc%P

K1q1 GIFc%P

`7(1RR7

 

A;[  8"_>"$6%"@# $&8 "C6

Zf1E`^ Zf1EK^

!P9HPP Gc9P%P

`7S7 J1S7d Zf1E `^   GcFP%P

Zf1E K^   GcFP%PZf1E `^ !Fc%P

K1q1 !Fc%P

`7(1RR7

 

Page 34: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 34/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) #$

D  "#5&=&:&: Z $&:%>&#54: 

D;3  "#5&=a: 

73 /0 8-=> 8>5 /0 :3> ./ :+ ./4/52,+-.> 2>+4> ./ *-8,4-0 8>5 :+,.-. ./ 4,/28>F

D;3;3  % 98%>84 $& "#5&=&:&: 

J-; .>3 4,8>3 ./ ,+4/5)3 ./8/+.,/+.> ./ 3, 3>+ > +> *-8,4-0,O-C0/ 0>3 ,+4/5/3/3a

D;3;3;3  :"<.8& 

73 /0 ,+4/5)3 A:/ 3/ *-0*:0- 3>C5/ /0 *-8,4-0 ,+,*,-0 3,+ *>+3,./5-5 0>3 ,+4/5/3/3 =-+-.>3 /+ 0>3 8/5Q>.>3

-+4/5,>5/3F

`>+./a

Z g Z+4/5)3

K g K-8,4-0

, g 4-3- ./ ,+4/5)3

+ g 8/5Q>.> ./ 4,/28>

_>+4> <,+-0 3,280/a ]K-8,4-0 h Z+4/5/3/3[

M = C (1 + in)

I = C x i x n

Page 35: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 35/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) #%

D;3;3;A  %4<.>&:54 

73 /0 ,+4/5)3 A:/ 3/ *-0*:0- 3>C5/ /0 *-8,4-0 ,+,*,-0 2?3 0>3 ,+4/5/3/3 8/5*,C,.>3 /+ 0>3 8/5Q>.>3

-+4/5,>5/39 /3 ./*,59 /0 *-8,4-0 ,+,*,-0 3:<5/ *-8,4-0,O-*,>+/3 ; 0>3 ,+4/5/3/3 >C4/+,.>39 3/ -=5/=-+ -0 *-8,4-0

,+,*,-0 =-+-+.> 8>5 *>+3,=:,/+4/ +:/B>3 ,+4/5/3/3F

R- 2-+/5- ./ >C4/+/5 /34/ ,+4/5)3 /3 8>5 .,</5/+*,- /+45/ /0 2>+4> <,+-0 *>28:/34> ; /0 *-8,4-0 ,+,*,-0F

_>+4> <,+-0 *>28:/34>a

D;3;A  <4$68"$6$&: $& .6?4 $& 84: "#5&=&:&: 

7U,34/+ .>3 <>52-3 ./ 8-=> ./ 0>3 ,+4/5/3/3a

  ^>52- 1+4,*,8-.-

  ^>52- f/+*,.-

]K:-+.> 3/ @-C0- ./ 4-3- ./ ,+4/5)39 3,/285/ 3/ /U85/3- 8>5 8/5Q>.> B/+*,.>X 0:/=> /0 *>C5> ./ ,+4/5)3

-+4,*,8-.> /3 :+- 2>.-0,.-. /U45->5.,+-5,- A:/ ./C/ 3/5 /38/*,<,*-.- -0 >4>5=-5 /0 *5).,4>[F

D;3;A;3  "#5&=a: 6#5"%".6$4

`>+./ , g ,+4/5)3 B/+*,.-

7D/280>a

 

M = C (1 + i)n 

ta = i

1 + i 

Page 36: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 36/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) #&

D;3;A;A  "#5&=a: C&#%"$4

7D/280>a  

 

D;3;D  5".4: $& "#5&=a: 

 10 8-*4-53/ :+- >8/5-*,6+ *>2/5*,-0 /+45/ 0>3 B-5,>3 /0/2/+4>3 A:/ 3/ /34,8:0-+ <,=:5- /0 80-O> ./

8-=>F 1 :+ 80-O> ./ 8-=> *>54> 3,/285/ *>55/38>+./5? :+ 85/*,> 2?3 C-D> A:/ /0 2,32> 85>.:*4>

 B/+.,.> - :+ 80-O> 2-;>5F 734> ./C,.> - A:/ -0 *>+*/./53/ :+ 2-;>5 80-O>9 /+ /0 2-;>5 85/*,> B-

,+*0:,.> /0 *>34> ./0 .,+/5> ],+4/5)3[ A:/ 3/ 5/*,C,5? 2?3 4-5./F

`/+45> ./ 0>3 4,8>3 ./ ,+4/5)3 A:/ 3/ ,./+4,<,*-+ /+ 0-3 >8/5-*,>+/3 *>2/5*,-0/3 /+*>+45-2>3a

D;3;D;3  "#5&=a: .&=%"7"$4

 1:2/+4>3 /+ /0 B-0>5 ./ 0-3 <-*4:5-3 > C>0/4-3 *:-+.> /0 *0,/+4/ +> 0-3 *-+*/0- /+ /0 80-O> *>+B/+,.>

> 8>5 /0 B-0>5 ./0 *5).,4>F W>+ =-+-+*,-3 8-5- 0- 7285/3-F

7D/280>a ,[ f/+4- ]*>+ ^-*4:5-[ %PFPPP *>34> #Pr

K5).,4> W,280/ #P .Q-3

Z+4/5)3 %r ]B/+*,.>[

  −  

   

tv = 10% 

Page 37: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 37/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) #I

`7S7 J1S7d KRZ7N(7W   %HFPPP

 f7N(1W   %PFPPPZf1E ^ HFPPP

KeW(e 7 f7N(1 G%FPPP

_7dK1`7dZ1W G%FPPPKRZ7N(7W !FH%P

ZN(7d7W7W !F%PPZf1E $%P

`7(1RR7

 

,,[ f/+4- ./ nGPPFPPPFE ]<-*4:5-[

K>34> n IPFPPPFE

! R/45-3 - #P ; &P .Q-3F

!r ,+4/5)3 2/+3:-0 *>28:/34>

`7S7 J1S7d KRZ7N(7W   GGcFPPP

 f7N(1W   GPPFPPP

Zf1E ^ GcFPPPKeW(e 7 f7N(1 IPFPPP

_7dK1`7dZ1W IPFPPPR U K #P &PFGcP

KRZ7N(7W %HFPPPZN(7d7W GFPPPZf1E GcP

R U K &P &GF#c#

KRZ7N(7W %HFPPP

ZN(7d7W !FP!Puu

Zf1E #&#

`7(1RR7

 

u PFP! U n%PFPP g nGFPPP

uu ]GhPFP![ v! g G9P$P$

P9P$P$ U n %PFPPP g n!FP!P

“TODOS LOS INTERESES ESTAN AFECTOS AL I.V.A, A

MEDIDA QUE EL MONTO DE DICHOS INTERESES SEAEXIGIBLE 

Page 38: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 38/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) #c

D;3;D;A  "#5&=a: .6?6$4 

 1:2/+4>3 /+ /0 B-0>5 ./ 0-3 <-*4:5-3 0/45-3 > *5).,4>3 >4>5=-.>3 8>5 0>3 85>B//.>5/3F W>+ :+

=-34> 8-5- 0- 7285/3-F

7D/280>a ,[ K>285- ./ 2/5*-./5Q-3 nIPFPPPFE

K>+ R/45- - #P .Q-3F

Z+4/5)3 %r ]B/+*,.>[

`7S7 J1S7d _7dK1`7dZ1W   IPFPPPZf1E K^ G!F&PP

Mdef77`ed7W   c!F&PPFZN(7d7W7W #F%PPZf1E K^ &#P

Mdef77`ed7W $FG#P

`7(1RR7

 

,,[ K>285-3 ./ 2/5*-./5Q-3 nG&PFPPPFE

! R/45-3 - #P ; &P .Q-3

%r ./ ,+4/5)3 -+4,*,8-.>F

`7S7 J1S7d _7dK1`7dZ1   G&PFPPPZf1E K^ #PF$PP

Mdef77`ed7W   GHPF$PPMdef77`ed7W H%F!PPZN(7d7W7W #FcPc uuuZf1E K^ I!#

R l M #P HHFI#GMdef77`ed7W H%F!PPZN(7d7W7W IFIHI uuuZf1E K^ GF$cG

R l M &P GP$F$Ic

`7(1RR7

 

]u 

]uuu[ 4-g , g P9P% g P9P$I& 2/+3:-0G h , G9P%

P9P$I& x cPFPPP g n #FcPcFEPFPHI$I x cPFPPP g n IFIHIFE

Page 39: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 39/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) #H

D;A  $&:%>&#54: 

D;A;3  $&:%>&#54: %4#%&$"$4: 

W>+ 0-3 3:2-3 A:/ 3/ 5/C-D-+ ./ 0-3 <-*4:5-3 > C>0/4-3 /U4/+.,.-3 - 0>3 *0,/+4/3F

R- <,+-0,.-. ./ *>+*/./5 /34>3 ./3*:/+4>39 /3 0- ./ 85>2>B/5 B/+4-3 > -3/=:5-5 0- *-+*/0-*,6+ ./ 0-3 B/+4-3 /+ 80-O>3 2?3 C5/B/39 0> A:/ - 3: B/O 8/52,4/ - 0- 7285/3- *>+4-5 *>+ 2-;>5 5-8,./O *>+ 0>3

<>+.>3F

J-; .>3 4,8>3 ./ ./3*:/+4>3a

D;A;3;3  $&:%>&#54: %4<&=%"68&: W>+ -A:/00>3 A:/ :4,0,O-+ 0-3 7285/3-3 8-5- ,+4/5/3-5 - 0>3 *0,/+4/3 ; *>0>*-5 3:3 -54Q*:0>3 /+ /0

2/5*-.>F 734- *0-3/ ./ ./3*:/+4> B- *>+3,./5-.> /+ 0- <-*4:5-9 8>5 4-+4>9 /0 2>+4> A:/.- 5/C-D-.> ;

.,32,+:;/ /0 ZFfF1F

7D/280>a 2.000 ―u‖ a $200 g n$PPFPPPFE

_/+>3 GPr ./3*:/+4> g $PFPPPFE

n#&PFPPPFE

`7S7 J1S7d KRZ7N(7W   $!$FcPP

 f7N(1W   #&PFPPPZf1E ^ &$FcPP

KeW(e 7 f7N(1 !PPFPPP_7dK1`7dZ1W !PPFPPP

K1q1 $!$FcPPKRZ7N(7W $!$FcPP

`7(1RR7

 

Page 40: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 40/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) $P

D;A;3;A  $&:%>&#54: $& % 6B6  

W>+ -A:/00>3 A:/ 3/ *>+*/./+ -0 2>2/+4> ./ 8-=-5 0- <-*4:5- 8>5 /0 85>+4> 8-=> ./ /00-F 734/

./3*:/+4> +> -8-5/*/ /+ 0- <-*4:5-9 360> 0-3 *>+.,*,>+/3 ./ )0F

7D/280>a $%&$%'( )&*%F

K>+ /0 2,32> /D/280> -+4/5,>5a

`7S7 J1S7d KRZ7N(7W   $I!FPPP

 f7N(1W   $PPFPPPZf1E ^ I!FPPP

KeW(e 7 f7N(1 !PPFPPP_7dK1`7dZ1W !PPFPPP

`7(1RR7

 

 10 2>2/+4> ./0 8-=> 3/ @-*/ :+ ./3*:/+4> ./0 GPr 8>5 85>+4> 8-=>F

`7S7 J1S7d K1q1 $!$FcPP`7WK\7N(e KeNK7`Z`eW $PFPPPZf1E `^ IF!PP

KRZ7N(7W $I!FPPP

`7(1RR7

 

.E/ (O H()G'(-*EN )( (J+*( #E*1 H( %/eH+*E

D;A;A  $&:%>&#54: 475&#"$4:2

W>+ 5/C-D-3 A:/ /</*4b-+ 0>3 85>B//.>5/3 8-5- 85>2>B/5 3:3 B/+4-3 > 8>5 85>+4> 8-=>F

D;A;A;3  $&:%>&#54 %4<&=%"68 

734? *>+3,./5-.> /+ 0- <-*4:5-9 ,280,*- 8-=-5 2/+>3 ,28:/34>3F R- *>285- ./C/ 5/=,345-53/ 8>5 /0

2>+4> 5/C-D-.>F

Page 41: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 41/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) $G

7D/280>a W/ *>285-+ 2/5*-./5Q-3 *>+ :+ ./3*:/+4> *>2/5*,-0 ./ :+ GPrF 70 4>4-0 ./ 0- *>285- /3

nGPPFPPPFE

`7S7 J1S7d _7dK1`7dZ1W   HPFPPPZf1E K^ G&F!PP

Mdef77`ed7W   GP&F!PPMdef77`ed7W GP&F!PP

K1q1 GP&F!PP

`7(1RR7

 

D;A;A;A  $&:%>&#54 $& % 6B6  734/ ./3*:/+4> +> /34? *>+3,./5-.> /+ 0- <-*4:5-9 0:/=> 0- *>285- 3/ 5/=,345- 8>5 3: B/5.-./5> B-0>5F

K>+ /0 2,32> /D/280> -+4/5,>5a

`7S7 J1S7d _7dK1`7dZ1W   GPPFPPPZf1E K^ GcFPPP

Mdef77`ed7W   GGcFPPP

`7(1RR7

 

 10 2>2/+4> ./ *-+*/0-5 0- <-*4:5-9 3/ *>+*/./ :+ ./3*:/+4> ./0 GPr9 8>5 85>+4> 8-=>F

`7S7 J1S7d Mdef77`ed7W   GGcFPPP

K1q1   GP&F!PP`7WK\7N(e GPFPPPZf1E K^ GFcPP

`7(1RR7

 

M>5 /0 ./3*:/+4> 3/ /2,4/ N>4- ./ K5).,4>

―QUIEN OTORGA DESCUENTO, DEBERA EXTENDER NOTA DE CREDITO‖.  

Page 42: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 42/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) $!

K  5=656<"&#54 $& 86: &d":5&#%"6: 

R-3 /U,34/+*,-3 3>+ :+- ./ 0-3 8-54,.-3 2?3 5/0/B-+4/3 ./0 1*4,B> K,5*:0-+4/ ./ :+- /285/3-F W>+ 0>3

C,/+/3 4-+=,C0/3 A:/ 85>.:*/+ ,+=5/3>3 ; 8>5 2/.,> ./ /00>3 0-3 :4,0,.-./3F

734- /38/*,-0 ,28>54-+*,- A:/ 5/B,34/+9 @-*/ A:/ 3: 45-4-2,/+4> *>+4-C0/ 3/- ./ 3:2> ,+4/5)3 ; 3:

>CD/4,B> <:+.-2/+4-0 /3a

―La correcta determinación de las utilidades a través de un adecuado enfrentamiento entre costos e

ingresos.‖

K;3  5".4: $& &d":5&#%"6: 

7+ :+- /285/3- *>2/5*,-0 0-3 /U,34/+*,-3 3>+ 4>.>3 -A:/00>3 C,/+/3 A:/ 3/ 4,/+/+ 8-5- 0- B/+4- /+

:+ /D/5*,*,> *>2/5*,-09 0>3 *:-0/3 3/ 45-+3<>52-+ /+ .,+/5> ./+45> ./ :+ ./4/52,+-.> 80-O> ./ 4,/28>9 /3./*,59 3>+ -A:/00>3 C,/+/3 A:/ 4,/+/+ 5>4-*,6+ /</*4,B-F

N> 3/ ./C/+ ,+*>58>5-5 /+ /34/ Q4/2 0>3 5/8:/34>3 > 3,2,0-5/3 0>39 A:/ ./C/+ 3/5 *0-3,<,*-.>3 *>2>

 1*4,B> <,D> > C,/+ ―Otros Circulantes‖. 

7+ 0-3 /285/3-3 2-+:<-*4:5/5-3 /U,34/+ 45/3 4,8>3 ./ /U,34/+*,-3a 2-4/5,-3 85,2-39 85>.:*4>3 /+

85>*/3> ; 85>.:*4>3 4/52,+-.>39 0>3 *:-0/3 3/ /+*:/+45-+ B-0>5,O-.>3 3/=b+ 3/- /0 W,34/2- ./ K>34/> A:/

0- /285/3- :4,0,*/F ]K>34/> 8>5 1C3>5*,6+ > K>34/> ,5/*4>[F

K;A  %"%84 $& C &#56: &# >#6 &<.=&:6  

K0,/+4/   H,25/ #$./- ./ ?/.2.# # 6#,?$+ F

`/8-54-2/+4> ./

K>+4-C,0,.-. `/84>F `/ f/+4-3 U/628/ T$./- ./ 4#,?$+ F

N>4-3 `)C,4>

N>4-3 K5).,4> S>./=- </*?+6=+ I/$6+./$3+@ R'3+ ./ </*?+6=#F

`/84>F `/ f/+4-3 S+65'$+ +) 6)2/-5/ F

 (/3>5/5Q- 4#8$+ S+65'$+ F

Page 43: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 43/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) $#

K;A;3  4=$&# $& %4<.=6 > 4=$&# $& .&$"$4

70 *0,/+4/ 3>0,*,4- 0-3 2/5*-./5Q-3 -0 `/8-54-2/+4> ./ f/+4-39 - 45-B)3 ./ :+- e5./+ ./ K>285-F R-

/285/3- B/+./.>5- /2,4/ ―e5./+ ./ M/.,.>‖, la cual contiene: cantidad requerida, calidad, fecha de

/+45/=-9 *>+.,*,>+/3 ./ 8-=>9 +>2C5/ ./0 A:/ 8,.,6 ; ./0 A:/ 5/*,C,6 0- >5./+ ./ *>285-F

K;A;A  ?>W6 $& $&:.6%c4A 

R- C>./=- 5/*,C/ :+- *>8,- ./ 0- e5./+ ./ K>285- ; ./38-*@- 0>3 85>.:*4>39 00/+-+.> 0- L:Q- ./

`/38-*@> ; @-*,/+.> 0-3 -+>4-*,>+/3 /+ 0-3 4-5D/4-3 ./ /U,34/+*,-3F

K;A;D  L 6%5>=6 D 

73 /0 .>*:2/+4> 0/=-0 A:/ 5/=,345- 0- B/+4- 5/-0,O-.- ; A:/ 3,5B/ 8-5- 0- *>+4-C,0,O-*,6+F R- /2,4/ /0

`/8-54-2/+4> ./ f/+4-39 *>+ .-4>3 ./ *-+4,.-.9 85/*,> :+,4-5,>9 85/*,> 4>4-09 +>2C5/ ./0 *0,/+4/9,+.,*-*,>+/3 ./ 8-=> ; ./3*:/+4>3F

K;A;K  #456 $& $a7"54K 

e +>4- ./ *-5=> /3 :+ .>*:2/+4> /2,4,.> 8>5 K>+4-C,0,.-.9 8-5- *>C5-5 -0=:+- 8-54,.- >2,4,.- /+ 0-

<-*4:5-9 -0=b+ =-34> +> *>+3,./5-.> /+ 0- B/+4- > <-*4:5-9 ,+4/5/3/3 8>5 -80-O-2,/+4>9 /4*F

K;A;Q  #456 $& %=a$"54 4 #456 $& 6 74#4Q 

73 :+ .>*:2/+4> A:/ /2,4/ K>+4-C,0,.-. ; 3,5B/ 8-5- .,32,+:,5 /0 B-0>5 ./ 0- <-*4:5- 8>5 -0=b+ /55>5> ./B>0:*,6+ ./ 2/5*-./5Q-3F

K;A;V  %4#567"8"$6$

d/-0,O- /0 5/=,345> ./ 0-3 B/+4-3 ; 0>3 -:2/+4>3 > .,32,+:*,>+/3 ./ /00>3 8>5 .>*:2/+4>3 /38/*,-0/3

8-5- /00>9 8/5> 5/*,C/ *>8,-3 ./ 4>.>3 0>3 .>*:2/+4>3 A:/ 3/ >5,=,+-5>+ /+ /0 *,*0> ./ B/+4- 8-5- <,+/3 ./

-5*@,B> ; .>*:2/+4>3 C-3/F

! f/5 -+/U> %F

# f/5 -+/U> # ; $F

$ f/5 -+/U> &F

% f/5 -+/U> IF

Page 44: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 44/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) $$

K;D  %4:54 $& C &#56: 

70 *>34> ./ B/+4-3 /3 /0 4>4-0 ./ :+,.-./3 B/+.,.-3 - 85/*,> ./ *>34>X /34/ 85/*,> ./ *>34> ,+*0:;/a

./(G+E H( GEJT/1 H( OE) 1/*gG'OE)

<h) S1)*E) TE/ IO(*( E XEH(S1

<h) H(/(GUE) H( +JTE/*1G+,-

<h) S1)*E) H( H()1H'1-1J+(-*E

<(-E) H()G'(-*E) )EX/( GEJT/1)

e45>3 *>34>3 5/0-*,>+-.>3 *>+ 0- *>285- ./ /U,34/+*,-3 *>2> 0>3 3/=:5>39 0- *-5=-9 0- ./3*-5=- ; /0

C>./=-D/9 8:/./+ 3/5 ./ .,<Q*,0 ,./+4,<,*-*,6+ *>+ /0 85>.:*4>9 8>5 0> *:-0 3/ 8-3-+ - =-34>3 ./0 8/5Q>.> ;

+> 3/ ,+B/+4-5Q-+F

R>3 ,+B/+4-5,>3 ./ /U,34/+*,-3 3>+ ./ .>3 4,8>3a

  Z+B/+4-5,> <Q3,*> > /U45-*>+4-C0/F

  Z+B/+4-5,> 8/58/4:>9 *>+4-C0/9 8/52-+/+*,- ./ ,+B/+4-5,>F

K;D;3  "#C&#56="4 LW:"%4 

73 /0 5/*:/+4> ./ 4>.-3 0-3 /U,34/+*,-3 ./ 85>8,/.-. ./ 0- /285/3- - :+- </*@- ./4/52,+-.-9 - 3:

85/*,> ./ *>34>F 70 ,+B/+4-5,> <Q3,*> *>+34- ./ .>3 8-54/39 :+- A:/ /3 0- 4>2- ./ ,+B/+4-5,> ]4,8>9 *0-3/ ;

*-+4,.-.[ ; 0- B-0:-*,6+ A:/ /3 2:04,80,*-50> - 3: 85/*,> ./ *>34>F

7+ /0 ,+B/+4-5,> <Q3,*> ./C/+ ,+*0:,53/ 4>.-3 0-3 /U,34/+*,-39 /3 ./*,59 +> 360> 0-3 /U,34/+*,-3 /+

C>./=-9 3,+> A:/ 4-2C,)+ 0-3 *>285-3 ./ 2/5*-./5Q-3 A:/ 3/ /+*:/+45-+ /+ 45?+3,4> ; 0-3 *>+3,=+-*,>+/3F

K;D;3;3  $&5&=<"#6%"@# $&8 %4:54 $& C &#56: .4= <&$"4 $& "#C&#56="4 LW:"%4 

70 *>34> ./ B/+4-3 3/ >C4,/+/ 8>5 0- 3,=:,/+4/ /*:-*,6+a

"-0(-*1/+E "-+G+1O 3A`;```;M

<h) %EJT/1) 5E*1O() D`;```;M

<h) ?1)*E) H( %EJT/1) 3;```;M<(-E) $(0EO'G+E-() bD;```R;M

<(-E) $()G'(-*E) bA;```R;M

"-0(-*1/+E 5E*1O T1/1 O1 C(-*1 3KV;```;M

<(-E) "-0(-*1/+E Lg)+GE L+-1O bY`;```R;M

Page 45: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 45/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) $%

%E)*E H( C(-*1) YV;```;M

K;D;3;A  8"<"56%"4#&: $&8 <a54$4 

70 2)4>.> ./ Z+B/+4-5,> ^Q3,*>a 4,/+/ 0- 0,2,4-*,6+ ./ A:/ 360> /3 8>3,C0/ *>+>*/5 /0 *>34> ./ 0-3

 B/+4-3 - 0- </*@- ./0 C-0-+*/ > ./0 ,+B/+4-5,>9 0> *:-0 +> /+45/=- >8>54:+- ,+<>52-*,6+ 8-5- 0- 4>2- ./

./*,3,>+/3F

K;D;A  "#C&#56="4 .&=.&5>4 4 "#C&#56="4 %4#5678& 

7+ /34/ 2)4>.> 3/ 45-4- ./ 2-+4/+/5 :+ ,+B/+4-5,> 8/52-+/+4/ ./ 0-3 /U,34/+*,-39 ./ 2>.> A:/ /3

8>3,C0/ /+ *:-0A:,/5 2>2/+4> *>+>*/5 /0 ,+B/+4-5,> /+ C>./=- ; ./4/52,+-5 /+ *-.- B/+4- 5/-0,O-.- /0

 B-0>5 ./ *>34> ./ )34-F 70 2)4>.> ./ M/52-+/+*,- ./ Z+B/+4-5,> 3/ C-3- /+ /0 :3> ./ :+ *>+D:+4> ./

 (-5D/4-3 ./ 7U,34/+*,-39 0-3 *:-0/3 8:/./+ 3/5 85>*/3-.-3 2-+:-09 2/*?+,*- > *>28:4-*,>+-02/+4/F 70

<>52-4> ./ 0-3 (-5D/4-3 ./ 7U,34/+*,- /3 /0 3,=:,/+4/a

70 5/=,345> ./ 0-3 /U,34/+*,-3 /+ 0- J>D- ./ 7U,34/+*,- 8:/./ @-*/53/ 8>5 -0=:+> ./ 0>3 3,=:,/+4/3

_)4>.>3 ./ f-0:-*,6+ ./ Z+B/+4-5,>3a

  L"L4N .&.:N M5,2/5-3 7+45-.-39 M5,2/5-3 W-0,.-3F

  8"L4N >&.:N \04,2-3 7+45-.-39 M5,2/5-3 W-0,.-3F

  %E)*E ./EJ(H+E

 Artículo ............................... Máximo ..................

Ubicación ............................. Mínimo ..................

FECHA

TOTAL

q q q$ $ $Total Total

Compras Ventas Saldos

Page 46: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 46/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) $&

K;D;A;3  L"L4 4 .&.:

734/ 2)4>.> 3/ C-3- /+ A:/ *-.- B/+4- 3/ 3-*- ./ 0-3 /U,34/+*,-3 2?3 -+4,=:-3 /+ C>./=-9 0:/=> /0

,+B/+4-5,> <,+-0 *>+34- ./ /U,34/+*,-3 -.A:,5,.-3 5/*,/+4/2/+4/F

7</*4> ./ 0- -80,*-*,6+ ./ /34/ 2)4>.>9 /+ :+ 85>*/3> ./ 85/*,>3 /+ -0O-a

1R  

&O GE)*E H( 0(-*1 ()*h )'X01O'1HE;

XR   81 '*+O+H1H X/'*1 ()*h )EX/(01OE/1H1;

GR   &O +-0(-*1/+E I+-1O ()*h 01OE/+i1HE 1 '- T/(G+E Jh) /(1O;

K;D;A;A  8"L4 4 >&.:

734/ 2)4>.> 3/ C-3- /+ A:/ 0-3 /U,34/+*,-3 -.A:,5,.-3 2?3 5/*,/+4/2/+4/9 3>+ 0-3 85,2/5-3 A:/ 3/

 B/+./+ ; 8>5 0> 4-+4> /0 ,+B/+4-5,> <,+-0 3/ /+*:/+45- B-0:-.> - 0>3 85/*,>3 2?3 -+4,=:>3 ./ *>285-F

7</*4>3 ./ 0- -80,*-*,6+ ./ /34/ 2)4>.> /+ :+ 85>*/3> ./ 85/*,>3 /+ -0O-a

1R  

&O GE)*E H( 0(-*1 ()*h 1 T/(G+E) GE//+(-*() E GE)*E H( /(TE)+G+,-;

XR   &O +-0(-*1/+E I+-1O ()*h )'X01O'1HE;

GR   81 '*+O+H1H H(O (P(/G+G+E T'(H( ()*1/ )'X01O'1H1;

K;D;A;D  %4:54 .=4<&$"4 

734/ 2)4>.> B-0>5,O- 0-3 3-0,.-3 - :+ 85/*,> A:/ +> /3 5/-09 3,+> /3 *-0*:0-.> *>2> 85>2/.,> /+45/

4>.>3 0>3 85/*,>3 ./ *>285- ./0 ,+B/+4-5,>F

7</*4>3 ./ 0- -80,*-*,6+ ./ /34/ 2)4>.>9 /+ :+ 85>*/3> ./ 85/*,>3 ./ -0O-a

-[  734? /+ *>+45-8>3,*,6+ /0 principio del costo como base de valuación, ya que el precio ―x‖ no es real

./ *>285-F

C[  M/52,4/ >C4/+/5 :+ *>34> 2?3 8-5/D> ; /34-C0/ 8-5- ./4/52,+-5 /0 *>34> ./ B/+4-9 /34> <-*,0,4- 0-3

 B-0>5,O-*,>+/3 /+ 0-3 3-0,.-3 ./ C>./=-; 

Page 47: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 47/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) $I

K;D;D  %4#:"$&=6%"4#&: ?&#&=68&: 

7+ un período de aumentos de precio, el método ―LIFO‖ se adecua más para medir el ingreso, a

0>3 85/*,>3 *>55,/+4/3 ./ 5/8>3,*,6+F

7+ 8/5Q>.>3 ./ 85/*,>3 ./3*/+./+4/3 /0 RZ^e +> 5/85/3/+4-5Q- 0>3 *>34>3 ./ ,+B/+4-5,>9 ; 4/+./5? -

85>.:*,5 :4,0,.-./3 3>C5/B-0>5-.-3F

7+ 8/5Q>.>3 ./ ,+<0-*,6+ /0 RZ^eX 85/3/+4- :4,0,.-./3 2?3 5/-0/3 A:/ 2>+/4-5,-3 ; 0>3 ,+B/+4-5,>3 3/

-D:34-+ 8>5 2/.,> ./ 0- KF_F - 85/*,>3 ./ 5/8>3,*,6+F

F

K;D;K  &8&%%"@# $&8 <a54$4 $& C  68>6%"@# $& "#C&#56="4 

GF  70 2)4>.> ./C/ <-*,0,4-5 0- -./*:-.- 85/3/+4-*,6+ ./0 ,+B/+4-5,> <,+-0 ./ 2/5*-./5Q-3F

!F  `/C/ 85>8>5*,>+-5 ,+<>52-*,6+ -./*:-.- - 0- =/5/+*,- 3>C5/ *>34>3 ; /U,34/+*,-3F

#F  `/C/ 3/5 ./ <?*,0 -80,*-*,6+F

$F  `/C/ 3/5 *>+3,34/+4/ ./ :+ 8/5Q>.> - >45>9 8-5- +> ,+.:*,5 - /55>5/3 8>5 /0 *-2C,> ./ B-0:-*,6+F

%F  `/C/ 3/5 -./*:-.> -0 =,5> ; +-4:5-0/O- ./0 +/=>*,>F

K;K  "L=: Z :> 5=656<"&#54 $& &d":5&#%"6: b#"% AR

70 45-4-2,/+4> ./ 0-3 /U,34/+*,-3 3/ /+*:/+45- /34-C0/*,.- /+ 0- NZK NY!9 *:;> >CD/4,B> 5/*>2/+.-5

/0 45-4-2,/+4> *>+4-C0/ ./ 0-3 /U,34/+*,-3F \+ 4/2- <:+.-2/+4-0 /+ 0- *>+4-C,0,O-*,6+ ./ 0-3 /U,34/+*,-3 /3

/0 2>+4> ./ *>34> - 3/5 5/*>+>*,.> *>2> :+ -*4,B>9 8-5- A:/ 3/- .,</5,.> @-34- A:/ 0>3 ,+=5/3>3

5/0-*,>+-.>3 3/-+ 5/*>+>*,.>3F 734- N>52- 85>8>5*,>+- :+- =:Q- /+ 0- ./4/52,+-*,6+ ./0 *>34> ; /08>34/5,>5 5/*>+>*,2,/+4> *>2> :+ =-34>9 ,+*0:;/+.> *:-0A:,/5 *-34,=> A:/ 5/C-D/ /0 B-0>5 ./ 0,C5>3 -0

 B-0>5 +/4> 5/-0,O-C0/F (-2C,)+ 85>8>5*,>+- =:Q-3 /+ 0-3 <652:0-3 ./ *>34> A:/ 3>+ :3-.-3 8-5- -3,=+-5

*>34>3 - 0-3 /U,34/+*,-3F

 (e`1W R1W 1N(7dZed7W KeNWZ`7d1KZeN7W W7 7RZ_ZN1N KeN R1 1MRZK1KZeN`7 R1 Kedd7KKZeN _eN7(1dZ19 w\7 7lZL7 d7f1RedZp1d 7R ZNf7N(1dZe

`7 _7dK1`7dZ1W 1R KeW(e `7 d7MeWZKZeN

Page 48: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 48/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) $c

K>+ 5/0-*,6+ - 3: -0*-+*/ /34- /34-C0/*/ A:/ 0>3 ,+B/+4-5,>3 ,+*0:;/+ 0>3 -*4,B>3 4/+,.>3 8-5- 0-

 B/+4- /+ /0 *:53> >5.,+-5,> ./0 +/=>*,> ]C,/+/3 4/52,+-.>3[9 -*4,B>3 /+ /0 85>*/3> ./ 85>.:**,6+ 8-5- 0-

 B/+4- /+ /0 *:53> >5.,+-5,> ./0 +/=>*,> ]45-C-D> /+ 85>*/3>[9 ; 2-4/5,-0/3 ; 3:2,+,345>3 A:/ 3/ *>+3:2/+

/+ 0- 85>.:**,6+ ]2-4/5,-3 85,2-3[F xNZK !F&y

W,+ /2C-5=>9 0- NZK ! /U*0:;/ ./ 3: -0*-+*/ *,/54>3 ,+B/+4-5,>3a xNZK !F!y

   (5-C-D> /+ 85>*/3> A:/ 3:5=/ C-D> *>+45-4>3 ./ *>+345:**,6+ ]B/5 0- NZK GG9 K>+45-4>3 ./

*>+345:**,6+[

  Z+345:2/+4>3 <,+-+*,/5>3 ]B/5 0- NZK #H9 Z+345:2/+4>3 <,+-+*,/5>3[

   1*4,B>3 C,>06=,*>3 5/0-*,>+-.>3 *>+ 0- -*4,B,.-. -=5Q*>0- ; 85>.:*4> -=5Q*>0- /+ /0 8:+4> ./

*>3/*@- ]B/5 0- NZK $G9 1=5,*:04:5-[

   (-2C,)+9 3, C,/+ 0>3 3,=:,/+4/3 /34?+ ./+45> ./0 -0*-+*/ ./ 0- +>52-9 0- NZK ! +> -80,*- - 0-

2/.,*,6+ ./ 0>3 ,+B/+4-5,>3 4/+,.>3 8>5a xNZK !F#y

  M5>.:*4>5/3 ./ 85>.:*4>3 -=5Q*>0-3 ; <>5/34-0/39 85>.:*4>3 -=5Q*>0-3 ./38:)3 ./ 0- *>3/*@-9 ;

2,+/5-0/3 ; 85>.:*4>3 2,+/5-0/39 /+ 0- /U4/+3,6+ /+ A:/ 3/-+ 2/.,.>3 -0 B-0>5 5/-0,O-C0/ +/4> ]8>5

/+*,2- > 8>5 ./C-D> ./0 *>34>[ ./ -*:/5.> *>+ 0-3 85?*4,*-3 C,/+ /34-C0/*,.-3 /+ /3-3 ,+.:345,-3F

K:-+.> 4-0/3 ,+B/+4-5,>3 3/ 2,./+ -0 B-0>5 5/-0,O-C0/ +/4>9 0>3 *-2C,>3 /+ /3/ B-0>5 3/ 5/*>+>*/+

/+ :4,0,.-. > 8)5.,.- /+ /0 8/5Q>.> ./0 *-2C,>F

  K>55/.>5/3 ; .,345,C:,.>5/3 ./ *>22>.,4,/3 ]2-4/5,-3 85,2-3[ A:/ 2,./+ 3:3 ,+B/+4-5,>3 - B-0>5

5-O>+-C0/ 2/+>3 0>3 *>34>3 ./ B/+4-F K:-+.> 4-0/3 ,+B/+4-5,>3 3/ 2,./+ - B-0>5 5-O>+-C0/ 2/+>3

0>3 *>34>3 ./ B/+4-9 0>3 *-2C,>3 /+ /0 B-0>5 5-O>+-C0/ 2/+>3 0>3 *>34>3 ./ B/+4-9 0>3 *-2C,>3 /+

/0 B-0>5 5-O>+-C0/ 2/+>3 0>3 *>34>3 ./ B/+4- 3/ 5/*>+>*/+ /+ :4,0,.-. > 8)5.,.- /+ /0 8/5Q>.> ./0

*-2C,>F

M5,+*,8,> <:+.-2/+4-0 ./ 0- NZK !

W/ 5/A:,/5/ A:/ 0>3 ,+B/+4-5,>3 3/ /34-C0/O*-+ -0 2?3 C-D> /+45/ /0 *>34> ; /0 B-0>5 5/-0,O-C0/ +/4> ]fdN[FxNZK !FHy

_/.,*,6+ ./ 0>3 ,+B/+4-5,>3

Page 49: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 49/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) $H

70 *>34> ,+*0:;/ 4>.> 0> 3,=:,/+4/a xNZK !FGPy

  K>34>3 ./ *>285- ],+*0:;/+.> ,28:/34>39 45-+38>54/ ; 2-+/D>[ +/4> ./ 0>3 ./3*:/+4>3

*>2/5*,-0/3 A:/ 3/ 5/*,C-+

  K>34>3 ./ *>+B/53,6+ ],+*0:;/+.> =-34>3 =/+/5-0/3 ./ 2-+:<-*4:5- <,D>3 ; B-5,-C0/3[ ;

  e45>3 *>34>3 ,+*:55,.>3 8-5- 4/+/5 0>3 ,+B/+4-5,>3 /+ 3: 0>*-0,O-*,6+ ; *>+.,*,6+ -*4:-0F

70 *>34> ./0 ,+B/+4-5,> +> ./C/ ,+*0:,5a xNZK !FG& –  !FGcy

  `/38/5.,*,>3 -+>52-0/3

  K>34>3 ./ -02-*/+-2,/+4>

  L-34>3 =/+/5-0/3 -.2,+,345-4,B>3 +> 5/0-*,>+-.>3 *>+ 0- 85>.:**,6+

  K>34>3 ./ B/+4-

  `,</5/+*,-3 ./ *-2C,> /U45-+D/5> A:/ 3:5D-+ .,5/*4-2/+4/ ./ 0- 5/*,/+4/ -.A:,3,*,6+ ./ ,+B/+4-5,>3

<-*4:5-.>3 /+ 2>+/.- /U45-+D/5-

  K>34>3 8>5 ,+4/5/3/3 *:-+.> 0>3 ,+B/+4-5,>3 3/ *>285-+ *>+ /0/2/+4>3 ./ 0,A:,.-*,6+ .,</5,.>3

70 *>34> /34?+.-5 ; 0>3 2)4>.>3 ./ ./ 4-0 8:/./+ 3/5 :3-.>3 8-5- 0- 2/.,*,6+ ./0 *>34>9 85>B,34>

A:/ 0>3 5/3:04-.>3 3/ -85>U,2-+ -0 *>34> -*4:-0F xNZK !F!GE!!y

M-5- 0>3 /0/2/+4>3 ./ ,+B/+4-5,> A:/ +> 3>+ ,+4/5*-2C,-C0/39 3/ -45,C:;/+ 0>3 *>34>3 /38/*Q<,*>3 -

0>3 /0/2/+4>3 ,+.,B,.:-0/3 /38/*Q<,*>3 ./0 ,+B/+4-5,>F xNZK !F!#y

M-5- 0>3 /0/2/+4>3 A:/ 3>+ ,+4/5*-2C,-C0/39 0- NZK ! 8/52,4/ 0-3 <652:0-3 ./ *>34> M7MW > ./

85>2/.,> 8>+./5-.>F xNZK !F!%yF R- <652:0- \7MW9 A:/ @-CQ- 3,.> 8/52,4,.- @-34- -+4/3 ./ 0- 5/B,3,6+

A:/ /+ /0 !PP# 3/ @,O> - 0- NZK !9 ;- +> 3/ 8/52,4/F

W/ ./C/ :3-5 0- 2,32- <652:0- ./ *>34> 8-5- 4>.>3 0>3 ,+B/+4-5,>3 *>+ *-5-*4/5Q34,*-3 3,2,0-5/3

4-0/3 *>2> 3: +-4:5-0/O- ; :3> 8-5- 0- /285/3-F M-5- =5:8>3 ./ ,+B/+4-5,>3 A:/ 4,/+/+ .,</5/+4/3

*-5-*4/5Q34,*-39 3/ 8:/./+ D:34,<,*-5 .,</5/+4/3 <652:0-3 ./ *>34>F xNZK !F!%y

.1/1 J1FE/ H()1//EOOE H( ()*1 J1*(/+1 (- 6-(jE #k[ )( (-GE-*/1/h (O *(j*E GEJTO(*E H( O1 #"% A

Page 50: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 50/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) %P

Q  5=656<"&#54 $&8 6 %5"C4 L"B4V 

R>3 C,/+/3 ./0 -*4,B> <,D> 3>+ -A:/00>3 A:/ 3/ -.A:,/5/+ 8-5- 3: :3> /+ 0-3 >8/5-*,>+/3 85>8,-3 ./ 0-

/285/3- 3,+ A:/ /U,34- 85>863,4> ./ B/+./50>3F

R>3 C,/+/3 A:/ <>52-+ 8-54/ ./0 -*4,B> <,D> 3>+a

  M5>8,/.-./3 ./ 80-+4- ; /A:,8>9 *>2> /.,<,*,>39 C,/+/3 5-Q*/39 2-A:,+-5Q-39 /A:,8>39 ,+34-0-*,>+/3F

734>3 C,/+/3 /34?+ 3:D/4>3 - ./85/*,-*,6+F

  d/*:53>3 +-4:5-0/39 *>2> 2,+-39 =-39 C>3A:/39 8>O>3 8/45>0/5>3F 734>3 C,/+/3 /34?+ 3:D/4>3 -

-=>4-2,/+4>F

   (/55/+>39 C,/+/3 ./0 -*4,B> <,D> +> 3:D/4>3 - ./85/*,-*,6+ 8>5 +> 3/5 ./4/5,>5-C0/3F

Q;3  % 6=6%5&=W:5"%6: $&8 6 %5"C4 L"B4 

GF  (,/+/+ 0-5=- B,.- b4,09 0- A:/ /34? /34,2-.- /+ 0-3 /38/*,<,*-*,>+/3 ./0 <-C5,*-+4/ ./0 /A:,8>F

!F  10 <,+-0 ./ 0- B,.- b4,09 4,/+/+ :+ B-0>5 5/3,.:-09 > B-0>5 ./ ./3/*@> A:/ 3/ /38/5- >C4/+/5 *>+ 3: B/+4-F

#F  70 *>34> ./ 0>3 -*4,B>3 <,D>3 /3 -04> / ,+*0:;/ /0 85/*,> ./ *>285- ; 0>3 =-34>3 +/*/3-5,>3 8-5- ./D-50> /+

<:+*,>+-2,/+4>F

$F  R- B,.- b4,0 /34? -</*4-.- 8>5 /0 :3> > 0- -**,6+ ./0 4,/28>F

%F  70 -*4,B> <,D> /34? -</*4> - 0- >C3>0/3*/+*,- /*>+62,*- > 4/*+>06=,*-F

&F  70 -*4,B> <,D> /3 80-+,<,*-.> /+ 0>3 85/3:8:/34>3 ./ *-8,4-09 ;- A:/ *>+34,4:;/ :+ ./3/2C>03> ./ /0/B-.>

2>+4>F

IF  R- B,.- b4,0 ./0 -*4,B> <,D> 3/ B/ -</*4-.- /+ 3: 5/+.,2,/+4> ./C,/+.> /</*4:-5 5/8-5-*,>+/39

2-+4/+*,>+/3 ; 2/D>5-3F

& f/5 1+/U> H ; G!F

Page 51: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 51/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) %G

Q;A  %4<.4#&#5&: $&8 6 %5"C4 L"B4 

`/ -*:/5.> - 0> -+4/5,>5 /0 -*4,B> <,D> 8:/./ *0-3,<,*-53/ /+a

Q;A;3  $&.=&%"678&: 

W>+ -A:/00>3 C,/+/3 A:/ 3/ ./3=-34-+9 /U4,+=:/+ > A:/.-+ <:/5- ./ :3> *>2> 5/3:04-.> ./ 3:/280/> /+ 0- -*4,B,.-. ./ 0- 7285/3- ; 3: *>34> ./C/ -</*4-5 - 0>3 .,34,+4>3 /D/5*,*,>3 ./ -*:/5.> - 0>3

-V>3 ./ B,.- b4,0 85>C-C0/ A:/ 4/+=-+F

Q;A;A  #4 $&.=&%"678&: 

W>+ -A:/00>3 C,/+/3 A:/ +> 3:<5/+ .,32,+:*,6+ /+ 3: *>34> *>2> 5/3:04-.> ./0 :3> ; ./0

45-+3*:53> ./0 4,/28>9 *>2> >*:55/9 8>5 /D/280> *>+ 0>3 4/55/+>3F

Q;A;D   6 ?45678&: 

W>+ -A:/00>3 C,/+/3 A:/ 5/85/3/+4-+ 5/*:53>3 +-4:5-0/3 3:D/4>3 - -=>4-2,/+4> > A:/ 3/ /U4,+=:/+

*>2> 5/3:04-.> ./ 0- /U80>4-*,6+ A:/ ./ /00>3 3/ /</*4b-F 7D/280>a 0-3 85>8,/.-./3 2,+/5-39 0>3 C>3A:/3

+-4:5-0/39 /4*F

Q;D  l_>a &: 86 $&.=&%"6%"@#m

R>3 S,/+/3 ./0 1*4,B> ^,D>9 3/ B/+ -</*4-.>3 8>5 /0 :3> ; 8>5 0- -**,6+ ./0 4,/28> ]>C3>0/3*/+*,-

4/*+>06=,*-[F 73 ./*,5 4,/+/+ :+ ./4/5,>5> <Q3,*> ; :+ ./4/5,>5> <:+*,>+-09 0> *:-0 @-*/ A:/ 8,/5.-+

8-:0-4,+-2/+4/ 3: B-0>5F 734- 8)5.,.- ./ B-0>59 3/ 00-2- $&.=&%"6%"4#F

Q;D;3  $&L"#"%"4#&: $& $&.=&%"6%"@# 

 1[ 1N(JeNka 73 /0 85>*/3> 8-5- 0- *>+B/53-*,6+ =5-.:-0 ./0 1K(Zfe /+ =-34>F

S[ z7NN7(J M7ddka 73 0- .,345,C:*,6+ 8/5,6.,*- ./0 *>34> ./ :+ C,/+ /+ /0 45-+3*:53> ./ 3: B,.- b4,0F

K>2> 3/ 8:/./ -85/*,-59 @-; .>3 /+<>A:/3 8-5- ./<,+,5 /0 *>+*/84> ./ ./85/*,-*,6+F

GF K>2> /0 =-34> > 8)5.,.- ./ B-0>5 /U8/5,2/+4-.> 8>5 0>3 1K(ZfeW ^ZqeW /+ /0 4,/28>F

!F K>2> :+ *>34> ./ :+ 3/5B,*,> *>+3:2,.> /+ :+ 8/5Q>.> *>+4-C0/F

7+ -2C>3 /+<>A:/39 3/ 45-4- ./ :+ 85>*/3> ./ .,345,C:*,6+ ./0 B-0>5 ./ :+ -*4,B> <,D> /+ 0>3 8/5Q>.>3

*>+4-C0/3 A:/ *>285/+./ 3: B,.- b4,0F

Page 52: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 52/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) %!

Q;D;A  &8&<&#54: _>& :& $&7&# %4#:"$&=6= .6=6 %68%>86= &8 <4#54 $& 86 $&.=&%"6%"@# 

Q;D;A;3  %4:54 $&8 7"&# 

70 2>+4> ./ 0- ./85/*,-*,6+ ./C/ *-0*:0-53/ 3>C5/ /0 B-0>5 +/4> 4>4-09 ./ 0>3 C,/+/3 ./0 -*4,B> <,D>9

/0 A:/ 3/ ./4/52,+- *>2> 3,=:/a

Z[ SZ7N7W 1`w\ZdZ`eW 7N 7R _7dK1`e N1KZeN1R

 f-0>5 ./ -.A:,3,*,6+ 3/=b+ <-*4:5-

],+*0:,.>3 <0/4/3 ; 3/=:5>3[F n {{{{{{{{{{{{{{

h Z28:/34>3 `R NY c!% A:/ =5-B-+

R- -.A:,3,*,6+ ./0 C,/+9 *:-+.> +>

K>+34,4:;/+ *5).,4> <,3*-0 - <-B>5 ./0

 1.A:,5/+4/F n {{{{{{{{{{{{{{{

h d/B-0>5,O-*,>+/3 +>52-0/3 ; /U45->5.,+-5,-39

R/=-0/3F n {{{{{{{{{{{{{{{

h _/D>5-3 A:/ @-;-+ -:2/+4-.> /0 B-0>5 ./0

S,/+F n {{{{{{{{{{{{{{{

_/+>3a `/85/*,-*,>+/3 -*:2:0-.-3 ./

 1V>3 -+4/5,>5/3F n {{{{{{{{{{{{{{{

h d/B-0>5,O-*,6+ ./0 154Q*:0> $G

K>55/38>+.,/+4/ -0 /D/5*,*,> 5/38/*4,B>F n {{{{{{{{{{{{{{{

h f-0>5 +/4> ./0 C,/+ 3>C5/ /0 *:-0 ./C/

K-0*:0-53/ 0- ./85/*,-*,6+ ./0 /D/5*,*,> n {{{{{{{{{{{{{{{

Page 53: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 53/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) %#

ZZ[ SZ7N7W 1`w\ZdZ`eW 7N 7R 7l(d1Nq7de

 f-0>5 KZ^ n {{{{{{{{{{{{{{{

h Z28:/34>3 `R NY c!% A:/ =5-B-+ 0- n {{{{{{{{{{{{{{{

 1.A:,3,*,6+ ./0 C,/+9 *:-+.> +> *>+34,4:;/+

―crédito fiscal‖ a favor del importador. 

h `/5/*@>3 ./ Z+4/5+-*,6+F n {{{{{{{{{{{{{{{

h L-34>3 ./ ./3-.:-+-2,/+4>F n {{{{{{{{{{{{{{{

h ^0/4/39 3/=:5>3 @-34- 0-3 C>./=-3 ./0

 1.A:,5/+4/F n {{{{{{{{{{{{{{{

h d/B-0>5,O-*,>+/3 +>52-0/3 ; 0/=-0/3

7U45->5.,+-5,-3F n {{{{{{{{{{{{{{{

h _/D>5-3 A:/ @-;-+ -:2/+4-.> /0 B-0>5

`/0 C,/+F n {{{{{{{{{{{{{{{

_/+>3a `/85/*,-*,>+/3 -*:2:0-.-3 ./

 1V>3 -+4/5,>5/3F n {{{{{{{{{{{{{{{

h d/B-0>5,O-*,6+ ./0 154Q*:0> $G9K>55/38>+.,/+4/ -0 /D/5*,*,> 5/38/*4,B>F n {{{{{{{{{{{{{{{

h f-0>5 +/4> ./0 C,/+ 3>C5/ /0 *:-0 ./C/

K-0*:0-53/ 0- ./85/*,-*,6+ ./0 /D/5*,*,>F n {{{{{{{{{{{{{{{

Page 54: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 54/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) %$

Q;D;D   C "$6 n5"8 $&8 6 %5"C4 L"B4 

73 /0 4,/28> /34,2-.> .:5-+4/ /0 *:-0 /0 1*4,B> ^,D> 85/34-5? 3/5B,*,>3 /+ 0- /285/3-F R- B,.- b4,0

8:/./ /34-5 ./4/52,+-.- /+ -V>39 :+,.-./3 ./ 85>.:**,6+9 |,062/45>3 8>5 5/*>55/59 /4*F

R- ,28>54-+*,- ./ 0- B,.- b4,0 /3 A:/ B- - 3/5 ./4/52,+-+4/ /+ /0 *?0*:0> ./ 0-3 ./85/*,-*,>+/3F7U,34/+ .>3 4,8>3 ./ B,.- b4,09 :+- ./4/52,+-.- 8>5 /0 W/5B,*,> ./ Z28:/34>3 Z+4/5+>3 8-5- /</*4>3

./ 0- ./85/*,-*,6+ 45,C:4-5,- ; >45- B,.- b4,0 /*>+62,*- ./4/52,+-.- 8>5 /0 :3:-5,> ; /0 <-C5,*-+4/ ./0 C,/+

8-5- <,+/3 ./ *?0*:0> ./ 0- ./85/*,-*,6+ /*>+62,*-9 :3-.- /+ 0-3 ./*,3,>+/3 ./ ,+B/53,6+F

Q;D;K   C  684= = &:"$>68 4 $& : 68C6<&#54 

73 /0 B-0>5 /34,2-.> A:/ 3/ /38/5- >C4/+/5 -0 <,+-0 ./ 0- B,.- b4,0 ./0 -*4,B> <,D>9 > C,/+ 3: B-0>5 *>2/5*,-0

-0 2>2/+4> A:/ 3/ /38/5- B/+./5F7+ 0- ./85/*,-*,6+ 45,C:4-5,- 3/ -3:2/ A:/ /0 B-0>5 5/3,.:-0 /3 nGF

Q;K  <a54$4: $& $&.=&%"6%"@# 

Q;K;3  5="7>56="6

70 -54Q*:0> #G NY % ./ 0- R/; ./ 0- d/+4-9 8/52,4/ ./.:*,5 ./ 0- 5/+4- C5:4- :+- ./85/*,-*,6+ 8-5-

*>28/+3-5 /0 -=>4-2,/+4>9 ./3=-34/ ; ./345:**,6+ ./ 0>3 C,/+/3 ./0 -*4,B> <,D> - *>+4-5 ./ 3: :4,0,O-*,6+ /+

0- 7285/3-9 *-0*:0-.- 3>C5/ /0 B-0>5 +/4> ./ 0>3 C,/+/3 - 0- </*@- ./0 S-0-+*/9 :+- B/O /</*4:-.- 0-5/B-0>5,O-*,6+ >C0,=-4>5,- A:/ /34-C0/*/ /0 154Q*:0> NY $GF

R- *,4-.- .,38>3,*,6+ *>+4/280- 45/3 -04/5+-4,B-3 ./ <,D-*,6+ ./0 8>5*/+4-D/ > *:>4- ./ ./85/*,-*,6+

./ 0>3 C,/+/3X /34-3 3>+ 0-3 3,=:,/+4/3a

GF .&="4$4 $& $&.=&%"6%"4# 4=$"#6="6  > +>52-0 A:/ .,*/ 5/0-*,6+ *>+ 0>3 -V>3 ./

 B,.- b4,0 A:/ 2/.,-+4/ +>52-3 =/+/5-0/3 <,D- 0- `,5/**,6+ ./0 W/5B,*,>F

!F .&="4$4 $& $&.=&%"6%"4# 6%&8&=6$6 X A:/ 5/3:04- ./ <,D-5 - 0>3 C,/+/3 ./0 -*4,B>

<,D> -.A:,5,.>3 +:/B>39 :+- B,.- b4,0 /A:,B-0/+4/ - :+ 4/5*,> ]Go#[ ./ 0- <,D-.- 8>5 0- `,5/**,6+ d/=,>+-09

3,/285/ A:/ )34- +> 3/- ,+</5,>5 - 45/3 -V>3F

Page 55: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 55/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) %%

#F .&="4$4 $& $&.=&%"6%"4# &:.&%"68 A:/ <,D-5? 0- `,5/**,6+ d/=,>+-09 /+ *-.- *-3>

8-54,*:0-59 - 8/4,*,6+ ./0 *>+45,C:;/+4/ > ./0 K>2,4) ./ Z+B/53,>+/3 7U45-+D/5-39 *:-+.> 0>3 -+4/*/./+4/39

-3Q 0> @-=-+ -*>+3/D-C0/3F

$F &# &8 %6:4 $& 6?456<"&#549 /0 <-*4>5 > *>34> ./ -=>4-2,/+4> 3/ C-3- /+ /0 +,B/0 ./

-*4,B,.-. > :3>X +> ./ 4,/28> *>2> /+ /0 *-3> ./ :+ C,/+ A:/ 3/ 8:/./ 5/*:8/5-5 *>285?+.>0> >

5//280-O?+.>0>F

Q;K;A  &%4#@<"%6  

Q;K;A;3  8"#&68 4 $& % 6=?4 >#"L4=<& 

K>+3,34/ /+ *-0*:0-5 :+ 2,32> 2>+4> 8-5- 4>.>3 0>3 -V>3 ./ B,.- b4,0 ./0 C,/+F 73 -*>+3/D-C0/

8-5- -A:/00>3 -*4,B>3 A:/ 85/34-+ 3/5B,*,>3 -+:-0/3 *>+34-+4/3F

7D/280>a

K>34> ./0 S,/+ n&PPFPPPFE

d/3,.:-0 n &PFPPPFE

K>34> - ./85/*,-5 n%$PFPPPFE

 f,.- b4,0 !P -V>3

`/85/*,-*,6+ -+:-0 n !IFPPPFE

Q;K;A;A  <a54$4 76:6$4 &# 86 .=4$>%%"@# 

W/ C-3- /+ /0 3:8:/34> ./ A:/ /0 <-*4>5 A:/ ./4/52,+- /0 */3/ ./ 0- B,.- b4,0 /3 /0 :3> A:/ ./ )0 3/

@-=-F R:/=> 3: B,.- b4,0 3/ /U85/3- /+ :+,.-./3 A:/ 3/ /38/5- 85>.:O*-F

7D/280>a

K>34> ./0 S,/+ n#PPFPPPFE

d/3,.:-0 n #PFPPPFE

K>34> - ./85/*,-5 n!IPFPPPFE

―u‖ de producción:  GPPFPPP @>5-3F

`/85/*,-*,6+ 8>5 @>5-a n!9I

Page 56: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 56/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) %&

Q;K;A;D  <a54$4: 6%&8&=6$4: 4 $& %6=?4: $&%=&%"&#5&: 

W/ C-3-+ /+ /0 @/*@> A:/ 2:*@>3 -*4,B>3 <,D>3 3>+ 2?3 B-0,>3>3 /+ 3:3 85,2/5>3 -V>3 ./ B,.- b4,09

8:/34> A:/ 0- /<,*,/+*,- 85>.:*4,B- .,32,+:;/ *>+ /0 8-3> ./0 4,/28>9 8>5A:/ 0>3 =-34>3 ./ 2-+4/+*,6+ ;

5/8-5-*,6+ -:2/+4-+ *>+ /0 8-3> ./0 4,/28>9 > 8>5A:/ -0 8-3-5 /0 4,/28> @-; 2-;>5 85>C-C,0,.-. ./

A:/.-5 >C3>0/4>3F

R>3 2)4>.>3 -*/0/5-.>39 *-5=-+ :+ 2-;>5 B-0>5 8>5 ./85/*,-*,6+ /+ 0>3 85,2/5>3 -V>39 /0 *:-0 B-

./*5/*,/+.> - 2/.,.- A:/ 45-+3*:55/ 0- B,.- b4,0 ./0 -*4,B>F

70 /</*4> ./ /34>3 2)4>.>3 /3 /0 ./85/*,-5 -85>U,2-.-2/+4/ 0>3 !o# ./0 *>34> /+ 0- 85,2/5- 2,4-.

./ 0- B,.- b4,0 ./0 C,/+F

Q;K;A;K  <a54$4 $& 86 $478& 56:6 8"#&68 :47=& :68$4: $&%=&%"&#5&: 

K>+3,34/ /+ -80,*-5 :+- 4-3- /A:,B-0/+4/ -0 .>C0/ ./ 0- 4-3- +>52-0 ./ ./85/*,-*,6+ 3>C5/ /0 B-0>5

+/4> /+ 0,C5>3F

7D/280>a K>34> ./0 S,/+ nG!PFPPPFE

 f-0>5 5/3,.:-0 !PFPPPFE

K>34> - ./85/*,-5 nGPPFPPPFE

 f,.- b4,0 $ -V>3

 (-3- 3,280/a

 

`>C0/ 4-3-a %PrF

 1}e _eN(e `7Md7KZ1SR7

]fF N7(eE fF d7WZ`\1R[

`7Md7KZ1KZeN

 1N\1R

`7Md7KZ1KZeN

 1K\_\R1`1

 f1Red

N7(e

 f1Red

d7WZ`\1R

P GPPFPPP EEEEEEEE EEEEEEEEE G!PFPPP !PFPPP

G GPPFPPP %PFPPP ]G[ %PFPPP IPFPPP !PFPPP

! %PFPPP !%FPPP ]![ I%FPPP $%FPPP !PFPPP

# !%FPPP G!F%PP ]#[ cIF%PP #!F%PP !PFPPP$ G!F%PP &F!%P ]$[ H#FI%P !&F!%P !PFPPP

b3R 3``;``` j Q`o

bAR Q`;``` j Q`o

bDR AQ;``` j Q`o

bKR 3A;Q`` j Q`o  

Page 57: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 57/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) %I

734/ 2)4>.> 85/3/+4- /0 ,+*>+B/+,/+4/ ./ ./D-5 3,/285/ :+ 3-0.> 3,+ ./85/*,-5F M>5 /00> 3/

recomienda usar este método sin ―*>+3,./5-5 /0 B-0>5 5/3,.:-0‖, con lo cual la diferencia se minimiza y

8:./ 3/5 -D:34-.- -0 b04,2> -V>F

e C,/+9 *:-+.> 0- ./85/*,-*,6+ -+:-0 ./ :+ 8/5Q>.> /3 2/+>5 A:/ 0- 4-3- 3,280/ ./0 B-0>5 -

./85/*,-59 3/ *-2C,- ./ 2)4>.> ; 3/ -80,*- /0 0,+/-0 8-5- /0 5/34> ./ 0- B,.- b4,0 ./0 C,/+F

7D/280>a K>34> ./0 S,/+ a n%PFPPPFE

 f,.- b4,0 a GP -V>3

 (-3- 3,280/a GPr

 (-3- .>C0/a !Pr

 1}e `7Md7KZ1KZeN f1Red N7(e

P EEEEEEEEE ]u[n%PFPPP

G GPFPPP $PFPPP

! cFPPP #!FPPP

# &F$PP !%F&PP

$ %FG!P !PF$cP

% ]u[$FPH& _7Ned w\7 R1 (1W1

WZ_MR7

  !PF$cP a & g

% #F$G#9##

&

I

c

H

GP

Page 58: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 58/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) %c

Q;K;A;Q  :><6 $& 84: 6p4: $W?"54: 

7+ /34/ 2)4>.> 3/ 5/85/3/+4- *-.- -V> ./ 0- B,.- b4,0 8>5 :+ .Q=,4>9 *:;- 3:2- .-5? /0

./+>2,+-.>5 ./ :+- <5-**,6+F 70 +:2/5-.>5 /3 /0 +b2/5> ./ -V>3 ]+[ A:/ B- .,32,+:;/+.> @-34- 00/=-5

- GF

7D/280>a K>34> ./0 S,/+a n!PPFPPPFE

 fF d/3,.:-0 a !PFPPPFE

+ a % -V>3

G h ! h # h $ h % g G% ./+>2,+-.>5F

 1}e KeW(e 1

`7Md7KZ1d

 (1W1

 1N\1R `7Md7KZ1KZeN

`7Md7KZ1KZeN

 1K\_\R1`1

 f1Red

N7(e

P GcPFPPP EEEEE EEEEEE EEEEEEE !PPFPPP

G GcPFPPP %oG% &PFPPP &PFPPP G$PFPPP

! GcPFPPP $oG% $cFPPP GPcFPPP H!FPPP

# GcPFPPP #oG% #&FPPP G$$FPPP %&FPPP

$ GcPFPPP !oG% !$FPPP G&cFPPP #!FPPP

% GcPFPPP GoG% G!FPPP GcPFPPP

 f1Red

d7WZ`\1R

Lo contrario a los métodos acelerados, es el ―H()1G(O(/1HE ‖. Bajo este método se carga un

2-;>5 B-0>5 ./ ./85/*,-*,6+ /+ 0>3 b04,2>3 ./ B,.- b4,0F

W/ :4,0,O- /0 2)4>.> ./ 0>3 -V>3 .Q=,4>39 8/5> /+ <>52- ,+B/53-F

7D/280>F K>34> ./0 S,/+ g n$%FPPPFE

+ g % -V>3F

20.000 

Page 59: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 59/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) %H

`/85/*,-*,6+

M5,2/5 -V> $%FPPP l GoG% g #FPPPFE

W/=:+.> -V> $%FPPP l !oG% g &FPPPFE

 (/5*/5 -V> $%FPPP l #oG% g HFPPPFE

K:-54> -V> $%FPPP l $oG% g G!FPPPFE

w:,+4> -V> $%FPPP l %oG% g G%FPPPFE

Q;K;A;V  $&.=&%"6%"@# .4= ?=>.4: 

73 :+ 3,34/2- -80,*-C0/ - 8-54,.-3 ./ C,/+/3 A:/ 85/3/+4-+ *-5-*4/5Q34,*-3 3,2,0-5/39 /+ *:-+4> - 3:

 B,.- b4,09 5/+.,2,/+4>9 <>52- ; <:+*,>+-2,/+4>F

7+ /34/ *-3> 3/ ./4/52,+- :+- B,.- b4,0 85>2/.,> ./0 =5:8> ./ -*4,B>3 ; 0- 4-3- ./ ./85/*,-*,6+ 3/

-80,*- 3>C5/ /0 B-0>5 4>4-0 ./ /00>3 *>+3,./5-.>3 8>5 :+> 3>0>F

K:-+.> 3/ 5/4,5- :+ C,/+ ./0 =5:8> +> /3 +/*/3-5,> *-0*:0-5 0- 8)5.,.- > =-+-+*,- ./ *-8,4-0 A:/ 3/

85>.:*/ 8>5 .,*@> 5/4,5>F W,+> A:/ 3,280/2/+4/ 3/ 5/4,5- /0 *>34> ./0 4>4-0 ./ .,*@- *0-3/ ./ -*4,B> ; 3/

./4/52,+- :+- 8)5.,.- > =-+-+*,- /+ /0 2>2/+4> ./0 5/4,5> ./0 b04,2> -*4,B> ./ 0- *0-3/ 5/38/*4,B-F

73 ./*,59 /0 5/4,5> ./38:)3 ./ :+ +b2/5> ./ -V>3 .,34,+4>3 -0 85>2/.,> 5/A:,/5/ /0 85>55-4/> ./ 0>3

*>34>3 ./ ./85/*,-*,6+ 8-5- 0>3 -*4,B>3 5/34-+4/3F

Q;K;D   6 8?>#4: 6:.&%54: =&8&C6#5&: $& 86 $&.=&%"6%"@# 

b$()H( T'-*E H( 0+)*1 */+X'*1/+ER

-  R- ./85/*,-*,6+ ./ 0>3 C,/+/39 ./C/ /28/O-5 - -80,*-53/ - *>+4-5 ./ 0- </*@- ./ 3: :4,0,O-*,6+ /+ 0-

/285/3-F

-  K:-+.> 0>3 C,/+/3 @-+ 3,.> :3-.>3 360> /+ :+- 8-54/ ./0 /D/5*,*,>9 0- ./85/*,-*,6+ 3/ *-0*:0- /+

85>8>5*,6+ -0 +b2/5> ./ 2/3/3 /+ :3>F

-  K:-+.> 3/ -.A:,/5/+ C,/+/3 :3-.>39 8/5> A:/ -b+ +> @-+ *>280/4-.> /0 8/5Q>.> ./ B,.- b4,0

+>52-0 <,D-.> 8>5 /0 WZZ9 0- B,.- b4,0 - *>+3,./5-5 8>5 /0 +:/B> .:/V> 3/5? -A:/00- A:/ 5/3:04/ ././3*>+4-5 ./ 0- B,.- b4,0 +>52-09 /0 4,/28> /+ A:/ @-+ 3,.> :3-.>3 8>5 /0 .:/V> -+4/5,>5F

-  K:-+.> 3/ -.A:,/5/ :+ C,/+ A:/ ;- @- *>280/4-.> 3: B,.- b4,0 +>52-09 /+ *>+<>52,.-. - 0>3 -V>3

./4/52,+-.>3 8>5 /0 W/5B,*,>9 )34- ./C/5? /34,2-53/ ./ -*:/5.> *>+ 0-3 *>+3,./5-*,>+/3 A:/ /0

*>+45,C:;/+4/ 4:B> - 0- B,34- /0 2>2/+4> ./ -.A:,5,5 /0 C,/+F

Page 60: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 60/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) &P

-  K:-+.> 0>3 C,/+/3 ./0 1*4,B> ^,D>9 @-;-+ *>280/4-.> 3: B,.- b4,09 /3 ./*,5 3/ /+*:/+45/+

4>4-02/+4/ ./85/*,-.>39 ./C/5?+ 5/=,345-53/ /+ 0- *>+4-C,0,.-. 8>5 :+ B-0>5 <,D> ./ :+ 8/3> nG9 /0

*:-0 ./C/5? 8/52-+/*/5 /+ 0>3 5/=,345>3 *>+4-C0/3 @-34- 0- /0,2,+-*,6+ 4>4-0 ./0 C,/+9 2>4,B-.> 8>5

0- B/+4-9 5/4,5> : >45- *-:3-F

-  R>3 C,/+/3 A:/ 3/ @-+ @/*@> ZNW7dfZSR7W ]*:-+.> :+ C,/+ A:/.- >C3>0/4> 8>5 :+- *-:3-

.,34,+4- - 3: ./345:**,6+[ -+4/3 ./0 4)52,+> ./0 80-O> ./ ./85/*,-*,6+9 8>.5?+ -:2/+4-5 /0 .>C0/

./ 0- ./85/*,-*,6+ *>55/38>+.,/+4/F

7+ /0 *-3>9 ./ `7W(d\KKZeN9 A:/ 8:/./+ 3:<5,5 0>3 C,/+/39 3/ /</*4b- /0 *>55/38>+.,/+4/

*-34,=> *>+ *-5=> - 0>3 5/3:04-.>3 ./0 /D/5*,*,> /+ A:/ >*:55- /0 3,+,/345> > *-:3- A:/ 0> >5,=,+/F

Q;K;K  %4#567"8"]6%"@# 

G[ 13,/+4> 8>5 0- ./85/*,-*,6+ 1+:-0

`7S7 J1S7d `7Md7KZ1KZeN

`7Md7KZ1KZeN 1K\_\R1`1

`7(1RR7

 

![ d/4,5> ./ :+ -*4,B> 8>5 B/+4-9 -+4/3 ./0 4)52,+> ./ 3: B,.- b4,0

K>34> ./0 S,/+ n!PPFPPPFE

`/85/*,-*,6+ 1*:2:0-.- nG&PFPPPFE

M5/*,> ./ f/+4- n &PFPPPFE

`7S7 J1S7d `7Md7KZ1KZeN 1K\_\R1`1   G&PFPPP

MAQUINARIA   G&PFPPPK1q1 $PFPPP

_1w\ZN1W $PFPPPK1q1 !PFPPP\(ZRZ`1` Med f7N(1 !PFPPP

`7(1RR7

 

Page 61: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 61/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) &G

Q;K;Q  <&B4=6:N < 6#5&#%"@# Z = &.6=6%"@# 

Q;K;Q;3  <&B4=6: 

W>+ 45-C-D>3 B>0:+4-5,>3 A:/ 0- /285/3- /</*4b- /+ 0>3 C,/+/3 8-5- 2/D>5-5 3: 5/+.,2,/+4>9

85>.:*4,B,.-.9 /4*F ]70 C,/+ 3/ /+*:/+45- /+ 8/5</*4-3 *>+.,*,>+/3 ./ <:+*,>+-2,/+4>[F

R-3 2/D>5-3 8:/./+ 85>.:*,5 .>3 /</*4>3F

-[ 1:2/+4-5 0- B,.- b4,0 ./0 1*4,B>

7D/280>a K>34> ./0 S,/+ g n GPPFPPPFE

+ g GP -V>3

`/85/*,-*,6+ R,+/-0 g n GPFPPP -+:-0

W/ ,+*>58>5- :+- 2/D>5- ./ n$PFPPP9 -0 4/5*/5 -V> ./ :3> ./0 C,/+F 734-2/D>5- -:2/+4- 0- B,.- b4,0 /+ % -V>3F

_-A:,+-5,- `/85/*,-*,6+ 1*:2:0-.-

GPPFPPPFE GPFPPP

GPFPPP

GPFPPP

 6)+(-*E TE/ O1 J(PE/1

`7S7 J1S7d _1w\ZN1dZ1   $PFPPP

S1NKe $PFPPP

`7(1RR7

 

R- 2-A:,+-5,- 4,/+/ :+ B-0>5 C5:4> ./ nG$PFPPPFE

 f-0>5 - ./85/*,-5a G$PFPPP E #PFPPP g GGPFPPPFE f,.- b4,0 5/34-+4/a I h % g G! -V>3F

`/85/*,-*,6+ 1+:-0a

FE

Page 62: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 62/312

Page 63: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 63/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) &#

Q;K;Q;D  = &.6=6%"4#&: 

W/ 8:/./+ *0-3,<,*-5 /+ .>3a

  e5.,+-5,-3

  7U45->5.,+-5,-3

Q;K;Q;D;3  4=$"#6="6: 

W>+ 5/8-5-*,>+/3 2/+>5/3 ./ *-5?*4/5 8/5,6.,*> A:/ +> -=5/=-+ +,+=b+ +:/B> B-0>5 -0 C,/+F W/

@-*/+ 8-5- -3/=:5-5 :+ C:/+ <:+*,>+-2,/+4>F 7D/280>a K-2C,> ./ C:DQ-3F

`7S7 J1S7d L1W(eW L7N7d1R7W   !FPPP

K1q1 !FPPP

`7(1RR7

 

Q;K;Q;D;A  &d5=64=$"#6="6: 

W>+ ./3/2C>03>3 3bC,4>3 ; <>54:,4>3 A:/ ./C/ ,+*:55,5 0- /285/3- 8-5- 5/8-5-5 /0 ./4/5,>5> ./0 -0=b+

C,/+ ./0 -*4,B> <,D>F

 1b+ *:-+.> /34>3 ./3/2C>03>3 5/85/3/+4-+ :+ =-34> 8-5- 0- /285/3-9 3, 45-/+ *>2> *>+3/*:/+*,- :+

-:2/+4> ./ 3: B,.- b4,09 ./C/+ *>+3,./5-53/ *>2> 2/D>5-3F~

Q;Q  "L=: Z :> 5=656<"&#54 $&8 6 %5"C4 L"B4 b#"% 3VN #"% DVR

70 45-4-2,/+4> ./0 1*4,B> ^,D> 3/ /+*:/+45- /34-C0/*,.> /+ 0- NZK NY G& ; #&F 70 >CD/4,B> ./ 0- NZK

G& /3 85/3*5,C,5 /0 45-4-2,/+4> *>+4-C0/ 8-5- 85>8,/.-.9 80-+4- ; /A:,8>F R>3 85,+*,8-0/3 85>C0/2-3 3>+ 0-

>8>54:+,.-. ./0 5/*>+>*,2,/+4> ./ 0>3 -*4,B>39 0- ./4/52,+-*,6+ ./ 3:3 *-+4,.-./3 *-5=-.-39 ; 0>3 *-5=>3

8>5 ./85/*,-*,6+ - 3/5 5/*>+>*,.>3 /+ 5/0-*,6+ *>+ /00>3F

K>+ 5/0-*,6+ -0 -0*-+*/ /34- 3/V-0- A:/ 3, C,/+ 0- NZK G& +> -80,*- - 0>3 -*4,B>3 C,>06=,*>3

5/0-*,>+-.>3 *>+ 0- -*4,B,.-. -=5Q*>0- ]B/5 0- NZK $G[ > - 0>3 ./5/*@>3 2,+/5-0/3 ; - 0-3 5/3/5B-3 2,+/5-0/3

4-0/3 *>2> 8/4560/>9 =-3 +-4:5-0 ; -*4,B>3 3,2,0-5/3 +>E5/+>B-C0/39 -80,*- - 0- 85>8,/.-.9 80-+4- ; /A:,8>A:/ 3/ :3- 8-5- ./3-55>00-5 > 2-+4/+/5 4-0/3 -*4,B>3F xZ1W G&F#y

d/38/*4> ./ 0- NZK #& 3: >CD/4,B> /3 -3/=:5-5 A:/ 0>3 -*4,B>3 3/ 00/B-+ - +> 2?3 A:/ 3: *-+4,.-.

5/*:8/5-C0/9 ; ./<,+,5 *62> 3/ *-0*:0- 0- *-+4,.-. 5/*:8/5-C0/F

Page 64: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 64/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) &$

d/38/*4> ./ 3: -0*-+*/9 /34- NZK -80,*- - 4>.>3 0>3 -*4,B>3 /U*/84>a xNZK #&F!y

  Z+B/+4-5,>3 ]B/5 0- NZK ![

   1*4,B>3 A:/ 3:5=/+ ./ *>+45-4>3 ./ *>+345:**,6+ ]B/5 0- NZK GG[

   1*4,B>3 45,C:4-5,>3 .,</5,.>3 ]B/5 0- NZK G![

   1*4,B>3 A:/ 3:5=/+ ./ C/+/<,*,>3 8-5- /280/-.>3 ]B/5 0- NZK GH[   1*4,B>3 <,+-+*,/5>3 ]B/5 0- NZK #H[

  M5>8,/.-. 8-5- ,+B/53,6+ 00/B-.- - B-0>5 5-O>+-C0/ ]B/5 0- NZK $P[

  K,/54>3 -*4,B>3 ./ -=5,*:04>5- 00/B-.>3 - B-0>5 5-O>+-C0/ ]B/5 0- NZK $G[

   1*4,B>3 ./ *>+45-4>3 ./ 3/=:5> ]B/5 0- NZZ^ $[

   1*4,B>3 4/+,.>3 8-5- 0- B/+4- ]B/5 0- NZZ^ %[

M>5 *>+3,=:,/+4/9 0- NZK #& -80,*- - ]/+45/ >45>3 -*4,B>3[a

   (/55/+>3  7.,<,*-*,>+/3

  _-A:,+-5,- ; /A:,8>

  M5>8,/.-. 8-5- ,+B/53,6+ 00/B-.- -0 *>34>

   1*4,B>3 ,+4-+=,C0/3

  M0:3B-0Q-

  Z+B/53,>+/3 /+ 3:C3,.,-5,-39 -3>*,-.-39 ; +/=>*,>3 *>+D:+4>3

   1*4,B>3 00/B-.>3 - *-+4,.-./3 5/B-0:-.-3 3/=b+ 0- NZK G& ; 0- NZK #c

.1/1 J1FE/ H(*1OO( H( ()*1 J1*(/+1 (- 6-(jE) 3` F 33 (-GE-*/1/h (O *(j*E GEJTO(*E H( O1) #"% 3V FDV /()T(G*+01J(-*(

Page 65: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 65/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) &%

V  %4==&%%"@# <4#&56="6 7 9:"%6  

73 /0 85>*/.,2,/+4> 2/.,-+4/ /0 *:-0 3/ /0,2,+-+ ./ 0>3 /34-.>3 <,+-+*,/5>3 0>3 </+62/+>3 *5/-.>3

8>5 0- 8)5.,.- ./ 8>./5 -.A:,3,4,B> ./0 .,+/5>9 0- A:/ =/+/5- 8)5.,.-3 > :4,0,.-./3 360> 8>5 85>C0/2-3

,+<0-*,>+-5,>3F

W/ 8,/5./ *:-+.> 3/ 4,/+/+ -*4,B>3 A:/ .,32,+:;/+ 3: B-0>5 /+ /0 4,/28>9 8/5> 3/ =-+-9 *:-+.> 3/

4,/+/+ 8-3,B>3 A:/ .,32,+:;/+ 3: B-0>5 /+ /0 4,/28>F

V;3  &L&%54: $& 86 "#L86%"@# $&:$& .>#54 $& C":56 &%4#@<"%4;

1) M5>B>*- :+- 5/.:**,6+ ./ 0>3 3-0.>3 2>+/4-5,>39 /34> ,280,*- A:/ 2/+>5/3 5/*:53>3 ,5?+ - 0-

2-+4/+*,6+ ./ .,+/5> ; 2?3 - 0- 85>.:**,6+ ./ 4>.>3 0>3 >45>3 85>.:*4>3 *:;>3 B-0>5/3 3/ -D:34-+ -

0>3 *-2C,>3 /+ 0>3 85/*,>3F

2) R- /U8/*4-4,B- ./ -:2/+4>3 ./ 85/*,>3 *>+.:*/ - 0- 5/B-0>5,O-*,6+ ./ 0>3 B-0>5/39 8>5 /D/280>a

S>+>3F

3) W/ 85>.:*/+ *-2C,>3 /+ 0>3 85/*,>3 5/0-4,B>3 /+45/ 0>3 -*4,B>39 B-0>5?+.>3/ 2?3 -A:/00>3 A:/ 4,/+/+

:+- 2-;>5 *-8-*,.-. *>2> 3:34,4:4>3 ./0 .,+/5> ; *:;> B-0>5 +>2,+-0 B-5Q- ./ -*:/5.> *>+ 0>3

*-2C,>3 /+ /0 +,B/0 ./ 85/*,>3F

V;A  &L&%54: $& 86 "#L86%"@# $&:$& ># .>#54 $& C":56 %4#5678& 

 10 /U,34,5 ,+<0-*,6+9 0-3 >8/5-*,>+/3 <,+-+*,/5-3 A:/ @- 5/-0,O-.> :+- /285/3-9 B-+ - /34-5 /U85/3-.-

/+ :+,.-./3 2>+/4-5,-3 ./ .,34,+4> B-0>5 - 45-B)3 ./0 4,/28>9 /+ *>+3/*:/+*,- 0>3 .,</5/+4/3 ,+<>52/3 A:/

/+45/=:/ *>+4-C,0,.-. /34?+ .,34>53,>+-.>3F

1) 70 S-0-+*/ L/+/5-0 +> 2:/345- 0- B/5.-./5- 3,4:-*,6+ /*>+62,*- E <,+-+*,/5- ./ :+- /285/3- /+ :+

2>2/+4> .-.>F

7+45/ 2/O*0- B-0>5/3 2>+/4-5,>3 5/</5,.>3 - .,34,+4-3 )8>*-3F

2)70 734-.> ./ M)5.,.-3 ; L-+-+*,-3 /+45/=- 5/3:04-.>3 +> 5/-0/3 8>5 /0 2,32> 2>4,B> -+4/5,>5F f-0>5/3 5/</5,.>3 - .,34,+4-3 )8>*-3 ./0 /D/5*,*,>F

3) R-3 *>28-5-*,>+/3 /+45/ /34-.>3 <,+-+*,/5>3 5/3:04-+ .,34>53,>+-.>3F 7+ *>+3/*:/+*,- 8-5- -+-0,O-5

/+ 4)52,+>3 @>2>=)+/>3 0-3 *,<5-3 ./ 0>3 /34-.>3 <,+-+*,/5>39 /3 +/*/3-5,> -D:34-5 .,*@-3 *,<5-3 - 3:

 B/5.-./5> B-0>5F

Page 66: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 66/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) &&

7+ K@,0/9 /0 2/*-+,32> ./ -D:34/ 3/ /</*4b- 2/.,-+4/ /0 3,34/2- ./ *>55/**,6+ 2>+/4-5,-F

&O Je*EHE H( O1 GE//(GG+,- JE-(*1/+1 I'( +-GE/TE/1HE 1 O1 O(S+)O1G+,- */+X'*1/+1 GU+O(-E 1

*/10e) H(O 6/*gG'OE K3N H(O $(G/(*E 8(F #k [AK H(O D3\3A\3^YK;

V;D  $&L"#"%"@#2 

73 :+- 5/=:0-5,O-*,6+ A:/ -</*4- - 4>.>3 0>3 *>+45,C:;/+4/3 ./ 85,2/5- *-4/=>5Q- A:/ ./*0-5-+ 3:3

5/+4-3 /</*4,B-3 2/.,-+4/ C-0-+*/F

V;K  % 6=6%5&=W:5"%6: 

1) 70 -D:34/ /3 >C0,=-4>5,> 8-5- 4>.>3 0>3 *>+45,C:;/+4/3 ./ M5,2/5- K-4/=>5Q- A:/ ./*0-5-+ 3:3 5/+4-3

/</*4,B-3 2/.,-+4/ C-0-+*/F2) 70 -D:34/ /3 8/52-+/+4/9 ./C/ -80,*-53/ /+ *-.- /D/5*,*,> *>2/5*,-0F

3) Z280,*- :+- 2>.,<,*-*,6+ ./0 5/3:04-.> +/4>F R- *>55/**,6+ 2>+/4-5,- 8:/./ 3/5 <-B>5-C0/ >

./3<-B>5-C0/9 ./8/+.,/+.> 3, 3: 3-0.> /3 -*5//.>5 > ./:.>5F

4) 1.>84- 2/*-+,32>3 2b04,80/3 8-5- -*4:-0,O-5 0-3 .,</5/+4/3 8-54,.-3F

V;Q  %86:"L"%6%"@# $& .6=5"$6: 

V;Q;3  . 6=5"$6: <4#&56="6: 

W>+ -A:/00-3 A:/ /34?+ /U8:/34-3 - 0- ,+<0-*,6+9 4,/+./+ - 8/5./5 3: B-0>5F N> ./C/+ 5/-D:34-53/F

7D/280>a

K-D-

K:/+4- *>55,/+4/ C-+*-5,-

K5).,4>3 +> 5/-D:34-C0/3

`/:.-3 +> 5/-D:34-C0/3

Page 67: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 67/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) &I

V;Q;A  . 6=5"$6: #4 <4#&56="6: 

W>+ -A:/00-3 A:/ +> /34?+ /U8:/34-3 - 0- ,+<0-*,6+9 8>5A:/ 2-+4,/+/+ 3: B-0>5 5/-0F

K>2> 0- *>+4-C,0,.-. 360> @- 5/=,345-.> 0>3 B-0>5/3 @,3465,*>39 3/ +/*/3,4- -*4:-0,O-5 0-3 8-54,.-3 +>

2>+/4-5,-3 8-5- /U85/3-50-3 /+ 3: B-0>5 5/-0F

7D/280>a

 1*4,B> <,D> <Q3,*> / ,+4-+=,C0/

7U,34/+*,-3

K5).,4>3 ; >C0,=-*,>+/3 5/-D:34-C0/3

M-45,2>+,>

V;V   6  B>:5&: Para hacer los ajustes se utiliza la cuenta: ―corrección monetaria‖, que es una cuenta de resultado, se

*0-3,<,*- *>2> ,+=5/3>3 > /=5/3>3 <:/5- ./ /U80>4-*,6+9 8>5 0> 4-+4>9 0>3 *-5=>3 ; -C>+>3 A:/ 3/ 0/ @-=-+

-</*4-+ 0- :4,0,.-. +/4- ./ 0- /285/3-F

V;V;3   6 :"&#54: $& 6  B>:5&: 

`7S7 J1S7d  1K(Zfe Ne _eN7(1dZe   lll 

Kedd7KKZeN_eN7(1dZ1 lll  

Kedd7KKZeN _eN7(1dZ1 kkk  M1WZfe Ne_eN7(1dZe kkk  

`7(1RR7

 

M>5 0> 4-+4>a

W, 1*4,B>3 _>+/4-5,>3 i M-3,B>3 _>+/4-5,>3   M)5.,.-3 8>5 ,+<0-*,6+

W, 1*4,B>3 _>+/4-5,>3 j M-3,B>3 _>+/4-5,>3

  \4,0,.-./3 8>5 ,+<0-*,6+W, 1*4,B>3 +> _>+/4-5,>3 i M-3,B>3 +> _>+/4-5,>3   \4,0,.-./3 8>5 ,+<0-*,6+

W, 1*4,B>3 +> _>+/4-5,>3 j M-3,B>3 +> _>+/4-5,>3   M)5.,.-3 8>5 ,+<0-*,6+

Page 68: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 68/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) &c

V;Y  <&%6#":<4: $& %4==&%%"@# <4#&56="6 6.8"%6$4: 

V;Y;3  W#$"%& $& .=&%"4: 68 %4#:><"$4=  

W/ :4,0,O- 8-5- -D:34-5a

u /0 *-8,4-0 85>8,>u /0 -*4,B> <,D>

u /0 -*4,B> ,+4-+=,C0/

u 0-3 ,+B/53,>+/3 /+ 3>*,/.-./3

u 0-3 /U,34/+*,-3 ]/+ *,/54>3 *-3>3[

K-8,4-0 M5>8,> Z+,*,-0

 1:2/+4>3 ./ K-8,4-0

`,32,+:*,>+/3 ./ K-8,4-0

S,/+/3 ^Q3,*>3 ./0 1*4,B> Z+2>B,0,O-.> ]^,D>[9

/+ /U,34/+*,- - 0- </*@- ./0 C-0-+*/a

M5>B/+,/+4/3 ./0 /D/5*,*,> -+4/5,>5

E \04,2> .Q- ./0 3/=:+.> 2/3 -+4/5,>5 -0 ./

,+,*,-*,6+ ./0 /D/5*,*,>9 ; b04,2> .Q- ./0 2/3

-+4/5,>5 -0 ./0 *,/55/ C-0-+*/F

 f-5,-*,6+ ZFMFKF >*:55,.- /+45/a

E \04,2> .Q- ./0 2/3 -+4/5,>5 -0 ./0 -:2/+4>9 ;

b04,2> .Q- ./0 2/3 -+4/5,>5 -0 ./0 *,/55/

C-0-+*/F

 f-5,-*,6+ ZFMFKF >*:55,.- /+45/a

E \04,2> .Q- ./0 2/3 -+4/5,>5 -0 ./0 5/4,5>9 ;

b04,2> .Q- ./0 2/3 -+4/5,>5 -0 ./0 *,/55/

C-0-+*/F

 f-5,-*,6+ ZFMFKF >*:55,.- /+45/a

E \04,2> .Q- ./0 3/=:+.> 2/3 -+4/5,>5 -0 ./

,+,*,-*,6+ ./0 /D/5*,*,>9 ; b04,2> .Q- ./0 2/3

-+4/5,>5 -0 ./0 *,/55/ C-0-+*/F

Page 69: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 69/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) &H

 1.A:,5,.>3 .:5-+4/ /0 /D/5*,*,>

 1.A:,5,.>3 *>+ *5).,4>3 /+ 2>+/.- /U45-+D/5-

> 5/-D:34-C0/3a

 1280,-*,>+/3 > 2/D>5-3 /</*4:-.-3 /+ /0 *:53>

./0 /D/5*,*,> A:/ -:2/+4/+ /0 B-0>5 ./ 0>3

C,/+/3 ./0 -*4,B> ,+2>B,0,O-.> ]^,D>[F

 f-5,-*,6+ ZFMFKF >*:55,.- /+45/a

E \04,2> .Q- ./0 2/3 -+4/5,>5 -0 ./ -.A:,3,*,6+

./0 C,/+9 ; b04,2> .Q- ./0 2/3 -+4/5,>5 -0 ./0

*,/55/ C-0-+*/F

s./2 - 85>B/+,/+4/3 ./0 /D/5*,*,> -+4/5,>5 >

-.A:,5,.>3 .:5-+4/ /0 /D/5*,*,>F

]R-3 .,</5/+*,-3 ./ *-2C,> > /0 2>+4> ./ 0>3

5/-D:34/39 8-=-.>3 > -./:.-.>39 3/ *-5=-+ - 0>3

5/3:04-.>3 ./0 /D/5*,*,>[F

 f-5,-*,6+ ZFMFKF >*:55,.- /+45/a

E \04,2> .Q- ./0 2/3 -+4/5,>5 - -A:/0 /+ A:/ 3/

/</*4b> 0- -280,-*,6+ > 2/D>5-9 ; b04,2> .Q-

./0 2/3 -+4/5,>5 -0 ./0 *,/55/ C-0-+*/F

`/5/*@>3 ./ R0-B/9 M/54/+/+*,-3 ;

K>+*/3,>+/3 _,+/5-39 `/5/*@>3 ./^-C5,*-*,6+9 `/5/*@>3 ./ _-5*-9 M-4/+4/3 ./

Z+B/+*,6+ ; `/5/*@> ./ \3:<5:*4>9

M1L1`eW 7^7K(Zf1_7N(7F

 f-0>5/3 85>B/+,/+4/3 ./0 /D/5*,*,> -+4/5,>5F

 f-0>5/3 M1L1`eW /+ /0 /D/5*,*,>F

L-34>3 ./ e5=-+,O-*,6+ ; M:/34- /+ _-5*@- ;

L-34>3 ; K>34>3 8/+.,/+4/3 - 0- </*@- ./0

C-0-+*/9 A:/ `7S1N W7d `Z^7dZ`eW 1

7q7dKZKZeW MeW(7dZed7WF

W/ -80,*-+ 0-3 2,32-3 +>52-3 /34-C0/*,.-3 8-5-

0>3 C,/+/3 ./0 1*4,B> ^,D>F

Page 70: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 70/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) IP

V;Y;3;3  5/1*1J+(-*E H( O1) L/1GG+E-() H( <()R- *>55/**,6+ 2>+/4-5,- +> *>+3:04- 2/*-+,32> -0=:+> ./ -D:34/3 8>5 .Q-39 3,+> A:/ 8>5 2/3/3

*>280/4>3F

M>5 /D/280>a >8/5-*,6+ >*:55,.- /0 % ./ _-;> 3/ -*4:-0,O- 8>5 0- B-5,-*,6+ *>285/+.,.- /+45/ /0

#P ./ 1C5,0 ; /0 #P ./ N>B,/2C5/F

\+- /U*/8*,6+9 -0 85>*/.,2,/+4> ./ ./3/*@-5 0-3 <5-**,>+/3 ./ 2/3 > 5/.>+./-5 -0 2/3

,+2/.,-4-2/+4/ ,+</5,>59 /3 0- A:/ 3/ 85/3/+4- *:-+.> 3/ 45-4- ./ 0- -*4:-0,O-*,6+ ./ :+- 8-54,.-9 A:/ 3/

registra al momento de iniciación de actividades de una empresa. En este caso se reajusta ―de acuerdo*>+ /0 8>5*/+4-D/ ./ B-5,-*,6+ /U8/5,2/+4-.> /+ /0 8/5Q>.> *>285/+.,.> /+45/ /0 b04,2> .Q- ./0 3/=:+.>

mes anterior al de inicio del ejercicio y el último día del mes anterior al del cierre de balance‖. 

7D/280>a \+- /285/3- ,+,*,- 3:3 -*4,B,.-./3 /0 G% ./ _-;>9 0- B-5,-*,6+ ./0 ZFMFKF A:/ ./C/ -80,*-53/ /3

0- *>285/+.,.- /+45/ #P ./ _-5O> ; /0 #P ./ N>B,/2C5/F

 f-0>5/3 85>B/+,/+4/3 ./0 /D/5*,*,> -+4/5,>5F

W:2-3 8-=-.-3 .:5-+4/ /0 /D/5*,*,>

 1KKZeN7W ./ W>*,/.-./3 1+6+,2-3

M5>B/+,/+4/3 ./0 ,+B/+4-5,> -+4/5,>59 ;

R-3 -.A:,5,.-3 .:5-+4/ /0 /D/5*,*,>

W/ -80,*-+ 0-3 2,32-3 +>52-3 /34-C0/*,.-3 8-5-

0>3 C,/+/3 ./0 1*4,B> ^,D>F

 1Med(7W 1 WeKZ7`1`7W `7

M7dWeN1Wa

M5>B/+,/+4/3 ./0 ,+B/+4-5,> -+4/5,>5

7</*4:-.-3 .:5-+4/ /0 /D/5*,*,>F

W/ -80,*-+ 0-3 2,32-3 +>52-3 /34-C0/*,.-3 8-5-

0>3 C,/+/3 ./0 1*4,B> ^,D>F

Page 71: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 71/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) IG

V;Y;A  5".4 $& % 6<7"4 

W/ :4,0,O- 8-5- *>55/=,5a

u 2>+/.- /U45-+D/5-

u >5>

u *5).,4>3 A:/ 3/ @-;-+ 8-*4-.> /+ 2>+/.- /U45-+D/5-F

7U,34/+*,-3 ./ _eN7`1W 7l(d1Nq7d1W

; ./ _eN7`1W `7 edeF

W/ -D:34-+ -0a

 f1Red `7 Ke(Zp1KZeNF

 (,8> *>285-.>5 - 0- </*@- ./0 C-0-+*/F`/ -*:/5.> -0 *-2C,> A:/ *>55/38>+.- -0

2/5*-.> > ?5/- /+ /0 A:/ 0/=-02/+4/ ./C-+

0,A:,.-53/F

`7\`1W \ eSRZL1KZeN7W /+

_eN7`1 7l(d1Nq7d19 /U,34/+4/3 - 0-

</*@- ./0 C-0-+*/F

W/ 5/-D:34-+ -0 f1Red `7 Ke(Zp1KZeN

`7 R1 d7WM7K(Zf1 _eN7`1

7l(d1Nq7d1 1 R1 ^7KJ1 `7R

S1R1NK7F

Kd7`Z(eW e `7d7KJeW 7N _eN7`1

7l(d1Nq7d19 /U,34/+4/3 - 0- </*@- ./0

C-0-+*/F

W/ -D:34-+ 1R f1Red `7 Ke(Zp1KZeN

`7 R1 d7WM7K(Zf1 _eN7`1

7l(d1Nq7d1F

Page 72: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 72/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) I!

V;Y;D  = &6B>:5& . 6%56$4 

W/ :4,0,O- ;- 3/- 8-5- ./863,4>3 > *5).,4>3 /+ <-B>5 > /+ *>+45- A:/ 3/ @-;-+ -*>5.-.> ./ -*:/5.>

- -0=b+ 2/*-+,32> ./ 5/-D:34/9 8>5 /D/280>a \^9 \(_9 ZM_9 Q+.,*/3 B-5,>3F

V;Y;K  %4:54 $& = &.4:"%"@# 

W/ :3- 8-5- 0-3 /U,34/+*,-39 ; *>+4/280- .,34,+4-3 3,4:-*,>+/3 - -+-0,O-5a

S,/+/3 ^Q3,*>3 ./0 1*4,B> 5/-0,O-C0/9

]2/5*-./5Q-3[9 -.A:,5,.>3 /+ /0 _7dK1`e

N1KZeN1Ra

K>+ -.A:,3,*,>+/3 /+ /0 3/=:+.> 3/2/345/ ./0

/D/5*,*,>F

%4:54 $& =&.4:"%"4#2 M5/*,> \04,2-

^-*4:5- ./ 0>3 ./ 3: 2,32> =)+/5>9 *-0,.-. >

*-5-*4/5Q34,*-39 /0 *:-0 Ne 8>.5? 3/5 ,+</5,>5 -0

2?3 -04> ./0 /D/5*,*,>F

K>+ -.A:,3,*,>+/3 WeRe /+ /0 85,2/53/2/345/ ./0 /D/5*,*,>F

%4:54 $& =&.4:"%"4#2  M5/*,> 2?3-04> A:/ <,=:5- /+ 0>3 5/38/*4,B>3 .>*:2/+4>3

./ *>285- 5/-D:34-.> 8>5 0- B-5,-*,6+F

 f-5,-*,6+ ZFMFKF >*:55,.- /+45/a

E \04,2> .Q- ./0 3/=:+.> 2/3 -+4/5,>5 -0

3/=:+.> 3/2/345/9 ; b04,2> .Q- ./0 2/3

-+4/5,>5 -0 ./0 *,/55/ ./0 /D/5*,*,>

*>55/38>+.,/+4/F

Page 73: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 73/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) I#

M5>B/+,/+4/3 ./0 /D/5*,*,> -+4/5,>5F WZN

*>285-3 /+ /0 -V> *>55/38>+.,/+4/a

%4:54 $& =&.4:"%"4#2  f-0>5 0,C5>39

5/-D:34-.> 8>5 0- f-5,-*,6+ ZFMFKF >*:55,.-

/+45/a

E \04,2> .Q- ./0 3/=:+.> 2/3 -+4/5,>5 -0 ./

,+,*,-*,6+ ./0 /D/5*,*,>9 ; b04,2> .Q- ./0 2/3

-+4/5,>5 -0 ./0 *,/55/ ./ .,*@> /D/5*,*,>F

S,/+/3 ^Q3,*>3 ./0 1*4,B> d/-0,O-C0/9

-.A:,5,.>3 /+ /0 _7dK1`e

7l(d1Nq7deF

K>+ ,+4/5+-*,>+/3 .:5-+4/ /0 W7L\N`e

W7_7W(d7 7R 7q7dKZKZeF

K>+ ,+4/5+-*,>+/3 /+ /0 MdZ_7d

W7_7W(d7 7R 7q7dKZKZeF

M5>B/+,/+4/ ./0 7q7dKZKZe 1N(7dZed9

WZN Z_Med(1KZeN7W ./ 0-3 ./ 3: 2,32>

=)+/5>9 *-0,.-. > *-5-*4/5Q34,*-39 .:5-+4/ /0

/D/5*,*,> *>2/5*,-0 *>55/38>+.,/+4/F

%4:54 $& =&.4:"%"4#2  f-0>5 ./ 0-

\R(Z_1 Z_Med(1KZeNF ]1A:/00- 8>5 0-

*:-0 3/ @-+ 8-=-.> 0>3 ./5/*@>3 ./

,+4/5+-*,6+ ; 3/ /+*:/+45- /+ *>+.,*,>+/3 ./

3/5 ,+=5/3-.-3 0,C5/2/+4/ -0 8-Q3[F

%4:54 $& =&.4:"%"4#2  f-0>5 ./ 0-

\R(Z_1 Z_Med(1KZeN9 5/-D:34-.> /+ 0-

 f1dZ1KZeN /U8/5,2/+4-.- 8>5 /0 (ZMe

`7 K1_SZe `7 R1 d7WM7K(Zf1

_eN7`1 7l(d1Nq7d19 /+ /0 3/=:+.>

3/2/345/ ./0 /D/5*,*,>F

%4:54 $& =&.4:"%"4#2  f-0>5 R,C5>9

5/-D:34-.> 3/=b+ /0 8>5*/+4-D/ ./

 f1dZ1KZeN /U8/5,2/+4-.> 8>5 /0 (ZMe

`7 K1_SZe `7 R1 d7WM7K(Zf1

_eN7`1 7l(d1Nq7d19 .:5-+4/ /0

/D/5*,*,>F

Page 74: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 74/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) I$

_/5*-./5Q-3 ; _-4/5,-3 M5,2-3

Z_Med(1`1W9 A:/ - 0- </*@- ./0 C-0-+*/ 3/

/+*:/+45-+ 7N (d1NWZ(eF

M5>.:*4>3 4/52,+-.>3 > /+ 85>*/3>

W/ 5/B-0>5,O- *-.- ./3/2C>03> /+ /0 8>5*/+4-D/

./ B-5,-*,6+ /U8/5,2/+4-.> 8>5 0-

d7WM7K(Zf1 _eN7`1 7l(d1Nq7d19

/+45/ 0- </*@- ./ 3: /5>=-*,6+ ; 0- ./0 *,/55/

./0 C-0-+*/F

KeW(e `7 d7MeWZKZeN _-4/5,- M5,2-a

W/ -80,*-+ 0-3 2,32-3 +>52-3 /34-C0/*,.-3 8-5-

0-3 2/5*-./5Q-3 +-*,>+-0/3 > ,28>54-.-39 3/=b+

*>55/38>+.-F

_-+> ./ >C5-a

W/ B-0>5,O- -0 B-0>5 ./ 0- Jed1 Je_Sd7

`7R \R(Z_e _7W `7 Mde`\KKZeNF

Page 75: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 75/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) I%

Y  &:56$4: L"#6#%"&=4: 7 9:"%4: 

Y;3  7 686#%& 

Y;3;3  $&L"#"%"@# 

7+ =/+/5-0 /3 :+ *:-.5> 5/3:2/+9 A:/ 2:/345- 0>3 3-0.>3 ./ 4>.-3 0-3 *:/+4-3 ./0 3,34/2- *>+4-C0/9

3/V-0-+.> 0>3 5/*:53>3 ./ A:/ .,38>+/ :+- /285/3- ; 3: 3,4:-*,6+ 5/38/*4> - 3:3 85>B//.>5/3F 

70 C-0-+*/9 3, C,/+ /3 0- *:02,+-*,6+ ./0 85>*/3> ./ 5/=,345> ./ 0- ,+<>52-*,6+ *>+4-C0/9 4-2C,)+ 3,5B/

*>2> 8:+4> ./ 8-54,.- 8-5- /B-0:-5 0- =/34,6+ ./ 0-3 /285/3-39 85,+*,8-02/+4/

`/3./ /0 8:+4> ./ B,34- ./ 3: <,+-+*,-2,/+4>9 3>0B/+*,- ; 0,A:,./OF

GFE &O I+-1-G+1J+(-*E 3/ 5/0-*,>+- *>+ 0- <>52- ./ >C4/+/5 0>3 5/*:53>3 /*>+62,*>3F!FE 81 )EO0(-G+1 .,*/ 5/0-*,6+ *>+ 0- *-8-*,.-. ./ 8-=> ./ 3:3 *>285>2,3>3 A:/ 4/+=- 0- /285/3-F

#FE 81 O+f'+H(i 3/ 5/0-*,>+- *>+ 0- *-8-*,.-. A:/ 4/+=-+ 0>3 -*4,B>3 8-5- 45-+3<>52-53/ /+ .,+/5> /</*4,B>F

Y;3;A  8"<"56%"4#&: $& 84: 7686#%&: 

GFE `-.> A:/ 5/85/3/+4-+ /0 /34-.> ./ :+- /285/3- /+ :+ 2>2/+4> ./4/52,+-.> ./0 4,/28>9 *>+34,4:;/+

:+ ,+345:2/+4> ./ *-5?*4/5 /34?4,*>9 /+ A:/ +> 3/ .,*/ 2:*@> 5/38/*4> - 0- <>52- ./ *>2> 3/ @-

00/=-.> - *-.- 3-0.>F

!FE \+- 0,2,4-*,6+ 85>8,- ./ 0- *>+4-C,0,.-. /3 A:/ 3>0> 3/ 8:/./+ 5/<0/D-5 /+ 0>3 C-0-+*/3 -A:/00-3

>8/5-*,>+/3 A:/ 3/ 8:/.-+ B-0>5,O-5 /+ .,+/5>F

#FE R>3 C-0-+*/3 360> 3>+ *:-.5>3 ./ *-5?*4/5 @,3465,*>3 ./ 0> A:/ @- 3,.> 0- =/34,6+ ./ :+- /285/3-9

8/5> /+45/=- 2:; 8>*- ,+<>52-*,6+ 5/38/*4> - 0> A:/ 3/5? 0- /285/3- - <:4:5>F

Y;3;D  &:_>&<6: $& .=&:&#56%"@# $& 84: 7686#%&: 

 18-54/ ./0 C-0-+*/ ./ *>285>C-*,6+ ; 3-0.>39 A:/ 4,/+/ *>2> >CD/4,B> 85,+*,8-0 /0 *>+45>09 /U,34/+

>45>3 /3A:/2-3 ./ 85/3/+4-*,6+ ./ 0>3 C-0-+*/39 *:;> >CD/4,B> 85,+*,8-0 85>8>5*,>+-5 ,+<>52-*,6+9 ;- 3/- -

,+34,4:*,>+/3 =:C/5+-2/+4-0/39 - 0>3 3>*,>39 > -0 8bC0,*> /+ =/+/5-0F

R>3 3,=:,/+4/3 3>+ 0>3 85,+*,8-0/3 /3A:/2-3 ./ 85/3/+4-*,6+ ./ 0>3 C-0-+*/3a

Page 76: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 76/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) I&

 6G*+0E)2 .1)+0E)2%E//+(-*( %E//+(-*(

^,+-+*,/5> eC0,=-*,>+/3 - *>54> 80-O>

7U,34/+*,-3 M5>B,3,>+/3e45>3

#E %E//+(-*(^Q3,*>   #E %E//+(-*(e45>3

.1*/+JE-+EK-8,4-0d/3/5B-3d/3:04-.> ./0 /D/5*,*,>

Y;3;D;3  7 686#%& 5="7>56="4N 5 67>86$4 $& 4%c4 %48><#6: 

734/ /3 :+ *:-.5> /U,=,.> 8>5 /0 3/5B,*,> ./ ,28:/34>3 ,+4/5+>3 8-5- 0- ./*0-5-*,6+ -+:-0 ./

,28:/34> - 0- 5/+4- ./ 85,2/5- *-4/=>5Q-F

7+ 4)52,+>3 =/+/5-0/39 :+ C-0-+*/ 45,C:4-5,> ,+*0:;/ 0-3 *:/+4-3 ./ 8-45,2>+,>9 :+ C-0-+*/ ./*>285>C-*,6+ ; 3-0.>3 ; /0 /34-.> ./ 5/3:04-.>3F

Y;3;D;A  7 686#%& L"#6#%"&=4 

7+ /34/ *-3>9 0-3 *:/+4-3 ./ -*4,B> 3/ *0-3,<,*-+ ./ 2-;>5 - 2/+>5 =5-.> ./ 0,A:,./O9 ; 0-3 *:/+4-3

./ 8-3,B> 3/ 85/3/+4-+ ./ 2-;>5 - 2/+>5 =5-.> ./ /U,=,C,0,.-.F

734/ <>52-4> 8/52,4/ B,3:-0,O-5 <?*,02/+4/9 4-+4> 0-3 >C0,=-*,>+/3 /U,34/+4/39 /+ 2>+4>3 ; 80-O>39

*>2> 0>3 5/*:53>3 ./ A:/ 3/ .,38>+/ 8-5- @-*/5 <5/+4/ - 0-3 >C0,=-*,>+/3F

Y;3;D;A;3  &:_>&<6 $& %86:"L"%6%"@# Z .=&:&#56%"@# :"<.8"L"%6$4 

Page 77: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 77/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) II

 6G*+0E)2 .1)+0E)2

$+)TE-+XO( &j+S+XO(K-D- `/ *>54> 80-O>S-+*> `/ 0-5=> 80-O>

=(1O+i1XO( 5/1-)+*E/+EZ+B/53,>+/3 <?*,0 0,A:,.-5 Z+=5/3>3 -+4,*,8-.>37U,34/+*,-3K:/+4-3 8>5 *>C5-5 - *F8F #E (j+S+XO(K:/+4-3 8>5 *>C5-5 - 0F8F K-8,4-0

d/3/5B-3 3>*,-0/3 5/1-)+*E/+E   d/3/5B-3 0/=-0/3L-34>3 -+4,*,8-.>3

"-JE0+O+i1HE   \4,0,.-. ./0 7D/5*,*>7.,<,*,>3

 (/55/+>3_-A:,+-5,-3

#EJ+-1O`/5/*@>3 ./ 00-B/3

Y;3;D;D  7 686#%& L"#6#%"&=4 6 85&=#65"C4 

734/ 3/ 5,=/ 8>5 0>3 2,32>3 *5,4/5,>3 A:/ /0 -+4/5,>59 8/5> 0-3 *:/+4-3 3/ -=5:8-+ C-D> 0-3

./+>2,+-*,>+/3 A:/ 3/ 4/+Q-+ -+4/3 ./ 0-3 +>52-3 ./ 0- 3:8/5,+4/+./+*,- ./ 3>*,/.-./3 -+6+,2-39 C>03-3

./ *>2/5*,> ; *>28-VQ-3 ./ 3/=:5>3F

Y;3;D;D;3  &:_>&<6 $& %86:"L"%6%"@# Z .=&:&#56%"@# :"<.8"L"%6$4 

Page 78: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 78/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) Ic

=()'O*1HE ET(/1G+E-1O2

Z+=5/3>3 ./ /U80>4-*,6+]2/+>3[   K>34> ./ 0- <:+*,6+ /U80>4-*,6+

=()'O*1HE 7/'*E

]2/+>3[ K>34> ./ 0- <:+*,6+ B/+4-3]2/+>3[ K>34> ./ 0- <:+*,6+ -.2,+,345-4,B-

=()'O*1HE 4T(/1G+E-1O

=()'O*1HE -E ET(/1G+E-1O2

Z+=5/3>3 <:/5- ./ /U80>4-*,6+ ]2/+>3[ 7=5/3>3 <:/5- ./ /U80>4-*,6+

=()'O*1HE -E 4T(/1G+E-1O

=()'O*1HE 4T(/1G+E-1O]2?3[   =()'O*1HE -E 4T(/1G+E-1O

=()'O*1HE H(O &P(/G+G+E

Y;3;D;K  %>&#56: $& 4=$&# 

W/ 5/=,345- 0- ,+<>52-*,6+ A:/9 8>5 3: +-4:5-0/O-9 +> -</*4- .,5/*4-2/+4/ 0>3 /34-.>3 <,+-+*,/5>39

8/5> 8>5 0> A:/ 5/85/3/+4-+ /3 ,28>54-+4/ 2>345-5 0>3 5/=,345>3 8-5- :+- 2-;>5 ,+<>52-*,6+F

e5./+ ./C/a 3/ 5/=,345-+ 0>3 2>+4>3 A:/ 0- /285/3- @- =-5-+4,O-.> > @- -B-0-.>9 8>5 /D/280>aC>0/4-3 /+ =-5-+4Q-9 0/45-3 ./3*>+4-.-3 /+ =-5-+4Q-9 2/5*-./5Q-3 /+ *>+3,=+-*,6+F

e5./+ @-C/5a 3/ 5/*>+>*/ /U80Q*,4-2/+4/ 0- 5/38>+3-C,0,.-. 8>5 0-3 =-5-+4Q-3 >4>5=-.-39 8>5

/D/280>a 5/38>+3-C,0,.-. 8>5 C>0/4-3 /+ =-5-+4Q-9 5/38>+3-C,0,.-. 8>5 0/45-3 ./3*>+4-.-3 /+ =-5-+4Q-9

5/38>+3-C,0,.-. 8>5 2/5*-./5Q-3 /+ *>+3,=+-*,6+F

Y;A  &:56$4 $& = &:>856$4: 

Y;A;3  &:_>&<6 2

Page 79: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 79/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) IH

Y;A;3;3;3  & B&<.84: $& %>&#56: $&8 &:56$4 $& =&:>856$4: 

%E)*E H( O1 I'-G+,- (jTOE*1G+,-2

_-4/5,-3 85,2-3

_-4/5,-0/3 .,5/*4>3M,/O-3 ; 8-54/3

Z+3:2>3

K>2C:34,C0/3

_-+> ./ >C5- .,5/*4- ./ /U80>4-*,6+

`/85/*,-*,>+/3 ./ *>+345:**,>+/3 ,+.:345,-0/39 2/.,>3 ./ 45-+38>54/ ; 2-A:,+-5,- ,+4/=5-.-3 - 0-

/U80>4-*,6+F

%E)*E H( O1 I'-G+,- 0(-*1)2_-4/5,-0/3 ,+4/=5-.>3 - 0- <:+*,6+ B/+4-

 (5-+38>54/

W/5B,*,>3 85/34-.>3 - 0- <:+*,6+ B/+4-3

_-+> ./ >C5- ,+4/=5-.- - 0- *>2/5*,-0,O-*,6+

`/85/*,-*,>+/3 ./ *>+345:**,>+/3 *>2/5*,-0/39 2/.,>3 ./ 45-+38>54/ ; 2-A:,+-5,- ./ B/+4-3

L-34>3 ./ B/+4-3

K5).,4>3 ,55/*:8/5-C0/3

_:04-39 5>C>39 8)5.,.-3 ./ 34>*|3F

%E)*E H( O1 I'-G+,- 1HJ+-+)*/1*+012

_-4/5,-0/3 ,+4/=5-.>3 - 0- <:+*,6+ -.2,+,345-4,B-

 (5-+38>54/3

W/5B,*,>3 85/34-.>3 - 0- <:+*,6+ -.2,+,345-4,B-

_-+> ./ >C5- ,+4/=5-.- - 0- <:+*,6+ -.2,+,345-4,B-

`/85/*,-*,>+/3 ./ *>+345:**,>+/39 2/.,>3 ./ 45-+38>54/

_:/C0/3 ; b4,0/3

"-S/()E) I'(/1 H( (jTOE*1G+,-2

`,</5/+*,- /+ B/+4-3 ./ C,/+/3 ./0 -*4,B> <,D> ]h o E[

Z+4/5/3/3 ; .,B,./+.>3 /+ /285/3-3 ./ *>280/2/+4-*,6+ ,+.:345,-0/3 ; <,0,-0/3F

Page 80: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 80/312

Page 81: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 81/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) cG

#F •/+ A:) 3/ :4,0,O6 /0 -:2/+4> ./ *-8,4-0€

$F •A:) ./34,+> 3/ 0/ .,> - 0-3 =-+-+*,-3€

%F •8:/./ -:2/+4-5 /0 *-8,4-0 ./ /U80>4-*,6+ *:-+.> 3/ 4,/+/+ 8/5.,.-3 /+ /0 /D/5*,*,>€

M-5- /</*4>3 ./ /34/ -+?0,3,39 0>3 '<>+.>3' +> ./C/+ /+4/+./53/ *>2> 3,+6+,2>3 ./ '.,+/5>'9 3,+>A:/ *>2> *-8,4-0 ./ 45-C-D>9 8-5- 0> *:-0 3/ 5/A:,/5/ *>+4-5 *>+ .>3 C-0-+*/3 *>+3/*:4,B>39 /+ 2>+/.- ./

,=:-0 B-0>5 -.A:,3,4,B>F

Y;D  L>&#5&: $& L4#$4: 

Y;D;3  L4#$4: .=4.4=%"4#6$4: .4= 86: 4.&=6%"4#&: 

7+ /34/ *-3>9 ./C/ -D:34-53/ /0 B-0>5 +/4> /+45/=-.> 8>5 /0 /34-.> ./ 8)5.,.-3 ; =-+-+*,-3F W/ 0/

3:2-9 -0 5/3:04-.> +/4>9 0>3 =-34>3 A:/ +> 3>+ ./ *-8,4-0 ./ 45-C-D>X 8>5 /D/280>9 ./85/*,-*,6+9

-2>54,O-*,6+ ; 8)5.,.- /+ B/+4- ./ -*4,B>3 <,D>3F 

W/ 0/ 5/34-9 -0 5/3:04-.> +/4>9 0>3 ,+=5/3>3 A:/ +> 3>+ ./ *-8,4-0 ./ 45-C-D>X 8>5 /D/280>9 =-+-+*,-3

/+ B/+4- ./ -*4,B>3 <,D>3F

Y;D;A  $":<"#>%"@# $& 6%5"C4: #4 %"=%>86#5&: 

R- B/+4- ./ -*4,B>3 <,D>39 > ,+B/53,>+/3 - 0-5=> 80-O>9 *>+34,4:;/+ <:/+4/3 ./ <>+.>39 A:/ -:2/+4-+

/0 *-8,4-0 ./ 45-C-D>F

Y;D;D   6 ><&#54 $& .6:"C4: #4 %"=%>86#5&: 

R-3 /2,3,>+/3 ./ >C0,=-*,>+/3 - 0-5=> 80-O>9 *>2> C>+>3 8>5 8-=-59 > 8-=-5/3 - 0-5=> 80-O>9

*>+34,4:;/+ <:/+4/3 ./ <>+.>3 A:/ -:2/+4-+ /0 *-8,4-0 ./ 45-C-D>F

Y;D;K   6 ><&#54 $&8 %6."568N 4 6.4=5& $& 84: 6%%"4#":56: 

R>3 +:/B>3 -8>54/3 ./ 0>3 .:/V>3 *>+34,4:;/+ <:/+4/3 ./ <>+.>39 A:/ -:2/+4-+ /0 *-8,4-0 ./

45-C-D>F

Y;K 

>:4: $& L4#$4:

 

Y;K;3   6 ><&#54: $& 6%5"C4: #4 %"=%>86#5&: 

R- -.A:,3,*,6+ ./ 85>8,/.-./39 /A:,8>39 ,+B/53,>+/3 - 0-5=> 80-O>9 5/.:*/+ /0 *-8,4-0 ./ 45-C-D>F

Y;K;A  $":<"#>%"@# $& .6:"C4: #4 %"=%>86#5&: 

R- *-+*/0-*,6+ ./ >C0,=-*,>+/3 - 0-5=> 80-O>9 8>5 /D/280>9 5/.:*/ /0 *-8,4-0 ./ 45-C-D>F

Page 82: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 82/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) c!

%'(-*1) d dq3 L'(-*() >)E)

K-D- %GP !IP !$P

Z+B/53,>+/3 *>54> 80-O> #PP !P !cP

K:/+4-3 8>5 *>C5-5 &!P HIP #%P

7U,34/+*,-3 G9!%P !9GGP c&P

Z+<5-/345:*4:5- C5:4- !9!%P $9%PP !9!%P

`/85/*,-*,>+ -*:2:0-.- E&!P Ec%P !#P

K:/+4-3 8>5 8-=-5 &%P I$P HP

R/45-3 8>5 8-=-5 $%P HP #&P

e45-3 ./:.-3 *>54> 80-O> !GP $%P !$P

`/:.-3 - 0-5=> 80-O> !$P IcP %$P

K-8,4-0 G9G$P G9H!P IcP

\4,0,.-./3 5/4/+,.-3 G 9&!P # 9P$P G 9$!

 5E*1O() DN[A` DN[A`

Y;K;D  $":<"#>%"@# $&8 %6."568N 4 6.4=5&: $& 84: 6%%"4#":56: 

K:-+.> 0>3 .:/V>3 5/4,5-+ 3: 8-54,*,8-*,6+ /+ 0- /285/3-9 /+4>+*/3 3/ 0/3 ./C/ 8-=-59 8>5 0> 4-+4>9

.,32,+:;/ /0 *-8,4-0 ./ 45-C-D>F

&P(JTOE 1-hO+)+) ()*1HE H( G1JX+E) (- O1 TE)+G+,- I+-1-G+(/1

71O1-G() H( O1 &JT/()1; r"-0(/)+E-+)*1) <+-(/E) :;6;r

 6G*+0E) 6p4 d 6p4 dq3 .1)+0E) 6p4 d 6p4 dq3

K-D- %GP !IP K:/+4-3 8>5 8-=-5 &%P I$P

Z+B/53,>+/3 *F8F #PP !P R/45-3 8>5 8-=-5 $%P HP

K:/+4-3 8>5 *>C5-5 &!P HIP e45-3 ./:.-3 *F8F !GP $%P

7U,34/+*,-3 GF!%P !FGGP `/:.-3 - 0-5=> 8F !$P IcP

Z+<5-/345:*4:5- C5:4- !F!%P $F%PP K-8,4-0 GFG$P GFH!P`/85/*,-*,>+ -*:2:0-F E&!P Ec%P \4,0,.-./3 5/4/+F GF&!P #FP$P

 5E*1O() K;D3` Y; A` 5E*1O() K;D3 Y; A` 

W/ 3-C/ -./2?3 A:/ 0- /285/3- >C4:B> :+- :4,0,.-. +/4- ./38:)3 ./ ,28:/34>3 ./ GFc!P9 ; 8-=>

.,B,./+.>3 /+ /</*4,B> 8>5 $PPF

./(T1/1G+,- H(O ()*1HE H( G1JX+E) (- O1 TE)+G+,- I+-1-G+(/1

Page 83: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 83/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) c#

&)*1HE H( G1JX+E) (- O1 TE)+G+,- I+-1-G+(/1

&JT/()1 r"-0(/)+E-+)*1) <+-(/E) :;6;r

L'(-*() H( IE-HE) boR

`/ >8/5-*,>+/3

\4,0,.-. +/4- GFc! $%9I#

`/85/*,-*,>+ !#P %9Ic

 f/+4- ./ ,+B/53,>+/3 - *F8F !cP I9P$

 1:2/+4> ./ *:/+4-3 8>5 8-=-5 HP !9!&

 1:2/+4> ./ >45-3 ./:.-3 - *F8F !$P &9P#

72,3,6+ ./ ./:.- - 0-5=> 80-O> %$P G#9%I

 1:2/+4> ./ *-8,4-0 IcP GH9&P

 5E*1O H( I'(-*() H( IE-HE) D;^[ 3``N``

 

>)E H( IE-HE) boR

M-=> ./ .,B,./+.>3 $PP H9$c

 1:2/+4> ./ *:/+4-3 8>5 *>C5-5 #%P c9!H

 1:2/+4> ./ /U,34/+*,-3 c&P !P9#c

,32,+:*,6+ ./ 0/45-3 8>5 8-=-5 #&P c9%#

K>285- ./ ,+<5-/345:*4:5- !F!% %#9#!

 (>4-0 ./ :3>3 ./ <>+.>3 $F!! GPP9PP 

`,32,+:*,6+ ./ *-D- !$P 

Page 84: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 84/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) c$

[   6 #98":": $& =  6]4#&: 4 =  65"4: L"#6#%"&=4: 

[;3  =  6]4#&: $& 8"_>"$&] ?&#&=68 

%1T+*1O H( 5/1X1PE

=1i,- %E//+(-*(

_:/345- 0- *-8-*,.-. ./ 0- /285/3- 8-5- *:C5,5 3:3 8-3,B>3 *,5*:0-+4/3 *>+ 3:3 -*4,B>3 *,5*:0-+4/3F W:

:+,.-. ./ 2/.,.- /3 B/*/3F

./'(X1 9G+H1

_:/345- 0- *-8-*,.-. ./ 0- /285/3- 8-5- @-*/5 <5/+4/ - 0>3 8-3,B>3 *,5*:0-+4/3 *>+ 3:3 -*4,B>3 *,5*:0-+4/39

./3*>+4-+.> 0>3 5/*:53>3 2/+>3 0QA:,.>3F W: :+,.-. ./ 2/.,.- /3 B/*/3F

=1i,- 6G+Hg)+J1

_:/345- 0- *-8-*,.-. ./ 0- /285/3- 8-5- @-*/5 <5/+4/ - 0>3 8-3,B>3 *,5*:0-+4/3 *>+ 3:3 -*4,B>3 ./ 2-;>5

0,A:,./OF W: :+,.-. ./ 2/.,.- /3 B/*/3F

 1*4,B> K>55,/+4/ –  M-3,B> K>55,/+4/

 1*4,B> K,5*:0-+4/M-3,B> K,5*:0-+4/

 1*4,B> K,5*:0-+4/ –  Z+B/+4-5,>

M-3,B> K,5*:0-+4/

`,38>+,C0/ h `/863,4> - M0-O>

M-3,B> K,5*:0-+4/

Page 85: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 85/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) c%

[;A  =  6]4#&: $& 6 %5"C"$6$ 

=E*1G+,- %'(-*1) TE/ %EX/1/

M5>8>5*,>+- ,+<>52-*,6+ 3>C5/ 0- *-0,.-. ./ 0-3 *:/+4-3 8>5 *>C5-5 ./ 0- /285/3- ; A:/ 4-+ /U,4>3-2/+4/

/34- 0- /285/3- /+ 3:3 5/*-:.-*,>+/3F W: :+,.-. ./ 2/.,.- /3 B/*/3F

.(/+EHE ./EJ(H+E H( %EX/E

M5>8>5*,>+- ,+<>52-*,6+ 3>C5/ /0 +b2/5> 85>2/.,> ./ .Q-3 A:/ 0-3 *:/+4-3 8>5 *>C5-5 8/52-+/*/+

8/+.,/+4/3 ./ *>C5>F W: :+,.-. ./ 2/.,.- /3 .Q-3F

=E*1G+,- H( "-0(-*1/+E

M5>8>5*,>+- ,+<>52-*,6+ 5/38/*4> - 0- 5-8,./O *>+ 0- A:/ 3/ 5>4- /0 ,+B/+4-5,>9 -0 *>+B/54,53/ /+ *:/+4-3

8>5 *>C5-5 - 45-B)3 ./ 0-3 B/+4-3 .:5-+4/ /0 -V>F W: :+,.-. ./ 2/.,.- /3 B/*/3F

=E*1G+,- 5E*1O H( 6G*+0E)

Z+.,*- 0- /<,*,/+*,- 5/0-4,B- *>+ A:/ :+- /285/3- :4,0,O- 3:3 -*4,B>3 4>4-0/3 8-5- =/+/5-5 B/+4-3F W: :+,.-.

./ 2/.,.- /3 B/*/3F

 f/+4-3 1+:-0/3 -0 K5).,4>K:/+4-3 8>5 K>C5-5

#&% u K:/+4-3 8>5 K>C5-5 f/+4-3 1+:-0/3 -0 K5).,4>

K>34> S,/+/3 f/+.,.>3

Z+B/+4-5,> M5>2/.,>

 f/+4-3 N/4-3

 1*4,B>3 (>4-0/3

Page 86: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 86/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) c&

[;D  =  6]4#&: $& &#$&>$6<"&#54 

=1i,- H( $('H1 1 6G*+0E) 5E*1O()

`/34-*- 0- ,28>54-+*,- 5/0-4,B- ./0 <,+-+*,-2,/+4> 8>5 ./:.- 8-5- 0- /285/3- -0 2>345-5 /0 8>5*/+4-D/ ./

-*4,B>3 ./ 0- 7285/3- A:/ 3/ 3:34/+4-+ 2/.,-+4/ ./:.-F W: :+,.-. ./ 2/.,.- /3 rF

=1i,- H('H1\.1*/+JE-+E

734,2- /+ =5-.> /+ A:/ 0- /285/3- :4,0,O- .,+/5> 85/34-.>F N>3 .,*/ A:/ <5-**,6+ 85>8>5*,>+-+ 0>3

-*5//.>5/3 -0 <,+-+*,-2,/+4> ./ 0- /285/3- 8>5 *-.- 8/3> A:/ -8>54-+ 0>3 -**,>+,34-3F W: :+,.-. ./

2/.,.- /3 rF

=1i,- .1)+0E) 1 %1T+*1O %E-*1XO(

M5>8>5*,>+- ,+<>52-*,6+ 5/38/*4> - 0- 85>8>5*,6+ ./ <,+-+*,-2,/+4> ./ 0>3 -*5//.>5/3 5/38/*4> ./ 0>3

-**,>+,34-3F W: :+,.-. ./ 2/.,.- /3 nF

`/:.- (>4-0

 (>4-0 ./ 1*4,B>3

M-3,B> (>4-0

M-45,2>+,> ./ 1**,>+,34-3

M-3,B> (>4-0

K-8,4-0 K>+4-C0/

Page 87: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 87/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) cI

[;K  =  6]4#&: $& = &#567"8"$6$ 

<1/S(- >*+O+H1H 7/'*1

W/V-0- 0- :4,0,.-. ./ 0- /285/3- /+ 5/0-*,6+ *>+ 0-3 B/+4-3 ./38:)3 ./ ./.:*,5 /0 *>34> ./ 85>.:*,5 0-3

2/5*-./5Q-3 B/+.,.-3F W/V-0- 0- /<,*,/+*,- ./ 0-3 >8/5-*,>+/3 ; 4-2C,)+ *>2> @-+ 3,.> <,D-.>3 0>3 85/*,>3

./ 0>3 85>.:*4>3F W: :+,.-. ./ 2/.,.- /3 rF

<1/S(- H( >*+O+H1H #(*1

;W/V-0- 0- /<,*,/+*,- 5/0-4,B- ./ 0- /285/3- ./38:)3 ./ 4>2-5 /+ *:/+4- 4>.>3 0>3 =-34>3 ; /0 ,28:/34> 3>C5/

0>3 ,+=5/3>3F Z+.,*- /0 ,+=5/3> +/4> 8>5 8/3> B/+.,.>F W: :+,.-. ./ 2/.,.- /3 rF

>*+O+H1H )EX/( 6G*+0E 5E*1O b=(-*1X+O+H1H &GE-,J+G1R

W/V-0- 0- /<,*,/+*,- 5/0-4,B- ./ 0- /285/3- /+ /0 :3> ./ 0>3 -*4,B>3F W: :+,.-. ./ 2/.,.- /3 rF

>*+O+H1H )EX/( .1*/+JE-+E %EJs- b=(-*1X+O+H1H L+-1-G+(/1R

Z+.,*- 0- *-8-*,.-. ./ =/+/5-5 :4,0,.-./3 3>C5/ /0 B-0>5 0,C5> ./ 0- ,+B/53,6+ ./ 0>3 -**,>+,34-3 ; 3/ :4,0,O-

*>+ <5/*:/+*,- 8-5- *>28-5-5 ./3 > 2?3 /285/3-3 /+ :+- ,+.:345,-F W: :+,.-. ./ 2/.,.- /3 rF

\4,0,.-. S5:4-

 f/+4-3 N/4-3

d/3:04-.> f/+4-3 N/4-3

\4,0,.-. N/4- ./38:)3 ./ ,28:/34>3 1*4,B>3 (>4-0/3

\4,0,.-. N/4- ./38:)3 ./ ,28:/34>3

M-45,2>+,>

Page 88: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 88/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) cc

^  .=&:>.>&:54: 

^;3  $&L"#"%"@# 

70 85/3:8:/34> /3 :+- /U85/3,6+ *:-+4,4-4,B- ./ >CD/4,B>3 =/5/+*,-0/3 ; :+ 2/.,> 8-5- *>+45>0-5

/0 85>=5/3> @-*,- /0 0>=5> ./ 4-0/3 >CD/4,B>3F

^;A   C &#56B6: $& 84: .=&:>.>&:54: 

R>3 85/3:8:/34>3 <-*,0,4-+ 0-3 3,=:,/+4/3 <:+*,>+/39 A:/ ./C/+ 00/B-53/ - *-C> /+ :+-

>5=-+,O-*,6+F

^;A;3  &8 &:5>$"4 Z %4#4%"<"&#54 $& 86 &<.=&:6  

 138/*4> ,+@/5/+4/ - 0- 85/8-5-*,6+ ./0 85/3:8:/34>aN>52-02/+4/ 3/ 5/B,3- 0- >5=-+,O-*,6+ 8>5 ?5/-3 ./ 5/38>+3-C,0,.-.a

E W/ ./4/*4-+ <:+*,>+/3 3,+ 5/38>+3-C0/

E W/ 85><:+.,O- /+ 0-3 5/0-*,>+/3 ,+4/5./8-54-2/+4-0/3F

E M:/./+ 3:5=,5 ,./-3 8-5- 2/D>5-5 0- /345:*4:5-F

E /4*F

^;A;A  .86#"L"%6%"@# Z %44=$"#6%"@# 

a) 734-C0/*/ <>52-02/+4/ 0-3 ,+4/55/0-*,>+/39 A:/ /U,34/+ /+45/ 0-3 .,34,+4-3 -*4,B,.-./3 ./ 0-

>5=-+,O-*,6+F

b) 13,=+- - *-.- .,5/*4,B> 0- 5/38>+3-C,0,.-.9 A:/ 0/ *>55/38>+.- ./+45> ./0 *>+D:+4> ./

>CD/4,B>3 ; 80-+/3 ]2/.,> ./ *>2:+,*-*,6+[F

c) `/4/52,+- 0>3 5/*:53>3 A:/ 3/ +/*/3,4-5?+9 /+ <:+*,6+ ./ 0>3 80-+/3 85/B,34>3F

^;A;D  "#:5=><&#54 $& ?&:5"@# 

M/52,4/ 4>2-5 ./*,3,>+/39 3>C5/ -**,>+/3 - 4>2-5 -+4/ :+ *-2C,> C5:3*> /+ 0-3 *>+.,*,>+/3 85/B,34-3F

Page 89: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 89/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) cH

^;A;K  & C68>6%"@# 4 %4#5=48 

R>3 .,B/53>3 85/3:8:/34>3 *>+34,4:;/+ /0 /34?+.-59 *>+ /0 A:/ 3/ B-+ - *>28-5-5 0>3 5/3:04-.>3

>C4/+,.>39 8:.,/+.> -3Q /B-0:-59 3, 0- =/34,6+ @- 3,.> > +> 0- -./*:-.-F

`,*@> *>+45>0 85/3:8:/34-5,>9 *>285/+./ 0-3 3,=:,/+4/3 -*4,B,.-./3a

1. K>28-5-5 0> 5/-0 *>+ 0> 80-+/-.>F

2. Z+<>52-5 ./ 0>3 5/3:04-.>3 ./0 *>+45>0 - 0>3 ,+.,B,.:>3 ; =5:8>3 ,+B>0:*5-.>3F

3.  1+?0,3,3 ./ 0-3 ./3B,-*,>+/39 8-5- ./4/52,+-5 0-3 *-:3-3F

4. `/4/52,+-5 *:53>3 ./ -**,6+ -04/5+-4,B>39 8-5- *>55/=,5 0-3 ./3B,-*,>+/3F

5. W/0/**,6+ ; /D/*:*,6+ ./ 0- >8*,6+ 2?3 /<,*,/+4/F

6. K>+45>0 ./ 0-3 2/.,.-3 *>55/*4>5-39 8-5- 5/45>-0,2/+4-5 /0 85>*/3> ./ 80-+,<,*-*,6+F

^;A;Q  <45"C6%"@# 

`/<,+,.- *>2> /0 +,B/0 ./ /3<:/5O>9 /D/5*,.> 8>5 0-3 8/53>+-3 /+ 0- *>+3/*:*,6+ ./ 0>3 >CD/4,B>3

/34-C0/*,.>3F

^;D  5".4: $& .=&:>.>&:54: 

GF W/=b+ /0 8/5Q>.> ./ 4,/28>F

2. W/=b+ /0 =5-.> ./ <0/U,C,0,.-.F

3. W/=b+ 0- <:+*,6+F

^;D;3  :&?n# &8 .&=W4$4 $& 5"&<.4 

-[ 1 *>54> M0-O>a W>+ 0>3 85/3:8:/34>3 - 80-O>3 +> 2-;>5/3 A:/ :+ -V>F

C[ 1 R-5=> M0-O>a K:;>3 80-O>3 8:/./+ 3/5 ./ # -V>39 $ -V>39 % -V>39 /4*F

^;D;A  :&?n# &8 ?=6$4 $& L8&d"7"8"$6$ 

K:?+ <0/U,C0/ /3 /0 85/3:8:/34> 8-5- -.-84-53/ - 0>3 *-2C,>3F 1A:Q 3/ 4,/+/+ .>3 4,8>3 ./ 85/3:8:/34>3a1R ./()'T'()*E &)*h*+GE2 734>3 85/3:8:/34>3 3/ 5/<,/5/+ - :+ 3>0> +,B/0 ./ -*4,B,.-.F M>5 0> 4-+4>9

3, /0 +,B/0 ./ -*4,B,.-. 5/-0 /3 .,34,+4> -0 85/3:8:/34-.>9 0- *>28-5-*,6+ /+45/ /00>3 +> /3

3-4,3<-*4>5,-9 .-.> - A:/ 3/ 85>.:*/ :+- ./3B,-*,6+ *-+4,.-.9 85>.:*4> ./ 0-3 B-5,-*,>+/39 /+ 0>3

+,B/0/3 ./ -*4,B,.-. 3:D/4>3 - *>28-5-*,6+F

Page 90: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 90/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) HP

XR ./()'T'()*E LO(j+XO(2  W>+ 0>3 85/3:8:/34>39 A:/ 3/ /0-C>5-+ 8-5- .,34,+4>3 +,B/0/3 ./

-*4,B,.-.F k - 8-54,5 ./ /00>39 3/ ./4/52,+- /0 85/3:8:/34> -D:34-.> -0 +,B/0 ./ -*4,B,.-. 5/-0F

^;D;D  :&?n# 86 L>#%"@# 

^;D;D;3  4.&=6%"@# W>+ 0>3 A:/ 3/ 5/<,/5/+ -0 80-+/-2,/+4> ./ 0-3 >8/5-*,>+/3 85>8,-3 ./ 0- 7285/3-F `/+45> ./ /34-

*-4/=>5Q- 3/ 4,/+/+a

^;D;D;3;3  .=&:>.>&:54 $& C &#56: 

70 B>0:2/+ /34,2-.> ./ 0-3 B/+4-3 8-5- :+ 8/5Q>.> 85/3:8:/34-.>F W:3 <:/+4/3 ./

,+<>52-*,6+ 3>+a

E K-+4,.-. ; B-0>5 ./ 0-3 B/+4-3 /+ /0 8-3-.>F

E K>+.,*,>+/3 ./0 2/5*-.>F

E K>+.,*,>+/3 ./ 0- ,+.:345,-F

E _/4-3 ./ 0- /285/3-F

E 74*F

70 85/3:8:/34> ./ B/+4-3 ./C/ 5/B,3-53/ ; *>>5.,+-53/ *>+ 0- *-8-*,.-. ./ 85>.:**,6+F

^;D;D;3;A  .=&:>.>&:54 $& .=4$>%%"@# 

734/ 85/3:8:/34> *>+3,34/ /+ *-0*:0-59 *:?+4> *:/34- 85>.:*,59 0> A:/ 3/ B/+./5?F `/+45>

./ /34/ 85/3:8:/34> /3 +/*/3-5,> /0 *?0*:0> ./ 0>3 3,=:,/+4/3 85/3:8:/34>3 C?3,*>3a

E M5/3:8:/34> ./ _-4/5,-0/3

E M5/3:8:/34> ./ _-+> ./ eC5-

E M5/3:8:/34> ./ L-34>3 ./ ^-C5,*-*,6+

E e45>3

^;D;D;3;D  .=&:>.>&:54 $& "#C&=:"@# 4 $& % 6."568 

W/ 5/<,/5/ -0 85>*/3> ./ 80-+/-*,6+ ./ 0>3 ./3/2C>03>39 *:;>3 5/+.,2,/+4>39 3/ /U4,/+./+9 2?3

-00? ./ :+ -V>F 7D/280>a Z+B/53,6+ /+ 1*4,B>3 ^,D>3F

Page 91: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 91/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) HG

^;D;D;3;K  .=&:>.>&:54 % 6B6 4 L"#6#%"&=4 

734/ 85/3:8:/34> 2:/345-9 :+ 5/3:2/+ ./ 0-3 /+45-.-3 ; 0-3 3-0,.-3 ./ /</*4,B>9 A:/ 3/

85/B/-+ 8-5- :+ 8/5Q>.>F 70 M5/3:8:/34> ./ K-D-9 ./C/ *>+*0:,59 3Q /3 +/*/3-5,> > +>9 0- >C4/+*,6+

./ <>+.>3 -.,*,>+-0/39 8-5- @-*/5 <5/+4/ - 0-3 +/*/3,.-./3 ./ 0- 7285/3-F N> 360> ,+.,*- /0 2>+4>

./0 5/A:/5,2,/+4>9 3,+> A:/ 4-2C,)+ 3: >8>54:+,.-.9 /3 ./*,59 3/V-0- 0- *-+4,.-. ./ <>+.>3 A:/ 3/+/*/3,4-5?+ 2/3 - 2/39 > 45,2/345/ 8>5 45,2/345/9 3/=b+ 3/- /0 *-3>F

7+ =/+/5-09 0>3 85>863,4>3 85,+*,8-0/3 ./0 M5/3:8:/34> ./ K-D-9 3>+a

GF Z+.,*-5 0- 3,4:-*,6+ ./ /</*4,B> 85>C-C0/9 A:/ 4/+.5? 0- 7285/3- /+ /0 <:4:5>F

!F Z+.,*-5 /U*/./+4/3 > /3*-3/O ./ /</*4,B>F 1 8-54,5 ./ /34-3 3,4:-*,>+/39 /+45- /+ D:/=>9 0- =/34,6+ ./ 0-

4/3>5/5Q-9 *:;-3 <,+-0,.-./3 3>+a

E S:3*-5 5/*:53>3 ./ 4/3>5/5Q- -.,*,>+-0/39 8-5- *:C5,5 :+- 3,4:-*,6+ ./<,*,4-5,-F R>3 5/*:53>3 2?3:3:-0/3 3>+ /0 *5).,4> S-+*-5,> ; /0 -80-O-2,/+4> ./ 8-=>3F

E S:3*-5 :+- *>0>*-*,6+ -./*:-.- 8-5- 0>3 5/*:53>3 3>C5-+4/39 /+ /0 *-3> ./ 4/3>5/5Q- 8>3,4,B-a

-85>B/*@-5 ./3*:/+4>3 ./ *-D-9 > ,+B/54,5 /+ -*4,B>3 <,+-+*,/5>3F

4. 7+45/=-5 :+- C-3/ 360,.- 8-5- 3>0,*,4:./3 ./ *5).,4>F

^;K  L 6:&: $&8 .=4%&:4 .=&:>.>&:56="4 

GF 734-C0/*,2,/+4> ./ 0-3 N>52-3 e5,/+4-.>5-3F

!F K>+</**,6+ ./ 0>3 M5/3:8:/34>3 e8/5-*,>+-0/3 ; ./ Z+B/53,6+F

E M5/3:8:/34> ./ f/+4-3

E M5/3:8:/34> ./ ^-C5,*-*,6+

E e45>3

#F N/=>*,-*,6+

$F d/B,3,6+ ; K>>5.,+-*,6+%F K>+</**,6+ ./ 734-.>3 ^,+-+*,/5>3 ^,+-0/3

&F 185>C-*,6+ ^,+-0

Page 92: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 92/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) H!

^;Q  L4=<6: $& .=&:>.>&:56%"@#

7+ 0- /0-C>5-*,6+ ./ 85/3:8:/34>3 3/ 8:/./+ /280/-5 .>3 /+<>A:/3a

E Z+*5/2/+4-0

E S-3/ K/5>

^;Q;3  % 6=6%5&=W:5"%6: $&8 .=&:>.>&:54 "#%=&<&#568 

E W/ C-3- /+ /0 M5/3:8:/34> -+4/5,>5F

E 7U-2,+- 0>3 C/+/<,*,>3 ; *>34>3 360> ./ 0-3 +:/B-3 -*4,B,.-./3F

E W/ *>+*/+45- /+ /0 =-34> ./ 5/*:53>3 2>+/4-5,>3F

E N> ,+*/+4,B- 0- Cb3A:/.- ./ +:/B-3 <>52-3 ./ -**,6+F

E K>+*0:;/ /0 85>*/3>9 /+ :+ 85/3:8:/34> 8>5 -*/84-5 > 5/*@-O-5F

^;Q;A  % 6=6%5&=W:5"%6: $&8 .=&:>.>&:54 7 6:& %&=4 

N> 3/ C-3- /+ /0 M5/3:8:/34> -+4/5,>5F

E 7U-2,+- 0>3 C/+/<,*,>3 ; *>34>3 ./ 4>.-3 0-3 -*4,B,.-./3F

E W/ *>+*/+45- /+ 0>3 >CD/4,B>3 ./ 0- :+,.-. A:/ 80-+,<,*-F

E Z+*/+4,B- 0- Cb3A:/.- ./ +:/B-3 <>52-3 ./ -**,6+9 A:/ -0*-+*/+ 0>3 >CD/4,B>3 ./ 0- :+,.-.F

E K>+*0:;/ /0 85/3:8:/34>9 /+ .,B/53-3 >8*,>+/39 8-5- .,34,+4>3 +,B/0/3 ./ 3/5B,*,>3 > *>34>3F

^;Q;A;3  L>#$6<&#54: $&8 .=&:>.>&:54 7 6:& %&=4 

E q:34,<,*-5 0- 4>4-0,.-. ./ 0>3 ,28>54/3 ./0 85/3:8:/34>9 8-54,/+.> ./0 85,2/5 8/3>a

u 734- D:34,<,*-*,6+9 ./C/+ @-*/50- 0>3 .,5/*4,B>3 5/38>+3-C0/3 ./ 0-3 -*4,B,.-./3 - 45-B)3 ./ :+

85>*/3> 8-54,*,8-4,B>F

E `/2>345-5 A:/ 0>3 =-34>3 85>8:/34>3 3>+ 5/-02/+4/ +/*/3-5,>3a

u `/3*5,8*,6+ 2:; ./4-00-.- ; *>280/4- ./ 4>.-3 0-3 -*4,B,.-./3 85/B,34-3 8-5- /0 /D/5*,*,> 3,=:,/+4/F

u q:34,<,*-*,6+ ./ /34-3 -*4,B,.-./39 /+ 4)52,+>3 ./ 0- *>@/5/+*,- ./ >CD/4,B>3F

E 734-C0/*/5 :+- >5./+-*,6+ ; 85,>5,O-*,6+ ./0 *>+D:+4> ./ -*4,B,.-./39 - <,+ ./ *>+3/=:,5 A:/ 0>3

5/*:53>3 .,38>+,C0/39 3/ -80,A:/+ - 0>3 85>=5-2-3 A:/ 5/85/3/+4-+ 0- 2/D>5 >8*,6+ 8-5- 0- /285/3-F

Page 93: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 93/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) H#

^;Q;A;A  .=4%&:4 $& &8674=6%"@# $&8 .=&:>.>&:54 7 6:& %&=4 

W/ ./3-55>00- - 45-B)3 ./ *:-45> /4-8-3 C?3,*-3a

^;Q;A;A;3  $&L"#"%"@# $& 86: >#"$6$&: 4 784_>&: $& $&%":"@# b4 $& 6#98":":R

\+- :+,.-. ./ ./*,3,6+ /3 :+ =5:8> ./ -*4,B,.-./3 @>2>=)+/-3 >5,/+4-.-3 @-*,- :+- -**,6+

*>+*5/4-9 *>+ :+ 5/3:04-.> ./<,+,.> ; B-0>5-C0/F

^;Q;A;A;A  .=&.6=6%"@# $& 86: .=4.>&:56: b4 .6_>&5&:R  >#"56="6: $& $&%":"@#; b.;>;$R

R- 85>8:/34- ./ ./*,3,6+ /3 :+ ,+<>52/ /3*5,4> A:/ ,./+4,<,*- ; ./3-55>00- 0-3 -*4,B,.-./3 >

85>=5-2-3 ./ :+- :+,.-. ./ ./*,3,6+9 ./ 2-+/5- A:/ 0- .,5/**,6+ 8:/.- B-0>5-5 3: ,28>54-+*,- ; *>+>*/5

/0 +,B/0 ./ =-34>3 A:/ *>28>54-+F

R-3 MF\F` 4,/+/+ ! <:+*,>+/3 C?3,*-3a

E W>+ /0 3>8>54/ ./0 ./4-00-.> -+?0,3,3 ./ 0-3 -*4,B,.-./3 A:/ *>+34,4:;/ 0- C-3/ ./0 MFSFKFE W>+ 0- C-3/ ./ 0- ./*,3,6+ ./ 3Q 3/ -85:/C- > +> /0 85>=5-2- ./ -*4,B,.-.F

^;Q;A;A;D  4=$&#6%"@# $& 86: .=4.>&:56: $& $&%":"@# 

R-3 .,34,+4-3 85>8:/34-3 8/54/+/*,/+4/3 - *-.- :+,.-. ]> C0>A:/[ ./ .,3*:3,6+ 3/ >5./+-+9 ; -

*>+4,+:-*,6+ 3/ @-*/ 0> 2,32>9 2/.,-+4/ :+ 85>*/3> ./ *>+3>0,.-*,6+ 8>5 +,B/0/39 *>+ /0 *>+D:+4> ./

85>8:/34-3 ./ 0-3 .,34,+4-3 :+,.-./3F

K>+ /34> 3/ /34-C0/*/+ 0-3 85,>5,.-./39 /+ *:-+4> - 0- -3,=+-*,6+ ./ 0>3 5/*:53>3 ./34,+-.>3 -0

85/3:8:/34>F

R- >5./+-*,6+ ./ 0-3 85>8:/34-3 ./ ./*,3,6+ *>+3,34/9 /+ :+- 0,34- ]> B-5,-3[ /+ 0- A:/ /34?+

5/0-*,>+-.-3 0-3 85>8:/34-39 3,=:,/+.> :+ >5./+ ./ 85,>5,.-. /34-C0/*,.> 3>C5/ 0- C-3/ ./ ./4/52,+-.>3

<-*4>5/3a

E N,B/0 ./ *:280,2,/+4> ./ 0>3 >CD/4,B>3

E d/0-*,6+ *>34>oC/+/<,*,>

E e45>3R- -3,=+-*,6+ ./ 85,>5,.-./39 3:/0/ 5/-0,O-53/ 2/.,-+4/ 5/:+,>+/3 ./ 0>3 5/38>+3-C0/3 ./ 0-3

:+,.-./3 ./ ./*,3,6+ ; /+ C-3/ - :+ 3,34/2- ./ 8:+4:-*,6+F R-3 85>8:/34-3 3/ D/5-5A:,O-+ /+ *-.-

+,B/0 ; 0-3 0,34-3 ./ 85,>5,.-./3 3/ 5/<:+./+ /+ +:/B-3 0,34-3 2?3 =0>C-0,O-.-39 @-34- 00/=-5 - :+- 3>0- 0,34-

>5./+-.- ./ 4>.-3 0-3 85>8:/34-3 ./ 0- /285/3-F

Page 94: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 94/312

Page 95: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 95/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) H%

3`  %4:54: 

3`;3  %86:"L"%6%"@# $& 84: %4:54: 

 (/+,/+.> /+ *:/+4- A:/ 0- K>+4-C,0,.-. ./ K>34>3 4,/+/ ./+45> ./ 3:3 >CD/4,B>39 /0 *-0*:0-5 0> A:/*:/34- 85>.:*,5 :+ -54Q*:0>9 > 0> A:/ *:/34- B/+./50>9 > 0>3 *>34>3 A:/ 3>+ +/*/3-5,>3 8-5- 85/34-5 :+

3/5B,*,>9 -./2?3 ./ >C4/+/5 0- ,+<>52-*,6+ +/*/3-5,- 8-5- *>+45>0-5 0- 85>.:**,6+9 80-+/-5 0-3 -*4,B,.-./3

./ :+- /285/3- ; 4>2-5 ./*,3,>+/39 0>3 *>34>3 3/ 8:/./+ *0-3,<,*-5 ./ 0- 3,=:,/+4/ <>52-a

3`;3;3  $& 6%>&=$4 %4# 86 %86:& $& 4=?6#"]6%"@# 4 L>#%"@# $&8 #&?4%"4 

W/ 4,/+/+a

3`;3;3;3  %4:54: $& < 6#>L6%5>=6   (-2C,)+ *>+>*,.>3 *>2> *>34>3 ./ 85>.:**,6+ > *>34>3 ./ <-C5,*-*,6+9 85>8,> ./ 0-3 /285/3-3

A:/ /0-C>5-+ 3:3 85>.:*4>3F

R>3 *>34>3 :3-.>3 /+ /0 85>*/3> ./ 85>.:**,6+ 3/ .,B,./+ /+a

3`;3;3;3;3  < 65&="68&: $"=&%54: 

W>+ -A:/00>3 2-4/5,-0/3 -.A:,5,.>3 8-5- 3/5 :3-.>3 /+ /0 85>*/3> ./ <-C5,*-*,6+ ; A:/ 3>+ 2/.,.>3

> ,./+4,<,*-C0/3 *>+ *-.- :+,.-. ./0 85>.:*4> 4/52,+-.>F ]W/ ,+*0:;/ :+ 8>5*/+4-D/ *>2> ./38/5.,*,>[F

`/C/ 4/+/53/ /+ *:/+4- A:/ +> 4>.-3 0-3 2-4/5,-3 85,2-3 A:/ 3/ :3- 3/ *0-3,<,*- *>2> 2-4/5,-0 .,5/*4>9 8>5

*:-+4> @-; -0=:+>3 2-4/5,-0/3 *>2> 0>3 -*/,4/3 ; =5-3-3 8>5 /D/280>9 A:/ +> 8:/./+ ,./+4,<,*-53/ *>+ /0

85>.:*4> ; 3/ *>+3,./5-+ *>2> 2-4/5,-0/3 ,+.,5/*4>3 ; 3/ 45-4-+ *>2> =-34>3 ./ <-C5,*-*,6+F

3`;3;3;3;A  < 6#4 $& 47=6 $"=&%56  

73 0- A:/ 3/ 5/0-*,>+- ./ 2-+/5- .,5/*4- *>+ :+- :+,.-. ./0 85>.:*4> 4/52,+-.>9 /0 45-C-D> @/*@>

8>5 0- 2-+> ./ >C5- .,5/*4- 3/ 5/<0/D- *0-5-2/+4/ /+ 0>3 85>.:*4>3 ; /34? 3,/285/ -80,*-.> - 2-4/5,-0/3

.,5/*4>3 8-5- 3: 8>34/5,>5 45-+3<>52-*,6+F R- 2-+> ./ >C5- A:/ +> *:280- /34-3 *>+.,*,>+/3 3/

./+>2,+- 2-+> ./ >C5- ,+.,5/*4- ; 3/ 45-4- *>2> =-34>3 ./ ^-C5,*-*,6+F M>5 /D/280> 8/53>+-0 ./

3:8/5B,3,6+F

R- 3:2- ./0 2-4/5,-0 .,5/*4> ; 0- 2-+> ./ >C5- .,5/*4-9 /3 *>+>*,.- =/+/5-02/+4/ /+ 0>3 2/.,>3

,+.:345,-0/3 *>2> *>34> 85,2>F

Page 96: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 96/312

Page 97: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 97/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) HI

3`;3;3;3;K  %4:54: $& <&=%6$4 

K>+>*,.>3 4-2C,)+ *>+ /0 +>2C5/ ./ *>34>3 ./ .,345,C:*,6+ > ./ B/+4-3F R- .,345,C:*,6+ /3 0-

4-5/- ./ @-*/5 A:/ /0 85>.:*4> 00/=:/ - 8>./5 ./0 *0,/+4/9 0:/=> 0>3 *>34>3 ./ .,345,C:*,6+ 3/5Q-+ 0>3 =-34>3

./ B/+4-a 8:C0,*,.-.9 85>2>*,6+9 *>2,3,>+/3 ./ 0>3 B/+./.>5/39 /4*F K>+B/+*,>+-02/+4/9 0>3 *>34>3 ./

.,345,C:*,6+ +> 3>+ *>34>3 ,+B/+4-5,-C0/39 /3 ./*,5 +> 3/ -80,*-+ -0 85>.:*4>9 3,+> A:/ 3/ -3,=+-+ -08/5Q>.> /+ /0 *:-0 >*:55/+9 ./ -@Q A:/ 3/ 0/3 *>+>O*- 4-2C,)+ *>+ /0 +>2C5/ ./ *>34>3 ./0 8/5Q>.>F

d-O>+/3 8-5- /U*0:,5 0>3 '*>34>3 > =-34>3 ./0 8/5Q>.>' ./ 0>3 ,+B/+4-5,>3F

1. 734-3 8-54,.-3 +> 3/ ,./+4,<,*-+ 4-+ <?*,02/+4/ *>+ 0>3 85>.:*4>3F

7D/280>a /3 .,<Q*,0 ,./+4,<,*-5 /0 8-=> ./ 0>3 3:/0.>3 ./ 0>3 B/+./.>5/3 *>+ 0>3 85>.:*4>3 <-C5,*-.>3F

!F 734-3 8-54,.-3 3/ >5,=,+-+ *>+ ./3<-3/ -0 85>*/3> 85>.:*4,B>F M>5 /D/280> 0>3 =-34>3 ./ B/+4-9 3/

,+*:55/+ *:-+.> /0 85>.:*4> /34- ,+B/+4-5,-.>F#F L/+/5-02/+4/ /34-3 8-54,.-3 4,/+./+ - 8/52-+/*/5 5/0-4,B-2/+4/ *>+34-+4/3 ./ :+ 8/5Q>.> -

>45>9 8>5 0> 4-+4> 3>+ ,+./8/+.,/+4/3 ./0 85>*/3> 85>.:*4,B>F

$F R- /U*0:3,6+ ./ /34-3 8-54,.-3 ./ 0- 5/-0,O-*,6+ ./ ,+=5/3>3 ,280,*-5Q- :+ -:2/+4> ./ 0>3

,28:/34>3 ; 0:/=> @-; :+- <:/54/ >8>3,*,6+ - 3/5 ,+B/+4-5,-.-3F

%F `/+45> ./ 0>3 =-34>3 ./0 8/5Q>.> 3/ ,+*0:;/+ 4-2C,)+ 0>3 =-34>3 -.2,+,345-4,B>3 > 3/- 0>3 3:/0.>3

./ 0-3 3/*5/4-5,-39 =/5/+4/3 ; -04>3 /D/*:4,B>39 /4*F

3`;3;A  $& 6%>&=$4 6 86 #65>=68&]6 $& 86: 4.&=6%"4#&: $& L67="%6%"@# 

W/ 4,/+/+ 0>3 3,=:,/+4/3 3,34/2-3 ./ *>34>3a

3`;3;A;3  %4:54: .4= @=$&#&: $& L67="%6%"@# 

 (-2C,)+ *>+>*,.> *>+ 0>3 +>2C5/3 ./ *>34> 8>5 65./+/3 /38/*Q<,*-3 ./ 85>.:**,6+9 8>5

0>4/3 ./ 45-C-D> > 8>5 8/.,.>3 ./ 0>3 *0,/+4/39 /3 85>8,> ./ -A:/00-3 /285/3-3 *:;>3 *>34>3 3/ 8:/./+

,./+4,<,*-5 *>+ /0 85>.:*4> /+ *-.- >5./+ ./ 45-C-D> /+ 8-54,*:0-59 - 2/.,.- A:/ 3/ B-+ 5/-0,O-+.> 0-3

.,</5/+4/3 >8/5-*,>+/3 ./ 85>.:**,6+ /+ /3/ >5./+ /38/*Q<,*>F S-D> /34/ 3,34/2- ./ *>34>39 0>3 *>34>3 3/,./+4,<,*-+ .,5/*4-2/+4/ *>+ *-.- 45-C-D>9 ./ -@Q A:/ 8>+=- )+<-3,3 /+ 0- -*:2:0-*,6+ ; -3,=+-*,6+ ./ 0>3

*>34>3 - 0>3 45-C-D>3 > *>+D:+4> ./ 85>.:*4>3F K-.- 45-C-D> 5/85/3/+4- .,34,+4-3 /38/*,<,*-*,>+/3 ./

<-C5,*-*,6+F 7+ =/+/5-0 /0 3,34/2- ./ *>+4-C,0,.-. ./ *>34>3 8>5 65./+/3 ./ 45-C-D> /3 /38/*,-02/+4/

-85>8,-.> *:-+.> 0- 85>.:**,6+ *>+3,34/ ./ 45-C-D>3 > 85>*/3> /38/*,-0/3F M>5 /D/280> .,3/V>3 ./

,+=/+,/5Q-9 *>+345:**,6+ ./ /.,<,*,>39 4-00/5/3 ./ 5/8-5-*,>+/39 /4*F

Page 98: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 98/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) Hc

3`;3;A;A  %4:54: .4= .=4%&:4:

734/ 3,34/2- 3/ :4,0,O- /+ -A:/00-3 /285/3-3 *:;- 85>.:**,6+ /3 :+,<>52/ ; /0 8-456+ ./

85>.:**,6+ /3 5/8/4,4,B> > *>+4,+:>F S-D> /34/ 3,34/2- ./ *>34>39 /0 )+<-3,3 3/ /+*:/+45- /+ 0- -*:2:0-*,6+

./ 0>3 *>34>3 ./ 85>.:**,6+ 8>5 8/5Q>.> ./ 4,/28> /38/*Q<,*>9 8>5 ./8-54-2/+4>9 85>*/3>39 > */+45>3 ./

*>34>3 - 45-B)3 ./ 0>3 *:-0/3 *,5*:0- /0 85>.:*4>F N> 3/ @-*/ +,+=b+ /3<:/5O> 8-5- -B/5,=:-5 /0 *>34>

/38/*Q<,*> ./ *-.- :+,.-. 3/8-5-.- ./ 85>.:**,6+9 2?3 C,/+ 0>3 *>34>3 ./ 0>3 85>.:*4>3 A:/ 3/ >C4,/+/+

3>+ *>34>3 85>2/.,>3 A:/ 3/ @-+ ,.> -*:2:0-+.> ./ ./8-54-2/+4> /+ ./8-54-2/+4>F

7D/280> ./ /285/3-3 A:/ :4,0,O-+ /34/ 3,34/2- ./ *>34>3a Z+.:345,-3 ./ 4/U4,0/39 ./ 85>*/3>3

A:Q2,*>39 80?34,*>39 */2/+4>9 -*/5>9 -Ob*-59 8/4560/>9 B,.5,>9 2,+/5Q-9 /4*F

3`;3;D  $& 6%>&=$4 %4# 86 L4=<6 %4<4 :& &d.=&:&# 84: $654:N  :&?n# 86 L&%c6 Z &8

<a54$4 $& %98%>84;

W/ 4,/+/+ 0>3 3,=:,/+4/3 3,34/2-3 ./ *>34>3F

3`;3;D;3  c":5@="%4: 

W>+ 0>3 A:/ -3,=+-+ - 0>3 85>.:*4>3 <-C5,*-.>3 4>.>3 0>3 *>34>3 5/-0/3 /+ A:/ 3/ ,+*:55/

.:5-+4/ :+ 8/5Q>.> ./4/52,+-.> ./ 4,/28> /+ 0- <-C5,*-*,6+ ./ )34>3F

3`;3;D;A  %4:54: .=&$&5&=<"#6$4: 

W>+ *>34>3 A:/ 3/ *-0*:0-+ -+4/3 ./ A:/ 3/ ,+,*,/ 0- 85>.:**,6+F K:-+.> 3/ :3- :+ 3,34/2-

./ *>+4-C,0,.-. ./ *>34>3 85/./4/52,+-.>39 4-+4> 0>3 *>34>3 85/./4/52,+-.>3 *>2> 0>3 5/-0/3 3/ 5/<0/D-+

/+ 0- *>+4-C,0,.-.F R- .,</5/+*,- /+45/ /0 *>34> 85/./4/52,+-.> ; /0 5/-0 3/ 00-2- B-5,-*,6+F R-3 B-5,-*,>+/3

8:/./+ -=5:8-53/ 8>5 ./8-54-2/+4>9 8>5 *>34> ; 8>5 /0/2/+4> ./ *>34>F 70 =5-.> /+ A:/ 3/ 8:/./

*>+45>0-5 :+- B-5,-*,6+ ./8/+./ ./ 0- +-4:5-0/O- ./ 0- +>52-9 ./0 *>34> ,280,*-.> ; ./ 0-3 *,5*:+34-+*,-3

8-54,*:0-5/3 A:/ >5,=,+-5>+ 0- B-5,-*,6+F

R>3 *>34>3 85/./4/52,+-.>3 3/ .,B,./+ /+a

3`;3;D;A;3  %4:54: &:5"<6$4: 

73 0- *-+4,.-. A:/ 3/=b+ 0- /285/3-9 *>34-5? 5/-02/+4/ :+ 85>.:*4> > 0- >8/5-*,6+ ./ :+ 85>*/3>

.:5-+4/ :+ 8/5Q>.> ./ 4,/28>F L/+/5-02/+4/9 /0 *>34> /34,2-.> 3/ C-3- /+ -0=b+ 85>2/.,> ./ *>34>3 ./

85>.:**,6+ 5/-0 ./ 8/5Q>.>3 -+4/5,>5/3 -D:34-.> 8-5- 5/<0/D-5 0>3 *-2C,>3 /+ *>+.,*,>+/3 /*>+62,*-39

/<,*,/+4/39 ; A:/ 3/ -+4,*,8-+ 8-5- /0 <:4:5>F ^5/*:/+4/2/+4/9 0>3 *>34>3 /34,2-.>3 ,+*0:;/+ :+- *-+4,.-.

A:/ 5/<0/D- 0>3 ./38/5.,*,>3 ; .,</5/+*,-3 A:/ 3/ -+4,*,8-+ ; A:/ -:2/+4-+ 0>3 *>34>3 :+,4-5,>3 ; 4>4-0/3 ./0

85>.:*4>F

Page 99: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 99/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) HH

3`;3;D;A;A  %4:54: &:59#$6=  

73 0- *-+4,.-. A:/ 3/=b+ 0- /285/3- ./C/5Q- *>34-5 :+ 85>.:*4> > 0- >8/5-*,6+ ./ :+ 85>*/3>

.:5-+4/ :+ 8/5Q>.> ./ 4,/28>9 3>C5/ 0- C-3/ ./ *,/54-3 *>+.,*,>+/39 3:8:/34-3 ./ /<,*,/+*,-9 *>+.,*,>+/3

/*>+62,*-3 ; >45>3 <-*4>5/3a

7+ 0- 85?*4,*- 0>3 3,34/2-3 A:/ 3/ :3-+ 3>+ :+- *>2C,+-*,6+ ./ *>34>3 @,3465,*>3 ;

85/./4/52,+-.>39 :+- ./ 0-3 B-5,-+4/3 2?3 :3-.-3 /3 2-4/5,-0/3 ; 2-+> ./ >C5- 5/-0/3 ; =-34>3 ./

<-C5,*-*,6+ 85/./4/52,+-.>3F

3`;3;K  $& 6%>&=$4 %4# 86 L4=<6 %4<4 :& %68%>8&# 84: %4:54: $& "#C&#56="4: _>&

_>&$6# &# .=4$>%%"@#N 84: %4:54: :& .>&$&# $"C"$"= &# u

3`;3;K;3  %4:54: $& 67:4=%"@# 

K>+>*,.> 4-2C,)+ *>+ /0 +>2C5/ ./ *>34>3 4>4-0/3 > =0>C-0/39 /0 *>34> ./ *-.- -54Q*:0> 3/

./4/52,+- /+ C-3/ -0 *>34> ./ 0>3 2-4/5,-0/3 .,5/*4>39 0- 2-+> ./ >C5- .,5/*4- ; 0>3 =-34>3 =/+/5-0/3 ./

2-+:<-*4:5- <,D>3 ; B-5,-C0/3F 73 /0 8:+4> ./ B,34- 45-.,*,>+-09 ./ -280,- -*/84-*,6+ ; -0 *:-0 3/ 4,/+/ A:/

00/=-5 ./ 4>.-3 2-+/5-3 8-5- /</*4>3 <,3*-0/3F

3`;3;K;A  %E)*E) $+/(G*E) E C1/+1XO()

W/ 0/ *>+>*/ 4-2C,)+ *>+ /0 +>2C5/ ./ *>34>3 2-5=,+-0/39 /0 *>34> ./ 0>3 2-4/5,-0/3 .,5/*4>39 0-2-+> ./ >C5- .,5/*4-9 0>3 =-34>3 =/+/5-0/3 ./ 2-+:<-*4:5- B-5,-C0/39 -3Q *>2> *:-0A:,/5 =-34> ./

-.2,+,345-*,6+ ; ./ B/+4-3 A:/ B-5Q/ ,=:-02/+4/ *>+ /0 B>0:2/+ ./ -*4,B,.-.F R>3 =-34>3 =/+/5-0/3 ./

2-+:<-*4:5- <,D>39 -3Q *>2> 0>3 ./ -.2,+,345-*,6+ ; ./ B/+4-3 *>+34-+4/39 3>+ *>+3,./5-.>3 *>2> =-34>3

./0 8/5Q>.> ; +> 4,/+/+ 8>5 0> 4-+4> +,+=:+- ,+<0:/+*,- /+ /0 *>34> ./ 0>3 ,+B/+4-5,>3 <,+-0/3 ./

85>.:**,6+F

Page 100: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 100/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GPP

3`;3;Q  $& 6%>&=$4 6 :> "$&#5"L"%6%"@# %4# &8 .=4$>%54 4 :&?<&#54 

W/ 4,/+/+a

3`;3;Q;3  %4:54: $"=&%54: 

W>+ -A:/00>3 A:/ 8:/./+ ,./+4,<,*-53/ .,5/*4-2/+4/ *>+ :+ 85>*/3>9 85>.:*4>9 45-C-D> > *:-0A:,/5

>45- -**,6+ ./ 0- /285/3-F \+ *>34> ,+.,5/*4> /3 /0 A:/ +> 8:/./ -45,C:,53/ .,5/*4-2/+4/ - /34-3 3/**,>+/3

./ 0- /285/3-F \+ *>34> A:/ /3 .,5/*4> 8-5- :+- -**,6+ 8:/./ 3/5 ,+.,5/*4> 8-5- >45-F R>3 *>34>3

,+.,5/*4>3 3/ *>+B,/54/+ /+ *>34>3 -3,=+-.>39 8:/34> A:/ ./C/+ *-5=-53/ > -80,*-53/ - 85>*/3>39 85>.:*4>39

45-C-D>3 : >45-3 3/**,>+/3 ./ 0- 7285/3-F R- -3,=+-*,6+ ./ 0>3 *>34>3 ,+.,5/*4>3 ,280,*- /0 :3> ./ :+-

C-3/ > Q+.,*/ A:/ 5/<0/D/ 0- 2-+/5- /+ A:/ 3/ 3:8>+/ A:/ 3/ :4,0,O- /0 *>34> ,+.,5/*4> /+ /34-3 3/**,>+/3F

3`;3;V  $& 6%>&=$4 6 86 .=&:&#56%"@# $& 6#5&%&$&#5&:

W/ 4,/+/+a

3`;3;V;3  %4:54: 54568&: Z %4:54: >#"56="4: 

70 4,8> ./ .-4>3 2?3 *>2b+ /3 /0 ./0 *>34> 4>4-0 ./0 85>.:*4> ; /+ /34- /U85/3,6+ /34?+ -C-5*-.>3

4>.>3 0>3 *>34>3 ./ <-C5,*-*,6+9 ./ 0>3 A:/ /3 5/38>+3-C0/ /0 =/5/+4/ ./ >8/5-*,>+/39 +> ,+*0:;/+.> 0>3 ./

 B/+4-9 +, -.2,+,345-*,6+9 +, 0>3 ./ ,+B/34,=-*,6+ ; ./3-55>00>9 3-0B> A:/ -3Q 3/ ./4/52,+/F R>3 *>34>3

:+,4-5,>3 5/3:04-+ ./ .,B,.,5 /0 *>34> 4>4-0 8>5 /0 +b2/5> ./ :+,.-./3 85>.:*,.-39 0-3 :+,.-./3 ./ *>34>3

+> 3,/285/ 3>+ :+ 85>.:*4> <Q3,*>9 3,+> -A:/0 .-4> /34-.Q34,*> 5/85/3/+4-4,B> ./ :+- -*4,B,.-.9

>CD/4,B-2/+4/ ./<,+,C0/ A:/ /34) 2?3 *>55/0-*,>+-.> *>+ /0 *>34>F

7D/280>3a J>5-3 2?A:,+-39 0,45>39 |,0>=5-2>39 +b2/5> ./ <-*4:5-39 /4*F R>3 *>34>3 :+,4-5,>3

./C/+ /U85/3-53/ /+ 4)52,+>3 A:/ 4/+=-+ 2?3 3,=+,<,*-.> 8-5- 0-3 8/53>+-3 5/38>+3-C0/3 8>5 /3>3 *>34>3F

70 :3> ./ 0>3 *>34>3 :+,4-5,>3 ./C/ 3/5 2:; *:,.-.>3>9 8:/3 8:/./ 00/B-5 - /A:QB>*>39 3,+> 3/ 4,/+/

/+ *:/+4- 0- C-3/ ./ 0>3 *>34>3 ,+.,5/*4>3 ]*>34>3 <,D>3[ 3>C5/ 0>3 A:/ /34?+ *-0*:0-.>3F

\+ /55>5 *>2b+ /3 *>+3,./5-5 ,+.,3*5,2,+-.-2/+4/ 4>.>3 0>3 *>34>3 :+,4-5,>39 *>2> 3, 4>.>3

<:/5-+ *>34>3 B-5,-C0/3F W/ 8:/./ :4,0,O-5 /0 *>34> B-5,-C0/ :+,4-5,> 8-5- /34,2-5 0>3 *>34>3 4>4-0/39 8/5> +>

:3-5 :+ *>34> <,D> 8-5- /34,2-5 /0 *>34> 4>4-09 0>3 *>34>3 <,D>3 3>+ ,+./8/+.,/+4/3 ./0 +,B/0 ./ -*4,B,.-. ./

0- 7285/3-9 ./ -@Q A:/ 0>3 *>34>3 :+,4-5,>3 ./C-+ 3/5 ,+4/585/4-.>3 *>+ /U45/2- *-:4/0-F

Page 101: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 101/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GPG

%EJTE/*1J+(-*E 1 J(H+H1 f'( (O 0EO'J(- 01/g1

%E)*E 5E*1O %E)*E TE/ '-+H1H

%E)*E 01/+1XO( *-2C,- +> *-2C,-

%E)*E I+PE +> *-2C,- *-2C,-

3`;3;Y  $& 6%>&=$4 6 :> C6="67"8"$6$ 

R>3 *>34>3 +> 360> 3/ 5/0-*,>+-+ ./ 2-+/5- .,5/*4- > ,+.,5/*4- *>+ 0>3 45-C-D>39 85>.:*4>3 >

85>*/3>39 3,+> A:/ 4-2C,)+ 8:/./+ B-5,-5 ./<,+,4,B-2/+4/ /+ *-+4,.-. *>+ 0>3 *-2C,>3 /+ 0- 85>.:**,6+ >

/+ 0-3 B/+4-3F

73 -3Q *>2> 3/ 4,/+/+a

3`;3;Y;3  %4:54: C  6="678&: 

W>+ -A:/00>3 *>34>3 A:/ 4,/+./+ - -:2/+4-5 > .,32,+:,5 /+ 4>4-09 /+ 85>8>5*,6+ *>+ 0>3 *-2C,>3

/+ 0>3 +,B/0/3 ./ -*4,B,.-.F 7D/280>a _-+> ./ eC5- `,5/*4-9 _-4/5,- M5,2- `,5/*4- ; L-34>3 ./

^-C5,*-*,6+ f-5,-C0/3F

734>3 *>34>3 /+ 4)52,+>3 :+,4-5,>3 3>+ *>+34-+4/3 ; 3/ 5/85/3/+4-+ =5?<,*-2/+4/ ./ 0- 3,=:,/+4/ <>52-F

&- *e/J+-E) *E*1O()

A

 1:2/+4- /+ <>52- 0,+/-0K>34>3 n

M/+.,/+4/ ]N[

 f>0:2/+ ./ actividad en $ o en ―u‖ 

Page 102: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 102/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GP!

&- *e/J+-E) '-+*1/+E)

 k g (>4-0 ./ K>34>3 f-5,-C0/3F

N g M/+.,/+4/ ./ 0- 0Q+/- K>34>3 f-5,-C0/3F W, /0 B>0:2/+ ./ -*4,B,.-. /34? /U85/3-.> /+ 0-

8/+.,/+4/9 /3 ,=:-0 -a

 

.>+./a ; g *>34>3 B-5,-C0/3 4>4-0/3

U g B/+4-3 4>4-0/3F

W, /0 B>0:2/+ ./ -*4,B,.-. /34? /U85/3-.> /+ :+,.-./3 0- 8/+.,/+4/ /3 /0 *>34> B-5,-C0/ :+,4-5,>

l g B>0:2/+ ./ -*4,B,.-.F

3`;3;Y;A  %4:54: L"B4: 

W>+ -A:/00>3 *>34>3 A:/ +> B-5Q-+ ./+45> ./ :+ +,B/0 +>52-0 ./ >8/5-*,>+/3 ]5-+=> ./

-80,*-C,0,.-.[ ; .-.> :+ *,/54> 8/5Q>.> ./ 4,/28>F

R>3 K>34>3 <,D>3 ./ :+- /285/3- ]M>5 /D/280>9 3:/0.>39 -55,/+.>39 /4*F[ 8:/./+ 8/52-+/*/5

,+B-5,-C0/3 .:5-+4/ :+ 8/5Q>.> ./ 4,/28>9 8/5> 8:/./+ .,32,+:,5 3:34-+*,-02/+4/ 3, 0>3 +,B/0/3 ./

-*4,B,.-. ./3*,/+./+ 5-.,*-02/+4/F R- 85>C-C,0,.-. ./ A:/ /34> >*:55-9 /3 ./*,59 ./ A:/ /0 +,B/0 ./-*4,B,.-. 3/ 3-0=- ./0 5-+=> ./ -80,*-C,0,.-. /3 /3*-3-F `/ -@Q A:/ 0>3 *>34>3 <,D>3 4,/+.-+ - 3/5 *>+34-+4/3F

7+ =/+/5-09 0>3 *>34>3 <,D>3 3/ =/+/5-+ /+ <:+*,6+ ./0 4,/28> ; ./ >45>3 <-*4>5/3 4-0/3 *>2>a

E 70 @/*@> ./ 8>3//5 80-+4- ; /A:,8> ;

E `/ 0- *-8-*,.-. ./ >5=-+,O-*,6+F

A

K>34>3 n

 f-5,-C0/ :+,4-5,>

Page 103: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 103/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GP#

R>3 *>34>3 <,D>3 3>+ B-5,-C0/3 /+ 4)52,+>3 :+,4-5,>3F M>5 /D/280> /0 +,B/0 ./ *>34>3 <,D>3 8:/./

3/5 -80,*-C0/ - :+ 5-+=> ./ !PFPPP @>5-3 - &PFPPP @>5-39 ./ -*4,B,.-. 8>5 2/39 0:/=> 3, 0- /285/3- 45-C-D-

!PFPPP /0 *>34> :+,4-5,> ./ 0>3 K>34>3 ^,D>3 B- - 3/5 .,</5/+4/ 3, 0- /285/3- 45-C-D- 0-3 &PFPPP @>5-3 >

$PFPPP @>5-3F

R>3 K>34>3 <,D>3 3/ 8:/./+ *0-3,<,*-5 /+a

3`;3;Y;A;3  %4:54: L"B4: %4<.=4<&5"$4: > 478"?6$4: 

d/3:04-+ ./ ./*,3,>+/3 8-5- -.A:,5,5 *-8-*,.-. 85>.:*4,B-a 80-+4-9 /A:,8> ; >5=-+,O-*,6+ C?3,*-F

R>3 -55/+.-2,/+4>3 - 0-5=> 80-O> ; 0>3 *>34>3 ./ ./85/*,-*,6+ 4,/+./+ - 8/52-+/*/5 *>+34-+4/3 8>5 0-5=>3

8/5Q>.>3 ./ 4,/28> ; *-2C,-+ *:-+.> 3/ 4>2- :+- ./*,3,6+ ./ *-2C,> /+ 0- *-8-*,.-. 85>.:*4,B-F

3`;3;Y;A;A  %4:54: L"B4: .=4?=6<6$4: 

W>+ *>34>3 A:/ +> 4,/+/+ 5/0-*,6+ .,5/*4- *>+ 0-3 ,+34-0-*,>+/3 +, *>+ 0-3 >8/5-*,>+/3 ; 3/ ,+*:55/+

- ,+34-+*,-3 ./ 0- -.2,+,345-*,6+F 7D/280> 8:C0,*,.-.9 ,+B/34,=-*,6+9 /4*F

3`;3;Y;A;D  %4:54: L"B4: $& 4.&=6%"@# 

W>+ *>34>3 A:/ 3,5B/+ 8-5- >8/5-5 0- *-8-*,.-. 85>.:*4,B-F 7D/280>3a 3:8/5B,3,6+9

2-+4/+*,6+9 3/=:5>39 ,28:/34>3 /4*F

7+ -0=:+>3 4/U4>3 0>3 *>34>3 <,D>3 85>=5-2-.>3 ; 0- >8/5-*,6+ 5/*,C/+ /0 +>2C5/ ./ '*>34>3

<,D>3 .,3*5/*,>+-0/3'F

&- *e/J+-E) *E*1O()

A

K>34>3 n

KF^F (>4-0/3

Page 104: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 104/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GP$

&- *e/J+-E) '-+*1/+E)

K>34>3 n

 v CF ―u‖ 

A

3`;3;Y;D  %4:54: :&<" C  6="678&: 4 %4:54: :&<" L"B4: 

W>+ -A:/00>3 *>34>3 A:/ 3>+ 8-5*,-02/+4/ <,D>3 ; 8-5*,-02/+4/ B-5,-C0/3F R>3 K>34>3 3/2, B-5,-C0/3 4,/+/+ .,34,+4>3 8-45>+/3 ./ *>28>54-2,/+4>F 10=:+>3 4,/+./+ -

8/52-+/*/5 *>+34-+4/3 /+ *-+4,.-. 4>4-0 8-5- ./4/52,+-.>3 +,B/0/3 ./ 85>.:**,6+ ; 0:/=> -:2/+4-+ >

.,32,+:;/+ *>+<>52/ 3, 00/=- - >45> +,B/0F

7D/280>9 3/ 8:/./ 5/A:/5,5 :+ 3:8/5B,3>5 8-5- G - !P >C5/5>39 2,/+45-3 A:/ 3/ +/*/3,4-+ ! 8-5-

=5:8>3 ./ !G - $P >C5/5>3F 734>3 *>34>3 5/*,C/+ /0 +>2C5/ ./ '*>34>3 /3*-0>+-.>3'F

e45>3 *>34>3 3/2, B-5,-C0/3 /34?+ *>28:/34>3 8>5 :+- 8-54/ <,D- ; :+- 8-54/ B-5,-C0/a 7D/280>

d/8-5-*,6+ ; 2-+4/+*,6+X _-+4/+*,6+ /3 <,D- ; 5/8-5-*,6+ B- -:2/+4-.> ./ -*:/5.> -0 +,B/0 ./ -*4,B,.-.F

&)G1OE-1HE)

A

K>34>3 n

$P!P

Page 105: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 105/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GP%

= &.6=6%"@# Z < 6#5&#%"@# 

V#* 6#*5#* /*6+)#-+.#* */ ?'/./- 6#-*2./$+$ 6#,# A+$2+8)/* +) '-2$ /) A($526/ ./ 6+.+ 2-6$/,/-5#E

7+ =/+/5-09 0- .,34,+*,6+ /+45/ 0>3 *>34>3 <,D>39 B-5,-C0/3 ; 3/2, B-5,-C0/3 +> 3,/285/ ./8/+./ ./

0-3 *-5-*4/5Q34,*-3 +-4:5-0/3 ./ 0>3 *>34>3F R-3 ./*,3,>+/3 ./ 0- -.2,+,345-*,6+ -</*4-+ 0- .,34,+*,6+F M>5

/D/280>9 3, 0- 8>0Q4,*- ./ 0- /285/3- /3 >8>+/53/ -0 ./38,.> ./ 3:3 >C5/5>39 0>3 3-0-5,>3 ./ )34>3 3/

*>+B,/54/+ /+ <,D>F R- .,34,+*,6+ 4-2C,)+ ./8/+./ ./ 0- +-4:5-0/O- ./ 0-3 -*4,B,.-./3 ./ 0- /285/3-F 7+

-0=:+-3 /285/3-3 *>+ :+ -04> =5-.> ./ -:4>2-4,O-*,6+ ,+*0:3> 0- 2-+> ./ >C5- .,5/*4- 8>.5Q- 3/5

*>+3,./5-.- *>2> :+ *>34> <,D> 8>5 0- -.2,+,345-*,6+F

3`;A   C  6="67"8"$6$ $&8 %4:54 Z %4:54: <6=?"#68&: 

7+ *>+4-C,0,.-.9 0>3 *>34>3 B-5,-C0/3 3/ *>+3,./5-+ *>2> 8/5</*4-2/+4/ B-5,-C0/39 /3 ./*,59

-:2/+4-+ > .,32,+:;/+ *>+ 0>3 *-2C,>3 /+ 0- 85>.:**,6+ - :+ '5,42> *>+34-+4/'F 7+ /*>+>2Q-9 3/

*>+3,./5- A:/ 0>3 -:2/+4>3 > .,32,+:*,>+/3 /+ 0>3 *>34>3 B-5,-C0/3 >*:55/+ - :+ '5,42> B-5,-C0/'F K>2>

*>+3/*:/+*,-9 /+ /*>+>2Q- 4-2C,)+ *-2C,- /0 *>34> :+,4-5,> B-5,-C0/ 85>2/.,>9 *>+<>52/ -:2/+4- 0-

85>.:**,6+9 ./*0,+- -0 85,+*,8,>9 0:/=> 3/ +,B/0- ; <,+-02/+4/ -3*,/+./F R- ./*0,+-*,6+ /+ /0 *>34> :+,4-5,>

 B-5,-C0/ A:/ >*:55/ /+ 0>3 +,B/0/3 ./ 8>*- -*4,B,.-.9 3/ >5,=,+- ./C,.> - :+ -:2/+4> /+ 0- /<,*,/+*,-F M>5

/D/280> M5>.:**,6+ ./ 0- _-+> ./ eC5- -:2/+4- ./C,.> - 0- /U8/5,/+*,- A:/ .- /0 -85/+.,O-D/F 70

-:2/+4> /+ /0 *>34> :+,4-5,> B-5,-C0/ >*:55/ /+ 0>3 +,B/0/3 ./ >8/5-*,6+ 2:; /0/B-.>3 *:-+.> 3/ 00/=- -0

8:+4> ./ :4,0,.-. ./*5/*,/+4/9 /+ /34/ 8:+4> >*:55/+ /2C>4/00-2,/+4>39 0-3 ,+34-0-*,>+/3 3/ :4,0,O-+/U*/3,B-2/+4/9 /4*F

R- 3,280,<,*-*,6+ *>+4-C0/ ./ 0- 0,+/-0,.-. ./ 0>3 *>34>39 +> +,/=- 0- B-0,./O ./0 *>+*/84>

/*>+62,*>9 3,+> A:/ 3/ -<,52- /+ /0 @/*@> A:/ 0-3 /285/3-3 /+ 0- 85?*4,*- +:+*- >8/5-+ - +,B/0/3 4-+

C-D>3 > 4-+ -04>3 ./ 85>.:**,6+F

K>34>3 n

Page 106: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 106/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GP&

Promedio de C. V / “u” 

R>3 *>34>3 :+,4-5,>3 A:/ 3/ :3-+ /+ K>+4-C,0,.-.9 3>+ '*>34>3 85>2/.,>3 :+,4-5,>3'F 7+ /*>+>2Q-

3/ :4,0,O-+ 0>3 '*>34>3 2-5=,+-0/3'9 A:/ /3 /0 -:2/+4> A:/ 3/ 85>.:*/ /+ 0>3 *>34>3 4>4-0/3 ./C,.> - 0-

85>.:**,6+ ./ :+- :+,.-. -.,*,>+-0 2?3 ]/3 /A:,B-0/+4/ - 0- ./5,B-.- ./0 K>34> (>4-09 5/38/*4> - 0-

85>.:**,6+ .K(o.A9 ; /0 *>34> 4>4-0 /3 0- ,+4/=5-0 ./ 0- 3:2- ./ *>34> 2-5=,+-0F

?=6L"%4: $& 86: %>=C6: $& %4:54: 

&- *e/J+-E) GE-*1XO() 

K>34>3 n A K>34>3 n A

&- *e/J+-E) (GE-,J+GE)

R- *:5B- ./0 *>34> 2-5=,+-0 3/ /0/B- 2?3 85>+4> ; - :+ 2-;>5 5,42> ./ -*/0/5-*,6+ A:/ /0 *>34>:+,4-5,> B-5,-C0/ 85>2/.,>F 734> >*:55/ ./C,.> - A:/ 0- *:5B- 8-5- /0 *>34> :+,4-5,> B-5,-C0/ /3

-*:2:0-4,B- ; /34? -</*4-.> 8>5 .-4>3 -+4/5,>5/3F R- *:5B- 8-5- /0 *>34> :+,4-5,> 4>4-0 85>2/.,> /+

4)52,+>3 /*>+62,*>3 3:C/ >C0,*:-2/+4/ /+ 0>3 +,B/0/3 ./ 85>.:**,6+ 2:; -04>9 /34> /3 *-:3-.> 8>5 :+

-0O- /+ 0>3 *>34>3 2-5=,+-0/3 A:/ *>28/+3- /0 /</*4> ./ 0- ./*0,+-*,6+ ./ 0>3 *>34>3F 7+ *-2C,> /+

4)52,+>3 *>+4-C0/39 0- *:5B- 8-5- /0 *>34> :+,4-5,> 4>4-0 85>2/.,> +:+*- 3/ /0/B-F

Costos F. Totales

Promedio de Costo total / “u” 

Promedio de C. F. /“u” 

Costo Promedio

Costo Marginal

Page 107: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 107/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GPI

3`;A;3  :&?n# 84: 6:.&%54: &%4#@<"%4: "#C48>%=6$4: &# 86 54<6 $& $&%":"4#&: 

M-5- 4>2-5 :+- ./*,3,6+ ./3./ :+ 8:+4> ./ B,34- /*>+62,*> -./*:-.>9 /3 +/*/3-5,> -3,=+-5

 B-0>5/3 *:-+4,4-4,B>3 - *-.- -04/5+-4,B- /+ /34:.,>9 ./ -@Q A:/ 0>3 *>34>3 D:/=:/+ :+ 8-8/0 2:; ,28>54-+4/

/+ /0 85>*/3> ./ 0- 4>2- ./ ./*,3,>+/3F

R>3 *>34>3 C-D> /34/ -38/*4> -.A:,/5/+ :+ 3/+4,.> .,</5/+4/ ; ./+>2,+-*,>+/3 .,B/53-3 4-0/3

*>2>a

3`;A;3;3  %4:54: "#%=&<&#568&: 

W>+ *>34>3 -.,*,>+-0/3 /+ 0>3 A:/ +> 3/ ,+*:55,5Q- 3, +> 3/ /285/+./ :+ ./4/52,+-.>

85>;/*4>F (-2C,)+ 8:/./+ *>+3,./5-53/ *>2> 0- .,</5/+*,- /+ *>34>3 4>4-0/3 A:/ 5/3:04- ./ :+ *-2C,>F

7+ /34/ 3/+4,.> 3>+ *>34>3 .,</5/+*,-0/3F 1:+A:/ 0>3 *>34>3 B-5,-C0/3 =/+/5-02/+4/ 3>+ ,+*5/2/+4-0/39 0>3

*>34>3 ,+*5/2/+4-0/3 8:/./+ ,+*0:,5 *>34>3 <,D>3F

M>5 /D/280>a 0- ./*,3,6+ 8:/./ ,280,*-5 :+ *-2C,> /+ 0- /3*-0- ./ 85>.:**,6+F

M-5- /B-0:-5 0- *>+B/+,/+*,- > +> ./ :+- ./*,3,6+ 3/ *>28-5-+a

Z+=5/3>3 Z+*5/2/+4-0/3 ],+=5/3>3 -.,*,>+-0/3 A:/ *-:3-5Q- /0 *-2C,>[

2/+>3 K>34>3 Z+*5/2/+4-0/3

\4,0,.-. Z+*5/2/+4-0

W60> /3 *>+B/+,/+4/ 0- ./*,3,6+ 3, /0 Z+=5/3> Z+*5/2/+4-0 /3 2-;>5 A:/ /0 K>34> Z+*5/2/+4-0F

7D/280>a R- ./*,3,6+ ./ C-D-5 /0 85/*,> ./ B/+4- ./ :+ -54Q*:0> ./ nG% - nG!  :+ -:2/+4> ./ 0-3 B/+4-3

./ GPFPPP :F - G%FPPP :F R>3 KF fF 3>+ ./ n%F

=()'O*1HE) =()'O*1HE)

=(1O() H()T'e) H( G1JX+E 

 f7N(1W nG%PFPPP nGcPFPPP

KeW(eW f1dZ1SR7W %PFPPP I%FPPP

_F `7 KeN(dZS\KZeN GPPFPPP GP%FPPP

KeW(eW ^ZqeW $PFPPP $PFPPP

\(F Sd\(1 &PFPPP &%FPPP

Page 108: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 108/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GPc

 6-hO+)+) "-G/(J(-*1O

Z+=5/3> Z+*5/2/+4-0a n#PFPPP

K>34>3 Z+*5/2/+4-0/3a !%FPPP

\4,0,.-. Z+*5/2/+4-0 n %FPPP

M>5 0> 4-+4>9 *>+B,/+/ 4>2-5 0- ./*,3,6+ ./ C-D-5 /0 85/*,>a /+ n#F E

K:-+.> :+- ./*,3,6+ ,280,*- :+- .,32,+:*,6+ ./0 +,B/0 ./ 85>.:**,6+9 0>3 *>34>3 -</*4-.>3

5/*,C/+ /0 +>2C5/ ./ '*>34>3 ./*5/2/+4-0/3'F

3`;A;3;A  %4:54: $& 4.4=5>#"$6$ 4 "<.>56$4: 

W>+ *>34>3 @,8>4)4,*>3 /+ /0 3/+4,.> A:/ 3>+ -D/+>3 - 0- *>+4-C,0,.-. > +> 5/*>+>*,.>3 *>2> 4-0/39

/+ /34/ 3/+4,.> 3/ .,*/ A:/ 3>+ *>34>3 4/65,*>3 ; ./ =5-+ ,28>54-+*,- /+ 0- 4>2- ./ ./*,3,>+/3 <,+-+*,/5-3F

K>28>+/+ 0>3 *>34>3 ./ >8>54:+,.-.: ―0>3 5/*:53>3 /*>+62,*>3 - A:/ 3/ 5/+:+*,- *>2> *>+3/*:/+*,- ./

-*/84-5 :+- -04/5+-4,B- /+ 0:=-5 ./ >45-'9 *>2> 8>5 /D/280> /0 3:/0.> A:/ ./D6 ./ =-+-5 /0 /285/3-5,> 8>5

./.,*-53/ - :+ +/=>*,>9 ./C/ 3/5 *>+3,./5-.> *>2> *>34> ./ >8>54:+,.-. ./ )34/9 -b+ *:-+.> )0 ./*,.-

+> *>C5-5 3:/0.> @-34- :+- </*@- ./4/52,+-.-F

e45> 4,8> ./ *>34> ,28:4-.> /3 /0 *>34> ./ *-8,4-0 ./ :+- /285/3- A:/ /3 /0 *>34> ./ >8>54:+,.-.

./0 *-8,4-0 ./ .,*@- /285/3-9 /0 *:-0 /3 :+ *>+*/84> C?3,*> /+ 0- ./*,3,6+ ./ ,+B/54,5 /+ :+ 85>;/*4>9 B/+./59 5//280-O-5 /A:,8>9 /4*F

3`;A;3;D  %4:54: C"#%>86$4: 

\+ *>34> B,+*:0-.> /3 -A:/0 *:;> ./3/2C>03> 3/ @- 5/-0,O-.> /+ /0 8-3-.> ; A:/ +> 3/5? -</*4-.>

8>5 :+- ./4/52,+-.- ./*,3,6+ A:/ /34) C-D> *>+3,./5-*,6+F (-2C,)+ 3/ 0/ *>+>*/ *>+ /0 +>2C5/ ./ *>34>3

8-3-.>3 > *>34>3 @:+.,.>3F

3`;A;3;K  %4:54 6 5="7>"$4 73 /0 5/3:04-.> ./ :+ 85>*/3> A:/ 5/*>+>*/ :+ *>34> *>2> 5/0-4,B> - :+- 3,4:-*,6+ 8-54,*:0-5F R>3

*>34>3 -45,C:,.>3 8:/./+ 3/5 > C,/+ :+ *>34> ./ >8>54:+,.-. >9 :+ *>34> A:/ 5/85/3/+4- :+- /5>=-*,6+F

70 >CD/4,B> ./ /34/ *>34> /3 >C4/+/5 :+ 2/D>5 5/*>+>*,2,/+4> ./0 ,28-*4> /*>+62,*> ./ :+ /B/+4> >

./*,3,6+ ; +> 4>2-5 0-3 *>3-3 8>5 3: B-0>5 -8-5/+4/F

Page 109: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 109/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GPH

3`;A;3;Q  %4:54: 6.86]678&: 

W>+ -A:/00>3 *>34>3 A:/ 8:/./+ 3/5 ./380-O-.>3 @-*,- /0 <:4:5> *>+ 8>*> > *-3, +,+=b+ /</*4>

3>C5/ 0- /<,*,/+*,- ./ 0-3 >8/5-*,>+/3 *>55,/+4/3F

3`;A;3;V  %4:54: & C"5678&: & "#&C"5678&: W/ 0/3 *>+>*/ *>2> *>34>3 B,B>3 ; *>34>3 /U4,+=:,.>3 5/38/*4,B-2/+4/F R>3 B,B>3 3>+ -A:/00>3 A:/

5/85/3/+4-+ /5>=-*,>+/3 /+ /0 <:4:5>9 ./ -@Q A:/ 3/-+ 0>3 b+,*>3 *>34>3 5/0/B-+4/3 8-5- -+-0,O-5 :+-

./*,3,6+ - *>54> 80-O> ]7D/280>a */55-5 :+ ./8-54-2/+4>[F

R>3 *>34>3 ,+/B,4-C0/3 > /U4,+=:,.>3 5/85/3/+4-+ 5/*:53>3 /*>+62,*>3 A:/ @-+ 3,.> *>285>2/4,.>3 ; +>

3/ 8:/./+ 5/*:8/5-5F M>5 /D/280>a /0 .,+/5> =-34-.> /+ :+ /34:.,> ./ ,+=/+,/5Q-9 8-5- ./*,.,5 3, 3/=:,5

/</*4:-+.> /0 85>;/*4> > -3:2,5 >45>F R>3 *>34>3 ,+/B,4-C0/3 +> -</*4-+ ./*,3,>+/3 <,+-+*,/5-3 <:4:5-3F

3`;A;3;Y  %4:54: %4#5=48678&: Z #4 %4#5=48678&: 

R>3 *>34>3 *>+45>0-C0/3 3>+ -A:/00>3 A:/ /34?+ .,5/*4-2/+4/ ,+<0:/+*,-.>3 8>5 :+ /D/*:4,B>

./+45> ./ :+ 0-83> ./ 4,/28> ./<,+,.>F

734- ./<,+,*,6+ 4,/+/ .>3 ,+=5/.,/+4/3 ,28>54-+4/3 A:/ 3>+a

M &O -+0(O H( 1OG1-G( H( O1 1'*E/+H1H I'-G+E-1O;

M &O O1T)E H( *+(JTE H(I+-+HE2 W, /0 80-O> /3 2:; 0-5=> *-3, 4>.>3 0>3 *>34>3 8>.5Q-+ 3/5 *>+45>0-.>3

8>5 -0=:,/+ /+ 0- >5=-+,O-*,6+9 8>5 /D/280>a 0-3 ./85/*,-*,>+/3 3/5Q-+ *>+45>0-C0/3 /+ :+ R-5=> M0-O>F

734- *0-3,<,*-*,6+ ./ *>34>3 3/ :3- /+ /0 *-3> ./ 3,34/2-3 ./ *>+4-C,0,.-. 8>5 +,B/0/3 ./ 5/38>+3-C,0,.-./39

/+ A:/ 3/ /B-0b- /0 ./3/28/V> /D/*:4,B> 3>0-2/+4/ 3>C5/ 0- C-3/ ./ -A:/00>3 5:C5>3 3:D/4>3 - 3: *>+45>0

]*/+45> ./ *>34>[F

3`;A;3;Y;3  %4:54 $& =&.4:"%"@# 4 $& =&&<.86]4 

73 /0 *>34> 3/0/**,>+-.> ./ :+ 2/5*-.> <:4:5> A:/ 3/ -+4,*,8- > ./ :+ 2/5*-.>

*>+4/28>5?+/>F 734/ *>+*/84> 3/ :3- -280,-2/+4/ /+ 0- *>+</**,6+ ./ 85/3:8:/34>3F

Page 110: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 110/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GGP

33  %4:5&4 .4= @=$&#&: $& 5=676B4 

W/ :4,0,O- *:-+.> /0 85>.:*4> 3/ <-C5,*- ./ -*:/5.> *>+ 0-3 /38/*,<,*-*,>+/3 ./0 *0,/+4/ ; /0 85/*,> 3/

-3>*,- /345/*@-2/+4/ -0 *>34> /34,2-.>F

7+ /34/ 3,34/2- ./ *>34/>9 0>3 /0/2/+4>3 ./0 *>34> ./ 85>.:**,6+ 3/ -*:2:0-+ 8>5 *-.- >5./+ ./

45-C-D>F

`>*:2/+4>3 C?3,*>3 A:/ 3/ :4,0,O-+ /+ /0 *>34/> 8>5 65./+/3 ./ 45-C-D>

e5./+ ./ 45-C-D> : @>D- ./ *>34>a /+ 0- *:-0 3/ -*:2:0-+ 0>3 *>34>3 ./ 2-4/5,- 85,2- > 2-4/5,-0/3

.,5/*4>39 2-+> ./ >C5- .,5/*4- ; *>34>3 ,+.,5/*4>3 ./ <-C5,*-*,6+F

d/A:/5,2,/+4> ./ 2-4/5,-0/3a 3/ :3- 8-5- 3>0,*,4-5 0>3 2-4/5,-0/3 > 2-4/5,-3 85,2-3 A:/ 3/ /280/-+ /+ 0-

>5./+ ./ 45-C-D>FS>0/4-3 ./ 45-C-D>a 0- *:-0 3,5B/ 8-5- 5/=,345-5 0- 2-+> ./ >C5- .,5/*4- A:/ 3/ *-5=- - 0-3 65./+/3 ./ 45-C-D>F

33;3  %4#567"8"]6%"@# $&8 %4:5&4 .4= @=$&#&: $& 5=676B4 

K>+3:2> ./ 2-4/5,-0/3

`7S7 J1S7d Mde`\KKZeN 7N MdeK7WeW

]ed`7N I$[ _1(7dZ1R7W

`7(1RR7

 

\4,0,O-*,6+ 2-+> ./ >C5-

`7S7 J1S7d Mde`\KKZeN 7N MdeK7WeW

]ed`7N I$[

W\7R`eWMed M1L1d 

`7(1RR7

 

Page 111: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 111/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GGG

\4,0,O-*,6+ ./ =-34>3 ./ <-C5,*-*,6+

`7S7 J1S7d Mde`\KKZeN 7N MdeK7WeW   lll 

]ed`7N I$[

KeW(eW ZN`Zd7K(eW 7 lll  ^1SF 1MRZK1`eW

`7(1RR7

 

33;A  l.4= _>a :& >5"8"]6 86 %>&#56 “%4:54: "#$"=&%54: $& L67="%6%"@# 6.8"%6$4:”? 

M>5A:/a R>3 *>34>3 ,+.,5/*4>3 ./ <-C5,*-*,6+ *>55/38>+./+ 8-5- 4>.- 0- <?C5,*- ; 360> :+- 8-54/ 0/

*>28/4/ - 0-3 65./+/3 ./ 45-C-D>F

70 4>4-0 ./ 0>3 *>34>3 ,+.,5/*4>3 ./ <-C5,*-*,6+ +> 3/ *>+>*/+ @-34- A:/ /0 b04,2> ./ /00>3 +> 3/

@-;- *>+4-C,0,O-.>9 -0=b+ 4,/28> ./38:)3 ./ 4/52,+-5 /0 8/5Q>.> ./ >8/5-*,>+/3F

70 5/=,345> ./ 0>3 *>34>3 ,+.,5/*4>3 ./ <-C5,*-*,6+ 5/A:,/5/ *-0*:0-5 *>+ -+4,*,8-*,6+ .,*@>3 *>34>39

8-5- -3Q -80,*-5 8-54/ ./ /00>3 - 0>3 85>.:*4>3 A:/ 3-0/+ ./ 0- <?C5,*-F

M-5- -80,*-5 0>3 *>34>3 ,+.,5/*4>3 ./ <-C5,*-*,6+ ]-+4,*,8-.>3[ /3 +/*/3-5,> 85,2/5>9 /34-C0/*/5 :+

+,B/0 ./ -*4,B,.-. ; ./38:)3 :+- C-3/F R- /0/**,6+ ./ :+- C-3/ ./8/+./ ./ 0- +-4:5-0/O- ./ 0-3 -*4,B,.-./3

./ 85>.:**,6+F R-3 C-3/3 2?3 :3-.-3 3>+a

u J>5-3 ./ 2-+> ./ >C5- .,5/*4-

u J>5-3 2?A:,+-3

u K>34> ./ 0- 2-+> ./ >C5- .,5/*4-

R>3 *>34>3 ,+.,5/*4>3 ./ <-C5,*-*,6+ -80,*-.>3 ./C/+ *>28-5-53/ *>+ 0>3 *>34>3 ,+.,5/*4>3 ./

<-C5,*-*,6+ 5/-0/3F

R-3 B-5,-*,>+/3 A:/ 3/ >C4/+=-+9 3/ *,/55-+ *>+45- 0- *:/+4- 'K>34> ./ f/+4-'9 'd/3:04-.>3 ./0

M/5Q>.>' > 3/ 85>55-4/-+ /+ 0- 85>.:**,6+ ./0 8/5Q>.>F

K:-+.> 3/ @- 4/52,+-.> /0 85>*/3> *>55/38>+.,/+4/ - :+- >5./+ ./ 45-C-D>9 3/ 3:2-+ 0>3 45/3

/0/2/+4>3 ./0 *>34> ./ <-C5,*-*,6+ A:/ 3/ @-+ *>+*/+45-.> /+ 0- @>D- ./ *>34> 5/38/*4,B-F

R- 3:2- >C4/+,.- 5/85/3/+4- /0 *>34> 4>4-0 ./ 0>3 85>.:*4>3 <-C5,*-.>39 5/38/*4> - /3- >5./+ ./

45-C-D> ; 3/ 45-38-3- - 0-3 65./+/3 ./ 45-C-D>3 4/52,+-.>39 2/.,-+4/ /0 3,=:,/+4/ -3,/+4>F

Page 112: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 112/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GG!

`7S7 J1S7d 

Mde`\K(eW (7d_ZN1`eW

]ed`7N I$[Mde`\KKZeN 7N MdeK7WeW

]ed`7N I$[

`7(1RR7

 

70 *>34> :+,4-5,> ./ *-.- 45-C-D> 3/ >C4,/+/ .,B,.,/+.> /0 *>34> 4>4-0 ./ )34- 8>5 0-3 :+,.-./3 4>4-0/3 ./ 0-

>5./+ ./ 45-C-D>F

Page 113: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 113/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GG#

3A  %4:54: .4= .=4%&:4: 

8E) GE)*E) H( T/EH'GG+,-2  2-4/5,-0/39 2-+> ./ >C5- ; =-34>3 ./ <-C5,*-*,6+9 3/ -*:2:0-+ 8>5

./8-54-2/+4> > */+45> ./ *>34>3F

$(T1/*1J(-*E a .,B,3,6+ <:+*,>+-0 /+ :+- <?C5,*-9 .>+./ 3/ 5/-0,O-+ 85>*/3>3 ./ 2-+:<-*4:5-

5/0-*,>+-.>3F

%(-*/E H( GE)*E)2  *:-+.> .>3 > 2?3 85>*/3>3 3/ /D/*:4-+ /+ :+ ./8-54-2/+4>9 /3 *>+B/+,/+4/

.,B,.,5 0- :+,.-. ./8-54-2/+4-0 /+ */+45>3 ./ *>34>3F

K:-+.> 0-3 :+,.-./3 3/ 4/52,+-+ /+ :+ ./8-54-2/+4> > */+45> ./ *>34>9 )34-3 3/ 45-+3<,/5/+ -0

3,=:,/+4/9 D:+4> *>+ 3:3 *>55/38>+.,/+4/3 *>34>3F

\+- :+,.-. 4/52,+-.- ./ :+ ./8-54-2/+4> > */+45> ./ *>34>9 3/ *>+B,/54/ /+ 0- 2-4/5,- 85,2- ./03,=:,/+4/ @-34- A:/ 0-3 :+,.-./3 3/ *>+B,/54-+ /+ -54Q*:0>3 4/52,+-.>3F

8E) GE)*E) '-+*1/+E) H( '- H(T1/*1J(-*E E G(-*/E H( GE)*E) )( X1)1- (- O1 /(O1G+,- (-*/(

OE) GE)*E) +-G'//+HE) H'/1-*( '- H(*(/J+-1HE T(/+EHE F O1 T/EH'GG+,- (f'+01O(-*(;

3A;3  l_>a :& &#5"&#$& .4= .=4$>%%"@# &_>"C68&#5&m

73 0- 85>.:**,6+ /+ :+,.-./3 <Q3,*-39 *>+3,./5-+.> 0-3 :+,.-./3 4/52,+-.-3 ; 0-3 :+,.-./3 /+

85>*/3>9 *>+B/54,.-3 /+ :+,.-./3 /A:,B-0/+4/3 4/52,+-.-3F

•K62> 3/ *>+B,/54/+ 0-3 :+,.-./3 /+ 85>*/3> /+ :+,.-./3 /A:,B-0/+4/3 4/52,+-.-3€

_:04,80,*-+.> 0-3 :+,.-./3 /+ 85>*/3> 8>5 /0 =5-.> ./ 4/52,+-*,6+ > =5-.> ./ -B-+*/F

7D/280>a

NT '\' 7N MdeK7We r `7 (7d_ZN1KZ N 7w\Zf1R7N(7W (7d_ZN1`1W

GP &Pr & 

Page 114: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 114/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GG$

"H(-*+H1H Ig)+G1 H( O1) '-+H1H() (- '- H(T1/*1J(-*E E G(-*/E H( GE)*E

3A;A  &56.6: $&8 .=4%&:4 $& =&?":5=4 $& 84: $654: 

G[ -0 2>2/+4> ./ ,+*:55,5 /+ 0>3 *>34>3F

![ -0 /+45-5 /+ 85>*/3> ./ 85>.:**,6+F

#[ -0 4/52,+-5 0>3 85>.:*4>3F

$[ -0 B/+./5 0>3 85>.:*4>3 4/52,+-.>3F

G 74-8-a 0- /285/3- ,+*:55/ /+ 0>3 *>34>3

`7S7 J1S7d _1(7dZ1W MdZ_1W lUUU

_1Ne 7 eSd1 lUUU

KeW(eW ZN`Zd7K(eW 7 1SdZK1KZmN lUUU

Mdef77`ed7W k;;;  

`7(1RR7

 

! 74-8-a 8>5 0> *>+3:2,.>9 =-34-.> > ,+*:55,.> /+ /0 85>*/3> ./ 85>.:**,6+

`7S7 J1S7d Mde`\K(eW 7N MdeK7We]_FMF[ 1---

_1(7dZ1R7W 1---

Mde`\K(eW 7N MdeK7We]_FeF[ SCCC

_1Ne 7 eSd1 SCCCMde`\K(eW 7N MdeK7We]LF^F[ K***KeW(eW ZN`Zd7K(eW 7 1SdF K***

`7(1RR7

 

UNIDADES

INICIALES

ENPROCESO

UNIDADES

EMPEZADAS

RECIBIDAS 

UNIDADE

S

TRANSFE

-

UNIDADES

TERMINAD.

Y AUNDISPONIB. 

UNIDADES

FINALES

ENPROCESO

+ =+

+

Page 115: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 115/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GG%

# 74-8-a 4/52,+-*,6+ ./ 0>3 85>.:*4>3

`7S7 J1S7d 

Mde`\K(eW (7d_ZN1`eW `...

Mde`\K(eW 7N MdeK7We]_FMF[ 7///

Mde`\K(eW 7N MdeK7We]_FeF[ ^<<<  Mde`\K(eW 7N MdeK7We]LF^F[ L===  

`7(1RR7

 

$ 74-8-a B/+4- ./ 0>3 85>.:*4>3

`7S7 J1S7d KeW(e 7 f7N(1 J@@@

Mde`\K(eW (7d_ZN1`eW qDDD

`7(1RR7

 

3A;A;3  %="5&="4: .6=6 .=4==65&6= 84: %4:54: "#$"=&%54: $& L67="%6%"@# 

G[ 7+ <:+*,6+ ./ 0-3 @>5-3 E @>2C5/ :4,0,O-.-3 /+ *-.- ./8-54-2/+4> : >5./+ ./ 45-C-D>F

![ 7+ <:+*,6+ ./ 0-3 @>5-3 2?A:,+-3 :4,0,O-.-3 /+ *-.- ./8-54-2/+4> : >5./+ ./ 45-C-D>F

#[ 7+ <:+*,6+ ./ 0- *-+4,.-. ./ 2-4/5,- 85,2- :4,0,O-.- /+ *-.- 85>*/3>F

$[ 7+ <:+*,6+ ./ 0>3 85>.:*4>3 4/52,+-.>3 /+ *-.- 85>*/3>F

%[ 7+ <:+*,6+ ./ 0>3 85>.:*4>3 85>*/3-.>3 /+ *-.- ./8-54-2/+4>F&[ e45>3F

M5>*/.,2,/+4>

GT[ W/0/**,>+-5 :+ *5,4/5,> ./ 85>55-4/> 8-5- *-.- 4,8> ./ *>34>3 ,+.,5/*4> ./ <-C5,*-*,6+9 3, /3 +/*/3-5,>F

!T[ W:2-5 0-3 @>5-3 E 2?A:,+-9 : @>5-3 E @>2C5/9 > 85>.:*4>3 4/52,+-.>39 >FFF 74*F9 `/ *-.- 85>*/3> >

./8-54-2/+4>F

3º) Calcular una ―tarifa unitaria‖ de *>34>3 ,+.,5/*4>3 ./ <-C5,*-*,6+9 .,B,.,/+.> /0 4>4-0 ./ *-.- *>34>3 -85>55-4/-5 8>5 0- 3:2- ./0 8:+4> ]#T[F

$T[ _:04,8licar la ―tarifa unitaria‖ por la cantidad de unidades determinadas en cada proceso o

./8-54-2/+4> /+ /0 8:+4> ]!T[F

Page 116: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 116/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GG&

3A;A;A   6  B>:5&: 6 84: %4:54: 6.8"%6$4: 

GT[ W:C E -80,*-*,6+ ./ *>34>3 ,+.,5/*4>3 ./ <-C5,*-*,6+

73 /0 *-3> *:-+.> /0 *>34> ,+.,5/*4> ./ <-C5,*-*,6+ /</*4,B-2/+4/ ,+*:55,.> /3 2-;>5 A:/ /0 *>34>

-80,*-.>9 -3,=+-.> > 85>55-4/-.>F

!T[ W>C5/ E -80,*-*,6+ ./ *>34>3 ,+.,5/*4>3 ./ <-C5,*-*,6+

W:*/./ *:-+.> 0>3 *>34>3 ,+.,5/*4>3 ./ <-C5,*-*,6+ /</*4,B-2/+4/ ,+*:55,.>3 3/-+ 2/+>5/3 A:/ 0>3

*>34>3 -80,*-.>39 -3,=+-.>3 > 85>55-4/-.>3F

Cuando la diferencia entre lo efectivo y lo aplicado es pequeña, se salda con la cuenta ―Costo de Ventas‖,

*-5=?+.>0- /+ *-3> ./ 3:C -80,*-*,6+9 ; -C>+?+.>0- *:-+.> @-; 3>C5/ -80,*-*,6+ ./ *>34>3F

7D/280>a

W:C E -80,*-*,6+ ./ *>34>3a

`7S7 J1S7d KeW(e 7 f7N(1 _222

KeW(eW ZN`Zd7K(eW `7^1SdZK1KZeN _222

`7(1RR7

 

W>C5/ E -80,*-*,6+ ./ *>34>3a

`7S7 J1S7d KeW(eW ZN`Zd7K(eW 7 N+++^1SdZK1KZeN

KeW(e `7 f7N(1 N+++

`7(1RR7

 

Si la diferencia es más significativa, entonces se utiliza, en reemplazo de la cuenta ―Costo de Venta‖, la

cuenta ―Productos Terminados‖. 

7+ 4>.> *-3>9 360> 3/ 45-4- ./ -D:34/3 *>+4-C0/3 A:/ +> -</*4-+ 0>3 *>34>3 /38/*Q<,*>3F

Page 117: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 117/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GGI

3A;D  .a=$"$6: $& .=4$>%%"@# 

3A;D;3  .=4$>%54: $&5&="4=6$4: 

`/C/+ 5/85>*/3-53/9 3, /3 :+ ./4/5,>5> +>52-09 /0 *>34> ./ 5/85>*/3-5 ./C/ *>+3,./5-53/ /+ 0>3

*>34>3 ,+.,5/*4>3 ./ <-C5,*-*,6+ - -3,=+-5FW, /3 -+>52-09 /0 *>34> ./ 5/85>*/3-5 3/ 45-4- *>2> :+ =-34> -.,*,>+-09 +> ./+45> ./0 *>34> ./0

85>.:*4>F

3A;D;A  .=4$>%54: $&L&%5>4:4: 

W/ B/+./+ *>2> 85>.:*4>3 ./ 3/=:+.- 3/0/**,6+9 3, /3 ./</*4:>3> +>52-09 0- .,</5/+*,- /+45/ /0

85/*,> ./ B/+4- ; /0 *>34> ;- -3,=+-.> 3/ 85>55-4/- /+45/ 0>3 85>.:*4>3 C:/+>3F

W, /3 ./</*4:>3> -+>52-09 ./C/ 45-4-53/ *>2> :+ =-34> 2?3 ; +> *>2> :+ *>34>F

3A;D;D  .=4$>%54: $& $&:&%c4 

M>5 /D/280> 0>3 5/*>54/39 3/ B/+./+ /+ :+ B-0>5 2-;>5 A:/ 3: *>34>9 /+ /34/ *-3>9 3/ =-+-9 0> A:/

/+ ./<,+,4,B- 5/.:*/ 0>3 =-34>3 ./ <-C5,*-*,6+F

3A;D;K  .=4$>%54: .6=6 $&:.&=$"%"4: 

W/ ./C/ 8-=-5 8-5- A:/ 3/ 0>3 00/B/+9 8>5 0> 4-+4> ./C/+ *>+3,./5-53/ /+ 0- 4-3- ./ -3,=+-*,6+ ./

0>3 =-34>3 ./ <-C5,*-*,6+F 

Page 118: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 118/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GGc

3D  %4:54: &:5"<6$4: 

W>+ 0>3 *>34>3 A:/ 8:/./ 4/+/5 :+ 85>.:*4> > :+ 85>*/3> .:5-+4/ :+ 8/5Q>.> ./ 4,/28>F

^5/*:/+4/2/+4/9 /34/ *>34>9 3/ C-3- /+ -0=b+ 85>2/.,> ./ *>34>3 ./ 85>.:**,6+ 5/-0/39 ./ 8/5,>.>3

-+4/5,>5/3 -D:34-.>39 8-5- 5/<0/D-5 0>3 *-2C,>3 /+ *>+.,*,>+/3 /*>+62,*-39 ./ /<,*,/+*,-9 /4*F

3D;3  $&5&=<"#6%"@# $& 84: %4:54: &:5"<6$4: 

73 +/*/3-5,> /34,2-5 *-.- :+> ./ 0>3 /0/2/+4>3 ./0 *>34> ./ 85>.:**,6+a

 1[ _-4/5,-  M5,2-a 0- /34,2-*,6+ ./0 B-0>5 4>4-0 ./ 2-4/5,- 85,2- A:/ B- - ,+4/5B/+,5 /+ /0 85>*/3> ./

85>.:**,6+9 3/ C-3- /+ .>3 B-5,-C0/3a 85/*,> ; *-+4,.-.;

S[ _-+> ./ >C5-a 4-2C,)+ 3/ C-3- /+ 0- /34,2-*,6+ ./ .>3 B-5,-C0/3a 85/*,> ; *-+4,.-.F

K[ K>34>3 ,+.,5/*4>3 ./ <-C5,*-*,6+a 8-5- /34,2-5 0>3 *>34>3 ,+.,5/*4>3 ./ <-C5,*-*,6+ /3 +/*/3-5,>a

u `/4/52,+-5 :+ 8/5,>.> ./ 4,/28>F

u 7U85/3-5 0- 85>.:**,6+ /+ 4)52,+>3 ./ :+- C-3/F

u 734,2-5 0>3 *>34>3 ,+.,5/*4>3 ./ <-C5,*-*,6+ /+ C-3/ - .-4>3 @,3465,*>3F

u K-0*:0-5 :+- *:>4- :+,4-5,- ./ *>34>3 ,+.,5/*4>3 ./ <-C5,*-*,6+F

Page 119: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 119/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GGH

3K  %4:54: &:59#$6=  

R>3 ,+<>52/3 ./ *>+45>0 /34?+ 0,=-.>3 -0 *>+*/84> ./ d/38>+3-C,0,.-.F9 /34> ,280,*- ./<,+,5a

  R- /345:*4:5- ./ 5/38>+3-C,0,.-.F

  R>3 /34?+.-5/3 ./ 5/3:04-.>3 - :4,0,O-5F

  R- :4,0,O-*,6+ ./ 0-3 ./3B,-*,>+/3 ./0 /34?+.-5F

K>34>3 /34?+.-5/3F W>+ *>34>3 85/./4/52,+-.>3 *,/+4Q<,*-2/+4/9 /U85/3-.>3 8>5 :+,.-.9 ; A:/

./C/5Q-+ 3/5 +/*/3-5,>3 8-5- >C4/+/5 :+ 2-4/5,-0 /38/*Q<,*>9 85>.:*4> > 3/5B,*,>F

>- 6/GU+0E H( GE)*E) &)*h-H1/ TE)(( */() )(GG+E-()2GFE M5/*,>3 ; 4-3-3 /34?+.-5/3a 3>+ 0>3 85/*,>3 /34,2-.>3 8-5- >C4/+/5 :+- :+,.-. ./ 2-4/5,-0 *>285-.>9

; /0 *>34> ./ 0-3 .,</5/+4/3 @>5-3 @>2C5/ - :3-5 /+ 0- 85>.:**,6+F

!FE K>34>3 ./ >8/5-*,>+/3 /34?+.-5/3a 3>+ 0-3 *-+4,.-./3 ./ 0>3 .,</5/+4/3 ,+8:43 8-5- 5/-0,O-5 *-.-

>8/5-*,6+ ./ 85>.:**,6+9 ./+45> ./ 0- *-8-*,.-. ./ 85>.:**,6+9 2:04,80,*-.> 8>5 3:3 85/*,>3 /34?+.-5/3F

#FE K>34>3 8>5 85>.:*4>3 /34?+.-5/3a 3>+ 0-3 *-+4,.-./3 ./ 0>3 .,</5/+4/3 ,+8:43 /34,2-.>3 8-5- 85>.:*,5

:+,.-./3 ./ 85>.:*4>3 /+ 0>4/3 ./ 85>.:**,6+ /38/*Q<,*>39 2:04,80,*-.>3 8>5 0>3 85/*,>3 /34?+.-5/3 ./ 0>3

,+8:43F

 f-5,-*,>+/3

GFE K>34>3   ]d/-0 Bo3 734?+.-5[

!FE \3> ]/<,*,/+*,-[   M5/*,> 734?+.-5 ]K-+4,.-. d/-0 E K-+4,.-. 734?+.-5[

#FE M5/*,>3 ]4-3-3[   K-+4,.-. d/-0 ]M5/*,> d/-0 E M5/*,> 734?+.-5[

Page 120: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 120/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G!P

3K;3  % 6=6%5&=W:5"%6: $& ># .86# 7 9:"%4 $& %4:54: &:59#$6=  

GFE R- B-5,-*,6+ ./ 85/*,>3 ./ 0>3 2-4/5,-0/3 3/ ,./+4,<,*-+ ; 3/=5/=-+ *:-+.> 3/ *>285-+ 0>3 2-4/5,-0/3F

R>3 85/*,>3 5/-0/3 +> 3/ *>+3,./5-+ /+ 0-3 *:/+4-3 ./ ,+B/+4-5,>3F

 f-5,-*,6+ M5/*,> ./ 2-4/5,-0/3 g K-+4,.-. d/-0 *>285-.- ]M5/*,> d/-0 E M5/*,> 734?+.-5[

!FE K-.- ./8-54-2/+4> 3/ *-5=- *>+ 0-3 *-+4,.-./3 ./ 45-C-D> .,5/*4> ; 2-4/5,-0 .,5/*4> A:/ :4,0,O-9

2:04,80,*-.> 5/38/*4,B-2/+4/9 8>5 0- 4-3- ./ 5/2:+/5-*,6+ /34?+.-5 ; /0 85/*,> /34?+.-5 ./ 0>3 2-4/5,-0/3F

 f-5,-*,6+ (-3- _-+> ./ eC5- g K-+4,.-. d/-0 ](-3- d/-0 E (-3- 734?+.-5[

#FE K-.- ./8-54-2/+4> 3/ -*5/.,4- *>+ /0 *>34> /34?+.-5 ./0 85>.:*4> A:/ *>280/4- .:5-+4/ *-.- 2/3F

$FE R-3 B-5,-*,>+/3 ./ *-+4,.-. /+ /0 45-C-D> .,5/*4> ; /+ 0>3 2-4/5,-0/3 3/ ,./+4,<,*-+ ; 2,./+ -0 <,+-0 ./0

8/5Q>.>F 1 0- </*@- /+ A:/ /0 45-C-D> /34) /+ 85>*/3> /+ *-.- ./8-54-2/+4>9 )34/ 3/ 2,./ - 0>3 *>34>3

/34?+.-5 ; 3/ *>28-5- *>+ 0>3 3-0.>3 ./ 0-3 *:/+4-3 ./ 85>.:*4>3 /+ 85>*/3>39 8-5- ./4/52,+-5 0-3

 B-5,-*,>+/3 ./ *-+4,.-.F

 f-5,-*,6+ K-+4,.-. ./ _-4/5,-0/3 g M5/*,> 734?+.-5 ]K-+4,.-. d/-0 E K-+4,.-. ]>:48:4[ 734?+.-5[

7<,*,/+*,- _-+> ./ eC5- g (-3- 734?+.-5 ]K-+4,.-. d/-0 E K-+4,.-. ]e:48:4[ 734?+.-5[

%FE R-3 B-5,-*,>+/3 /+ *-+4,.-. 3/ *-0*:0-+ 8>5 /0 4>4-0 ./0 ./8-54-2/+4> -0 2/39 +> 8>5 65./+/3

,+.,B,.:-0/39 > 45-C-D>3 ,+.,B,.:-0/3F

&FE (>.> /0 45-C-D> ./ 0- *:/+4- ./ Z+B/+4-5,> /+ M5>*/3> 3/ <>52:0- -0 *>34> /34?+.-59 -0 <,+-0 ./ *-.-2/3F

Page 121: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 121/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G!G

3Q  = &86%"@# %4:54MC 48><&#M>5"8"$6$ 

R- d/0-*,6+ K>34>Ef>0:2/+E\4,0,.-.9 /3 :+> ./ 0>3 ,+345:2/+4>3 1+-0Q4,*>3 ./ 0- 80-+/-*,6+9 A:/

-;:.- - 0>3 -.2,+,345-.>5/3 - '7B-0:-5 /0 /</*4> 85>.:*,.> /+ 0-3 :4,0,.-./3 8>5 0-3 .,</5/+4/3 *>2C,+-*,>+/3

./ *>34> ; 85/*,>'F

R>3 D/</3 ./ 85>.:**,6+9 D/</3 4/55,4>5,-0/3 ./ B/+4-3 ; B/+./.>5/3 ,+.,B,.:-0/39 8:/./+ @-*/5 :3>

4-2C,)+ ./0 -+?0,3,3 ./ K>34>Ef>0:2/+E\4,0,.-.F 734/ -+?0,3,3 8:/./ *>+4/34-5 85/=:+4-3 *>2> /34-3a

GFE •K:?+4-3 :+,.-./3 @-C5? A:/ B/+./5 8-5- >C4/+/5 ./4/52,+-.-3 :4,0,.-./3€ •K:?+4> @-; A:/ B/+./5

8-5- +> ,+*:55,5 /+ 8)5.,.-3€

!FE •7+ *:?+4> *>+45,C:,5? :+ 3/=2/+4> =/+/5-.>5 ./ ,+=5/3>3 - 0-3 :4,0,.-./3 =/+/5-0/3€

#FE •w:) >*:55,5? - 0-3 :4,0,.-./3 3, 3/ -:2/+4-+ 0>3 85/*,>3€ •k 3, 3/ .,32,+:;/+€$FE •w:) ,28-*4> 4/+.5?+ /+ 0-3 :4,0,.-./3 0>3 *-2C,>3 >*:55,.>3 /+ 0- /345:*4:5- ./ 0>3 *>34>3 ./ 0-

7285/3-€

7+ =/+/5-09 /0 -+?0,3,3 K>34>Ef>0:2/+E\4,0,.-. 4,/+/ 2:*@-3 B/+4-D-3F M:/./ 3/5 :4,0,O-.> 4-+4> /+ /0

?5/- ./ ^,+-+O-39 K>+45>09 M5/3:8:/34>9 M5>.:**,6+9 *>2> /38/*,-02/+4/ /+ K>2/5*,-0,O-*,6+ ; f/+4-3 8-5-

4>.> 4,8> ./ 7285/3-F

&- (O h/(1 %E-*1XO( M L+-1-G+(/E2 

M/52,4/ ,+4/55/0-*,>+-5 0>3 K>34>39 /0 M5/*,> ; /0 f>0:2/+F

&- (O h/(1 H( %EJ(/G+1O+i1G+,-2 

M/52,4/ ./4/52,+-5 85/*,>3 /+ <>52- 5/-0,34-9 ./4/52,+-*,6+ ./ *-+-0/3 ./ .,345,C:*,6+9 <,D-*,6+ ./ 2?5=/+/3

./ 0>3 2-;>5,34-3 ; ./4-00,34-39 /4*F

&- (O G1JTE H( O1 ./EH'GG+,- "-H')*/+1O2 

M/52,4/ /B-0:-5 0-3 ./*,3,>+/3 A:/ ./C-+ 5/-0,O-5 0>3 /D/*:4,B>3 /+ 5/0-*,6+ *>+ 0- 7U8-+3,6+ ./ 0- 80-+4- :

>45> 4,8> ./ Z+B/53,>+/3F

Page 122: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 122/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G!!

3Q;3  8"<"56%"4#&: 

 1 8/3-5 ./ A:/9 0>3 .-4>3 ./ 0- 5/0-*,6+ K>34>Ef>0:2/+E\4,0,.-. 85>8>5*,>+-+ - 0- -.2,+,345-*,6+ ./

:+- 7285/3- :+ 2/.,> b4,0 8-5- 0>3 <,+/3 ./ 80-+/-2,/+4> ; *>+45>09 /34>3 .-4>3 +> ./C/+ *>+3,./5-53/ *>2>

,+345:2/+4> ./ 85/*,3,6+9 ;- A:/ 3/ C-3-+ /+ *,/54>3 3:8:/34>39 *>2> 8>5 /D/280>a

E 0-3 +>52-3 ./ *>28>54-2,/+4> ./0 *>34>9 3>+ 0,+/-0/3F

N> 4>2- /+ *>+3,./5-*,6+ /0 *>34> A:/ 3,=+,<,*- /0 2-+4/+,2,/+4> ./ Z+B/+4-5,>39 3/ 3:8>+/ A:/

/U,34/ :+- 8/5</*4- 3,+*5>+,O-*,6+ /+45/ f/+4-3 ; M5>.:**,6+F W,+ /2C-5=>9 /0 /D/*:4,B> 8:/./

/34,2-50> ; *>+3,./5-50> *>2> :+ *>34> <,D>F

E R>3 85/*,>3 ./ B/+4-9 ./ 0>3 85>.:*4>3 +> B-5Q-+ /+ 0>3 .,34,+4>3 +,B/0/3 ./ 1K(ZfZ`1`F

E R>3 M5/*,>3 ./ 2-4/5,-0/3 ; 2-+> ./ >C5- 8/52-+/*/+ *>+34-+4/39 +> 3/ 4>2- /+ *:/+4- 0- 5/-**,6+

*>28/4,4,B-F

E R- *>28>3,*,6+ ./ 0-3 B/+4-3 /3 *>+34-+4/F

E 7<,*,/+*,- ; 85>.:*4,B,.-. 8/52-+/*/+ ,+B-5,-C0/3F W,+ /2C-5=>9 4>.-3 /34-3 0,2,4-*,>+/3 3>+

2Q+,2-3 -+4/ 0-3 B/+4-D-3 ./0 1+?0,3,3 ./ 0- d/0-*,6+ K>34>Ef>0:2/+E\4,0,.-.F

70 -+?0,3,3 ./ 0- d/0-*,6+ K>34>Ef>0:2/+E\4,0,.-. ./8/+./ ./ :+- *:,.-.>3- *0-3,<,*-*,6+ ./ 0>3 K>34>3 ./

-*:/5.> - 3: B-5,-C,0,.-.F

3Q;A  $&5&=<"#6%"@# $& 86 C6="67"8"$6$ $& 84: %4:54: 

R>3 *>34>3 ./ -*:/5.> - 3: *>28>54-2,/+4> 3/ .,B,./+ /+ ^,D>39 f-5,-C0/3 ; W/2, E f-5,-C0/3F

3Q;A;3  %4:54: L"B4: 

7U,34/+ K>34>3 A:/ +> B-5Q-+ ./+45> ./ :+ +,B/0 +>52-0 ./ >8/5-*,>+/3 ; .-.> :+ *,/54> 8/5Q>.> ./

4,/28>F W>+ ^,D>3 /+ 4)52,+>3 -*:2:0-.>3 ; B-5,-C0/3 8>5 :+,.-.F

R>3 K>34>3 ^,D>3 3/ =/+/5-+ /+ ]< U[ ./0 4,/28> ; ./ >45>3 <-*4>5/3 4-0/3 *>2>a

E 70 @/*@> ./ 8>3//5 80-+4- ; /A:,8>3F

E R- *-8-*,.-. ./ >5=-+,O-59 0- A:/ /34? ./4/52,+-.- 8>5 0- -.2,+,345-*,6+F

7+ =/+/5-0 /34>3 *>34>39 3/ B/+ -</*4-.>3 8>5 0-3 ./*,3,>+/3 ./ 80-+/-*,6+ ./ K>+45>0 -.2,+,345-4,B> - 0-5=>

80-O> ; 8>5 0-3 ./*,3,>+/3 ./ 80-+/-*,6+ /345-4)=,*-F

Page 123: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 123/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G!#

R-3 ./*,3,>+/3 ./ 80-+/-*,6+ /345-4)=,*-9 A:/ ./4/52,+-+ 0- *-8-*,.-. ./ 85>.:**,6+9 3/ 4>2-+ - ,+4/5B-0>3

5/0-4,B-2/+4/ 8>*> <5/*:/+4/39 2,/+45-3 A:/ 0-3 ./*,3,>+/3 ./ *>+45>0 -.2,+,345-4,B> >*:55/+ *>+ <5/*:/+*,-F

R- .,</5/+*,- /+ /0 +,B/0 ; <5/*:/+*,- ./ 0-3 ./*,3,>+/3 *0-3,<,*- 0>3 *>34>3 <,D>3 /+a

3Q;A;3;3  %4:54: L"B4: %4<.=4<&5"$4: d/3:04-+ ./ ./*,3,>+/3 8-5- -.A:,5,5 *-8-*,.-. 85>.:*4,B- ]80-+4-9 /A:,8> ; >5=-+,O-*,6+ C?3,*-[F R>3

-55/+.-2,/+4>3 - 0-5=> 80-O> ; 0>3 *>34>3 ./ ./85/*,-*,6+ 4,/+./+ - 8/52-+/*/5 *>+34-+4/3 8>5 0-5=>

8/5Q>.>3 ./ 4,/28> ; *-2C,-+ *:-+.> 3/ 4>2- ./*,3,6+ ./ 2>.,<,*-5 /+ 0- *-8-*,.-.F

3Q;A;3;A  %4:54: L"B4: .=4?=6<6$4: 

d/3:04- ./ ./*,3,>+/3 /+ 0>3 +,B/0/3 W4-<<9 +,B/0/3 ./ =-34>3 ./ 8:C0,*,.-.9 +,B/0/3 ./ =-34>3 ./

,+B/34,=-*,6+9 /4*F R-3 ./*,3,>+/3 A:/ -</*4-+ /34>3 *>34>3 3/ 4>2-+ =/+/5-02/+4/ *-.- -V>F

W/ ./385/+./ A:/ /34>3 *>34>3 3>+ *>+45>0-C0/39 /+ /0 3/+4,.> ./ A:/ 8:/./+ ./3*>+4,+:-53/<?*,02/+4/9 3,+ A:/ :+ 80-O> ,+2/.,-4> 4/+=- :+ /</*4> =5-B/ 3>C5/ 0- 2-5*@- ./ 0- 7285/3-F

3Q;A;A  %4:54: L"B4: $& 4.&=6%"@# 

W>+ *>34>3 A:/ 3,5B/+ 8-5- >8/5-5 0- *-8-*,.-. 85>.:*4,B-F 7D/280>a W:8/5B,3,6+9 3/=:5>39

2-+4/+*,6+9 /4*F

R>3 K>34>3 ^,D>3 K>285>2/4,.>3 3/ >5,=,+-+ ./ ./*,3,>+/3 ./ K-8-*,.-. ./ 0- M0-+4-9 2,/+45-3 A:/

0>3 K>34>3 ^,D>3 ./ e8/5-*,6+ 3/ >5,=,+-+ ./ ./*,3,>+/3 3>C5/ /0 :3> ./ .,*@- *-8-*,.-.F

70 85,+*,8-0 2>4,B> A:/ D:34,<,*- 0- /U,34/+*,- ./ 0>3 K>34> ^,D>39 /3 0- -*/+4:-.- 5,=,./O /*>+62,*- /+

0>3 C,/+/3 ./ M5>.:**,6+9 /3 ,28>3,C0/ *-2C,-5 /0 4-2-V> ./ 0- 7285/3- ./ -*:/5.> - 3:3 +,B/0/3 ./

 1K(ZfZ 1`F

3Q;A;D  %4:54: C  6="678&: 

W>+ 0>3 A:/ <0:*4b-+ > B-5Q-+ /+ 85>8>5*,6+ *>+ 0>3 *-2C,>3 /+ /0 +,B/0 ./ 1*4,B,.-. ./ :+-

7285/3-F

R>3 *>34>3 B-5,-C0/3 ,+*0:;/+a _-4/5,-3 M5,2-3 `,5/*4-39 _-+> ./ eC5- `,5/*4-9 3,/285/ ; *:-+.> 3/

5/2:+/5/ 0- _-+> ./ eC5-9 C-D> /0 3,34/2- 8>5 8,/O-3 > 45-4>39 =-34>3 ./ M5>.:**,6+ B-5,-C0/3 ; *>2,3,>+/3

./ B/+4-9 /4*F

M/5> +> @-; A:/ >0B,.-5 A:/ +,+=b+ *>34> /3 ,+@/5/+4/ <,D> > B-5,-C0/F 70 C5/B/ 4,/28> -</*4-.> 8>5

:+- ./*,3,6+ ,+<0:;/ 4-2C,)+ 3>C5/ 0- B-5,-C,0,.-. ./ :+ *>34>F 'R>3 *>34>3 A:/ 3>+ <,D>3 8-5- 0-3 ./*,3,>+/3

2/+3:-0/3 ./ 80-+/-*,6+9 8:/./+ 3/5 *>34>3 B-5,-C0/3 8-5- ./*,3,>+/3 ./ :+ 8/5Q>.> ./ 80-+/-*,6+ ./ .>3

Page 124: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 124/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G!$

-V>3'F

7+ =/+/5-0 0-3 ./*,3,>+/3 ./ 80-+/-*,6+ /345-4)=,*- 8:/./+ /34-C0/*/5 /0 +,B/0 =/+/5-0 ./ 0>3 *>34>3

 B-5,-C0/39 8>5 /D/280>a R- /38/*,<,*-*,6+ ./ :+- 80-+4-F

7+ *-2C,> 0-3 ./*,3,>+/3 ./ 80-+/-*,6+ ; *>+45>0 - K>54> M0-O>F ]`/*,3,>+/3 ./ *>+45>0-.2,+,345-4,B>[ -</*4-+ .,5/*4-2/+4/ /0 +,B/0 -*4:-0 ./ 0>3 K>34>3 f-5,-C0/3F

3Q;A;K  %4:54: :&<"MC  6="678&: 

 1 .,</5/+*,- ./ 0>3 K>34>3 f-5,-C0/39 0>3 *>34>3 W/2, E f-5,-C0/3 ]00-2-.>3 - B/*/3 *>34>3 3/2, E

<,D>3[9 +> <0:*4b-+ /+ 85>8>5*,6+ - 0>3 *-2C,>3 ./ 1K(ZfZ`1`F

734>3 *>34>3 *>+3,34/+ /+ :+- 2/O*0-a :+- *-+4,.-. C-3/ A:/ 8/52-+/*/ *>+34-+4/9 /+ 5/0-*,6+ - 0>3 *-2C,>3

/+ 0- -*4,B,.-. ; >45- 8-54/ A:/ B-5Q- .,5/*4-2/+4/ *>+ *-2C,>3 /+ 0>3 +,B/0/3 ./ -*4,B,.-.F

7D/280>a

 1[ K>28/+3-*,6+ - :+ B/+./.>5 A:/ 5/*,C/ :+ 3:/0.> 2/+3:-0 2?3 :+- *>2,3,6+ 3>C5/ 3:3 B/+4-3F

S[ d/8-5-*,6+ ; 2-+4/+,2,/+4>9 /0 /0/2/+4> <,D> /34? 5/85/3/+4-.> 8>5 /0 *>34> 2Q+,2> ./ 2-+4/+/5 /0

3/5B,*,>9 /+ 4-+4> A:/ /0 /0/2/+4> B-5,-C0/ /34? 5/85/3/+4-.> 8>5 0- 5/8-5-*,6+ A:/ /3 ./4/52,+-.- 8>5

/0 +,B/0 ./ -*4,B,.-.F

$

I. Total

C. Total

CF

Pto. Eq.

Nivel de Actividad

Page 125: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 125/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G!%

`/+45> ./ /34- *0-3,<,*-*,6+ 3/ /+*:/+45-+ 0>3 K>34>3 73*-0>+-.>3F W>+ *>34>3 A:/ *-2C,-+ /+

*-+4,.-./3 -=5:8-.-3 - *,/54>3 +,B/0/3 ./ -*4,B,.-.F M>5 /D/280>a \+ 3:8/5B,3>5 8:/./ 3/5 *-8-O ./

3:8/5B,3-5 ./ :+> - .,/O @>2C5/39 8/5> 0- -.,*,6+ ./ >45> @>2C5/ 5/A:/5,5Q- 0- -3,=+-*,6+ ./ >45> 3:8/5B,3>5F

'7+ =/+/5-09 /34>3 *>34>3 <,D>3 8/52-+/*/+ <,D>3 /+ *,/54>3 +,B/0/3 ./ -*4,B,.-.9 8-3-.> .,*@> +,B/0 3/

,+*5/2/+4-+ C5:3*-2/+4/ 8-5- 8/52-+/*/5 <,D>3 - /3/ 2,32> +,B/0'F 

 10 *>2C,+-5 0>3 .,</5/+4/3 4,8>3 ./ *>34>3 /+ :+ 360> =5?<,*>9 / ,+*>58>5-+.> -./2?3 0- <:+*,6+

,+=5/3> 4>4-09 A:/ 3/ ./<,+/ *>2> /0 4>4-0 >C4/+,.> ./0 3:2,+,345> ./ 85>.:*4>3 > 3/5B,*,>3 ./B/+=-.>39 8>5

0- B/+4- ./ 85>.:*4> > 3/5B,*,>39 3/ >C4,/+/ '70 =5?<,*> ./0 8:+4> ./ 7A:,0,C5,>'a

70 +,B/0 ./ -*4,B,.-. 8:/./ 3/5 /U85/3-.> /+ ':+,.-./3' > /+ B-0>5/3 2>+/4-5,>39 0- <>52- 2?3 :3:-0

/3 0- 3/=:+.-F

R- 5-O6+ ./ /00> /3 A:/ 0- 2-;>5Q- ./ 0-3 /285/3-3 B/+./+ B-5,>3 85>.:*4>3 ; 0- b+,*- <>52- ./

3:2-50>3 /3 :3-+.> :+ ./+>2,+-.>5 *>2b+F

R- <:+*,6+ ./ B/+4-3 /+ :+- 0Q+/- 5/*4-9 A:/ 3/5? ,=:-0 -0 +b2/5> ./ :+,.-./3 B/+.,.- ; 8>5 /0 85/*,>

./ B/+4-39 > 3/-a

734- 0Q+/-9 8-54/ ./0 8:+4> ./ >5,=/+ *>+ :+- ,+*0,+-*,6+ ./ $% =5-.>3 ; /0 8:+4> /+ A:/ *5:O- 0- 0Q+/-

./ *>34> 4>4-0 5/85/3/+4- /0 8:+4> ./ /A:,0,C5,>F

E S-D> /0 8:+4> ./ /A:,0,C5,>9 0- /285/3- >8/5- *>+ 8)5.,.-3F

E W>C5/ /0 8:+4> ./ /A:,0,C5,>9 0- /285/3- >C4,/+/ :4,0,.-./3F

70 8:+4> ./ /A:,0,C5,> /3 -A:/0 +,B/0 ./ -*4,B,.-. /+ /0 *:-0 0>3 ,+=5/3>3 4>4-0/3 3>+ ,=:-0/3 - 0>3

K>34>3 (>4-0/3F 73 -A:/0 +,B/0 ./ -*4,B,.-. .>+./ +> @-; +, :4,0,.-. +, 8)5.,.- 8-5- 0- /285/3-F 73 /0

 B>0:2/+ 2Q+,2> - 8-54,5 ./0 *:-0 3/ 0>=5-+ :4,0,.-./3F

Y = P   X 

Page 126: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 126/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G!&

&)*( T'-*E )( EX*+(-( H( O1 )+S'+(-*( IE/J12

M/5>9 *>2> /+ 0- p>+- ./ /A:,0,C5,>9 +> /U,34/+ :4,0,.-./39 0- /*:-*,6+ /3 0- 3,=:,/+4/a

M U A g K>34>3 ^,D>3 h K>34>3 f-5,-C0/3 \+,4-5,>3 U A

M U A E * B A g K>34>3 ^,D>3

w ]8 E *B[ g K>34>3 ^,D>3

"q‖ g +b2/5> ./ :+,.-./3 ./ :+ ./4/52,+-.> 85>.:*4> A:/ ./C/+ B/+./53/ 8-5- 0>=5-5 /0 8:+4>

./ /A:,0,C5,>'

`>+./a

%E)*E) L+PE)2  73 /0 4>4-0 ./ K>34>3 ^,D>3 8-5- :+ 8/5Q>.>F

M5/*,> \+,4-5,> ./ f/+4- 2/+>3 K>34> f-5,-C0/ \+,4-5,> g _-5=/+ ./ K>+45,C:*,6+ \+,4-5,>F

<1/S(- H( %E-*/+X'G+,- >-+*1/+E2  73 /0 -8>54/ ./ *-.- :+,.-. B/+.,.- - 0>3 K>34>3 ^,D>3 ; - 0-3

\4,0,.-./3X /3 ./*,59 /3 /0 /U*/3> ./0 85/*,> ./ B/+4- 3>C5/ /0 *>34> B-5,-C0/9 A:/ 3,5B/ 8-5- *:C5,5 0>3 K>34>3

^,D>3 ; 0-3 :4,0,.-./3 ./3/-.-3 ./ :+- /285/3-F

Ventas Totales = Costos Fijos + Costos Variables Totales + Utilidades 

Ventas Totales = Costos Fijos + Costo Variable Unitario por Cantidad 

q = Costo Fijo

p - c v

Page 127: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 127/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G!I

<1/S(- H( %E-*/+X'G+,- 5E*1O F ?OEX1O2  73 /0 /U*/3> ./ 0-3 B/+4-3 4>4-0/3 3>C5/ 0>3 K>34>3 f-5,-C0/3

4>4-0/39 A:/ A:/.-+ .,38>+,C0/3 8-5- *:C5,5 0>3 K>34>3 ^,D>3 ; 0-3 :4,0,.-./3 ./3/-.-3 ./ :+- 7285/3-F

e45- <>52- ./ *-0*:0-5 /0 M:+4> ./ 7A:,0,C5,> /3 /+ C-3/ -0 2-5=/+ ./ *>+45,C:*,6+ 8>5*/+4:-0F

W,280,<,*-+.> 3/ >C4,/+/a

734/ _-5=/+ ./ K>+45,C:*,6+ M>5*/+4:-0 > d/0-4,B>9 ,+.,*-a 0> A:/ ./D6 :+ 8/3> ./ B/+4-9 ./.:*,.>

0>3 K>34>3 f-5,-C0/ 8-5- *:C5,5 0>3 K>34>3 ^,D>3 ; 0-3 :4,0,.-./3 ./3/-.-3F

M>5 0> 4-+4>9 8-5- ./4/52,+-5 /0 M:+4> ./ 7A:,0,C5,> /+ :+,.-./3 2>+/4-5,-39 3/ .,B,./ /0 *>34> <,D>

8>5 /0 2-5=/+ ./ *>+45,C:*,6+ 8>5*/+4:-0F

70 M:+4> ./ 7A:,0,C5,> /+ :+,.-./3 2>+/4-5,-39 /3 /0 A:/ 3/ :4,0,O- *>+ 2-;>5 <5/*:/+*,-9 8:/3 0-3

/285/3-3 =/+/5-02/+4/ B/+./+ :+- =5-+ B-5,/.-. ./ -54Q*:0>39 A:/ 8-5- 3:2-50>3 ./C/+ /U85/3-53/ /+ :+

<-*4>5 *>2b+ A:/ /3 0- 2>+/.-F

Margen de Contribución Porcentual Total = Ventas - Costos Variables Totales  Ventas

_-5 /+ ./ K>+45,C:*,6+ M>5*/+4:-0 K>34>3 f-5,-C0/3 (>4-0/3

 f/+4-3 (>4-0/3Eg 3

EM\N(e 7 7w\ZRZSdZeK>34>3 ^,D>3

K>34>3 f-5,-C0/3 (>4-0/3 f/+4-3 (>4-0/3

3v

Page 128: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 128/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G!c

3Q;D  >:4: $&8 < 6=?&# $& %4#5="7>%"@#

70 _-5=/+ ./ K>+45,C:*,6+ 8:/./ 3:2,+,345-5 - 0- -.2,+,345-*,6+ ,+<>52-*,6+ C-34-+4/ b4,0F M>5

/D/280> 3, :+- 7285/3- /34? >8/5-+.> *>+ 8)5.,.-9 0- 5-O6+ ./0 2-5=/+ ./ *>+45,C:*,6+ ,+.,*- *:-+4>

-:2/+4-5? 0- 8)5.,.- +/4- 8>5 *-.- 8/3> ./ *-2C,> /+ 0-3 B/+4-3F \+- /0/B-.- 5-O6+ ./0 2-5=/+ ./

K>+45,C:*,6+ >5,=,+-5? 2-;>5/3 :4,0,.-./3 A:/ :+- 5-O6+ C-D-9 - 2/.,.- A:/ /0 B>0:2/+ ]n[ -3*,/+./ 8>5

/+*,2- ./0 8:+4> ./ /A:,0,C5,> *:-+.> /0 B>0:2/+ ./ B/+4-3 *-/ 8>5 ./C-D> ./0 8:+4> ./ /A:,0,C5,>9 *:-+.>

2?3 /0/B-.- 3/- 0- 5-O6+ ./0 2-5=/+ ./ K>+45,C:*,6+9 2-;>5 3/5? 0- 8)5.,.- - 2/.,.- A:/ ./*5/O*- /0 B-0>5

./0 B>0:2/+ ./ B/+4-3F

'70 M:+4> ./ /A:,0,C5,> 3/ 2>.,<,*- *:-+.> B-5Q- :+> ./ 3:3 *>28>+/+4/3'F M>5 /D/280>a •A:)

3:*/./ 3, 3/ -:2/+4-+ 0>3 K>34>3 ^,D>3€ W, -:2/+4-+ 0>3 K>34>3 ^,D>3 ; 0>3 ./2?3 Q4/23 8/52-+/*/+

*>+34-+4/39 /0 M:+4> ./ 7A:,0,C5,> 3/ ,+*5/2/+4-F

•w:) 3:*/./ 3, 3/ .,32,+:;/ 0>3 K>34>3 f-5,-C0/3€ W, .,32,+:;/+ 0>3 K>34>3 f-5,-C0/3 ; 0>3 ./2?3

 Q4/23 8/52-+/*/+ *>+34-+4/3 /0 M:+4> ./ 7A:,0,C5,> 3/ 5/.:*/F

3Q;K   C  6="6%"4#&: $& 86:>5"8"$6$&: 

7U,34/+ B-5,-3 <>52-3 /+ A:/ 0-3 :4,0,.-./3 ./ :+- /285/3- 8:/.-+ -:2/+4-5F

M>5 /D/280>a

G[ d/.:**,6+ K>34>3 ^,D>3 (>4-0/3F

![ Z+*5/2/+4> ./0 M5/*,> ./ f/+4- \+,4-5,>F

#[ d/.:**,6+ ./ 0>3 K>34>3 f-5,-C0/3 \+,4-5,>3F

$[ Z+*5/2/+4> ./0 B>0:2/+ ./ :+,.-./3 B/+.,.-3F

e45- 2/.,*,6+ A:/ 8:/./ 5/0-*,>+-53/ /+ /0 =5?<,*> ./0 M:+4> ./ 7A:,0,C5,>9 3/ ./+>2,+- 2-5=/+ ./

3/=:5,.-.X A:/ ,+.,*- /0 8>5*/+4-D/ /+ A:/ 0-3 B/+4-3 80-+/-.-3 3>C5/8-3-+ /0 8:+4> ./ /A:,0,C5,>F

7D/280>a M:+4> ./ 7A:,0,C5,> n %PFPPP

 f/+4-3 M0-+/-.-3 nGPPFPPP

M>5 0> 4-+4> _-5=/+ ./ W/=:5,.-. n%PFPPP ]*-+4,.-. /+ A:/ 0-3 B/+4-3 80-+/-.-39 /U*/./+ -0 8:+4> ./

/A:,0,C5,>F

Page 129: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 129/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G!H

 f/+4-3 nGPPFPPP

K>34>3 f-5,-C0/3 &PFPPP

_-5=/+ ./ K>+45,C:*,6+ S5:4>   $PFPPPK>34>3 ^,D>3   !PFPPP

_-5=/+ ./ K>+45,C:*,6+ N/4>   !PFPPP

<6=?&# $& :&?>="$6$   %PFPPP

M>5*/+4-D/ _-5=/+ ./ W/=:5,.-.   %PFPPP   g %Pr

GPPFPPP

$654: 

734/ 2-5=/+ ,+.,*- -85>U,2-.-2/+4/ @-34- .>+./ 8:/./+ ./*0,+-5 0-3 B/+4-3 80-+/-.-3 -+4/3 ./

,+*:55,5 :+- 8)5.,.-F \+ 5/.:*,.> 2-5=/+ ./ 3/=:5,.-. ,+.,*- =/+/5-02/+4/ A:/ 0- -.2,+,345-*,6+ ./C/ 45-4-5./ ,+*5/2/+4-5 /0 B>0:2/+ ./ B/+4-39 -:2/+4-5 0>3 85/*,>3 ./ B/+4-3 > 5/.:*,5 0>3 *>34>3F

 10=:+>3 1.2,+,345-.>5/3 *5,4,*-+ 0>3 =5?<,*>3 ./0 8:+4> ./ /A:,0,C5,> 8>5A:/ ./34-*-+

<:+.-2/+4-02/+4/ /0 /A:,0,C5,>F 734-3 8/53>+-3 ./3/-+ A:/ /0 -+?0,3,3 @-=- @,+*-8,) /+ 0-3 :4,0,.-./39 /+

*>+3/*:/+*,-9 3/ @- *5/-.> 0- =5?<,*- ./ :4,0,.-./3F

3Q;Q   6 .8"%6%"4#&: $&8 6 #98":": %4:54MC 48><&#M>5"8"$6$ 

70 -+?0,3,3 K>34>Ef>0:2/+E\4,0,.-. 8:/./ -80,*-53/ - 0- 80-+/-*,6+ - K>54> M0-O>9 A:/ -</*4- - 0>3

3,=:,/+4/3 =/+/5-.>5/3 ./ ,+=5/3>9 -3Q *>2> 0- 80-+/-*,6+ A:/ -</*4- - 4>.- 0- /285/3-F

3Q;Q;3  $&%":"@# = &:.&%54 68 %"&==& $& >#6 .86#56  

R- ./*,3,6+ ./ */55-5 :+- 80-+4-9 /3 *:-+.> 3/ /34? B/+.,/+.> :+ B>0:2/+ ./ B/+4-3 A:/ /3 ,+</5,>5 -0

 B>0:2/+ ./ B/+4-3 3/V-0-.> /+ /0 8:+4> ./ /A:,0,C5,>9 0> A:/ ,280,*- >C4/+*,6+ ./ 8)5.,.-39 /34> 3/ ./C/ -

A:/ +> /34?+ *:C5,/+.> 4>4-02/+4/ 0>3 K>34>3 ^,D>3F

M/5> -+4/3 ./ ./*,.,59 /0 *,/55/ ./ :+- 80-+4-9 *:-+.> )34- >C4,/+/ 8)5.,.-3 /3 +/*/3-5,> 4/+/5 :+-

*0-3,<,*-*,6+ ./ 0>3 K>34>3 ^,D>39 8:/3 @-; K>34>3 ^,D>3 A:/ 8:/./+ /0,2,+-53/ -0 */55-5 :+- 80-+4-9 *>2> 8>5

/D/280>a 3:8/5B,3,6+9 -55,/+.>39 4/0)<>+>39 /4*F9 M/5> /U,34/+ >45>3 K>34>3 ^,D>39 A:/ +> 3/ 8:/./+ 5/*:8/5-5

/+ *-3> ./ -55/8/+4,2,/+4>9 /3 ./*,59 *:-0A:,/5 3/5B,*,> 8-=-.> *>+ -+4/5,>5,.-.F

`/ -@Q9 A:/ /3 +/*/3-5,>9 @-*/5 :+- *0-3,<,*-*,6+ ./ 0>3 K>34>3 ^,D>3F

R>3 K>34>3 ^,D>3 8:/./+ *-/5 ./+45> ./ 0- *0-3,<,*-*,6+ ./ B,B>3 > /U4,+=:,.>3 ]/B,4-C0/3 > ,+/B,4-C0/35/38/*4,B-2/+4/[F

Page 130: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 130/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G#P

3Q;Q;3;3  84: %4:54: C "C4: L"B4: 

W>+ -A:/00>3 -:+A:/ +> B-5Q-+ *>+ 0>3 *-2C,>3 /+ 85>.:**,6+9 5/85/3/+4-+ =-34>3 /+ /</*4,B> 8>5

,+*:55,53/ 8>5 /D/280>a 3:8/5B,3,6+ ./ 80-+4-9 2-+4/+*,6+9 /4*F

3Q;Q;3;A  84: %4:54: L"B4: &d5"#?>"$4: 

d/85/3/+4-+ =-34>3 > /5>=-*,>+/3 /</*4:-.-3 *>+ -+4,*,8-*,6+ ; ./ 0-3 *:-0/3 -b+ A:/.-+ C/+/<,*,>3

8>5 ./5,B-59 8>5 /D/280>a ./85/*,-*,6+9 =-34>3 ./ >5=-+,O-*,6+9 /4*F M>5 0> 4-+4>9 -0 */55-5 :+- 80-+4-9 3/

2-+4/+.5Q-+ 0>3 K>34>3 ^,D>3 ,+*:55,.>3 > /U4,+=:,.>3F

R:/=> 0>3 /D/*:4,B>3 ./C/+ *>+3,./5-5 *>2> 5/0/B-+4/ 8-5- /0 -+?0,3,3 ./ *,/55/ > +> *,/55/ ./ :+-

80-+4-a

r8E) %E)*E) L+PE) TE/ +-G'//+/ E 0+0Er ; 3/ ./C/5? C:3*-5 /0 8:+4> ./ +,B/0-*,6+ A:/ 2:/345/ /0

 B>0:2/+ ./ B/+4-3 2Q+,2> A:/ 8/52,4- 5/*:8/5-5 -0 2/+>3 0>3 K>34>3 ^,D>3 /B,4-C0/3 > B,B>3F

734/ +:/B> 8:+4> ./ +,B/0-*,6+9 /3 b4,0 3>0-2/+4/ /+ K>54> M0-O>9 8:/3 :+- /285/3- +> 8:/./ >8/5-5

*>+4,+:-2/+4/ 3,+ >C4/+/5 :4,0,.-./39 8:/3 )34- +/*/3,4- 5/8>+/5 3: /A:,8>9 .,345,C:,5 .,B,./+.>3 ; 4>2-5 0-3

2/.,.-3 +/*/3-5,-3 8-5- 3: *5/*,2,/+4>F

7D/280>a

W/ 4,/+/+ 0>3 3,=:,/+4/3 .-4>3a

 f>0:2/+ ./ K>34>3

 f/+4-3 f-5,-C0/3 f,B>3 7U4,+=:,.>3 Wo0,C5>37+ 7</*4,B>

$PFPPP !$FPPP cFPPP G!FPPP F]$9PPP[ cFPPP

$cFPPP !cFcPP cFPPP G!FPPP F]cPP[ GGF!PP

%&FPPP ##F&PP cFPPP G!FPPP !F$PP G$F$PP

&$FPPP #cF$PP cFPPP G!FPPP %F&PP GIF&PP

I!FPPP $#F!PP cFPPP G!FPPP cFcPP !PFcPP

cPFPPP $cFPPP cFPPP G!FPPP G!FPPP !$FPPP

K>34>3 ,D>3 \4,0,.-.

 

Page 131: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 131/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G#G

K:-0A:,/5- B/+4- 3:8/5,>5 - 7G / ,+</5,>5 A:/ 7!9 85>8>5*,>+-5? :+ 5/3:04-.> A:/ 3/5? ,=:-0 -

5/*:8/5-*,6+ ./ 0>3 L-34>3 ^,D>3 /B,4-C0/3 2?3 :+ *,/54> r 8-5- 5/*:8/5-5 8-54/ ./ 0>3 L-34>3 ^,D>3 ,+*:55,.>3F

70 8:+4> 5/0/B-+4/ 8-5- 4>2-5 0- ./*,3,6+ /+ /34/ *-3> /3 7G9 5/85/3/+4- /0 B>0:2/+ ./ B/+4-3 +/*/3-5

8-5- 5/*:8/5-5 -0 2/+>3 0>3 K>34>3 ^,D>3 /B,4-C0/3F

734/ 8:+4> 8:/./ 3/5 *-0*:0-.> ./ 0- 3,=:,/+4/ <>52-a

W, 0- /285/3- >8/5- - *:-0A:,/5 +,B/0 ,+</5,>5 -0 M:+4> ./ *,/55/9 0>3 *>34>3 B,B>3 /U*/./5?+ 0>3 Z+=5/3>3 ; -

3, A:/ 3/5? -*>+3/D-C0/ */55-5 0- 80-+4-F

7+ /0 /D/280>a

70 M:+4> ./ 7A:,0,C5,>

   

M:+4> ./ K,/55/

   

―Si la empresa fuera a operar al nivel de $18.000, los costos  B,B>3 B-5,-C0/3 3/5Q-+ ./ nGPFcPP ]&Pr ./ 0

 ventas) y los Costos Fijos por incurrir serían de $8.000, lo cual resultaría en una pérdida de $800 en efectivo.‖ 

c

!P

N,B/0 ./ 1*4,B,.-.

7!

7G

 f/+4-3

M\N(e `7 KZ7dd7K>34>3 ^,D>3 f,B>3

K>34>3 f-5,-C0/3 (>4-0/3v

GE 

Page 132: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 132/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G#!

3Q;Q;A   6 #98":": $& &_>"8"7="4 Z <&]%86 $& .>#54: .=4$>%54: 

\+- /285/3- 8:/./ -:2/+4-5 /0 2-5=/+ ./ *>+45,C:*,6+ ; 0-3 :+,.-./3 ./ 3:3 85>.:*4>3 ; C-D-5 /0 8:+4> .

/A:,0,C5,> 2/.,-+4/ :+- 2/D>5- /+ 0- 2/O*0- ./ 85>.:*4>3 A:/ B/+./9 /3 ./*,59 B/+.,/+.> 85>8>5*,>+-02/+4/ 2?

./ 0>3 85>.:*4>3 A:/ 4,/+/+ /0 2-5=/+ ./ *>+45,C:*,6+ 2?3 -04>9 3,+ >0B,.-5 0-3 5/345,**,>+/39 8>5 /D/280>a 3, 0-

*-8-*,.-. ./ M5>.:*4> /U*/./ /+ 2:*@> /0 +b2/5> ./ :+,.-./3 A:/ /0 2/5*-.> 8:/./ -C3>5C/59 0- /285/3-

>C4/+.5? /0 2-;>5 2-5=/+ ./ *>+45,C:*,6+ <>2/+4-+.> 0- B/+4- ./ -2C>3 85>.:*4>3 ; +> /0-C>5-+.> 3>0-2/+4/ /

A:/ 4,/+/+ :+ 2-;>5 2-5=/+ ./ *>+45,C:*,6+F

7D/280>a

.=4$>%54 3 .=4$>%54 A .=4$>%54 D

M5/*,>3 !P !$ $P

K>34>3 f-5,-C0/3 G! G! !$

 {{{{{ {{{{{ {{{{{ 

_-5=/+ ./ K>+45,C:*,6+ c G! G& 

K>34>3 ^,D>3 n#PPFPPP

R- M5>=5-2-*,6+ R,+/-09 /3 :+ ,+345:2/+4> 8>./5>3> 8-5- ./4/52,+-5 /0 +b2/5> ./ :+,.-./3 ./ *-.-

85>.:*4>9 A:/ 0- /285/3- ./C/ B/+./5 8-5- 2-U,2,O-5 3: 2-5=/+ ./ *>+45,C:*,6+F

W:8>+=- A:/ /+ /0 /D/280> @-; # *>2C,+-*,>+/3 <-*4,C0/3F

G 104/5+-4,B- !Pr E #Pr E %Pr

! 104/5+-4,B- #Pr E %Pr E !Pr

# 104/5+-4,B- %Pr E !Pr E #Pr

W:8:/34> ncPPFPPP f/+4-3

Page 133: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 133/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G##

3w 6O*(/-1*+01 

.=4$>%54 3 .=4$>%54 A .=4$>%54 D

!Pr #Pr %Pr 

M7 g g n&HIF&I$

Aw 6O*(/-1*+01 

.=4$>%54 3 .=4$>%54 A .=4$>%54 D

#Pr %Pr !Pr 

M7 g g n&&&F&&I

Dw 6O*(/-1*+01 

.=4$>%54 3 .=4$>%54 A .=4$>%54 D

%Pr !Pr #Pr 

M7 g g nIG$F!c%

3Q;Q;D  $&%":"@# $& c 6%&= 4 %4<.=6=  

7+ 0- ./*,3,6+ ./ @-*/5 > *>285-59 3/ *>28-5- /0 *>34> ./ 0- <-C5,*-*,6+ ./ :+ 85>.:*4> *>+ /0

85/*,> A:/ 3/ 8-=-5Q- 8>5 3: *>285-F

7D/280>a W:8>+=- A:/ :+- 7285/3-9 ./*,./ /34:.,-5 0- 8>3,C,0,.-. ./ <-C5,*-5 :+- 8,/O- /+ B/O ./ *>285-50-F

M5>.:**,6+a K>34> 4>4-0 f-5,-C0/ 8>5 :+,.-. nIPF

K>34>3 ^,D>3 n#%PFPPPF

K>285-5a K>34> 85>8>5*,>+-0 -0 +b2/5> ./ 8,/O-X nGPP 8>5 :+,.-.F

G –  PF%I#PPFPPP

G –  PF%%#PPFPPP

G –  PF%c#PPFPPP

Page 134: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 134/312

Page 135: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 135/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G#%

3Q;Q;K  = &#567"8"$6$ $& .=4$>%54: 

734/ -+?0,3,3 3/ /</*4b- *>+ /0 >CD/4> ./ *>+>*/5 •A:) 0Q+/- ./ 85>.:*4> ./C/ /0,2,+-53/€ e C,/+ •A:)

0Q+/- ./ 85>.:*4> *>+B,/+/ 2?3 /28:D-5€

d/38/*4> - 0- 85,2/5- ,+4/55>=-+4/a '3,/285/ A:/ 0>3 ,+=5/3>3 ./ :+- 0Q+/- ./ 85>.:*4> /U*/.-+ 3:3

*>34>3 /B,4-C0/39 ./C/ 5/4/+/53/ /3- 0Q+/-9 /3 ./*,5 3,/285/ ; *:-+.> /0 /38-*,> / ,+34-0-*,>+/3 A:/ 5/A:,/5/ +>

8:/.-+ /280/-53/ ./ 2-+/5- 2?3 B/+4-D>3-'F

70 8:+4> ./ /0,2,+-*,6+ ./ :+- 0Q+/- ./ 85>.:*4> /3 ,=:-0 -a

d/38/*4> - 0- 3/=:+.- 85/=:+4- •A:) 0Q+/- ./ 85>.:*4> *>+B,/+/ 2?3 /28:D-5€ •k /+ /0 <:4:5>

,+2/.,-4>€ 'J-; A:/ /0/=,5 -A:/00- 0Q+/- ./ 85>.:*4> A:/ 4/+=- 0- 8/+.,/+4/ 2?3 2-5*-.-9 ; 8>5 0> 4-+4> /0

2-5=/+ ./ *>+45,C:*,6+ 2?3 /0/B-.>9 )34- 3/5? 0- 0Q+/- A:/ 85>.:*,5?9 - K>54> M0-O>9 0>3 ,+=5/3>3 2?3

/0/B-.>3F

7D/280>a

 1 S K `

 f/+4-3 ]n[ G$FPPP HFPPP !$FPPP GcFPPP

K>34>3 f-5,-C0/3 cFPPP &FPPP G&FPPP cF%PP

_F ./ KF S5:4> &FPPP #FPPP cFPPP cF%PP

K>34>3 ,D>3 #F%PP !F%PP cFcPP &FPPP

\4,0,.-. !F%PP %PP ]cPP[F #F%PP

M>5*/+4-D/ ./

K-8-*,.-. 8>4/+*,-0 &Pr c%r $Pr H%r

 1*4:-0  

EK>34>3 ^,D>3

]K>34>3 f-5,-C0/3[]f/+4-3[3

M\N(e 7 7RZ_ZN1KZeN v

Page 136: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 136/312

Page 137: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 137/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G#I

3V  6 #&d4:;

3V;3  6 #&d4 32 < 6=%4 %4#%&.5>68 .6=6 86 .=&.6=6%"@# Z .=&:&#56%"@# $&

&:56$4: L"#6#%"&=4: 

"-*/EH'GG+,-

7+ +>B,/2C5/ ./ GHIG9 /0 J>+>5-C0/ K>+3/D> L/+/5-0 ./0 K>0/=,> ./ K>+4-.>5/3 ./ K@,0/ 1FLF

*5/6 0- ―Co2,3,6+ ./ M5,+*,8,>3 ; N>52-3 Contables‖, 8-5- *:280,5 *>+ :+- 5/3>0:*,6+ ./0

K:-54> K>+=5/3> N-*,>+-0 5/-0,O-.> /+ 3/84,/2C5/ ./ GHIP ; ./ -*:/5.> *>+ 0- -45,C:*,6+

*>+4/+,.- /+ 0- 0/45- ―G‖  ./0 -54Q*:0> G# ./ 0- R/; G#PGG A:/ *5/6 /0 K>0/=,> ./ K>+4-.>5/39 A:/

0/ /+45/=6 0- <-*:04-. ./ ―d,*4-5 +>52-3 5/0-4,B-3 -0 /D/5*,*,o profesional‖. 

R- K>2,3,6+ @- .,*4-.>9 ./3./ /+4>+*/39 +>52-3 85></3,>+-0/3 - 45-B)3 ./ :+- 3/5,/ ./

S>0/4,+/3 ()*+,*>3F 7+45/ /00>39 /0 S>0/4Q+ ()*+,*> NT G9 -85>C-.> /0 H ./ /+/5> ./ GHI#9 /+45/=6 0>3

<:+.-2/+4>3 ./ 0- /U85/3,6+ ―de  -*:/5.> *>+ 85,+*,8,>3 ; +>52-3 *>+4-C0/3 =/+/5-02/+4/

-*/84-.>3‖ :4,0,O-.- /+ 0>3 .,*4?2/+/3 / ,+<>52/3 85></3,>+-0/3 ; 3/ 5/<,5,6 - 0- (/>5Q- S?3,*- ./ 0-

K>+4-C,0,.-. /+ 0- *:-0 3/ <:+.-2/+4-C-+ 0>3 85,+*,8,>3 ; +>52-3 ./ /00-F R- K>2,3,6+ 5/*>+>*/

A:/ /0 S>0/4Q+ ()*+,*> NT G ./0 -V> GHI# <:/ :+ =5-+ -./0-+4> /+ /0 -V> /+ A:/ <:/ /2,4,.>F W,+

/2C-5=>9 *>+3,./5-+.> 0>3 -B-+*/3 A:/ @- /U8/5,2/+4-.> 0- ,+<>52-*,6+ *>+4-C0/ - +,B/0

,+4/5+-*,>+-09 3/ 5/A:,/5/ 0- /2,3,6+ ./ :+ +:/B> .>*:2/+4> A:/ ./2:/345/ A:/9 -:+ *:-+.> /U,34-

/A:,B-0/+*,- *>+ 2:*@>3 ./ 0>3 85,+*,8,>3 *>+4/+,.>3 /+ /0 0,34-.> 45-.,*,>+-09 /U,34/+ >45>3 A:/./5,B-+ ./ 0-3 *:-0,.-./3 ./ 0- ,+<>52-*,6+X ; -*4:-02/+4/ /3 8>3,C0/ /+45/=-5 :+- 2-;>5

85><:+.,O-*,6+ *>+*/84:-0 /+ -0=:+-3 ./<,+,*,>+/3 ./ 0>3 /0/2/+4>3 A:/ <>52-+ 0>3 /34-.>3

<,+-+*,/5>3 ; /+ 0>3 *5,4/5,>3 ./ 5/*>+>*,2,/+4> ; 2/.,*,6+F

73 -3Q *>2>9 *>+ 8>34/5,>5,.-. - 0- </*@- ./ 85>2:0=-*,6+ ./0 S>0/4Q+ ()*+,*> NY G9

,+34,4:*,>+/3 4-0/3 *>2> /0 ―A2/5,*-+ Z+34,4:4/ >< K/54,<,/. M:C0,*  Accountants‖ (AICP 1G [9

/+ 734-.>3 \+,.>3 ./ N>54/-2)5,*-9 - 45-B)3 ./0 ―Fina+*,-0 1**>:+4,+= W4-+.-5.3 Soard‖ 

]^1WS! [ ; /0 ―Internacional  1**>:+4,+= W4-+.-5.3 S>-5. ]Z1WS[#9 - +,B/0 ,+4/5+-*,>+-09 @-+

*>+4,+:-.> 85><:+.,O-+.> 0>3 /34:.,>3 /+ (/>5Q- K>+4-C0/9 @-34- 00/=-5 - 0- 85/8-5-*,6+ ;

<>52:0-*,6+ ./ :+ ―_-5*> K>+*/84:-0 8-5- 0- M5/8-5-*,6+ ; M5/3/+4-*,6+ ./ 734-.>3 Financieros‖.

`,*@> _-5*> K>+*/84:-0 /+45/=- 0-3 C-3/3 8-5- A:/ 0>3 /34-.>3 <,+-+*,/5>3 3-4,3<-=-+ 0-3

+/*/3,.-./3 ./ ,+<>52-*,6+ ./ 3:3 .,34,+4>3 :3:-5,>39 *:280-+ *>+ 0>3 >CD/4,B>3 ./ .,*@-

,+<>52-*,6+ ; 8/52,4-+9 - 45-B)3 ./ 0>3 5/A:,3,4>3 /U,=,.>3 - 0- ,+<>52-*,6+ ; - 0- ./<,+,*,6+ ./

Page 138: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 138/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G#c

0>3 /0/2/+4>3 A:/ <>52-+ 0>3 /34-.>3 <,+-+*,/5>39 /0 5/*>+>*,2,/+4> ; 2/.,*,6+ ./ /34>3 /0/2/+4>3F

 (/+,/+.> 85/3/+4/ 0> /U8:/34> ; *>+3,./5-+.>9 -./2?39 /0 ./3-55>00> -0*-+O-.> 8>5

+:/345- -*4,B,.-. /*>+62,*-9 4-+4> /+ /0 80-+> +-*,>+-0 *>2> ,+4/5+-*,>+-09 5/3:04- /B,./+4/

A:/ 0- ,+<>52-*,6+ <,+-+*,/5- -.A:,/5/ 2-;>5 5/0/B-+*,- ;9 *>+ /00>9 0- +/*/3,.-. ./ 8-54,*,8-5 /+ /0

./3-55>00> ./ 0- -52>+,O-*,6+ *>+4-C0/ - +,B/0 ,+4/5+-*,>+-0F

M>5 0> 4-+4>9 /0 J>+>5-C0/ K>+3/D> N-*,>+-0 ./0 K>0/=,> ./ K>+4-.>5/3 ./ K@,0/ 1FLF9 @-

*>+3,./5-.> +/*/3-5,> ,+,*,-5 :+ M0-+ ./ K>+B/5=/+*,- ./ 0-3 +>52-3 *>+4-C0/3 +-*,>+-0/3 *>+ 0-3

+>52-3 *>+4-C0/3 ,+4/5+-*,>+-0/3 ;9 5-O6+ 8>5 0- *:-0 3/ @- ./*,.,.> /34-C0/*/5 0>3 <:+.-2/+4>3

*>+*/84:-0/3 /+ 0>3 A:/ 3/ -8>;- 0- /0-C>5-*,6+ ./ 0- ,+<>52-*,6+ <,+-+*,/5-9 - 45-B)3 ./ 0- /2,3,6+ ./

:+ _-5*> K>+*/84:-0 8-5- 0- M5/8-5-*,6+ ; M5/3/+4-*,6+ ./ 0>3 734-.>3 ^,+-+*,/5>3 /+ K@,0/9 4-5/-

A:/ 0/ @- 3,.> /+*>2/+.-.- - 0- K>2,3,6+ ./ M5,+*,8,>3 ; N>52-3 ./ K>+4-C,0,.-.FK>+<>52/ - 0- ,+4/+*,6+ ./ *>+B/5=/+*,- A:/ >5,/+4- /34- 4-5/-9 0- K>2,3,6+ *>+3,./56

-./*:-.> 85/8-5-5 .,*@> .>*:2/+4> 3>C5/ 0- C-3/ ./0 _-5*> K>+*/84:-0 8-5- 0- M5/8-5-*,6+

; M5/3/+4-*,6+ ./ 0>3 734-.>3 ^,+-+*,/5>39 /2,4,.> 8>5 /0 Z1WSF `-.> 0> -+4/5,>5 ; *>+ 0- <,+-0,.-.

./ *>285/+./5 /0 ?+,2> *>+ /0 A:/ <:/ 85/8-5-.> .,*@> 4/U4>9 3/ *>+3,./56 >8>54:+> 85/3/+4-59 ./

2-+/5- Q+4/=5-9 3: 8560>=>a

― I'6=+* /,?$/*+*@ /- /) ,'-.# /-5/$#@ ?$/?+$+- : ?$/*/-5+- /*5+.#* 92-+-62/$#* ?+$+ '*'+$2#* /F5/$-#*E J'-&'/

5+)/* /*5+.#* 92-+-62/$#* ?'/./- ?+$/6/$ *2,2)+$/* /-5$/ '- ?+3* : #5$#@ /F2*5/- /- /))#* .29/$/-62+* 6+'*+.+*

 ?$#8+8)/,/-5/ ?#$ '-+ +,?)2+ A+$2/.+. ./ 62$6'-*5+-62+* *#62+)/*@ /6#-7,26+* : )/1+)/*K +*3 6#,# ?#$&'/ /- )#*

.29/$/-5/* ?+3*/* */ 52/-/- /- ,/-5/ )+* -/6/*2.+./* ./ .2*52-5#* '*'+$2#* ./ )#* /*5+.#* 92-+-62/$#* +) /*5+8)/6/$ )+

-#$,+52A+ 6#-5+8)/ -+62#-+)E 

L+)/* 62$6'-*5+-62+* .29/$/-5/* =+- ))/A+.# +) '*# ./ '-+ +,?)2+ A+$2/.+. ./ ./92-262#-/* ?+$+ )#*

/)/,/-5#* ./ )#* /*5+.#* 92-+-62/$#*@ /*5# /*@ ?+$+ +652A#*@ ?+*2A#*@ ?+5$2,#-2#@ 2-1$/*#* : 1+*5#*E H*+* ,2*,+*

62$6'-*5+-62+* =+- .+.# 5+,82(- 6#,# $/*')5+.# /) '*# ./ .29/$/-5/* 6$25/$2#* ?+$+ /) $/6#-#62,2/-5# ./ ?+$52.+* /- )#*

/*5+.#* 92-+-62/$#*@ +*3 6#,# /- ?$/9/$/-62+* ?#$ .29/$/-5/* 8+*/* ./ ,/.2627-E J*2,2*,#@ 5+-5# /) +)6+-6/ ./

)#* /*5+.#* 92-+-62/$#* 6#,# )+* 2-9#$,+62#-/* $/A/)+.+* /- /))#* =+- &'/.+.# 5+,82(- +9/65+.#* ?#$ /*+ 6#-G'-627- ./

62$6'-*5+-62+*E

G Z+34,4:4> 12/5,*-+> ./ K>+4-.>5/3 MbC0,*>3 K/54,<,*-.>3 

! K>2,4) ./ N>52-3 ./ K>+4-C,0,.-. ^,+-+*,/5- 

Page 139: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 139/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G#H

# K>+3/D> ./ N>52-3 Z+4/5+-*,>+-0/3 ./ K>+4-C,0,.-. 

 H) 4#,25( ./ M#$,+* 0-5/$-+62#-+)/* ./ 4#-5+82)2.+. N0JO4P 52/-/ )+ ,2*27- ./ $/.'62$ 5+)/* .29/$/-62+* ?#$ ,/.2#

./ )+ 8>*&'/.+ ./ )+ +$,#-2C+627- /-5$/ )+* $/1')+62#-/*@ -#$,+* 6#-5+8)/* : ?$#6/.2,2/-5#* $/)+52A#* + )+

 ?$/?+$+627- : ?$/*/-5+627- ./ )#* /*5+.#* 92-+-62/$#*E H) 0JO4 6$// &'/ /*5+ +$,#-2C+627- ,D* +,?)2+ ?'/./

 ?/$*/1'2$*/ ,/G#$ *2 )#* /*9'/$C#* */ 6#-6/-5$+- /- )#* /*5+.#* 92-+-62/$#* &'/ */ ?$/?+$+- 6#- /) ?$#?7*25# ./

*',2-2*5$+$ 2-9#$,+627- &'/ /* >52) ?+$+ )+ 5#,+ ./ ./62*2#-/* /6#-7,26+*E 

 H) 4#-*/G# ./) 0JO4 /*52,+ &'/ )#* /*5+.#* 92-+-62/$#* +*3 ?$/?+$+.#* 6'8$/- )+* -/6/*2.+./* 6#,'-/* ./ )+

,+:#$3+ ./ )#* '*'+$2#*E H*5# /* ?#$&'/ 6+*2 5#.#* )#* '*'+$2#* 5#,+- ./62*2#-/* /6#-7,26+*@ 6#,# ?#$ /G/,?)# )+*

*21'2/-5/*Q

-[./62.2$ *2 +.&'2$2$@ ,+-5/-/$ # A/-./$ +662#-/* # ./$/6=#* ?$#?2/5+$2#*K  

C[ /A+)'+$ )+ 1/*527- +.,2-2*5$+52A+ # )+ $/*?#-*+82)2.+. ./ )+ R/$/-62+K  

*[ /A+)'+$ )+ 6+?+62.+. ./ )+ /,?$/*+ ?+$+ ?+1+$ )+* $/,'-/$+62#-/* : *',2-2*5$+$ #5$#* 8/-/9262#* + *'*

/,?)/+.#*K  

.[ /A+)'+$ )+* ,/.2.+* ./ ?$#5/6627- *#8$/ )#* 9#-.#* ?$/*5+.#* + )+ /,?$/*+K  

/[./5/$,2-+$ )+* ?#)3526+* 5$28'5+$2+*K  

<[ ./5/$,2-+$ )+* '52)2.+./* .2*5$28'38)/* : )#* .2A2./-.#* + ?+1+$K  

=[ ?$/?+$+$ : '*+$ )+* /*5+.3*526+* ,+6$#/6#-7,26+* ./ 2-1$/*#* ./) ?+3*@ #  

@[ $/1')+$ )+* +652A2.+./* ./ )+* /,?$/*+*E H) 4#-*/G# $/6#-#6/ &'/ )#* 1#82/$-#*@ /- ?+$526')+$@ ?'/./- 92G+$ $/&'2*25#* .29/$/-5/* # +.262#-+)/* ?+$+ *'* ?$#?2#*

2-5/$/*/*E O2- /,8+$1#@ 5+)/* $/&'2*25#* 6#-5+8)/* -# ./8/- +9/65+$ + )#* /*5+.#* 92-+-62/$#* ?'8)26+.#* ?+$+ 8/-/9262# ./

#5$#* '*'+$2#*@ + ,/-#* &'/ 6'8$+- 5+,82(- )+* -/6/*2.+./* ./ /*#* #5$#* '*'+$2#*E 

R/-/$+),/-5/@ )#* /*5+.#* 92-+-62/$#* */ ?$/?+$+- ./ +6'/$.# 6#- '- ,#./)# 6#-5+8)/ 8+*+.# /- /) 6#*5# =2*57$26#

$/6'?/$+8)/@ +*3 6#,# /- /) 6#-6/?5# ./ ,+-5/-2,2/-5# ./) 4+?25+) 92-+-62/$# /- 5($,2-#* -#,2-+)/*E O2 */ 52/-/ /)

#8G/52A# ./ ?$#A//$ 2-9#$,+627- >52) ?+$+ 5#,+$ ./62*2#-/* /6#-7,26+*@ #5$#* 52?#* ./ ,#./)#* : 6#-6/?5#* ?'/./- */$

,D* +?$#?2+.#*@ *2 82/- -# /F2*5/ /- /) ,#,/-5# ?$/*/-5/ 6#-*/-*# ?+$+ 2,?)+-5+$ ,#.2926+62#-/* +) $/*?/65#E

 H*5/ I+$6# 4#-6/?5'+) =+ *2.# ./*+$$#))+.# ./ ,+-/$+ &'/ ?'/.+ +?)26+$*/ + '-+ A+$2+.+ 1+,+ ./ ,#./)#*

6#-5+8)/* : 6#-6/?5#* ./ "+5$2,#-2# : ./) mantenimiento del mismo”. 

3R 4XP(*+0E H(O <1/GE %E-G(T*'1O 

GF 70 _-5*> K>+*/84:-0 ./<,+/ 0>3 *>+*/84>3 /3/+*,-0/3 5/0-*,>+-.>3 *>+ 0- 85/8-5-*,6+

; 85/3/+4-*,6+ ./ 0>3 /34-.>3 <,+-+*,/5>3 8-5- :3:-5,>3 /U4/5+>39 3,/+.> 3: >CD/4,B>

Page 140: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 140/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G$P

-;:.-5 > <-*,0,4-5a

-[ 0- /2,3,6+ ; 5/B,3,6+ ./ 0-3 +>52-3 ; 85>*/.,2,/+4>3 5/0-4,B>3 - 0- 85/3/+4-*,6+

./ /34-.>3 <,+-+*,/5>3X

C[ 0- 85/8-5-*,6+ ./ 0>3 /34-.>3 <,+-+*,/5>39 0- -80,*-*,6+ ./ 0-3 +>52-3 ./

*>+4-C,0,.-.9 -3Q *>2> /0 45-4-2,/+4> ./ 2-4/5,-3 A:/ +> @-+ 3,.> 4>.-BQ- >CD/4> ./

:+- +>52- ./ *>+4-C,0,.-.X

*[ 0- ,+4/585/4-*,6+ ./ 0- ,+<>52-*,6+ *>+4/+,.- /+ 0>3 /34-.>3 <,+-+*,/5>3 85/8-5-.>3

3,=:,/+.> 0-3 +>52-3 ./ *>+4-C,0,.-.X

.[ 0- <>52-*,6+ ./ :+- >8,+,6+9 8>5 8-54/ ./ 0>3 -:.,4>5/3 /U4/5+>39 -*/5*- ./ 3, 0>3

/34-.>3 <,+-+*,/5>3 @-+ 3,.> 85/8-5-.>3 ./ -*:/5.> *>+ 0-3 +>52-3 ./ *>+4-C,0,.-.

-85>C-.-3 ; B,=/+4/3X

/[ 0- /+45/=- ./ ,+<>52-*,6+9 - 4>.>3 0>3 ,+4/5/3-.>3 /+ 0- /2,3,6+ ./ +>52-3 ./

*>+4-C,0,.-.9 -*/5*- ./ 0-3 C-3/3 :4,0,O-.-3 /+ .,*@> 85>*/3>X

!F 734/ _-5*> K>+*/84:-0 +> /3 :+ S>0/4Q+ ()*+,*> ;9 8>5 0> 4-+4>9 +> ./<,+/ 5/=0-3 /38/*Q<,*-3

./ 2/.,*,6+ > 85/3/+4-*,6+F (-28>*> 4,/+/ 8>./5 ./5>=-4>5,> 3>C5/ +,+=:+- +>52- ./

*>+4-C,0,.-.F

W/ 5/*>+>*/ A:/9 /+ -0=:+>3 *-3>39 8:/./ @-C/5 .,3*5/8-+*,-3 /+45/ /0 _-5*> K>+*/84:-0

; -0=:+- N>52- ./ K>+4-C,0,.-.F 7+ 4-0/3 *-3>39 0-3 .,38>3,*,>+/3 <,D-.-3 /+ 0- N>52-

-</*4-.- 85/B-0/*/+ 3>C5/ -A:/00-3 *>+4/+,.-3 /+ /0 _-5*> K>+*/84:-0F N> >C34-+4/9 .-.>

A:/ /0 ./3-55>00> ./ <:4:5-3 N>52-3 ; 0- 5/B,3,6+ ./ 0-3 /U,34/+4/3 3/ C-3-5? /+ /0 _-5*>K>+*/84:-09 .,*@-3 .,3*5/8-+*,-3 4/+./5?+ - ./3-8-5/*/5F

#F 70 _-5*> K>+*/84:-0 /3 :+ .>*:2/+4> A:/ -2/5,4- :+- 5/B,3,6+ 8/5,6.,*-9 *>+ /0 85>863,4>

./ 2/D>5-5 3: *>+4/+,.> 3>C5/ 0- C-3/ ./ 0- /U8/5,/+*,- -*:2:0-.- /+ /0 4,/28>F

AR 6OG1-G( H(O <1/GE %E-G(T*'1O 

$F 70 _-5*> K>+*/84:-0 *>285/+./ 0>3 3,=:,/+4/3 -38/*4>3a

-[ 70 >CD/4,B> ./ 0>3 /34-.>3 <,+-+*,/5>3F

C[ R-3 *-5-*4/5Q34,*-3 *:-0,4-4,B-3 A:/ ./4/52,+-+ 3, 0- ,+<>52-*,6+ *>+4/+,.- /+ 0>3 /34-.>3

<,+-+*,/5>3 /3 b4,0F

*[ R- ./<,+,*,6+9 5/*>+>*,2,/+4> ; 2/.,*,6+ ./ 0>3 /0/2/+4>3 A:/ *>+<>52-+ 0>3 /34-.>3

<,+-+*,/5>3F

.[ K>+*/84>3 ./ M-45,2>+,> ; ./0 2-+4/+,2,/+4> ./0 M-45,2>+,>F

%F 734/ _-5*> K>+*/84:-0 3/ 5/<,/5/ - 0>3 /34-.>3 <,+-+*,/5>3 ./ :3> =/+/5-0 ]A:/ 3/

Page 141: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 141/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G$G

./+>2,+-5?+ ./ -@>5- /+ -./0-+4/ ―e34-.>3 financieros‖),  ,+*0:;/+.> 0>3 /34-.>3

<,+-+*,/5>3 *>+3>0,.-.>3F `,*@>3 /34-.>3 <,+-+*,/5>3 3>+ 85/8-5-.>3 ; /2,4,.>3 - 0>

2/+>3 -+:-02/+4/ ; /34?+ >5,/+4-.>3 - 3-4,3<-*/5 0>3 5/A:/5,2,/+4>3 *>2:+/3 ./

,+<>52-*,6+ ./ .,34,+4>3 :3:-5,>39 -:+ *:-+.> -0=:+>3 ./ )34>3 8:/./+ +/*/3,4-5 ; /34-5

/+ *>+.,*,>+/3 ./ >C4/+/5 ,+<>52-*,6+ <,+-+*,/5- -.,*,>+-0 - 0- ,+*0:,.- /+ 0>3 /34-.>3

<,+-+*,/5>3F W,+ /2C-5=>9 2:*@>3 :3:-5,>3 4,/+/+ A:/ *>+<,-5 /+ 0>3 /34-.>3 <,+-+*,/5>3

*>2> 3: 85,+*,8-0 <:/+4/ ./ ,+<>52-*,6+ ; /3>3 /34-.>3 <,+-+*,/5>3 ./C,/5-+9 8>5 0>

4-+4>9 3/5 85/8-5-.>3 ; 85/3/+4-.>3 *>+3,./5-+.> 3:3 +/*/3,.-./3 ./ ,+<>52-*,6+F

&F R>3 /34-.>3 <,+-+*,/5>3 C?3,*>3 *>285/+./+ :+ *>+D:+4> ,+4/55/0-*,>+-.> ./ ,+<>52/39

,+4/=5-.> 8>5 /0 C-0-+*/ =/+/5-09 /0 /34-.> ./ 5/3:04-.>39 /0 /34-.> ./ <0:D> ./ /</*4,B>9 0-3

+>4-3 /U80,*-4,B-3 ; >45>3 -+/U>3 *>280/2/+4-5,>3 A:/ <>52-+ 8-54/ ,+4/=5-0 ./ 0>3

/34-.>3 <,+-+*,/5>3F 1./2?39 8:/./+ ,+*0:,53/ *:-.5>3 3:80/2/+4-5,>3 ; >45- ,+<>52-*,6+

C-3-.- /+ 4-0/3 /34-.>3 <,+-+*,/5>39 A:/ 3/ /38/5- 3/-+ 0/Q.>3 D:+4> *>+ /00>3F W,+ /2C-5=>9

+> 3/ *>+3,./5-+ *>2> 8-54/ ./ 0>3 /34-.>3 <,+-+*,/5>3 C?3,*>3 0>3 ,+<>52/3 3>C5/ =/34,6+

=/5/+*,-09 0>3 *>2/+4-5,>3 ./0 `,5/*4>5,> /+ 0- _/2>5,- 1+:-0 - 0>3 -**,>+,34-3 ; 0>3 -+?0,3,3

85/8-5-.>3 8>5 0- -.2,+,345-*,6+ 3>C5/ 0- ,+<>52-*,6+ <,+-+*,/5-F

IF R>3 ,+<>52/3 <,+-+*,/5>3 *>+ >CD/4,B>3 /38/*,-0/39 *>2> 0>3 5/A:/5,.>3 8>5 >5=-+,32>3

<,3*-0,O-.>5/3 *>+ <,+/3 45,C:4-5,>39 +> /34?+ *:C,/54>3 8>5 /0 85/3/+4/ _-5*> K>+*/84:-09 -

2/+>3 A:/ /0 *>+4/+,.> ./ )34/ 3/- *>+3/*:/+4/ *>+ 0-3 +>52-3 8-54,*:0-5/3 A:/ 5,=/+ -

.,*@>3 ,+<>52/3 /38/*,-0/3FcF 734/ _-5*> K>+*/84:-0 /3 -80,*-C0/ - 0>3 /34-.>3 <,+-+*,/5>3 ./ 4>.-3 0-3 /285/3-3

5/8>54-+4/39 3/-+ *>2/5*,-0/39 ,+.:345,-0/3 ; >45-39 4-+4> /+ /0 3/*4>5 8bC0,*> *>2> /+ /0

85,B-.>F \+- /285/3- 5/8>54-+4/ /3 :+- /285/3- 8-5- 0- *:-0 /U,34/+ :3:-5,>3 A:/ *>+<Q-+ /+

0>3 /34-.>3 <,+-+*,/5>3 *>2> 3: 85,+*,8-0 <:/+4/ ./ ,+<>52-*,6+ <,+-+*,/5- 3>C5/ 0- /285/3-F

DR >)'1/+E) F )') -(G()+H1H() H( +-IE/J1G+,- 

HF R>3 :3:-5,>3 ./ /34-.>3 <,+-+*,/5>3 ,+*0:;/+ ,+B/53,>+,34-3 -*4:-0/3 ; 8>4/+*,-0/39

/280/-.>39 <,+-+*,34-39 85>B//.>5/3 ; >45>3 -*5//.>5/3 *>2/5*,-0/39 *0,/+4/39 >5=-+,32>3

8bC0,*>3 ; /0 8bC0,*> /+ =/+/5-0F 700>3 :4,0,O-+ 0>3 /34-.>3 <,+-+*,/5>3 8-5- 3-4,3<-*/5 -0=:+-3

./ 3:3 .,</5/+4/3 +/*/3,.-./3 ./ ,+<>52-*,6+F 734-3 +/*/3,.-./3 ,+*0:;/+ 0-3 3,=:,/+4/3a

-[ 0-A/$*2#-2*5+*E R>3 3:2,+,345-.>5/3 ./ *-8,4-0 ./ 5,/3=> ; 3:3 -3/3>5/3 /34?+ 85/>*:8-.>3

8>5 /0 5,/3=> ,+@/5/+4/ ; 8>5 /0 5/+.,2,/+4> A:/ B-+ - >C4/+/5 ./ 0-3 ,+B/53,>+/39 8>5 0>

4-+4>9 +/*/3,4-+ ,+<>52-*,6+ A:/ 0/3 -;:./ - ./4/52,+-5 3, ./C/+ -.A:,5,59 2-+4/+/5 >

Page 142: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 142/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G$!

 B/+./5F R>3 -**,>+,34-3 /34?+ 4-2C,)+ ,+4/5/3-.>3 /+ 0- ,+<>52-*,6+ A:/ 0/3 8/52,4-

/B-0:-5 0- *-8-*,.-. ./ 0- /285/3- 8-5- 8-=-5 .,B,./+.>3F

C[ H,?)/+.#*E R>3 45-C-D-.>5/3 /+ =/+/5-09 ; 0-3 -=5:8-*,>+/3 3,+.,*-0/3 /34?+ ,+4/5/3-.>3 /+

0- 3,4:-*,6+ <,+-+*,/5- ./ 0- /285/3- ]/34-C,0,.-.[9 /+ 3: 5/+4-C,0,.-. ; *-8-*,.-. 8-5-

5/38>+./5 -0 8-=> ./ 3:3 5/2:+/5-*,>+/3 ; >45>3 C/+/<,*,>3F

*[ S2-+-62*5+*E R>3 85>B//.>5/3 ./ 5/*:53>3 -D/+>3 - 0>3 85>8,/4-5,>3 ./ 0- /+4,.-. /34?+

,+4/5/3-.>3 /+ 0- ,+<>52-*,6+ A:/ 0/3 8/52,4- /B-0:-5 0- *-8-*,.-. ./ 0- 2,32-

8-5- 8-=-5 0>3 85)34-2>3 ; 3:3 *>55/38>+.,/+4/3 ,+4/5/3/39 /+ 0>3 80-O>3 *>+B/+,.>3F

.[ "$#A//.#$/* : #5$#* +6$//.#$/* 6#,/$62+)/* F 734?+ ,+4/5/3-.>3 /+ 0- ,+<>52-*,6+ A:/ 0/3

8/52,4- ./4/52,+-5 3, 0>3 2>+4>3 A:/ 3/ 0/3 -./:.-+ 3/5?+ 8-=-.>3 - 3: B/+*,2,/+4> 8>5

:+ 8/5Q>.> 2?3 *>54> A:/ /0 A:/ ,+4/5/3- - :+ <,+-+*,34-9 - 2/+>3 A:/ ./8/+.-+ ./ 0-

*>+4,+:,.-. ./ 0- /+4,.-. 8>5 3/5 :+ *0,/+4/ ,28>54-+4/F

/[ 4)2/-5/*E  1 0>3 *0,/+4/3 0/3 ,+4/5/3- .,38>+/5 ./ 0- ,+<>52-*,6+ -*/5*- ./ 0- *>+4,+:,.-. ./

0- /285/3-9 /38/*,-02/+4/ *:-+.> 4,/+/+ *>285>2,3>3 - 0-5=> 80-O> > ./8/+./+

*>2/5*,-02/+4/ ./ /00-F

<[ T$1+-2*,#* ?>8)26#* F R-3 /+4,.-./3 =:C/5+-2/+4-0/3 /34?+ ,+4/5/3-.-3 /+ 0- .,345,C:*,6+ ./

0>3 5/*:53>3 ;9 8>5 0> 4-+4>9 8>5 /0 ./3/28/V> ./ 0-3 /285/3-3F (-2C,)+ 5/A:,/5/+ ./ 0-

,+<>52-*,6+ ./34,+-.- - 5/=:0-5 0- -*4,B,.-. ./ 0-3 /285/3-39 <,D-5 8>0Q4,*-3 45,C:4-5,-3 ;

:4,0,O-5 /34- ,+<>52-*,6+ 8-5- 85/8-5-5 3:3 /34-.Q34,*-3 +-*,>+-0/3 2-*5>/*>+62,*-3 ;

>45-3F=[ ">8)26# /- 1/-/$+) F (>.-3 0-3 8/53>+-39 .,5/*4- > ,+.,5/*4-2/+4/9 /34?+ -</*4-.-3 8>5 0-

-*4,B,.-. ./ 0-3 /285/3-3 ; 8:/./+ 5/A:/5,5 ,+<>52-*,6+ -*/5*- ./ 3: ./3-55>00>9

8/538/*4,B-3 ; -0*-+*/ ./ 3:3 -*4,B,.-./3F

GPF 1:+A:/ /U,34/+ +/*/3,.-./3 ./ ,+<>52-*,6+ A:/ 3>+ *>2:+/3 - 4>.>3 0>3 :3:-5,>3

*,4-.>39 +> 4>.-3 /00-3 8:/./+ A:/.-5 *:C,/54-3 3>0> 8>5 0>3 /34-.>3 <,+-+*,/5>3F M:/34>

A:/ 0>3 ,+B/53,>+,34-3 3>+ 0>3 3:2,+,345-.>5/3 ./ *-8,4-0E 5,/3=> - 0- /285/3-9 0-3

,+<>52-*,>+/3 *>+4/+,.-3 /+ 0>3 /34-.>3 <,+-+*,/5>3 A:/ *:C5-+ 3:3 +/*/3,.-./39 *:C5,5?+

4-2C,)+ 2:*@-3 ./ 0-3 +/*/3,.-./3 A:/ >45>3 :3:-5,>3 /38/5-+ >C4/+/5 ./ 4-0/3 /34-.>3

<,+-+*,/5>3F

GGF R- 85,+*,8-0 5/38>+3-C,0,.-.9 /+ 5/0-*,6+ *>+ 0- 85/8-5-*,6+ ; 85/3/+4-*,6+ ./ 0>3 /34-.>3

<,+-+*,/5>39 *>55/38>+./ - 0- =/5/+*,- ./ 0- /285/3-F R- 85>8,- =/5/+*,- /34? 4-2C,)+

,+4/5/3-.- /+ 0- ,+<>52-*,6+ A:/ *>+4,/+/+ 0>3 /34-.>3 <,+-+*,/5>39 - 8/3-5 ./ A:/ 4,/+/

Page 143: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 143/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G$#

-**/3> - >45- ,+<>52-*,6+ <,+-+*,/5- ; ./ =/34,6+ A:/ 0/ -;:.- /+ 3: 80-+,<,*-*,6+9 4>2- ./

./*,3,>+/3 ; 5/38>+3-C,0,.-./3 ./ *>+45>0F R- =/5/+*,- ./ 0- /285/3- 4,/+/ 0- 8>3,C,0,.-. ./

./4/52,+-5 0- <>52- ; *>+4/+,.> ./ 4-0 ,+<>52-*,6+ -.,*,>+-09 ./ 2-+/5- A:/ 3-4,3<-=- 3:3

85>8,-3 +/*/3,.-./39 8/5> +, /3- <>52- +, /3/ *>+4/+,.> *-/+ ./+45> ./0 -0*-+*/ ./0

85/3/+4/ _-5*> K>+*/84:-0F N> >C34-+4/9 0>3 /34-.>3 <,+-+*,/5>3 8:C0,*-.>3 8>5 0-3

/285/3-3 3/ C-3-+ /+ 0- ,+<>52-*,6+ :3-.- 8>5 0- =/5/+*,-9 3>C5/ 0- 3,4:-*,6+ <,+-+*,/5-9 0>3

5/3:04-.>3 ; /0 <0:D> ./ /</*4,B>F

7R 47B&5"C4 $& 84: &:56$4: L"#6#%"&=4: 

G!F 70 >CD/4,B> ./ 0>3 /34-.>3 <,+-+*,/5>3 /3 85>8>5*,>+-5 ,+<>52-*,6+ b4,0 - :+- -280,- =-2-

./ :3:-5,>3 A:/ 4>2-+ ./*,3,>+/3 ./ 4,8> /*>+62,*> -*/5*- ./ 0- 3,4:-*,6+ <,+-+*,/5-9

5/3:04-.>3 ; <0:D> ./ /</*4,B> ./ 0- /+4,.-.F

G#F R>3 /34-.>3 <,+-+*,/5>3 *:C5/+ 0-3 +/*/3,.-./3 *>2:+/3 ./ 0- 2-;>5Q- ./ 0>3 :3:-5,>3F W,+

/2C-5=> /00>3 +> 85>8>5*,>+-+ 4>.- 0- ,+<>52-*,6+ +/*/3-5,- 8-5- 4>2-5 0-3 ./*,3,>+/3

/*>+62,*-39 8:/3 3/ 5/<,/5/+ - /</*4>3 <,+-+*,/5>3 ./ @/*@>3 8-3-.>3 ; +> ,+*0:;/+

+/*/3-5,-2/+4/ ,+<>52-*,6+ A:/ +> 3/- ./ 4,8> <,+-+*,/5>F

G$F R>3 /34-.>3 <,+-+*,/5>3 4-2C,)+ 2:/345-+ 0>3 5/3:04-.>3 ./ 0- -.2,+,345-*,6+ 00/B-.- -

*-C> 8>5 0- =/5/+*,-9 > .-+ *:/+4- ./ 3: 5/38>+3-C,0,.-. 8>5 0>3 5/*:53>3 *>+<,-.>3 -

0- 2,32-F 1A:/00>3 :3:-5,>3 A:/ ./3/-+ /B-0:-5 0- -.2,+,345-*,6+ > 5/38>+3-C,0,.-. ./ 0-

=/5/+*,-9 0> @-*/+ 8-5- 4>2-5 ./*,3,>+/3 /*>+62,*-39 *>2> 8:/./+ 3/59 3, 2-+4/+/5 >

 B/+./5 3: ,+B/53,6+ /+ 0- /285/3-9 > 3, *>+4,+:-5 > 5//280-O-5 - 0>3 -.2,+,345-.>5/3/+*-5=-.>3 ./ 0- =/34,6+ ./ 0- /+4,.-.F

M :+*'1G+,- I+-1-G+(/1N /()'O*1HE) F IO'PE) H( (I(G*+0E 

G%F R-3 ./*,3,>+/3 /*>+62,*-3 A:/ 4>2-+ 0>3 :3:-5,>3 ./ 0>3 /34-.>3 <,+-+*,/5>3 5/A:,/5/+

:+- /B-0:-*,6+ ./ 0- *-8-*,.-. A:/ 0- /285/3- 4,/+/ ./ =/+/5-5 /</*4,B> : >45>3

5/*:53>3 /A:,B-0/+4/3 -0 /</*4,B>9 -3Q *>2> 0- >8>54:+,.-. /+ A:/ 3/ 85>.:*,5?+ ; 0- */54/O-

./ 4-0 =/+/5-*,6+ ./ 0,A:,./OF 7+ ./<,+,4,B-9 /3 /34- *-8-*,.-. 0- A:/ ./4/52,+-9 8>5 /D/280>9

0- 8>3,C,0,.-. A:/ 4,/+/ 0- /285/3- 8-5- 8-=-5 - 3:3 /280/-.>3 ; 85>B//.>5/39 .-5

*:280,2,/+4> - 0>3 8-=>3 ./ ,+4/5/3/3 ; ./ 85)34-2>3 ; 85>*/./5 - .,345,C:,5 =-+-+*,-3 - 0>3

85>8,/4-5,>3F R>3 :3:-5,>3 8:/./+ /B-0:-5 2/D>5 /34- *-8-*,.-. 8-5- =/+/5-5 /</*4,B>9 3, 3/

0/3 3:2,+,345- ,+<>52-*,6+ */+45-.- /+ 0- 3,4:-*,6+ <,+-+*,/5-9 0>3 5/3:04-.>3 ; /0 <0:D> ./

/</*4,B> ./ 0- /285/3-F

G&F R- 3,4:-*,6+ <,+-+*,/5- ./ :+- /285/3- 3/ B/ -</*4-.- 8>5 0>3 5/*:53>3 /*>+62,*>3

Page 144: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 144/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G$$

A:/ *>+45>0-9 8>5 3: /345:*4:5- <,+-+*,/5-9 8>5 3: 0,A:,./O ; 3>0B/+*,-9 -3Q *>2> 8>5 0-

*-8-*,.-. 8-5- -.-84-53/ - 0>3 *-2C,>3 @-C,.>3 /+ /0 2/.,> -2C,/+4/ /+ /0 A:/ >8/5-F

R- ,+<>52-*,6+ -*/5*- ./ 0>3 5/*:53>3 /*>+62,*>3 *>+45>0-.>3 8>5 0- /285/3- ; ./

0- *-8-*,.-. A:/ 4:B> 8-5- 2>.,<,*-5 4-0/3 5/*:53>39 /3 b4,0 -0 /B-0:-5 0- 8>3,C,0,.-. A:/ 0-

/285/3- 4,/+/ 8-5- =/+/5-5 /+ /0 <:4:5> /</*4,B> ; ./2?3 /A:,B-0/+4/3 ./ /</*4,B>F R-

,+<>52-*,6+ -*/5*- ./ 0- /345:*4:5- <,+-+*,/5- /3 b4,0 8-5- 85/./*,5 0-3 +/*/3,.-./3

<:4:5-3 ./ 85)34-2>39 -3Q *>2> 8-5- /+4/+./5 *62> 0-3 :4,0,.-./3 ; <0:D>3 ./ /</*4,B> <:4:5>3

3/5?+ .,345,C:,.>3 /+45/ 0>3 A:/ 4,/+/+ 8-54,*,8-*,6+ /+ 0- 85>8,/.-. ./ 0- /285/3-X 4-2C,)+ /3

b4,0 -0 85/./*,5 3, 0- /285/3- 4/+.5? )U,4> /+ 0- >C4/+*,6+ ./ +:/B-3 <:/+4/3 ./

<,+-+*,-2,/+4>F R- ,+<>52-*,6+ -*/5*- ./ 0- 0,A:,./O ; 3>0B/+*,- /3 b4,0 -0 85/./*,5 0- *-8-*,.-.

./ 0- /285/3- 8-5- *:280,5 3:3 *>285>2,3>3 <,+-+*,/5>3 3/=b+ B-;-+ B/+*,/+.>F 70 4)52,+>

0,A:,./O 3/ 5/<,/5/ - 0- .,38>+,C,0,.-. ./ /</*4,B> /+ :+ <:4:5> 856U,2>9 ./38:)3 ./ @-C/5

*>+3,./5-.> /0 8-=> ./ 0>3 *>285>2,3>3 <,+-+*,/5>3 ./0 8/5Q>.>F 70 4)52,+> 3>0B/+*,- 3/

5/<,/5/ - 0- .,38>+,C,0,.-. ./ /</*4,B> *>+ :+- 8/538/*4,B- - 0-5=> 80-O>9 8-5- *:280,5 *>+ 0>3

*>285>2,3>3 <,+-+*,/5>3 3/=b+ B-;-+ B/+*,/+.> 0-3 >C0,=-*,>+/3F

GIF R- ,+<>52-*,6+ -*/5*- ./0 ./3/28/V> ./ :+- /285/3-9 ; /+ 8-54,*:0-5 3>C5/ 3: 5/+4-C,0,.-.9

3/ +/*/3,4- 8-5- /B-0:-5 *-2C,>3 8>4/+*,-0/3 /+ 0>3 5/*:53>3 /*>+62,*>39 A:/ /3

85>C-C0/ A:/ 8:/.- *>+45>0-5 /+ /0 <:4:5>F 1 /34/ 5/38/*4>9 0- ,+<>52-*,6+ 3>C5/ 0-

 B-5,-C,0,.-. ./ 0>3 5/3:04-.>3 /3 ,28>54-+4/F R- ,+<>52-*,6+ -*/5*- ./0 ./3/28/V> ./

0- /285/3- /3 b4,0 -0 85/./*,5 0- *-8-*,.-. ./ 0- 2,32- 8-5- =/+/5-5 <0:D>3 ./ /</*4,B> - 8-54,5./ 0- *>28>3,*,6+ -*4:-0 ./ 3:3 5/*:53>3F (-2C,)+ /3 b4,0 -0 <>52-5 D:,*,>3 -*/5*- ./ 0- /<,*-*,-

*>+ 0- A:/ 0- /285/3- 8:/.- /280/-5 5/*:53>3 -.,*,>+-0/3F

GcF R- ,+<>52-*,6+ -*/5*- ./0 <0:D> ./ /</*4,B> ./ :+- /285/3- /3 b4,0 8-5- /B-0:-5 3:3

-*4,B,.-./3 ./ ,+B/53,6+9 <,+-+*,-2,/+4> ; >8/5-*,>+-0/39 .:5-+4/ /0 8/5Q>.> A:/ *:C5/ 0-

,+<>52-*,6+ <,+-+*,/5-F 734- ,+<>52-*,6+ /3 b4,0 8>5A:/ 3:2,+,345- -0 :3:-5,> 0- C-3/ 8-5-

/B-0:-5 0- *-8-*,.-. ./ 0- /285/3- 8-5- =/+/5-5 /</*4,B> ; >45>3 5/*:53>3 /A:,B-0/+4/3 -0

2,32>9 -3Q *>2> 0-3 +/*/3,.-./3 ./ 0- /285/3- 8-5- :4,0,O-5 4-0/3 <0:D>3 ./ /</*4,B>F 10

85/8-5-5 /0 /34-.> ./ <0:D> ./ /</*4,B>9 /0 3,=+,<,*-.> ./0 4)52,+> ―fondos‖  8:/./ 3/5

./<,+,.> ./ B-5,-3 2-+/5-39 4-0/3 *>2> 5/*:53>3 <,+-+*,/5>39 *-8,4-0 ./ 45-C-D>9 -*4,B>3

*,5*:0-+4/3 > /</*4,B>F 7+ K@,0/ /0 4)52ino ―fondos‖ es ./<,+,.> *>2> /</*4,B> ; /A:,B-0/+4/3

./ /</*4,B>F

GHF R- ,+<>52-*,6+ -*/5*- ./ 0- 3,4:-*,6+ <,+-+*,/5- /3 85>8>5*,>+-.- C?3,*-2/+4/ 8>5 /0

Page 145: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 145/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G$%

C-0-+*/ =/+/5-0F R- ,+<>52-*,6+ -*/5*- ./0 ./3/28/V> /3 3:2,+,345-.- <:+.-2/+4-02/+4/

8>5 /0 /34-.> ./ 5/3:04-.>3F R- ,+<>52-*,6+ -*/5*- ./ 0>3 <0:D>3 ./ <>+.>3 /3 3:2,+,345-.-

8>5 /0 /34-.> ./ <0:D> ./ /</*4,B>F

!PF R-3 8-54/3 A:/ *>28>+/+ 0>3 /34-.>3 <,+-+*,/5>3 /34?+ ,+4/55/0-*,>+-.-3 8>5A:/ 5/<0/D-+

.,</5/+4/3 -38/*4>3 ./ 0-3 2,32-3 45-+3-**,>+/3 : >45>3 @/*@>3 A:/ @-+ -</*4-.> - 0-

/285/3-F 1:+A:/ *-.- :+> ./ 0>3 /34-.>3 3:2,+,345- ,+<>52-*,6+ A:/ /3 .,</5/+4/ ./ 0>3

./2?39 /3 ,285>C-C0/ A:/ :+> 3/- 3:<,*,/+4/ 8-5- :+ 85>863,4> /+ 8-54,*:0-5 > A:/ *>+4/+=-

4>.- 0- ,+<>52-*,6+ +/*/3-5,- 8-5- -0=:+- +/*/3,.-. ./ 0>3 :3:-5,>3 /+ 8-54,*:0-5F M>5

/D/280>9 :+ /34-.> ./ 5/3:04-.>3 3:2,+,345- :+ *:-.5> ,+*>280/4> ./0 ./3/28/V> ./ 0-

/285/3-9 - 2/+>3 A:/ 3/ :3/ /+ *>+D:+4> *>+ /0 C-0-+*/ =/+/5-0 ; *>+ /0 /34-.> ./ <0:D>3 ./

/</*4,B>F

!GF R>3 /34-.>3 <,+-+*,/5>3 4-2C,)+ *>+4,/+/+ +>4-39 *:-.5>3 *>280/2/+4-5,>3 ; >45-

,+<>52-*,6+F M>5 /D/280>9 8:/./+ *>+4/+/5 ,+<>52-*,6+ -.,*,>+-0 A:/ 3/- 5/0/B-+4/ 8-5- 0-3

+/*/3,.-./3 ./ 0>3 :3:-5,>3 5/38/*4> - ./4/52,+-.-3 8-54,.-3 ./0 C-0-+*/ =/+/5-0 ; ./0 /34-.>

./ 5/3:04-.>3F M:/./+ ,+*0:,59 /+45/ >45>39 ,+<>52-*,>+/3 -*/5*- ./ 0>3 *5,4/5,>3 *>+4-C0/3

-80,*-.>39 *-2C,>3 *>+4-C0/39 3-0.>3 ; 45-+3-**,>+/3 *>+ /285/3-3 5/0-*,>+-.-39 ,+B/53,>+/3

/+ /285/3-3 5/0-*,>+-.-39 ,28:/34>3 - 0- 5/+4-9 ,28:/34>3 .,</5,.>39 *-2C,>3 /+ /0 M-45,2>+,>9

0>3 5,/3=>3 / ,+*/54,.:2C5/3 A:/ -</*4-+ - 0- /285/3-9 ; 4-2C,)+ 3>C5/ 5/*:53>3 : >C0,=-*,>+/3

+> 5/*>+>*,.-3 /+ /0 C-0-+*/ =/+/5-0 ]4-0/3 *>2> 5/3/5B-3 2,+/5-3[F 13,2,32>9 8:/./ 4-2C,)+

85>8>5*,>+-53/9 /+ 0-3 +>4-3 ; *:-.5>3 *>280/2/+4-5,>39 ,+<>52-*,6+ -*/5*- ./ 3/=2/+4>3 ./+/=>*,>3 > =/>=5?<,*>39 > -*/5*- ./0 /</*4> 3>C5/ 0- /285/3- ./ 0>3 *-2C,>3 /+ 0>3 85/*,>3F

%R .4:5>86$4: 79:"%4: 

3R $(0(-S1HE 

!!F K>+ /0 <,+ ./ *:280,5 3:3 >CD/4,B>39 0>3 /34-.>3 <,+-+*,/5>3 3/ 85/8-5-+ 3>C5/ 0- C-3/ ./

./B/+=-.>F W/=b+ /34- C-3/9 0>3 /</*4>3 ./ 0-3 45-+3-**,>+/3 ; ./2?3 @/*@>3 3/ 5/*>+>*/+

*:-+.> >*:55/+ ]; +> *:-+.> 3/ 5/*,C/ > 8-=- .,+/5> : >45> /A:,B-0/+4/ ./ /</*4,B>[9 3/

5/=,345-+ /+ 0>3 0,C5>3 *>+4-C0/3 ; 3/ ,+<>52- 3>C5/ /00>3 /+ 0>3 /34-.>3 <,+-+*,/5>3 ./ 0>3

8/5Q>.>3 *>+ 0>3 *:-0/3 3/ 5/0-*,>+-+F R>3 /34-.>3 <,+-+*,/5>3 85/8-5-.>3 3>C5/ 0- C-3/

./ ./B/+=-.> ,+<>52-+ - 0>3 :3:-5,>3 +> 3>0> ./ 0-3 45-+3-**,>+/3 8-3-.-3 A:/ 3,=+,<,*-5>+

*>C5>3 > 8-=>3 ./ .,+/5>9 3,+> 4-2C,)+ ./ 0-3 >C0,=-*,>+/3 ./ 8-=> /+ /0 <:4:5> ; ./ 0>3

5/*:53>3 A:/ 5/85/3/+4-+ /</*4,B> - *>C5-5 /+ /0 <:4:5>F M>5 4>.> 0> -+4/5,>59 4-0/3 /34-.>3

3:2,+,345-+ /0 4,8> ./ ,+<>52-*,6+9 -*/5*- ./ 0-3 45-+3-**,>+/3 ; >45>3 @/*@>3 8-3-.>39

Page 146: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 146/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G$&

A:/ 5/3:04-+ 2?3 b4,0/3 - 0>3 :3:-5,>3 -0 4>2-5 ./*,3,>+/3 /*>+62,*-3F

AR %E-G(T*E H( (JT/()1 (- J1/GU1 

!#F R>3 /34-.>3 <,+-+*,/5>3 3/ 85/8-5-+ +>52-02/+4/ 3>C5/ 0- C-3/ ./ A:/ 0- /285/3-

/34? /+ <:+*,>+-2,/+4> ; *>+4,+:-5? 3:3 -*4,B,.-./3 ./ >8/5-*,6+ ./+45> ./0 <:4:5>

85/B,3,C0/F M>5 0> 4-+4>9 3/ -3:2/ A:/ 0- /285/3- +> 4,/+/ +, 0- ,+4/+*,6+ +, 0- +/*/3,.-. ./

0,A:,.-5 > .,32,+:,5 ./ <>52- ,28>54-+4/ /0 +,B/0 ./ 3:3 >8/5-*,>+/3F W, 4-0 ,+4/+*,6+ >

+/*/3,.-. /U,34,/5-9 0>3 /34-.>3 <,+-+*,/5>3 8:/./+ 4/+/5 A:/ 85/8-5-53/ 3>C5/ :+- C-3/

.,</5/+4/ ;9 3, -3Q <:/5-9 3/ 5/B/0-5? 0- C-3/ :4,0,O-.-F

$R %6=6%5&=W:5"%6: %>68"565"C6: $& 84: &:56$4: L"#6#%"&=4: 

!$F R-3 *-5-*4/5Q34,*-3 *:-0,4-4,B-3 3>+ -45,C:4>3 A:/ @-*/+ b4,0 8-5- 0>3 :3:-5,>3 0- ,+<>52-*,6+

*>+4/+,.- /+ 0>3 /34-.>3 <,+-+*,/5>3F 734-3 *-5-*4/5Q34,*-3 3>+a

GF K>285/+3,C,0,.-.!F d/0/B-+*,-

E Z28>54-+*,- 5/0-4,B-

#F ^,-C,0,.-.

$F K>28-5-C,0,.-.

3R %EJT/(-)+X+O+H1H 

!%F R- ,+<>52-*,6+ ./C/ 3/5 <?*,02/+4/ *>285/+3,C0/ 8-5- 0>3 :3:-5,>39 A:,/+/3 3/ 3:8>+/ A:/

4,/+/+ :+ *>+>*,2,/+4> 3:<,*,/+4/ ./ 0-3 -*4,B,.-./3 /*>+62,*-39 ./0 2:+.> ./ 0>3 +/=>*,>39

-3Q *>2> ./ *>+4-C,0,.-. ; A:/ 4,/+/+ 0- ,+4/+*,6+ ; 0- B>0:+4-. ./ -+-0,O-5 0- ,+<>52-*,6+

/+ <>52- 5-O>+-C0/2/+4/ *:,.-.>3-F R- ,+<>52-*,6+ A:/ 5/B,34/ *>280/D,.-.9 ; A:/ 3/-

+/*/3-5,- 8-5- 0- 4>2- ./ ./*,3,>+/39 +> ./C/ 3/5 /U*0:,.- 3>0> 8>5A:/ )34- 3/- ./ 2:;

.,<Q*,0 *>285/+3,6+ 8>5 -0=:+>3 :3:-5,>3F

AR =(O(01-G+1 

!&F M-5- 3/5 b4,09 0- ,+<>52-*,6+ ./C/ 3/5 5/0/B-+4/ 8-5- 0-3 +/*/3,.-./3 ./ 4>2- ./ ./*,3,>+/3

8>5 8-54/ ./ 0>3 :3:-5,>3F R- ,+<>52-*,6+ 8>3// 0- *:-0,.-. ./ 0- 5/0/B-+*,- *:-+.> /D/5*/

,+<0:/+*,- 3>C5/ 0-3 ./*,3,>+/3 /*>+62,*-3 ./ 0>3 A:/ 0- :4,0,O-+9 -;:.?+.>0/3 - /B-0:-5@/*@>3 8-3-.>39 85/3/+4/3 > <:4:5>39 > C,/+ - *>+<,52-5 > *>55/=,5 /B-0:-*,>+/3 5/-0,O-.-3

-+4/5,>52/+4/F

!IF 70 5>0 85/.,*4,B> ; /0 ./ *>+<,52-*,6+ ./ 0- ,+<>52-*,6+ /34?+ ,+4/55/0-*,>+-.>3F

M>5 /D/280>9 0- ,+<>52-*,6+ -*/5*- ./0 +,B/0 -*4:-0 ; 0- /345:*4:5- ./ 0>3 -*4,B>3 8>3/Q.>3

4,/+/ B-0>5 8-5- 0>3 :3:-5,>3 *:-+.> ,+4/+4-+ 85/./*,5 0- *-8-*,.-. ./ 0- /285/3- 8-5-

Page 147: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 147/312

Page 148: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 148/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G$c

DR L+1X+O+H1H 

#GF M-5- 3/5 b4,09 0- ,+<>52-*,6+ 4-2C,)+ ./C/ 3/5 <,-C0/F R- ,+<>52-*,6+ 8>3// 0- *:-0,.-. ./

<,-C,0,.-. *:-+.> /34? 0,C5/ ./ /55>5 3,=+,<,*-4,B> ; ./ 3/3=> > 85/D:,*,>9 ; 0>3 :3:-5,>3

8:/./+ *>+<,-5 /+ A:/ /3 0- ,2-=/+ <,/0 ./ 0> A:/ 85/4/+./ 5/85/3/+4-59 > ./ 0> A:/

8:/./ /38/5-53/ 5-O>+-C0/2/+4/ A:/ 5/85/3/+4/F

#!F R- ,+<>52-*,6+ 8:/./ 3/5 5/0/B-+4/9 8/5> 4-+ 8>*> *>+<,-C0/ /+ 3: +-4:5-0/O-9 *>2> /+ 3:

85/3/+4-*,6+9 A:/ 3: 5/*>+>*,2,/+4> 8:/.- 3/5 8>4/+*,-02/+4/ :+- <:/+4/ ./ /A:QB>*>3F

M>5 /D/280>9 3, 3/ /+*:/+45- /+ .,38:4- D:.,*,-0 0- 0/=,4,2,.-. ; 2>+4> ./ :+-

,+./2+,O-*,6+ 8>5 .-V>39 8:/./ +> 3/5 -85>8,-.> 8-5- 0- /285/3- 5/*>+>*/5 /0 2>+4>

4>4-0 ./ 0- ,+./2+,O-*,6+ /+ /0 C-0-+*/ =/+/5-0F W,+ /2C-5=>9 8:/./ 5/3:04-5 -85>8,-.>

5/B/0-5 /+ +>4-3 /0 2>+4> ; -+4/*/./+4/3 ./ 0- ,+./2+,O-*,6+F

-[ d/85/3/+4-*,6+ <,/0

##F M-5- 3/5 <,-C0/9 0- ,+<>52-*,6+ ./C/ 5/85/3/+4-5 <,/02/+4/ 0-3 45-+3-**,>+/3 ; ./2?3 @/*@>3

A:/ 85/4/+./ 5/85/3/+4-59 > A:/ 3/ 8:/./ /38/5-5 5-O>+-C0/2/+4/ A:/ 5/85/3/+4/F 13Q9 8>5

/D/280>9 :+ C-0-+*/ =/+/5-0 ./C/ 5/85/3/+4-5 <,/02/+4/ 0-3 45-+3-**,>+/3 ; ./2?3 @/*@>3

A:/ @-+ .-.> *>2> 5/3:04-.> 0>3 -*4,B>39 8-3,B>3 ; 8-45,2>+,> ./ 0- /285/3- /+ 0- </*@-

./ *,/55/9 3,/285/ A:/ *:280-+ 0>3 5/A:,3,4>3 8-5- 3: 5/*>+>*,2,/+4> *>+4-C0/F

#$F S:/+- 8-54/ ./ 0- ,+<>52-*,6+ <,+-+*,/5- /34? 3:D/4- - *,/54> 5,/3=> ./ +> 3/5 /0 5/<0/D> <,/0./ 0> A:/ 85/4/+./ 5/85/3/+4-5F 734> +> /3 ./C,.> -0 3/3=> > 85/D:,*,>9 3,+> 2?3 C,/+ - 0-3

.,<,*:04-./3 ,+@/5/+4/39 4-+4> - 0- ,./+4,<,*-*,6+ ./ 0-3 45-+3-**,>+/3 ; ./2?3 @/*@>3

A:/ ./C/+ 2/.,53/9 *>2> - 0- /0/**,6+ ; -80,*-*,6+ ./ 0-3 4)*+,*-3 ./ 2/.,*,6+ ;

85/3/+4-*,6+ A:/ /+45/=-+ ,+<>52-*,6+ 5/0-*,>+-.- *>+ /3-3 45-+3-**,>+/3 ; @/*@>3F 7+

*,/54>3 *-3>39 0- 2/.,*,6+ ./ 0>3 /</*4>3 <,+-+*,/5>3 ./ 0-3 45-+3-**,>+/3 *>+00/B- 4-+4-

,+*/54,.:2C5/ A:/ 0-3 /285/3-39 +> 0>3 5/*>+>*/+ /+ 0>3 /34-.>3 <,+-+*,/5>3F M>5

/D/280>9 -:+A:/ 2:*@-3 /285/3-3 =/+/5-+ *>+ /0 4,/28> :+- 80:3B-0Q-9 /3 :3:-02/+4/

.,<Q*,0 ,./+4,<,*-5 > 2/.,5 <,-C0/2/+4/ 4-0 -*4,B> ,+4-+=,C0/F W,+ /2C-5=>9 /+ >45>3 *-3>3 8:/./

3/5 5/0/B-+4/ 5/*>+>*/5 *,/54-3 8-54,.-3 ; 5/B/0-5 /0 5,/3=> ./ /55>5 A:/ ,280,*- 3:

5/*>+>*,2,/+4> ; 2/.,*,6+F

C[ R- /3/+*,- 3>C5/ 0- <>52-

#%F W, 0- ,+<>52-*,6+ 4,/+/ *>2> >CD/4,B> 5/85/3/+4-5 <,/02/+4/ 0-3 45-+3-**,>+/3 ; ./2?3

Page 149: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 149/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G$H

@/*@>3 A:/ 3/ 85/4/+./+ 5/<0/D-59 /3 +/*/3-5,> A:/ )34>3 3/ *>+4-C,0,*/+ ; 85/3/+4/+ ./

-*:/5.> *>+ 3: /3/+*,- ; 5/-0,.-. /*>+62,*-9 ; +> 2/5-2/+4/ 3/=b+ 3: <>52- 0/=-0F R-

/3/+*,- ./ 0-3 45-+3-**,>+/3 ; ./2?3 @/*@>3 +> 3,/285/ 3>+ *>+3,34/+4/3 *>+ 0> A:/

-8-5/+4-+ 8>5 3: <>52- 0/=-0 > /U4/5+-F M>5 /D/280>9 :+- /285/3- 8:/./ B/+./5 :+

-*4,B> - :+ 4/5*/5> ./ 4-0 2-+/5- A:/ 0- .>*:2/+4-*,6+ -8>54-.- .) - /+4/+./5 A:/ 0-

85>8,/.-. @- 8-3-.> - /34/ 4/5*/5>F W,+ /2C-5=>9 8:/./+ /U,34,5 3,2:04?+/-2/+4/

-*:/5.>3 A:/ -3/=:5/+ - 0- /285/3- *>+4,+:-5 .,3<5:4-+.> ./ 0>3 C/+/<,*,>3

/*>+62,*>3 ./0 -*4,B> /+ *:/34,6+F 7+ 4-0/3 *,5*:+34-+*,-39 85/3/+4-5 ,+<>52-*,6+ 3>C5/

0- /U,34/+*,- ./ :+- B/+4- +> 5/85/3/+4- <,/02/+4/ 0- 45-+3-**,6+ /</*4:-.- ]3, /3 A:/ /+

5/-0,.-. @:C,/3/ >*:55,.> 4-0 45-+3-**,6+[F

*[ N/:45-0,.-.

#&F M-5- 3/5 <,-C0/9 0- ,+<>52-*,6+ *>+4/+,.- /+ 0>3 /34-.>3 <,+-+*,/5>3 ./C/ 3/5 +/:45-09 /3

./*,59 0,C5/ ./ 3/3=> > 85/D:,*,>F R>3 /34-.>3 <,+-+*,/5>3 +> 3>+ +/:45-0/3 3,9 8>5 0-

2-+/5- ./ *-84-5 > 85/3/+4-5 0- ,+<>52-*,6+9 ,+<0:;/+ /+ 0- 4>2- ./ :+- ./*,3,6+ > /+ 0-

<>52-*,6+ ./ :+ D:,*,>9 - <,+ ./ *>+3/=:,5 :+ 5/3:04-.> > ./3/+0-*/ 85/./4/52,+-.>F

.[ M5:./+*,-

#IF N> >C34-+4/9 A:,/+/3 85/8-5-+ /34-.>3 <,+-+*,/5>3 4,/+/+ A:/ /+<5/+4-53/ *>+ 0-3

,+*/54,.:2C5/3 A:/9 ,+/B,4-C0/2/+4/9 5>./-+ 2:*@>3 -*>+4/*,2,/+4>3 ;

*,5*:+34-+*,-39 4-0/3 *>2> 0- 5/*:8/5-C,0,.-. ./ ./:.>5/3 .:.>3>39 0- B,.- b4,0 85>C-C0/ ./

0-3 85>8,/.-./39 80-+4-3 ; /A:,8>3 > /0 +b2/5> ./ 3>0,*,4:./3 ./ *:280,2,/+4> ./=-5-+4Q-3 8>34EB/+4- A:/ 8:/.- 5/*,C,5 0- /285/3-F (-0/3 ,+*/54,.:2C5/3 3>+

5/*>+>*,.-3 2/.,-+4/ 0- 85/3/+4-*,6+ ./ ,+<>52-*,6+ -*/5*- ./ 3: +-4:5-0/O- ; 2>+4>

85>C-C0/9 -3Q *>2> 8>5 /0 /D/5*,*,> ./ 85:./+*,- /+ 0- 85/8-5-*,6+ ./ 0>3 /34-.>3

<,+-+*,/5>3F M5:./+*,- /3 0- ,+*0:3,6+ ./ :+ *,/54> =5-.> ./ 85/*-:*,6+9 -0 5/-0,O-5 0>3

D:,*,>3 +/*/3-5,>3 -0 @-*/5 0-3 /34,2-*,>+/3 5/A:/5,.-3 C-D> *>+.,*,>+/3 ./ ,+*/54,.:2C5/9 ./

4-0 2-+/5- A:/ 0>3 -*4,B>3 > 0>3 ,+=5/3>3 +> 3/ 3>C5/B-0>5/+ ; A:/ 0-3 >C0,=-*,>+/3 > 0>3

=-34>3 +> 3/ 3:CB-0>5/+F N> >C34-+4/9 0- -80,*-*,6+ ./ 0- 85:./+*,- +> 8/52,4/9 8>5

/D/280>9 0- *5/-*,6+ ./ 5/3/5B-3 >*:04-3 > 85>B,3,>+/3 /U*/3,B-39 0- 3:CEB-0>5-*,6+

./0,C/5-.- ./ -*4,B>3 > ,+=5/3>39 +, 0- 3>C5/EB-0>5-*,6+ ./0,C/5-.- ./ >C0,=-*,>+/3 > =-34>39

8>5A:/ 0>3 /34-.>3 <,+-+*,/5>3 +> 5/3:04-5Q-+ +/:45-0/3 ; 8>5 0> 4-+4>9 +> 4/+.5Q-+ 0- *:-0,.-.

./ 0- <,-C,0,.-.F

Page 150: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 150/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G%P

/[ Z+4/=5,.-.

#cF M-5- 3/5 <,-C0/9 0- ,+<>52-*,6+ /+ 0>3 /34-.>3 <,+-+*,/5>3 ./C/ 3/5 *>280/4- ./+45> ./ 0>3

0Q2,4/3 ./ 3: ,28>54-+*,- 5/0-4,B- ; 3: *>34>F \+- >2,3,6+ 8:/./ *-:3-5 A:/ 0-

,+<>52-*,6+ 3/- <-03- > /A:QB>*-9 ; 8>5 0> 4-+4> +> <,-C0/ ; ./<,*,/+4/ /+ 4)52,+>3 ./ 3:

5/0/B-+*,-F

KR %EJT1/1X+O+H1H 

#HF R>3 :3:-5,>3 ./C/+ 3/5 *-8-*/3 ./ *>28-5-5 0>3 /34-.>3 <,+-+*,/5>3 ./ :+- /285/3- - 0>

0-5=> ./0 4,/28>9 *>+ /0 <,+ ./ ,./+4,<,*-5 0-3 4/+./+*,-3 ./ 0- 3,4:-*,6+ <,+-+*,/5- ; ./ 3:3

5/3:04-.>3F (-2C,)+ ./C/+ 3/5 *-8-*/3 ./ *>28-5-5 0>3 /34-.>3 <,+-+*,/5>3 ./ /285/3-3

.,</5/+4/39 *>+ /0 <,+ ./ /B-0:-5 3: 8>3,*,6+ <,+-+*,/5-9 5/3:04-.>3 ; <0:D> ./ /</*4,B> /+

4)52,+>3 5/0-4,B>3F M>5 0> 4-+4>9 0- 2/.,*,6+ ; 0- 85/3/+4-*,6+ ./ 0>3 /</*4>3 <,+-+*,/5>3 ./

45-+3-**,>+/3 ; @/*@>3 3,2,0-5/39 ./C/+ 3/5 /</*4:-.-3 :+,<>52/2/+4/ 8>5 0- /285/3- ./

:+ 8/5Q>.> - >45> ; 4-2C,)+ ./ 2-+/5- *>+3,34/+4/ /+45/ .,</5/+4/3 /285/3-3F

$PF R- *-5-*4/5Q34,*- *:-0,4-4,B- ./ 0- *>28-5-C,0,.-. ,280,*- A:/ 0>3 :3:-5,>3 @-+ ./ 3/5

,+<>52-.>3 ./ 0-3 8>0Q4,*-3 *>+4-C0/3 /280/-.-3 /+ 0- 85/8-5-*,6+ ./ 0>3 /34-.>3

<,+-+*,/5>39 ./ *:-0A:,/5 *-2C,> @-C,.> /+ 4-0/3 8>0Q4,*-3 ; ./ 0>3 /</*4>3 ./ 4-0/3

*-2C,>3F R>3 :3:-5,>3 +/*/3,4-+ 3/5 *-8-*/3 ./ ,./+4,<,*-5 0-3 .,</5/+*,-3 /+45/ 0-3 8>0Q4,*-3

*>+4-C0/3 :3-.-39 8-5- 3,2,0-5/3 45-+3-**,>+/3 ; >45>3 @/*@>39 8>5 0- 2,32- /285/3- ./

:+ 8/5Q>.> - >45>9 ; 4-2C,)+ 8>5 .,</5/+4/3 /285/3-3F R- *>+<>52,.-. *>+ 0>3

85,+*,8,>3 ./ *>+4-C,0,.-. =/+/5-02/+4/ -*/84-.>3 /+ K@,0/9 ,+*0:;/+.> 0- 5/B/0-*,6+./ 0-3 8>0Q4,*-3 *>+4-C0/3 :3-.-3 8>5 0- /285/3-9 /3 :+- -;:.- 8-5- -0*-+O-5 0-

./3/-.- *>28-5-C,0,.-.F

$GF R- +/*/3,.-. ./ *>28-5-C,0,.-. +> ./C/ 3/5 *>+<:+.,.- 3>0> *>+ :+,<>52,.-. ; 4-28>*>

./C/ 8/52,4,53/ A:/ 00/=:/ - 3/5 :+ ,28/.,2/+4> 8-5- 0- ,+45>.:**,6+ ./ +>52-3 ./

*>+4-C,0,.-. 2?3 -./*:-.-3F N> /3 -85>8,-.> 8-5- :+- /285/3- *>+4,+:-5 *>+4-C,0,O-+.>

./ 0- 2,32- <>52- :+- 45-+3-**,6+ : >45> @/*@> 3, 0- 8>0Q4,*- *>+4-C0/ -.>84-.- +>

*>+*:/5.- *>+ 3:3 *-5-*4/5Q34,*-3 *:-0,4-4,B-3 ./ 5/0/B-+*,- ; <,-C,0,.-.F (-2C,)+ /3

,+-85>8,-.> 8-5- :+- /285/3- *>+3/5B-5 3,+ *-2C,>3 3:3 8>0Q4,*-3 *>+4-C0/3 *:-+.> /U,34-+

>45-3 -04/5+-4,B-3 2?3 5/0/B-+4/3 > <,-C0/3F

$!F (/+,/+.> 85/3/+4/ A:/ 0>3 :3:-5,>3 ./3/-+ *>28-5-5 0- 3,4:-*,6+ <,+-+*,/5-9 5/3:04-.>3 ;

<0:D> ./ /</*4,B> ./ :+- /285/3- - 0> 0-5=> ./0 4,/28>9 /3 ,28>54-+4/9 A:/ 0>3

/34-.>3 <,+-+*,/5>3 2:/345/+ 0- *>55/38>+.,/+4/ ,+<>52-*,6+ ./ 0>3 8/5Q>.>3 -+4/5,>5/3F

Page 151: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 151/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G%G

&R =&:5="%%"4#&: 6 86 "#L4=<6%"@# =&8&C6#5& Z L"678& 

G[ e8>54:+,.-. ./ 0- ,+<>52-*,6+

$#F W, @-; :+ 5/45-3> ,+./C,.> /+ 0- 85/3/+4-*,6+ ./ 0- ,+<>52-*,6+9 )34- 8:/./ 8/5./5 3:

5/0/B-+*,-F R- =/5/+*,- 8:/./ +/*/3,4-5 /B-0:-5 0-3 B/+4-D-3 ./ 0- 85/3/+4-*,6+ - 4,/28>

<5/+4/ -0 3:2,+,345> ./ ,+<>52-*,6+ <,-C0/F 1 2/+:.>9 8-5- 3:2,+,345-5 ,+<>52-*,6+ -

4,/28> /3 +/*/3-5,> 85/3/+4-50- -+4/3 ./ A:/ 4>.>3 0>3 -38/*4>3 ./ :+- ./4/52,+-.-

45-+3-**,6+ : >45> @/*@> 3/-+ *>+>*,.>39 8/5D:.,*-+.> -3Q 3: <,-C,0,.-.F 1 0- ,+B/53-9 3, 0-

85/3/+4-*,6+ 3/ ./2>5- @-34- 8>./5 *>+>*/5 4>.>3 3:3 -38/*4>39 0- ,+<>52-*,6+ 8:/./ 3/5

-04-2/+4/ <,-C0/9 8/5> ./ 8>*- :4,0,.-. 8-5- 0>3 :3:-5,>3 A:/ @-+ 4/+,.> A:/ 4>2-5 ./*,3,>+/3

/+ /0 ,+4/54-+4>F M-5- 0>=5-5 :+ /A:,0,C5,> /+45/ 5/0/B-+*,- ; <,-C,0,.-.9 0-

*>+3,./5-*,6+ ./*,3,B- /3 *62> 3/ 3-4,3<-*/+ 2/D>5 0-3 +/*/3,.-./3 ./ 4>2- ./ ./*,3,>+/3

/*>+62,*-3 ./ 0>3 :3:-5,>3F

![ 7A:,0,C5,> /+45/ C/+/<,*,> ; *>34>

$$F 70 /A:,0,C5,> /+45/ C/+/<,*,> ; *>34> /3 :+- ,28>54-+4/ 5/345,**,6+9 2?3 A:/ :+-

*-5-*4/5Q34,*- *:-0,4-4,B-F R>3 C/+/<,*,>3 ./5,B-.>3 ./ 0- ,+<>52-*,6+ ./C/+ /U*/./5 0>3

*>34>3 ./ 3:2,+,345-50-F W,+ /2C-5=>9 0- /B-0:-*,6+ ./ C/+/<,*,>3 ; *>34>3 /39

3:34-+*,-02/+4/9 :+ 85>*/3> ./ D:,*,>3 ./ B-0>5F 73 2?39 0>3 *>34>3 +> 3>+ 3>8>54-.>3

+/*/3-5,-2/+4/ 8>5 A:,/+/3 .,3<5:4-+ ./ 0>3 C/+/<,*,>3F R>3 C/+/<,*,>3 8:/./+ 3/5

.,3<5:4-.>3 8>5 :3:-5,>3 .,34,+4>3 ./ -A:)00>3 8-5- 0>3 A:/ 3/ 85/8-5- 0- ,+<>52-*,6+F M>5

/D/280>9 /0 3:2,+,345> ./ 2-;>5 ,+<>52-*,6+ - 0>3 85/34-2,34-3 8:/./ 5/.:*,5 0>3 *>34>3 ./085)34-2> 3>0,*,4-.> 8>5 0- /285/3-F M>5 /34-3 5-O>+/39 /3 .,<Q*,0 -80,*-5 :+- 85:/C- ./ *>34>E

C/+/<,*,> /+ *-.- *-3> /+ 8-54,*:0-5F N> >C34-+4/9 0>3 /0-C>5-.>5/3 ./ +>52-3 ./

*>+4-C,0,.-. /+ 8-54,*:0-59 -3Q *>2> 0>3 A:/ 85/8-5-+ 0>3 /34-.>3 <,+-+*,/5>3 ; 0>3 :3:-5,>3

/+ =/+/5-09 ./C/+ /34-5 *>+3*,/+4/3 ./ /34- 5/345,**,6+F

#[ 7A:,0,C5,> /+45/ *-5-*4/5Q34,*-3 *:-0,4-4,B-3

$%F 7+ 0- 85?*4,*-9 /3 - 2/+:.> +/*/3-5,> :+ /A:,0,C5,> > *>+45-8/3> /+45/ 0-3

*-5-*4/5Q34,*-3 *:-0,4-4,B-3F L/+/5-02/+4/9 /0 >CD/4> /3 *>+3/=:,5 :+ /A:,0,C5,> -85>8,-.>

/+45/ 4-0/3 *-5-*4/5Q34,*-39 *>+ /0 <,+ ./ *:280,5 /0 >CD/4,B> ./ 0>3 /34-.>3 <,+-+*,/5>3F R-

,28>54-+*,- 5/0-4,B- ./ *-.- *-5-*4/5Q34,*- /+ *-.- *-3> 8-54,*:0-5 /3 :+- *:/34,6+ ./ D:,*,>

85></3,>+-0F

Page 152: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 152/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G%!

LR "<6?&# L"&8 \ .=&:&#56%"@# =6]4#678& 

$&F ^5/*:/+4/2/+4/ 3/ *>+3,./5- A:/ 0>3 /34-.>3 <,+-+*,/5>3 2:/345-+ 0- ,2-=/+ <,/0 ./9 >

85/3/+4-+ 5-O>+-C0/2/+4/9 0- 3,4:-*,6+ <,+-+*,/5-9 5/3:04-.>39 ; <0:D>3 ./ /</*4,B> ./ 0-

/285/3-F 1:+A:/ /34/ _-5*> K>+*/84:-0 +> 45-4- .,5/*4-2/+4/ 4-0/3 *>+*/84>39 0-

-80,*-*,6+ ./ 0-3 85,+*,8-0/3 *-5-*4/5Q34,*-3 *:-0,4-4,B-3 ; ./ 0-3 +>52-3 ./ *>+4-C,0,.-.

-85>8,-.-39 5/3:04-5? +>52-02/+4/9 /+ /34-.>3 <,+-+*,/5>3 A:/ 45-32,4-+ 0> A:/

=/+/5-02/+4/ 3/ /+4,/+./ *>2> :+- ,2-=/+ <,/09 > :+- 85/3/+4-*,6+ 5-O>+-C0/ ./ 4-0

,+<>52-*,6+F

?R 84: &8&<&#54: $& 84: &:56$4: L"#6#%"&=4: 

$IF R>3 /34-.>3 <,+-+*,/5>3 5/<0/D-+ 0>3 /</*4>3 <,+-+*,/5>3 ./ 0-3 45-+3-**,>+/3 ; ./ >45>3

@/*@>39 -=5:8?+.>0>3 /+ =5-+./3 *-4/=>5Q-39 ./ -*:/5.> *>+ 3:3 *-5-*4/5Q34,*-3

/*>+62,*-3F 734-3 =5-+./3 *-4/=>5Q-3 3>+ ./+>2,+-.-3 0>3 /0/2/+4>3 ./ 0>3 /34-.>3

<,+-+*,/5>3F R>3 /0/2/+4>3 5/0-*,>+-.>3 .,5/*4-2/+4/ *>+ 0- 2/.,*,6+ ./ 0- 3,4:-*,6+

<,+-+*,/5- /+ /0 C-0-+*/ =/+/5-0 3>+ 0>3 -*4,B>39 0>3 8-3,B>3 ; /0 8-45,2>+,>F R>3 /0/2/+4>3

.,5/*4-2/+4/ 5/0-*,>+-.>3 *>+ 0- 2/.,*,6+ ./0 ./3/28/V> /+ /0 /34-.> ./ 5/3:04-.>3 3>+ 0>3

,+=5/3>3 ; 0>3 =-34>3F 70 /34-.> ./ <0:D>3 ./ /</*4,B> =/+/5-02/+4/ 5/<0/D- /0/2/+4>3 ./0

/34-.> ./ 5/3:04-.>3 ; *-2C,>3 /+ 0>3 /0/2/+4>3 ./0 C-0-+*/ =/+/5-0F M>5 *>+3,=:,/+4/9

/34/ _-5*> K>+*/84:-0 +> ,./+4,<,*- +,+=b+ /0/2/+4> A:/ 3/- /U*0:3,B> 8-5- /34/ b04,2>

/34-.>F

$cF R- 85/3/+4-*,6+ ./ 0>3 /0/2/+4>3 85/*/./+4/39 4-+4> /+ /0 C-0-+*/ =/+/5-0 *>2> /+ /0 /34-.>./ 5/3:04-.>39 ,280,*- :+ 85>*/3> ./ 3:CE*0-3,<,*-*,6+F M>5 /D/280>9 0>3 -*4,B>3 ; 8-3,B>3

8:/./+ 3/5 *0-3,<,*-.>3 3/=b+ 3: +-4:5-0/O- > ./ -*:/5.> *>+ 3: <:+*,6+ /+ 0- -*4,B,.-.

/285/3-5,-09 - <,+ ./ 85/3/+4-5 0- ,+<>52-*,6+ ./ 0- <>52- 2?3 b4,0 - 0>3 :3:-5,>3 8-5- 0>3

85>863,4>3 ./ 4>2- ./ ./*,3,>+/3 /*>+62,*-3F

3R :+*'1G+,- I+-1-G+(/1 

$HF R>3 /0/2/+4>3 5/0-*,>+-.>3 .,5/*4-2/+4/ *>+ 0- 2/.,*,6+ ./ 0- 3,4:-*,6+ <,+-+*,/5-

3>+ 0>3 -*4,B>39 0>3 8-3,B>3 ; /0 8-45,2>+,>F W/ ./<,+/+ *>2> 3,=:/a

-[ \+ -*4,B> /3 :+ 5/*:53> *>+45>0-.> 8>5 0- /285/3- *>2> 5/3:04-.> ./ @/*@>3 8-3-.>39

./0 *:-0 0- /285/3- /38/5- >C4/+/59 /+ /0 <:4:5>9 C/+/<,*,>3 /*>+62,*>3F

C[ \+ 8-3,B> /3 :+- >C0,=-*,6+ 85/3/+4/ ./ 0- /285/3-9 3:5=,.- - 5-QO ./ @/*@>3 8-3-.>39 -0

 B/+*,2,/+4> ./ 0- *:-0 ; 8-5- 8-=-50-9 0- /285/3- /38/5- ./385/+./53/ ./ 5/*:53>3

A:/ ,+*>58>5-+ C/+/<,*,>3 /*>+62,*>3F

Page 153: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 153/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G%#

*[ M-45,2>+,> /3 0- 8-54/ 5/3,.:-0 /+ 0>3 -*4,B>3 ./ 0- /285/3-9 :+- B/O ./.:*,.>3

4>.>3 3:3 8-3,B>3F

%PF R-3 ./<,+,*,>+/3 ./ -*4,B>9 8-3,B> ; 8-45,2>+,> ,./+4,<,*-+ 3:3 *-5-*4/5Q34,*-3 /3/+*,-0/39

8/5> +> 85/4/+./+ /38/*,<,*-5 0-3 *>+.,*,>+/3 - *:280,5 8-5- A:/ 4-0/3 /0/2/+4>3 3/

5/*>+>O*-+ /+ /0 C-0-+*/ =/+/5-0F M>5 0> 4-+4>9 *,/54-3 8-54,.-3 8:/./+ *-C/5 /+ 0-3

./<,+,*,>+/39 8/5> +> 3/ 5/*>+>*/5?+ *>2> -*4,B>3 > 8-3,B>3 /+ /0 C-0-+*/ =/+/5-09

8>5A:/ +> *:280/+ *>+ 0-3 *>+.,*,>+/3 8-5- 3: 5/*>+>*,2,/+4>9 4-0 ; *>2> 3/ -+-0,O-

/+ 0>3 8?55-<>3 c! - HcF 7+ 8-54,*:0-59 0- /U8/*4-4,B- ./ A:/ 00/=-5?+ > 3-0.5?+ C/+/<,*,>3

/*>+62,*>3 ./ 0- /285/3-9 ./C/ 4/+/5 /0 3:<,*,/+4/ =5-.> ./ */54/O- 8-5- *:280,5 0-

*>+.,*,6+ ./ 85>C-C,0,.-. ./0 8?55-<> c#9 8-5- 8/52,4,5 A:/ 3/ 5/*>+>O*- :+ -*4,B> >

:+ 8-3,B>F

%GF 10 /B-0:-5 3, :+- 8-54,.- *:280/ 0- ./<,+,*,6+ ./ -*4,B>9 8-3,B> > 8-45,2>+,>9 ./C/85/34-53/ -4/+*,6+ - 0-3 *>+.,*,>+/3 /3/+*,-0/3 ; - 0- 5/-0,.-. /*>+62,*- A:/ 3:C;-*/+ /+

0- 2,32-9 ; +> 2/5-2/+4/ - 3: <>52- 0/=-0F 13Q9 8>5 /D/280>9 /+ /0 *-3> ./ -55/+.-2,/+4>3

<,+-+*,/5>39 0- /3/+*,- ; 5/-0,.-. /*>+62,*- /3 A:/ /0 -55/+.-4-5,> -.A:,/5/ 0>3 C/+/<,*,>3

/*>+62,*>3 <:4:5>3 8>5 /0 :3> ./0 -*4,B> -55/+.-.> .:5-+4/ 0- 2-;>5 8-54/ ./ 3: B,.- b4,09

-*/84-+.> *>2> *>+45-8-54,.- ./ 4-0 ./5/*@> :+- >C0,=-*,6+ ./ 8-=> 8>5 :+ 2>+4>

-85>U,2-.> -0 B-0>5 D:34> ./0 -*4,B> 2?3 3: *>34> <,+-+*,/5>F M>5 0> 4-+4>9 /0 -55/+.-2,/+4>

<,+-+*,/5> .- 0:=-5 - 8-54,.-3 A:/ 3-4,3<-*/+ 0- ./<,+,*,6+ ./ :+ -*4,B> ; :+ 8-3,B> ; 3/

5/*>+>*/5?+ *>2> 4-0/3 /+ /0 C-0-+*/ =/+/5-0 ./0 -55/+.-4-5,>F

%!F R>3 C-0-+*/3 =/+/5-0/3 85/8-5-.>3 ./ -*:/5.> *>+ +>52-3 ./ *>+4-C,0,.-. -*4:-02/+4/

 B,=/+4/3 8:/./+ ,+*0:,5 8-54,.-3 A:/ +> *:280/+ *>+ 0-3 ./<,+,*,>+/3 ./ :+ -*4,B>

> :+ 8-3,B> ; +> <>52-+ 8-54/ ./0 8-45,2>+,>F R-3 ./<,+,*,>+/3 /34-C0/*,.-3 /+ /0 8?55-<>

$H 3/5?+ 0- C-3/ 8-5- 0- 5/B,3,6+ <:4:5- ./ 0-3 85/3/+4/3 +>52-3 ./ *>+4-C,0,.-.9 -3Q *>2>

./ 0- <>52:0-*,6+ ./ >45-3 +>52-3 8>34/5,>5/3F

AR 6G*+0E) 

%#F R>3 C/+/<,*,>3 /*>+62,*>3 <:4:5>3 ,+*>58>5-.>3 - :+ -*4,B> *>+3,34/+ /+ /0 8>4/+*,-0

./0 2,32> 8-5- *>+45,C:,5 .,5/*4- > ,+.,5/*4-2/+4/ - 0>3 <0:D>3 ./ /</*4,B> ; ./ >45>3

/A:,B-0/+4/3 ./ /</*4,B> ./ 0- /285/3-F 734/ 8>4/+*,-0 8:/./ 3/5 ./ 4,8> 85>.:*4,B>9

*>+34,4:;/+.> 8-54/ ./ 0-3 -*4,B,.-./3 ./ >8/5-*,6+ ./ 0- /285/3-F M:/./ 4-2C,)+ 4>2-5 0-

<>52- ./ *>+B/54,C,0,.-. /+ /</*4,B> : >45-3 8-54,.-3 /A:,B-0/+4/3 ./ /</*4,B>9 > C,/+ ./

*-8-*,.-. 8-5- 5/.:*,5 8-=>3 /+ /0 <:4:5>9 4-0 *>2> *:-+.> :+ 85>*/3> -04/5+-4,B> ./

Page 154: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 154/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G%$

2-+:<-*4:5- 5/.:*/ 0>3 *>34>3 ./ 85>.:**,6+F

%$F \3:-02/+4/9 :+- /285/3- /280/- 3:3 -*4,B>3 8-5- 85>.:*,5 C,/+/3 > 3/5B,*,>3 *-8-*/3 ./

3-4,3<-*/5 ./3/>3 > +/*/3,.-./3 ./ 0>3 *0,/+4/3F M:/34> A:/ /34>3 C,/+/3 > 3/5B,*,>3

3-4,3<-*/+ 4-0/3 ./3/>3 > +/*/3,.-./39 0>3 *0,/+4/3 /34?+ .,38:/34>3 - 8-=-5 8>5 /00>3 ;9

8>5 0> 4-+4>9 - *>+45,C:,5 - 0>3 <0:D>3 ./ /</*4,B> ./ 0- /285/3-F 70 /</*4,B>9 8>5 3Q 2,32>9

5,+./ :+ 3/5B,*,> - 0- /285/3- 8>5 0- 8>3,C,0,.-. ./ >C4/+/59 2/.,-+4/ 3: :4,0,O-*,6+9 >45>3

5/*:53>3F

%%F R>3 C/+/<,*,>3 /*>+62,*>3 <:4:5>3 ,+*>58>5-.>3 - :+ -*4,B> 8:/./+ 00/=-5 - 0- /285/3- 8>5

.,</5/+4/3 BQ-3F M>5 /D/280>9 :+ -*4,B> 8:/./ 3/5a

-[ :4,0,O-.> -,30-.-2/+4/9 > /+ *>2C,+-*,6+ *>+ >45>3 -*4,B>39 /+ 0- 85>.:**,6+ ./ C,/+/3 ;

3/5B,*,>3 - B/+./5 8>5 0- /285/3-9

C[ ,+4/5*-2C,-.> 8>5 >45>3 -*4,B>39*[ :4,0,O-.> 8-5- 8-=-5 :+ 8-3,B>9 >

.[ .,345,C:,.> - 0>3 85>8,/4-5,>3 ./ 0- /285/3-F

%&F _:*@>3 -*4,B>39 *>2> 0-3 85>8,/.-./39 80-+4- ; /A:,8>9 3>+ /0/2/+4>3 4-+=,C0/3F

W,+ /2C-5=> 0- 4-+=,C,0,.-. +> /3 /3/+*,-0 8-5- 0- /U,34/+*,- ./ :+ -*4,B>X -3Q 0-3 8-4/+4/3 ; 0>3

./5/*@>3 ./ -:4>59 8>5 /D/280>9 4,/+/+ 0- *:-0,.-. ./ -*4,B>3 3, 3/ /38/5- A:/ 85>.:O*-+

C/+/<,*,>3 /*>+62,*>3 <:4:5>3 8-5- 0- /285/3- ; 3>+9 -./2?39 *>+45>0-.>3 8>5 /00-F

%IF _:*@>3 -*4,B>39 *>2> 0-3 *:/+4-3 8>5 *>C5-5 ; 0-3 85>8,/.-./39 /34?+ -3>*,-.>3 *>+

./5/*@>3 0/=-0/39 ,+*0:,.> /0 ./5/*@> ./ 85>8,/.-.F 10 ./4/52,+-5 0- /U,34/+*,- > +> ./

:+ -*4,B>9 /0 ./5/*@> ./ 85>8,/.-. +> /3 /3/+*,-09 -3Q9 8>5 /D/280>9 0-3 85>8,/.-./3 A:/

3/ .,3<5:4-+ /+ 5)=,2/+ ./ -55/+.-2,/+4> <,+-+*,/5> 3>+ -*4,B>3 3, 0- /285/3- *>+45>0-

0>3 C/+/<,*,>3 /*>+62,*>3 A:/ 3/ /38/5- >C4/+/5 ./ /00>3F 1:+A:/ 0- *-8-*,.-. ./ :+-

/285/3- 8-5- *>+45>0-5 /34>3 C/+/<,*,>3 3/-9 +>52-02/+4/9 /0 5/3:04-.> ./ ./4/52,+-.>3

./5/*@>3 0/=-0/39 :+- 8-54,.- ./4/52,+-.- 8>.5Q- ,+*0:3> *:280,5 0- ./<,+,*,6+ ./ :+

-*4,B> -b+ *:-+.> +> 3/ 4/+=- *>+45>0 0/=-0 3>C5/ /00-F M>5 /D/280>9 0>3

*>+>*,2,/+4>3 4/*+>06=,*>39 85>.:*4> ./ -*4,B,.-./3 ./ ./3-55>00> 00/B-.-3 - *-C> 8>5 0-/285/3-9 8:/./+ *:280,5 0- ./<,+,*,6+ ./ -*4,B> *:-+.> 3/ =:-5./+ /+ 3/*5/4> ; 0- /285/3-

*>+45>0- 0>3 C/+/<,*,>3 /*>+62,*>3 A:/ 3/ /38/5-+ ./ /00>3F

%cF R>3 -*4,B>3 ./ :+- /285/3- 85>*/./+ ./ 45-+3-**,>+/3 > ./ >45>3 @/*@>3 >*:55,.>3 /+

/0 8-3-.>F R-3 /285/3-3 >C4,/+/+ 0>3 -*4,B>3 2/.,-+4/ 3: *>285- > 85>.:**,6+9 8/5>

4-2C,)+ 8:/./+ =/+/5-53/ -*4,B>3 2/.,-+4/ >45> 4,8> ./ 45-+3-**,>+/3F W>+ /D/280>3 ./

Page 155: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 155/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G%%

/00> 0-3 85>8,/.-./3 /+45/=-.-3 8>5 /0 L>C,/5+> - :+- /285/3-9 ./+45> ./ :+ 85>=5-2- ./

<>2/+4> ./ ./3-55>00> /*>+62,*> ./ :+ ?5/- =/>=5?<,*- ; /0 ./3*:C5,2,/+4> ./ 5/3/5B-3

2,+/5-3F R-3 45-+3-**,>+/3 > @/*@>3 A:/ 3/ /38/5- >*:55-+ /+ /0 <:4:5>9 +> .-+ 0:=-5 8>5 3Q

2,32>3 - -*4,B>3X -3Q9 8>5 /D/280>9 0- ,+4/+*,6+ ./ *>285-5 /U,34/+*,-3 +> *:280/9 8>5 3Q

2,32-9 0- ./<,+,*,6+ ./ :+ -*4,B>F

%HF 7U,34/ :+- -3>*,-*,6+ 2:; /345/*@- /+45/ 0- 5/-0,O-*,6+ ./ :+ ./4/52,+-.> ./3/2C>03> ;

0- =/+/5-*,6+ ./ :+ -*4,B>9 -:+A:/ :+> ; >45> +> 4,/+/+ 8>5 A:) *>,+*,.,5 +/*/3-5,-2/+4/F

M>5 0> 4-+4>9 3, 0- /285/3- 5/-0,O- :+ ./3/2C>03>9 /34/ @/*@> 8:/./ 3:2,+,345-5 /B,./+*,-

./ A:/ 8:/./+ >C4/+/53/ C/+/<,*,>3 /*>+62,*>39 8/5> +> /3 :+- 85:/C- *>+*0:;/+4/ ./

A:/ 3/ /34) -+4/ :+- 8-54,.- A:/ 3-4,3<-=- 0- ./<,+,*,6+ ./ :+ -*4,B>F `/ ,=:-0 2-+/5-9 0-

-:3/+*,- ./ :+ ./3/2C>03> 5/0-*,>+-.> +> ,28,./ A:/ 3/ /34) -+4/ :+- 8-54,.- A:/ 3-4,3<-=-

0- ./<,+,*,6+ ./ :+ -*4,B> ; A:/ 5/A:,/5-9 8>5 0> 4-+4>9 5/*>+>*,2,/+4> *>2> 4-0 /+ /0 C-0-+*/

=/+/5-0F M>5 /D/280>9 0-3 8-54,.-3 A:/ @-+ 3,.> .>+-.-3 - 0- /285/3- 8:/./+ 3-4,3<-*/5 0-

./<,+,*,6+ ./ :+ -*4,B>F

DR .1)+0E) 

&PF \+- *-5-*4/5Q34,*- /3/+*,-0 ./ 4>.> 8-3,B> /3 A:/ 0- /285/3- 4,/+/ *>+45-Q.- :+- >C0,=-*,6+

/+ /0 2>2/+4> 85/3/+4/F \+ 8-3,B> /3 :+ *>285>2,3> > 5/38>+3-C,0,.-. ./

-*4:-5 ./ :+- ./4/52,+-.- 2-+/5-F R-3 >C0,=-*,>+/3 8:/./+ 3/5 /U,=,C0/3 0/=-02/+4/9 *>2>

*>+3/*:/+*,- ./ 0- /D/*:*,6+ ./ :+ *>+45-4> > ./ :+- >C0,=-*,6+ ./ 4,8> 0/=-09 8>5 /D/280>9

*:/+4-3 8>5 8-=-5 8>5 C,/+/3 > 3/5B,*,>3 5/*,C,.>3F N> >C34-+4/9 0-3 >C0,=-*,>+/3 4-2C,)+3/ >5,=,+-+ 8>5 0- -*4,B,.-. +>52-0 ./ 0- /285/3-9 8>5 0-3 *>34:2C5/3 *>2/5*,-0/3 ; 8>5 /0

./3/> ./ 2-+4/+/5 C:/+-3 5/0-*,>+/3 *>2/5*,-0/3 > ./ -*4:-5 ./ <>52- /A:,4-4,B-F W,9 8>5

/D/280>9 :+- /285/3- ./*,./9 *>2> 8>0Q4,*- *>2/5*,-09 5//2C>03-5 - *0,/+4/3 8>5 ./<,*,/+*,-3

/+ 0>3 85>.:*4>3 ,+*0:3> *:-+.> 3:5D-+ ./38:)3 ./0 8/5Q>.> +>52-0 ./ =-5-+4Q-9 0>3 2>+4>3

A:/ 3/ /38/5/ ./3/2C>03-5 5/38/*4> ./ 0>3 C,/+/3 ;- B/+.,.>3 5/85/3/+4-+ 4-2C,)+ 8-3,B>3

8-5- 0- /285/3-F

&GF 73 +/*/3-5,> .,34,+=:,5 /+45/ :+- >C0,=-*,6+ 85/3/+4/ ; :+ *>285>2,3> - <:4:5>F

R- ./*,3,6+ ./ -.A:,5,5 -*4,B>3 /+ /0 <:4:5> +> .- 0:=-59 8>5 3Q 2,32-9 -0 +-*,2,/+4>

./ :+ 8-3,B>F N>52-02/+4/9 /0 8-3,B> 3:5=/ 3>0> *:-+.> 3/ @- 5/*,C,.> /0 -*4,B> >

*:-+.> 0- /285/3- /+45- /+ :+ -*:/5.> ,55/B>*-C0/ 8-5- -.A:,5,5 :+ C,/+ > 3/5B,*,>F

J-C,4:-02/+4/9 0- +-4:5-0/O- ,55/B>*-C0/ ./0 -*:/5.> /34? .-.- 8>5A:/ 0-3 *>+3/*:/+*,-3

/*>+62,*-3 ./0 ,+*:280,2,/+4> ./ 0- >C0,=-*,6+ ,280,*-+ :+- 3-+*,6+ ,28>54-+4/9 0> A:/

Page 156: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 156/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G%&

./D- - 0- /285/3- *>+ 8>*- > +,+=:+- .,3*5/*,>+-0,.-. 8-5- /B,4-5 0- 3-0,.- ./ 5/*:53>3 @-*,- 0-

*>+45-8-54/F

&!F \3:-02/+4/9 /0 8-=> ./ :+- >C0,=-*,6+ 85/3/+4/ ,280,*- A:/ 0- /285/3- /+45/=- 5/*:53>3 A:/

00/B-+ ,+*>58>5-.>3 C/+/<,*,>3 /*>+62,*>3 8-5- .-5 *:280,2,/+4> - 0>3 ./5/*@>3 - *>C5-5

8>5 0- >45- 8-54/F 70 8-=> ./ :+ 8-3,B> 85/3/+4/ 8:/./ 00/B-53/ - *-C> ./ B-5,-3 2-+/5-39

8>5 /D/280> - 45-B)3 ./a

-[ 8-=> ./ .,+/5>X

C[ 45-+3</5/+*,- ./ >45>3 -*4,B>3X

*[ 85/34-*,6+ ./ 3/5B,*,>3X

.[ 3:34,4:*,6+ ./ /3/ 8-3,B> 8>5 >45- >C0,=-*,6+X

/[ *>+B/53,6+ ./0 8-3,B> /+ M-45,2>+,>F

\+ 8-3,B> 8:/./ 4-2C,)+ 3/5 /U4,+=:,.> 8>5 >45>3 2/.,>39 4-0/3 *>2> 0- 5/+:+*,- >

0- 8)5.,.- ./ 0>3 ./5/*@>3 - *>C5-5 8>5 8-54/ ./0 -*5//.>5F

&#F R>3 8-3,B>3 85>*/./+ ./ 45-+3-**,>+/3 > ./ >45>3 @/*@>3 >*:55,.>3 /+ /0 8-3-.>F

 13Q9 8>5 /D/280>9 0- -.A:,3,*,6+ ./ C,/+/3 ; /0 :3> ./ 3/5B,*,>3 .-+ 0:=-5 - 0-3 *:/+4-3 8>5

8-=-5 ]- 2/+>3 A:/ /0 8-=> 3/ @-;- -+4,*,8-.> > @/*@> -0 *>+4-.>[9 ; 0- 5/*/8*,6+ ./ :+

85)34-2> C-+*-5,> .- 0:=-5 - 0- >C0,=-*,6+ ./ 5//2C>03-5 /0 2>+4> 85/34-.>F R- /285/3-

8:/./ 4-2C,)+ 5/*>+>*/5 *>2> 8-3,B>3 0-3 5/C-D-3 ; ./3*:/+4>3 <:4:5>39 /+ <:+*,6+ ./ 0-3

*>285-3 A:/ 0/ @-=-+ 0>3 *0,/+4/39 /+ *:;> *-3> /3 0- B/+4- ./ C,/+/3 /+ /0 8-3-.> 0-

45-+3-**,6+ A:/ .- 0:=-5 -0 +-*,2,/+4> ./ 0- >C0,=-*,6+F&$F 7U,34/+ 8-3,B>3 A:/ 3>0> 3/ 8:/./+ 2/.,5 2/.,-+4/ /0 :3> ./ =5-.>3 3:34-+*,-0/3 ./

/34,2-*,6+X /34>3 8-3,B>3 3/ ./+>2,+-+ 85>B,3,>+/3 ; 3, 3/ 5/<,/5/+ - :+- >C0,=-*,6+

85/3/+4/ ; 3-4,3<-*/+ /0 5/34> ./ 0- ./<,+,*,6+ ./ 8-3,B>9 3/ 5/*>+>*/+ *>2> 4-09 -:+ *:-+.>

3: 2>+4> ./C- 3/5 /34,2-.>F 7D/280>3 ./ /34-3 3,4:-*,>+/3 3>+ 0-3 85>B,3,>+/3 8-5- 8-=>3 -

5/-0,O-5 8>5 0-3 =-5-+4Q-3 ><5/*,.-3 3>C5/ 0>3 85>.:*4>3 B/+.,.>39 ; 0-3 85>B,3,>+/3 8-5-

*:C5,5 >C0,=-*,>+/3 8>5 ,+./2+,O-*,>+/3 8>5 -V>3 ./ 3/5B,*,> -0 8/53>+-0F

KR .1*/+JE-+E 

&%F 1:+A:/ /0 M-45,2>+,> @- A:/.-.> ./<,+,.> /+ /0 8?55-<> $H *>2> :+ 2>+4> 5/3,.:-09

8:/./ 3:CE*0-3,<,*-53/ 8-5- 0>3 /</*4>3 ./ 3: 85/3/+4-*,6+ /+ /0 C-0-+*/ =/+/5-0F M>5 /D/280>9

/+ :+- 3>*,/.-. -+6+,2- ./C/+ 2>345-53/ 8>5 3/8-5-.> 0>3 <>+.>3 -8>54-.>3 8>5 0>3

-**,>+,34-39 0-3 :4,0,.-./3 5/4/+,.-3 ; 0-3 5/3/5B-3 *>+34,4:,.-3 *>+ /34-3 ; >45-3 5/3/5B-3

*>2> 0- 5/3/5B- ./ 2-+4/+,2,/+4> ./0 M-45,2>+,>F (-0/3 *0-3,<,*-*,>+/3 8:/./+ 3/5

Page 157: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 157/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G%I

5/0/B-+4/3 8-5- 0-3 +/*/3,.-./3 ./ 4>2- ./ ./*,3,>+/3 8>5 8-54/ ./ 0>3 :3:-5,>3 ./ 0>3

/34-.>3 <,+-+*,/5>39 /+ /38/*,-0 *:-+.> ,+.,*-+ 5/345,**,>+/39 3/-+ 0/=-0/3 > ./ >45> 4,8>9 - 0-

*-8-*,.-. ./ 0- /285/3- 8-5- .,345,C:,5 > .,38>+/5 /+ <>52- .,</5/+4/ ./ 3: M-45,2>+,>F

 (-2C,)+ 8:/./ 3/5B,5 8-5- 5/B/0-5 A:/ 0-3 8-54/3 *>+ ,+4/5/3/3 /+ 0- 85>8,/.-. ./ 0- /285/3-

4,/+/+ .,</5/+4/3 ./5/*@>3 /+ 5/0-*,6+ *>+ /0 *>C5> ./ .,B,./+.>3 > /+ /0 5//2C>03> ./0

M-45,2>+,>F

&&F 7+ >*-3,>+/39 0- *5/-*,6+ ./ 5/3/5B-3 B,/+/ ,28:/34- 8>5 0/;/3 > 5/=0-2/+4>39 *>+ /0 <,+ ./

.-5 - 0- /285/3- ; - 3:3 -*5//.>5/3 :+- 85>4/**,6+ -.,*,>+-0 *>+45- 0>3 /</*4>3 ./ 0-3

8)5.,.-3F e45>3 4,8>3 ./ 5/3/5B-3 8:/./+ @-C/5 3,.> *5/-.>3 8>5A:/ 0-3 0/;/3 ./0 8-Q3

*>+*/./+ /U/+*,>+/3 > 5/.:**,>+/3 45,C:4-5,-3 *:-+.> 3/ *>+4-C,0,O-+ /34-3 5/3/5B-3F R-

/U,34/+*,- ; /0 2>+4> ./ 0-3 5/3/5B-3 ./ 4,8> 0/=-09 5/=0-2/+4-5,- ; 45,C:4-5,-9 /3 :+-

,+<>52-*,6+ A:/ 8:/./ 3/5 5/0/B-+4/ 8-5- 0-3 +/*/3,.-./3 ./ 4>2- ./ ./*,3,>+/3 8>5 8-54/ ./

0>3 :3:-5,>3F R- *5/-*,6+ ./ /34-3 5/3/5B-3 3>0> 5/85/3/+4- 0- .,345,C:*,6+ ./ :4,0,.-./3

5/4/+,.-39 8>5 0> A:/9 +> 3/ *5/-+ *>+ *-5=> - 0>3 5/3:04-.>3 ./ 0- /285/3-F

&IF 70 2>+4> 8>5 /0 *:-0 3/ 2:/345- /0 M-45,2>+,> /+ /0 C-0-+*/ =/+/5-0 ./8/+./ ./ 0-

 B-0>5,O-*,6+ -3,=+-.- - 0>3 -*4,B>3 ; 8-3,B>3F N>52-02/+4/9 /0 2>+4> -*:2:0-.> /+

/0 M-45,2>+,> +> *>,+*,./ *>+ /0 B-0>5 C:53?4,0 ./ 0-3 -**,>+/3 ./ 0- /285/3-9 +, 4-28>*>

*>+ /0 2>+4> ./ .,+/5> A:/ 3/ >C4/+.5Q- B/+.,/+.> :+> 8>5 :+> 0>3 -*4,B>3 +/4>3 ./ 0-

/285/3-9 +, *>+ /0 85/*,> ./ B/+4- ./ 4>.> /0 +/=>*,> *>2> :+- /285/3- /+ 2-5*@-F

&cF 1 2/+:.>9 0-3 -*4,B,.-./3 *>2/5*,-0/39 ,+.:345,-0/3 > ./ +/=>*,>39 3>+ 00/B-.-3 - *-C> 8>5/285/3-3 :+,8/53>+-0/39 3>*,/.-./3 ./ 8/53>+-39 -3>*,-*,>+/3 ; :+- B-5,-.- =-2- ./

/285/3-3 ./ 85>8,/.-. ./0 L>C,/5+>F 70 2-5*> 0/=-0 ; ./ 5/=:0-*,6+ ./ /00-3 /3 .,</5/+4/

./0 A:/ 3/ -80,*- - 0-3 3>*,/.-./3 -+6+,2-3F M>5 /D/280>9 8:/./ @-C/5 /+ /34-3 /285/3-3

8>*-3 > +,+=:+- 5/345,**,6+ 8-5- .,345,C:,5 - 0>3 85>8,/4-5,>3 : >45>3 C/+/<,*,-5,>3 0>3

3-0.>3 ,+*0:,.>3 /+ 0-3 *:/+4-3 ./0 M-45,2>+,>F N> >C34-+4/9 4-+4> 0- ./<,+,*,6+ ./

M-45,2>+,> *>2> 0>3 ./2?3 -38/*4>3 ./ /34/ _-5*> K>+*/84:-09 *>+*/5+,/+4/3 -0

2,32>9 3>+ -80,*-C0/3 - 4-0/3 /+4,.-./3F

QR =()'O*1HE) 

&HF R- :4,0,.-. +/4- /3 - 2/+:.> :3-.- *>2> :+- 2/.,.- ./0 ./3/28/V> /+ 0- -*4,B,.-. ./

0- /285/3-9 > C,/+ /0 5/4>5+> 3>C5/ 0- ,+B/53,6+ > 0- :4,0,.-. 8>5 -**,6+F R>3 /0/2/+4>3

5/0-*,>+-.>3 .,5/*4-2/+4/ *>+ 0- 2/.,*,6+ ./ 0- :4,0,.-. +/4- 3>+ 0>3 ,+=5/3>3 ; 0>3 =-34>3F

70 5/*>+>*,2,/+4> ; 0- 2/.,*,6+ ./ ,+=5/3>3 ; =-34>39 ; *>2> *>+3/*:/+*,-9 ./ 0- :4,0,.-.

Page 158: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 158/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G%c

+/4-9 ./8/+./+ /+ 8-54/ ./ 0>3 *>+*/84>3 ./ M-45,2>+,> ; 2-+4/+,2,/+4> ./0

M-45,2>+,> :4,0,O-.> 8>5 0- /285/3- /+ 0- 85/8-5-*,6+ ./ 3:3 /34-.>3 <,+-+*,/5>3F 734>3

*>+*/84>3 3/ 45-4-+ /+ 0>3 8?55-<>3 GP! - GGPF

IPF 1 *>+4,+:-*,6+ 3/ ./<,+/+ 0>3 /0/2/+4>3 ./+>2,+-.>3 ,+=5/3>3 ; =-34>3a

-[ Z+=5/3>3 3>+ 0>3 ,+*5/2/+4>3 /+ 0>3 C/+/<,*,>3 /*>+62,*>3 85>.:*,.>3 - 0> 0-5=> ./0

8/5Q>.> *>+4-C0/9 /+ <>52- ./ /+45-.-3 > ,+*5/2/+4>3 ./ B-0>5 ./ 0>3 -*4,B>39 > C,/+9

*>2> .,32,+:*,>+/3 ./ 0-3 >C0,=-*,>+/3 A:/ .-+ *>2> 5/3:04-.> -:2/+4>3 ./0

M-45,2>+,> ; A:/ +> /34?+ 5/0-*,>+-.>3 *>+ 0>3 -8>54/3 ./ *-8,4-0 /</*4:-.>3 8>5 0>3

85>8,/4-5,>3F

C[ L-34>3 3>+ 0-3 .,32,+:*,>+/3 /+ 0>3 C/+/<,*,>3 /*>+62,*>3 85>.:*,.>3 - 0> 0-5=> ./0

8/5Q>.> *>+4-C0/9 /+ <>52- ./ /=5/3>3 > .,32,+:*,>+/3 ./0 B-0>5 ./ 0>3 -*4,B>39 > C,/+9

*>2> 3:5=,2,/+4> ./ >C0,=-*,>+/3 A:/ .-+ *>2> 5/3:04-.> .,32,+:*,>+/3 /+ /0

M-45,2>+,> ; A:/ +> /34?+ 5/0-*,>+-.>3 *>+ 0-3 .,345,C:*,>+/3 ./ M-45,2>+,>

/</*4:-.-3 - 0>3 85>8,/4-5,>3F

IGF R-3 ./<,+,*,>+/3 ./ ,+=5/3>3 ; =-34>3 ,./+4,<,*-+ 3:3 *-5-*4/5Q34,*-3 /3/+*,-0/39 8/5> +>

85/4/+./+ /38/*,<,*-5 0-3 *>+.,*,>+/3 - *:280,5 8-5- A:/ 4-0/3 /0/2/+4>3 3/ 5/*>+>O*-+ /+ /0

/34-.> ./ 5/3:04-.>3F R-3 *>+.,*,>+/3 8-5- /0 5/*>+>*,2,/+4> ./ ,+=5/3>3 ; =-34>3 3>+ 45-4-.-3

/+ 0>3 8?55-<>3 c! - HcF

I!F R>3 ,+=5/3>3 ; =-34>3 8:/./+ 85/3/+4-53/ ./ .,</5/+4/3 <>52-3 /+ /0 /34-.> ./ 5/3:04-.>39

*>+ /0 >CD/4> ./ 3:2,+,345-5 ,+<>52-*,6+ 5/0/B-+4/ 8-5- 0- 4>2- ./ ./*,3,>+/3 /*>+62,*-3FM>5 /D/280>9 /3 :+- 85?*4,*- *>2b+ .,34,+=:,5 /+45/ -A:/00-3 8-54,.-3 ./ ,+=5/3>3 ;

=-34>3 A:/ 3:5=/+ /+ /0 *:53> ./ 0-3 -*4,B,.-./3 >5.,+-5,-3 ./ 0- /285/3- ; -A:/00-3 >45-3 A:/

+>F 734- .,34,+*,6+ 3/ @-*/ 3>C5/ 0- C-3/ ./ A:/ /0 >5,=/+ ./ :+- 8-54,.- /3 5/0/B-+4/ -0

/B-0:-5 0- *-8-*,.-. ./ 0- /285/3- 8-5- =/+/5-5 /</*4,B> ; >45-3 8-54,.-3 /A:,B-0/+4/3 ./

/</*4,B> /+ /0 <:4:5>F M>5 /D/280>9 0-3 -*4,B,.-./3 /38>5?.,*-39 *>2> 0- B/+4- ./ :+-

,+B/53,6+ - 0-5=> 80-O>9 /3 ,285>C-C0/ A:/ 3/ 85>.:O*-+ ./ <>52- 5/*:55/+4/F 10 85>*/./5 -

.,34,+=:,5 0-3 8-54,.-3 ./ /34- 2-+/5-9 /3 +/*/3-5,> 4/+/5 /+ *:/+4- 0- +-4:5-0/O- ./ 0- /285/3-

; ./ 3:3 >8/5-*,>+/3F R-3 8-54,.-3 A:/ 3:5=/+ ./ 0- -*4,B,.-. >5.,+-5,- /+ :+-

./4/52,+-.- /285/3- 8:/./+ 3/5 ,+:3:-0/3 *>+ 5/38/*4> - >45- /285/3-F

I#F Z./+4,<,*-5 0-3 8-54,.-3 ./ ,+=5/3>3 ; =-34>3 ; *>2C,+-50-3 ./ .,</5/+4/3 <>52-39 4-2C,)+

8/52,4/ A:/ 3/ 85/3/+4/+ .,B/53-3 2/.,.-3 ./0 5/3:04-.>F 734-3 2/.,*,>+/3 3/

.,</5/+*,-+ /+ *:-+4> - 0-3 8-54,.-3 A:/ ,+*0:;/+F M>5 /D/280>9 /0 /34-.> ./ 5/3:04-.>3

Page 159: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 159/312

Page 160: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 160/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G&P

=-34>F M>5 0> 4-+4>9 /+ /34/ _-5*> K>+*/84:-0 +> 3/ *>+3,./5- A:/ *>+34,4:;-+ :+ /0/2/+4>

.,</5/+4/F

cPF 7+45/ 0-3 8)5.,.-3 3/ /+*:/+45-+ 0-3 A:/ 5/3:04-+ ./ 3,+,/345>3 4-0/3 *>2> -A:/00>3

*-:3-.>3 8>5 /0 <:/=> > 8>5 ,+:+.-*,>+/39 -3Q *>2> 8>5 0- B/+4- ./ -*4,B>3 - 0-5=> 80-O> ;

4-2C,)+ 0-3 8)5.,.-3 +> 5/-0,O-.-39 8>5 /D/280> -A:/00-3 A:/ 3:5=/+ 8>5 /0 /</*4> A:/ 0>3

-:2/+4>3 /+ /0 4,8> ./ *-2C,> ./ :+- ./4/52,+-.- .,B,3- 4,/+/+ 3>C5/ 0>3 85)34-2>3

>C4/+,.>3 8>5 0- /285/3- /+ /3- 2>+/.-F 10 5/*>+>*/53/ 0-3 8)5.,.-3 /+ /0 /34-.> ./

5/3:04-.>39 /3 :3:-0 85/3/+4-50-3 8>5 3/8-5-.>9 8:/34> A:/ /0 *>+>*,2,/+4> ./ 0-3 2,32-3 /3

b4,0 8-5- 0>3 85>863,4>3 ./ 4>2- ./ ./*,3,>+/3 /*>+62,*-3F R-3 8)5.,.-3 3:/0/+

85/3/+4-53/ +/4-3 ./ 0>3 ,+=5/3>3 5/0-*,>+-.>3 *>+ /00-3F

[R 6P')*() TE/ J1-*(-+J+(-*E H(O .1*/+JE-+E 

cGF R- 5/B-0:-*,6+ > 5//U85/3,6+ ./0 B-0>5 ./ 0>3 -*4,B>3 ; 8-3,B>3 .- 0:=-5 - -:2/+4>3 >.,32,+:*,>+/3 /+ /0 M-45,2>+,>F 1:+ *:-+.> /34>3 ,+*5/2/+4>3 ; .,32,+:*,>+/3 *:280/+

*>+ 0-3 *>+.,*,>+/3 8-5- ./<,+,5 ,+=5/3>3 ; =-34>39 /34>3 +> 3>+ ,+*0:,.>3 /+ /0 /34-.> ./

5/3:04-.>39 -0 :4,0,O-5 *,/54>3 *>+*/84>3 ./ 2-+4/+,2,/+4> ./0 M-45,2>+,>F 734>3

*>+*/84>3 ./ 2-+4/+,2,/+4> ./0 M-45,2>+,> 3/ *>2/+4-+ /+ 0>3 8?55-<>3 GP! - GGP ./

/34/ _-5*> K>+*/84:-0F

cR =&%4#4%"<"&#54 $& 84: &8&<&#54: $& 84: &:56$4: L"#6#%"&=4: 

c!F W/ ./+>2,+- 5/*>+>*,2,/+4> -0 85>*/3> ./ ,+*>58>5-*,6+9 /+ /0 C-0-+*/ =/+/5-0 > /+ /0

/34-.> ./ 5/3:04-.>39 ./ :+- 8-54,.- A:/ *:280- 0- ./<,+,*,6+ ./0 /0/2/+4>

*>55/38>+.,/+4/9 3-4,3<-*,/+.> -./2?3 0>3 *5,4/5,>3 8-5- 3: 5/*>+>*,2,/+4> /34-C0/*,.>3 /+ /0

8?55-<> c#F 700> ,280,*- 0- ./3*5,8*,6+ ./ 0- 8-54,.- *>+ 8-0-C5-3 ; 8>5 :+ 2>+4>

2>+/4-5,>9 -3Q *>2> 0- ,+*0:3,6+ ./ 0- 8-54,.- /+ *:/34,6+ /+ 0>3 4>4-0/3 ./0 C-0-+*/ =/+/5-0

> ./0 /34-.> ./ 5/3:04-.>3F R>3 Q4/23 A:/ *:280-+ *>+ /0 *5,4/5,> 8-5- 3: 5/*>+>*,2,/+4>9

./C,/5-+ 3/5 5/*>+>*,.>3 /+ /0 C-0-+*/ =/+/5-0 > /+ /0 /34-.> ./ 5/3:04-.>3F R- <-04- ./

5/*>+>*,2,/+4> ./ /34-3 8-54,.-3 +> 3/ 8:/./ 5//280-O-5 2/.,-+4/ 0- ./3*5,8*,6+ ./ 0-3

8>0Q4,*-3 *>+4-C0/3 3/=:,.-39 +, 4-28>*> - 45-B)3 ./ +>4-3 : >45> 2-4/5,-0 /U80,*-4,B>F

c#F `/C/ 3/5 >CD/4> ./ 5/*>+>*,2,/+4> 4>.- 8-54,.- A:/ *:280- 0- ./<,+,*,6+ ./ :+ /0/2/+4>9

3,/285/ A:/a

-[ W/- 85>C-C0/ A:/ *:-0A:,/5 C/+/<,*,> /*>+62,*> -3>*,-.> *>+ 0- 8-54,.- 00/=:/ - >

3-0=- ./ 0- /285/3-9 ;

C[ R- 8-54,.- 4,/+/ :+ *>34> > B-0>5 A:/ 8:/.- 3/5 2/.,.> *>+ <,-C,0,.-.F

Page 161: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 161/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G&G

c$F 10 /B-0:-5 3, :+- 8-54,.- *:280/ *>+ /34>3 *5,4/5,>3 ; A:/9 8>5 /00>9 /34? *-0,<,*-.-

8-5- 3: 5/*>+>*,2,/+4> /+ 0>3 /34-.>3 <,+-+*,/5>39 /3 +/*/3-5,> 4/+/5 /+ *:/+4- 0-3

*>+3,./5-*,>+/3 ./ ,28>54-+*,- 5/0-4,B- 45-4-.-3 /+ 0>3 8?55-<>3 !H ; #PF R- ,+4/55/0-*,6+

/+45/ 0>3 /0/2/+4>3 3,=+,<,*- A:/ 4>.- 8-54,.- A:/ *:280- 0-3 *>+.,*,>+/3 ./ ./<,+,*,6+ ;

5/*>+>*,2,/+4> 8-5- 3/5 :+ ./4/52,+-.> /0/2/+4>9 8>5 /D/280>9 :+ -*4,B>9 /U,=/

-:4>2?4,*-2/+4/ /0 5/*>+>*,2,/+4> ./ >45> /0/2/+4> 5/0-*,>+-.> *>+ /00-9 *>2> :+ ,+=5/3>

> :+ 8-3,B>F

3R 81 T/EX1X+O+H1H H( EX*(-(/ X(-(I+G+E) (GE-,J+GE) I'*'/E) 

c%F 70 *>+*/84> ./ 85>C-C,0,.-. 3/ :4,0,O-9 /+ 0-3 *>+3,./5-*,>+/3 8-5- 3:

5/*>+>*,2,/+4>9 *>+ 5/</5/+*,- -0 =5-.> ./ ,+*/54,.:2C5/ *>+ A:/ 0>3 C/+/<,*,>3 /*>+62,*>3

<:4:5>3 -3>*,-.>3 -0 2,32> 00/=-5?+ > 3-0.5?+ ./ 0- /285/3-F 70 *>+*/84> *>+*:/5.- *>+

0- ,+*/54,.:2C5/ A:/ *-5-*4/5,O- -0 /+4>5+> /+ A:/ >8/5- 0- /285/3-F R- 2/.,*,6+ ./0 =5-.>./ ,+*/54,.:2C5/9 *>55/38>+.,/+4/ -0 <0:D> ./ 0>3 C/+/<,*,>3 /*>+62,*>3 <:4:5>39 3/ @-*/ -

8-54,5 ./ 0- /B,./+*,- .,38>+,C0/ *:-+.> 3/ 85/8-5-+ 0>3 /34-.>3 <,+-+*,/5>3F M>5 /D/280>9

*:-+.> /3 85>C-C0/ A:/ :+- 8-54,.- 8>5 *>C5-5 - >45- /285/3- B-;- - 3/5 8-=-.- 8>5 )34-9 /3

D:34,<,*-C0/9 /+ -:3/+*,- ./ *:-0A:,/5 /B,./+*,- /+ *>+45-5,>9 5/*>+>*/5 4-0 8-54,.- 8>5 *>C5-5

*>2> :+ -*4,B>F N> >C34-+4/9 8-5- C:/+- 8-54/ ./ 0-3 *:/+4-3 8>5 *>C5-59 3/ *>+3,./5-

+>52-02/+4/ 85>C-C0/ :+ *,/54> =5-.> ./ +> 8-=>9 ; 8>5 0> 4-+4>9 3/ 5/*>+>*/ :+ =-34>

A:/ 5/85/3/+4- 0- 5/.:**,6+ /38/5-.- /+ 0>3 C/+/<,*,>3 /*>+62,*>3 8>5 4-0 2>4,B>F

AR L+1X+O+H1H H( O1 J(H+G+,- 

c&F R- 3/=:+.- *>+.,*,6+ 8-5- /0 5/*>+>*,2,/+4> ./ 0- 8-54,.- /3 A:/ 8>3/- :+ *>34> > B-0>5 A:/

8:/.- 3/5 2/.,.> ./ <>52- <,-C0/9 *>2> @- 3,.> *>2/+4-.> /+ 0>3 8?55-<>3 #G - #c ./

/34/ _-5*> K>+*/84:-0F 7+ 2:*@>3 *-3>39 /0 *>34> > B-0>5 ./C/ /34,2-53/X 8:/3 /0 :3> ./

/34,2-*,>+/3 5-O>+-C0/3 /3 :+- 8-54/ /3/+*,-0 ./ 0- 85/8-5-*,6+ ./ 0>3 /34-.>3 <,+-+*,/5>39

; +> 2/+>3*-C- 3: <,-C,0,.-.F N> >C34-+4/9 *:-+.> +> 8:/./ @-*/53/ :+- /34,2-*,6+

5-O>+-C0/9 0- 8-54,.- +> 3/ 5/*>+>*/ /+ /0 C-0-+*/ =/+/5-0 +, /+ /0 /34-.> ./ 5/3:04-.>3F

M>5 /D/280>9 0-3 ,+./2+,O-*,>+/3 /38/5-.-3 ./ :+ 0,4,=,> -+4/ 0>3 45,C:+-0/39 8:/./+ *:280,50-3 ./<,+,*,>+/3 4-+4> ./ -*4,B> *>2> ./ ,+=5/3>9 -3Q *>2> 0- *>+.,*,6+ ./

85>C-C,0,.-. 8-5- 3/5 5/*>+>*,.-3X 3,+ /2C-5=>9 3, +> /3 8>3,C0/ 2/.,5 ./ <>52- <,-C0/ 0-

,+./2+,O-*,6+9 +> ./C/ 5/*>+>*/53/ +, /0 -*4,B> +, /0 ,+=5/3>F N> >C34-+4/9 0- /U,34/+*,-

./0 0,4,=,> ./C,/5- 3/5 5/B/0-.- 8>5 2/.,> ./ +>4-39 2-4/5,-0 /U80,*-4,B> > -+/U>3

*>280/2/+4-5,>3F

Page 162: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 162/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G&!

cIF \+- 8-54,.- A:/9 /+ :+ ./4/52,+-.> 2>2/+4>9 +> *:280- 0-3 *>+.,*,>+/3 8-5- 3:

5/*>+>*,2,/+4> /34-C0/*,.-3 /+ /0 8?55-<> c#9 8:/./ A:/.-5 *-0,<,*-.- 8-5- 3/5 5/*>+>*,.- /+

:+- </*@- 8>34/5,>59 *>2> *>+3/*:/+*,- ./ *,5*:+34-+*,-3 > @/*@>3 8>34/5,>5/3F

ccF d/38/*4> ./ :+- 8-54,.- A:/9 -:+ 8>3/;/+.> 0-3 *-5-*4/5Q34,*-3 /3/+*,-0/3 8-5- 3/5 :+

/0/2/+4>9 0/ <-04/+ 8>5 *:280,5 0-3 *>+.,*,>+/3 8-5- 3: 5/*>+>*,2,/+4>9 8:/./9 3,+

/2C-5=>9 5/A:/5,5 3/5 5/B/0-.- - 45-B)3 ./ +>4-39 >45> 2-4/5,-0 ,+<>52-4,B> > /+

-+/U>3 *>280/2/+4-5,>3 - 0>3 /34-.>3 <,+-+*,/5>3F 700> /3 -85>8,-.> *:-+.> /0

5/*>+>*,2,/+4> ./ 4-0 8-54,.- 3/ *>+3,./5/ 5/0/B-+4/ 8-5- 0>3 :3:-5,>3 ./ 0>3 /34-.>3

<,+-+*,/5>39 /+ 3: /B-0:-*,6+ ./ 0- 3,4:-*,6+ <,+-+*,/5-9 ./ 0>3 5/3:04-.>3 ; ./ 0>3 <0:D>3

./ /</*4,B> ./ :+- /285/3-F

DR =(GE-EG+J+(-*E H( 1G*+0E) 

cHF W/ 5/*>+>*/ :+ -*4,B> /+ /0 C-0-+*/ =/+/5-0 *:-+.> /3 85>C-C0/ A:/ 3/ >C4/+=-+ ./ 0>32,32>3 C/+/<,*,>3 /*>+62,*>3 <:4:5>3 8-5- 0- /285/3- ; -./2?3 /0 -*4,B> 4,/+/ :+ *>34> >

 B-0>5 A:/ 8:/./ 3/5 2/.,.> *>+ <,-C,0,.-.F

HPF \+ -*4,B> +> /3 >CD/4> ./ 5/*>+>*,2,/+4> /+ /0 C-0-+*/ =/+/5-0 *:-+.> 3/ *>+3,./5-

,285>C-C0/ A:/ ./ 0- ,+B/53,6+ 5/-0,O-.- 3/ B-;-+ - >C4/+/5 C/+/<,*,>3 /*>+62,*>3 /+ /0

<:4:5>F (-0 45-+3-**,6+ 00/B- -0 5/*>+>*,2,/+4> ./ :+ =-34> > :+- 8)5.,.- /+ /0 /34-.> ./

5/3:04-.>3F

KR =(GE-EG+J+(-*E H( T1)+0E) 

HGF W/ 5/*>+>*/ :+ 8-3,B> /+ /0 C-0-+*/ =/+/5-09 *:-+.> /3 85>C-C0/ A:/ :+- 3-0,.- ./ 5/*:53>3

5/85/3/+4-4,B>3 ./ C/+/<,*,>3 /*>+62,*>3 5/3:04-5? ./0 8-=> ./ :+- >C0,=-*,6+ -*4:-0 A:/

8:/./ 3/5 2/.,.- <,-C0/2/+4/F 7+ 0- 85?*4,*-9 0-3 >C0,=-*,>+/3 ./5,B-.-3 ./

*>+45-4>39 /+ 0- 8-54/ 85>8>5*,>+-0 4>.-BQ- +> *:280,.- ./ 0>3 2,32>3 ]8>5 /D/280>9

0>3 8-3,B>3 8>5 /U,34/+*,-3 /+*-5=-.-3 8/5> -b+ +> 5/*,C,.-3[9 +> 3/ 5/*>+>*/+

=/+/5-02/+4/ *>2> 4-0/3 /+ 0>3 /34-.>3 <,+-+*,/5>3F W,+ /2C-5=>9 3, 4-0/3

>C0,=-*,>+/39 8>5 3:3 *-5-*4/5Q34,*-3 8-54,*:0-5/3 *:280/+ *>+ 0-3 *>+.,*,>+/3 8-5- 3/5

5/*>+>*,.-3 *>2> 8-3,B>3 /+ 0>3 /34-.>3 <,+-+*,/5>39 3,2:04?+/-2/+4/ ./C/5?+5/*>+>*/53/ 0>3 -*4,B>3 > =-34>3 *>55/38>+.,/+4/3F

QR =(GE-EG+J+(-*E H( +-S/()E) 

H!F W/ 5/*>+>*/ :+ ,+=5/3> /+ /0 /34-.> ./ 5/3:04-.>3 *:-+.> @- 3:5=,.> :+ ,+*5/2/+4>

/+ 0>3 C/+/<,*,>3 /*>+62,*>3 <:4:5>39 5/0-*,>+-.> *>+ :+ ,+*5/2/+4> /+ 0>3 -*4,B>3 > :+-

.,32,+:*,6+ /+ 0>3 8-3,B>39 ; -./2?3 /0 2>+4> ./0 ,+=5/3> 8:/./ 2/.,53/ *>+ <,-C,0,.-.F

Page 163: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 163/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G&#

734> 3,=+,<,*- A:/9 /+ /</*4>9 /0 5/*>+>*,2,/+4> ./ ,+=5/3>3 >*:55/ 3,2:04?+/-2/+4/ *>+

/0 5/*>+>*,2,/+4> ./ -:2/+4>3 /+ -*4,B>3 > 8>5 .,32,+:*,>+/3 /+ 8-3,B>3 ]8>5 /D/280>9 /0

,+*5/2/+4> +/4> /+ -*4,B>3 85>B/+,/+4/ ./ 0- B/+4- ./ C,/+/3 > 3/5B,*,>39 > 0- .,32,+:*,6+

./ 8-3,B>39 5/3:04-+4/ ./ 0- *>+.>+-*,6+ ./ :+ 8-3,B>[F

H#F R-3 *>+.,*,>+/3 8-5- /0 5/*>+>*,2,/+4> ./ ,+=5/3>39 <,D-.-3 /+ /34/ _-5*> K>+*/84:-09

 B-+ .,5,=,.-3 - 5/345,+=,5 /0 5/*>+>*,2,/+4> 3>0> ./ -A:/00-3 8-54,.-3 A:/9 8:.,/+.> 3/5

2/.,.-3 *>+ <,-C,0,.-.9 8>3/-+ :+ =5-.> ./ */54,.:2C5/ 3:<,*,/+4/F

VR =(GE-EG+J+(-*E H( S1)*E) 

H$F W/ 5/*>+>*/ :+ =-34> /+ /0 /34-.> ./ 5/3:04-.>3 *:-+.> @- >*:55,.> :+- .,32,+:*,6+ /+

0>3 C/+/<,*,>3 /*>+62,*>3 <:4:5>39 5/0-*,>+-.- *>+ :+- .,32,+:*,6+ /+ 0>3 -*4,B>3 > :+

,+*5/2/+4> /+ 0>3 8-3,B>39 ; A:/ 8:/./ 2/.,53/ *>+ <,-C,0,.-.F 734> 3,=+,<,*-9 /+ /</*4>9 A:/

/0 5/*>+>*,2,/+4> ./ =-34>3 >*:55/ 3,2:04?+/-2/+4/ *>+ :+ -:2/+4> ./ 8-3,B>3 > 0-

.,32,+:*,6+ ./ :+ -*4,B> ]8>5 /D/280>9 /0 ./B/+=-2,/+4> ./ 3:/0.>3 8>5 8-=-5 > 0-

./85/*,-*,6+ ./ -*4,B>3 <,D>3[F

H% R>3 =-34>3 3/ 5/*>+>*/+ /+ /0 /34-.> ./ 5/3:04-.>3 3>C5/ 0- C-3/ ./ :+- -3>*,-*,6+ .,5/*4-

/+45/ 0>3 *>34>3 ,+*:55,.>3 ; 0- >C4/+*,6+ ./ 8-54,.-3 /38/*Q<,*-3 ./ ,+=5/3>3F 734/ 85>*/3>9

-0 A:/ 3/ ./+>2,+- *>2b+2/+4/ *>55/0-*,6+ ./ =-34>3 *>+ ,+=5/3>39 ,280,*- /0

5/*>+>*,2,/+4> 3,2:04?+/> > *>2C,+-.> ./ :+>3 ; >45>39 A:/ 3:5=/+ .,5/*4- ;o>

*>+D:+4-2/+4/ ./ 0-3 2,32-3 45-+3-**,>+/3 : >45>3 @/*@>3F M>5 /D/280>9 0>3 .,34,+4>3

*>28>+/+4/3 ./ =-34>3 A:/ *>+<>52-+ /0 *>34> ./ B/+4-3 3>+ 5/*>+>*,.>3

3,2:04?+/-2/+4/ *>+ 0>3 ,+=5/3>3 8>5 /3-3 B/+4-39 3,+ /2C-5=>9 0- -80,*-*,6+ ./0

*>+*/84> ./ *>55/0-*,6+ ./ =-34>3 *>+ ,+=5/3>3 C-D> /34/ _-5*> K>+*/84:-09 +>

8/52,4/ /0 5/*>+>*,2,/+4> ./ Q4/23 /+ /0 C-0-+*/ =/+/5-0 A:/ +> *:280-+ *>+ 0-

./<,+,*,6+ ./ -*4,B>3 ; 8-3,B>3F

H&F K:-+.> 3/ /38/5- A:/ 0>3 C/+/<,*,>3 /*>+62,*>3 3:5D-+ - 0> 0-5=> ./ B-5,>3 8/5Q>.>3

*>+4-C0/3 ; 0- *>55/0-*,6+ *>+ 0>3 ,+=5/3>3 -3>*,-.>3 8:/.- ./4/52,+-53/ b+,*-2/+4/ ./

<>52- =/+)5,*- > ,+.,5/*4-9 0>3 =-34>3 3/ 5/*>+>*/+ /+ /0 /34-.> ./ 5/3:04-.>3 :4,0,O-+.>

85>*/.,2,/+4>3 3,34/2?4,*>3 ; 5-*,>+-0/3 ./ .,345,C:*,6+F 734> /39 - 2/+:.>9 +/*/3-5,> 8-5- /0

5/*>+>*,2,/+4> ./ 0>3 =-34>3 5/0-*,>+-.>3 *>+ /0 :3> ./ -*4,B>3 4-0/3 *>2> 0>3 A:/

*>28>+/+ 0-3 85>8,/.-./39 80-+4- ; /A:,8>9 -3Q *>2> *>+ 0- 80:3B-0Q- *>285-.-9 0-3

8-4/+4/3 ; 0-3 2-5*-39 ./+>2,+?+.>3/ /+ /34>3 *-3>3 -0 =-34> *>55/38>+.,/+4/ *>2>

./85/*,-*,6+ > -2>54,O-*,6+F R>3 85>*/.,2,/+4>39 ./ .,345,C:*,6+ /34?+ .,3/V-.>3 - <,+ ./

Page 164: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 164/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G&$

A:/ 3/ 5/*>+>O*- /0 =-34> /+ 0>3 8/5Q>.>3 *>+4-C0/3 /+ A:/ 3/ *>+3:2/+ > /U8,5-+ 0>3

C/+/<,*,>3 /*>+62,*>3 5/0-*,>+-.>3 *>+ /34-3 8-54,.-3F

HIF `/+45> ./0 /34-.> ./ 5/3:04-.>39 3/ 5/*>+>*/ ,+2/.,-4-2/+4/ *>2> 4-0 :+ =-34> *:-+.> /0

./3/2C>03> *>55/38>+.,/+4/ +> 85>.:*/ C/+/<,*,>3 /*>+62,*>3 <:4:5>39 > *:-+.> ; /+ 0-

2/.,.- A:/ 4-0/3 C/+/<,*,>3 /*>+62,*>3 <:4:5>3 +> *:280/+ > ./D-+ ./ *:280,5 0-3

*>+.,*,>+/3 8-5- 3: 5/*>+>*,2,/+4> *>2> :+ -*4,B> /+ /0 C-0-+*/ =/+/5-0F

HcF W/ 5/*>+>*/ 4-2C,)+ :+ =-34> /+ /0 /34-.> ./ 5/3:04-.>3 /+ -A:/00>3 *-3>3 /+ A:/ 3/

,+*:55/ /+ :+ 8-3,B> 3,+ 5/*>+>*/5 :+ -*4,B> *>55/0-*,>+-.>9 *>2> >*:55/ /+ /0 *-3> ./ 3:5=,5

:+ 8-3,B> 8>5 :+- =-5-+4Q- B,=/+4/ 3>C5/ 85>.:*4>3 B/+.,.>3F

"R <&$"%"@# $& 84: &8&<&#54: $& 84: &:56$4: L"#6#%"&=4: 

HHF _/.,*,6+ /3 /0 85>*/3> ./ ./4/52,+-*,6+ ./ 0>3 2>+4>3 2>+/4-5,>3 8>5 0>3 A:/ 3/

5/*>+>*/+ 0>3 /0/2/+4>3 ./ 0>3 /34-.>3 <,+-+*,/5>3 8-5- 3: ,+*0:3,6+ /+ /0 C-0-+*/ =/+/5-0

; /+ /0 /34-.> ./ 5/3:04-.>3F M-5- /00> /3 +/*/3-5,- 0- 3/0/**,6+ ./ :+- C-3/ /38/*Q<,*- ./

2/.,*,6+F

GPPF 7+ 0>3 /34-.>3 <,+-+*,/5>3 3/ /280/-+ .,</5/+4/3 C-3/3 ./ 2/.,*,6+9 *>+ .,</5/+4/3 =5-.>3

; /+ .,34,+4-3 *>2C,+-*,>+/3 /+45/ /00-39 0-3 A:/ ,+*0:;/+9 /+45/ >45-39 0-3 3,=:,/+4/3a

-[ K>34> @,3465,*>F R>3 -*4,B>3 3/ 5/=,345-+ 8>5 /0 2>+4> ./ /</*4,B> >

/A:,B-0/+4/3 ./ /</*4,B> 8-=-.>39 > 8>5 /0 B-0>5 D:34> ./0 -*4,B> /+45/=-.> - *-2C,> /+

/0 2>2/+4> ./ 0- -.A:,3,*,6+F R>3 8-3,B>3 3/ 5/=,345-+ 8>5 /0 B-0>5 ./0 85>.:*4> 5/*,C,.>

- *-2C,> ./ ,+*:55,5 /+ 0- >C0,=-*,6+ >9 /+ -0=:+-3 *,5*:+34-+*,-3 ]8>5 /D/280>9,28:/34> - 0- 5/+4- 8>5 8-=-5[ 8>5 0>3 2>+4>3 ./ /</*4,B> > /A:,B-0/+4/3 ./ /</*4,B>

A:/ 3/ /38/5- 8-=-5 8-5- /U4,+=:,5 0- *>55/38>+.,/+4/ >C0,=-*,6+F

C[ K>34> *>55,/+4/F R>3 -*4,B>3 3/ 00/B-+ *>+4-C0/2/+4/ 8>5 /0 2>+4> ./ /</*4,B>9 >

/A:,B-0/+4/3 ./ /</*4,B>9 A:/ ./C/5Q- 8-=-53/ 3, 3/ -.A:,5,/3/ /+ 0- -*4:-0,.-. /0 2,32>

-*4,B> : >45> ./ 3,2,0-5/3 *-5-*4/5Q34,*-3F R>3 8-3,B>3 3/ 5/=,345-+ -0 2>+4> ./ /</*4,B> >

/A:,B-0/+4/ ./ /</*4,B> A:/ 3/ 5/A:,/5/ 8-5- 0,A:,.-5 0- >C0,=-*,6+ -0 2>2/+4> 85/3/+4/F

*[ f-0>5 5/-0,O-C0/ ]> ./ 0,A:,.-*,6+[F R>3 -*4,B>3 3/ 5/=,345-+ *>+4-C0/2/+4/ 8>5 /0 2>+4>./ /</*4,B> > /A:,B-0/+4/3 ./ /</*4,B> A:/ 8>.5Q-+ 3/5 >C4/+,.>39 /+ /0 2>2/+4> 85/3/+4/9

/+ 0- B/+4- +> <>5O-.- ./ 0>3 2,32>3F R>3 8-3,B>3 3/ 5/=,345-+ - 3:3 B-0>5/3 ./

0,A:,.-*,6+9 /34> /39 0>3 2>+4>3 3,+ ./3*>+4-5 ./ /</*4,B> > /A:,B-0/+4/3 ./ /</*4,B>9 A:/

3/ /38/5- 8-=-5 8>5 0-3 >C0,=-*,>+/3 /+ /0 *:53> +>52-0 ./ 0-3 >8/5-*,>+/3F

Page 165: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 165/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G&%

.[ f-0>5 -*4:-0a R>3 -*4,B>3 3/ 5/=,345-+ *>+4-C0/2/+4/ -0 B-0>5 -*4:-09 ./3*>+4-+.>

0-3 <:4:5-3 /+45-.-3 +/4-3 ./ /</*4,B> A:/ 3/ /38/5- =/+/5/ 0- 8-54,.- /+ /0 *:53> +>52-0

./ 0-3 >8/5-*,>+/3F R>3 8-3,B>3 3/ 5/=,345-+ 8>5 /0 B-0>5 -*4:-09 ./3*>+4-+.> 0-3 3-0,.-3

+/4-3 ./ /</*4,B> A:/ 3/ +/*/3,4-5?+ 8-5- 8-=-5 0-3 >C0,=-*,>+/39 /+ /0 *:53> +>52-0 ./ 0-3

>8/5-*,>+/3F

GPGF R- C-3/ ./ 2/.,*,6+ 2?3 *>2b+2/+4/ :4,0,O-.- 8>5 0-3 /285/3-39 -0 85/8-5-5 3:3 /34-.>3

<,+-+*,/5>39 /3 /0 *>34> @,3465,*>F 734/ 3/ *>2C,+-9 =/+/5-02/+4/9 *>+ >45-3 C-3/3 ./

2/.,*,6+F M>5 /D/280>9 0-3 /U,34/+*,-3 +>52-02/+4/ 3/ 5/<0/D-+

*>+4-C0/2/+4/ -0 2/+>5 B-0>5 /+45/ /0 *>34> @,3465,*> ; /0 B-0>5 +/4> 5/-0,O-C0/9 0>3 B-0>5/3

+/=>*,-C0/3 8:/./+ *>+4-C,0,O-53/ -0 B-0>5 ./ 2/5*-.> ; 0-3 >C0,=-*,>+/3 8>5 ,+./2+,O-*,6+

8>5 -V>3 ./ 3/5B,*,> -0 8/53>+-0 3/ -D:34-+ - 3: B-0>5 -*4:-0F M>5 >45- 8-54/9 -0=:+-3

/285/3-3 :4,0,O-+ 0- C-3/ ./ *>34> *>55,/+4/ *>2> -04/5+-4,B- -+4/ 0- ,+*-8-*,.-. ./ 0- C-3/

./ *>34> @,3465,*> ./ 5/*>+>*/5 /0 /</*4> ./ B-5,-*,>+/3 /+ 0>3 85/*,>3 /38/*Q<,*>3 ./ -*4,B>3

+> 2>+/4-5,>3F

 BR %4#%&.54: $& .65="<4#"4 Z $& <6#5&#"<"&#54 $&8 .65="<4#"4 

3R %E-G(T*E) H( .1*/+JE-+E 

GP!F R- 2-;>5Q- ./ 0-3 /285/3-3 -.>84-+ /0 *>+*/84> <,+-+*,/5> ./0 M-45,2>+,> -0 85/8-5-5 3:3

/34-.>3 <,+-+*,/5>3F K>+ /34/ *>+*/84> A:/ *>+3,./5- /0 .,+/5> ,+B/54,.> > /0 8>./5

-.A:,3,4,B> ,+B/54,.>9 M-45,2>+,> /3 3,+6+,2> ./ 0>3 -*4,B>3 +/4>3 ./ 0- /285/3-F W,

8>5 /0 *>+45-5,>9 3/ -.>84- /0 *>+*/84> <Q3,*> ./ M-45,2>+,>9 *>2> 3/5Q- 0- *-8-*,.-.>8/5-*,>+-09 M-45,2>+,> 3/ *>+3,./5- *>2> 0- *-8-*,.-. 85>.:*4,B- A:/ 8>3// 0- /285/3-

C-3-.-9 8>5 /D/280>9 /+ /0 +b2/5> ./ :+,.-./3 ./ 85>.:*4>3 8-5- 0- B/+4- 85>.:*,.>3

.,-5,-2/+4/F

GP#F R- 3/0/**,6+ ./ :+ -85>8,-.> *>+*/84> ./ M-45,2>+,> 8>5 :+- /285/3- ./C/ /34-5 C-3-.-

/+ 0-3 +/*/3,.-./3 ./ 0>3 :3:-5,>3 ./ 3:3 /34-.>3 <,+-+*,/5>3F 7+ *>+3/*:/+*,-9 :+

*>+*/84> <,+-+*,/5> ./0 M-45,2>+,> ./C/5Q- 3/5 -.>84-.> 3, 0>3 :3:-5,>3 ./ 0>3 /34-.>3

<,+-+*,/5>3 /34?+ 85,2>5.,-02/+4/ ,+4/5/3-.>3 /+ /0 2-+4/+,2,/+4> ./0 M-45,2>+,>

,+B/54,.> ];- 3/- /+ 4)52,+>3 +>2,+-0/3 > /+ 2>+/.- @>2>=)+/-[F M>5 >45- 8-54/9 3, /0

85,+*,8-0 ,+4/5)3 ./ 0>3 :3:-5,>3 /3 0- *-8-*,.-. >8/5-4,B- ./ 0- /285/3-9 :+ *>+*/84>

<Q3,*> ./0 M-45,2>+,> ./C/5Q- 3/5 :3-.>F 70 *>+*/84> 3/0/**,>+-.> ,+.,*- /0 >CD/4,B> -

-0*-+O-5 /+ 0- ./4/52,+-*,6+ ./ 0- :4,0,.-.9 -:+ *:-+.> 3/ 5/*>+>*/ A:/ 8:/./+ /U,34,5

*,/54-3 .,<,*:04-./3 ./ 2/.,*,6+ 8-5- 0>=5-5 /0 >CD/4,B> ./3/-.>F

Page 166: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 166/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G&&

AR %E-G(T*E) H( J1-*(-+J+(-*E H(O .1*/+JE-+E F O1 H(*(/J+-1G+,- H( O1 '*+O+H1H 

GP$F R>3 *>+*/84>3 ./ M-45,2>+,> /U8:/34>3 /+ /0 8?55-<> GP! .-+ 0:=-5 -0 3,=:,/+4/

*>+*/84> ./ 2-+4/+,2,/+4> ./0 M-45,2>+,>a

-[ _-+4/+,2,/+4> ./0 M-45,2>+,> <,+-+*,/5>F S-D> /34/ *>+*/84> 3/ =/+/5- :+- :4,0,.-.

3>0> 3, /0 2>+4> <,+-+*,/5> ]> 2>+/4-5,>[ ./ 0>3 -*4,B>3 +/4>3 -0 <,+-0 ./0 8/5Q>.> /U*/./

-0 2>+4> <,+-+*,/5> ]> 2>+/4-5,>[ ./ 0>3 -*4,B>3 +/4>3 A:/ 0- /285/3- 8>3// -0

85,+*,8,> ./0 2,32>9 ./38:)3 ./ /U*0:,5 0>3 -8>54/3 ;o> .,345,C:*,>+/3 /</*4:-.-3 -

0>3 85>8,/4-5,>3 .:5-+4/ /0 8/5Q>.>F 70 2-+4/+,2,/+4> ./0 M-45,2>+,> <,+-+*,/5> 8:/./ 3/5

2/.,.> /+ :+,.-./3 2>+/4-5,-3 +>2,+-0/3 > /+ :+,.-./3 ./ 8>./5 -.A:,3,4,B> *>+34-+4/

]*>55/=,.-3 2>+/4-5,-2/+4/[F

C[ _-+4/+,2,/+4> ./0 M-45,2>+,> <Q3,*>E S-D> /34/ *>+*/84> 3/ =/+/5- :+- :4,0,.-. 3>0> 3,

0- *-8-*,.-. 85>.:*4,B- /+ 4)52,+>3 <Q3,*>3 ]> *-8-*,.-. >8/5-4,B-[ ./ 0- /285/3- -0 <,+-0

./0 8/5Q>.> ]> 0>3 5/*:53>3 > <>+.>3 +/*/3-5,>3 8-5- 0>=5-5 /3- *-8-*,.-.[ /U*/./+ - 0-

*-8-*,.-. 85>.:*4,B- /+ 4)52,+>3 <Q3,*>3 A:/ 0- /285/3- 8>3/Q- -0 ,+,*,> ./0 8/5Q>.>9

./38:)3 ./ /U*0:,5 0>3 -8>54/3 ./ ;o> .,345,C:*,>+/3 /</*4:-.-3 - 0>3 85>8,/4-5,>3 .:5-+4/

/0 8/5Q>.>F

GP%F 70 *>+*/84> ./ 2-+4/+,2,/+4> ./ M-45,2>+,> /34? 5/</5,.> - *62> :+- /+4,.-. ./<,+/ /0

M-45,2>+,> A:/ ./3/- 2-+4/+/59 3:2,+,345- 0- *>+/U,6+ /+45/ 0>3 *>+*/84>3 ./ M-45,2>+,>

,+,*,-0 ; ./ :4,0,.-.9 8>5A:/ 85>8>5*,>+- /0 8:+4> ./ 5/</5/+*,- 8-5- 2/.,5 0- :4,0,.-.9 0>

*:-0 /3 :+ 85/55/A:,3,4> 8-5- .,34,+=:,5 /+45/ 0> A:/ /3 5/+.,2,/+4> 3>C5/ /0M-45,2>+,> ,+B/54,.> ; 0> A:/ /3 2-+4/+,2,/+4> ./0 M-45,2>+,>F W>0> 0-3 /+45-.-3 ./

-*4,B>3 A:/ /U*/.-+ 0>3 2>+4>3 +/*/3-5,>3 8-5- 2-+4/+/5 /0 M-45,2>+,> 8:/./+ 3/5

*>+3,./5-.-3 *>2> :4,0,.-.9 ; 8>5 0> 4-+4> *>2> 5/+.,2,/+4> ./0 M-45,2>+,>F M>5 /00>9 0-

:4,0,.-. /3 /0 2>+4> 5/3,.:-0 A:/ A:/.- 45-3 @-C/5 ./.:*,.> 0>3 =-34>3 ./ 0>3 ,+=5/3>3

],+*0:;/+.> -D:34/3 8>5 2-+4/+,2,/+4> ./0 M-45,2>+,>9 *:-+.> <:/5/+ -80,*-C0/3[F W, 0>3

=-34>3 3:8/5-+ - 0>3 ,+=5/3>39 /0 2>+4> 5/3,.:-0 /3 :+- 8)5.,.- +/4-

GP&F 70 *>+*/84> ./ 2-+4/+,2,/+4> ./0 M-45,2>+,> <Q3,*> 5/A:,/5/ 0- -.>8*,6+ ./0 *>34>

*>55,/+4/ *>2> C-3/ ./ 0- 2/.,*,6+ *>+4-C0/F W,+ /2C-5=>9 /0 *>+*/84> ./

2-+4/+,2,/+4> ./0 M-45,2>+,> <,+-+*,/5> +> 5/A:,/5/ 0- -.>8*,6+ ./ :+- C-3/

8-54,*:0-5 ./ 2/.,*,6+F S-D> /34/ b04,2> *>+*/84>9 0- 3/0/**,6+ ./ 0- C-3/ ./

2/.,*,6+ ./8/+./ ./0 4,8> ./ M-45,2>+,> <,+-+*,/5> A:/ 0- /285/3- ./3// 2-+4/+/5 ];- 3/-

/+ 4)52,+>3 +>2,+-0/3 > /+ 2>+/.- @>2>=)+/-[F

Page 167: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 167/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G&I

GPIF R- 85,+*,8-0 .,</5/+*,- /+45/ 0>3 .>3 *>+*/84>3 ./ 2-+4/+,2,/+4> ./0 M-45,2>+,> /3 /0

45-4-2,/+4> ./ 0>3 /</*4>3 ./ 0>3 *-2C,>3 /+ 0>3 85/*,>3 /38/*Q<,*>3 ./ 0>3 -*4,B>3 ; 8-3,B>3

./ 0- /285/3-F 7+ 4)52,+>3 =/+/5-0/39 :+- /285/3- @- 2-+4/+,.>9 3: M-45,2>+,> 3,

8>3// :+ 2>+4> /A:,B-0/+4/ -0 85,+*,8,> *>2> -0 <,+-0 ./0 8/5Q>.>F K:-0A:,/5 2>+4> A:/

/U*/.- - -A:/0 5/A:/5,.> 8-5- 2-+4/+/5 /0 M-45,2>+,> ,+,*,-0 /3 :4,0,.-.F

GPcF S-D> /0 *>+*/84> ./ 2-+4/+,2,/+4> ./0 M-45,2>+,> <,+-+*,/5>9 /+ A:/ )34/ /34?

./<,+,.> /+ 4)52,+>3 ./ :+,.-./3 2>+/4-5,-3 +>2,+-0/39 0- :4,0,.-. /3 /0 ,+*5/2/+4> /+ /0

8/5Q>.> ./0 M-45,2>+,> 2>+/4-5,> +>2,+-0F M>5 0> 4-+4>9 0>3 ,+*5/2/+4>3 ./ 0>3 85/*,>3

/38/*Q<,*>3 ./ 0>3 -*4,B>3 2-+4/+,.>3 /+ /0 8/5Q>.>9 - 0>3 A:/ 3/ ./+>2,+-+

*>+B/+*,>+-02/+4/ =-+-+*,-3 8>5 4/+/+*,-9 3>+ *>+*/84:-02/+4/ :4,0,.-./3F W,+

/2C-5=>9 +> 8:/./+9 5/*>+>*/53/ *>2> 4-0/3 @-34- A:/ 0>3 -*4,B>3 3/-+ 5/-0,O-.>3 >

 B/+.,.>3 8>5 2/.,> ./ :+- 45-+3-**,6+F K:-+.> /0 *>+*/84> ./ 2-+4/+,2,/+4> ./0M-45,2>+,> <,+-+*,/5> /34? ./<,+,.> /+ 4)52,+>3 ./ :+,.-./3 ./ 8>./5 -.A:,3,4,B>

*>+34-+4/9 0- :4,0,.-. /3 /0 ,+*5/2/+4> /+ /0 8/5Q>.> ./ 0- *-8-*,.-. -.A:,3,4,B-

,+B/54,.-F M>5 0> 4-+4>9 3>0> 0- 8-54/ ./0 ,+*5/2/+4> /+ 0>3 85/*,>3 /38/*Q<,*>3 ./ 0>3 -*4,B>3

A:/ /U*/.- -0 ,+*5/2/+4> /+ /0 +,B/0 =/+/5-0 ./ 85/*,>3 3/ *>+3,./5- *>2> :4,0,.-.F 70

5/34> ./0 ,+*5/2/+4> 3/ 45-4- *>2> :+ -D:34/ 8>5 2-+4/+,2,/+4> ./0 M-45,2>+,> ;9 8>5

/00>9 <>52- 8-54/ ./ )34/F

GPHF S-D> /0 *>+*/84> ./ 2-+4/+,2,/+4> ./0 M-45,2>+,> <Q3,*>9 /+ A:/ )34/ /34? ./<,+,.> /+

4)52,+>3 ./ *-8-*,.-. 85>.:*4,B- <Q3,*-9 0- :4,0,.-. /3 /0 ,+*5/2/+4> @-C,.> - 0> 0-5=> ./0

8/5Q>.> /+ /0 M-45,2>+,>F (>.>3 0>3 *-2C,>3 ./ 85/*,>3 /38/*Q<,*>3 A:/ -</*4-+ - 0>3 -*4,B>3

; >C0,=-*,>+/3 ./ 0- /285/3- 3/ *>+3,./5-+ *>2> *-2C,>3 /+ 0- 2/.,*,6+ ./ 0- *-8-*,.-. ./

85>.:**,6+ <Q3,*- ./ 0- 2,32- ;9 8>5 0> 4-+4>9 3>+ 45-4-.>3 *>2> -D:34/3 8>5

2-+4/+,2,/+4> ./0 M-45,2>+,> A:/ /+45-+ - <>52-5 8-54/ ./ )34/ ; +> *>2> :+- :4,0,.-.F

GGPF 70 2>./0> *>+4-C0/ :4,0,O-.> 8-5- 0- 85/8-5-*,6+ ./ 0>3 /34-.>3 <,+-+*,/5>3 /34-5?

./4/52,+-.> 8>5 0- 3/0/**,6+ ./ 0-3 C-3/3 ./ 2/.,.- ; ./0 *>+*/84> ./

2-+4/+,2,/+4> ./0 M-45,2>+,>X 0>3 .,</5/+4/3 2>./0>3 *>+4-C0/3 4,/+/+ .,34,+4>3 =5-.>3

./ 5/0/B-+*,- ; <,-C,0,.-.F 70 *>+*/84> ./ M-45,2>+,> ; 2-+4/+,2,/+4> ./0 M-45,2>+,>

-.>84-.> /+ K@,0/ /3 /0 *>+*/84> <,+-+*,/5>9 2/.,.> /+ :+,.-./3 ./ 8>./5 -.A:,3,4,B>

*>+34-+4/F

Page 168: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 168/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G&c

 6.=476%"@# $& 86 %4<":"@# $& .="#%"."4: Z

#4=<6: $& %4#567"8"$6$ 

734/ _-5*> K>+*/84:-0 @- 3,.> 85/8-5-.> 8>5 0- K>2,3,6+ ./ M5,+*,8,>3 ; N>52-3 ./

K>+4-C,0,.-. ./0 K>0/=,> ./ K>+4-.>5/3 ./ K@,0/ 1FLF9 /+ 0- A:/ 8-54,*,8-+ 5/85/3/+4-+4/3 ./ 0-

85></3,6+9 ./ 0- K>+</./5-*,6+ ./ 0- M5>.:**,6+ ; ./ K>2/5*,> 1FLF9 ; ./ .,B/53-3 \+,B/53,.-./3 ;

@- 3,.> -85>C-.> *>+ /0 B>4> -<,52-4,B> ./ 4>.>3 3:3 2,/2C5>3F

_-5,> _:V>O fF

M5/3,./+4/

 fQ*4>5 S/045-2Q+ JF _,=:/0 ‚+=/0 W-0,+-3 SF

`,=+- 1Ob- 1F d,*-5.> W?+*@/O dF

 q:-+ ZB-+>B,*@ MF _-5,> (>55/3 WF

`-+4/ d/34-,+> `F 7.:-5.> f/5=-5- `F

_-5Q- M-:0,+- p:+,+> dF

K5,346C-0 M/44/53/+ (F

`,5/*4>5 ()*+,*>

 6.=476%"4# $&8 c; %4#:&B4 #6%"4#68 $&8

%48&?"4 $& %4#56$4=&: $& %c"8& 6;?; 

70 85/3/+te ―Marco Co+*/84:-0 8-5- 0- M5/8aración y Presentación de Estados Financieros‖ fue 

-85>C-.> 8>5 /0 J>+>5-C0/ K>+3/D> N-*,>+-0 ./0 K>0/=,> ./ K>+4-.>5/3 ./ K@,0/ 1FLF /+ 3: 3/3,6+

>5.,+-5,- ./0 Gc ./ -C5,0 ./ !PP&9 ./ *>+<>52,.-. - 0-3 -45,C:*,>+/3 *>+4/+,.-3 /+ 0- 0/45- @[ ./0

 154Q*:0> G# ./ 0>3 734-4:4>3 ./0 K>0/=,> ]154F G#T 0/45- =[ ./ 0- R/; NT

G#FPGG[ ; -*>5.6 @-*/5 >C0,=-4>5,- 0- -80,*-*,6+ ./ /34/ _-5*> K>+*/84:-0 - 0>3 /34-.>3 <,+-+*,/5>3

./ /D/5*,*,>3 A:/ 3/ ,+,*,-+ - *>+4-5 ./0 GT ./ /+/5> ./ !PPHF

L&=#6#$4 .478&5& C&86:_>&] 8>": 6; x&=#&=Mx"8$#&=N .c; $; 

:(G/(*1/+E ?(-(/1O ./()+H(-*( #1G+E-1O 

Page 169: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 169/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) G&H

3V;A   6 #&d4 A2 #"% 3

#E/J1 "-*(/-1G+E-1O H( %E-*1X+O+H1H #y 3 

./()(-*1G+,- H( &)*1HE) L+-1-G+(/E)  

4XP(*+0E 

G 734- N>52- 5/*>2,/+.- 0- C-3/ 8-5- 0- 85/3/+4-*,6+ ./ /34-.>3 <,+-+*,/5>3 *>+ 85>863,4>3 ./

,+<>52-*,6+ =/+/5-09 - <,+ ./ -3/=:5-5 A:/ 0>3 2,32>3 3/-+ *>28-5-C0/39 4-+4> *>+ 0>3 /34-.>3

<,+-+*,/5>3 ./ 0- 2,32- /+4,.-. *>55/38>+.,/+4/3 - 8/5Q>.>3 -+4/5,>5/39 *>2> *>+ 0>3 ./ >45-3

/+4,.-./3F 734- N>52- /34-C0/*/ 5/A:/5,2,/+4>3 =/+/5-0/3 8-5- 0- 85/3/+4-*,6+ ./ /34-.>3

<,+-+*,/5>39 =:Q-3 8-5- 3: /345:*4:5-9 ; 5/A:/5,2,/+4>3 2Q+,2>3 3>C5/ 3: *>+4/+,.>F

 6OG1-G( 

! >-1 (-*+H1H 1TO+G1/h ()*1 #E/J1 1O T/(T1/1/ F T/()(-*1/ ()*1HE) I+-1-G+(/E) GE- T/ET,)+*E)H( +-IE/J1G+,- S(-(/1ON H( 1G'(/HE GE- F T/()(-*1HE) GE-IE/J( 1 O1) #E/J1)

"-*(/-1G+E-1O() H( "-IE/J1G+,- L+-1-G+(/1 b#""LR; 

# e45-3 NZZ^ /34-C0/*/+ 0>3 5/A:/5,2,/+4>3 8-5- /0 5/*>+>*,2,/+4>9 B-0>5,O-*,6+ ; 5/B/0-*,6+

8-5- 45-+3-**,>+/3 /38/*Q<,*-3 ; >45>3 @/*@>3F

$ 734- N>52- +> /3 -80,*-C0/ - 0- /345:*4:5- ; -0 *>+4/+,.> ./ /34-.>3 <,+-+*,/5>3 ,+4/52/.,>3

5/3:2,.>3 85/8-5-.>3 ./ -*:/5.> *>+ 0- NZK #$  H*5+.#* S2-+-62/$#* 0-5/$,/.2#* F W,+

/2C-5=>9 0>3 8?55-<>3 G% - #% 3>+ -80,*-C0/3 - 4-0/3 /34-.>3 <,+-+*,/5>3F 734- +>52- /3

,=:-02/+4/ -80,*-C0/ - 4>.-3 0-3 /+4,.-./39 ,+*0:;/+.> -A:/00-3 A:/ 85/3/+4-+ /34-.>3

<,+-+*,/5>3 *>+3>0,.-.>3 ; -A:/00-3 A:/ 85/3/+4-+ /34-.>3 <,+-+*,/5>3 3/8-5-.>3 ./ -*:/5.> - 0-

./<,+,*,6+ /+ 0- NZK !I H*5+.#* S2-+-62/$#* 4#-*#)2.+.#* : O/?+$+.#*E 

% 734- N>52- :4,0,O- 4/52,+>0>=Q- A:/ /3 -./*:-.- 8-5- /+4,.-./3 *>+ <,+/3 ./ 0:*5>9

,+*0:;/+.> -A:)00-3 8/54/+/*,/+4/3 -0 3/*4>5 8bC0,*>F W, 0-3 /+4,.-./3 A:/ +> 8/53,=:/+ <,+/3 ./

0:*5>9 ;- 3/- 8/54/+/O*-+ -0 3/*4>5 85,B-.> > 8bC0,*>9 > C,/+ - *:-0A:,/5 4,8> ./

 1.2,+,345-*,6+ 8bC0,*-9 -80,*-+ /34- N>52-9 8:/./+ 5/A:/5,5 2>.,<,*-5 0-3 ./3*5,8*,>+/3

:4,0,O-.-3 8-5- *,/54-3 8-54,.-3 /+ 0>3 /34-.>3 <,+-+*,/5>39 ; 8-5- 0>3 /34-.>3 <,+-+*,/5>3

*>2> 4-0F

& `/ ,=:-0 <>52-9 0-3 /+4,.-./3 A:/ *-5/*/+ ./ 8-45,2>+,>9 4-0 ; *>2> 3/ ./<,+/ /+ 0- NZK #!

0-*5$',/-5#* S2-+-62/$#*Q "$/*/-5+627- ]8>5 /D/280>9 -0=:+>3 <>+.>3 2:4:>3[9 ; -A:/00-3 /+4,.-./3

*:;> *-8,4-0 +> /3 8-45,2>+,> ]8>5 /D/280>9 -0=:+-3 /+4,.-./3 *>>8/5-4,B-3[ 8:/./+ +/*/3,4-5

-.-84-5 0- 85/3/+4-*,6+ ./ 0-3 8-54,*,8-*,>+/3 ./ 3:3 8-54,*,8/3 /+ 0>3 /34-.>3 <,+-+*,/5>3F

Page 170: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 170/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GIP

$(I+-+G+E-() 

I 8E) )+S'+(-*() *e/J+-E) )( (JTO(1- (- O1 T/()(-*( #E/J1 GE- (O )+S-+I+G1HE f'( 1

GE-*+-'1G+,- )( ()T(G+I+G1a

 H*5+.#* S2-+-62/$#* 6#- "$#?7*25# ./ 0-9#$,+627- R/-/$+) b/(I(/+HE) GEJE “e)*1HE) I+-1-G+(/E)”R

:E- 1f'(OOE) f'( *+(-(- GEJE T/ET,)+*E G'JTO+/ GE- O1) -(G()+H1H() H( ')'1/+E) f'( -E

()*h- (- TE)+G+,- T1/1 /(f'(/+/ f'( '-1 (-*+H1H T/(T1/( +-IE/J() 1 O1 J(H+H1 H( )')

 T/ET+1) -(G()+H1H() H( +-IE/J1G+,-; 

0,?$+6526+8)/ 81 1TO+G1G+,- H( '- /(f'(/+J+(-*E () +JT/1G*+G1XO( G'1-HE O1 (-*+H1H -E T'(H1

1TO+G1/OEN */1) (I(G*'1/ *EHE) OE) ()I'(/iE) /1iE-1XO() T1/1 U1G(/OE; 

 M#$,+* 0-5/$-+62#-+)/* ./ 0-9#$,+627- S2-+-62/$+ NM00SP@ )E- #E/J1) ( "-*(/T/(*1G+E-() 1HET*1H1)

 TE/ (O “"-*(/-1*+E-1O 6GGE'-*+-S :*1-H1/H) 7E1/H b"6:7R”, F GEJT/(-H(-a

]-[ #E/J1) "-*(/-1G+E-1O() H( "-IE/J1G+,- L+-1-G+(/1z ]C[ #E/J1) "-*(/-1G+E-1O() H( %E-*1X+O+H1Hz ( 

]*[ "-*(/T/(*1G+E-() H()1//EOO1H1) TE/ (O %EJ+*e H( "-*(/T/(*1G+,- H( O1) #E/J1) H(

"-*(/-1G+E-1O() H( "-IE/J1G+,- L+-1-G+(/1 b%"#""LRN E TE/ (O 1-*(/+E/

H(-EJ+-1H1) “StanH+-S "-*(/T/(*1*+E-) %EJJ+**((r b:"%R; 

T,2*2#-/* *21-2926+52A+* # $/?$/*/-5+62#-/* 2-6#$$/65+* H( T1/*+H1) f'( )E- )+S-+I+G1*+01) )+ T'(H(-N

+-H+0+H'1OJ(-*( E (- )' GE-P'-*EN +-IO'+/ (- O1) H(G+)+E-() (GE-,J+G1) *EJ1H1)

 TE/ OE) ')'1/+E) GE- X1)( (- OE) ()*1HE) I+-1-G+(/E); 81 +JTE/*1-G+1 /(O1*+01 H(T(-H(/h

H( O1 J1S-+*'H F O1 -1*'/1O(i1 H( O1 EJ+)+,- E H( O1 /(T/()(-*1G+,- +-GE//(G*1N

(01O'1HE) (- I'-G+,- H( O1) G+/G'-)*1-G+1) T1/*+G'O1/() (- f'( )( U1F1- T/EH'G+HE; 81

J1S-+*'H E O1 -1*'/1O(i1 H( O1 T1/*+H1 E '-1 GEJX+-1G+,- H( 1JX1)N TEH/g1 )(/ (O

I1G*E/ H(*(/J+-1-*(; 

7B-0:-5 3, :+- >2,3,6+ > :+- 5/85/3/+4-*,6+ ,+*>55/*4- 8:/./+ ,+<0:,5 /+ 0-3 ./*,3,>+/3

/*>+62,*-3 ./ 0>3 :3:-5,>3 ; -3Q 3/5 3,=+,<,*-4,B>9 /U,=,5? 4/+/5 /+ *:/+4- 0-3 *-5-*4/5Q34,*-3 ./

/3>3 :3:-5,>3F 70  I+$6# 4#-6/?5'+) ?+$+ )+ "$/?+$+627- : "$/*/-5+627- ./ H*5+.#* S2-+-62/$#* /34-C0/*/9

/+ 3: 8?55-<> !%9 A:/„

3/ 3:8>+/ A:/ 0>3 :3:-5,>3 4,/+/+ :+ *>+>*,2,/+4> 5-O>+-C0/ ./ 0-3-*4,B,.-./3 /*>+62,*-3 ; ./0 2:+.> ./ 0>3 +/=>*,>39 -3Q *>2> ./ 3: *>+4-C,0,.-.9 ; 4,/+/+

0- ,+4/+*,6+ ; 0- B>0:+4-. ./ -+-0,O-5 0- ,+<>52-*,6+ /+ <>52- 5-O>+-C0/2/+4/ *:,.-.>3-‟F

7+ *>+3/*:/+*,-9 0- /B-0:-*,6+ /U,=,5? 4/+/5 /+ *:/+4- *62> 8:/./ /38/5-53/ A:/9 /+ 4)52,+>3

5-O>+-C0/39 :3:-5,>3 *>+ 0-3 *-5-*4/5Q34,*-3 ./3*5,4-3 3/ B/-+ ,+<0:,.>3 -0 4>2-5 ./*,3,>+/3

/*>+62,*-3F

Page 171: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 171/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GIG

81) -#5+* GE-*+(-(- +-IE/J1G+,- 1H+G+E-1O 1 O1 T/()(-*1H1 (- (O ()*1HE H( )+*'1G+,-

I+-1-G+(/1N ()*1HE +-*(S/1O H( /()'O*1HE)N ()*1HE I+-1-G+(/E )(T1/1HE b)+ )( T/()(-*1/1R

()*1HE H( G1JX+E) (- (O T1*/+JE-+E F ()*1HE H( IO'PE) H( (I(G*+0E; 81) -E*1)

 T/ETE/G+E-1- H()G/+TG+E-() -1//1*+01) E 1-hO+)+) H( T1/*+H1) T/()(-*1H1) (- ()E)

()*1HE) I+-1-G+(/E) ( +-IE/J1G+,- )EX/( T1/*+H1) f'( -E 1J(/+*1- )(/ /(GE-EG+H1) (-

()E) ()*1HE) I+-1-G+(/E) 

T5$#* $/*')5+.#* 2-5/1$+)/* ()*h GE-)*+*'+HE TE/ T1/*+H1) H( +-S/()E) F S1)*E) b+-GO'F(-HE

1P')*() TE/ /(GO1)+I+G1G+E-()R f'( -E )E- /(GE-EG+HE) (- '*+O+H1H E Te/H+H1 GEJE

/(f'+(/(- E T(/J+*(- E*/1) #""LR; 

R>3 *>28>+/+4/3 ./ >45>3 5/3:04-.>3 ,+4/=5-0/3 ,+*0:;/+a

]-[ *-2C,>3 /+ 0-3 5/3/5B-3 ./ 5/B-0>5,O-*,6+ ]B/5 NZK G& J652A# S2G# ; NZK #c  J652A#*  

0-5+-128)/*  [

]C[ =-+-+*,-3 ; 8)5.,.-3 -*4:-5,-0/3 ./ 80-+/3 ./ C/+/<,*,>3 5/*>+>*,.>3 ./ -*:/5.> *>+ /0

8?55-<> H# 1 ./ 0- NZK GH `/-/9262#* + )#* H,?)/+.#*  

]*[ =-+-+*,-3 ; 8)5.,.-3 5/3:04-+4/3 ./ 0- 45-.:**,6+ ./ /34-.>3 <,+-+*,/5>3 ./ :+-

>8/5-*,6+ /+ /0 /U45-+D/5> ]B/5 NZK !G  H9/65#* ./ )+* a+$2+62#-/* /- )#* L2?#* ./ 4+,82# ./ )+

 I#-/.+ HF5$+-G/$+P 

].[ =-+-+*,-3 ; 8)5.,.-3 -0 2/.,5 +:/B-2/+4/ -*4,B>3 <,+-+*,/5>3 .,38>+,C0/3 8-5- 0- B/+4-

]B/5 NZK #H 0-*5$',/-5#* S2-+-62/$#* NU/6#-#62,2/-5# : a+)#$2C+627-P 

]/[ R- 8-54/ /</*4,B- ./ =-+-+*,-3 ; 8)5.,.-3 3>C5/ ,+345:2/+4>3 <,+-+*,/5>3 ./ *>C/54:5- /+:+- *>C/54:5- ./ 8-=>3 ./ /</*4,B> ]B/5 NZK #H[

<'/b#* )E- OE) *+*'O1/() H( +-)*/'J(-*E) GO1)+I+G1HE) GEJE H( T1*/+JE-+E 

B52)2.+. # ?($.2.+ () (O +-S/()E *E*1O J(-E) S1)*E) (jGO'F(-HE OE) GEJTE-(-*() H( E*/E)

/()'O*1HE) +-*(S/1O() 

 JG'*5/* ?#$ $/6)+*2926+62#-/* )E- OE) JE-*E) /(GO1)+I+G1HE) (- '*+O+H1H E Te/H+H1 (- (O T(/gEHE 1G*'1O

f'( I'(/E- /(GE-EG+HE) GEJE E*/E) /()'O*1HE) +-*(S/1O() (- (O T(/gEHE 1G*'1O E 1-*(/+E/ 

U/*')5+.#* 2-5/1$+)/* 5#5+)/* &) (O G1JX+E (- T1*/+JE-+E H'/1-*( '- T(/gEHE /()'O*1-*( H(

*/1-)1GG+E-() F E*/E) U(GUE) H+)*+-*E) 1 1f'(OOE) G1JX+E) f'( /()'O*(- H(

*/1-)1GG+E-() GE- OE) H'({E)N (- )' G1O+H1H H( *1O(); 

R>3 5/3:04-.>3 ,+4/=5-0/3 4>4-0/3 *>285/+./+ - 4>.>3 0>3 *>28>+/+4/3 ./ ―:4,0,.-. > 8)5.,.-‖ ; ./

―>45>3 5/3:04-.>3 ,+4/=5-0/3”    

Page 172: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 172/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GI!

c 1:+ *:-+.> /34- N>52- /280/- 0>3 4)52,+>3 ―>45>3 5/3:04-.>3 ,+4/=5-0/3‖9 ―:4,0,.-. >

8)5.,da‖ ; ―5/3:04-.>3 ,+4/=5-0/3 4>4-0/3‖9 :+- /+4,.-. 8:/./ /280/-5 >45>3 4)52,+>3 8-5-

./3*5,C,5 0>3 4>4-0/3 3,/285/ A:/ /0 3,=+,<,*-.> 3/- *0-5>F M>5 /D/280> :+- /+4,.-. 8:/./

/280/-5 /0 4)52,+> ―,+=5/3> +/4>‖ p-5- ./3*5,C,5 :4,0,.-. > 8)5.,.-F

&)*1HE) I+-1-G+(/E) 

L+-1O+H1H H( OE) ()*1HE) I+-1-G+(/E) 

H R>3 /34-.>3 <,+-+*,/5>3 *>+34,4:;/+ :+- 5/85/3/+4-*,6+ /345:*4:5-.- ./ 0- 3,4:-*,6+

<,+-+*,/5- ; ./0 ./3/28/V> <,+-+*,/5> ./ :+- /+4,.-.F 70 >CD/4,B> ./ 0>3 /34-.>3 <,+-+*,/5>3 /3

85>8>5*,>+-5 ,+<>52-*,6+ -*/5*- ./ 0- 3,4:-*,6+ <,+-+*,/5-9 ./0 ./3/28/V> <,+-+*,/5> ; ./ 0>3

<0:D>3 ./ /</*4,B> ./ 0- /+4,.-.9 A:/ 3/- b4,0 - :+- -280,- B-5,/.-. ./ :3:-5,>3 8-5- 4>2-5 3:3

./*,3,>+/3 /*>+62,*-3F R>3 /34-.>3 <,+-+*,/5>3 4-2C,)+ 2:/345-+ 0>3 5/3:04-.>3 ./ 0- =/34,6+5/-0,O-.- 8>5 0>3 1.2,+,345-.>5/3 *>+ 0>3 5/*:53>3 A:/ 3/ 0/3 @-+ *>+<,-.>F M-5- *:280,5 /34/

>CD/4,B>9 0>3 /34-.>3 <,+-+*,/5>3 85>8>5*,>+-+ ,+<>52-*,6+ -*/5*- ./ 0>3 3,=:,/+4/3 /0/2/+4>3 ./

0- /+4,.-.a

]-[ -*4,B>3X

]C[ 8-3,B>3X

]*[ 8-45,2>+,>X

].[ ,+=5/3>3 ; =-34>3 ,+*0:;/+.> 0-3 =-+-+*,-3 ; 8)5.,.-3X

]/[ -8>54/3 ./ ; .,345,C:*,6+ - 0>3 .:/V>3 /+ 3: *-0,.-. ./ 4-0/3X ;

]<[ <0:D>3 ./ /</*4,B>a

734- ,+<>52-*,6+9 D:+4> *>+ 0- *>+4/+,.- /+ 0-3 +>4-39 -;:.- - 0>3 :3:-5,>3 ./ /34-.>3

<,+-+*,/5>3 - 85/./*,5 0>3 <0:D>3 ./ /</*4,B> <:4:5>3 ;9 /+ 8-54,*:0-59 0- >8>54:+,.-. ; /0

=5-.> ./ */54,.:2C5/ ./ 0>3 2,32>3F

 B'(SE GEJTO(*E H( ()*1HE) I+-1-G+(/E) 

GP >- P'(SE GEJTO(*E H( ()*1HE) I+-1-G+(/E) +-GO'F( OE) )+S'+(-*() GEJTE-(-*()2 

]-[ '- ()*1HE H( )+*'1G+,- I+-1-G+(/1 1O G+(//( H(O T(/gEHEz ]C[ '- ()*1HE +-*(S/1O H( /()'O*1HE) T1/1 (O T(/gEHEz 

]*[ ()*1HE H( G1JX+E) (- (O T1*/+JE-+E T1/1 (O T(/gEHEz 

].[ ()*1HE H( IO'PE) H( (I(G*+0E T1/1 (O T(/gEHEz 

]/[ -E*1)N (- O1) f'( )( +-GO'+/h '- /()'J(- H( O1) TEOg*+G1) GE-*1XO() Jh)

)+S-+I+G1*+01) F E*/1 +-IE/J1G+,- (jTO+G1*+01z F 

Page 173: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 173/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GI#

]<[ '- ()*1HE H( )+*'1G+,- I+-1-G+(/1 1O GEJ+(-iE H(O T(/gEHE GEJT1/1*+0E Jh)

1-*+S'E G'1-HE O1 (-*+H1H 1TO+G1 '-1 TEOg*+G1 GE-*1XO( /(*/E)T(G*+01J(-*( E

(I(G*s1 '- /(M(jT/()+,- H( T1/*+H1) (- )') ()*1HE) I+-1-G+(/E) E G'1-HE

/(GO1)+I+G1 T1/*+H1) (- )') ()*1HE) I+-1-G+(/E); 

>-1 (-*+H1H T'(H( ')1/ *g*'OE) T1/1 OE) ()*1HE) I+-1-G+(/E) H+)*+-*E) 1 OE) '*+O+i1HE) (-

()*1 #E/J1 

GG >-1 (-*+H1H H(X(/h T/()(-*1/ GE- +S'1O T/EJ+-(-G+1 *EHE) OE) ()*1HE) I+-1-G+(/E) (- '-

P'(SE GEJTO(*E H( ()*1HE) I+-1-G+(/E) 

G! K>2> 3/ 8/52,4/ /+ /0 8?55-<> cG9 :+- /+4,.-. 8:/./ 85/3/+4-5 - 0>3 *>28>+/+4/3 ./ :4,0,.-. >

8)5.,.- ;- 3/- *>2> 8-54/ ./ :+ b+,*> /34-.> ,+4/=5-0 ./ 5/3:04-.>3 > :+ /34-.> ./ 5/3:04-.>3

3/8-5-.>F K:-+.> 3/ 85/3/+4- :+ /34-.> ./ 5/3:04-.>3 <>52-+.> 8-54/ ./ :+ D:/=> *>280/4> ./

/34-.>3 <,+-+*,/5>3 ./C/ 3/5 85/3/+4-.> ,+2/.,-4-2/+4/ -+4/3 ./0 /34-.> ,+4/=5-0 ./ 5/3:04-.>3

G# _:*@-3 /+4,.-./3 85/3/+4-+ -8-54/ ./ 0>3 /34-.>3 <,+-+*,/5>39 :+ -+?0,3,3 <,+-+*,/5> 85/8-5-.> 8>5

0- 1.2,+,345-*,6+ A:/ ./3*5,C/ ; /U80,*- 0-3 85,+*,8-0/3 *-5-*4/5Q34,*-3 ./ ./3/28/V> <,+-+*,/5>

; 3,4:-*,6+ <,+-+*,/5- ./ 0- /+4,.-. ; 0-3 ,+*/54,.:2C5/3 2?3 3,=+,<,*-4,B-3 A:/ /+<5/+4-F (-0

,+<>52/ 8:/./ ,+*0:,5 :+ -+?0,3,3 ./a

]-[ 0>3 85,+*,8-0/3 <-*4>5/3 / ,+<0:/+*,-3 A:/ ./4/52,+-+ /0 ./3/28/V> <,+-+*,/5>9

,+*0:;/+.> 0>3 *-2C,>3 /+ /0 /+4>5+> /+ A:/ >8/5- 0- /+4,.-.9 0- 5/38:/34- A:/ 0- /+4,.-. @-

.-.> - 4-0/3 *-2C,>3 ; 3: /</*4>9 -3Q *>2> 0- 8>0Q4,*- ./ ,+B/53,>+/3 A:/ 3,=:/ 8-5-

2-+4/+/5 ; 2/D>5-5 3: ./3/28/V> <,+-+*,/5>9 ,+*0:;/+.> 3: 8>0Q4,*- ./.,B,./+.>3X

]C[ 0-3 <:/+4/3 ./ <,+-+*,-2,/+4> ./ 0- /+4,.-.9 -3Q *>2> 3: >CD/4,B> 5/38/*4> -0

*>/<,*,/+4/ ./ ./:.-3 3>C5/ 8-45,2>+,>X ;

]*[ 0>3 5/*:53>3 ./ 0- /+4,.-. +> 5/<0/D-.>3 /+ /0 /34-.> ./ 3,4:-*,6+ <,+-+*,/5- ./

-*:/5.> *>+ 0-3 NZZ^F

G$ _:*@-3 /+4,.-./3 4-2C,)+ 85/3/+4-+9 /+ <>52- 3/8-5-.- - 3:3 /34-.>3 <,+-+*,/5>39 >45>3

,+<>52/3 ; /34-.>3 4-0/3 *>2> 0>3 5/0-4,B>3 - 0- ,+<>52-*,6+ 2/.,>-2C,/+4-0 > -0 /34-.> ./0

 B-0>5 -=5/=-.>9 8-54,*:0-52/+4/ /+ 3/*4>5/3 ,+.:345,-0/3 /+ A:/ 0>3 <-*4>5/3 2/.,> E

-2C,/+4-0/3 3>+ 3,=+,<,*-4,B>3 ; *:-+.> 0>3 /280/-.>3 3/ *>+3,./5-+ :+ ,28>54-+4/ =5:8> ./

:3:-5,>3F 734>3 ,+<>52/3 ; /34-.>39 85/3/+4-.>3 3/8-5-.-2/+4/ ./ 0>3 /34-.>3

<,+-+*,/5>39 /34?+ <:/5- ./0 -0*-+*/ ./ 0-3 NZZ^F

Page 174: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 174/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GI$

%1/1G*(/g)*+G1) S(-(/1O() 

./()(-*1G+,- /1iE-1XO( F G'JTO+J+(-*E GE- O1) #""L; 

G% 8E) ()*1HE) I+-1-G+(/E) T/()(-*1/h- /1iE-1XO(J(-*(N O1 )+*'1G+,- I+-1-G+(/1N (O

H()(JT({E I+-1-G+(/E F OE) IO'PE) H( (I(G*+0E H( '-1 (-*+H1H; &)*1 T/()(-*1G+,-

/1iE-1XO( (j+S( T/ETE/G+E-1/ O1 /(T/()(-*1G+,- I+(O H( OE) (I(G*E) H( O1) */1-)1GG+E-()N 1)g

GEJE H( E*/E) U(GUE) F GE-H+G+E-()N H( 1G'(/HE GE- O1) H(I+-+G+E-() F OE) G/+*(/+E) H(

/(GE-EG+J+(-*E H( 1G*+0E)N T1)+0E)N +-S/()E) F S1)*E) ()*1XO(G+HE) (- (O <1/GE %E-G(T*'1O;

:( T/()'J( f'( O1 1TO+G1G+,- H( O1) #""LN 1GEJT1{1H1 H( +-IE/J1G+,- 1H+G+E-1O G'1-HE

I'(/1 -(G()1/+EN /()'O*1/h (- ()*1HE) I+-1-G+(/E) f'( OES/1- T/ETE/G+E-1/ '-1 T/()(-*1G+,-

/1iE-1XO(; 

G& >-1 (-*+H1H G'FE) ()*1HE) I+-1-G+(/E) G'JTO1- GE- O1) #""L T/()(-*1/hN (- O1) -E*1)N

'-1 H(GO1/1G+,-N (jTOgG+*1 F )+- /()(/01)N H( H+GUE G'JTO+J+(-*E; >-1 (-*+H1H -E

H(GO1/1/h f'( OE) ()*1HE) I+-1-G+(/E) G'JTO(- GE- O1) #""L 1 J(-E) f'( G'JTO1- GE-

*EHE) OE) /(f'(/+J+(-*E) H( e)*1)F

GI 7+ 85?*4,*-2/+4/ 0- 4>4-0,.-. ./ 0>3 *-3>39 :+- /+4,.-. 0>=5- :+- 85/3/+4-*,6+ 5-O>+-C0/

*:280,/+.> *>+ 0-3 NZZ^ -80,*-C0/3F \+- 85/3/+4-*,6+ 5-O>+-C0/ 4-2C,)+ 5/A:,/5/ A:/ :+-

/+4,.-.a

]-[ 3/0/**,>+/ ; -80,A:/ 0-3 8>0Q4,*-3 *>+4-C0/3 ./ -*:/5.> *>+ 0- NZK c "#)3526+* 4#-5+8)/*@ 4+,82#*

/- )+* H*52,+62#-/* 4#-5+8)/* : H$$#$/*E 7+ 0- NZK c 3/ /34-C0/*/ :+- D/5-5A:Q- +>52-4,B-9

- *>+3,./5-5 8>5 0- 1.2,+,345-*,6+ /+ -:3/+*,- ./ :+- NZZ^ A:/ 3/ -80,A://38/*Q<,*-2/+4/ - :+- 8-54,.-F

]C[ 85/3/+4/ 0- ,+<>52-*,6+9 ,+*0:,.- 0- 5/</5/+4/ - 0-3 8>0Q4,*-3 *>+4-C0/39 ./ 2-+/5- A:/

3/- 8/54,+/+4/9 <,-C0/9 *>28-5-C0/ ; *>285/+3,C0/F

]*[ 85>8>5*,>+/ 5/B/0-*,>+/3 -.,*,>+-0/3 *:-+.> 0>3 5/A:/5,2,/+4>3 /U,=,.>3 8>5 0-3

NZZ^ 5/3:04/+ ,+3:<,*,/+4/3 8-5- 8/52,4,5 - 0>3 :3:-5,>3 *>285/+./5 /0 ,28-*4> ./

./4/52,+-.-3 45-+3-**,>+/39 -3Q *>2> ./ >45>3 @/*@>3 > *>+.,*,>+/39 3>C5/ 0-

3,4:-*,6+ ; /0 ./3/28/V> <,+-+*,/5> ./ 0- /+4,.-.F

Gc >-1 (-*+H1H -E H(X( GE//(S+/N TEOg*+G1) GE-*1XO() +-1T/ET+1H1)N f'( U1 '*+O+i1HEN F1 )(1

J(H+1-*( )' /(0(O1G+,- (- -E*1) E J1*(/+1O (jTO+G1*+0E;N 

GH &- O1 G+/G'-)*1-G+1 (j*/(J1H1J(-*( +-')'1O f'( O1 6HJ+-+)*/1G+,- GE-GO'F(/1 f'( G'JTO+/

GE- '- /(f'(/+J+(-*E ()*1XO(G+HE (- '-1 #""LN +-H'G+/g1 1 *1O S/1HE H( (//E/ f'(

(-*/1/g1 (- GE-IO+G*E GE- (O EXP(*+0E H( OE) ()*1HE) I+-1-G+(/E) ()*1XO(G+HE (- (O <1/GE

Page 175: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 175/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GI%

%E-G(T*'1ON O1 (-*+H1H -E OE 1TO+G1/hN )(Ss- )( ()*1XO(G( (- (O Th//1IE A`N )+(JT/( f'( (O

J1/GE /(S'O1*E/+E 1TO+G1XO( (j+P1N E X+(- -E T/EUgX1N *1O I1O*1 H( 1TO+G1G+,-; 

!P %'1-HE '-1 (-*+H1H -E G'JTO1 GE- '- /(f'(/+J+(-*E ()*1XO(G+HE H( '-1 #""L H(

1G'(/HE GE- (O Th//1IE 3^N /(0(O1/h O1 )+S'+(-*( +-IE/J1G+,-2 

]-[ f'( O1 6HJ+-+)*/1G+,- U1 OO(S1HE 1 O1 GE-GO')+,- f'( OE) ()*1HE) I+-1-G+(/E)

 T/()(-*1- /1iE-1XO(J(-*( O1 )+*'1G+,- F H()(JT({E I+-1-G+(/E F OE) IO'PE) H(

(I(G*+0Ez 

]C[ )( U1 G'JTO+HE GE- O1) #""L 1TO+G1XO()N (jG(T*E (- (O G1)E T1/*+G'O1/ H(O

/(f'(/+J+(-*E -E 1TO+G1HE T1/1 OES/1/ '-1 T/()(-*1G+,- /1iE-1XO(z 

]*[ (O *g*'OE H( O1 #""L f'( O1 (-*+H1H U1 H(P1HE H( 1TO+G1/N O1 -1*'/1O(i1 H(O

+-G'JTO+J+(-*E +-GO'F(-HE (O */1*1J+(-*E f'( O1 #""L /(f'(/+/g1 O1) /1iE-()

 TE/ O1) f'( ()( */1*1J+(-*E +-H'G+/g1 1 *1O S/1HE H( (//E/N f'( (-*/1/g1 (-

GE-IO+G*E GE- (O EXP(*+0E H( OE) ()*1HE) I+-1-G+(/E) ()*1XO(G+HE (- (O <1/GE

%E-G(T*'1ON F (O */1*1J+(-*E 1O*(/-1*+0E 1HET*1HEz F 

].[  T1/1 G1H1 T(/gEHE )EX/( (O f'( )( T/()(-*( H+GU1 +-IE/J1G+,-N (O (I(G*E

I+-1-G+(/E f'( U1F1 T/EH'G+HE O1 I1O*1 H( 1TO+G1G+,- H()G/+*1N )EX/( G1H1

 T1/*+H1 H( OE) ()*1HE) I+-1-G+(/E) f'( U1X/g1- )+HE T/()(-*1HE) G'JTO+(-HE GE-

(O /(f'(/+J+(-*E (- G'()*+,-; 

!G %'1-HE '-1 (-*+H1H U1 H(P1HE H( 1TO+G1/N (- '- T(/gEHE 1-*(/+E/N '- /(f'(/+J+(-*E

()*1XO(G+HE (- '-1 #""LN F *1O I1O*1 H( 1TO+G1G+,- 1I(G*1 1 OE) JE-*E) /(GE-EG+HE) (- OE)()*1HE) I+-1-G+(/E) H(O T(/gEHE 1G*'1ON )( /(0(O1/h O1 +-IE/J1G+,- ()*1XO(G+H1 (- (O Th//1IE 

A` bGR F bHR; 

!! 70 8?55-<> !G 3/ -80,*-5?9 8>5 /D/280>9 *:-+.> :+- /+4,.-. @-;- ./D-.> ./ *:280,59 /+ :+

8/5Q>.> -+4/5,>59 :+ 5/A:/5,2,/+4> /34-C0/*,.> /+ :+- NZZ^ 8-5- 0- B-0>5,O-*,6+ ./ -*4,B>3 >

8-3,B>39 ; /34- <-04- ./ -80,*-*,6+ -</*4- - 0- 2/.,*,6+ ./ 0>3 *-2C,>3 /+ -*4,B>3 ; 8-3,B>3

5/*>+>*,.>3 /+ 0>3 /34-.>3 <,+-+*,/5>3 ./0 8/5Q>.> -*4:-0F

!# &- G+/G'-)*1-G+1)N (j*/(J1H1J(-*( +-')'1O() f'( O1 6HJ+-+)*/1G+,- GE-GO'F( f'( G'JTO+/

GE- '- /(f'(/+J+(-*E ()*1XO(G+HE (- '-1 #""LN +-H'G+/g1 1 *1O S/1HE H( (//E/ f'(

(-*/1/g1 (- GE-IO+G*E GE- (O EXP(*+0E H( OE) ()*1HE) I+-1-G+(/E) ()*1XO(G+HE (- (O <1/GE

%E-G(T*'1ON  T(/E (O J1/GE /(S'O1*E/+E O( T/EU+X+(/1 H(P1/ H( 1TO+G1/ ()*(

/(f'(/+J+(-*EN O1 (-*+H1H H(X(/h /(H'G+/N (- O1 J(H+H1 H( OE TE)+XO(N 1f'(OOE) 1)T(G*E)

H( G'JTO+J+(-*E f'( T(/G+X1 GEJE G1')1-*() H( +-H'G+/ 1 (//E/N J(H+1-*( O1

Page 176: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 176/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GI&

/(0(O1G+,- H( O1 )+S'+(-*( +-IE/J1G+,-2

]-[ (O *g*'OE H( O1 #""L (- G'()*+,-N O1 -1*'/1O(i1 H(O /(f'(/+J+(-*EN 1)g GEJE O1

/1i,- TE/ O1 G'1O O1 6HJ+-+)*/1G+,- U1 OO(S1HE 1 O1 GE-GO')+,- f'( (O

G'JTO+J+(-*E H(O J+)JE +-H'G+/g1 1 *1O S/1HE H( (//E/ f'( (-*/1/g1 (-

GE-IO+G*E GE- (O EXP(*+0E H( OE) ()*1HE) I+-1-G+(/E) ()*1XO(G+HE (- (O <1/GE

%E-G(T*'1Oz F 

]C[  T1/1 G1H1 T(/gEHE T/()(-*1HEN OE) 1P')*() 1 G1H1 T1/*+H1 H( OE) ()*1HE)

I+-1-G+(/E) f'( O1 6HJ+-+)*/1G+,- U1 GE-GO'+HE f'( )(/g1- -(G()1/+E) T1/1

OES/1/ '-1 T/()(-*1G+,- /1iE-1XO(F

!$ M-5- 0>3 <,+/3 ./ 0>3 8?55-<>3 GH -0 !#9 :+- 8-54,.- ./ ,+<>52-*,6+ /+45-5Q- /+ *>+<0,*4> *>+ /0

>CD/4,B> ./ 0>3 /34-.>3 <,+-+*,/5>3 *:-+.> +> 5/85/3/+4- 5-O>+-C0/2/+4/ 0-3

45-+3-**,>+/39 -3Q *>2> 0>3 >45>3 @/*@>3 ; *>+.,*,>+/3 A:/ ./C,/5- 5/85/3/+4-59 > 8:.,/5-

5-O>+-C0/2/+4/ /38/5-53/ A:/ 5/85/3/+4-5? ;9 /+ *>+3/*:/+*,-9 <:/5- 85>C-C0/ A:/ ,+<0:;/5- /+

0-3 ./*,3,>+/3 /*>+62,*-3 4>2-.-3 8>5 0>3 :3:-5,>3 ./ 0>3 /34-.>3 <,+-+*,/5>3F 10 /B-0:-5 3, /0

*:280,2,/+4> ./ :+ 5/A:/5,2,/+4> /38/*Q<,*>9 /34-C0/*,.> /+ :+- NZZ^9 ,+.:*,5Q- - 4-0 =5-.>

./ /55>5 A:/ /+45-5Q- /+ *>+<0,*4> *>+ /0 >CD/4,B> ./ 0>3 /34-.>3 <,+-+*,/5>3

/34-C0/*,.> /+ /0 I+$6# 4#-6/?5'+)@ 0- 1.2,+,345-*,6+ *>+3,./5-5? 0>3 3,=:,/+4/3 -38/*4>3a

]-[ 8>5 A:) +> 3/ 0>=5- /0 >CD/4,B> ./ 0>3 /34-.>3 <,+-+*,/5>39 /+ 0- *,5*:+34-+*,-

8-54,*:0-5X ;

]C[ 0- <>52- ; 2/.,.- /+ A:/ 0-3 *,5*:+34-+*,-3 ./ 0- /+4,.-. .,<,/5/+ ./ 0-3 A:/ 3/ .-+ /+>45-3 /+4,.-./3 A:/ *:280/+ *>+ /0 5/A:/5,2,/+4> /+ *:/34,6+F W, >45-3 /+4,.-./3

*:280,/5-+ *>+ .,*@> 5/A:/5,2,/+4> /+ *,5*:+34-+*,-3 3,2,0-5/39 /U,34,5Q- 0-

85/3:+*,6+ 5/<:4-C0/ A:/ /0 *:280,2,/+4> ./0 5/A:/5,2,/+4>9 8>5 8-54/ ./ 0-

/+4,.-.9 +> ,+.:*,5Q- - 4-0 =5-.> ./ /55>5 A:/ /+45-5Q- /+ *>+<0,*4> *>+ /0 >CD/4,B> ./ 0>3

/34-.>3 <,+-+*,/5>3 /34-C0/*,.> /+ /0 I+$6# 4#-6/?5'+)E 

&JT/()1 (- J1/GU1 

!%  6O T/(T1/1/ OE) ()*1HE) I+-1-G+(/E)N O1 6HJ+-+)*/1G+,- (01O'1/h O1 G1T1G+H1H f'( *+(-( O1

(-*+H1H T1/1 GE-*+-'1/ (- I'-G+E-1J+(-*E GEJE '-1 (JT/()1 (- J1/GU1; >-1 (-*+H1H

 T/(T1/1/h ()*1HE) I+-1-G+(/E) )EX/( O1 X1)( H( '-1 (JT/()1 (- J1/GU1N 1 J(-E) f'( O1

 6HJ+-+)*/1G+,- T/(*(-H1 O+f'+H1/ O1 (-*+H1H E G()1/ (- )' 1G*+0+H1HN E -E *+(-( E*/1

1O*(/-1*+01 Jh) /(1O+)*1 f'( T/EG(H(/ H( '-1 H( ()*1) IE/J1); %'1-HE O1

 6HJ+-+)*/1G+,-N 1O /(1O+i1/ ()*1 (01O'1G+,-N ()*e GE-)G+(-*( H( O1 (j+)*(-G+1 H(

Page 177: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 177/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GII

+-G(/*+H'JX/() +JTE/*1-*()N /(O1*+01) 1 U(GUE) E GE-H+G+E-() f'( T'(H1- /()'O*1/ (-

H'H1) )+S-+I+G1*+01) )EX/( O1 G1T1G+H1H H( O1 (-*+H1H T1/1 GE-*+-'1/ GEJE '-1 (JT/()1

(- J1/GU1N O1 (-*+H1H T/EG(H(/h 1 /(0(O1/ ()1) +-G(/*+H'JX/(); %'1-HE '-1 (-*+H1H -E

 T/(T1/1 ()*1HE) I+-1-G+(/E) )EX/( O1 X1)( H( '-1 (JT/()1 (- J1/GU1 /(0(O1/h ()*( U(GUE

P'-*E GE- O1 X1)( f'( '*+O+i, T1/1 T/(T1/1/ OE) ()*1HE) I+-1-G+(/E)N 1)g GEJE O1) /1iE-()

 TE/ O1) f'( O1 (-*+H1H -E T'(H( )(/ GE-)+H(/1H1 GEJE '-1 (JT/()1 (- J1/GU1; 

!& 10 /B-0:-5 3, /0 3:8:/34> ./ /285/3- /+ 2-5*@- 5/3:04- -85>8,-.>9 0- 1.2,+,345-*,6+ 4/+.5? /+

*:/+4- 4>.- 0- ,+<>52-*,6+ A:/ /34) .,38>+,C0/ 8-5- /0 <:4:5>9 A:/ ./C/5? *:C5,5 -0 2/+>39 8/5>

+> 0,2,4-53/ -9 0>3 .>*/ 2/3/3 3,=:,/+4/3 - 8-54,5 ./0 *,/55/ ./0 8/5Q>.> 3>C5/ /0 *:-0 3/ /34?

,+<>52-+.>F 70 =5-.> ./ ./4-00/ ./ 0-3 *>+3,./5-*,>+/3 ./8/+./5? ./ 0>3 @/*@>3 A:/ 3/

85/3/+4/+ /+ *-.- *-3>F K:-+.> 0- /+4,.-. 4,/+/ :+ @,34>5,-0 ./ >8/5-*,6+ 5/+4-C0/9 -3Q *>2>

<-*,0,.-./3 ./ -**/3> - 5/*:53>3 <,+-+*,/5>39 0- /+4,.-. 8:/./ 00/=-5 - 0- *>+*0:3,6+ A:/

:4,0,O-5 0- C-3/ ./ /285/3- /+ 2-5*@- /3 0> -85>8,-.>9 3,+ 5/-0,O-5 :+ -+?0,3,3 /+

85><:+.,.-.F 7+ >45>3 *-3>39 0- 1.2,+,345-*,6+9 8:/./ +/*/3,4-5 *>+3,./5-5 :+- -280,- =-2- ./

<-*4>5/3 5/0-*,>+-.>3 *>+ 0- 5/+4-C,0,.-. -*4:-0 ; /38/5-.-9 /0 *-0/+.-5,> ./ 8-=>3 ./ ./:.-3 ;

0-3 <:/+4/3 8>4/+*,-0/3 ./ 3:34,4:*,6+ ./0 <,+-+*,-2,/+4> /U,34/+4/ -+4/3 A:/ 8:/.- 3-4,3<-*/53/

A:/ 0- C-3/ ./ /285/3- /+ 2-5*@- /3 -85>8,-.-F

%E-*1X+O+H1H )EX/( X1)( H(0(-S1H1 

!I  6 (jG(TG+,- H( O1 +-IE/J1G+,- )EX/( IO'PE) H( (I(G*+0EN '-1 (-*+H1H T/(T1/1/h )')

()*1HE) I+-1-G+(/E)N '*+O+i1-HE GE-*1X+O+H1H )EX/( X1)( H(0(-S1H1; !c K:-+.> 3/ /280/- 0- C-3/ ./B/+=-.-9 :+- /+4,.-. 5/*>+>*/ 8-54,.-3 *>2> -*4,B>39 8-3,B>39

8-45,2>+,>9 ,+=5/3>3 ; =-34>3 ]0>3 /0/2/+4>3 ./ 0>3 /34-.>3 <,+-+*,/5>3[9 *:-+.> 3-4,3<-=-+ 0-3

./<,+,*,>+/3 ; 0>3 *5,4/5,>3 ./ 5/*>+>*,2,/+4> 85/B,34>3 /+ /0  I+$6# 4#-6/?5'+) 8-5- 4-0/3

/0/2/+4>3F

"JTE/*1-G+1 /(O1*+01 F 1S/'T1G+,- H( H1*E) 

!H >-1 (-*+H1H H(X(/h T/()(-*1/ TE/ )(T1/1HE G1H1 GO1)( )+S-+I+G1*+01 H( T1/*+H1)

)+J+O1/(); 

>-1 (-*+H1H H(X(/h T/()(-*1/ TE/ )(T1/1HE O1) T1/*+H1) H( -1*'/1O(i1 E I'-G+,- H+)*+-*1N 1

J(-E) f'( -E )(1- )+S-+I+G1*+01); 

#P R>3 /34-.>3 <,+-+*,/5>3 5/3:04-+ ./0 85>*/3-2,/+4> ./ +:2/5>3-3 45-+3-**,>+/3 ; >45>3 @/*@>39 0-3

*:-0/3 3/ -=5:8-+ 8>5 *0-3/3 ./ -*:/5.> *>+ 3: +-4:5-0/O- > <:+*,6+F R- /4-8- <,+-0 /+ /0

85>*/3> ./ -=5:8-*,6+ ; *0-3,<,*-*,6+ /3 0- 85/3/+4-*,6+ ./ .-4>3 5/3:2,.>3 ; *0-3,<,*-.>39 A:/

Page 178: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 178/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GIc

*>+34,4:,5?+ /0 *>+4/+,.> ./ 0-3 8-54,.-3 /+ 0>3 /34-.>3 <,+-+*,/5>3F W, :+- 8-54,.- +> /3

3,=+,<,*-4,B- 8>5 3Q 3>0-9 3/ -=5/=-5? *>+ >45-3 8-54,.-39 ;- 3/- /+ /3>3 /34-.>3 > /+ 0-3 +>4-3F \+-

8-54,.- A:/ +> /3 3:<,*,/+4/2/+4/ 3,=+,<,*-4,B- *>2> 8-5- D:34,<,*-5 3: 85/3/+4-*,6+ 3/8-5-.-

/+ /3>3 /34-.>39 8:/./9 D:34,<,*-5 3: 85/3/+4-*,6+ 8>5 3/8-5-.> /+ 0-3 +>4-3F

#G \+- /+4,.-. +> +/*/3,4- 85>8>5*,>+-5 :+- 5/B/0-*,6+ 8>5 3/8-5-.> 5/A:/5,.- 8>5 :+- NZZ^ 3, 0-

,+<>52-*,6+ +> /3 3,=+,<,*-4,B-F

%EJT(-)1G+,- 

#! >-1 (-*+H1H -E GEJT(-)1/h 1G*+0E) F T1)+0E)N -+ +-S/()E) F S1)*E)N )1O0E G'1-HE O1

GEJT(-)1G+,- )(1 /(f'(/+H1 E ()*e T(/J+*+H1 TE/ '-1 #""L; 

## \+- /+4,.-. 85/3/+4- 8>5 3/8-5-.> 4-+4> -*4,B>3 ; 8-3,B>39 0>3 ,+=5/3>3 ; =-34>3F R-

*>28/+3-*,6+ /+ 0>3 /34-.>3 ,+4/=5-0/3 ./ 5/3:04-.>3 > ./ 3,4:-*,6+ <,+-+*,/5- > /+ :+ /34-.> ./

5/3:04-.>3 3/8-5-.> ]3, 3/ 85/3/+4-[9 /U*/84> *:-+.> 0- *>28/+3-*,6+ 5/<0/D- 0- /3/+*,- ./ 0-

45-+3-**,6+ : >45> @/*@>9 0,2,4- 0- *-8-*,.-. ./ 0>3 :3:-5,>39 4-+4> 8-5- *>285/+./5 0-3

45-+3-**,>+/39 >45>3 @/*@>3 ; *>+.,*,>+/3 A:/ @-+ >*:55,.> ; 8-5- /B-0:-5 0>3 <0:D>3 <:4:5>3 ./

/</*4,B> ./ 0- /+4,.-.F R- B-0>5,O-*,6+ ./ -*4,B>3 +/4>3 ./ 85>B,3,>+/3 *>280/2/+4-5,-3  –   8>5

/D/280>9 85>B,3,>+/3 8>5 >C3>0/3*/+*,- ./ /U,34/+*,-3 ; 85>B,3,>+/3 8>5 *:/+4-3 8>5 *>C5-5 ./

.:.>3>3 *>C5> +> /3 :+- *>28/+3-*,6+F

#$ 7+ 0- NZK Gc 0-1$/*#* T$.2-+$2#*@ 3/ ./<,+/ /0 *>+*/84> ./ ,+=5/3> >5.,+-5,> ; 3/ /U,=/

 B-0>5,O-50> 3/=b+ /0 B-0>5 D:34> ./ 0- *>+45-85/34-*,6+ 5/*,C,.- > 8>5 5/*,C,59 4/+,/+.> /+ *:/+4- /0

2>+4> ./ *:-0A:,/5 ./3*:/+4> *>2/5*,-0 ; 5/C-D-3 8>5 B>0:2/+ ./ B/+4-3 A:/ 3/-+8/52,4,.-3 8>5 0- /+4,.-.F \+- /+4,.-. 00/B-5? - *-C>9 /+ /0 *:53> +>52-0 ./ 3:3 -*4,B,.-./3

>5.,+-5,-39 >45-3 45-+3-**,>+/3 A:/ +> =/+/5-+ ,+=5/3>3 8/5> A:/ 3>+ 3/*:+.-5,-3 - 0-3

-*4,B,.-./3 >5.,+-5,-3 85,+*,8-0/3 A:/ =/+/5-+ ,+=5/3>3F \+- /+4,.-. 85/3/+4- 0>3 5/3:04-.>3 ./

4-0/3 45-+3-**,>+/3 *:-+.> )34- 85/3/+4-*,6+ 5/<0/D- 0- /3/+*,- ./ 0- 45-+3-**,6+ : >45>9

*>28/+3-+.> *:-0A:,/5 ,+=5/3> *>+ 0>3 =-34>3 -3>*,-.>3 5/3:04-+4/3 ./ 0- 2,32-

45-+3-**,6+9 8>5 /D/280>a

]-[ :+- /+4,.-. 85/3/+4- 0-3 =-+-+*,-3 ; 8)5.,.-3 8>5 0- /+-D/+-*,6+ > .,38>3,*,6+ 8>5

>45>3 2/.,>3 ./ -*4,B>3 +> *>55,/+4/39 ,+*0:;/+.> ,+B/53,>+/3 <,+-+*,/5-3 ; -*4,B>3

>8/5-*,>+-0/39 ./.:*,/+.>9 ./0 2>+4> 5/*,C,.> 8>5 0- B/+4- /0 B-0>5 ./ 0,C5>3 ./0

-*4,B> ; 0>3 =-34>3 ./ B/+4- *>55/38>+.,/+4/3X ;

]C[ :+- /+4,.-. 8:/./ *>28/+3-5 =-34>3 5/0-*,>+-.>3 *>+ :+- 85>B,3,6+ 5/*>+>*,.>3 ./

-*:/5.> *>+ 0- NZK #I "$#A2*2#-/*@ "+*2A#* 4#-52-1/-5/* : J652A#* 4#-52-1/-5/*@ A:/ @-;-+ 3,.>

Page 179: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 179/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GIH

5//2C>03-.>3 - 0- /+4,.-. *>2> *>+3/*:/+*,- ./ :+ -*:/5.> *>+45-*4:-0 *>+ 4/5*/5>3

]8>5 /D/280>9 :+ -*:/5.> ./ =-5-+4Q- ./ 85>.:*4>3 *:C,/54> 8>5 :+ 85>B//.>5[9

*>+45- /0 5//2C>03> 5/38/*4,B>F

#% 1./2?3 ./ 0> -+4/5,>59 :+- /+4,.-. 85/3/+4- /+ <>52- *>28/+3-.- 0-3 =-+-+*,-3 ; 8)5.,.-3 A:/

85>*/.-+ ./ :+ =5:8> ./ 45-+3-**,>+/3 3,2,0-5/39 8>5 /D/280>9 /+ /0 *-3> ./ =-+-+*,-3 ; 8)5.,.-3

/+ 2>+/.- /U45-+D/5-9 > C,/+ /+ /0 *-3> ./ =-+-+*,-3 ; 8)5.,.-3 ./5,B-.-3 ./ ,+345:2/+4>3

<,+-+*,/5>3 2-+4/+,.>3 8-5- +/=>*,-5F W,+ /2C-5=>9 :+- /+4,.-. 85/3/+4- 4-0/3 =-+-+*,-3 ;

8)5.,.-3 8>5 3/8-5-.> 3, 3>+ 3,=+,<,*-4,B>3F

L/(G'(-G+1 H( O1 +-IE/J1G+,- I+-1-G+(/1 

#& >-1 (-*+H1H T/()(-*1/h '- P'(SE GEJTO(*E H( ()*1HE) I+-1-G+(/E) b+-GO'F(-HE

+-IE/J1G+,- GEJT1/1*+01R TE/ OE J(-E) 1-'1OJ(-*(; %'1-HE '-1 (-*+H1H G1JX+( (O

G+(//( H(O T(/gEHE )EX/( (O G'1O +-IE/J1 F T/()(-*( ()*1HE) I+-1-G+(/E) TE/ '- T(/gEHE

Jh) O1/SE E J(-E) O1/SE f'( '- 1{EN '-1 (-*+H1H /(0(O1/hN 1H(Jh) H(O T(/gEHE G'X+(/*E

 TE/ OE) ()*1HE) I+-1-G+(/E)2 

]-[ O1 /1i,- TE/ '*+O+i1/ '- T(/gEHE Jh) O1/SE E J(-E) O1/SE F  

]C[ (O U(GUE f'( OE) JE-*E) T/()(-*1HE) (- OE) ()*1HE) I+-1-G+(/E) -E )E-

(-*(/1J(-*( GEJT1/1XO(); 

#I N>52-02/+4/9 :+- /+4,.-. 85/8-5- :+,<>52/2/+4/ /34-.>3 <,+-+*,/5>3 8>5 :+ 8/5Q>.> ./ :+

-V>F W,+ /2C-5=>9 8>5 5-O>+/3 85?*4,*-39 -0=:+-3 /+4,.-./3 85/<,/5/+ ,+<>52-59 8>5 /D/280>9 8>5

:+ 8/5Q>.> ./ %! 3/2-+-3F 734- N>52- +> /U*0:;/ /34- 85?*4,*-F"-IE/J1G+,- GEJT1/1*+01 

#c &jG(T*E G'1-HE O1) #""L T(/J+*1- E /(f'+(/1- E*/1 GE)1N '-1 (-*+H1H H(X(/h /(0(O1/

+-IE/J1G+,- GEJT1/1*+01 (- /(O1G+,- GE- (O T(/gEHE 1-*(/+E/ T1/1 *EHE) OE) JE-*E)

 T/()(-*1HE) (- OE) ()*1HE) I+-1-G+(/E) H(O T(/gEHE 1G*'1O; >-1 (-*+H1H +-GO'+/h

+-IE/J1G+,- GEJT1/1*+01 T1/1 +-IE/J1G+,- -1//1*+01 F H()G/+T*+01 G'1-HE )(1

/(O(01-*( T1/1 '-1 GEJT/(-)+,- H( OE) ()*1HE) I+-1-G+(/E) H(O T(/gEHE 1G*'1O; 

#H \+- /+4,.-. A:/ 5/B/0- ,+<>52-*,6+ *>28-5-4,B- 85/3/+4-5?9 *>2> 2Q+,2>9 .>3 /34-.>3 ./

3,4:-*,6+ <,+-+*,/5-9 .>3 ./ *-.- :+> ./ 0>3 >45>3 /34-.>3 ; 0-3 +>4-3 5/0-*,>+-.-3F K:-+.> :+-

/+4,.-. -80,*- :+- 8>0Q4,*- *>+4-C0/ 5/45>38/*4,B-2/+4/9 > /</*4b- :+- 5/E/U85/3,6+ 5/45>-*4,B- ./

8-54,.-3 /+ 3:3 /34-.>3 <,+-+*,/5>3 > *:-+.> 5/*0-3,<,*- 8-54,.-3 /+ 3:3 /34-.>3 <,+-+*,/5>39

85/3/+4-5?9 *>2> 2Q+,2>9 45/3 /34-.>3 ./ 3,4:-*,6+ <,+-+*,/5-9 .>3 ./ *-.- :+> ./ 0>3 >45>3 /34-.>3 ;

0-3 +>4-3 5/0-*,>+-.-3F \+- /+4,.-. 85/3/+4- /34-.>3 ./ 3,4:-*,6+ <,+-+*,/5- -0a

Page 180: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 180/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GcP

]-[ *,/55/ ./0 8/5Q>.> -*4:-0

]C[ *,/55/ ./0 8/5Q>.> -+4/5,>5 ]0> *:-0 /A:,B-0/ -0 *>2,/+O> ./0 8/5Q>.> -*4:-0[ ;

]*[ -0 *>2,/+O> ./0 8/5Q>.> *>28-5-4,B> 2?3 -+4,=:>

$P 7+ -0=:+>3 *-3>39 0- ,+<>52-*,6+ +-55-4,B- 85>8>5*,>+-.- /+ 0>3 /34-.>3 <,+-+*,/5>3 ./ 0>3

8/5Q>.>3 -+4/5,>5/39 *>+4,+b- 3,/+.> 5/0/B-+4/ /+ /0 8/5Q>.> -*4:-0F M>5 /D/280>9 :+- /+4,.-. 5/B/0- /+

/0 8/5Q>.> -*4:-0 0>3 ./4-00/3 ./ :+ 0,4,=,>9 *:;> ./3/+0-*/ /5- ,+*,/54> -0 *,/55/ ./0 8/5Q>.> 3>C5/ /0 *:-0

3/ ,+<>52- ,+2/.,-4-2/+4/ -+4/5,>59 ; /34? 4>.-BQ- 8>5 5/3>0B/5F R>3 :3:-5,>3 3/ C/+/<,*,-+ *>+

,+<>52-*,6+ A:/ 0- ,+*/54,.:2C5/ /U,34Q- -0 *,/55/ ./0 8/5Q>.> 3>C5/ /0 *:-0 3/ ,+<>52-

,+2/.,-4-2/+4/ -+4/5,>5 ; ./ 0>3 8-3>3 A:/ 3/ @-+ .-.> .:5-+4/ /0 8/5Q>.> -*4:-0 8-5- 45-4-5 ./

5/3>0B/5 0- ,+*/54,.:2C5/F

$G %'1-HE )( JEH+I+G1 O1 IE/J1 H( T/()(-*1G+,- E O1 GO1)+I+G1G+,- H( O1) T1/*+H1) (- )') ()*1HE)

I+-1-G+(/E)N O1 (-*+H1H /(GO1)+I+G1/h OE) JE-*E) GE//()TE-H+(-*() 1 O1 +-IE/J1G+,-

GEJT1/1*+01N 1 J(-E) f'( /()'O*( +JT/1G*+G1XO( U1G(/OE; %'1-HE O1 (-*+H1H /(GO1)+I+G1 OE)

JE-*E) GEJT1/1*+0E)N O1 (-*+H1H H(X(/h /(0(O1/2 

]-[ O1 -1*'/1O(i1 H( O1 /(GO1)+I+G1G+,- 

]C[ (O JE-*E H( G1H1 T1/*+H1 E GO1)( H( T1/*+H1) f'( )( U1- /(GO1)+I+G1HEz F 

]*[ (O JE*+0E H( O1 /(GO1)+I+G1G+,- 

$! %'1-HE /()'O*( +JT/1G*+G1XO( O1 /(GO1)+I+G1G+,- H( OE) JE-*E) GEJT1/1*+0E)N '-1 (-*+H1H

H(X(/h /(0(O1/2 

]-[ (O JE*+0E T1/1 -E /(GO1)+I+G1/ OE) JE-*E)z F ]C[ O1 -1*'/1O(i1 H( OE) 1P')*() f'( *(-H/g1- f'( U1X(/)( (I(G*'1HE )+ OE) JE-*E)

U'X+(/1- )+HE /(GO1)+I+G1HE); 

$# d/-0O-5 0- *>28-5-C,0,.-. ./ 0- ,+<>52-*,6+ /+45/ 8/5Q>.>3 -;:.- - 0>3 :3:-5,>3 /+ 0- 4>2- ./

./*,3,>+/3 /*>+62,*-39 /38/*,-02/+4/ -0 8/52,4,5 0- /B-0:-*,6+ ./ 4/+./+*,-3 /+ 0-

,+<>52-*,6+ <,+-+*,/5- *>+ 85>863,4>3 85/.,*4,B>3F 7+ -0=:+-3 *,5*:+34-+*,-39 5/3:04-

,285-*4,*-C0/ 5/*0-3,<,*-5 0- ,+<>52-*,6+ *>28-5-4,B- ./ 8/5Q>.>3 -+4/5,>5/3 8-5- *>+3/=:,5 0-

*>28-5-C,0,.-. *>+ 0>3 2>+4>3 ./0 8/5Q>.> -*4:-0F M>5 /D/280>9 :+- /+4,.-. 8:/./ +> @-C/5

5/*>8,0-.> .-4>39 /+ 8/5Q>.>3 -+4/5,>5/39 ./ <>52- A:/ 8/52,4-+ 3/5 5/*0-3,<,*-.>3 ; 8:/./ 3/5

,285-*4,*-C0/ 5/*5/-5 0- ,+<>52-*,6+F

$$ R- NZK c /34-C0/*/ 0>3 -D:34/3 - 5/-0,O-5 - 0- ,+<>52-*,6+ *>28-5-4,B-9 *:-+.> :+- /+4,.-.

*-2C,- :+- 8>0Q4,*- *>+4-C0/ > *>55,=/ :+ /55>5F

Page 181: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 181/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GcG

>-+IE/J+H1H (- O1 T/()(-*1G+,- 

$% >-1 (-*+H1H J1-*(-H/h O1 T/()(-*1G+,- F GO1)+I+G1G+,- H( O1) T1/*+H1) (- OE)

()*1HE) I+-1-G+(/E) H( '- T(/gEHE 1 E*/E 1 J(-E) f'(2  

]-[ () 1T1/(-*(N H()T'e) H( '- G1JX+E )+S-+I+G1*+0E (- O1 -1*'/1O(i1 H( O1)

ET(/1G+E-() H( O1 (-*+H1H E H( '-1 /(0+)+,- H( )') ()*1HE) I+-1-G+(/E)N f'( E*/1

 T/()(-*1G+,- E GO1)+I+G1G+,- )(/g1- Jh) 1T/ET+1HE) *EJ1-HE (- GE-)+H(/1G+,-

OE) G/+*(/+E) T1/1 O1 )(O(GG+,- F 1TO+G1G+,- H( TEOg*+G1) GE-*1XO() (- O1 #"% [z E  

]C[ '-1 #""L /(f'+(/( '- G1JX+E H( T/()(-*1G+,-; 

$& M>5 /D/280>9 :+- -.A:,3,*,6+ > /+-D/+-*,6+ 3,=+,<,*-4,B- > :+- 5/B,3,6+ ./ 0- 85/3/+4-*,6+ ./ 0>3

/34-.>3 <,+-+*,/5>39 8:/./+ 3:=/5,5 A:/ 0>3 /34-.>3 <,+-+*,/5>3 +/*/3,4-+ 3/5 85/3/+4-.>3 /+

<>52- .,34,+4-F \+- /+4,.-. *-2C,- 0- 85/3/+4-*,6+ ./ 3:3 /34-.>3 <,+-+*,/5>3 360> 3, 0- +:/B-

85/3/+4-*,6+ 85>8>5*,>+- ,+<>52-*,6+ A:/ /3 <,-C0/ ; 2?3 5/0/B-+4/ 8-5- 0>3 :3:-5,>3 ./ 0>3

/34-.>3 <,+-+*,/5>3 ; 0- /345:*4:5- 2>.,<,*-.- /3 85>C-C0/ A:/ *>+4,+b/9 8-5- A:/ 0-

*>28-5-C,0,.-. +> 3/ B/- 8/5D:.,*-.-F 10 /</*4:-5 4-0/3 *-2C,>3 /+ 0- 85/3/+4-*,6+9 :+-

/+4,.-. 5/*0-3,<,*- 3: ,+<>52-*,6+ *>28-5-4,B- ./ -*:/5.> *>+ 0>3 8?55-<>3 $G ; $!F

&)*/'G*'/1 F GE-*(-+HE 

"-*/EH'GG+,- 

$I 734- N>52- 5/A:,/5/ A:/ ./4/52,+-.-3 5/B/0-*,>+/3 3/ 85/3/+4/+ /+ /0 /34-.> ./ 3,4:-*,6+ > /+

/0 /34-.> ,+4/=5-0 ./ 5/3:04-.>3 3/8-5-.> ]3, 3/ 85/3/+4-[ > /+ /0 /34-.> ./ *-2C,>3 /+ /0

8-45,2>+,> ; 5/A:,/5/ 0- 5/B/0-*,6+ ./ >45-3 8-54,.-3 ;- 3/- /+ /3>3 /34-.>3 <,+-+*,/5>3 > /+ 0-3

+>4-3F R- NZK I  H*5+.# ./ S)'G#* ./ H9/652A# /34-C0/*/ 0>3 5/A:/5,2,/+4>3 8-5- 0- 85/3/+4-*,6+ ./ 0-

,+<>52-*,6+ ./ <0:D>3 ./ /</*4,B>F

$c 7+ /34- N>52- 3/ :4,0,O- /+ >*-3,>+/3 /0 4)52,+> ―,+<>52-*,6+ - 5/B/0-5‖  /+ 3: 2?3 -280,>

3/+4,.>9 ,+*0:;/+.> 0-3 8-54,.-3 85/3/+4-.-3 /+ 0>3 /34-.>3 <,+-+*,/5>3F e45-3 NZZ^ 5/A:,/5/+

4-2C,)+ ./ 5/B/0-*,>+/3 1 2/+>3 A:/ 3/ /38/*,<,A:/ 0> *>+45-5,> /+ >45- 8-54/ ./ /34-

N>52- > /+ >45- NZZ^9 4-0/3 5/B/0-*,>+/3 8:/./+ 3/5 /</*4:-.-3 /+ 0>3 /34-.>3 <,+-+*,/5>3F

"H(-*+I+G1G+,- H( OE) ()*1HE) I+-1-G+(/E) 

$H >-1 (-*+H1H H(X(/h +H(-*+I+G1/ GO1/1J(-*( 1 OE) ()*1HE) I+-1-G+(/E) F H+)*+-S'+/OE) H(

E*/1 +-IE/J1G+,- T'XO+G1H1 (- (O J+)JE HEG'J(-*E; 

%P R-3 NZZ^ 3>+ -80,*-C0/3 b+,*-2/+4/ - /34-.>3 <,+-+*,/5>39 ; +> +/*/3-5,-2/+4/ - >45-

,+<>52-*,6+ 85/3/+4-.- /+ :+ ,+<>52/ -+:-09 :+- 85/3/+4-*,6+ - :+ >5=-+,32> 5/=:0-.>5 :

Page 182: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 182/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) Gc!

>45> .>*:2/+4>F M>5 0> 4-+4>9 /3 ,28>54-+4/ A:/ 0>3 :3:-5,>3 3/-+ *-8-*/3 ./ .,34,+=:,5 0-

,+<>52-*,6+ A:/ 3/ 85/8-5- :4,0,O-+.> 0-3 NZZ^9 ./ *:-0A:,/5 >45> 4,8> ./ ,+<>52-*,6+ A:/9

8:/.- 3/5 b4,0 8-5- 0>3 :3:-5,>3 8/5> A:/ +> /34? 3:D/4- - /3>3 5/A:/5,2,/+4>3F

%G >-1 (-*+H1H H(X(/h +H(-*+I+G1/ GO1/1J(-*( G1H1 ()*1HE I+-1-G+(/E F O1) -E*1); 6H(Jh)N

'-1 (-*+H1H JE)*/1/h O1 )+S'+(-*( +-IE/J1G+,- (- O'S1/ H()*1G1HEN F )( /(T(*+/h

G'1-*1) 0(G() )(1 -(G()1/+E T1/1 '-1 GE//(G*1 GEJT/(-)+,- H( O1 +-IE/J1G+,-

 T/()(-*1H1a

]-[ (O -EJX/(N ' E*/E *+TE H( +H(-*+I+G1G+,-N H( O1 (-*+H1H f'( T/()(-*1 O1

+-IE/J1G+,-N 1)g GEJE G'1Of'+(/ G1JX+E (- ()1 +-IE/J1G+,- H()H( (O G+(//( H(O 

 T(/gEHE 1-*(/+E/ )EX/( (O G'1O )( +-IE/J1z 

]C[ )+ OE) ()*1HE) I+-1-G+(/E) T(/*(-(G(- 1 '-1 (-*+H1H +-H+0+H'1O E 1 '- S/'TE H(

(-*+H1H()z 

]*[ O1 I(GU1 H( G+(//( H(O T(/gEHE )EX/( O1 G'1O )( +-IE/J1 E (O T(/gEHE G'X+(/*E TE/ (O

P'(SE H( OE) ()*1HE) I+-1-G+(/E) E -E*1)z 

].[ O1 JE-(H1 H( T/()(-*1G+,-N *1O F GEJE )( H(I+-( (- O1 #"% A3z F 

]/[ (O -+0(O H( /(HE-H(E '*+O+i1HE 1O T/()(-*1/ OE) JE-*E) (- OE) ()*1HE)

I+-1-G+(/E); 

%! \+- /+4,.-. *:280/ *>+ 0>3 5/A:/5,2,/+4>3 /U,=,.>3 /+ /0 8?55-<> %G -0 85/3/+4-5

-85>8,-.>3 /+*-C/O-2,/+4>3 ./ 0-3 8?=,+-39 /34-.>39 +>4-39 *>0:2+-3 ; >45>3 73 +/*/3-5,- 0-

:4,0,O-*,6+ ./ /0/2/+4>3 ./ D:,*,> 8-5- ./4/52,+-5 0- 2/D>5 2-+/5- ./ 85/3/+4-5 /34-,+<>52-*,6+F M>5 /D/280>9 *:-+.> :+- /+4,.-. 85/3/+4- 0>3 /34-.>3 <,+-+*,/5>3

/0/*456+,*-2/+4/ +> 3,/285/ /34?+ 3/8-5-.>3 /+ 8?=,+-3X 8>5 /00> :+- /+4,.-. 85/3/+4- 0-3

8-54,.-3 -55,C- 2/+*,>+-.-3 8-5- -3/=:5-5 A:/ 0- ,+<>52-*,6+ ,+*0:,.- /+ 0>3 /34-.>3

<,+-+*,/5>3 8:/./ 3/5 *>285/+.,.-F

%# 1 2/+:.> :+- /+4,.-. @-*/ A:/ 0>3 /34-.>3 <,+-+*,/5>3 3/-+ 2?3 *>285/+3,C0/3

85/3/+4-+.> 0- ,+<>52-*,6+ /+ 2,0/3 > 2,00>+/3 ./ :+,.-./3 2>+/4-5,-3 ./ 0- 2>+/.- ./

85/3/+4-*,6+F 734> /3 -*/84-C0/ /+ 0- 2/.,.- A:/ 0- /+4,.-. ,+<>52/ 3>C5/ /0 +,B/0 ./

5/.>+./> ./ 0>3 2>+4>3 ; +> >2,4- ,+<>52-*,6+ 3,=+,<,*-4,B-F

&)*1HE H( )+*'1G+,- I+-1-G+(/1 

"-IE/J1G+,- 1 )(/ T/()(-*1H1 (- (O ()*1HE H( )+*'1G+,- I+-1-G+(/1 

%$ %EJE Jg-+JEN (O ()*1HE H( )+*'1G+,- I+-1-G+(/1 +-GO'+/h Og-(1) ()T(GgI+G1) f'(

GE-*(-S1- OE) JE-*E) H( O1) )+S'+(-*() T1/*+H1)2 

Page 183: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 183/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) Gc#

]-[ 1G*+0E) I+PE)z 

]C[  T/ET+(H1H() H( +-0(/)+,-z 

]*[ 1G*+0E) +-*1-S+XO()z 

].[ 1G*+0E) I+-1-G+(/E) b(jGO'+HE) OE) J(-G+E-1HE) (- b(RN bUR ( b+RRz 

]/[ +-0(/)+E-() GE-*1X+O+i1H1) 1TO+G1-HE (O Je*EHE H(O 01OE/ T1*/+JE-+1Oz 

]<[ 1G*+0E) X+EO,S+GE)z 

]=[ (j+)*(-G+1)z 

]@[ H('HE/() GEJ(/G+1O() F E*/1) G'(-*1) 1 GEX/1/z 

],[ (I(G*+0E F (I(G*+0E (f'+01O(-*(z 

]D[ (O *E*1O H( 1G*+0E) GO1)+I+G1HE) GEJE J1-*(-+HE) T1/1 O1 0(-*1 F

1G*+0E) +-GO'+HE) (- OE) S/'TE) H( (-1P(-1G+,- GO1)+I+G1HE) GEJE J1-*(-+HE)

 T1/1 O1 0(-*1 H( 1G'(/HE GE- O1 #""L Q 6G*+0E) -E %E//+(-*() <1-*(-+HE)

 T1/1 O1 C(-*1 F 4T(/1G+E-() $()GE-*+-'1H1); 

]|[ 1G/((HE/() GEJ(/G+1O() F E*/1) G'(-*1) TE/ T1S1/z 

]0[  T/E0+)+E-()z 

]2[  T1)+0E) I+-1-G+(/E) b(jGO'F(-HE OE) JE-*E) JE)*/1HE) (- b|R F bORRz 

]+[  T1)+0E) F 1G*+0E) TE/ +JT'()*E) GE//+(-*()N )(Ss- f'(H1- H(I+-+HE) (- O1

#"% 3A "JT'()*E) 1 O1 =(-*1  

]>[  T1)+0E) F 1G*+0E) TE/ +JT'()*E) H+I(/+HE)N )(Ss- )( H(I+-( (- O1 #"% 3Az 

]8[  T1)+0E) +-GO'+HE) (- S/'TE) H( (-1P(-1G+,- GO1)+I+G1HE) GEJE J1-*(-+HE) T1/1O1 0(-*1 H( 1G'(/HE GE- O1 #""L Q; 

]A[ +-*(/e) -E GE-*/EO1HE/N T/()(-*1HE H(-*/E H(O T1*/+JE-+Ez F 

]5[ G1T+*1O (J+*+HE F /()(/01) 1*/+X'+XO() 1 OE) H'({E) H( O1 <1*/+i;

%% >-1 (-*+H1H H(X(/h T/()(-*1/ 1H+G+E-1OJ(-*( Og-(1) ()T(GgI+G1) T1/1 T1/*+H1)N

(-G1X(i1J+(-*E) F )'X*E*1O() (- (O ()*1HE H( )+*'1G+,- I+-1-G+(/1 G'1-HE *1O

 T/()(-*1G+,- )(1 /(O(01-*( T1/1 O1 GEJT/(-)+,- H( O1 )+*'1G+,- I+-1-G+(/1 H( O1

(-*+H1H; 

%& %'1-HE '-1 (-*+H1H T/()(-*1 OE) 1G*+0E) GE//+(-*() F -E GE//+(-*() F OE) T1)+0E)

GE//+(-*() F -E GE//+(-*() GEJE GO1)+I+G1G+E-() )(T1/1H1) (- )' ()*1HE H( )+*'1G+,-

I+-1-G+(/1N -E GO1)+I+G1/h OE) 1G*+0E) bE T1)+0E)R TE/ +JT'()*E) H+I(/+HE) GEJE 1G*+0E) bE

 T1)+0E)R GE//+(-*() 

%I 734- N>52- +> 5/*>2,/+.- /0 >5./+ > /0 <>52-4> /+ A:/ 0- /+4,.-. 85/3/+4- 0-3 8-54,.-3F 70

Page 184: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 184/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) Gc$

8?55-<> %$ 3/ 0,2,4- - 85>8>5*,>+-5 :+- 0,34- ./ 8-54,.-3 0> 3:<,*,/+4/2/+4/ .,</5/+4/39 /+ 3:

+-4:5-0/O- > <:+*,6+9 *>2> 8-5- 5/A:/5,5 :+- 85/3/+4-*,6+ 8>5 3/8-5-.> /+ /0 /34-.> ./

3,4:-*,6+ <,+-+*,/5-F 1./2?3a

]-[ 3/ ,+*0:;/+ 0Q+/-3 ./ 8-54,.-3 *:-+.> /0 4-2-V>9 +-4:5-0/O- > <:+*,6+ ./ :+- 8-54,.- >

=5:8> ./ 8-54,.-3 3,2,0-5/3 3/- 4-0 A:/ 0- 85/3/+4-*,6+ 8>5 3/8-5-.> 5/3:04/

5/0/B-+4/ 8-5- *>285/+./5 0- 3,4:-*,6+ <,+-+*,/5- ./ 0- /+4,.-.X ;

]C[ 0-3 ./3*5,8*,>+/3 :4,0,O-.-3 ; /0 >5./+ ./ 0-3 8-54,.-3 > =5:8>3 ./ 8-54,.-3 3,2,0-5/3

8:/./+ 3/5 2>.,<,*-.-3 ./ -*:/5.> *>+ 0- +-4:5-0/O- ./ 0- /+4,.-. ; ./ 3:3

45-+3-**,>+/39 *>+ /0 <,+ ./ 85>8>5*,>+-5 0- ,+<>52-*,6+ A:/ 3/- 5/0/B-+4/ 8-5- :+-

*>285/+3,6+ ./ 0- 3,4:-*,6+ <,+-+*,/5- ./ 0- /+4,.-.F M>5 /D/280>9 :+- ,+34,4:*,6+

<,+-+*,/5- 8:/./ 2>.,<,*-5 0-3 ./3*5,8*,>+/3 -+4/5,>5/3 *>+ /0 <,+ ./ 85>B//5

,+<>52-*,6+ A:/ 3/- 5/0/B-+4/ 8-5- 0-3 >8/5-*,>+/3 ./ :+- ,+34,4:*,6+ <,+-+*,/5-F

%c \+- /+4,.-. ./*,./ 85/3/+4-5 8-54,.-3 -.,*,>+-0/3 8>5 3/8-5-.> C-3?+.>3/ /+ :+- /B-0:-*,6+ ./a

]-[ 0- +-4:5-0/O- ; 0,A:,./O ./ 0>3 -*4,B>3X

]C[ 0- <:+*,6+ ./ 0>3 -*4,B>3 ./+45> ./ 0- /+4,.-.X ;

]*[ 0>3 2>+4>39 0- +-4:5-0/O- ; /0 80-O> ./ 0>3 8-3,B>3F

%H 70 /280/> ./ .,</5/+4/3 C-3/3 ./ B-0>5,O-*,6+ 8-5- .,34,+4-3 *0-3/3 ./ -*4,B>3 3:=,/5/ A:/ 3:

+-4:5-0/O- > <:+*,6+ .,<,/5/+ ;9 8>5 0> 4-+4>9 :+- /+4,.-. 0>3 85/3/+4- *>2> 8-54,.-3 /+

0Q+/-3 3/8-5-.-3F M>5 /D/280>9 *,/54-3 *0-3/3 ./ -*4,B>3 <,D>3 8:/./+ 3/5 *>+4-C,0,O-.-3 -0 *>34>

@,3465,*>9 > 8>5 3:3 2>+4>3 5/B-0>5,O-.>39 ./ -*:/5.> *>+ 0- NZK G&F$+I(/(-G+1 (-*/( GE//+(-*( F -E GE//+(-*( 

&P >-1 (-*+H1H T/()(-*1/h )') 1G*+0E) GE//+(-*() F -E GE//+(-*() F )') T1)+0E) GE//+(-*() F

-E GE//+(-*()N GEJE GO1)+I+G1G+E-() )(T1/1H1) (- )' ()*1HE H( )+*'1G+,- I+-1-G+(/1N H(

1G'(/HE GE- OE) Th//1IE) VV 1O YVN (jG(T*E G'1-HE '-1 T/()(-*1G+,- X1)1H1 (- (O S/1HE

H( O+f'+H(i T/ETE/G+E-(N +-IE/J1G+,- I+1XO( F Jh) /(O(01-*(; %'1-HE () 1TO+G1XO( *1O

(jG(TG+,-N '-1 (-*+H1H H(X(/h T/()(-*1/ *EHE) OE) 1G*+0E) F T1)+0E) (- X1)( 1O S/1HE H(

O+f'+H(i;

&G %'1Of'+(/1 f'( I'(/1 (O Je*EHE H( T/()(-*1G+,- f'( )( 1HET*(N '-1 (-*+H1H /(0(O1/h (O

JE-*E f'( )( ()T(/1 /(G'T(/1/ E T1S1/ H()T'e) H( HEG( J()() T1/1 G1H1 Og-(1 H(

 T1/*+H1) H( 1G*+0E F T1)+0E f'( GEJX+-( OE) JE-*E) f'( )( ()T(/1- /(G'T(/1/ E T1S1/2 

]-[ -E Jh) 1OOh H( HEG( J()() H()T'e) H(O T(/gEHE )EX/( (O G'1O )( +-IE/J1N F 

]C[ 1 Jh) H( HEG( J()() H()T'e) H(O T(/gEHE )EX/( (O G'1O )( +-IE/J1; 

Page 185: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 185/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) Gc%

&! K:-+.> :+- /+4,.-. 85>8>5*,>+/ C,/+/3 > 85/34/ 3/5B,*,>3 ./+45> ./ :+ *,*0> ./ >8/5-*,6+

*0-5-2/+4/ ,./+4,<,*-C0/9 0- 3/8-5-*,6+ /+45/ 0-3 8-54,.-3 *>55,/+4/3 ; +> *>55,/+4/39 4-+4> /+ /0

-*4,B> *>2> /+ /0 /34-.> ./ 3,4:-*,6+ <,+-+*,/5-9 85>8>5*,>+- ,+<>52-*,6+ b4,0 -0 .,34,+=:,5 0>3

-*4,B>3 +/4>3 ./ :3> *>+4,+:> *>2> *-8,4-0 ./ 45-C-D> ./ -A:/00>3 :4,0,O-.>3 /+ 0-3 >8/5-*,>+/3 -

0-5=> 80-O>F (-2C,)+ ./34-*- 0>3 -*4,B>3 A:/ 3/ /38/5- 5/-0,O-5 /+ /0 45-+3*:53> ./0 *,*0>

+>52-0 ./ 0- >8/5-*,6+9 *>2> 0>3 8-3,B>3 A:/ 3/ ./C-+ 8-=-5 /+ /0 2,32> 8/5Q>.>F

&# M-5- -0=:+-3 /+4,.-./39 4-0/3 *>2> 0-3 <,+-+*,/5-39 0- 85/3/+4-*,6+ ./ -*4,B>3 ; 8-3,B>3 /+

>5./+ -3*/+./+4/ > ./3*/+./+4/ ./ 0,A:,./O9 85>8>5*,>+- ,+<>52-*,6+ A:/ /3 <,-C0/ ; 2?3

5/0/B-+4/ A:/ 0- 85/3/+4-*,6+ /+45/ *>55,/+4/ ; +> *>55,/+4/9 ./C,.> - A:/ 0- /+4,.-. +>

85>8>5*,>+- C,/+/3 > 85/34- 3/5B,*,>3 ./+45> ./ :+ *,*0> ./ >8/5-*,6+ *0-5-2/+4/ ,./+4,<,*-C0/F

&$ 10 -80,*-5 /0 8?55-<> &P9 3/ 8/52,4/ A:/ 0- /+4,.-. 85/3/+4/ -0=:+>3 ./ 3:3 -*4,B>3 ; 8-3,B>3

/280/-+.> 0- *0-3,<,*-*,6+ *>55,/+4/ ; +> *>55,/+4/9 ; >45>3 /+ >5./+ - 3: 0,A:,./O9 *:-+.> /00>

85>8>5*,>+/ ,+<>52-*,6+ A:/ /3 <,-C0/ ; 2?3 5/0/B-+4/F R- +/*/3,.-. ./ 2/O*0-5 0-3 C-3/3 ./

85/3/+4-*,6+ 8>.5Q- 3:5=,5 *:-+.> :+- /+4,.-. 5/-0,*/ -*4,B,.-./3 .,</5/+4/3F

&% Z+<>52-*,6+ 3>C5/ 0- </*@- /38/5-.- ./ 5/*:8/5-*,6+ ./ -*4,B>3 ; 8-3,B>3 /3 b4,0 8-5-

/B-0:-5 0- 0,A:,./O ; 3>0B/+*,- ./ :+- /+4,.-.F R- NZZ^ I 0-*5$',/-5#* S2-+-62/$#*Q  U/A/)+627-

5/A:,/5/ 5/B/0-5 0-3 </*@-3 ./ B/+*,2,/+4> ./ 0>3 -*4,B>3 <,+-+*,/5>3 ; 8-3,B>3 <,+-+*,/5>3F R>3

-*4,B>3 <,+-+*,/5>3 ,+*0:;/+ ./:.>5/3 *>2/5*,-0/3 ; >45-3 *:/+4-3 8>5 *>C5-5 ; 0>3 8-3,B>3

<,+-+*,/5>3 ,+*0:;/+ -*5//.>5/3 *>2/5*,-0/3 ; >45-3 *:/+4-3 8>5 8-=-5F Z+<>52-*,6+ 3>C5/ 0-

</*@- /38/5-.- ./ 0- 5/*:8/5-*,6+ ./ -*4,B>3 +> 2>+/4-5,>3 4-0/3 *>2> 0-3 /U,34/+*,-3 ; 0-</*@- /38/5-.- 8-5- /0 8-=> ./ 8-3,B>3 4-0/3 *>2> 85>B,3,>+/39 /3 4-2C,)+ b4,09 ;- 3/- A:/

0>3 -*4,B>3 ; 8-3,B>3 /34)+ *0-3,<,*-.>3 *>2> *>55,/+4/3 > *>2> +> *>55,/+4/3F M>5 /D/280>9 :+-

/+4,.-. 5/B/0- /0 2>+4> ./ 0-3 /U,34/+*,-3 A:/ /38/5- 5/*:8/5-5 /+ :+ 80-O> 3:8/5,>5 - .>*/

2/3/3 ./38:)3 ./0 8/5Q>.> 3>C5/ /0 *:-0 3/ ,+<>52-F

 6G*+0E) GE//+(-*() 

&& >-1 (-*+H1H GO1)+I+G1/h 1 '- 1G*+0E GEJE GE//+(-*( G'1-HE2 

]-[ )( ()T(/1 /(1O+i1/N 0(-H(/ E GE-)'J+/ 1O 1G*+0EN (- (O */1-)G'/)E H(O G+GOE

-E/J1O H( O1 ET(/1G+,- H( O1 (-*+H1Hz 

]C[ (O 1G*+0E )( J1-*(-S1 I'-H1J(-*1OJ(-*( GE- I+-() H(

GEJ(/G+1O+i1G+,-z

]*[ )( ()T(/1 /(1O+i1/ 1O 1G*+0E H(-*/E H(O T(/gEHE H( OE) HEG( J()() TE)*(/+E/() 1 O1

I(GU1 H(O T(/gEHE )EX/( (O G'1O )( +-IE/J1z E 

Page 186: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 186/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) Gc&

].[ )( */1*( H( (I(G*+0E ' E*/E (I(G*+0E (f'+01O(-*( b*1O F GEJE )( H(I+-( (- O1

#"%  Y R 1 J(-E) f'( )' '*+O+i1G+,- ()*e /()*/+-S+H1N T1/1 )(/ +-*(/G1JX+1HE E

')1HE T1/1 T1S1/ '- T1)+0EN TE/ 1O J(-E) OE) HEG( J()() H()T'e) H(O T(/gEHE

)EX/( (O G'1O )( +-IE/J1; 

>-1 (-*+H1H H(X(/h GO1)+I+G1/ 1 *EHE) OE) H(Jh) 1G*+0E) GEJE -E GE//+(-*(); 

&I 7+ /34- N>52-9 /0 4)52,no ―n>E*>55,/+4/‖ ,+*0:;/ -*4,B>3 4-+=,C0/39 ,+4-+=,C0/3 ; <,+-+*,/5>3 A:/

8>5 3: +-4:5-0/O- 3/-+ - 0-5=> 80-O>F N> /34? 85>@,C,.> /0 :3> ./ ./3*5,8*,>+/3

-04/5+-4,B-3 3,/285/ A:/ 3: 3,=+,<,*-.> A:/./ *0-5>F

&c 70 *,*0> >8/5-*,>+-0 ./ :+- /+4,.-. /3 /0 8/5Q>.> ./ 4,/28> A:/ 45-+3*:55/ /+45/ 0-

-.A:,3,*,6+ ./ 0>3 -*4,B>39 A:/ /+45-+ /+ /0 85>*/3> 85>.:*4,B>9 ; 3: 5/-0,O-*,6+ /+ <>52- ./

/</*4,B> > /</*4,B> /A:,B-0/+4/F K:-+.> /0 *,*0> +>52-0 ./ >8/5-*,6+ ./ :+- /+4,.-. +> /3

*0-5-2/+4/ ,./+4,<,*-C0/9 3/ 85/3:2,5? A:/ /3 ./ .>*/ 2/3/3F 70 -*4,B> *>55,/+4/ ,+*0:;/

-*4,B>3 ]4-0/3 *>2> /U,34/+*,-3 ; ./:.>5/3 *>2/5*,-0/3[ A:/ 3/ B-+ - B/+./59 *>+3:2,5 >

5/-0,O-5 ./+45> ./0 *,*0> +>52-0 ./ 0- >8/5-*,6+9 ,+*0:3> *:-+.> 0>3 2,32>3 +> 3/ /38/5/+

5/-0,O-5 ./+45> ./0 8/5Q>.> ./ .>*/ 2/3/3 ./38:)3 ./0 8/5Q>.> 3>C5/ /0 *:-0 3/ ,+<>52-F R>3

-*4,B>3 *>55,/+4/3 4-2C,)+ ,+*0:;/+ -*4,B>3 A:/ 3/ 2-+4,/+/+ <:+.-2/+4-02/+4/ 8-5-

*>2/5*,-0,O-5 ]0>3 -*4,B>3 <,+-+*,/5>3 8/54/+/*,/+4/3 - /34- *-4/=>5Q- 3>+ *0-3,<,*-.>3 *>2>

-*4,B>3 <,+-+*,/5>3 A:/ 3/ 2-+4,/+/+ 8-5- 0- B/+4-9 ./ -*:/5.> *>+ 0- NZK #H[ -3Q *>2> 0-

8-54/ *>55,/+4/ ./ 0>3 -*4,B>3 <,+-+*,/5>3 +> *>55,/+4/3F

.1)+0E) GE//+(-*() &H >-1 (-*+H1H H(X(/h GO1)+I+G1/ 1 '- T1)+0E GEJE GE//+(-*( G'1-HE2 

]-[ )( ()T(/1 O+f'+H1/ 1O T1)+0E (- (O G+GOE -E/J1O H( O1 ET(/1G+,- H( O1 (-*+H1Hz 

]C[ )( J1-*(-S1 1O T1)+0E I'-H1J(-*1OJ(-*( T1/1 I+-() H(

GEJ(/G+1O+i1G+,-z 

]*[ H(X1 T1S1/)( (O T1)+0E H(-*/E H( HEG( J()() H()T'e) H(O T(/gEHE )EX/( (O G'1O

)( +-IE/J1z E

].[ O1 (-*+H1H -E *+(-( '- H(/(GUE +-GE-H+G+E-1O T1/1 1TO1i1/ (O T1SE H(O T1)+0E

H'/1-*(N 1O J(-E)N OE) HEG( J()() H()T'e) H(O T(/gEHE )EX/( (O G'1O )(

+-IE/J1; 

>-1 (-*+H1H GO1)+I+G1/h *EHE) OE) E*/E) T1)+0E) GEJE -E GE//+(-*(); 

IP 10=:+>3 8-3,B>3 *>55,/+4/39 4-0/3 *>2> 0>3 -*5//.>5/3 *>2/5*,-0/39 ; >45>3 8-3,B>3

./B/+=-.>39 ;- 3/- 8>5 *>34>3 ./ 8/53>+-0 > 8>5 >45>3 *>34>3 ./ >8/5-*,6+9 <>52-+ 8-54/ ./0

Page 187: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 187/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GcI

*-8,4-0 ./ 45-C-D> :4,0,O-.> /+ /0 *,*0> +>52-0 ./ >8/5-*,6+ ./ 0- /+4,.-.F \+- /+4,.-.

*0-3,<,*-5? 4-0/3 8-54,.-39 5/0-*,>+-.-3 *>+ 0- >8/5-*,6+ *>2> 8-3,B>3 *>55,/+4/39 ,+*0:3> 3, 3:

 B/+*,2,/+4> 3/ B- - 85>.:*,5 2?3 -00? ./ 0>3 .>*/ 2/3/3 ./38:)3 ./0 8/5Q>.> 3>C5/ /0 *:-0 3/

,+<>52-F 70 2,32> *,*0> +>52-0 ./ >8/5-*,6+ 3/ -80,*-5? - 0- *0-3,<,*-*,6+ ./ 0>3 -*4,B>3 ;

8-3,B>3 ./ :+- /+4,.-.F K:-+.> /0 *,*0> +>52-0 ./ 0- >8/5-*,6+ ./ :+- /+4,.-. +> /3 *0-5-2/+4/

,./+4,<,*-C0/9 3/ 3:8>+.5? A:/ 3: .:5-*,6+ /3 ./ .>*/ 2/3/3F

IG e45>3 8-3,B>3 *>55,/+4/3 +> 3>+ 8-=-.>3 *>2> 8-54/ ./0 *,*0> +>52-0 ./ 0- >8/5-*,6+9 8/5>

./C/+ 3/5 8-=-.>39 ./+45> ./ 0>3 .>*/ 2/3/3 ./38:)3 ./0 8/5Q>.> 3>C5/ /0 *:-0 3/ ,+<>52- > 3/

2-+4,/+/+ <:+.-2/+4-02/+4/ *>+ 85>863,4>3 ./ *>2/5*,-0,O-*,6+F W>+ /D/280>3 ./ /34/ 4,8>

0>3 8-3,B>3 <,+-+*,/5>3 2-+4/+,.>3 8-5- +/=>*,-5 ./ -*:/5.> *>+ 0- NZK #H9 0>3

3>C5/=,5>3 C-+*-5,>39 0- 8-54/ *>55,/+4/ ./ 0>3 8-3,B>3 +> *>55,/+4/39 0>3 .,B,./+.>3 8>5

8-=-59 /0 ,28:/34> - 0- 5/+4- ; >45-3 *:/+4-3 8>5 8-=-5 +> *>2/5*,-0/3F R>3 85)34-2>3 A:/

85>8>5*,>+-+ <,+-+*,-2,/+4> - 0-5=> 80-O> ]/34> /39 +> <>52-+ 8-54/ ./0 *-8,4-0 ./ 45-C-D>

:4,0,O-.> /+ /0 *,*0> +>52-0 ./ 0- >8/5-*,6+[9 ; A:/ +> ./C-+ 8-=-53/ ./+45> ./ 0>3 .>*/

2/3/3 ./38:)3 ./0 8/5Q>.> 3>C5/ /0 *:-0 3/ ,+<>52- 3>+ 8-3,B>3 +> *>55,/+4/39 3:D/4>3 - 0>3

8?55-<>3 I$ ; I%F

I! \+- /+4,.-. *0-3,<,*- 3:3 8-3,B>3 <,+-+*,/5>3 *>2> *>55,/+4/3 *:-+.> )34>3 ./C-+ 8-=-53/

./+45> ./ 0>3 .>*/ 2/3/3 ./38:)3 ./0 8/5Q>.> 3>C5/ /0 *:-0 3/ ,+<>52-9 -b+ *:-+.>a

]-[ /0 80-O> >5,=,+-0 ./0 8-3,B> <:/ 8>5 :+ 8/5Q>.> 3:8/5,>5 - .>*/ 2/3/3X ;

]C[ /U,34- :+ -*:/5.> ./ 5/<,+-+*,-2,/+4> > ./ 5//345:*4:5-*,6+ ./ 0>3 8-=>3 - 0-5=>80-O>9 A:/ 3/ @-;- *>+*0:,.> ./38:)3 ./0 8/5Q>.> 3>C5/ /0 *:-0 3/ ,+<>52- ; -+4/3 A:/

0>3 /34-.>3 <,+-+*,/5>3 3/-+ -:4>5,O-.>3 8-5- 3: /2,3,6+F

I# W, :+- /+4,.-. /38/5- ; 4,/+/9 0- <-*:04-. ./ 5/<,+-+*,-5 > 5/+>B-5 -0=:+-3 >C0,=-*,>+/3 ./ 8-=>

8>5 -0 2/+>3 .:5-+4/ 0>3 .>*/ 2/3/3 ./38:)3 ./0 8/5Q>.> 3>C5/ /0 *:-0 3/ ,+<>52-9 ./ -*:/5.>

*>+ 0-3 *>+.,*,>+/3 ./ <,+-+*,-2,/+4> /U,34/+4/9 *0-3,<,*- 4-0/3 >C0,=-*,>+/3 *>2> +>

*>55,/+4/39 -b+ *:-+.> ./ >45> 2>.> 3/5Q-+ 8-=-.-3 - *>54> 80-O>F N> >C34-+4/9 *:-+.> /0

5/<,+-+*,-2,/+4> > 5/+>B-*,6+ +> 3/- :+- <-*:04-. ./ 0- /+4,.-. ]8>5 /D/280> 3, +> /U,34,/3/

-*:/5.> 8-5- 5/<,+-+*,-5[9 0- /+4,.-. +> *>+3,./5- /0 8>4/+*,-0 8-5- 5/<,+-+*,-5 0- >C0,=-*,6+ ; 3/

*0-3,<,*- )34- *>2> *>55,/+4/F

I$ K:-+.> :+- /+4,.-. +> *:280- :+ *>285>2,3> -.A:,5,.> /+ :+ *>+45-4> ./ 85)34-2> -

0-5=> 80-O> /+ > -+4/3 ./0 *,/55/ ./0 8/5Q>.> 3>C5/ /0 *:-0 3/ ,+<>52-9 ; *>+ /00> 3/ @-=-

/U,=,C0/ - B>0:+4-. ./0 <,+-+*,34-9 4-0 8-3,B> 3/ *0-3,<,*-5? *>2> *>55,/+4/9 -b+ 3, /0

Page 188: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 188/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) Gcc

<,+-+*,34- @:C,/5- -*>5.-.>9 ./38:)3 ./0 8/5Q>.> 3>C5/ /0 *:-0 3/ ,+<>52- ; -+4/3 A:/ 0>3

/34-.>3 <,+-+*,/5>3 @:C,/5-+ 3,.> -:4>5,O-.>3 8-5- 3: /2,3,6+9 +> /U,=,5 /0 8-=> *>2>

*>+3/*:/+*,- ./0 ,+*:280,2,/+4>F \+- /+4,.-. *0-3,<,*- -0 8-3,B> *>2> *>55,/+4/ 8>5A:/9 -0

*,/55/ ./0 8/5Q>.> 3>C5/ /0 *:-0 3/ ,+<>52-9 0- /+4,.-. +> 4,/+/ /0 ./5/*@> ,+*>+.,*,>+-0 ./

-80-O-5 /0 8-=> ./0 8-3,B> .:5-+4/ -0 2/+>3 .>*/ 2/3/3 ./38:)3 ./ /3- </*@-F

I% W,+ /2C-5=>9 :+- /+4,.-. *0-3,<,*- -0 8-3,B> *>2> +> *>55,/+4/ 3, /0 <,+-+*,34- @:C,/3/

-*>5.-.>9 -0 *,/55/ ./0 8/5Q>.> 3>C5/ /0 *:-0 3/ ,+<>52-9 >4>5=-5 :+ 8/5Q>.> ./ =5-*,- A:/

<,+-0,*/ -0 2/+>3 .>*/ 2/3/3 ./38:)3 ./ 0- </*@- 3>C5/ 0- *:-0 3/ ,+<>52-9 ./+45> ./ *:;>

80-O> 0- /+4,.-. 8:/./ 5/*4,<,*-5 /0 ,+*:280,2,/+4> ; .:5-+4/ /0 *:-0 /0 <,+-+*,34- +> 8:/./

/U,=,5 /0 5//2C>03> ,+2/.,-4>F

I& d/38/*4> - 0>3 85)34-2>3 *0-3,<,*-.>3 *>2> 8-3,B>3 *>55,/+4/39 3, 3/ 85>.:D/3/ *:-0A:,/5- ./ 0>3

3,=:,/+4/3 @/*@>3 /+45/ 0- </*@- ./0 *,/55/ ./0 8/5Q>.> 3>C5/ /0 *:-0 3/ ,+<>52- ; 0- </*@- /+ A:/

0>3 /34-.>3 <,+-+*,/5>3 3>+ -:4>5,O-.>3 8-5- 3: /2,3,6+9 /3>3 @/*@>3 3>+ 5/B/0-.>3 *>2>

@/*@>3 A:/ +> ,280,*-+ -D:34/39 ./ -*:/5.> *>+ 0- NZK GP c/6=#* "#*5/$2#$/* +) "/$3#.# O#8$/ /)

4'+) */ 0-9#$,+Q  

]-[ 5/<,+-+*,-2,/+4> - 0-5=> 80-O>X

]C[ 5/*4,<,*-*,6+ ./ :+ ,+*:280,2,/+4> ./ :+ *>+45-4> ./ 85)34-2> - 0-5=> 80-O>X ;

]*[ *>+*/3,6+9 8>5 8-54/ ./0 <,+-+*,34-9 ./ :+ 8/5Q>.> ./ =5-*,- 8-5- 5/*4,<,*-5 /0

,+*:280,2,/+4> ./0 *>+45-4> ./ 85)34-2> - 0-5=> 80-O> A:/ <,+-0,O- - 0> 2/+>39 .>*/

2/3/3 ./38:)3 ./0 8/5Q>.> 3>C5/ /0 *:-0 3/ ,+<>52-F"-IE/J1G+,- 1 )(/ T/()(-*1H1 (- (O ()*1HE H( )+*'1G+,- I+-1-G+(/1 E (- O1) -E*1) 

II >-1 (-*+H1H /(0(O1/hN F1 )(1 (- (O ()*1HE H( )+*'1G+,- I+-1-G+(/1 E (- O1) -E*1)N

)'XGO1)+I+G1G+E-() Jh) H(*1OO1H1) H( O1) T1/*+H1) f'( GEJTE-(- O1) Og-(1) H( T1/*+H1)

 T/()(-*1H1)N GO1)+I+G1H1) H( '-1 IE/J1 1T/ET+1H1 1 O1) ET(/1G+E-() /(1O+i1H1) TE/ O1

(-*+H1H; 

Ic 70 ./4-00/ 85>8>5*,>+-.> /+ 0-3 3:C*0-3,<,*-*,>+/3 ./8/+./5? ./ 0>3 5/A:/5,2,/+4>3

*>+4/+,.>3 /+ 0-3 NZZ^9 -3Q *>2> ./ 0- +-4:5-0/O-9 4-2-V> ; <:+*,6+ ./ 0>3 2>+4>3

,+B>0:*5-.>3F \+- /+4,.-. 4-2C,)+ :4,0,O- 0>3 <-*4>5/3 3/V-0-.>3 /+ /0 8?55-<> %c 8-5-

./*,.,5 3>C5/ 0>3 *5,4/5,>3 ./ 3:C*0-3,<,*-*,6+F 70 +,B/0 ./ ,+<>52-*,6+ 85>8>5*,>+-.- 3/5?

.,</5/+4/ 8-5- *-.- 8-54,.-9 8>5 /D/280>a

]-[ 0-3 8-54,.-3 ./ -*4,B> <,D> 3/ ./4-00-5?+ 8>5 *0-3/39 3/=b+ 0> /34-C0/*,.> /+ 0- NZK

G&X

Page 189: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 189/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GcH

]C[ 0-3 *:/+4-3 - *>C5-5 3/ ./4-00-5?+ /+ <:+*,6+ ./ 3, 85>*/./+ ./ *0,/+4/3 *>2/5*,-0/39 ./

8-54/3 5/0-*,>+-.-39 ./ 85/8-=>3 ; >45>3 2>+4>3X

]*[ 0-3 /U,34/+*,-3 3/ 3:C*0-3,<,*-5?+9 ./ -*:/5.> *>+ 0- NZK !9  HF2*5/-62+* 9 /+

*0-3,<,*-*,>+/3 4-0/3 *>2> 2/5*-./5Q-39 3:2,+,345>39 2-4/5,-3 85,2-39 85>.:*4>3 /+

85>*/3> ; 85>.:*4>3 4/52,+-.>3X

].[ 0-3 85>B,3,>+/3 3/ ./3=0>3-5?+9 ./ <>52- A:/ 3/ 2:/345/+ 8>5 3/8-5-.> 0-3 A:/

*>55/38>+./+ - 85>B,3,>+/3 8>5 C/+/<,*,>3 - /280/-.>3 ; >45-3 8-54,.-3X ;

]/[ /0 *-8,4-0 ; 0-3 5/3/5B-3 3/ ./3=0>3-5?+ /+ B-5,-3 *0-3/39 4-0/3 *>2> *-8,4-0 8-=-.>9

3>C5/85/*,> /+ *>0>*-*,6+ ./ -**,>+/3 ; 5/3/5B-3F

IH >-1 (-*+H1H /(0(O1/hN F1 )(1 (- (O ()*1HE H( )+*'1G+,- I+-1-G+(/1 E (- (O ()*1HE H(

G1JX+E) (- (O T1*/+JE-+E E (- O1) -E*1)N OE )+S'+(-*(2 

]-[  T1/1 G1H1 '-1 H( O1) GO1)() H( 1GG+E-() E *g*'OE) f'( GE-)*+*'F1- (O G1T+*1O2 

],[ (O -sJ(/E H( 1GG+E-() 1'*E/+i1H1) T1/1 )' (J+)+,-z 

],,[ (O -sJ(/E H( 1GG+E-() (J+*+H1) F *E*1OJ(-*( T1S1H1)N 1)g GEJE O1)

(J+*+H1) T(/E 1s- -E T1S1H1) (- )' *E*1O+H1Hz 

],,,[ (O 01OE/ -EJ+-1O H( O1) 1GG+E-()N E (O U(GUE f'( -E *(-S1- 01OE/ -EJ+-1Oz 

],B[ '-1 GE-G+O+1G+,- (-*/( (O -sJ(/E H( 1GG+E-() (- G+/G'O1G+,- 1O T/+-G+T+E F 1O

I+-1O H(O T(/gEHEz 

]B[ OE) H(/(GUE)N T/+0+O(S+E) F /()*/+GG+E-() GE//()TE-H+(-*() 1 G1H1 GO1)( H(

1GG+E-()N +-GO'F(-HE O1) /()*/+GG+E-() f'( 1I(G*1- 1O T1SE H( H+0+H(-HE) F1O /((JXEO)E H(O G1T+*1Oz 

]B,[ O1) 1GG+E-() H( O1 (-*+H1H f'( ()*e- (- TEH(/ H( O1 (-*+H1H E TE/ )')

1I+O+1H1) E GEO+S1H1)z F 

]B,,[ O1) 1GG+E-() G'F1 (J+)+,- ()*h /()(/01H1 GEJE GE-)(G'(-G+1 H( O1

(j+)*(-G+1 H( ETG+E-() E GE-*/1*E) T1/1 O1 0(-*1 H( 1GG+E-()N

H()G/+X+(-HE OE) *e/J+-E) F JE-*E)z F 

]C[ '-1 H()G/+TG+,- H( O1 -1*'/1O(i1 F T/ET,)+*E H( G1H1 /()(/01 H(-*/E H(O

 T1*/+JE-+Ez 

cP >-1 (-*+H1H f'( -E *(-S1 H+0+H+HE (O G1T+*1O (- 1GG+E-()N GEJE TE/ (P(JTOE '-1

)EG+(H1H H( T(/)E-1) E '- I+H(+GEJ+)EN /(0(O1/h +-IE/J1G+,- (f'+01O(-*( 1 O1 (j+S+H1

(- (O Th//1IE Y^ b1RN JE)*/1-HE OE) JE0+J+(-*E) f'( )( U1F1- T/EH'G+HEN H'/1-*( (O

 T(/gEHEN (- G1H1 G1*(SE/g1 f'( GEJTE-( 1O T1*/+JE-+EN ( +-IE/J1-HE )EX/( OE)

Page 190: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 190/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GHP

H(/(GUE)N T/+0+O(S+E) F /()*/+GG+E-() /(O1G+E-1HE) GE- G1H1 G1*(SE/g1 H( +-*(/e)

 T1*/+JE-+1O; 

&)*1HE +-*(S/1O H( /()'O*1HE)F

cG >-1 (-*+H1H T/()(-*1/h *EH1) O1) T1/*+H1) H( +-S/()E) F S1)*E) /(GE-EG+H1) (- '-

 T(/gEHE2 

]-[ /+ :+ /34-.> ,+4/=5-0 ./ 5/3:04-.>3 b+,*>9 >

]C[ /+ .>3 /34-.>3a :+ /34-.> 85/3/+4-+.> 0>3 *>28>+/+4/3 ./ :4,0,.-. > 8)5.,.-

]/34-.> ./ 5/3:04-.>3 3/8-5-.>[ ; :+ 3/=:+.> /34-.> A:/ *>2,/+*/ *>+ 0- :4,0,.-. >

8)5.,.- ; 85/3/+4-+.> 0>3 *>28>+/+4/3 ./ >45>3 5/3:04-.>3 ,+4/=5-0/3 ]/34-.>

,+4/=5-0 ./ 5/3:04-.>3[F

"-IE/J1G+,- 1 )(/ T/()(-*1H1 (- (O ()*1HE +-*(S/1O H( /()'O*1HE) 

c! %EJE Jg-+JEN (O ()*1HE +-*(S/1O H( /()'O*1HE) +-GO'+/hN Og-(1) ()T(GgI+G1) H( T1/*+H1)GE- OE) JE-*E) f'( T/()(-*(- OE) )+S'+(-*() JE-*E)2 

]-[ +-S/()E) E/H+-1/+E)z 

]C[ GE)*E) I+-1-G+(/E)z 

]*[  T1/*+G+T1G+,- (- O1 '*+O+H1H E Te/H+H1 H( O1) GEO+S1H1) F -(SEG+E) GE-P'-*E) f'(

)( GE-*1X+O+G(- )(Ss- (O Je*EHE H(O 01OE/ T1*/+JE-+1Oz 

].[ +JT'()*E 1 O1 /(-*1z 

]/[ '- s-+GE JE-*E f'( GEJT/(-H1 (O *E*1O H(2 

],[ O1 '*+O+H1H E Te/H+H1 H()T'e) H( +JT'()*E) T/EG(H(-*( H( O1) ET(/1G+E-()

H()GE-*+-'1H1) F 

],,[ O1 S1-1-G+1 E Te/H+H1 H()T'e) H( +JT'()*E) f'( )( U1F1 /(GE-EG+HE TE/ O1

 01OE/+i1G+,- 1 01OE/ P')*E J(-E) OE) GE)*E) H( 0(-*1 E TE/ G1')1 H( O1

(-1P(-1G+,- H( OE) 1G*+0E) E S/'TE) (- (-1P(-1G+,- f'( GE-)*+*'F1- O1  

ET(/1G+,- H()GE-*+-'1H1z 

]<[ '*+O+H1H E Te/H+H1z 

]=[ G1H1 GEJTE-(-*( H( E*/E) /()'O*1HE) +-*(S/1O() GO1)+I+G1HE) TE/ )' -1*'/1O(i1 b(jGO'F(-HE OE) JE-*E) (- bURRz 

]@[ O1 T1/*+G+T1G+,- (- OE) E*/E) /()'O*1HE) +-*(S/1O() H( O1) GEO+S1H1) F -(SEG+E)

GE-P'-*E) f'( )( GE-*1X+O+G(- )(Ss- (O Je*EHE H(O 01OE/ T1*/+JE-+1ON F 

],[ /()'O*1HE +-*(S/1O *E*1O; 

Page 191: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 191/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GHG

c# >-1 (-*+H1H /(0(O1/h O1) )+S'+(-*() T1/*+H1) (- (O ()*1HE +-*(S/1O H( /()'O*1HE) GEJE

1)+S-1G+E-() H( O1 '*+O+H1H E Te/H+H1 T1/1 (O T(/gEHE2 

]-[ '*+O+H1H E Te/H+H1 H(O T(/gEHE 1*/+X'+XO(2

],[ 1O +-*(/e) -E GE-*/EO1HE/z F

],,[ 1 OE) H'({E) H( O1 <1*/+i; 

]C[ /()'O*1HE) +-*(S/1O() *E*1O() T1/1 (O T(/gEHEN 1*/+X'+XO()2

],[ 1O +-*(/e) -E GE-*/EO1HE/z F 

],,[ 1 OE) H'({E) H( O1 <1*/+i; 

c$ >-1 (-*+H1H T'(H( T/()(-*1/ (- '- ()*1HE H( /()'O*1HE) )(T1/1HE b0(/ Th//1IE 3[R O1)

 T1/*+H1) TE/ Og-(1) (- (O Th//1IE [A b1R 1 bIR F O1) /(0(O1G+E-() H(O Th//1IE [D b1R; 

c% >-1 (-*+H1H T/()(-*1/h T1/*+H1) TE/ Og-(1)N (-G1X(i1J+(-*E) F )'X*E*1O() 1H+G+E-1O()

(- (O ()*1HE +-*(S/1O H( /()'O*1HE) F (- (O ()*1HE H( /()'O*1HE) )(T1/1HE b)+ )( T/()(-*1RN G'1-HE *1O T/()(-*1G+,- () /(O(01-*( T1/1 '-1 GEJT/(-)+,- H(O H()(JT({E

I+-1-G+(/E H( O1 (-*+H1H; 

c& `/C,.> - A:/ 0>3 /</*4>3 ./ 0-3 .,B/53-3 -*4,B,.-./39 45-+3-**,>+/3 ; >45>3 @/*@>3 ./ :+-

/+4,.-.9 .,<,/5/+ /+ <5/*:/+*,-9 8>4/+*,-0 8-5- =-+-+*,-3 > 8)5.,.-3 ; *-8-*,.-. ./

85/.,**,6+9 0- 5/B/0-*,6+ ./ 0>3 *>28>+/+4/3 ./0 ./3/28/V> <,+-+*,/5> -;:.- - 0>3 :3:-5,>3 -

*>285/+./5 /0 ./3/28/V> <,+-+*,/5> -0*-+O-.> ; 8-5- /</*4:-5 85>;/**,>+/3 ./0

./3/28/V> <,+-+*,/5> <:4:5>F \+- /+4,.-. ,+*0:;/ 0Q+/-3 ./ 8-54,.-3 -.,*,>+-0/3 /+ /0 /34-.>

,+4/=5-0 ./ 5/3:04-.>3 ; /+ /0 /34-.> ./ 5/3:04-.>3 3/8-5-.> ]3, 3/ 85/3/+4-[9 ; 3, 2>.,<,*- 0-3./3*5,8*,>+/3 :3-.-3 ; /0 >5./+-2,/+4> ./ 8-54,.-3 *:-+.> /3 +/*/3-5,> /U80,*-5 0>3

/0/2/+4>3 ./ ./3/28/V> <,+-+*,/5>F \+- /+4,.-. *>+3,./5- <-*4>5/3 ,+*0:;/+.> 0-

,28>54-+*,- 5/0-4,B- ; 0- +-4:5-0/O- ; <:+*,6+ ./ 0-3 8-54,.-3 ./ ,+=5/3>3 ; =-34>3F M>5

/D/280>9 :+- ,+34,4:*,6+ <,+-+*,/5- 8:/./ 2>.,<,*-5 0-3 ./3*5,8*,>+/3 8-5- 85>8>5*,>+-5

,+<>52-*,6+ A:/ /3 5/0/B-+4/ 8-5- 0-3 >8/5-*,>+/3 ./ :+- ,+34,4:*,6+ <,+-+*,/5-F \+- /+4,.-. +>

*>28/+3- 8-54,.-3 ./ ,+=5/3>3 ; /=5/3>3 - 2/+>3 A:/ 3/ *:280- *>+ 0>3 *5,4/5,>3 ./0 8?55-<>

#!F

cI >-1 (-*+H1H -E T/()(-*1/h -+-S'-1 T1/*+H1 H( +-S/()E) E S1)*E) GEJE g*(J)

(j*/1E/H+-1/+E) (- (O ()*1HE +-*(S/1O H( /()'O*1HE) E (- (O ()*1HE H( /()'O*1HE)

)(T1/1HE b)+ )( T/()(-*1R E (- O1) -E*1); 

>*+O+H1H E Te/H+H1 H(O T(/gEHE

Page 192: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 192/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GH!

cc >-1 (-*+H1H /(GE-EG(/h *EH1) O1) T1/*+H1) H( +-S/()E) F S1)*E) (- '- T(/gEHE (-

'*+O+H1H E Te/H+H1 1 J(-E) f'( '-1 #""L OE /(f'+(/1 E T(/J+*1 H( E*/E JEHE; 

cH 10=:+-3 NZZ^ /38/*,<,*-+ 0-3 *,5*:+34-+*,-3 *:-+.> :+- /+4,.-. 5/*>+>*/ 8-54,.-3

/38/*Q<,*-3 <:/5- ./ 0- :4,0,.-. > 8)5.,.- ./0 8/5Q>.> -*4:-0F R- NZK c /38/*,<,*- .>3

*,5*:+34-+*,-3a 0- *>55/**,6+ ./ /55>5/3 ; /0 /</*4> ./ *-2C,>3 /+ 0-3 8>0Q4,*-3 *>+4-C0/3F e45-3

NZZ^ 5/A:,/5/+ > 8/52,4/+ *>28>+/+4/3 ./ >45>3 5/3:04-.>3 ,+4/=5-0/3 A:/ *:280/+ *>+ 0-

./<,+,*,6+ ./0 _-5*> K>+*/84:-0 ./ ,+=5/3>3 ; =-34>3 3/-+ /U*0:,.>3 ./ 0- :4,0,.-. > 8)5.,.-

]B/5 8?55-<> I[F

4*/E) /()'O*1HE) +-*(S/1O() H(O T(/gEHE 

HP >-1 (-*+H1H H(X(/h /(0(O1/ (O JE-*E H( +JT'()*E 1 O1 /(-*1 /(O1G+E-1HE GE- G1H1

GEJTE-(-*( H( E*/E) /()'O*1HE) +-*(S/1O()N +-GO'F(-HE OE) 1P')*() TE/ /(GO1)+I+G1G+E-()N

 F1 )(1 (- (O ()*1HE +-*(S/1O H( /()'O*1HE) E (- O1) -E*1); 

HG \+- /+4,.-. 8:/./ 85/3/+4-5 0>3 *>28>+/+4/3 ./ >45>3 5/3:04-.>3 ,+4/=5-0/3 ;- 3/-a

]-[ +/4>3 ./ 0>3 /</*4>3 ./ ,28:/34> - 0- 5/+4-9 >

]C[ -+4/3 ./0 /</*4> ./ 0>3 ./ ,28:/34> - 0- 5/+4-9 85/3/+4-+.> :+ 360> 2>+4> 8>5 /0

4>4-0 ./0 ,28:/34> - 0- 5/+4- 5/0-*,>+-.> *>+ /3>3 *>28>+/+4/3F

H! >-1 (-*+H1H /(0(O1/h OE) 1P')*() TE/ /(GO1)+I+G1G+E-() /(O1G+E-1HE) GE- OE)

GEJTE-(-*() H( E*/E) /()'O*1HE) +-*(S/1O(); 

H# e45-3 NZZ^ /38/*,<,*-+ 3, ; *:-+.> 2>+4>3 85/B,-2/+4/ 5/*>+>*,.>3 /+ >45>3 5/3:04-.>3

,+4/=5-0/3 3>+ 5/*0-3,<,*-.>3 - :4,0,.-. > 8)5.,.-F (-0/3 5/*0-3,<,*-*,>+/3 3/ ./+>2,+-+ /+ /34-

N>52- *>2> -D:34/3 8>5 5/*0-3,<,*-*,6+F \+ -D:34/ 8>5 5/*0-3,<,*-*,6+ 3/ ,+*0:;/ *>+ /0

5/38/*4,B> *>28>+/+4/ ./ >45>3 5/3:04-.>3 ,+4/=5-0/3 /+ /0 8/5Q>.> /+ A:/ /0 -D:34/ /3

5/*0-3,<,*-.> - :4,0,.-. > 8)5.,.-F M>5 /D/280>9 =-+-+*,-3 5/-0,O-.-3 /+ 0- /+-D/+-*,6+ ./

-*4,B>3 <,+-+*,/5>3 .,38>+,C0/3 8-5- 0- B/+4- 3/ ,+*0:;/+ /+ :4,0,.-. > 8)5.,.- ./0 8/5Q>.>

-*4:-0F 734>3 2>+4>3 8:/./+ @-C/5 3,.> 5/*>+>*,.>3 /+ >45>3 5/3:04-.>3 ,+4/=5-0/3 *>2>

=-+-+*,-3 +> 5/-0,O-.-3 /+ /0 8/5Q>.> -*4:-0 > -+4/5,>5F 73-3 =-+-+*,-3 +> 5/-0,O-.-3 ./C/+ 3/5

./.:*,.-3 ./ >45>3 5/3:04-.>3 ,+4/=5-0/3 /+ /0 8/5Q>.> /+ A:/ 0-3 =-+-+*,-3 5/-0,O-.-3 3>+

5/*0-3,<,*-.-3 - :4,0,.-. > 8)5.,.- 8-5- /B,4-5 ,+*0:,50-3 .>3 B/*/3 /+ >45>3 5/3:04-.>3

,+4/=5-0/3F

H$ \+- /+4,.-. 8:/./ 85/3/+4-5 -D:34/3 8>5 5/*0-3,<,*-*,>+/3 /+ /0 /34-.> ,+4/=5-0 ./ 5/3:04-.>3 >

/+ 0-3 +>4-3F \+- /+4,.-. A:/ 85/3/+4- -D:34/3 8>5 5/*0-3,<,*-*,>+/3 /+ 0-3 +>4-39 85/3/+4- 0>3

*>28>+/+4/3 ./ >45>3 5/3:04-.>3 ,+4/=5-0/3 ./38:)3 ./ *>+3,./5-5 *:-0A:,/5 -D:34/ 8>5

Page 193: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 193/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GH#

5/*0-3,<,*-*,6+F

H% R>3 -D:34/3 8>5 5/*0-3,<,*-*,6+ 3:5=/+9 8>5 /D/280>9 -0 /+-D/+-5 :+- >8/5-*,6+ /+ /0

/U45-+D/5> ]B/5 NZK !G[9 -0 /0,2,+-5 ./ 0>3 0,C5>3 -*4,B>3 .,38>+,C0/3 8-5- 0- B/+4- ]B/5 NZK

#H[ ; *:-+.> :+- 45-+3-**,6+ 85>;/*4-.- *>+ *>C/54:5- -</*4- - 0- :4,0,.-. > 8)5.,.- ]B/5

8?55-<> GPP ./ 0- NZK #H /+ 5/0-*,6+ *>+ *>C/54:5-3 ./ <0:D>3 ./ /</*4,B>[F

H& R>3 -D:34/3 8>5 5/*0-3,<,*-*,6+ +> 3:5=/+ ./ *-2C,>3 /+ 0- 5/3/5B- ./ 5/B-0>5,O-*,6+

5/*>+>*,.>3 ./ -*:/5.> *>+ 0- NZK G& > 0- NZK #c > ./ =-+-+*,-3 > 8)5.,.-3 -*4:-5,-0/3

3>C5/ 80-+/3 ./ C/+/<,*,>3 ./<,+,.>3 5/*>+>*,.>3 ./ -*:/5.> *>+ /0 8?55-<> H#1 ./ 0- NZK GHF

734>3 *>28>+/+4/3 3>+ 5/*>+>*,.>3 /+ >45>3 5/3:04-.>3 ,+4/=5-0/3 ; +> 3>+

5/*0-3,<,*-.>3 - :4,0,.-. > 8)5.,.- /+ 8/5Q>.>3 8>34/5,>5/3F R>3 *-2C,>3 /+ 0- 5/3/5B- ./

5/B-0>5,O-*,6+ 8:/./+ 3/5 45-+3</5,.>3 - :4,0,.-./3 5/4/+,.-3 /+ 8/5Q>.>3 8>34/5,>5/3 /+ 0-

2/.,.- /+ A:/ /0 -*4,B> 3/- :4,0,O-.> > *:-+.> 3/- /0,2,+-.> ./ 0>3 0,C5>3 ]B/5 NZK G& ; NZK

#c[F R-3 =-+-+*,-3 ; 8)5.,.-3 -*4:-5,-0/3 3>+ 85/3/+4-.-3 /+ :4,0,.-./3 5/4/+,.-3 /+ /0 8/5Q>.>

/+ A:/ 3>+ 5/*>+>*,.>3 *>2> >45>3 5/3:04-.>3 ,+4/=5-0/3 ]B/5 NZK GH[F

"-IE/J1G+,- 1 )(/ T/()(-*1H1 (- (O ()*1HE +-*(S/1O H( /()'O*1HE) E (- O1) -E*1) 

HI %'1-HE O1) T1/*+H1) H( +-S/()E) F S1)*E) )E- )+S-+I+G1*+01)N '-1 (-*+H1H /(0(O1/h

)(T1/1H1J(-*( )' -1*'/1O(i1 F JE-*E; 

Hc 7+45/ 0-3 *,5*:+34-+*,-3 A:/ .-5Q-+ 0:=-5 - 5/B/0-*,>+/3 3/8-5-.-3 ./ 8-54,.-3 ./ ,+=5/3>3 ;

=-34>3 /34?+ 0-3 3,=:,/+4/3a

]-[ 0>3 *-34,=>3 ./ /U,34/+*,-3 - 3: B-0>5 +/4> 5/-0,O-C0/9 > ./ 0>3 /0/2/+4>3 ./ -*4,B> <,D> -3: 2>+4> 5/*:8/5-C0/9 -3Q *>2> /0 5/B/53> ./ 4-0/3 *-34,=>3X

]C[ :+- 5//345:*4:5-*,6+ ./ 0-3 -*4,B,.-./3 ./ 0- /+4,.-.9 -3Q *>2> /0 5/B/53> ./

*:-0A:,/5 85>B,3,6+ 5/=,345-.- 8-5- @-*/5 <5/+4/ - 0>3 *>34>3 ./ 0- 2,32-X

]*[ /+-D/+-*,>+/3 > .,38>3,*,>+/3 8>5 >45-3 BQ-3 ./ 8-54,.-3 ./ -*4,B>3 <,D>3X

].[ /+-D/+-*,>+/3 > .,38>3,*,>+/3 8>5 >45-3 BQ-3 ./ ,+B/53,>+/3X

]/[ >8/5-*,>+/3 ./3*>+4,+:-.-3X

]<[ 8-=>3 8>5 0,4,=,>3X ;]=[ >45>3 5/B/53>3 ./ 85>B,3,>+/3F

HH >-1 (-*+H1H T/()(-*1/h '- H()SOE)( H( OE) S1)*E) /(GE-EG+HE) (- '*+O+H1H E Te/H+H1N

'*+O+i1-HE T1/1 (OOE '-1 GO1)+I+G1G+,- X1)1H1 (- O1 -1*'/1O(i1 H( OE) J+)JE) E (- O1

I'-G+,- f'( G'JTO1- H(-*/E H( O1 (-*+H1HN H(T(-H+(-HE H( G'hO T/ETE/G+E-( '-1

+-IE/J1G+,- f'( )(1 I+1XO( F Jh) /(O(01-*(; 

Page 194: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 194/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GH$

GPP W/ -*>+3/D- - 0-3 /+4,.-./3 A:/ 85/3/+4/+ /0 ./3=0>3/ 2/+*,>+-.> /+ /0 8?55-<> HH9 /+ /0

/34-.> ,+4/=5-0 ./ 5/3:04-.>3 > /+ /0 /34-.> ./ 5/3:04-.>3 3/8-5-.>3 ]3, 3/ 85/3/+4-[F

GPG R-3 8-54,.-3 ./ =-34>3 3/ 85/3/+4-5?+ *>+ 0- 3:C*0-3,<,*-*,6+ 8/54,+/+4/9 - <,+ ./ 8>+/5 ./

2-+,<,/34> 0>3 *>28>+/+4/3 5/0-4,B>3 -0 ./3/28/V> <,+-+*,/5>9 A:/ 8:/.-+ 3/5 .,</5/+4/3 /+

*:-+4> - 3: <5/*:/+*,-9 8>4/+*,-0 ./ =-+-+*,-3 > 8)5.,.-3 ; *-8-*,.-. ./ 85/.,**,6+F 734-

,+<>52-*,6+ 3/ 8>.5? 85>8>5*,>+-5 /+ *:-0A:,/5- ./ 0-3 .>3 <>52-3 -04/5+-4,B-3 ./3*5,4-3 -

*>+4,+:-*,6+F

GP! R- 85,2/5- <>52- ./ ./3=0>3/ 3/ ./+>2,+- 2)4>.> ./ 0- ―n-4:5-0/O- ./0 =-34>‖. \+- /+4,.-.

-=5:8- 0>3 =-34>3 ./+45> ./ 0- :4,0,.-. > 8)5.,.- ./ -*:/5.> *>+ 3: +-4:5-0/O- ]8>5 /D/280>

./85/*,-*,6+9 *>285-3 ./ 2-4/5,-0/39 *>34>3 ./ 45-+38>54/9 C/+/<,*,>3 - 0>3 /280/-.>3 ;

*>34>3 ./ 8:C0,*,.-.[ ; +> 0>3 5/-3,=+- /+45/ 0-3 .,</5/+4/3 <:+*,>+/3 A:/ 3/ ./3-55>00-+ /+ 0-

/+4,.-.F 734/ 2)4>.> 8:/./ 3/5 3,280/ ./ -80,*-59 ./C,.> - A:/ +> /3 +/*/3-5,> -3,=+-5 0>3

=-34>3 /+45/ 0-3 .,</5/+4/3 *0-3,<,*-*,>+/3 <:+*,>+-0/3F \+ /D/280> ./ *0-3,<,*-*,6+

:4,0,O-+.> /0 2)4>.> ./ 0- +-4:5-0/O- ./ 0>3 =-34>3 /3 /0 3,=:,/+4/a

Z+=5/3>3 >5.,+-5,>3 l

e45>3 ,+=5/3>3 l

 f-5,-*,6+ /+ 0-3 /U,34/+*,-3 ./ 85>.:*4>3 4/52,+-.>3 ; /+ 85>*/3> l

K>+3:2>3 ./ 2-4/5,-3 85,2-3 ; 2-4/5,-0/3 l

L-34>3 8>5 C/+/<,*,>3 - 0>3 /280/-.>3 l

L-34>3 8>5 ./85/*,-*,6+ ; -2>54,O-*,6+ le45>3 =-34>3 l

 (>4-0 =-34>3 ]l[ 

\4,0,.-. -+4/3 ./ ,28:/34> l  

GP# R- 3/=:+.- <>52- ./ ./3=0>3/ 3/ ./+>2,+- 2)4>.> ./ 0- ―<:+*,6+ ./0 =-34>‖ > 2)4>.> ./0

―co34> ./ B/+4-3‖,  ; *>+3,34/ /+ *0-3,<,*-5 0>3 =-34>3 ./ -*:/5.> *>+ 3: <:+*,6+ *>2> 8-54/./0 *>34> ./ B/+4-3 >9 8>5 /D/280>9 ./ 0>3 =-34>3 ./ 0-3 -*4,B,.-./3 ./ .,345,C:*,6+ >

-.2,+,345-*,6+F W,=:,/+.> /34/ 2)4>.>9 0- /+4,.-. 5/B/0-9 *>2> 2Q+,2>9 3: *>34> ./ B/+4-3 /+

<>52- 3/8-5-.- ./ 0>3 >45>3 =-34>3F 734/ 2)4>.> 8:/./ 85>8>5*,>+-5 ,+<>52-*,6+ 2?3

5/0/B-+4/ - 0>3 :3:-5,>3 A:/ 0- ><5/*,.- 85/3/+4-+.> 0>3 =-34>3 8>5 +-4:5-0/O-9 8/5> @-; A:/

4/+/5 /+ *:/+4- A:/ 0- -3,=+-*,6+ - 0-3 <:+*,>+/3 8:/./ 5/A:/5,5 ./ -3,=+-*,>+/3 -5C,45-5,-39 /

Page 195: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 195/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GH%

,+B>0:*5-5 D:,*,>3 3:CD/4,B>3F \+ /D/280> ./ :+- *0-3,<,*-*,6+ A:/ :4,0,O- /0 2)4>.> ./

<:+*,6+ ./ 0>3 =-34>3 /3 /0 3,=:,/+4/a

Z+=5/3>3 >5.,+-5,>3 l

K>34> ./ B/+4-3 ]l[\4,0,.-. C5:4- l

e45>3 ,+=5/3>3 l

L-34>3 ./ .,345,C:*,6+ ]l[

L-34>3 ./ -.2,+,345-*,6+ ]l[

e45>3 =-34>3 ]l[

\4,0,.-. -+4/3 ./ ,28:/34> l  

GP$ >-1 (-*+H1H f'( GO1)+I+f'( )') S1)*E) TE/ I'-G+,- H(X(/h /(0(O1/ +-IE/J1G+,-

1H+G+E-1O )EX/( O1 -1*'/1O(i1 H( *1O() S1)*E)N +-GO'F(-HEN OE) S1)*E) TE/ H(T/(G+1G+,- F

1JE/*+i1G+,- F (O S1)*E TE/ X(-(I+G+E) 1 OE) (JTO(1HE); 

GP% R- /0/**,6+ /+45/ /0 2)4>.> 8>5 <:+*,6+ > 8>5 +-4:5-0/O- ./0 =-34>9 ./8/+./ 4-+4> ./

<-*4>5/3 @,3465,*>3 *>2> ./0 3/*4>5 ,+.:345,-0 .>+./ 3/ /+2-5A:/ 0- /+4,.-.9 -3Q *>2> ./ 0-

+-4:5-0/O- ./ 0- 2,32-F 12C>3 2)4>.>3 85>8>5*,>+-+ :+- ,+.,*-*,6+ ./ 0>3 *>34>3 A:/

8:/.-+ B-5,-5 .,5/*4- > ,+.,5/*4-2/+4/ *>+ /0 +,B/0 ./ B/+4-3 > ./ 85>.:**,6+ ./ 0- /+4,.-.F

`/C,.> - A:/ *-.- :+> ./ 0>3 2)4>.>3 ./ 85/3/+4-*,6+ 4,/+/ B/+4-D-3 8-5- .,34,+4>3 4,8>3 ./

/+4,.-./39 /34- N>52- /U,=/ A:/ 0- 1.2,+,345-*,6+ 3/0/**,>+/ 0- 85/3/+4-*,6+ A:/ 3/- <,-C0/ ;

2?3 5/0/B-+4/F N> >C34-+4/9 ./C,.> - A:/ 0- ,+<>52-*,6+ 3>C5/ 0- +-4:5-0/O- ./ =-34>3 /3 b4,0 -0

85/./*,5 <0:D>3 ./ /</*4,B>9 3/ 5/A:,/5/ 0- 85/3/+4-*,6+ ./ .-4>3 -.,*,>+-0/3 *:-+.> 3/ :4,0,O- /0

2)4>.> ./ 0>3 =-34>3 8>5 <:+*,6+F 7+ /0 8?55-<> GP$9 /0 *>+*/84> ―be+/<,*,>3 - 0>3 /280eados‖ 

4,/+/ /0 2,32> 3,=+,<,*-.> A:/ /+ 0- NZK GHF

&)*1HE H( G1JX+E) (- (O T1*/+JE-+E GP& >-1 (-*+H1H T/()(-*1/h '- ()*1HE H( G1JX+E) (- (O T1*/+JE-+E JE)*/1-HE2 

]-[ /()'O*1HE) +-*(S/1O() *E*1O() TE/ (O T(/gEHEN JE)*/1-HE (- IE/J1 )(T1/1H1 OE)

JE-*E) *E*1O() 1*/+X'+XO() 1 OE) H'({E) H( O1 <1*/+i F 1 OE) +-*(/()() -E

GE-*/EO1HE/() z 

]C[ G1H1 GEJTE-(-*( H( T1*/+JE-+EN OE) (I(G*E) H( O1 1TO+G1G+,- /(*/E)T(G*+01 E O1

Page 196: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 196/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GH&

/(M(jT/()+,- /(*/E1G*+01 /(GE-EG+H1 H( 1G'(/HE GE- O1 #"% [z F 

]*[ b(O+J+-1HE (- *(j*E E/+S+-1O (- +-SOe)Rz 

].[  T1/1 G1H1 GEJTE-(-*( H( T1*/+JE-+EN '-1 GE-G+O+1G+,- (-*/( (O 01OE/ H( O+X/E) 1O

 T/+-G+T+E F 1O I+-1O H(O T(/gEHEN /(0(O1-HE )(T1/1H1J(-*( OE) G1JX+E)

/()'O*1-*() H(2 

b+R '*+O+H1H E Te/H+H1z 

b++R G1H1 T1/*+H1 H( E*/E) /()'O*1HE) +-*(S/1O()z F 

b+++R */1-)1GG+E-() GE- OE) H'({E) (- )' G1O+H1H H( *1O()N JE)*/1-HE

)(T1/1H1J(-*( OE) 1TE/*() TE/ F O1) H+)*/+X'G+E-() 1 OE) H'({E) F

G1JX+E) (- OE) +-*(/()() T/ET+(*1/+E) (- 1I+O+1H1) f'( -E /()'O*(- (- '-1

 Te/H+H1 H( GE-*/EO; 

GPI >-1 (-*+H1H T/()(-*1/hN F1 )(1 (- (O ()*1HE H( G1JX+E) (- (O T1*/+JE-+E E (- O1) -E*1)N

OE) JE-*E) H( OE) H+0+H(-HE) /(GE-EG+HE) GEJE H+)*/+X'G+E-() 1 OE) H'({E) H'/1-*( (O

 T(/gEHE F (O GE//()TE-H+(-*( JE-*E TE/ 1GG+,-; 

GPc 7+ /0 8?55-<> GP&9 0>3 *>28>+/+4/3 ./0 8-45,2>+,> ,+*0:;/+9 8>5 /D/280>9 *-.- *0-3/ ./

8-45,2>+,> -8>54-.> /0 3-0.> -*:2:0-.> ./ *-.- *0-3/ ./ >45>3 5/3:04-.>3 ,+4/=5-0/3 ;

:4,0,.-./3 5/4/+,.-3F

GPH R>3 *-2C,>3 /+ /0 8-45,2>+,> ./ :+- /+4,.-.9 /+45/ /0 *>2,/+O> ; /0 *,/55/ ./0 8/5Q>.> 3>C5/ /0

*:-0 3/ ,+<>52- 5/<0/D-+ /0 ,+*5/2/+4> > .,32,+:*,6+ 3:<5,.>3 8>5 3:3 -*4,B>3 +/4>3F

7U*/84> 8>5 0>3 *-2C,>3 85>.:*,.>3 8>5 *-:3- ./ 0-3 >8/5-*,>+/3 *>+ 0>3 .:/V>39 -*4:-+.> /+3: *>+.,*,6+ ./ 4-0/3 ]*>2> 8>5 /D/280> 0>3 -8>54/3 ./ *-8,4-09 0-3 5/*>285-3 8>5 0- /+4,.-.

./ 3:3 85>8,-3 -**,>+/3 ; 0>3 .,B,./+.>3[ ; ./ 0>3 *>34>3 ./ /3-3 45-+3-**,>+/39 0- B-5,-*,6+

=/+/5-0 /U8/5,2/+4-.- 8>5 /0 8-45,2>+,> 5/85/3/+4- /0 2>+4> 4>4-0 ./ 0>3 ,+=5/3>3 ; =-34>39

,+*0:;/+.> 8)5.,.-3 > =-+-+*,-39 =/+/5-.>3 8>5 0-3 -*4,B,.-./3 ./ 0- /+4,.-. .:5-+4/ /3/

8/5Q>.>F

GGP R- NZK c 5/A:,/5/ -D:34/3 5/45>-*4,B>3 8-5- /</*4:-5 *-2C,>3 /+ 0-3 8>0Q4,*-3 *>+4-C0/39 /+ 0-

2/.,.- A:/ 3/-+ 85-*4,*-C0/39 /U*/84> *:-+.> 0-3 .,38>3,*,>+/3 45-+3,4>5,-3 /+ >45- NZZ^

5/A:,/5-+ >45- *>3-F R- NZK c 4-2C,)+ 5/A:,/5/ A:/ 0-3 5/E/U85/3,>+/3 8-5- *>55/=,5 /55>5/3

3/-+ /</*4:-.-3 /+ <>52- 5/45>-*4,B-9 /+ 0- 2/.,.- A:/ 3/- 85-*4,*-C0/F R>3 -D:34/3

5/45>-*4,B>3 ; 0-3 5/E/U85/3,>+/3 5/45>-*4,B-3 +> 3>+ *-2C,>3 /+ /0 8-45,2>+,> 3,+> -D:34/3 -0

3-0.> ,+,*,-0 ./ :4,0,.-./3 5/4/+,.-39 /U*/84> *:-+.> :+- NZZ^ 5/A:,/5/ /0 -D:34/ 5/45>-*4,B> ./

>45> *>28>+/+4/ ./0 8-45,2>+,>F 70 8?55-<> GP& ]C[ 5/A:,/5/ 5/B/0-*,6+ /+ /0 /34-.> ./

Page 197: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 197/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GHI

*-2C,>3 /+ /0 8-45,2>+,> ./0 -D:34/ 4>4-0 ./ *-.- *>28>+/+4/ ./0 8-45,2>+,> 5/3:04-+4/3 ./

*-2C,>3 /+ 0-3 8>0Q4,*-3 *>+4-C0/3 ;9 /+ <>52- 3/8-5-.-9 ./ 0-3 *>55/**,>+/3 ./ /55>5/3F

734>3 -D:34/3 3>+ 5/B/0-.>3 8-5- *-.- 8/5Q>.> -+4/5,>5 ; -0 *>2,/+O> ./0 8/5Q>.>F

&)*1HE H( IO'PE) H( (I(G*+0E 

GGG R- ,+<>52-*,6+ 3>C5/ <0:D>3 ./ /</*4,B> 85>8>5*,>+- - 0>3 :3:-5,>3 ./ 0>3 /34-.>3 <,+-+*,/5>3 :+-

C-3/ 8-5- /B-0:-5 0- *-8-*,.-. ./ 0- /+4,.-. 8-5- =/+/5-5 /</*4,B> ; /</*4,B> /A:,B-0/+4/ ; 0-3

+/*/3,.-./3 ./ 0- /+4,.-. 8-5- :4,0,O-5 /3>3 <0:D>3 ./ /</*4,B>F R- NZK I /34-C0/*/ 0>3

5/A:/5,2,/+4>3 8-5- 0- 85/3/+4-*,6+ ; 5/B/0-*,6+ ./ 0- ,+<>52-*,6+ 3>C5/ <0:D>3 ./ /</*4,B>F

#E*1) 

&)*/'G*'/1 

GG! 81) -E*1) H(X(/h-2 

]-[  T/()(-*1/ +-IE/J1G+,- 1G(/G1 H( O1 X1)( T1/1 O1 T/(T1/1G+,- H( OE) ()*1HE)

I+-1-G+(/E)N 1)g GEJE H( O1) TEOg*+G1) GE-*1XO() ()T(GgI+G1) '*+O+i1HE) H(

1G'(/HE GE- OE) Th//1IE) 33Y 1O 3AKz 

]C[ /(0(O1/ O1 +-IE/J1G+,- /(f'(/+H1 TE/ O1) #""L f'( -E ()*h T/()(-*1H1 (- E*/1

 T1/*( H( OE) ()*1HE) I+-1-G+(/E)z F 

]*[  T/ETE/G+E-1/ +-IE/J1G+,- f'( -E ()*h T/()(-*1H1 (- E*/1 T1/*( H( OE) ()*1HE)

I+-1-G+(/E)N T(/E () /(O(01-*( T1/1 O1 GEJT/(-)+,- H( G'1Of'+(/1 H( (OOE); 

GG# >-1 (-*+H1H H(X(/hN (- O1 J(H+H1 f'( )(1 T/1G*+G1XO(N T/()(-*1/ -E*1) (- '-1 IE/J1

)+)*(Jh*+G1; >-1 (-*+H1H H(X(/h *(-(/ '-1 /(I(/(-G+1G+,- G/'i1H1 (-*/( G1H1 T1/*+H1H(O ()*1HE H( )+*'1G+,- I+-1-G+(/1 F H( ()*1HE +-*(S/1O H( /()'O*1HE)N (- '- ()*1HE H(

/()'O*1HE) )(T1/1HE b)+ )( T/()(-*1R F (- OE) ()*1HE) H( G1JX+E) (- (O T1*/+JE-+E F (-

OE) ()*1HE) H( IO'PE) H( (I(G*+0E 1 G'1Of'+(/ +-IE/J1G+,- /(O1G+E-1H1 (- O1) -E*1); 

GG$ \+- /+4,.-. +>52-02/+4/ 85/3/+4- +>4-3 /+ /0 3,=:,/+4/ >5./+ 8-5- -;:.-5 - 0>3 :3:-5,>3 -

*>285/+./5 0>3 /34-.>3 <,+-+*,/5>3 ; *>28-5-50>3 *>+ /34-.>3 <,+-+*,/5>3 ./ >45-3

/+4,.-./3a

]-[ :+- ./*0-5-*,6+ ./ *:280,2,/+4> *>+ 0-3 NZZ^ ]B/5 8?55-<> G&[X

]C[ :+ 5/3:2/+ ./ 0-3 8>0Q4,*-3 *>+4-C0/3 3,=+,<,*-4,B-3 -80,*-.-3 ]B/5 8?55-<> GGI[X

]*[ ,+<>52-*,6+ ./ -8>;> 8-5- 0-3 8-54,.-3 85/3/+4-.-3 /+ 0>3 /34-.>3 ./ 3,4:-*,6+

<,+-+*,/5- ; ./ /34-.> ,+4/=5-0 ./ 5/3:04-.>39 /+ :+ /34-.> ./ 5/3:04-.> 3/8-5-.> ]3, 3/

85/3/+4-[ ; /+ /0 /34-.> ./ *-2C,>3 /+ /0 8-45,2>+,> ; /+ /0 /34-.> ./ <0:D>3 ./

/</*4,B>9 /+ /0 2,32> >5./+ /+ A:/ <,=:5/+ *-.- :+> ./ 0>3 /34-.>3 ; *-.- :+- ./ 0-3

Page 198: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 198/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GHc

8-54,.-3 A:/ 0>3 *>28>+/+X ;

].[ >45-3 ,+<>52-*,>+/3 - 5/B/0-59 /+45/ 0-3 A:/ 3/ ,+*0:;/+a

],[ 8-3,B>3 *>+4,+=/+4/3 ]B/5 NZK #I[ ; *>285>2,3>3 *>+45-*4:-0/3 +>

5/*>+>*,.>3X /

],,[ ,+<>52-*,6+ ./ *-5?*4/5 +> <,+-+*,/5>9 8>5 /D/280> 0>3 >CD/4,B>3 ; 8>0Q4,*-39

5/0-4,B>3 - 0- =/34,6+ ./0 5,/3=> <,+-+*,/5> ./ 0- /+4,.-. ]B/5 NZZ^ I[F

GG% 7+ *,/54-3 *,5*:+34-+*,-39 8:/./ 3/5 +/*/3-5,> > ./3/-C0/ *-2C,-5 /0 >5./+ ./ *,/54-3

8-54,.-3 ./+45> ./ 0-3 +>4-3F M>5 /D/280>9 :+- /+4,.-. 8:/./ *>2C,+-5 ,+<>52-*,6+ 3>C5/ 0>3

*-2C,>3 /+ /0 B-0>5 D:34>9 5/*>+>*,.>3 /+ :4,0,.-. > 8)5.,.- *>+ ,+<>52-*,6+ 3>C5/ /0

 B/+*,2,/+4> ./ ,+345:2/+4>3 <,+-+*,/5>39 -:+A:/ 0- 85,2/5- ,+<>52-*,6+ 3/ 5/<,/5- -0 /34-.>

,+4/=5-0 ./ 5/3:04-.>3 > -0 /34-.> ./ 5/3:04-.>3 3/8-5-.> ]3, 3/ 85/3/+4-[ ; 0- 3/=:+.- /34)

5/0-*,>+-.- *>+ /0 /34-.> ./ 3,4:-*,6+ <,+-+*,/5-F N> >C34-+4/9 :+- /+4,.-. ./C/ 2-+4/+/59 :+-

/345:*4:5- 3,34/2?4,*- 8-5- 0-3 +>4-3 /+ 0- 2/.,.- A:/ 3/- 85-*4,*-C0/F

GG& \+- /+4,.-. 8:/./ 85/3/+4-5 +>4-3 A:/ 85>8>5*,>+-+ ,+<>52-*,6+ 3>C5/ 0- C-3/ ./

85/8-5-*,6+ ./ 0>3 /34-.>3 <,+-+*,/5>3 ; ./ 8>0Q4,*-3 *>+4-C0/3 /38/*Q<,*-3 *>2> :+- 3/**,6+

3/8-5-.- ./ 0>3 /34-.>3 <,+-+*,/5>3F

=(0(O1G+,- H( O1) TEOg*+G1) GE-*1XO() 

GGI >-1 (-*+H1H H(X(/h /(0(O1/N (- (O /()'J(- f'( GE-*(-S1 O1) TEOg*+G1) GE-*1XO()

)+S-+I+G1*+01)2 

]-[ O1 X1)( E X1)() '*+O+i1H1) (- O1 T/(T1/1G+,- H( OE) ()*1HE) I+-1-G+(/E)z F ]C[ O1) H(Jh) TEOg*+G1) GE-*1XO() (JTO(1H1) f'( )E- /(O(01-*() T1/1 O1

GEJT/(-)+,- H( OE) ()*1HE) I+-1-G+(/E);

GGc 73 ,28>54-+4/ 8-5- :+- /+4,.-. ,+<>52-5 - 0>3 :3:-5,>3 ./ 0- C-3/ ./ B-0>5,O-*,6+ > C-3/3

:4,0,O-.-3 /+ 0>3 /34-.>3 <,+-+*,/5>3 ]8>5 /D/280>a *>34> @,3465,*>9 *>34> *>55,/+4/9 B-0>5 +/4>

5/-0,O-C0/9 B-0>5 D:34> > 2>+4> 5/*:8/5-C0/[9 ./C,.> - A:/ 0- C-3/ 3>C5/ 0- *:-0 :+- /+4,.-.

85/8-5- 0>3 /34-.>3 <,+-+*,/5>3 -</*4- 3,=+,<,*-4,B-2/+4/ -0 -+?0,3,3 ./ 0>3 :3:-5,>3F K:-+.> :+-

/+4,.-. :3- 2?3 ./ :+- C-3/ ./ B-0>5,O-*,6+ /+ 0>3 /34-.>3 <,+-+*,/5>39 8>5 /D/280>9 *:-+.>3/ @-+ 5/B-0>5,O-.> 360> *,/54-3 *0-3/3 ./ -*4,B>39 3/5? 3:<,*,/+4/ 85>8>5*,>+-5 :+- ,+.,*-*,6+

5/38/*4> - 0-3 *-4/=>5Q-3 ./ -*4,B>3 ; 8-3,B>3 - 0>3 *:-0/3 3/ @- -80,*-.> *-.- C-3/ ./

 B-0>5,O-*,6+F

GGH 10 ./*,.,5 3, :+- ./4/52,+-.- 8>0Q4,*- *>+4-C0/ ./C,/5- 3/5 5/B/0-.-9 0- 1.2,+,345-*,6+

*>+3,./5-5? 3, 4-0 5/B/0-*,6+ 8>.5Q- -;:.-5 - 0>3 :3:-5,>3 - *>285/+./5 0- <>52- /+ 0- A:/ 0-3

Page 199: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 199/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) GHH

45-+3-**,>+/3 ; >45>3 @/*@>3 ; *>+.,*,>+/3 @-+ A:/.-.> 5/<0/D-.>3 /+ 0- ,+<>52-*,6+ 3>C5/

/0 ./3/28/V> ; 0- 3,4:-*,6+ <,+-+*,/5-F R- 5/B/0-*,6+ ./ ,+<>52-*,6+ -*/5*- ./ 8>0Q4,*-3

*>+4-C0/3 /38/*Q<,*-39 3/5? /38/*,-02/+4/ b4,0 8-5- 0>3 :3:-5,>3 *:-+.> /34-3 8>0Q4,*-3

@-;-+ 3,.> 3/0/**,>+-.-3 ./ /+45/ 0-3 -04/5+-4,B-3 8/52,4,.-3 8>5 0-3 NZZ^F \+ /D/280> 3/5Q-

0- ,+<>52-*,6+ A:/ 3/ @- ./ 5/B/0-5 3>C5/ 3, /0 8-54Q*,8/ /+ :+ +/=>*,> *>+D:+4> 5/*>+>*/

3:3 ,+4/5/3/3 /+ :+- /+4,.-. *>+45>0-.- *>+D:+4-2/+4/ :3-+.> 0- *>+3>0,.-*,6+

85>8>5*,>+-0 > /0 2)4>.> ./0 B-0>5 8-45,2>+,-0 ]B/5 NZK #G "+$5262?+62#-/* /- M/1#62#* 4#-G'-5#*  [F

 10=:+-3 NZZ^ /U,=/+9 ./ <>52- /38/*Q<,*-9 5/B/0-5 ,+<>52-*,6+ -*/5*- ./ ./4/52,+-.-3

8>0Q4,*-3 *>+4-C0/39 ,+*0:;/+.> 0-3 >8*,>+/3 /3*>=,.-3 8>5 0- 1.2,+,345-*,6+ /+45/

.,</5/+4/3 8>0Q4,*-3 8/52,4,.-3F M>5 /D/280>9 0- NZK G& /U,=/ 5/B/0-5 ,+<>52-*,6+ -*/5*- ./ 0-3

C-3/3 ./ B-0>5,O-*,6+ /280/-.-3 8-5- *-.- :+- ./ 0-3 *0-3/3 ./ -*4,B>3 <,D>3F

G!P K-.- /+4,.-. *>+3,./5- 0- +-4:5-0/O- ./ 3:3 >8/5-*,>+/39 -3Q *>2> 0-3 8>0Q4,*-3 A:/ /0

:3:-5,> ./ 3:3 /34-.>3 <,+-+*,/5>3 /38/5-5Q- A:/ 0/ <:/3/+ 5/B/0-.-3 8-5- /3/ 4,8> ./ /+4,.-.F M>5

/D/280>9 /+ /0 *-3> ./ :+- /+4,.-. 3:D/4- - ,28:/34> - 0- 5/+4-9 3/ 8>.5Q- /38/5-5 A:/ 5/B/0-3/

0-3 8>0Q4,*-3 *>+4-C0/3 3/=:,.-3 -0 5/38/*4>9 ,+*0:;/+.> 0>3 -*4,B>3 ; 8-3,B>3 8>5 ,28:/34>3

.,</5,.>3F K:-+.> :+- /+4,.-. 4/+=- :+ +b2/5> 3,=+,<,*-4,B> ./ +/=>*,>3 > 45-+3-**,>+/3

/+ 2>+/.-3 /U45-+D/5-39 0>3 :3:-5,>3 8>.5Q-+ /38/5-5 A:/ 3/ 5/B/0/+ 0-3 8>0Q4,*-3 *>+4-C0/3

3/=:,.-3 8-5- /0 5/*>+>*,2,/+4> ./ 8)5.,.-3 ; =-+-+*,-3 8>5 .,</5/+*,-3 ./ *-2C,>F

G!G \+- 8>0Q4,*- *>+4-C0/ 8:/./ 3/5 3,=+,<,*-4,B- ./C,.> - 0- +-4:5-0/O- ./ 0-3 >8/5-*,>+/3 ./ 0-

/+4,.-.9 ,+*0:3> 3, 0>3 2>+4>3 8-5- /0 8/5Q>.> -*4:-0 ; -+4/5,>5/3 +> 3>+ 3,=+,<,*-4,B>3F (-2C,)+ /3 -85>8,-.> 5/B/0-5 ,+<>52-*,6+ -*/5*- ./ *-.- 8>0Q4,*- *>+4-C0/ 3,=+,<,*-4,B- A:/ +>

/34) 5/A:/5,.- /38/*Q<,*-2/+4/ 8>5 0-3 NZZ^9 8/5> A:/ 0- /+4,.-. 3/0/**,>+- ; -80,*- ./

-*:/5.> *>+ 0- NZK cF

G!! >-1 (-*+H1H /(0(O1/hN F1 )(1 (- (O /()'J(- H( O1) TEOg*+G1) GE-*1XO() )+S-+I+G1*+01) E (-

E*/1) -E*1)N OE) P'+G+E)N H+I(/(-*() H( 1f'(OOE) /(O1*+0E) 1 O1) ()*+J1G+E-() b0(/ Th//1IE 

3AQRN f'( O1 6HJ+-+)*/1G+,- U1 /(1O+i1HE 1O 1TO+G1/ O1) TEOg*+G1) GE-*1XO() H( O1 (-*+H1H F

f'( *+(-(- (O (I(G*E Jh) )+S-+I+G1*+0E )EX/( OE) JE-*E) /(GE-EG+HE) (- OE) ()*1HE)

I+-1-G+(/E); 

G!# 7+ /0 85>*/3> ./ -80,*-*,6+ ./ 0-3 8>0Q4,*-3 *>+4-C0/3 ./ 0- /+4,.-.9 0- 1.2,+,345-*,6+

5/-0,O- .,B/53>3 D:,*,>39 .,</5/+4/3 ./ 0>3 5/0-4,B>3 - 0-3 /34,2-*,>+/39 A:/ 8:/./+ -</*4-5

3,=+,<,*-4,B-2/+4/ - 0>3 2>+4>3 5/*>+>*,.>3 /+ 0>3 /34-.>3 <,+-+*,/5>3F M>5 /D/280>9 0-

 1.2,+,345-*,6+ 5/-0,O- D:,*,>3 8-5- ./4/52,+-5a

Page 200: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 200/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !PP

]-[ 3, *,/54>3 -*4,B>3 <,+-+*,/5>3 3>+ ,+B/53,>+/3 - 2-+4/+/5 @-34- /0 B/+*,2,/+4>X

]C[ *:?+.> 3/ @-+ 45-+3</5,.> - >45-3 /+4,.-./39 3:34-+*,-02/+4/9 4>.>3 0>3 5,/3=>3 ;

C/+/<,*,>3 3,=+,<,*-4,B>3 ./ 0>3 85>8,/4-5,>3 ./ 0>3 -*4,B>3 <,+-+*,/5>3 ; ./ 0>3

-*4,B>3 -55/+.-.>3X

]*[ 3,9 8>5 3: /3/+*,- /*>+62,*-9 *,/54-3 B/+4-3 ./ C,/+/3 3>+ -*:/5.>3 ./

<,+-+*,-2,/+4> ;9 /+ *>+3/*:/+*,-9 +> >*-3,>+-+ ,+=5/3>3X ;

].[ 3, 0- /3/+*,- /*>+62,*- ./ 0- 5/0-*,6+ /+45/ 0- /+4,.-. ; :+- /+4,.-. *>+ *>2/4,.>

/38/*,-09 ,+.,*- A:/ 0- /+4,.-. *>+45>0- - 0- /+4,.-. *>+ *>2/4,.> /38/*,-0F

G!$ 10=:+-3 ./ 0-3 5/B/0-*,>+/3 /</*4:-.-3 ./ *>+<>52,.-. *>+ /0 8?55-<> G!!9 3>+ /U,=,.-3 8>5

>45-3 NZZ^F M>5 /D/280>9 0- NZK !I /U,=/ - 0- /+4,.-. 5/B/0-5 0-3 5-O>+/3 8>5 0-3 A:/ /0

,+4/5)3 ./ 0- 8-54,*,8-*,6+ /+ 0- 85>8,/.-. +> ,280,*- *>+45>09 5/38/*4> ./ :+- 8-54,*,8-.- A:/

+> 3/ *>+3,./5/ -<,0,-.-9 -:+A:/ 0- /+4,.-. 8>3/-9 .,5/*4- > ,+.,5/*4-2/+4/ - 45-B)3 ./ >45-3-<,0,-.-9 2?3 ./ 0- 2,4-. ./ 3:3 ./5/*@>3 ./ B>4> 5/-0/3 > 8>4/+*,-0/3F R- NZK $P

M5>8,/.-./3 ./ Z+B/53,6+ /U,=/9 *:-+.> 0- *0-3,<,*-*,6+ ./ :+- ./4/52,+-.- ,+B/53,6+

85/3/+4/ .,<,*:04-./39 5/B/0-5 ,+<>52-*,6+ -*/5*- ./ 0>3 *5,4/5,>3 ./3-55>00-.>3 8>5 0- /+4,.-. 8-5-

.,34,+=:,5 0-3 85>8,/.-./3 ./ ,+B/53,6+ ./ 0-3 85>8,/.-./3 >*:8-.-3 8>5 /0 .:/V>9 -3Q *>2> ./

0-3 85>8,/.-./3 2-+4/+,.-3 8-5- 3: B/+4- /+ /0 *:53> >5.,+-5,> ./0 +/=>*,>F

L'(-*() T1/1 O1 ()*+J1G+,- H( +-G(/*+H'JX/() 

G!% >-1 (-*+H1H /(0(O1/h +-IE/J1G+,- /()T(G*E 1 OE) )'T'()*E) f'( (I(G*s1 /()T(G*E 1O

I'*'/E F E*/1) I'(-*() )+S-+I+G1*+01) T1/1 O1 ()*+J1G+,- H( +-G(/*+H'JX/() 1O G+(//( H(O T(/gEHE )EX/( (O G'1O )( +-IE/J1 f'( *+(-(- '- /+()SE )+S-+I+G1*+0E H( /()'O*1/ (- '-

1P')*( )+S-+I+G1*+0E H( OE) 01OE/() H( O+X/E) H( 1G*+0E) F T1)+0E) H(-*/E H(O T/,j+JE 1{E

I+-1-G+(/E; &- /(O1G+,- 1 ()E) 1G*+0E) F T1)+0E)N O1) -E*1) H(X(/h- +-GO'+/ H(*1OO() H(2 

]-[ )' -1*'/1O(i1z F 

]C[ )' 01OE/ H( O+X/E) 1O G+(//( H(O T(/gEHE )EX/( (O G'1O )( +-IE/J1; 

G!& R- ./4/52,+-*,6+ ./0 B-0>5 ./ 0,C5>3 ./ -0=:+>3 -*4,B>3 ; 8-3,B>3 5/A:,/5/ /34,2-5 0>3

/</*4>3 A:/ 3/ ./5,B/+ ./ @/*@>3 <:4:5>3 ,+*,/54>3 3>C5/ /3>3 -*4,B>3 ; 8-3,B>3 -0 *,/55/ ./0

8/5Q>.> 3>C5/ /0 *:-0 3/ ,+<>52-F M>5 /D/280>9 /+ -:3/+*,- ./ 85/*,>3 ./ 2/5*-.>

>C3/5B-.>3 5/*,/+4/2/+4/9 /3 +/*/3-5,> /</*4:-5 /34,2-*,>+/3 -*/5*- ./0 <:4:5> *:-+.> 3/

A:,/5- 2/.,5 /0 B-0>5 5/*:8/5-C0/ ./ 0-3 .,34,+4-3 *0-3/3 ./ -*4,B> <,D>9 /0 /</*4> ./ 0-

>C3>0/3*/+*,- 4/*+>06=,*- 3>C5/ 0-3 /U,34/+*,-39 0-3 85>B,3,>+/3 3:D/4-3 - 0>3 ./3/+0-*/3

<:4:5>3 ./ 0,4,=,>3 /+ *:53> ; 0>3 8-3,B>3 8>5 C/+/<,*,>3 - 0-5=> 80-O> - 0>3 /280/-.>39 *>2> /3

Page 201: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 201/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !PG

/0 *-3> ./ 0-3 >C0,=-*,>+/3 8>5 8/+3,>+/3F 734-3 /34,2-*,>+/3 3/ C-3-+ /+ 3:8:/34>3 3>C5/

 B-5,-C0/3 4-0/3 *>2> 0>3 <0:D>3 ./ /</*4,B> -D:34-.>3 -0 5,/3=> > 0-3 4-3-3 ./ ./3*:/+4>9 0-

/B>0:*,6+ 85/B,34- /+ 0>3 3:/0.>3 ; 0>3 *-2C,>3 /+ 0>3 85/*,>3 A:/ -</*4-+ - >45>3 *>34>3F

G!I R>3 3:8:/34>3 ; >45-3 <:/+4/3 8-5- 0- /34,2-*,6+ ./ 0- ,+*/54,.:2C5/9 5/B/0-.>3 ./ -*:/5.> *>+

/0 8?55-<> G!%9 5/A:,/5/+ ./ 0- 1.2,+,345-*,6+9 D:,*,>3 2?3 .,<Q*,0/3 8>5 0> 3:CD/4,B> >

*>280/D>3 A:/ 3>+F 1 2/.,.- A:/ -:2/+4/ /0 +b2/5> ./ B-5,-C0/3 ; 3:8:/34>3 A:/ -</*4-+ - 0-

8>3,C0/ 5/3>0:*,6+ <:4:5- ./ 0-3 ,+*/54,.:2C5/39 /3>3 D:,*,>3 3/5?+ 2?3 3:CD/4,B>3 ;

*>280/D>3 ; /0 8>4/+*,-0 8-5- :+ *>+3/*:/+4/ -D:34/ 3,=+,<,*-4,B> /+ /0 B-0>5 ./ 0,C5>3 ./ 0>3

-*4,B>3 ; 8-3,B>3 +>52-02/+4/ 3/ B/5? ,+*5/2/+4-.> ./ <>52- 3,2,0-5F

G!c R-3 ,+<>52-*,>+/3 - 5/B/0-5 ./0 8?55-<> G!! +> 3/5?+ +/*/3-5,-3 8-5- 0>3 -*4,B>3 ; 8-3,B>3 A:/

00/B/+ -3>*,-.> :+ 5,/3=> 3,=+,<,*-4,B> -0 3:8>+/5 *-2C,>3 3,=+,<,*-4,B>3 /+ 3: B-0>5 ./+45> ./0

-V> 856U,2> 3,9 -0 *,/55/ ./0 8/5Q>.> 3>C5/ /0 *:-0 3/ ,+<>52-9 3/ B-0>5,O- -0 B-0>5 D:34>9 C-3-.>/+ >C3/5B-*,>+/3 5/*,/+4/3 ./ 0>3 85/*,>3 ./ 2/5*-.>F (-0/3 B-0>5/3 D:34>3 8>.5Q-+ 3:<5,5

*-2C,>3 ,28>54-+4/3 /+ /0 45-+3*:53> ./0 856U,2> -V>9 8/5> 4-0/3 *-2C,>3 +> 3:5=,5Q-+ ./ 0>3

3:8:/34>3 : >45-3 <:/+4/3 ./ /34,2-*,6+ ./ ,+*/54,.:2C5/3 -0 *,/55/ ./0 8/5Q>.> 3>C5/ /0 *:-0

3/ ,+<>52-F

G!H \+- /+4,.-. 85/3/+4- 0-3 ,+<>52-*,>+/3 - 5/B/0-5 ./0 8?55-<> G!% ./ 4-0 <>52- A:/ -;:./ - 0>3

:3:-5,>3 ./ 0>3 /34-.>3 <,+-+*,/5>3 - *>285/+./5 0>3 D:,*,>3 /</*4:-.>3 8>5 0-

 1.2,+,345-*,6+9 3>C5/ /0 <:4:5> ; 3>C5/ >45-3 <:/+4/3 /+ 0- /34,2-*,6+ ./ 0- ,+*/54,.:2C5/F R-

+-4:5-0/O- ; -0*-+*/ ./ 0- ,+<>52-*,6+ 85>8>5*,>+-.- B-5,-5? ./ -*:/5.> *>+ 0-

+-4:5-0/O- ./0 3:8:/34> ; >45-3 *,5*:+34-+*,-3F 7D/280>3 ./ 0>3 4,8>3 ./ ,+<>52-*,6+ -

5/B/0-5 A:/ /</*4b- :+- /+4,.-. 3>+ 0>3 3,=:,/+4/3a

]-[ 0- +-4:5-0/O- ./0 3:8:/34> : >45-3 <:/+4/3 ./ /34,2-*,6+ ./ ,+*/54,.:2C5/3X

]C[ 0- 3/+3,C,0,.-. ./0 B-0>5 ./ 0,C5>3 - 0>3 2)4>.>39 3:8:/34>3 ; /34,2-*,>+/3

,280Q*,4-3 /+ 3: *?0*:0>9 ,+*0:;/+.> 0-3 5-O>+/3 8>5 0- 3/+3,C,0,.-.X

]*[ 0- 5/3>0:*,6+ /38/5-.- ./ :+- ,+*/54,.:2C5/ ; /0 5-+=> ./ 0-3 *>+3/*:/+*,-3

5-O>+-C0/2/+4/ 8>3,C0/3 ./+45> ./0 -V> 856U,2>9 5/38/*4> ./0 B-0>5 ./ 0,C5>3 ./ 0>3-*4,B>3 ; 8-3,B>3 -</*4-.>3X ;

].[ /+ /0 *-3> A:/ 0- ,+*/54,.:2C5/ *>+4,+b/ 3,+ 5/3>0B/53/9 :+- /U80,*-*,6+ ./ 0>3

*-2C,>3 /</*4:-.>3 /+ 0>3 3:8:/34>3 -+4/5,>5/3 /+ 5/0-*,6+ *>+ /3>3 -*4,B>3 ;

8-3,B>3F

Page 202: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 202/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !P!

G#P 734- N>52- +> 5/A:,/5/ A:/ :+- /+4,.-. 5/B/0/ ,+<>52-*,6+ 85/3:8:/34-5,- > 85>+>34,*-.- -0

/</*4:-5 0-3 5/B/0-*,>+/3 ./0 8?55-<> G!%F

G#G 1 B/*/3 /3 ,285-*4,*-C0/ 5/B/0-5 /0 -0*-+*/ ./ 0>3 8>3,C0/3 /</*4>3 ./ :+ 3:8:/34> : >45-

<:/+4/ ./ /34,2-*,6+ ./ ,+*/54,.:2C5/3 -0 *,/55/ ./0 8/5Q>.> 3>C5/ /0 *:-0 3/ ,+<>52-F 7+

4-0/3 *-3>39 0- /+4,.-. 5/B/0- A:/ /3 5-O>+-C0/2/+4/ 8>3,C0/ A:/9 3>C5/ 0- C-3/ ./0

*>+>*,2,/+4> -*4:-09 0>3 ./3/+0-*/3 ./+45> ./0 856U,2> -V> <,+-+*,/5> A:/ 3>+ .,</5/+4/3 ./0

3:8:/34>9 8>.5Q-+ 5/A:/5,5 :+ -D:34/ 3,=+,<,*-4,B> ./0 B-0>5 ./ 0,C5>3 ./0 -*4,B> > 8-3,B>

-</*4-.>3F 7+ 4>.>3 0>3 *-3>39 0- /+4,.-. 5/B/0- 0- +-4:5-0/O- ; /0 B-0>5 ./ 0,C5>3 ./0 -*4,B> >

8-3,B> /38/*Q<,*> ]> *0-3/3 ./ -*4,B>3 > 8-3,B>3[ -</*4-.>3 8>5 /0 3:8:/34>F

G#! R-3 5/B/0-*,>+/3 5/A:/5,.-3 8>5 /0 8?55-<> G!!9 3>C5/ 0>3 D:,*,>3 8-54,*:0-5/3 /</*4:-.>3 8>5 0-

 1.2,+,345-*,6+ /+ /0 85>*/3> ./ -80,*-*,6+ ./ 0-3 8>0Q4,*-3 *>+4-C0/3 ./ 0- /+4,.-.9 +> /34?+

5/0-*,>+-.-3 *>+ 0-3 ,+<>52-*,>+/3 - 5/B/0-5 -*/5*- ./ <:/+4/3 8-5- 0- /34,2-*,6+ ./

,+*/54,.:2C5/3 *>+4/280-.-3 /+ /0 8?55-<> G!%F

G## e45-3 NZZ^ 5/A:,/5/+ 0- 5/B/0-*,6+ ./ -0=:+> ./ 0>3 3:8:/34>39 A:/ ./ >45> 2>.> 3/5Q- 5/A:/5,.- ./

-*:/5.> *>+ /0 8?55-<> G!%F M>5 /D/280>9 0- NZK #I /U,=/ 5/B/0-59 /+ *,5*:+34-+*,-3

/38/*Q<,*-39 0>3 85,+*,8-0/3 3:8:/34>3 3>C5/ 0>3 @/*@>3 <:4:5>3 A:/ -</*4/+ - 0-3 .,</5/+4/3 *0-3/3 ./

85>B,3,>+/3F R- NZZ^ I /U,=/ 5/B/0-5 0>3 3:8:/34>3 3,=+,<,*-4,B>3 -80,*-.>3 /+ 0- /34,2-*,6+ ./0

 B-0>5 D:34> ./ 0>3 -*4,B>3 ; 8-3,B>3 <,+-+*,/5>39 A:/ 3/ *>+4-C,0,O-+ -0 B-0>5 D:34>F R- NZK G& /U,=/

5/B/0-5 0>3 3:8:/34>3 3,=+,<,*-4,B>3 A:/ 0- /+4,.-. :4,0,O- /+ 0- /34,2-*,6+ ./0 B-0>5 D:34> ./ 0-3

8-54,.-3 ./ -*4,B> <,D> A:/ 3/ @-;-+ 5/B-0>5,O-.>F%1T+*1O 

G#$ >-1 (-*+H1H /(0(O1/h +-IE/J1G+,- f'( T(/J+*1 1 OE) ')'1/+E) H( OE) ()*1HE) I+-1-G+(/E)

(01O'1/ OE) EXP(*+0E)N TEOg*+G1) F T/EG()E) T1/1 1HJ+-+)*/1/ 1O G1T+*1O H( O1 (-*+H1H; 

G#% M-5- *:280,5 *>+ /0 8?55-<> G#$ 0- /+4,.-. 5/B/0- 0- 3,=:,/+4/ ,+<>52-*,6+a

]-[ ,+<>52-*,6+ *:-0,4-4,B- 3>C5/ 3:3 >CD/4,B>39 8>0Q4,*-3 ; 85>*/3>3 8-5- -.2,+,345-5 -0

*-8,4-09 ,+*0:;/+.>a

],[ :+- ./3*5,8*,6+ ./ 0> A:) -.2,+,345- *>2> *-8,4-0F

],,[ *:-+.> :+- /+4,.-. 3/ /+*:/+45- 5/=,.- - 5/A:/5,2,/+4>3 /U4/5+>3 ./ *-8,4-09 0-

+-4:5-0/O- ./ /3>3 5/A:/5,2,/+4>3 ; *62> /3>3 5/A:/5,2,/+4>3 3>+ ,+*>58>5-.>3 - 0-

-.2,+,345-*,6+ ./0 *-8,4-0X ;

],,,[ *62> /34? *:280,/+.> *>+ 3:3 >CD/4,B>3 8-5- -.2,+,345-5 /0 *-8,4-0F

Page 203: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 203/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !P#

]C[ ,+<>52-*,6+ *:-+4,4-4,B- 5/3:2,.- 3>C5/ 0> A:) 3/ -.2,+,345- *>2> *-8,4-0F 10=:+-3

/+4,.-./3 *>+3,./5-+ -0=:+>3 8-3,B>3 <,+-+*,/5>3 ]*>2>9 8>5 /D/280>9 -0=:+-3 <>52-3 ./

./:.- 3:C>5.,+-.-[ *>2> 8-54/ ./0 *-8,4-0F e45-3 /+4,.-./3 *>+3,./5-+ /0 *-8,4-0 *>2>

/U*0:;/+4/ ./ -0=:+>3 *>28>+/+4/3 ./ 8-45,2>+,> ]*>2>9 8>5 /D/280>9

*>28>+/+4/3 A:/ 3:5=/+ ./ *>C/54:5-3 ./ <0:D>3 ./ /</*4,B>[F

]*[ *:-0A:,/5 *-2C,> /+ ]-[ ; ]C[ ./3./ /0 8/5Q>.> -+4/5,>5F

].[ 3, .:5-+4/ /0 8/5Q>.> *:280,6 *>+ 0>3 5/A:/5,2,/+4>3 /U4/5+>3 ./ *-8,4-0 -0 *:-0 3/

/+*:/+45- 3:D/4>F

]/[ *:-+.> 0- /+4,.-. +> @- *:280,.> *>+ 0>3 5/A:/5,2,/+4>3 /U4/5+>3 ,28:/34>3 -0 *-8,4-09 0-3

*>+3/*:/+*,-3 ./ 4-0 ,+*:280,2,/+4>F

R- /+4,.-. C-3- /34-3 5/B/0-*,>+/3 /+ 0- ,+<>52-*,6+ 85>8>5*,>+-.- ,+4/5+-2/+4/ 8>5 8/53>+-0

*0-B/ ./ 0- 1.2,+,345-*,6+F

G#& \+- /+4,.-. 8:/./ -.2,+,345-5 /0 *-8,4-0 ./ B-5,-3 <>52-3 ; 8:/./ /34-5 3:D/4- - :+- B-5,/.-. ./

.,</5/+4/3 5/A:/5,2,/+4>3 ./ *-8,4-0F M>5 /D/280>9 :+ *>+=0>2/5-.> 8:/./ ,+*0:,5 /+4,.-./3 A:/

/34?+ *>285>2/4,.>3 /+ -*4,B,.-./3 ./ 3/=:5>3 ; C-+*-5,-3 ; /3-3 2,32-3 /+4,.-./3 8:/./+

>8/5-5 /+ B-5,-3 D:5,3.,**,>+/3F K:-+.> :+- 5/B/0-*,6+ Q+4/=5- ./ 0>3 5/A:/5,2,/+4>3 ./0 *-8,4-0 ;

*62> )34/ 3/ -.2,+,345-9 +> 85>8>5*,>+-5Q- ,+<>52-*,6+ b4,0 > .,34>53,>+-5Q- /0 /+4/+.,2,/+4> ./

0>3 /34-.>3 <,+-+*,/5>3 8>5 8-54/ ./0 :3:-5,> 5/38/*4> - 0>3 5/*:53>3 ./ *-8,4-0 ./ 0- /+4,.-.9 0-

/+4,.-. 5/B/0-5? ,+<>52-*,6+ 3/8-5-.- 8-5- *-.- 5/A:/5,2,/+4> ./ *-8,4-0 -0 *:-0 3/ /+*:/+45-

3:D/4> 0- /+4,.-.F4*/1) +-IE/J1G+E-() 1 /(0(O1/ 

G#I >-1 (-*+H1H /(0(O1/h (- O1) -E*1)2 

]-[ (O JE-*E H( OE) H+0+H(-HE) T/ET'()*E) E H(GO1/1HE) 1-*() f'( OE) ()*1HE)

I+-1-G+(/E) U1F1- )+HE 1'*E/+i1HE) T1/1 )' (J+)+,-N f'( -E U1F1- )+HE

/(GE-EG+HE) GEJE H+)*/+X'G+,- 1 OE) 1GG+E-+)*1) H'/1-*( (O T(/gEHEN 1)g GEJE (O

GE//()TE-H+(-*( JE-*E TE/ 1GG+,-z F 

]C[ (O JE-*E H( G'1Of'+(/ H+0+H(-HE T/(I(/(-*( H( G1/hG*(/ 1G'J'O1*+0E f'( -E U1F1

)+HE /(GE-EG+HE; 

G#c >-1 (-*+H1H /(0(O1/h OE )+S'+(-*(N )+ -E U1 /(0(O1HE (- E*/1 T1/*( H( O1 +-IE/J1G+,-

 T'XO+G1H1 GE- OE) ()*1HE) I+-1-G+(/E)2 

]-[ (O HEJ+G+O+E F IE/J1 O(S1O H( O1 (-*+H1HN (O T1g) (- f'( )( U1 GE-)*+*'+HE F O1

H+/(GG+,- H( )' )(H( )EG+1O bE (O HEJ+G+O+E T/+-G+T1O HE-H( H()1//EOO( )')

Page 204: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 204/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !P$

1G*+0+H1H()N )+ I'()( H+I(/(-*( 1 O1 )(H( )EG+1ORz 

]C[ '-1 H()G/+TG+,- H( O1 -1*'/1O(i1 H( O1) ET(/1G+E-() H( O1 (-*+H1HN 1)g GEJE H( )')

 T/+-G+T1O() 1G*+0+H1H()z F 

]*[ (O -EJX/( H( O1 <1*/+i F H( O1 <1*/+i sO*+J1 H(O S/'TE;

5/1-)+G+,- F I(GU1 H( 0+S(-G+1 

G#H \+- /+4,.-. -80,*-5? /34- N>52- 8-5- 0>3 8/5Q>.>3 -+:-0/3 A:/ *>2,/+*/+ /0 > *>+ 8>34/5,>5,.-. -0 G

./ /+/5> ./ !PPHF

G#H 1 R- NZK !I ]2>.,<,*-.- /+ !PPc[ 2>.,<,*6 /0 8?55-<> GP&F \+- /+4,.-. ./C/5? -80,*-5 /3-

2>.,<,*-*,6+ 8-5- 8/5Q>.>3 -+:-0/3 A:/ *>2,/+*/+ /0 > ./38:)3 ./0 G ./ D:0,> ./ !PPHF W, :+-

/+4,.-. -80,*- 0- NZK !I ]2>.,<,*-.- /+ !PPc[ 8-5- :+ 8/5Q>.> -+4/5,>59 0- 2>.,<,*-*,6+ ./C/5?

3/5 -80,*-.- 8-5- /3/ 8/5Q>.> -+4/5,>5F R- 2>.,<,*-*,6+ ./C/5? 3/5 -80,*-.-5/45>-*4,B-2/+4/F

=(*+/E H( #"% 3 bJEH+I+G1H1 (- A``DR 

G$P N> -80,*-C0/ /+ K@,0/

 6-(jE 

<EH+I+G1G+E-() 1 E*/E) ./E-'-G+1J+(-*E) 

 M# +?)26+8)/ /- 4=2)/E 

}}}}} 

V+* 6#$$/662#-/* 6#-5/-2.+* /- /*5/ +-/F# 6'+-.# /*5+ M#$,+ 9'/ ,#.2926+.+ /- Ydd^@ =+- *2.# 2-6#$?#$+.+* + )+ M00S $/)/A+-5/

 ?'8)26+.+ /- /*5/ A#)',/-E

Page 205: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 205/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !P%

3V;D   6 #&d4 D2 L 6%5>=6  

Page 206: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 206/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !P&

3V;K   6 #&d4 K2 L 6%5>=6 &d&#56  

Page 207: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 207/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !PI

3V;Q   6 #&d4 Q2 ?>W6 $& $&:.6%c4 

Page 208: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 208/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !Pc

3V;V   6 #&d4 V2 #456 $& $&7"54;

Page 209: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 209/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !PH

3V;Y   6 #&d4 Y2 #456 $& %=a$"54 

Page 210: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 210/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !GP

3V;[   6 #&d4 [2 #"% A

#4=<6 "#5&=#6%"4#68 $& %4#567"8"$6$ #E A b#"% AR b=&C":6$6 &# 3^^DR

&j+)*(-G+1) 

R- 85/3/+4/ N>52-9 5/B,3-.- /+ GHH#9 /34-5? B,=/+4/ 8-5- 0>3 /34-.>3 <,+-+*,/5>3 A:/ -C-5A:/+

/D/5*,*,>3 A:/ *>2,/+*/+ - 8-54,5 ./0 G ./ /+/5> ./ GHH%9 3:34,4:;/+.> - 0- NZK !9 f-0>5-*,6+ ;

M5/3/+4-*,6+ ./ 0-3 7U,34/+*,-3 3/=b+ /0 W,34/2- ./0 K>34/ J,3465,*>9 -85>C-.- 8>5 /0 K>+3/D> ./0 Z1WK

/+ >*4:C5/ ./ GHI%F

7+ 2-;> ./ GHHH9 0- NZK GP ]5/B,3-.- /+ GHHH[9 J/*@>3 M>34/5,>5/3 - 0- ^/*@- ./0 S-0-+*/9

2>.,<,*6 /0 8?55-<> !cF 70 4/U4> 2>.,<,*-.> 4/+.5? B,=/+*,- *:-+.> /+45/ /+ B,=>5 0- NZK GP ]5/B,3-.- /+

GHHH[9 /3 ./*,59 8-5- 0>3 /34-.>3 <,+-+*,/5>3 -+:-0/3 A:/ -C-5A:/+ /D/5*,*,>3 *:;> *>2,/+O> 3/- - 8-54,5 ./0

G ./ /+/5> ./ !PPPF7+ .,*,/2C5/ ./ !PPP9 0- NZK $G9 1=5,*:04:5-9 2>.,<,*6 /0 8?55-<> G / ,+3/546 /0 8?55-<> G& 1F R-

2>.,<,*-*,6+ ./0 4/U4> /+45- /+ B,=>5 8-5- 0>3 /34-.>3 <,+-+*,/5>3 -+:-0/3 A:/ -C-5A:/+ /D/5*,*,>3 A:/

*>2,/+*/+ - 8-54,5 ./0 G ./ /+/5> ./ !PP#F

W/ @- /2,4,.> :+- Z+4/585/4-*,6+ WZK A:/ 4,/+/ 5/0-*,6+ *>+ 0- NZK !9 3/ 45-4- ./ 0-a

 — WZKEGa \+,<>52,.-. —  `,</5/+4/3 ^652:0-3 8-5- /0 K?0*:0> ./0 K>34/ ./ 0-3 7U,34/+*,-3F

R- 8-54/ +>52-4,B- ./ /34/ M5>+:+*,-2,/+4>9 A:/ -8-5/*/ /+ 0/45- *:53,B- +/=5,4-9 ./C/ 3/5

/+4/+.,.- /+ /0 *>+4/U4> ./ 0-3 /U80,*-*,>+/3 ; .,5/*45,*/3 5/0-4,B-3 - 3: -80,*-*,6+9 -3Q *>2> /+

*>+3>+-+*,- *>+ /0 M560>=> - 0-3 N>52-3 Z+4/5+-*,>+-0/3 ./ K>+4-C,0,.-.F N> 3/ 85/4/+./ A:/ 0-3

N>52-3 Z+4/5+-*,>+-0/3 ./ K>+4-C,0,.-. 3/-+ ./ -80,*-*,6+ /+ /0 *-3> ./ 8-54,.-3 +> 3,=+,<,*-4,B-3 ]B)-3/

/0 8?55-<> G! ./0 M560>=>[F

47B&5"C4

70 >CD/4,B> ./ /34- N>52- /3 85/3*5,C,5 /0 45-4-2,/+4> *>+4-C0/ ./ 0-3 /U,34/+*,-3 ./+45> ./0

3,34/2- ./ B-0>5-*,6+ ./0 *>34/ @,3465,*>F \+ 4/2- <:+.-2/+4-0 /+ 0- *>+4-C,0,.-. ./ 0-3 /U,34/+*,-3 /3 0-

*-+4,.-. ./ *>34/3 A:/ 3/ 5/*>+>*/+ *>2> :+ -*4,B> ; 3/ .,<,/5/+ @-34- A:/ 0>3 ,+=5/3>3 >5.,+-5,>3

*>55/0-*,>+-.>3 3/-+ 5/*>+>*,.>3F 734- N>52- *>+34,4:;/ :+- =:Q- 85?*4,*- 8-5- 0- ./4/52,+-*,6+ ./0*>34/ ; 3: *>+3,=:,/+4/ 5/*>+>*,2,/+4> *>2> =-34> ./0 /D/5*,*,>9 ,+*0:;/+.> 4-2C,)+ *:-0A:,/5 ./4/5,>5>

A:/ 5/.:O*- /0 ,28>54/ /+ 0,C5>3 -0 B-0>5 +/4> 5/-0,O-C0/F (-2C,)+ 3,5B/ ./ =:Q- 3>C5/ 0-3 <652:0-3 ./ *>34/

A:/ 3/ :3-+ 8-5- *-0*:0-5 0>3 *>34/3 ./ 0-3 /U,34/+*,-3F

Page 211: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 211/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !GG

 68%6#%&

GF  &)*1 #E/J1 H(X( )(/ 1TO+G1H1N H(-*/E H( OE) ()*1HE) I+-1-G+(/E) T/(T1/1HE) (- (O

GE-*(j*E H(O )+)*(J1 H( GE)*( U+)*,/+GEN T1/1 GE-*1X+O+i1/ O1) (j+)*(-G+1) f'( -E )(1-2

]-[  EX/1 (- G'/)EN T/E0(-+(-*( H( GE-*/1*E) H( GE-)*/'GG+,-N +-GO'F(-HE OE) GE-*/1*E)

H( )(/0+G+E /(O1G+E-1HE) GE- (OO1 b0e1)( O1 #"% 33N %E-*/1*E) H( %E-)*/'GG+,-Rz

]C[  +-)*/'J(-*E) I+-1-G+(/E)z F

]*[  (j+)*(-G+1) T/EG(H(-*() H( O1 T/EH'GG+,- 1S/gGEO1 F IE/()*1ON J(-1) H( J+-(/1O F

 T/EH'G*E) 1S/gGEO1)N f'( ()*e- (- TEH(/ H( OE) T/EH'G*E/()N )+(JT/( f'( )(1-

01OE/1HE) )(Ss- (O 01OE/ -(*E /(1O+i1XO( H( 1G'(/HE GE- O1) T/hG*+G1)

*/1H+G+E-1OJ(-*( ()*1XO(G+H1) (- G+(/*1) +-H')*/+1);

].[  1G*+0E) X+EO,S+GE) /(O1G+E-1HE) GE- O1 1G*+0+H1H 1S/gGEO1 b0e1)( #"% K3N

 6S/+G'O*'/1R;

!F  R- 85/3/+4/ N>52- 3:34,4:;/ - 0- NZK !9 f-0>5-*,6+ ; M5/3/+4-*,6+ ./ 0-3 7U,34/+*,-3 3/=b+ /0

W,34/2- ./0 K>34/ J,3465,*>9 -85>C-.- /+ GHI%F

#F  R-3 /U,34/+*,-3 - A:/ 3/ @- @/*@> 5/</5/+*,- /+ G]*[ 3/ 2,./+ -0 B-0>5 +/4> 5/-0,O-C0/ /+ *,/54-3

/4-8-3 ./ 0- 85>.:**,6+F 700> >*:55/9 8>5 /D/280>9 *:-+.> 3/ @-+ 5/*>=,.> 0-3 *>3/*@-3 -=5Q*>0-3 >

3/ @-+ /U45-Q.> 0-3 2/+-3 ./0 2,+/5-09 3,/285/ A:/ 3: B/+4- /34) -3/=:5-.- 8>5 :+ *>+45-4> ./

<:4:5> > 0- =-5-+4Q- ./ 0-3 1.2,+,345-*,>+/3 MbC0,*-39 > C,/+ *:-+.> /U,34/ :+ 2/5*-.>

@>2>=)+/> .>+./ /0 5,/3=> ./ <5-*-3-5 /+ 0- B/+4- /3 2Q+,2>F (-0/3 /U,34/+*,-39 *>2> 3/ @-

.,*@>9 *-/+ <:/5- ./0 -0*-+*/ ./ 0- 85/3/+4/ N>52-F$&L"#"%"4#&:

$F  8E) )+S'+(-*() *e/J+-E) )( ')1-N (- O1 T/()(-*( #E/J1N GE- (O )+S-+I+G1HE f'( 1

GE-*+-'1G+,- )( ()T(G+I+G12 &j+)*(-G+1) )E- 1G*+0E)2

]-[  TE)(gHE) T1/1 )(/ 0(-H+HE) (- (O G'/)E -E/J1O H( O1 (jTOE*1G+,-z

]C[ (- T/EG()E H( T/EH'GG+,- H( G1/1 1 *1O 0(-*1z E

]*[  (- O1 IE/J1 H( J1*(/+1O() E )'J+-+)*/E)N T1/1 )(/ GE-)'J+HE) (- (O T/EG()E H(

 T/EH'GG+,-N E (- O1 T/()*1G+,- H( )(/0+G+E);

C1OE/ -(*E /(1O+i1XO( () (O T/(G+E ()*+J1HE H( 0(-*1 H( '- 1G*+0E (- (O G'/)E -E/J1O H( O1

(jTOE*1G+,-N J(-E) OE) GE)*() ()*+J1HE) T1/1 *(/J+-1/ )' T/EH'GG+,- F OE) -(G()1/+E) T1/1 OO(01/

1 G1XE O1 0(-*1; 

%F  7+ 0-3 /U,34/+*,-3 4-2C,)+ 3/ ,+*0:;/+ 0>3 C,/+/3 *>285-.>3 ; -02-*/+-.>3 8-5- 5/B/+./59 /+45/

0>3 A:/ 3/ /+*:/+45-+9 8>5 /D/280>9 0-3 2/5*-./5Q-3 -.A:,5,.-3 8>5 :+ 2,+>5,34- 8-5- 5/B/+./5 -

Page 212: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 212/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !G!

3:3 *0,/+4/39 -3Q *>2> 0>3 4/55/+>3 : >45>3 -*4,B>3 ,+2>C,0,-5,>3 A:/ 3/ 4,/+/+ 8-5- 3/5 B/+.,.>3 -

4/5*/5>3F (-2C,)+ 3>+ /U,34/+*,-3 0>3 85>.:*4>3 4/52,+-.>3 > /+ *:53> ./ <-C5,*-*,6+ 8>5 0-

/285/3-9 -3Q *>2> 0>3 2-4/5,-0/3 ; 3:2,+,345>3 8-5- 3/5 :3-.>3 /+ /0 85>*/3> 85>.:*4,B>F 7+ /0

*-3> ./ :+ 85/34-.>5 ./ 3/5B,*,>39 4-0 *>2> 3/ ./3*5,C/ /+ /0 8?55-<> G&9 0-3 /U,34/+*,-3 3/

 B-0>5-5?+ 8>5 /0 *>34/ ./ 0>3 3/5B,*,>3 8-5- 0>3 A:/ 0- /285/3- -b+ +> @- 5/*>+>*,.> /0 ,+=5/3>

*>55/38>+.,/+4/ ]B)-3/ 0- NZK Gc9 Z+=5/3>3 e5.,+-5,>3[F

 C684=6%"@# $& 86: &d":5&#%"6:

&F  81) (j+)*(-G+1) H(X(- )(/ 01OE/1H1) 1O GE)*( E 1O 01OE/ -(*E /(1O+i1XO(N )(Ss- G'hO )(1

J(-E/;

4#*5/ ./ )+* /F2*5/-62+*  

IF  &O GE)*( H( O1) (j+)*(-G+1) H(X( GEJT/(-H(/ *EHE) OE) GE)*() H(/+01HE) H( O1 1Hf'+)+G+,- F

*/1-)IE/J1G+,- H( O1) J+)J1)N 1)g GEJE E*/E) GE)*() (- OE) f'( )( U1 +-G'//+HE T1/1

H1/O() )' GE-H+G+,- F 'X+G1G+,- 1G*'1O();

K > 3 4 / 3 . / - . A : , 3 , * , 6 +

cF  70 *>34/ ./ -.A:,3,*,6+ ./ 0-3 /U,34/+*,-3 *>285/+./5? /0 85/*,> ./ *>285-9 ,+*0:;/+.> -5-+*/0/3

./ ,28>54-*,6+ ; >45>3 ,28:/34>3 ]A:/ +> 3/-+ 5/*:8/5-C0/3 8>5 0- /285/3- ./ 0-3 -:4>5,.-./3

<,3*-0/3[9 0>3 45-+38>54/39 /0 -02-*/+-2,/+4> ; >45>3 *>34/3 .,5/*4-2/+4/ -45,C:,C0/3 - 0- -.A:,3,*,6+

./ 0-3 2/5*-./5Q-39 0>3 2-4/5,-0/3 > 0>3 3/5B,*,>3F R>3 ./3*:/+4>3 *>2/5*,-0/39 0-3 5/C-D-3 ; >45-3

8-54,.-3 3,2,0-5/3 3/ ./.:*,5?+ 8-5- ./4/52,+-5 /0 *>34/ ./ -.A:,3,*,6+F

HF  70 *>34/ ./ -.A:,3,*,6+ 8:/./ ,+*0:,5 .,</5/+*,-3 ./ *-2C,> A:/ 3:5D-+ .,5/*4-2/+4/ ./ 0- *>285-5/*,/+4/ ./ /U,34/+*,-3 <-*4:5-.-3 /+ :+- 2>+/.- /U45-+D/5-9 3,/285/ A:/ 3/ *:280-+ 0-3 /38/*,-0/3

*,5*:+34-+*,-3 *>+4/280-.-3 /+ /0 45-4-2,/+4> -04/5+-4,B> 8/52,4,.> /+ 0- NZK !G9 7</*4>3 ./ 0-3

 f-5,-*,>+/3 /+ 0>3 (,8>3 ./ K-2C,> ./ 0- _>+/.- 7U45-+D/5-[F

K > 3 4 / 3 . / 4 5 - + 3 < > 5 2 - * , 6 +

GPF R>3 *>34/3 ./ 45-+3<>52-*,6+ ./ 0-3 /U,34/+*,-3 *>285/+./5?+ -A:/00>3 *>34/3 .,5/*4-2/+4/

5/0-*,>+-.>3 *>+ 0-3 :+,.-./3 85>.:*,.-39 4-0/3 *>2> 0- 2-+> ./ >C5- .,5/*4-F (-2C,)+

*>285/+./5?+ :+- 8-54/9 *-0*:0-.- ./ <>52- 3,34/2?4,*-9 ./ 0>3 *>34/3 ,+.,5/*4>39 B-5,-C0/3 > <,D>39

/+ 0>3 A:/ 3/ @- ,+*:55,.> 8-5- 45-+3<>52-5 0-3 2-4/5,-3 85,2-3 /+ 85>.:*4>3 4/52,+-.>3F K>34/3

,+.,5/*4>3 <,D>3 3>+ 4>.>3 -A:)00>3 A:/ 8/52-+/*/+ 5/0-4,B-2/+4/ *>+34-+4/3 *>+ ,+./8/+./+*,-

./0 B>0:2/+ ./ 85>.:**,6+9 4-0/3 *>2> 0- ./85/*,-*,6+ ; 2-+4/+,2,/+4> ./ 0>3 /.,<,*,>3 ; /A:,8>3

./ 0- <?C5,*-9 -3Q *>2> /0 *>34/ ./ =/34,6+ ; -.2,+,345-*,6+ ./ 0- 80-+4-F K>34/3 ,+.,5/*4>3 B-5,-C0/3

3>+ 4>.>3 -A:)00>3 A:/ B-5Q-+ .,5/*4-2/+4/9 > *-3, .,5/*4-2/+4/9 *>+ /0 B>0:2/+ ./ 85>.:**,6+

Page 213: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 213/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !G#

>C4/+,.-9 4-0/3 *>2> 0>3 2-4/5,-0/3 ; 0- 2-+> ./ >C5- ,+.,5/*4-F

GGF 70 85>*/3> ./ .,345,C:*,6+ ./ 0>3 *>34/3 ,+.,5/*4>3 <,D>3 - 0>3 *>34/3 ./ 45-+3<>52-*,6+ 3/ C-3-5?

/+ 0- *-8-*,.-. +>52-0 ./ 45-C-D> ./ 0>3 2/.,>3 ./ 85>.:**,6+F K-8-*,.-. +>52-0 /3 0-

85>.:**,6+ A:/ 3/ /38/5- *>+3/=:,5 /+ *,5*:+34-+*,-3 +>52-0/39 *>+3,./5-+.> /0 85>2/.,> ./

 B-5,>3 /D/5*,*,>3 > 4/28>5-.-39 ; 4/+,/+.> /+ *:/+4- 0- 8)5.,.- ./ *-8-*,.-. A:/ 5/3:04- ./ 0-3

>8/5-*,>+/3 85/B,34-3 ./ 2-+4/+,2,/+4>F M:/./ :3-53/ /0 +,B/0 5/-0 ./ 85>.:**,6+ 3,/285/ A:/ 3/

-85>U,2/ - 0- *-8-*,.-. +>52-0F R- *-+4,.-. ./ *>34/ ,+.,5/*4> <,D> .,345,C:,.> - *-.- :+,.-. ./

85>.:**,6+ +> 3/ ,+*5/2/+4-5? *>2> *>+3/*:/+*,- ./ :+ +,B/0 C-D> ./ 85>.:**,6+9 +, 8>5 0-

/U,34/+*,- ./ *-8-*,.-. >*,>3-F R>3 *>34/3 ,+.,5/*4>3 +> .,345,C:,.>3 3/ 5/*>+>*/5?+ *>2> =-34>3

./0 /D/5*,*,> /+ A:/ @-+ 3,.> ,+*:55,.>3F 7+ 8/5,>.>3 ./ 85>.:**,6+ -+>52-02/+4/ -04-9 0-

*-+4,.-. ./ *>34/ ,+.,5/*4> .,345,C:,.> - *-.- :+,.-. ./ 85>.:**,6+ 3/ .,32,+:,5?9 ./ 2-+/5- A:/

+> 3/ 2,.-+ 0-3 /U,34/+*,-3 8>5 /+*,2- ./0 *>34/ 5/-0F R>3 *>34/3 ,+.,5/*4>3 B-5,-C0/3 3/

.,345,C:,5?+ - *-.- :+,.-. ./ 85>.:**,6+ 3>C5/ 0- C-3/ ./0 +,B/0 5/-0 ./ :3> ./ 0>3 2/.,>3 ./

85>.:**,6+F

G!F 70 85>*/3> ./ 85>.:**,6+ 8:/./ .-5 0:=-5 - 0- <-C5,*-*,6+ 3,2:04?+/- ./ 2?3 ./ :+ 85>.:*4>F

734/ /3 /0 *-3>9 8>5 /D/280>9 ./ 0- 85>.:**,6+ *>+D:+4- > ./ 0- 85>.:**,6+ ./ 85>.:*4>3

85,+*,8-0/3 D:+4> - 3:C85>.:*4>3F W,/285/ A:/ 0>3 *>34/3 ./ 45-+3<>52-*,6+ ./ *-.- 4,8> ./

85>.:*4> +> 3/-+ ,./+4,<,*-C0/3 8>5 3/8-5-.> 3/5? +/*/3-5,> .,345,C:,5 /0 *>34/ 4>4-0 /+45/ 0>3

85>.:*4>3 3>C5/ C-3/3 :+,<>52/3 ; 5-*,>+-0/3F R- .,345,C:*,6+ 8:/./ C-3-53/9 8>5 /D/280>9 /+ /0

 B-0>5 ./ 2/5*-.> ./ *-.- 85>.:*4>9 ;- 3/- *>2> 85>.:**,6+ /+ *:53>9 /+ /0 2>2/+4> /+ A:/ 0>385>.:*4>3 *>2,/+O-+ - 8>./5 ,./+4,<,*-53/ 8>5 3/8-5-.>9 ;- 3/- -0 @-C/5 *>280/4-.> /0 85>*/3>

85>.:*4,B>F R- 2-;>5Q- ./ 0>3 3:C85>.:*4>39 8>5 3: 85>8,- +-4:5-0/O-9 4,/+/+ B-0>5/3 +>

3,=+,<,*-4,B>3F K:-+.> )34/ /3 /0 *-3>9 3/ 2,./+ <5/*:/+4/2/+4/ 3/=b+ 3: B-0>5 +/4> 5/-0,O-C0/9 ;

/34/ B-0>5 3/ ./.:*/ ./0 *>34/ ./0 85>.:*4> 85,+*,8-0F K>2> 5/3:04-.>9 /0 ,28>54/ /+ 0,C5>3 ./0

85>.:*4> 85,+*,8-0 +> 5/3:04-5? 3,=+,<,*-4,B-2/+4/ .,</5/+4/ ./ 3: *>34/F

e 4 5 > 3 * > 3 4 / 3

G#F W/ ,+*0:,5?+ >45>3 *>34/3 /+ /0 ,28>54/ /+ 0,C5>3 ./ 0-3 /U,34/+*,-39 3,/285/ A:/ 3/ @:C,/5-+

,+*:55,.> 8-5- .-5 - 0-3 2,32-3 3: *>+.,*,6+ ; :C,*-*,6+ -*4:-0/3F M>5 /D/280>9 8:/./ 3/5

-85>8,-.> ,+*0:,59 *>2> *>34/ ./ 0-3 /U,34/+*,-39 0>3 *>34/3 ,+.,5/*4>3 +> ./5,B-.>3 ./ 0-

85>.:**,6+9 > 0>3 *>34/3 ./0 .,3/V> ./ 85>.:*4>3 8-5- *0,/+4/3 /38/*Q<,*>3F

G$F W>+ /D/280>3 ./ *>34/3 /U*0:,.>3 ./0 ,28>54/ /+ 0,C5>3 ./ 0-3 /U,34/+*,-39 ; 8>5 4-+4> - 5/*>+>*/5

*>2> =-34>3 ./0 /D/5*,*,> /+ /0 *:-0 3/ ,+*:55/+9 0>3 3,=:,/+4/3a

Page 214: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 214/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !G$

]-[  0-3 *-+4,.-./3 -+>52-0/3 ./ ./38/5.,*,> ./ 2-4/5,-0/39 2-+> ./ >C5- : >45>3 *>34/3 ./

85>.:**,6+X

]C[  0>3 *>34/3 ./ -02-*/+-2,/+4>9 - 2/+>3 A:/ .,*@>3 *>34/3 3/-+ +/*/3-5,>3 /+ /0 85>*/3>

85>.:*4,B>9 85/B,>3 - :+ 85>*/3> ./ /0-C>5-*,6+ :04/5,>5X

]*[  0>3 *>34/3 ,+.,5/*4>3 ./ -.2,+,345-*,6+ A:/ +> @-;-+ *>+45,C:,.> - .-5 - 0-3 /U,34/+*,-3 3:

*>+.,*,6+ ; :C,*-*,6+ -*4:-0/3X ;

].[  0>3 *>34/3 ./ *>2/5*,-0,O-*,6+F

G%F 7+ *,/54-3 *,5*:+34-+*,-39 0>3 *>34/3 <,+-+*,/5>3 3/ ,+*0:;/+ /+45/ 0>3 *>34/3 ./ 0-3 /U,34/+*,-3F

734-3 *,5*:+34-+*,-3 3/ ,./+4,<,*-+ /+ /0 45-4-2,/+4> -04/5+-4,B> 8/52,4,.> /+ 0- NZK !#9 K>34/3

8>5 Z+4/5/3/3F

K > 3 4 / . / 0 - 3 / U , 3 4 / + * , - 3 8 - 5 - : + 8 5 / 3 4 - . > 5 . / 3 / 5 B , * , > 3

G&F 70 *>34/ ./ 0-3 /U,34/+*,-3 8-5- :+ 85/34-.>5 ./ 3/5B,*,>3 3/ *>28>+/ <:+.-2/+4-02/+4/ ./ 2-+>

./ >C5- ; >45>3 *>34/3 ./ 8/53>+-0 .,5/*4-2/+4/ ,+B>0:*5-.>3 /+ 0- 85/34-*,6+ ./0 3/5B,*,>9

,+*0:;/+.> 8/53>+-0 ./ 3:8/5B,3,6+ ; >45>3 *>34/3 ,+.,5/*4>3 .,345,C:,C0/3F R- 2-+> ./ >C5- ; 0>3

./2?3 *>34/3 5/0-*,>+-.>3 *>+ 0-3 B/+4-39 -3Q *>2> /0 8/53>+-0 ./ -.2,+,345-*,6+ =/+/5-09 +> 3/

,+*0:;/+ /+ /0 *>34/ ./ 0-3 /U,34/+*,-39 3,/+.> 5/*>+>*,.>3 *>2> =-34>3 ./0 /D/5*,*,> /+ /0 A:/ 3/

@-;-+ ,+*:55,.>F

K > 3 4 / . / 0 > 3 8 5 > . : * 4 > 3 - = 5 Q * > 0 - 3 5 / * > 0 / * 4 - . > 3 . / - * 4 , B > 3 C , > 0 6 = , * > 3

G&1F `/ -*:/5.> *>+ 0- NZK $G9 1=5,*:04:5-9 0-3 /U,34/+*,-3 *>28:/34-3 8>5 85>.:*4>3 -=5Q*>0-39 A:/

0- /285/3- @- *>3/*@-.> > 5/*>0/*4-.> ./ 3:3 -*4,B>3 C,>06=,*>39 3/ B-0>5-+9 8-5- 3:5/*>+>*,2,/+4> ,+,*,-09 8>5 /0 B-0>5 5-O>+-C0/ 2/+>3 0>3 *>34/3 /34,2-.>3 /+ /0 8:+4> ./ B/+4-9

*>+3,./5-.>3 /+ /0 2>2/+4> ./ 3: *>3/*@-F t34/ /3 /0 *>34/ ./ 0-3 /U,34/+*,-3 /+ /3- </*@- 8-5- 0-

-80,*-*,6+ ./ 0- 85/3/+4/ N>52-F

W , 3 4 / 2 - 3 . / B - 0 > 5 - * , 6 + . / * > 3 4 / 3

GIF R>3 3,34/2-3 8-5- 0- ./4/52,+-*,6+ ./0 *>34/ ./ 0-3 /U,34/+*,-39 4-0/3 *>2> /0 2)4>.> ./0 *>34/

/34?+.-5 > /0 2)4>.> ./ 0>3 2,+>5,34-39 8:/./+ 3/5 /280/-.>3 8>5 *>+B/+,/+*,- 3,/285/ A:/ /0

5/3:04-.> ./ -80,*-50>3 3/ -85>U,2/ -0 *>34/F R>3 *>34/3 /34?+.-5/3 3/ /34-C0/*/5?+ - 8-54,5 ./

+,B/0/3 +>52-0/3 ./ *>+3:2> ./ 2-4/5,-3 85,2-39 3:2,+,345>39 2-+> ./ >C5-9 /<,*,/+*,- ;

:4,0,O-*,6+ ./ 0- *-8-*,.-.F 7+ /34/ *-3>9 0-3 *>+.,*,>+/3 ./ *?0*:0> 3/ 5/B,3-+ ./ <>52- 5/=:0-5 ;9

3, /3 85/*,3>9 3/ *-2C,-+ 0>3 /34?+.-5/39 3,/285/ ; *:-+.> 4-0/3 *>+.,*,>+/3 @-;-+ B-5,-.>F

GcF 70 2)4>.> ./ 0>3 2,+>5,34-3 3/ :3- - 2/+:.> /+ /0 3/*4>5 *>2/5*,-0 -0 8>5 2/+>5 8-5- 0-

 B-0>5-*,6+ ./ /U,34/+*,-3 *:-+.> @-; :+ =5-+ +b2/5> ./ -54Q*:0>3 A:/ 5>4-+ B/0>O2/+4/9 A:/

Page 215: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 215/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !G%

4,/+/+ 2?5=/+/3 3,2,0-5/3 ; 8-5- 0>3 *:-0/3 /3 ,285-*4,*-C0/ :3-5 >45>3 2)4>.>3 ./ *?0*:0> ./

*>34/3F 7+ /34/ 2)4>.> /+ 8-54,*:0-59 /0 *>34/ ./ 0-3 /U,34/+*,-3 3/ ./4/52,+- ./.:*,/+.> ./0

85/*,> ./ B/+4- ./0 -54Q*:0> /+ *:/34,6+9 :+ 8>5*/+4-D/ -85>8,-.> ./ 2-5=/+ C5:4>F 70 8>5*/+4-D/

A:/ 3/ :3- ./C/ 4/+/5 /+ *:/+4- 0- 8-54/ ./ 0-3 /U,34/+*,-3 A:/ 3/ @-+ 2-5*-.> 8>5 ./C-D> ./ 3:

85/*,> ./ B/+4- >5,=,+-0F ^5/*:/+4/2/+4/ 3/ :4,0,O- :+ 8>5*/+4-D/ 2/.,> 8-5- *-.- 3/**,6+ >

./8-54-2/+4> *>2/5*,-0F

S7$,')+* ./) 6#*5/  

GHF &O GE)*( H( O1) (j+)*(-G+1) H( T/EH'G*E) f'( -E )E- +-*(/G1JX+1XO() (-*/( )gN 1)g GEJE H(

OE) X+(-() F )(/0+G+E) T/EH'G+HE) F )(S/(S1HE) T1/1 T/EF(G*E) ()T(GgI+GE)N H(X( )(/

H(*(/J+-1HE 1 */10e) H(O Je*EHE H( +H(-*+I+G1G+,- ()T(GgI+G1 H( )') GE)*() +-H+0+H'1O();

!PF R- ,./+4,<,*-*,6+ /38/*Q<,*- ./0 *>34/ 3,=+,<,*- A:/ *-.- 4,8> ./ *>34/ *>+*5/4> 3/ .,345,C:;/ - :+

85>.:*4> ./4/52,+-.> ./ 0-3 /U,34/+*,-3F 734/ /3 /0 45-4-2,/+4> -./*:-.> 8-5- -A:/00>3 85>.:*4>3

A:/ 3/ 3/=5/=-+ 8-5- :+ 85>;/*4> /38/*Q<,*>9 *>+ ,+./8/+./+*,- ./ 3, @-+ 3,.> 85>.:*,.>3 >

*>285-.>3 /+ /0 /U4/5,>5F W,+ /2C-5=>9 0- ,./+4,<,*-*,6+ /38/*Q<,*- ./ *>34/3 5/3:04-5? ,+-85>8,-.-

*:-+.> /+ 0-3 /U,34/+*,-3 @-;- :+ =5-+ +b2/5> ./ 85>.:*4>3 A:/ 3>+9 @-C,4:-02/+4/9

,+4/5*-2C,-C0/3F 7+ 4-0/3 *,5*:+34-+*,-39 /0 2)4>.> ./ 3/0/**,>+-5 A:) 85>.:*4>3 ,+.,B,.:-0/3 B-+

- 8/52-+/*/5 /+ 0-3 /U,34/+*,-3 <,+-0/39 8>.5Q- 3/5 :3-.> 8-5- >C4/+/5 /</*4>3 85/./4/52,+-.>3 /+

0- =-+-+*,- > 0- 8)5.,.- +/4- ./0 /D/5*,*,>F

 ( 5 - 4 - 2 , / + 4 > 8 5 / < / 5 / + 4 /

!GF &O GE)*( H( O1) (j+)*(-G+1)N H+)*+-*1) H( O1) */1*1H1) (- (O Th//1IE 3^N H(X( )(/ H(*(/J+-1HE

')1-HE O1) I,/J'O1) H( T/+J(/1 (-*/1H1 T/+J(/1 )1O+H1 bL"L4R E GE)*( T/EJ(H+E

 TE-H(/1HE ] G R;

!!F R- <652:0- ^Z^e -3:2/ A:/ 0>3 85>.:*4>3 /+ /U,34/+*,-3 A:/ <:/5>+ *>285-.>3 > 85>.:*,.>3

-+4/3 3/5?+ B/+.,.>3 /+ 85,2/5 0:=-5 ;9 *>+3/*:/+4/2/+4/9 A:/ 0>3 85>.:*4>3 A:/ A:/./+ /+

/U,34/+*,-3 <,+-0/3 3/5?+ 0>3 85>.:*,.>3 > *>285-.>3 2?3 5/*,/+4/2/+4/F W, 3/ :4,0,O- 0- <652:0-

./0 *>34/ 85>2/.,> 8>+./5-.>9 /0 *>34/ ./ *-.- :+,.-. ./ 85>.:*4> 3/ ./4/52,+-5? - 8-54,5 ./0

85>2/.,> 8>+./5-.> ./0 *>34/ ./ 0>3 -54Q*:0>3 3,2,0-5/39 8>3/Q.>3 -0 85,+*,8,> ./0 /D/5*,*,>9 ; ./0

*>34/ ./ 0>3 2,32>3 -54Q*:0>3 *>285-.>3 > 85>.:*,.>3 .:5-+4/ /0 /D/5*,*,>F W/ 8:/./ *-0*:0-5 /0

85>2/.,> 8/5,6.,*-2/+4/ > ./38:)3 ./ 5/*,C,5 *-.- /+BQ> -.,*,>+-09 ./8/+.,/+.> ./ 0-3

*,5*:+34-+*,-3 ./ 0- /285/3-F

Page 216: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 216/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !G&

 ( 5 - 4 - 2 , / + 4 > - 0 4 / 5 + - 4 , B > 8 / 5 2 , 4 , . >

!#F &O GE)*( H( O1) (j+)*(-G+1)N H+)*+-*1) H( O1) */1*1H1) (- (O Th//1IE 3^N H(X( )(/ H(*(/J+-1HE

')1-HE O1 I,/J'O1 sO*+J1 (-*/1H1 T/+J(/1 )1O+H1 b8"L4R ] G [;

!$F R- <652:0- RZ^e -3:2/ A:/ 0>3 85>.:*4>3 /+ /U,34/+*,-3 A:/ <:/5>+ *>285-.>3 > 85>.:*,.>3 /+

b04,2> 0:=-5 3/5?+ B/+.,.>3 0>3 85,2/5>3 ;9 *>+3/*:/+4/2/+4/9 A:/ 0>3 85>.:*4>3 A:/ A:/./+ /+

/U,34/+*,-3 <,+-0/3 3/5?+ 0>3 85>.:*,.>3 > *>285-.>3 /+ 85,2/5 0:=-5F

a+)#$ -/5# $/+)2C+8)/  

!%F 70 *>34/ ./ 0-3 /U,34/+*,-3 8:/./ +> 3/5 5/*:8/5-C0/ /+ *-3> ./ A:/ 0-3 2,32-3 /34)+ .-V-.-39 3, 3/

@-+ B:/04> 8-5*,-0 > 4>4-02/+4/ >C3>0/4-39 > C,/+ 3, 3:3 85/*,>3 ./ 2/5*-.> @-+ *-Q.>F 13,2,32>9

/0 *>34/ ./ 0-3 /U,34/+*,-3 8:/./ +> 3/5 5/*:8/5-C0/ 3, 0>3 *>34/3 /34,2-.>3 8-5- 3: 4/52,+-*,6+ >

3: B/+4- @-+ -:2/+4-.>F R- 85?*4,*- ./ 5/C-D-5 /0 3-0.> @-34- A:/ /0 ,28>54/ /+ 0,C5>3 3/- ,=:-0 -0

 B-0>5 +/4> 5/-0,O-C0/ /3 *>@/5/+4/ *>+ /0 8:+4> ./ B,34- 3/=b+ /0 *:-0 0>3 -*4,B>3 +> ./C/+

 B-0>5-53/ /+ 0,C5>3 8>5 /+*,2- ./ 0>3 ,28>54/3 A:/ 3/ /38/5- 5/*:8/5-5 ./ 3: B/+4- > :3>

8>34/5,>5F

!&F R- 5/C-D- @-34- -0*-+O-5 /0 B-0>5 +/4> 5/-0,O-C0/ 3/ *-0*:0- :3:-02/+4/ 8-5- *-.- 4,8> ./ -54Q*:0>F

7+ -0=:+-3 *,5*:+34-+*,-39 3,+ /2C-5=>9 8:/./ 5/3:04-5 -85>8,-.> -=5:8-5 -54Q*:0>3 3,2,0-5/3 >

5/0-*,>+-.>3F 734/ 8:/./ 3/5 /0 *-3> ./ -54Q*:0>3 /+ /U,34/+*,-3 5/0-*,>+-.>3 *>+ 0- 2,32- 0Q+/- ./

85>.:*4>3 ; A:/ 4,/+/+ 85>863,4>3 > :3>3 <,+-0/3 3,2,0-5/39 3/ 85>.:*/+ ; B/+./+ /+ 0- 2,32- ?5/-

=/>=5?<,*- ; +> 8:/./+ 3/59 8>5 5-O>+/3 85?*4,*-39 /B-0:-.>3 3/8-5-.-2/+4/ ./ >45>3 -54Q*:0>3 ./

0- 0Q+/-F N> /3 -85>8,-.> 5/-0,O-5 0-3 5/C-D-3 - 8-54,5 ./ 8-54,.-3 A:/ 5/<0/D/+ *0-3,<,*-*,>+/3*>280/4-3 ./ 0-3 /U,34/+*,-39 8>5 /D/280> 3>C5/ 0- 4>4-0,.-. ./ 0>3 85>.:*4>3 4/52,+-.>39 > 3>C5/

4>.-3 0-3 /U,34/+*,-3 /+ :+- -*4,B,.-. > 3/=2/+4> =/>=5?<,*> ./4/52,+-.>3F R>3 85/34-.>5/3 ./

3/5B,*,>3 -*:2:0-+9 =/+/5-02/+4/9 3:3 *>34/3 /+ 5/0-*,6+ - *-.- 3/5B,*,> 8-5- /0 A:/ 3/ /38/5-

*-5=-5 :+ 85/*,> 3/8-5-.> -0 *0,/+4/F M>5 4-+4>9 *-.- 3/5B,*,> -3Q ,./+4,<,*-.> 3/ 45-4-5? *>2> :+-

8-54,.- 3/8-5-.-F

!IF R-3 /34,2-*,>+/3 ./0 B-0>5 +/4> 5/-0,O-C0/ 3/ C-3-5?+ /+ 0- ,+<>52-*,6+ 2?3 <,-C0/ ./ A:/ 3/

.,38>+=- /+ /0 2>2/+4> ./ @-*/50-39 -*/5*- ./0 ,28>54/ A:/ 3/ /38/5- 5/*:8/5-5 ./ 0-3 /U,34/+*,-3F

734-3 /34,2-*,>+/3 4>2-+ /+ *>+3,./5-*,6+ 0-3 <0:*4:-*,>+/3 ./ 85/*,>3 > *>34/3 5/0-*,>+-.>3

.,5/*4-2/+4/ *>+ 0>3 @/*@>3 >*:55,.>3 45-3 /0 *,/55/9 /+ 0- 2/.,.- /+ A:/ 4-0/3 @/*@>3 *>+<,52/+

*>+.,*,>+/3 /U,34/+4/3 -0 <,+-0 ./0 /D/5*,*,>F

] G [ f)-3/ 4-2C,)+ 0- Z+4/585/4-*,6+ WZKEGa \+,<>52,.-. —  `,</5/+4/3 ^652:0-3 8-5- /0 K?0*:0> ./0 K>34/

./ 0-3 7U,34/+*,-3F

Page 217: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 217/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !GI

!cF  10 @-*/5 0-3 /34,2-*,>+/3 ./0 B-0>5 +/4> 5/-0,O-C0/9 3/ 4/+.5? /+ *>+3,./5-*,6+ /0 85>863,4> 8-5- /0

A:/ 3/ 2-+4,/+/+ 0-3 /U,34/+*,-3F M>5 /D/280>9 /0 B-0>5 +/4> 5/-0,O-C0/ ./ 0-3 /U,34/+*,-3 A:/ 3/

4,/+/+ 8-5- *:280,5 *>+ 0>3 *>+45-4>3 ./ B/+4- > ./ 85/34-*,6+ ./ 3/5B,*,>39 3/ C-3- /+ /0 85/*,>

A:/ <,=:5- /+ /0 *>+45-4> /+ *:/34,6+F W, 0>3 *>+45-4>3 ./ B/+4- 3>+ 8>5 :+- *-+4,.-. ,+</5,>5 - 0-

5/<0/D-.- /+ /U,34/+*,-39 /0 B-0>5 +/4> 5/-0,O-C0/ ./0 /U*/3> 3/ ./4/52,+- C-3?+.>3/ /+ 0>3 85/*,>3

=/+/5-0/3 ./ B/+4-F M:/./+ -8-5/*/5 85>B,3,>+/3 > 8-3,B>3 *>+4,+=/+4/3 8>5 *>+45-4>3 <,52/3 ./

 B/+4- A:/ /U*/.-+ 0-3 *-+4,.-./3 ./ 85>.:*4>3 /+ /U,34/+*,-39 > C,/+ ./ 85>.:*4>3 A:/ B-;-+ -

>C4/+/53/ 8>5 *>+45-4>3 ./ *>285- <,52/3F (-0/3 85>B,3,>+/3 > 8-3,B>3 *>+4,+=/+4/3 3/ 45-4-+

*>+4-C0/2/+4/ ./ -*:/5.> *>+ 0- NZK #I9 M5>B,3,>+/39 1*4,B>3 K>+4,+=/+4/3 ; M-3,B>3

K>+4,+=/+4/3F

!HF W>C5/ 0-3 2-4/5,-3 85,2-3 ; >45>3 3:2,+,345>3 2-+4/+,.>3 8-5- 3: :3> /+ 0- 85>.:**,6+ ./

/U,34/+*,-39 +> 3/ 85-*4,*-5?+ 5/C-D-3 8-5- 3,4:-5 3: ,28>54/ /+ 0,C5>3 8>5 ./C-D> ./0 *>34/9 3,/285/

A:/ 3/ /38/5/ A:/ 0>3 85>.:*4>3 4/52,+-.>3 - 0>3 A:/ 3/ ,+*>58>5/+ 3/5?+ B/+.,.>3 -0 *>34/ > 8>5

/+*,2- ./0 2,32>F W,+ /2C-5=>9 *:-+.> :+- 5/.:**,6+ /+ /0 85/*,> ./ 0-3 2-4/5,-3 85,2-3 ,+.,A:/

A:/ /0 *>34/ ./ 0>3 85>.:*4>3 4/52,+-.>3 /U*/./5? - 3: B-0>5 +/4> 5/-0,O-C0/9 3/ 5/C-D-5? 3:

,28>54/ /+ 0,C5>3 @-34- *:C5,5 4-0 .,</5/+*,-F 7+ /34-3 *,5*:+34-+*,-39 /0 *>34/ ./ 5/8>3,*,6+ ./ 0-3

2-4/5,-3 85,2-3 8:/./ 3/5 0- 2/D>5 2/.,.- .,38>+,C0/ ./ 3: B-0>5 +/4> 5/-0,O-C0/F

#PF W/ 5/-0,O-5? :+- /B-0:-*,6+ ./0 B-0>5 +/4> 5/-0,O-C0/ -0 <,+-0 ./ *-.- /D/5*,*,> 3:C3,=:,/+4/F K:-+.>

0-3 *,5*:+34-+*,-3 A:/ 85/B,-2/+4/ *-:3-5>+ 0- 5/C-D- @-;-+ ./D-.> ./ /U,34,59 3/ 85>*/./5? -

5/B/54,5 /0 ,28>54/ ./ 0- 2,32-9 ./ 2-+/5- A:/ /0 +:/B> B-0>5 *>+4-C0/ 3/- /0 2/+>5 /+45/ /0 *>34/; /0 B-0>5 +/4> 5/-0,O-C0/ 5/B,3-.>F 734> >*:55,5?9 8>5 /D/280>9 *:-+.> :+ -54Q*:0> /+ /U,34/+*,-39

A:/ 3/ *>+4-C,0,O- 3/=b+ 3: B-0>5 +/4> 5/-0,O-C0/ 8>5A:/ @- C-D-.> 3: 85/*,> ./ B/+4-9 /34? 4>.-BQ-

/+ /U,34/+*,-3 /+ :+ /D/5*,*,> 8>34/5,>5 ; 3: 85/*,> ./ B/+4- 3/ @- ,+*5/2/+4-.>F

d7KeNeKZ_Z7N(e Ke_e L1W(e 7R 7q7dKZKZe

#GF  6O )(/ 0(-H+H1) O1) (j+)*(-G+1)N (O +JTE/*( (- O+X/E) H( O1) J+)J1) )( /(GE-EG( GEJE S1)*E

H(O J+)JE (P(/G+G+E (- (O f'( )( /(S+)*/1- OE) GE//()TE-H+(-*() +-S/()E); &O +JTE/*( H(

G'1Of'+(/ /(X1P1N U1)*1 (O 01OE/ -(*E /(1O+i1XO(N 1)g GEJE *EH1) O1) H(Jh) Te/H+H1) (- O1)

(j+)*(-G+1)N H(X(- )(/ /(GE-EG+H1) (- (O (P(/G+G+E (- f'( *+(-( O'S1/ (O H(*(/+E/E; &O

+JTE/*( H( G'1Of'+(/ /(0(/)+,- H( O1) /(X1P1) H( 01OE/ TE/ H(*(/+E/E H( (j+)*(-G+1)N */1) '-

+-G/(J(-*E (- (O 01OE/ -(*E /(1O+i1XO(N H(X( )(/ /(S+)*/1HE GEJE '-1 /(H'GG+,- (- (O

+JTE/*( H( O1) (j+)*(-G+1) f'( U1F1- )+HE /(GE-EG+H1) GEJE S1)*E (- (O (P(/G+G+E (- f'(

O1 /(G'T(/1G+,- H(O 01OE/ *(-S1 O'S1/;

Page 218: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 218/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !Gc

#!F 70 85>*/3> ./ 5/*>+>*/5 *>2> =-34> ./0 /D/5*,*,> /0 ,28>54/ /+ 0,C5>3 ./ 0-3 /U,34/+*,-3 B/+.,.-3

4,/+/ *>2> *>+3/*:/+*,- 0- *>55/0-*,6+ ./ =-34>3 / ,+=5/3>3F

##F 70 *>34/ ./ *,/54-3 /U,34/+*,-3 8:/./ 3/5 ,+*>58>5-.> - >45-3 *:/+4-3 ./ -*4,B>9 8>5 /D/280> 0-3

/U,34/+*,-3 :3-.-3 *>2> *>28>+/+4/3 ./ 0>3 45-C-D>3 5/-0,O-.>3 8>5 0- /285/3- 8-5- 0>3

/0/2/+4>3 ./0 ,+2>B,0,O-.> 2-4/5,-0F 70 B-0>5 ./ 0-3 /U,34/+*,-3 .,345,C:,.> /+45/ >45>3 -*4,B>3

.,34,+4>3 ./ 0>3 -+4/5,>5/3 ; ./ 0- 2,32- <>52- 3/ 5/*>+>*/5? *>2> =-34> - 0> 0-5=> ./ 0- B,.- b4,0

./ 0>3 2,32>3F

ZN^ed_1KZmN 1 d7f7R1d

#$F &- OE) ()*1HE) I+-1-G+(/E) )( H(X( /(0(O1/ O1 )+S'+(-*( +-IE/J1G+,-2

]-[  O1) TEOg*+G1) GE-*1XO() 1HET*1H1) T1/1 O1 01OE/1G+,- H( O1) (j+)*(-G+1)N +-GO'F(-HE

O1 I,/J'O1 H( 01OE/1G+,- H( OE) GE)*() f'( )( U1F1 '*+O+i1HEz

]C[ (O +JTE/*( *E*1O (- O+X/E) H( O1) (j+)*(-G+1)N H()SOE)1HE (- OE) +JTE/*() T1/G+1O()

)(Ss- O1 GO1)+I+G1G+,- f'( /()'O*( 1T/ET+1H1 T1/1 O1 (JT/()1z

]*[  (O +JTE/*( (- O+X/E) H( O1) (j+)*(-G+1) f'( )( U1- 01OE/1HE )(Ss- )' 01OE/ -(*E

/(1O+i1XO(z

].[  OE) +JTE/*() H( O1) /(0(/)+E-()N (- O1) /(X1P1) H( 01OE/ 1-*(/+E/() T1/1 /(IO(P1/ (O

01OE/ -(*E /(1O+i1XO(N f'( )( U1F1- /(GE-EG+HE GEJE +-S/()E) (- (O (P(/G+G+EN H(

1G'(/HE GE- (O Th//1IE D3z

]/[  O1) G+/G'-)*1-G+1) E (0(-*E) f'( U1- T/EH'G+HE O1 /(0(/)+,- H( O1) /(X1P1) H( 01OE/N

H( 1G'(/HE GE- (O /(I(/+HE Th//1IE D3z F

]<[  (O +JTE/*( (- O+X/E)N )+ (j+)*+()(N H( O1) (j+)*(-G+1) GEJT/EJ(*+H1) GEJE S1/1-*g1

H(O G'JTO+J+(-*E H( H('H1);

#%F R- ,+<>52-*,6+ -*/5*- ./ 0>3 3-0.>3 8/54/+/*,/+4/3 - 0-3 .,</5/+4/3 *0-3/3 ./ /U,34/+*,-39 -3Q *>2>

0- B-5,-*,6+ ./ .,*@>3 3-0.>3 /+ /0 /D/5*,*,> 5/3:04-5? ./ :4,0,.-. 8-5- 0>3 :3:-5,>3 ./ 0>3 /34-.>3

<,+-+*,/5>3F \+- *0-3,<,*-*,6+ *>2b+ ./ 0-3 /U,34/+*,-3 /3 0- A:/ .,34,+=:/ /+45/ 2/5*-./5Q-39

3:2,+,345>3 8-5- 0- 85>.:**,6+9 2-4/5,-3 85,2-39 85>.:*4>3 /+ *:53> ; 85>.:*4>3 4/52,+-.>3F R-3

/U,34/+*,-3 ./ :+ 85/34-.>5 ./ 3/5B,*,>3 8:/./+ 3/5 ./3*5,4-39 3,280/2/+4/9 *>2> 85>.:*4>3 /+

*:53>F

Page 219: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 219/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !GH

#&F %'1-HE (O GE)*( H( O1) (j+)*(-G+1) )( H(*(/J+-( '*+O+i1-HE O1 I,/J'O1 8"L4N H( 1G'(/HE

GE- (O */1*1J+(-*E 1O*(/-1*+0E T(/J+*+HE (- (O Th//1IE ADN OE) ()*1HE) I+-1-G+(/E) H(X(-

/(0(O1/ O1 H+I(/(-G+1 (-*/( (O )1OHE H( O1) (j+)*(-G+1) I+-1O() H(O X1O1-G( F2

]-[  (O J(-E/ 01OE/ (-*/( (O +JTE/*( G1OG'O1HE H( 1G'(/HE GE- (O Th//1IE A3 F (O 01OE/

-(*E /(1O+i1XO(z E

]C[ (O J(-E/ 01OE/ (-*/( (O GE)*( H( /(TE)+G+,- (- O1 I(GU1 H(O X1O1-G( F (O 01OE/ -(*E

/(1O+i1XO(;

#IF &- OE) ()*1HE) I+-1-G+(/E) )( H(X( H1/ +-IE/J1G+,- )EX/( '-E H( OE) HE) )+S'+(-*()

(j*/(JE)2

]-[  (O GE)*( H( O1) (j+)*(-G+1) f'( )( U1- /(GE-EG+HE GEJE S1)*E H'/1-*( (O (P(/G+G+Ez E

X+(-

]C[  OE) GE)*() H( (jTOE*1G+,-N /(O1G+E-1HE) GE- OE) +-S/()E) E/H+-1/+E)N /(GE-EG+HE)

GEJE S1)*E) H'/1-*( (O (P(/G+G+EN GO1)+I+G1HE) )(Ss- )' -1*'/1O(i1;

#cF 70 *>34/ ./ 0-3 /U,34/+*,-39 5/*>+>*,.> *>2> =-34> .:5-+4/ /0 /D/5*,*,>9 3/ *>28>+/ ./ -A:/00>3

*>34/3 ,+*0:,.>3 /+ 0- B-0>5-*,6+ ./ 0>3 85>.:*4>3 B/+.,.>3 2?3 0>3 *>34/3 ,+.,5/*4>3 +>

.,345,C:,.>3 ; 0>3 ,28>54/3 -+>52-0/3 ./ 0>3 *>34/3 ./ 85>.:**,6+ ./ 0-3 /U,34/+*,-3 /+ 0>3 A:/ 3/

@- ,+*:55,.> .:5-+4/ /0 85>8,> /D/5*,*,>F R-3 *,5*:+34-+*,-3 8-54,*:0-5/3 ./ *-.- /285/3- 8:/./+

/U,=,5 0- ,+*0:3,6+ ./ >45>3 *>34/39 4-0/3 *>2> 0>3 *>34/3 ./ .,345,C:*,6+F

#HF  10=:+-3 /285/3-3 -.>84-+ :+ <>52-4> .,</5/+4/ /+ 0- 85/3/+4-*,6+ ./ 0- *:/+4- ./ 5/3:04-.>39 0>

A:/ 85>.:*/ A:/ 3/ *>+3,=+/+ *-+4,.-./3 .,</5/+4/3 /+ 0:=-5 ./0 *>34/ ./ 0-3 /U,34/+*,-35/*>+>*,.-3 *>2> =-34> /+ /0 /D/5*,*,>F S-D> 4-0 <>52-4> .,</5/+4/9 0- /285/3- ,+<>52-5?9 +>

>C34-+4/9 ./ 0- *:-+4Q- ./ 0>3 *>34/3 ./ /U80>4-*,6+9 5/0-*,>+-.>3 *>+ 0>3 ,+=5/3>3 >5.,+-5,>39 A:/

3/ @-+ 5/*>+>*,.> *>2> =-34>3 .:5-+4/ /0 /D/5*,*,>9 *0-3,<,*-.>3 8>5 3: +-4:5-0/O-F 7+ /34/ *-3>9 0-

/285/3- ,+<>52-5? 3>C5/ 0>3 *>34/3 5/*>+>*,.>3 *>2> =-34>3 ./ 2-4/5,-3 85,2-3 ; >45>3

2-4/5,-0/39 *>34/3 ./ 2-+> ./ >C5- ; >45>3 *>34/3 ./ /U80>4-*,6+9 D:+4> *>+ 0- B-5,-*,6+ +/4- ./0

 B-0>5 ./ 0-3 /U,34/+*,-3 /+ /0 /D/5*,*,>F

$PF R- *:-+4Q-9 ,+*,./+*,- > +-4:5-0/O- ./ :+- 85>B,3,6+ 8-5- 5/C-D-5 /0 *>34/ -0 B-0>5 +/4> 5/-0,O-C0/9

8:/./ 5/A:/5,5 ,+<>52-*,6+ /38/*Q<,*- 3/=b+ 0- NZK c9 L-+-+*,- > M)5.,.- N/4- ./0 7D/5*,*,>9

755>5/3 ^:+.-2/+4-0/3 ; K-2C,>3 /+ 0-3 M>0Q4,*-3 K>+4-C0/3F

^7KJ1 `7 fZL7NKZ1

&)*1 #E/J1 "-*(/-1G+E-1O H( %E-*1X+O+H1H *(-H/h 0+S(-G+1 T1/1 OE) ()*1HE) I+-1-G+(/E) f'(1X1/f'(- (P(/G+G+E) f'( GEJ+(-G(- 1 T1/*+/ H(O 3 H( (-(/E H( 3^^Q;

Page 220: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 220/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !!P

3V;^   6 #&d4 ^2 748&5W# 5a%#"%4 #y DD $&8 %48&?"4 $& %4#56$4=&: 

7EO(*g- 5eG-+GE #y DD H(O %EO(S+E H( %E-*1HE/()

5/1*1J+(-*E GE-*1XO( H(O 1G*+0E

"#5=4$>%%"4#

GF 734/ C>0/4Q+9 A:/ *>280/2/+4- 0>3 S>0/4,+/3 ()*+,*>3 N>3 G9 #9 G! ; G#9 3/ 5/<,/5/ -0 45-4-2,/+4>

*>+4-C0/ ./0 -*4,B> <,D> ; 4,/+/ *>2> >CD/4,B> 5/=0-2/+4-5 ; :+,<>52-5 .,*@> 45-4-2,/+4> *>+4-C0/F

!F 734/ S>0/4Q+ +> /3 -80,*-C0/ - 80-+4-*,>+/3 <>5/34-0/3 *:;> 45-4-2,/+4> *>+4-C0/ 3/ -+-0,O- /+ /0 S>0/4Q+

N> G!F (-28>*> /3 -80,*-C0/ - ;-*,2,/+4>3 2,+/5>39 8/45>0Q</5>3 ; 3,2,0-5/3F

$&L"#"%"4#

#F 70 -*4,B> <,D> /34? <>52-.> 8>5 C,/+/3 4-+=,C0/3 A:/ @-+ 3,.> -.A:,5,.>3 > *>+345:,.>3 8-5- :3-50>3 /+/0 =,5> ./ 0- /285/3-9 .:5-+4/ :+ 8/5Q>.> *>+3,./5-C0/ ./ 4,/28> ; 3,+ /0 85>863,4> ./ B/+./50>3F

4."#"4# %4:54: $& 6$_>":"%"4# Z\4 %4#:5=>%%"4#

$F R>3 -*4,B>3 <,D>3 3/ B-0>5,O-+9 /+ 85,+*,8,>9 -0 *>34>9 ./ -.A:,3,*,6+ > *>+345:**,6+ ./ 0>3 5/38/*4,B>3

C,/+/3F `,*@> *>34> ./C/ -*4:-0,O-53/ 8>34/5,>52/+4/ 8-5- 5/<0/D-5 0>3 /</*4>3 ./ 0- ,+<0-*,6+ ]*>55/**,6+

2>+/4-5,-[9 3/=b+ 3/ 3/V-0- /+ 0>3 S>0/4,+/3 ()*+,*>3 N>3 # ; G#F

%F R>3 B-0>5/3 - A:/ 3/ 5/=,345/+ 0>3 -*4,B>3 <,D>3 ./C/+ ,+*0:,5 4>.>3 0>3 *>34>3 A:/ 3/ 5/0-*,>+-+

.,5/*4-2/+4/ *>+ 3: -.A:,3,*,6+ > *>+345:**,6+9 ,+*0:3> -A:/00>3 +/*/3-5,>3 8-5- A:/ 0>3 C,/+/3 A:/./+/+ *>+.,*,>+/3 ./ 3/5 :4,0,O-.>3 8>5 /0 K>285-.>5F M>5 *>+3,=:,/+4/9 /0 *>34> ./ 0>3 -*4,B>3 <,D>3 ./C/

,+*0:,5 8-54,.-3 4-0/3 *>2> *>34> ./ .,3/V>9 *-5=>3 8>5 45-+38>54/9 *>34>3 ./ ,+34-0-*,6+X B-0>5/3

+/*/3-5,>3 8-5- -0O-5 0>3 =5-B?2/+/3 /U,34/+4/39 *>34>3 ,+,*,-0/3 ./ 5/*>+345:**,6+9 0>3 @>+>5-5,>3 0/=-0/3 ;

./ >45- +-4:5-0/O- A:/ 3/ ./B/+=:/+9 ; 0>3 *>34>3 ./ <,+-+*,-2,/+4> 45-4-.>3 /+ /0 S>0/4Q+ ()*+,*> NT #GF

R>3 ./3*:/+4>3 >C4/+,.>3 /+ 0- -.A:,3,*,6+ ./ :+ C,/+ ./C/+ 5/C-D-53/ ./0 *>34> ./0 2,32>F

&F 7+ /0 *-3> ./ C,/+/3 ,+2:/C0/39 0- *>+4-C,0,.-. ./C/5? 5/=,345-5 3/8-5-.-2/+4/ /0 B-0>5 -3,=+-.> -0

4/55/+> ; - 0-3 *>+345:**,>+/39 ./ @-C/50-39 :4,0,O-+.> :+ 2)4>.> -85>8,-.> /+ 0-3 *,5*:+34-+*,-3F W, 0-3*>+345:**,>+/3 /U,34/+4/3 /+ 0>3 ,+2:/C0/3 *>285-.>3 @-+ ./ 3/5 ./2>0,.-3 *>+ /0 >CD/4> ./ ./D-5 /0 C,/+

/+ *>+.,*,>+/3 ./ :3> 8-5- /0 *>285-.>59 ./C/+ -3,=+-53/ -0 B-0>5 ./0 4/55/+> /0 *>34> 4>4-0 ./ .,*@>3

,+2:/C0/39 2?3 0>3 *>34>3 ./ ./2>0,*,6+9 ./.:*,/+.> 0>3 B-0>5/3 A:/ 3/ >C4/+=-+ ./ 0- B/+4- ./ 0>3

2-4/5,-0/3 ./ ./2>0,*,6+F

Page 221: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 221/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !!G

IF K:-+.> 3/ *>+345:;/+ 85>8,/.-./39 /0 *>34> ./C/ ,+*0:,5 0>3 @>+>5-5,>3 ./ 0>3 -5A:,4/*4>39 0>3 *>34>3 ./

/U*-B-*,6+9 0>3 8-=>3 - *>+45-4,34-3 ./ *>+345:**,6+9 0>3 2-4/5,-0/3 ; 0- 2-+> ./ >C5- .,5/*4>39 0>3

8/52,3>3 ; 0>3 3/=:5>3 ./ *>+345:**,6+F R>3 *>34>3 /U45->5.,+-5,>3 ,+*:55,.>3 .:5-+4/ 0- *>+345:**,6+9

4-0/3 *>2> 0>3 *-:3-.>3 8>5 ,+/<,*,/+*,-39 8>5 ,+*/+.,> : >45- *-4?345></9 +> ./C/+ -*4,B-53/F

cF R>3 *>34>3 ,+.,5/*4>3 ,+*:55,.>3 .:5-+4/ /0 8/5Q>.> ./ -*4,B,.-. +>52-0 ./ *>+345:**,6+ ; -45,C:,C0/3

.,5/*4-2/+4/ - /00-9 ./C/+ -*4,B-53/F W,+ /2C-5=>9 *:-+.> 0- -*4,B,.-. ./ *>+345:**,6+ ./ :+ C,/+

/38/*Q<,*> /3 ,+4/55:28,.-9 +> /3 -*/84-C0/ -*4,B-5 0>3 *>34>3 ,+.,5/*4>3 ,+*:55,.>3 /+ /0 8/5Q>.> ./

,+-*4,B,.-.F

%4:54: $& <6#5&#%"4#

HF M-5- /</*4>3 ./ /34/ S>0/4Q+9 3/ ./+>2,+-+ *>34>3 ./ 2-+4/+*,6+ -A:)00>3 /+ A:/ 3/ ,+*:55/ /+ <>52-85>=5-2-.- 8-5- 2-+4/+/5 :+ C,/+ /+ >8/5-*,6+ +>52-0F

GPF R>3 *>34>3 ./ 0-3 2-+4/+*,>+/3 A:/ 3/ 5/-0,O-+ 5/=:0-52/+4/ /+ *-.- /D/5*,*,>9 8-5- 2-+4/+/5 /0 C,/+

/+ >8/5-*,6+ +>52-0 .:5-+4/ 3: B,.- b4,0 /34,2-.- >5,=,+-02/+4/9 ./C/+ *>+4-C,0,O-53/ *>+ *-5=> -

5/3:04-.>3 /+ /0 8/5Q>.> /+ A:/ 3/ ,+*:55/+F

GGF R>3 *>34>3 ./ 2-+4/+*,6+ 2-;>59 A:/ .-.-3 0-3 *-5-*4/5Q34,*-3 ./ -0=:+>3 C,/+/3 /3 +/*/3-5,> /</*4:-5

*-.- *,/54> +b2/5> ./ /D/5*,*,>39 4-0/3 *>2> *-5/+- ./ C:A:/39 5/B,3,6+ 4)*+,*- ]>B/5@-:0[ ./ -B,>+/39

*-2C,> ./ 5/<5-*4-5,>3 /+ @>5+>39 /4*F9 ./C/+ *>+4-C,0,O-53/ 3,=:,/+.> -0=:+- ./ 0-3 .>3 -04/5+-4,B-33/V-0-.-3 - *>+4,+:-*,6+9 -4/+.,.- 0- 8>0Q4,*- ./ ./85/*,-*,6+ -.>84-.- 8>5 0- /285/3-a

]-[ W, 0- B,.- b4,0 -3,=+-.- -0 C,/+9 > - -0=:+> ./ 3:3 *>28>+/+4/3 A:/ 3/ ./85/*,/+ /+ <>52- 3/8-5-.-

]/D/280>9 5/<5-*4-5,>3 ./ -04>3 @>5+>3[9 *>55/38>+./ -0 8/5Q>.> ./ 4,/28> A:/ 2/.,-5? /+45/ 3: 8:/34- /+

<:+*,>+-2,/+4> ; 0- </*@- /+ A:/ 3/ 85>=5-2/ /</*4:-5 0- 2-+4/+*,6+ 2-;>5 5/A:/5,.- 8-5- /U4/+./5 3:

 B,.- b4,09 3/ ./C/5? -*4,B-5 /0 *>34> ./ .,*@- 2-+4/+*,6+ ; ./85/*,-53/ /+ /0 8/5Q>.> A:/ 2/.,-5? /+45/ 0-

</*@- ./ 5/,+*>58>5-*,6+ ./0 C,/+ - 0- -*4,B,.-. 85>.:*4,B- > ./ 3/5B,*,> ; 0- </*@- /+ A:/ 3/ 85>=5-2-

/</*4:-5 :+- +:/B- 2-+4/+*,6+ 2-;>5 8-5- A:/ /0 C,/+ 8:/.- *>+4,+:-5 /+ <:+*,>+-2,/+4>F

]C[ W, 0- B,.- b4,0 -3,=+-.- -0 C,/+ *>55/38>+./ -0 8/5Q>.> 2?U,2> ./ :4,0,O-*,6+ ./0 2,32>9 8-5- *:;>

*:280,2,/+4> 3/ 5/A:/5,5? /</*4:-5 :+- > 2?3 2-+4/+*,>+/3 2-;>5/39 /0 *>34> ./ /00-3 ./C/5?

85>B,3,>+-53/ 0,+/-02/+4/ /+ *-.- /D/5*,*,> *>+ *-5=> - 5/3:04-.>39 ./ 4-0 <>52- A:/ - 0- </*@- /+ A:/ 3/

/</*4b/ *-.- :+- ./ /00-3 3/ *:/+4/ *>+ :+- 85>B,3,6+ -./*:-.- A:/ *:C5- .,*@> *>34>F

Page 222: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 222/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !!!

%4:54: $& =&.6=6%"4#

G!F M-5- /</*4>3 ./ /34/ S>0/4Q+9 3/ ./+>2,+-+ *>34>3 ./ 5/8-5-*,6+ -A:)00>3 /+ A:/ 3/ ,+*:55/ /+ <>52-

,285/B,34-9 8-5- 3>0:*,>+-5 /0 ./38/5</*4> ./ -0=b+ C,/+ ; 5/34,4:,50/ 3:3 *>+.,*,>+/3 +>52-0/3 ./>8/5-*,6+F

G#F R>3 *>34>3 ./ 5/8-5-*,6+ ./C/+ *>+4-C,0,O-53/ *>+ *-5=> - 5/3:04-.>3 /+ /0 8/5Q>.> /+ A:/ 3/ ,+*:55/+9

.-.> A:/ /00>3 +> -:2/+4-+ 0- B,.- b4,0 /34,2-.- >5,=,+-02/+4/ 8-5- /0 C,/+F

%4:54: $& 6$"%"4#&: Z <&B4=6

G$F M-5- /</*4>3 ./ /34/ S>0/4Q+9 3/ ./+>2,+-+ *>34>3 ./ -.,*,>+/3 ; 2/D>5-3 -A:)00>3 /+ A:/ 3/ ,+*:55/

*>+ /0 >CD/4> /38/*Q<,*> ./ /U4/+./5 3,=+,<,*-4,B-2/+4/ 0- B,.- b4,09 > ,+*5/2/+4-5 3,=+,<,*-4,B-2/+4/ 0-

*-8-*,.-. 85>.:*4,B- > /<,*,/+*,- >5,=,+-0 ./0 C,/+F

G%F R>3 *>34>3 ./ -.,*,>+/3 ; 2/D>5-3 ./C/+ *>+4-C,0,O-53/ *>+ *-5=> -0 -*4,B> <,D>F 7+ /0 *-3> A:/ .,*@>3

*>34>3 2>.,<,A:/+ 0- B,.- b4,0 ./0 5/38/*4,B> C,/+9 ./C/5? 85>*/./53/ - ./85/*,-5 /0 B-0>5 +/4> ./0 C,/+9

2?3 0>3 *>34>3 ./ -.,*,>+/3 ; 2/D>5-39 /+ /0 8/5Q>.> ./ B,.- b4,0 5/34-+4/ A:/ 4)*+,*-2/+4/ 3/ @-;-

./4/52,+-.>F W, +> 3/ 85>.:*/+ 2>.,<,*-*,>+/3 /+ /0 8/5Q>.> ./ B,.- b4,0 *>+ 2>4,B> ./ 0-3 -.,*,>+/3 ;

2/D>5-39 /0 *>34> ./ /34-3 ./C/5? ./85/*,-53/ /+ /0 8/5Q>.> ./ B,.- b4,0 5/34-+4/ ./0 C,/+ 5/38/*4,B>F

$&.=&%"6%"4#

G&F 7U*/84> 8-5- 0>3 -*4,B>3 A:/ +> 3/ ./3=-34-+9 4-0/3 *>2> 0>3 4/55/+>3 ; 0-3 *>0/**,>+/3 ./ -54/9 4>.>3

0>3 C,/+/3 ./C/+ ./85/*,-53/ .:5-+4/ 0- B,.- b4,0 ./0 -*4,B>9 3/=b+ :+- C-3/ 5-*,>+-0 ; 3,34/2?4,*-9 3,+

*>+3,./5-5 /0 5/3:04-.> ./ 0-3 >8/5-*,>+/3 ./ 0- /285/3-F

GIF M-5- /34/ 85>*/.,2,/+4> 3/ :3-+ 0>3 3,=:,/+4/3 4)52,+>3a

]-[ 1*4,B>3 <,D>3 ./85/*,-C0/3a

W>+ 0>3 A:/ /34?+ ./<,+,.>3 /+ /0 8?55-<> # ./0 85/3/+4/ C>0/4Q+9 3/ /38/5- A:/ 3/5?+ :3-.>3 .:5-+4/ 2?3

./ :+ 8/5Q>.> *>+4-C0/ ; 4,/+/+ :+- B,.- b4,0 0,2,4-.-F]C[ f,.- b4,0a

7 3 /0 8/5Q>.> .:5-+4/ /0 *:-0 3/ /38/5- A:/ :+ -*4,B> ./85/*,-C0/ 3/- :3-.> 8>5 0- /285/3-9 ,+*0:,.>3 3:3

5/8:/34>3 5/</5,.>3 /+ /0 8?55-<> !I ./ /34/ C>0/4Q+F M-5- ./4/52,+-5 0- B,.- b4,0 ./ :+ C,/+ ./C/5Q-+

*>+3,./5-53/9 /+45/ >45>39 0>3 3,=:,/+4/3 <-*4>5/3a ,+4/+3,.-. ./ :4,0,O-*,6+ ./0 C,/+ ]G9! > 2?3 4:5+>3[9

Page 223: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 223/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !!#

>C3>0/3*/+*,- 4)*+,*-9 85>=5-2- ./ 2-+4/+*,6+9 /4*F

]*[ _>+4> ./85/*,-C0/a

K>55/38>+./ -0 B-0>5 C5:4> *>55/=,.> 5/=,345-.> /+ 0,C5>3 2/+>3 /0 B-0>5 5/3,.:-0 /34,2-.>F

GcF J-; B-5,>3 2)4>.>3 8-5- .,345,C:,5 0>3 ,28>54/3 ./85/*,-C0/3 - *-.- 8/5Q>.> *>+4-C0/ .:5-+4/ 0- B,.-b4,0 ./0 -*4,B>F K:-0A:,/5- A:/ 3/- /0 2)4>.> ./ ./85/*,-*,6+ /0/=,.>9 /3 +/*/3-5,> A:/ 3: :3> 3/-

*>+34-+4/9 ,+./8/+.,/+4/ ./0 +,B/0 ./ 5/+4-C,0,.-. ./ 0- /285/3- ; ./ *>+3,./5-*,>+/3 45,C:4-5,-39 8-5-

85>8>5*,>+-5 *>28-5-C,0,.-. /+ 0>3 5/3:04-.>3 ./ 0-3 >8/5-*,>+/3 ./ 0- /285/3- ./ :+ 8/5Q>.> - >45>F

GHF R- ./85/*,-*,6+ ./C/ -*:2:0-53/ /+ 0>3 0,C5>3 8>5 2/.,> ./ :+- *:/+4- *>280/2/+4-5,- ./0 -*4,B>

<,D>9 00-2-.- ./85/*,-*,6+ -*:2:0-.-F W: 3-0.> ./C/ *>55/=,53/ 2>+/4-5,-2/+4/9 ./ -*:/5.> *>+ 0-3

.,38>3,*,>+/3 ./0 S>0/4Q+ ()*+,*> NT G#F

!PF R>3 2)4>.>3 @-C,4:-0/3 ./ ./85/*,-*,6+ 3>+ 0>3 3,=:,/+4/3a

]-[ _)4>.> .,5/*4> > 0Q+/- 5/*4-a

R- ./85/*,-*,6+ ./ 0Q+/- 5/*4- 3/ *-0*:0- 8>5 0- <652:0-a

R- B,.- b4,0 3/ /U85/3- /+ 8/5Q>.>3 ./ 4,/28>9 /3 ./*,59 /+ -V>3 > 2/3/3F

]C[ _)4>.> ./ :+,.-./3 ./ 85>.:**,6+a

70 2)4>.> ./ ./85/*,-*,6+ 8>5 :+,.-./3 ./ 85>.:**,6+ 5/0-*,>+- 0- ./85/*,-*,6+ *>+ 0- *-8-*,.-.

85>.:*4,B- /34,2-.- ./0 -*4,B> ; 3/ /U85/3- /+ :+- 4-3- 8>5 :+,.-. ./ 85>.:**,6+ : @>5-F

R- <652:0- /3a

70 *-5=> 8>5 ./85/*,-*,6+ 8-5- *-.- 8/5Q>.> 3/ ./4/52,+-5? 2:04,80,*-+.> 0- 4-3- 8>5 :+,.-.9 *-0*:0-.-

]f-0>5 C5:4> *>55/=,.>  –   ./85/*,-*,6+-*:2:0-.- *>55/=,.-[  –   B-0>5 5/3,.:-0*>55/=,.>

 f,.- b4,0 5/2-+/+4/

`/85/*,-*,6+ ./0 8/5Q>.>g

 f-0>5 C5:4> *>55/=,.> 2/+>3 B-0>5

5/3,.:-0 *>55/=,.>

\+,.-./3 ./ 85>.:**,6+ : @>5- ./:4,0,O-*,6+ /34,2-.-3 4>4-0/3

 (-3- 8>5 :+,.-. ./ 85>.:**,6+: @>5-3

g

Page 224: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 224/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !!$

3/=b+ 0- <652:0- -+4/5,>59 8>5 0-3 :+,.-./3 5/-0/3 ./ 85>.:**,6+ > 4,/28> ./ :4,0,O-*,6+ ./ /3/ 2,32>

8/5Q>.>F

"#"%"4 $& 86 $&.=&%"6%"4#

!GF  R- ./85/*,-*,6+ 3/ ,+,*,- *:-+.> /0 C,/+ *>2,/+O- - 3/5 :4,0,O-.> +>52-02/+4/F W, :+- ,+34-0-*,6+3/ *>+345:;/ 8>5 /4-8-39 0- ./85/*,-*,6+ ./ 0- 8-54/ ./0 -*4,B> A:/ *>55/38>+./ - *-.- /4-8- ./C/

*>2/+O-5 *:-+.> /00- /+45/ /+ :3> +>52-0F

"#:5686%"4#&: "#6%5"C6: Z 6%5"C4: L"B4: _>& :& <6#5"&#&# .6=6

.4:5&="4=

 C&#56 4 $&:6==4884 L>5>=4

!!F 7+ *-3> A:/ 3/ 2-+4/+=-+ -*4,B>3 <,D>3 8-5- 0- B/+4- > A:/ 3/ /38/5- /34)+ ,+-*4,B>3 8>5 4,/28>

,+./<,+,.>9 ./C/5? 3:38/+./53/ 3: ./85/*,-*,6+F 10 2,32> 4,/28>9 /0 B-0>5 +/4> ./ 0,C5>3 ./C/5? -D:34-53/- 3: B-0>5 /34,2-.> ./ 5/-0,O-*,6+9 *:-+.> /34/ b04,2> 3/- 2/+>59 *>+ *-5=> - 0>3 5/3:04-.>3 ./0 /D/5*,*,>9

C-D> /0 5:C5> =-34>3 -D/+>3 - 0- /U80>4-*,6+F 70 B-0>5 ./ /34>3 -*4,B>3 ./C/5? 85/3/+4-53/ 3/=5/=-.> ./0

-*4,B> <,D> /+ :3>9 5/B/0-+.> /+ :+- +>4- 0>3 -D:34/3 A:/ 3/ @-;-+ /</*4:-.>F

!#F R-3 ,+34-0-*,>+/3 4/28>5-02/+4/ ,+-*4,B-3 ./C/+ *>+4,+:-53/ ./85/*,-+.>9 -b+ *:-+.> 3/ :3/+

2)4>.>3 ./ ./85/*,-*,6+ C-3-.>3 /+ :+,.-./3 ./ 85>.:**,6+ > /+ 0-3 @>5-3 /+ :3>X /+ 4>.> *-3>9 0-

./85/*,-*,6+ 8>5 /0 8/5Q>.> ./ ,+-*4,B,.-. ./C/ ./4/52,+-53/ C-3?+.>3/ /+ :+- *:,.-.>3- /B-0:-*,6+ ./

0-3 *,5*:+34-+*,-3F R- ./85/*,-*,6+ 3/ 85/3/+4-5? C-D> =-34>3 -D/+>3 - 0- /U80>4-*,6+9 5/B/0-+.> /+ :+-+>4- /0 @/*@> A:/ .,*@-3 ,+34-0-*,>+/3 3/ /+*:/+45/+ ,+-*4,B-3 ; /0 *5,4/5,> ./ ./85/*,-*,6+ -.>84-.>F

!$F 7+ /0 *-3> ./ 2-+4/+/5 C,/+/3 ./0 -*4,B> <,D> -.A:,5,.>3 8-5- /0 ./3-55>00> <:4:5>9 ; A:/ +>

*>55/38>+.-+ - >C5-3 /+ *:53>39 /00>3 ./C/5?+ 85/3/+4-53/ C-D> e45>3 1*4,B>39 /+ /0 5:C5> ./ 1*4,B>3

^,D>39 /+ 4-+4> 3/ 2-+4/+=-+ <:/5- ./ :3>F W: B-0>5,O-*,6+ ./C/5? 5/B,3-53/ 8/5,6.,*-2/+4/ *>+ /0 >CD/4>

./ .-5 5/*>+>*,2,/+4> >8>54:+> - 0- 8)5.,.- ./ B-0>5 A:/ 8:.,/5-+ @-C/5 /U8/5,2/+4-.> *>+ 5/38/*4> -

3: B-0>5 ./ 0,C5>3F 7+ :+- +>4- - 0>3 /34-.>3 <,+-+*,/5>3 ./C/5? 5/B/0-53/9 - 0> 2/+>39 /0 B-0>5 ./ /34>3

-*4,B>39 0>3 *5,4/5,>3 /+ A:/ 3/ C-3- .,*@> B-0>59 -3Q *>2> /0 4,/28> A:/ 8/52-+/*/+ ,+-*4,B>3F

=&%>.&=6%"4# $&8 C684= &# 8"7=4:

!%F K:-+.> @-; /B,./+*,- A:/ /+ <>52- 8/52-+/+4/ 0-3 >8/5-*,>+/3 ./ :+- /285/3- +> 85>.:*,5?+

,+=5/3>3 3:<,*,/+4/3 8-5- *:C5,5 4>.>3 0>3 *>34>39 ,+*0:3> 0- ./85/*,-*,6+ ./ 0>3 C,/+/3 ./0 -*4,B> <,D>

4>2-.>3 /+ 3: *>+D:+4>9 ; *:-+.> /0 B-0>5 /+ 0,C5>3 ./ .,*@>3 C,/+/3 3/- 3:8/5,>5 - 3: B-0>5 ./

Page 225: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 225/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !!%

5/-0,O-*,6+9 /34>3 B-0>5/3 ./C/5?+ 5/C-D-53/ @-34- 0>3 2>+4>3 5/*:8/5-C0/39 *>+ *-5=> - 5/3:04-.>3 -D/+>3 -

0- /U80>4-*,6+F

!&F R-3 45-+3-**,>+/3 +> 2>+/4-5,-3 A:/ ,+B>0:*5-+ C,/+/3 ./0 -*4,B> <,D> ./C/+ *>+4-C,0,O-53/ ./ -*:/5.>

*>+ 0-3 +>52-3 A:/ 3/ /34-C0/O*-+ /+ :+ 856U,2> S>0/4Q+ ()*+,*>F

=&.>&:54: $&8 6%5"C4 L"B4

!IF R>3 5/8:/34>3 ./34,+-.>3 - 0- 2-+4/+*,6+ ;o> 5/8-5-*,6+ ./ C,/+/3 ./ :3> ./ 0- /285/3- ; /0 /A:,8>

./ 5/38-0.> 2-+4/+,.> /+ 5/3/5B- 3/ *>+4-C,0,O-5?+ /+ -0=:+- ./ 0-3 <>52-3 ./3*5,4-3 2?3 -./0-+4/9

4/+,/+.> /+ *>+3,./5-*,6+9 /+45/ >45>39 0>3 3,=:,/+4/3 -38/*4>3a B,.- b4,09 B-0>5 5/0-4,B>9 >C3>0/3*/+*,-9 :3>

-04/5+-4,B>9 *>+3:2>9 /4*F

]-[ 1*4,B-+.> /0 *>34> ./ 0>3 5/8:/34>3 ; ./85/*,?+.>0>3 .:5-+4/ 0- B,.- b4,0 /38/5-.- ./0 C,/+ 85,+*,8-0 -

A:/ /34?+ -3>*,-.>3F734/ 2)4>.> 5/3:04- -85>8,-.> 8-5- 5/8:/34>3 A:/ 3,5B/+ 360> 8-5- ./4/52,+-.>3 /A:,8>3 ;9

*>+3/*:/+4/2/+4/9 8:/./+ /34-5 /U8:/34>3 - :+ =5-.> ,28>54-+4/ ./ >C3>0/3*/+*,-F

M-5- /</*4>3 ./ 85/3/+4-*,6+ /+ /0 C-0-+*/ =/+/5-09 /34>3 B-0>5/3 3/ 2>345-5?+ D:+4> - 0>3 -*4,B>3 <,D>39 ;-

3/- <>52-+.> 8-54/ ./ /00>3 > /+ :+ 5:C5> 3/8-5-.>9 ./8/+.,/+.> ./ 3: B-0>5 5/0-4,B> ; 3/ B-0>5,O-5?+ /+

0- <>52- ./3*5,4- /+ /0 8?55-<> NT $ ./ /34/ S>0/4Q+F

 6$_>":"%"4# Z &#6B&#6%"4# $& 7"&#&: $&8 6%5"C4 L"B4 &#

5=6#:6%%"4#&: #4 <4#&56="6:

70 *>+3:2> > :4,0,O-*,6+ ./ /34>3 5/8:/34>3 +/*/3-5,-2/+4/ *>+34,4:,5? :+- 2-+4/+*,6+ > 5/8-5-*,6+ ./0

-*4,B> <,D> ; 3/ 45-4-5? 3/=b+ 0> /34-C0/*,.> /+ 0>3 8?55-<>3 *>55/38>+.,/+4/3 ./ /34/ S>0/4Q+F

]C[ Z28:4-+.> /0 *>34> ./ 0>3 5/8:/34>3 - 5/3:04-.>3 -0 2>2/+4> ./ 3: -.A:,3,*,6+

734/ 2)4>.> 5/3:04- -85>8,-.> 8-5- C,/+/3 ./ B-0>5 5/0-4,B> 8/A:/V> ;o> ./ :+- *>54- B,.- b4,0F

]*[ 1*4,B-+.> /0 *>34> ./ 0>3 5/8:/34>3 / ,28:4?+.>0>3 - 5/3:04-.>3 -0 2>2/+4> ./0 *>+3:2>F

734/ 2)4>.> 5/3:04- -85>8,-.> 8-5- 5/8:/34>3 ./34,+-.>3 - 0- 2-+4/+*,6+ ./ -*4,B> <,D>9 A:/ 4,/+/+ :+ B-0>5 ,+4/52/.,>9 .,34,+4>3 :3>3 -04/5+-4,B>39 *>+3:2> 8/5,6.,*> ;o> C-D> =5-.> ./ >C3>0/3*/+*,-F

M-5- /</*4>3 ./ C-0-+*/ =/+/5-0 0>3 5/8:/34>3 A:/ 3/ /38/5- 3/5?+ *>+3:2,.>3 /+ /0 45-+3*:53> ./ :+ -V>

./C/5?+ *0-3,<,*-53/ *>2> 1*4,B> K,5*:0-+4/ ; /0 3-0.> *>2> e45>3 1*4,B>3 +> K,5*:0-+4/3F

Z+./8/+.,/+4/2/+4/ ./ 3: *0-3,<,*-*,6+9 /34>3 -*4,B>3 ./C/5?+ B-0>5,O-53/ /+ 0- <>52- ./3*5,4- /+ /0

Page 226: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 226/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !!&

8?55-<> $ ./ /34/ C>0/4Q+9 3,+ 8/5D:,*,> ./ 0-3 85>B,3,>+/3 8>5 >C3>0/3*/+*,-9 34>*| /U*/3,B> : >45-3 A:/ 0/3

3/-+ -80,*-C0/3F

!cF R-3 -04/5+-4,B-3 ]-[9 ]C[ ; ]*[ 5/*,)+ 3/V-0-.-3 +> 3/5?+ -80,*-C0/3 - 0>3 5/8:/34>3 ./34,+-.>3 - C,/+/3

A:/ *>2/5*,-0,O- 0- /285/3-9 0>3 *:-0/3 3/ 45-4-5?+ *>2> /U,34/+*,-3F

=&56:6%"4# 5&%#"%6 Z 45=4: 6B>:5&: 6 86 %4==&%%"4# <4#&56="6

!HF 1+4/ 3,4:-*,>+/3 /38/*Q<,*-3 -0=:+-3 /285/3-3 @-+ -D:34-.> 0>3 B-0>5/3 ./ 3: -*4,B> <,D> - C-3/ ./

5/4-3-*,>+/3 4)*+,*-3 ;o> -D:34/3 - 0- *>55/**,6+ 2>+/4-5,-F 7+ >8,+,6+ ./ 0- K>2,3,6+ .,*@>3 -D:34/3

./C/+ 3/5 -+-0,O-.>3 /+ :+ *>+4/U4> -280,> ./0 3,34/2- ./ *>55/**,6+ 2>+/4-5,- *:;> /34:.,> 3/5?

2-4/5,- ./ :+ 856U,2> S>0/4Q+F

%="5&="4: $& &d.4:"%"4#

#PF R-3 3,=:,/+4/3 /U8>3,*,>+/3 ./C/+ @-*/53/ /+ 0>3 /34-.>3 <,+-+*,/5>3 > /+ +>4-3 - 0>3 2,32>3a

]-[ K5,4/5,>3 ./ *>+4-C,0,.-. :4,0,O-.>3a

R- C-3/ ./ B-0>5,O-*,6+ ; ./85/*,-*,6+ ./0 -*4,B> <,D>F

K5,4/5,> 3/=:,.> 8-5- 5/=,345-5 0>3 *>34>3 ./ 2-+4/+*,6+F

]C[ Z+<>52-*,6+ -.,*,>+-0X

7+ 0- 2/.,.- A:/ +> 3/ /+*:/+45/ 5/B/0-.- /+ /0 *:/58> ./ 0>3 /34-.>3 <,+-+*,/5>39 0- 3,=:,/+4/

,+<>52-*,6+ ./C/5? 3/5 .-.- - *>+>*/5 /+ :+- +>4- - 0>3 2,32>3a

`/4-00/ B-0>5,O-.> ./ 0-3 85,+*,8-0/3 *0-3/3 ./ C,/+/3 8>5 3: +-4:5-0/O- > <:+*,6+9 ; 0- ./85/*,-*,6+

-*:2:0-.-9 C,/+ /+ 4>4-0 > 8>5 0-3 *0-3,<,*-*,>+/3 2?3 ,28>54-+4/3F

70 *-5=> 8>5 ./85/*,-*,6+ ./0 8/5Q>.>

L5-B?2/+/3 ; 85/+.-3 A:/ 8:/.-+ -</*4-5 - ./4/52,+-.>3 C,/+/3 ./0 -*4,B> <,D>9 3/V-0-+.> /0 B-0>5 ./ 0-

>C0,=-*,6+ =-5-+4,O-.- ; 3: C/+/<,*,-5,>9 -3Q *>2> /0 B-0>5 0,C5>3 ./ 0>3 5/38/*4,B>3 C,/+/3F

`/4-00/ B-0>5,O-.> ./ 0-3 85,+*,8-0/3 ,+34-0-*,>+/3 ,+-*4,B-39 3/=b+ 0> /34-C0/*,.> /+ /0 8?55-<> !$ ./ /34/

S>0/4Q+F

K>285>2,3>3 ./ -.A:,3,*,6+ ; B/+4- ./ -*4,B>3 <,D>3F

Page 227: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 227/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !!I

3V;3`  6 #&d4 3`2 #"% 3V

#E/J1 "-*(/-1G+E-1O H( %E-*1X+O+H1H #k3V ./ET+(H1H()N .O1-*1 F &f'+TE 

4XP(*+0E 

GF  70 >CD/4,B> ./ /34- N>52- /3 85/3*5,C,5 /0 45-4-2,/+4> *>+4-C0/ ./ 85>8,/.-./39 80-+4- ; /A:,8>9

./ <>52- A:/ 0>3 :3:-5,>3 ./ 0>3 /34-.>3 <,+-+*,/5>3 8:/.-+ *>+>*/5 0- ,+<>52-*,6+ -*/5*- ./ 0-

,+B/53,6+ A:/ 0- /+4,.-. 4,/+/ /+ 3:3 85>8,/.-./39 80-+4- ; /A:,8>9 -3Q *>2> 0>3 *-2C,>3 A:/ 3/

@-;-+ 85>.:*,.> /+ .,*@- ,+B/53,6+F R>3 85,+*,8-0/3 85>C0/2-3 A:/ 85/3/+4- /0 5/*>+>*,2,/+4>

*>+4-C0/ ./ 85>8,/.-./39 80-+4- ; /A:,8> 3>+ 0- *>+4-C,0,O-*,6+ ./ 0>3 -*4,B>39 0- ./4/52,+-*,6+ ./

3: ,28>54/ /+ 0,C5>3 ; 0>3 *-5=>3 8>5 ./85/*,-*,6+ ; 8)5.,.-3 8>5 ./4/5,>5> A:/ ./C/+ 5/*>+>*/53/

*>+ 5/0-*,6+ - 0>3 2,32>3F

 6OG1-G( 

!F  &)*1 #E/J1 H(X( )(/ 1TO+G1H1 (- O1 GE-*1X+O+i1G+,- H( OE) (O(J(-*E) H( T/ET+(H1H()N

 TO1-*1 F (f'+TEN )1O0E G'1-HE E*/1 #E/J1 (j+P1 E T(/J+*1 '- */1*1J+(-*E GE-*1XO(

H+I(/(-*(; 

#F  734- N>52- +> 3/5? ./ -80,*-*,6+ -a

]-[  0-3 85>8,/.-./39 80-+4- ; /A:,8> *0-3,<,*-.-3 *>2> 2-+4/+,.-3 8-5- 0- B/+4- ./ -*:/5.> *>+ 0-

NZZ^ % 1*4,B>3 N> K>55,/+4/3 _-+4/+,.>3 8-5- 0- f/+4- ; e8/5-*,>+/3 `,3*>+4,+:-.-3X

]C[  0>3 -*4,B>3 C,>06=,*>3 5/0-*,>+-.>3 *>+ 0- -*4,B,.-. -=5Q*>0- ]B)-3/ 0- NZK $G 1=5,*:04:5-[X

]*[  /0 5/*>+>*,2,/+4> ; 2/.,*,6+ ./ -*4,B>3 8-5- /U80>5-*,6+ ; /B-0:-*,6+ ]B)-3/ 0- NZZ^ &

7U80>5-*,6+ ; 7B-0:-*,6+ ./ d/*:53>3 _,+/5-0/3[X >

].[  0>3 ./5/*@>3 2,+/5>3 ; 5/3/5B-3 2,+/5-0/3 4-0/3 *>2> 8/4560/>9 =-3 +-4:5-0 ; 5/*:53>3 +>

5/+>B-C0/3 3,2,0-5/3F

N> >C34-+4/9 /34- N>52- 3/5? ./ -80,*-*,6+ - 0>3 /0/2/+4>3 ./ 85>8,/.-./39 80-+4- ; /A:,8> :4,0,O-.>3

8-5- ./3-55>00-5 > 2-+4/+/5 0>3 -*4,B>3 ./3*5,4>3 /+ 0>3 8?55-<>3 ]C[ - ].[F

$F  e45-3 N>52-3 8:/./+ >C0,=-5 - 5/*>+>*/5 :+ ./4/52,+-.> /0/2/+4> ./ 85>8,/.-./39 80-+4- ;

/A:,8> ./ -*:/5.> *>+ :+ 45-4-2,/+4> .,</5/+4/ -0 /U,=,.> /+ /34- N>52-F M>5 /D/280>9 0- NZK GI

 155/+.-2,/+4>3 /U,=/ A:/ 0- /+4,.-. /B-0b/ 3, 4,/+/ A:/ 5/*>+>*/5 :+ /0/2/+4> ./ 85>8,/.-./39

80-+4- ; /A:,8> 3>C5/ 0- C-3/ ./ 0- 45-+32,3,6+ ./ 0>3 5,/3=>3 ; B/+4-D-3F W,+ /2C-5=>9 /+ 4-0/3

*-3>39 /0 5/34> ./ -38/*4>3 3>C5/ /0 45-4-2,/+4> *>+4-C0/ ./ 0>3 *,4-.>3 -*4,B>39 ,+*0:;/+.> 3:

Page 228: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 228/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !!c

./85/*,-*,6+9 3/ =:,-5?+ 8>5 0>3 5/A:/5,2,/+4>3 ./ 0- 85/3/+4/ N>52-F

%F  \+- /+4,.-. A:/ :4,0,*/ /0 2>./0> ./0 *>34> 8-5- 0-3 85>8,/.-./3 ./ ,+B/53,6+ ./ -*:/5.> *>+ 0-

NZK $P M5>8,/.-./3 ./ Z+B/53,6+9 :4,0,O-5? /0 2>./0> ./0 *>34> -0 -80,*-5 /34- N>52-F

$(I+-+G+E-() 

&F  8E) *e/J+-E) )+S'+(-*() )( ')1-N (- ()*1 #E/J1N GE- OE) )+S-+I+G1HE) f'( 1 GE-*+-'1G+,-

)( ()T(G+I+G1-2 

"JTE/*( (- O+X/E) () (O +JTE/*( TE/ (O f'( )( /(GE-EG( '- 1G*+0EN '-1 0(i H(H'G+H1) O1

H(T/(G+1G+,- 1G'J'O1H1 F O1) Te/H+H1) TE/ H(*(/+E/E H(O 01OE/ 1G'J'O1H1); 

%E)*E () (O +JTE/*( H( (I(G*+0E E (f'+01O(-*() 1O (I(G*+0E T1S1HE)N E X+(- (O 01OE/ /1iE-1XO(

H( O1 GE-*/1T/()*1G+,- (-*/(S1H1N T1/1 1Hf'+/+/ '- 1G*+0E (- (O JEJ(-*E H( )' 1Hf'+)+G+,- E

GE-)*/'GG+,- EN G'1-HE I'(/( 1TO+G1XO(N (O +JTE/*( f'( )( 1*/+X'F( 1 ()( 1G*+0E G'1-HE )( OE/(GE-EG( +-+G+1OJ(-*( H( 1G'(/HE GE- OE) /(f'(/+J+(-*E) ()T(GgI+GE) H( E*/1) #""LN TE/ (P(JTOE

O1 #""L A .1SE) 71)1HE) (- 6GG+E-();

"JTE/*( H(T/(G+1XO( () (O GE)*E H( '- 1G*+0EN ' E*/E +JTE/*( f'( OE U1F1 )')*+*'+HE 9 J(-E) )'

 01OE/ /()+H'1O; 

$(T/(G+1G+,- () O1 H+)*/+X'G+,- )+)*(Jh*+G1 H(O +JTE/*( H(T/(G+1XO( H( '- 1G*+0E 1 OE O1/SE H(

)' 0+H1 s*+O; 

 C1OE/ ()T(GgI+GE T1/1 '-1 (-*+H1H () (O 01OE/ T/()(-*( H( OE) IO'PE) H( (I(G*+0E f'( O1 (-*+H1H

()T(/1 EX*(-(/ H(O ')E GE-*+-'1HE H( '- 1G*+0E F H( )' H+)TE)+G+,- 1O *e/J+-E H( )' 0+H1 s*+ON E

X+(- H( OE) H()(JXEO)E) f'( ()T(/1 /(1O+i1/ T1/1 G1-G(O1/ '- T1)+0E; 

 C1OE/ /1iE-1XO( () (O +JTE/*( TE/ (O G'1O '- 1G*+0E TEH/g1 )(/ +-*(/G1JX+1HE (-*/( T1/*()

+-*(/()1H1) F H(X+H1J(-*( +-IE/J1H1)N (- '-1 */1-)1GG+,- /(1O+i1H1 (- GE-H+G+E-() H(

+-H(T(-H(-G+1 J'*'1; 

>-1 Te/H+H1 TE/ H(*(/+E/E () (O (jG()E H(O +JTE/*( (- O+X/E) H( '- 1G*+0E )EX/( )' +JTE/*(/(G'T(/1XO(F

81) T/ET+(H1H()N TO1-*1 F (f'+TE )E- 1G*+0E) *1-S+XO() f'(2 

b1R  TE)(( '-1 (-*+H1H T1/1 )' ')E (- O1 T/EH'GG+,- E )'J+-+)*/E H( X+(-() F )(/0+G+E)N T1/1

1//(-H1/OE) 1 *(/G(/E) E T1/1 T/ET,)+*E) 1HJ+-+)*/1*+0E)z F 

Page 229: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 229/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !!H

bXR  )( ()T(/1- ')1/ H'/1-*( Jh) H( '- T(/+EHE; 

"JTE/*( /(G'T(/1XO(N () (O J1FE/ (-*/( (O 01OE/ /1iE-1XO( J(-E) OE) GE)*E) H( 0(-*1 H( '-

1G*+0E F )' 01OE/ (- ')E; 

&O 01OE/ /()+H'1O H( '- 1G*+0E () (O +JTE/*( ()*+J1HE f'( O1 (-*+H1H TEH/g1 EX*(-(/1G*'1OJ(-*( TE/ O1 H+)TE)+G+,- H(O (O(J(-*EN H()T'e) H( H(H'G+/ OE) GE)*E) ()*+J1HE) TE/ *1O

H+)TE)+G+,-N )+ (O 1G*+0E F1 U'X+(/1 1OG1-i1HE O1 1-*+S~(H1H F O1) H(Jh) GE-H+G+E-() ()T(/1H1) 1O

*e/J+-E H( )' 0+H1 s*+O; 

 C+H1 s*+O ()2 

b1R (O T(/+EHE H'/1-*( (O G'1O )( ()T(/1 '*+O+i1/ (O 1G*+0E TE/ T1/*( H( O1 (-*+H1Hz E 

bXR (O -sJ(/E H( '-+H1H() H( T/EH'GG+,- E )+J+O1/() f'( )( ()T(/1 EX*(-(/ H(O J+)JE TE/

 T1/*( H( '-1 (-*+H1H; 

=(GE-EG+J+(-*E 

IF  >- (O(J(-*E H( T/ET+(H1H()N TO1-*1 F (f'+TE )( /(GE-EG(/h GEJE 1G*+0E )+N F ),OE )+2 

b1R )(1 T/EX1XO( f'( O1 (-*+H1H EX*(-S1 OE) X(-(I+G+E) (GE-,J+GE) I'*'/E) H(/+01HE) H(O

J+)JEz F 

bXR (O GE)*E H(O (O(J(-*E T'(H( J(H+/)( GE- I+1X+O+H1H; 

cF  R-3 8,/O-3 ./ 5/8:/34> ; /0 /A:,8> -:U,0,-5 3/ 5/=,345-+ @-C,4:-02/+4/ *>2> ,+B/+4-5,>39 ; 3/

5/*>+>*/+ /+ /0 5/3:04-.> ./0 8/5,>.> *:-+.> 3/ *>+3:2/+F W,+ /2C-5=>9 0-3 8,/O-3 ./ 5/8:/34>

,28>54-+4/3 ; /0 /A:,8> ./ 2-+4/+,2,/+4> 8/52-+/+4/9 A:/ 0- /+4,.-. /38/5/ :4,0,O-5 .:5-+4/ 2?3

./ :+ 8/5,>.>9 *:280/+ +>52-02/+4/ 0-3 *>+.,*,>+/3 8-5- 3/5 *-0,<,*-.>3 *>2> /0/2/+4>3 ./

85>8,/.-./39 80-+4- ; /A:,8>F `/ <>52- 3,2,0-59 3, 0-3 8,/O-3 ./ 5/8:/34> ; /0 /A:,8> -:U,0,-5 360>

8:.,/5-+ 3/5 :4,0,O-.>3 *>+ 5/0-*,6+ - :+ /0/2/+4> ./ 85>8,/.-./39 80-+4- ; /A:,8>9 3/

*>+4-C,0,O-5?+ *>2> 85>8,/.-./39 80-+4- ; /A:,8>F

HF  734- N>52- +> /34-C0/*/ 0- :+,.-. ./ 2/.,*,6+ 8-5- 85>863,4>3 ./ 5/*>+>*,2,/+4>9 8>5 /D/280>

+> .,*/ /+ A:) *>+3,34/ :+- 8-54,.- ./ 85>8,/.-./39 80-+4- ; /A:,8>F M>5 /00>9 3/ 5/A:,/5/ 0-5/-0,O-*,6+ ./ D:,*,>3 8-5- -80,*-5 0>3 *5,4/5,>3 ./ 5/*>+>*,2,/+4> - 0-3 *,5*:+34-+*,-3 /38/*Q<,*-3 ./

0- /+4,.-.F M>.5Q- 3/5 -85>8,-.> -=5/=-5 8-54,.-3 A:/ ,+.,B,.:-02/+4/ 3>+ 8>*> 3,=+,<,*-4,B-39 4-0/3

*>2> 2>0./39 @/55-2,/+4-3 ; 45>A:/0/39 ; -80,*-5 0>3 *5,4/5,>3 8/54,+/+4/3 - 0>3 B-0>5/3 4>4-0/3 ./

0-3 2,32-3F

GPF R- /+4,.-. /B-0:-5?9 ./ -*:/5.> *>+ /34/ 85,+*,8,> ./ 5/*>+>*,2,/+4>9 4>.>3 0>3 *>34>3 ./

Page 230: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 230/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !#P

85>8,/.-./39 80-+4- ; /A:,8> /+ /0 2>2/+4> /+ A:/ 3/ ,+*:55/ /+ /00>3F 734>3 *>34>3 *>285/+./+

4-+4> -A:)00>3 /+ A:/ 3/ @- ,+*:55,.> ,+,*,-02/+4/ 8-5- -.A:,5,5 > *>+345:,5 :+- 8-54,.- ./

85>8,/.-./39 80-+4- ; /A:,8>9 *>2> 0>3 *>34>3 ,+*:55,.>3 8>34/5,>52/+4/ 8-5- -V-.,59 3:34,4:,5

8-54/ ./ > 2-+4/+/5 /0 /0/2/+4> *>55/38>+.,/+4/F

%E)*E) +-+G+1O() 

GGF  10=:+>3 /0/2/+4>3 ./ 85>8,/.-./39 80-+4- ; /A:,8> 8:/./+ 3/5 -.A:,5,.>3 8>5 5-O>+/3 ./

3/=:5,.-. > ./ Q+.>0/ 2/.,>-2C,/+4-0F 1:+A:/ 0- -.A:,3,*,6+ ./ /3/ 4,8> ./ 85>8,/.-./39 80-+4- ;

/A:,8> +> ,+*5/2/+4/ 0>3 C/+/<,*,>3 /*>+62,*>3 A:/ 85>8>5*,>+-+ 0-3 8-54,.-3 ./ 85>8,/.-./39

80-+4- ; /A:,8> /U,34/+4/39 8:/./ 3/5 +/*/3-5,- 8-5- A:/ 0- /+4,.-. 0>=5/ >C4/+/5 0>3 C/+/<,*,>3

/*>+62,*>3 ./5,B-.>3 ./0 5/34> ./ 0>3 -*4,B>3F `,*@>3 /0/2/+4>3 ./ 85>8,/.-./39 80-+4- ; /A:,8>

*:280/+ 0-3 *>+.,*,>+/3 8-5- 3: 5/*>+>*,2,/+4> *>2> -*4,B>3 8>5A:/ 8/52,4/+ - 0- /+4,.-.

>C4/+/5 C/+/<,*,>3 /*>+62,*>3 -.,*,>+-0/3 ./0 5/34> ./ 3:3 -*4,B>39 5/38/*4> - 0>3 A:/ @:C,/5-

>C4/+,.> 3, +> 0>3 @:C,/5- -.A:,5,.>F M>5 /D/280>9 :+- ,+.:345,- A:Q2,*- 8:/./ 4/+/5 A:/ ,+34-0-5

+:/B>3 85>*/3>3 ./ <-C5,*-*,6+ 8-5- *:280,5 *>+ 0- +>52-4,B- 2/.,>-2C,/+4-0 5/0-4,B- - 0-

85>.:**,6+ ; -02-*/+-2,/+4> ./ 85>.:*4>3 A:Q2,*>39 5/*>+>*,/+.> /+4>+*/3 *>2> 8-54/ ./

85>8,/.-./39 80-+4- ; /A:,8> 0-3 2/D>5-3 /</*4:-.-3 /+ 0- 80-+4-9 /+ 0- 2/.,.- A:/ 3/-+

5/*:8/5-C0/39 8:/34> A:/ 3,+ /00-3 0- /+4,.-. A:/.-5Q- ,+@-C,0,4-.- 8-5- 85>.:*,5 ; B/+./5 /3>3

85>.:*4>3 A:Q2,*>3F N> >C34-+4/9 /0 ,28>54/ /+ 0,C5>3 5/3:04-+4/ ./ 4-0/3 -*4,B>3 ; >45>3

5/0-*,>+-.>3 *>+ /00>3 3/ 5/B,3-5? 8-5- *>285>C-5 0- /U,34/+*,- ./ ./4/5,>5> ./0 B-0>59 ./ -*:/5.>*>+ 0- NZK #& `/4/5,>5> ./0 f-0>5 ./ 0>3 1*4,B>3F

%E)*E) TE)*(/+E/() 

G!F `/ -*:/5.> *>+ /0 *5,4/5,> ./ 5/*>+>*,2,/+4> *>+4/+,.> /+ /0 8?55-<> I9 0- /+4,.-. +> 5/*>+>*/5?9

/+ /0 ,28>54/ /+ 0,C5>3 ./ :+ /0/2/+4> ./ 85>8,/.-./39 80-+4- ; /A:,8>9 0>3 *>34>3 ./5,B-.>3 ./0

2-+4/+,2,/+4> .,-5,> ./0 /0/2/+4>F (-0/3 *>34>3 3/ 5/*>+>*/5?+ /+ /0 5/3:04-.> *:-+.> 3/ ,+*:55-

/+ /00>3F R>3 *>34>3 ./0 2-+4/+,2,/+4> .,-5,> 3>+ 85,+*,8-02/+4/ 0>3 *>34>3 ./ 2-+> ./ >C5- ; 0>3

*>+3:2,C0/39 A:/ 8:/./+ ,+*0:,5 /0 *>34> ./ 8/A:/V>3 *>28>+/+4/3F 70 >CD/4,B> ./ /34>3./3/2C>03>3 3/ ./3*5,C/ - 2/+:.> *>2> '5/8-5-*,>+/3 ; *>+3/5B-*,6+' ./0 /0/2/+4> ./

85>8,/.-./39 80-+4- ; /A:,8>F

G#F K,/54>3 *>28>+/+4/3 ./ -0=:+>3 /0/2/+4>3 ./ 85>8,/.-./39 80-+4- ; /A:,8> 8:/./+ +/*/3,4-5 3/5

5//280-O-.>3 - ,+4/5B-0>3 5/=:0-5/3F M>5 /D/280>9 :+ @>5+> 8:/./ +/*/3,4-5 5/B,3,>+/3 ; *-2C,>3

45-3 :+ ./4/52,+-.> +b2/5> ./ @>5-3 ./ <:+*,>+-2,/+4>9 ; 0>3 *>28>+/+4/3 ,+4/5,>5/3 ./ :+-

Page 231: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 231/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !#G

-/5>+-B/9 4-0/3 *>2> -3,/+4>3 > ,+34-0-*,>+/3 ./ *>*,+-9 8:/./+ +/*/3,4-5 3/5 3:34,4:,.>3 B-5,-3

 B/*/3 - 0> 0-5=> ./ 0- B,.- ./ 0- -/5>+-B/F K,/54>3 /0/2/+4>3 ./ 85>8,/.-./39 80-+4- ; /A:,8>

8:/./+ 3/5 -.A:,5,.>3 8-5- @-*/5 :+- 3:34,4:*,6+ 5/*:55/+4/ 2/+>3 <5/*:/+4/9 *>2> 8>.5Q- 3/5 0-

3:34,4:*,6+ ./ 0>3 4-C,A:/3 ./ :+ /.,<,*,>9 > 8-5- 85>*/./5 - :+ 5/*-2C,> +> <5/*:/+4/F `/

-*:/5.> *>+ /0 *5,4/5,> ./ 5/*>+>*,2,/+4> ./0 8?55-<> I9 0- /+4,.-. 5/*>+>*/5?9 ./+45> ./0 ,28>54/

/+ 0,C5>3 ./ :+ /0/2/+4> ./ 85>8,/.-./39 80-+4- ; /A:,8>9 /0 *>34> ./ 0- 3:34,4:*,6+ ./ 8-54/ ./

.,*@> /0/2/+4> *:-+.> 3/ ,+*:55- /+ /3/ *>34>9 3,/285/ A:/ 3/ *:280- /0 *5,4/5,> ./

5/*>+>*,2,/+4>F 70 ,28>54/ /+ 0,C5>3 ./ /3-3 8-54/3 A:/ 3/ 3:34,4:;/+ 3/ .-5? ./ C-D- /+ *:/+4-39

./ -*:/5.> *>+ 0-3 .,38>3,*,>+/3 A:/ -0 5/38/*4> *>+4,/+/ /34- N>52- ]B)-+3/ 0>3 8?55-<>3 &I -

I![F

G$F \+- *>+.,*,6+ 8-5- A:/ -0=:+>3 /0/2/+4>3 ./ 85>8,/.-./39 80-+4- ; /A:,8> *>+4,+b/+ >8/5-+.>9

]8>5 /D/280>9 :+- -/5>+-B/[ 8:/./ 3/5 0- 5/-0,O-*,6+ 8/5,6.,*- ./ ,+38/**,>+/3 =/+/5-0/3 8>5

./</*4>39 ,+./8/+.,/+4/2/+4/ ./ A:/ 0-3 8-54/3 ./0 /0/2/+4> 3/-+ 3:34,4:,.-3 > +>F K:-+.> 3/

5/-0,*/ :+- ,+38/**,6+ =/+/5-09 3: *>34> 3/ 5/*>+>*/5? /+ /0 ,28>54/ /+ 0,C5>3 ./0 /0/2/+4> ./

85>8,/.-./39 80-+4- ; /A:,8> *>2> :+- 3:34,4:*,6+9 3, 3/ 3-4,3<-*/+ 0-3 *>+.,*,>+/3 8-5- 3:

5/*>+>*,2,/+4>F 10 2,32> 4,/28>9 3/ .-5? ./ C-D- *:-0A:,/5 ,28>54/ /+ 0,C5>3 ./0 *>34> ./ :+-

,+38/**,6+ 85/B,-9 A:/ 8/52-+/O*- /+ 0- *,4-.- 8-54,.- ; 3/- .,34,+4> ./ 0>3 *>28>+/+4/3 <Q3,*>3

+> 3:34,4:,.>3F 734> 3:*/./5? *>+ ,+./8/+./+*,- ./ A:/ /0 *>34> ./ 0- ,+38/**,6+ 85/B,- <:/5-

,./+4,<,*-.> *>+4-C0/2/+4/ ./+45> ./ 0- 45-+3-**,6+ 2/.,-+4/ 0- *:-0 3/ -.A:,5,6 > *>+345:;6

.,*@- 8-54,.-F W, <:/5- +/*/3-5,>9 8:/./ :4,0,O-53/ /0 *>34> /34,2-.> ./ :+- ,+38/**,6+ 3,2,0-5<:4:5- *>2> ,+.,*-.>5 ./ *:?0 <:/ /0 *>34> ./0 *>28>+/+4/ ./ ,+38/**,6+ /U,34/+4/ *:-+.> 0-

8-54,.- <:/ -.A:,5,.- > *>+345:,.-F

_/.,*,6+ /+ /0 2>2/+4> ./0 5/*>+>*,2,/+4>

G%F >- (O(J(-*E H( T/ET+(H1H()N TO1-*1 F (f'+TEN f'( G'JTO1 O1) GE-H+G+E-() T1/1 )(/

/(GE-EG+HE GEJE '- 1G*+0EN )( J(H+/h TE/ )' GE)*E; 

%EJTE-(-*() H(O GE)*E 

G&F 70 *>34> ./ 0>3 /0/2/+4>3 ./ 85>8,/.-./39 80-+4- ; /A:,8> *>285/+./a

]-[  W: 85/*,> ./ -.A:,3,*,6+9 ,+*0:,.>3 0>3 -5-+*/0/3 ./ ,28>54-*,6+ ; 0>3 ,28:/34>3 ,+.,5/*4>3 +>

5/*:8/5-C0/3 A:/ 5/*-,=-+ 3>C5/ 0- -.A:,3,*,6+9 ./38:)3 ./ ./.:*,5 *:-0A:,/5 ./3*:/+4> >

5/C-D- ./0 85/*,>F

]C[  (>.>3 0>3 *>34>3 .,5/*4-2/+4/ -45,C:,C0/3 - 0- :C,*-*,6+ ./0 -*4,B> /+ /0 0:=-5 ; /+ 0-3

Page 232: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 232/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !#!

*>+.,*,>+/3 +/*/3-5,-3 8-5- A:/ 8:/.- >8/5-5 ./ 0- <>52- 85/B,34- 8>5 0- =/5/+*,-F

]*[  R- /34,2-*,6+ ,+,*,-0 ./ 0>3 *>34>3 ./ ./32-+4/0-2,/+4> ; 5/4,5> ./0 /0/2/+4>9 -3Q *>2> 0-

5/@-C,0,4-*,6+ ./0 0:=-5 3>C5/ /0 A:/ 3/ -3,/+4-9 0- >C0,=-*,6+ /+ A:/ ,+*:55/ :+- /+4,.-.

*:-+.> -.A:,/5/ /0 /0/2/+4> > *>2> *>+3/*:/+*,- ./ @-C/5 :4,0,O-.> .,*@> /0/2/+4>

.:5-+4/ :+ ./4/52,+-.> 8/5,>.>9 *>+ 85>863,4>3 .,34,+4>3 -0 ./ 85>.:**,6+ ./ ,+B/+4-5,>3

.:5-+4/ 4-0 8/5,>.>F

GIF W>+ /D/280>3 ./ *>34>3 -45,C:,C0/3 .,5/*4-2/+4/a

]-[  0>3 *>34>3 ./ C/+/<,*,>3 - 0>3 /280/-.>3 ]3/=b+ 3/ ./<,+/+ /+ 0- NZK GH S/+/<,*,>3 - 0>3

7280/-.>3[9 A:/ 85>*/.-+ .,5/*4-2/+4/ ./ 0- *>+345:**,6+ > -.A:,3,*,6+ ./ :+ /0/2/+4> ./

85>8,/.-./39 80-+4- ; /A:,8>X

]C[  0>3 *>34>3 ./ 85/8-5-*,6+ ./0 /280-O-2,/+4> <Q3,*>X

]*[  0>3 *>34>3 ./ /+45/=- ,+,*,-0 ; 0>3 ./ 2-+,8:0-*,6+ > 45-+38>54/ 8>34/5,>5X

].[  0>3 *>34>3 ./ ,+34-0-*,6+ ; 2>+4-D/X

]/[  0>3 *>34>3 ./ *>285>C-*,6+ ./ A:/ /0 -*4,B> <:+*,>+- -./*:-.-2/+4/9 ./38:)3 ./ ./.:*,5 0>3

,28>54/3 +/4>3 ./ 0- B/+4- ./ *:-0/3A:,/5- /0/2/+4>3 85>.:*,.>3 .:5-+4/ /0 85>*/3> ./

,+34-0-*,6+ ; 8:/34- - 8:+4> ./0 -*4,B> ]4-0/3 *>2> 2:/345-3 85>.:*,.-3 2,/+45-3 3/ 85>C-C-

/0 /A:,8>[X ;

]<[  0>3 @>+>5-5,>3 85></3,>+-0/3F

GcF R- /+4,.-. -80,*-5? 0- NZK ! Z+B/+4-5,>3 8-5- *>+4-C,0,O-5 0>3 *>34>3 ./5,B-.>3 ./ 0-3 >C0,=-*,>+/3

8>5 ./32-+4/0-2,/+4>9 5/4,5> ; 5/@-C,0,4-*,6+ ./0 0:=-5 3>C5/ /0 A:/ 3/ -3,/+4- /0 /0/2/+4>9 /+ 0>3A:/ 3/ @-;- ,+*:55,.> .:5-+4/ :+ ./4/52,+-.> 8/5,>.> *>2> *>+3/*:/+*,- ./ @-C/5 :4,0,O-.>

.,*@> /0/2/+4> 8-5- 85>.:*,5 ,+B/+4-5,>3F R-3 >C0,=-*,>+/3 8>5 0>3 *>34>3 *>+4-C,0,O-.>3 ./

-*:/5.> *>+ 0- NZK ! > 0- NZK G& 3/ 5/*>+>*/5?+ ; 2/.,5?+ ./ -*:/5.> *>+ 0- NZK #I

M5>B,3,>+/39 M-3,B>3 K>+4,+=/+4/3 ; 1*4,B>3 K>+4,+=/+4/3F

GHF 7D/280>3 ./ *>34>3 A:/ +> <>52-+ 8-54/ ./0 *>34> ./ :+ /0/2/+4> ./ 85>8,/.-./39 80-+4- ;

/A:,8> 3>+ 0>3 3,=:,/+4/3a

]-[  *>34>3 ./ -8/54:5- ./ :+- +:/B- ,+34-0-*,6+ 85>.:*4,B-X

]C[  0>3 *>34>3 ./ ,+45>.:**,6+ ./ :+ +:/B> 85>.:*4> > 3/5B,*,> ],+*0:;/+.> 0>3 *>34>3 ./

-*4,B,.-./3 8:C0,*,4-5,-3 ; 85>2>*,>+-0/3[X

]*[  0>3 *>34>3 ./ -8/54:5- ./0 +/=>*,> /+ :+- +:/B- 0>*-0,O-*,6+ > .,5,=,50> - :+ +:/B> 3/=2/+4>

./ *0,/+4/0- ],+*0:;/+.> 0>3 *>34>3 ./ <>52-*,6+ ./0 8/53>+-0[X ;

].[  0>3 *>34>3 ./ -.2,+,345-*,6+ ; >45>3 *>34>3 ,+.,5/*4>3 =/+/5-0/3F

Page 233: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 233/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !##

!PF 70 5/*>+>*,2,/+4> ./ 0>3 *>34>3 /+ /0 ,28>54/ /+ 0,C5>3 ./ :+ /0/2/+4> ./ 85>8,/.-./39 80-+4- ;

/A:,8> 4/52,+-5? *:-+.> /0 /0/2/+4> 3/ /+*:/+45/ /+ /0 0:=-5 ; *>+.,*,>+/3 +/*/3-5,-3 8-5- >8/5-5

./ 0- <>52- 85/B,34- 8>5 0- =/5/+*,-F M>5 /00>9 0>3 *>34>3 ,+*:55,.>3 8>5 0- :4,0,O-*,6+ > 8>5 0-

5/85>=5-2-*,6+ ./0 :3> ./ :+ /0/2/+4> +> 3/ ,+*0:,5?+ /+ /0 ,28>54/ /+ 0,C5>3 ./0 /0/2/+4>

*>55/38>+.,/+4/F M>5 /D/280>9 0>3 3,=:,/+4/3 *>34>3 +> 3/ ,+*0:,5?+ /+ /0 ,28>54/ /+ 0,C5>3 ./ :+

/0/2/+4> ./ 85>8,/.-./39 80-+4- ; /A:,8>a

]-[  *>34>3 ,+*:55,.>3 *:-+.> :+ /0/2/+4>9 *-8-O ./ >8/5-5 ./ 0- <>52- 85/B,34- 8>5 0- =/5/+*,-9

4>.-BQ- 4,/+/ A:/ 3/5 8:/34> /+ 2-5*@- > /34? >8/5-+.> 8>5 ./C-D> ./ 3: *-8-*,.-. 80/+-X

]C[ 8)5.,.-3 >8/5-4,B-3 ,+,*,-0/39 4-0/3 *>2> 0-3 ,+*:55,.-3 2,/+45-3 3/ ./3-55>00- 0- ./2-+.- ./

0>3 85>.:*4>3 A:/ 3/ /0-C>5-+ *>+ /0 /0/2/+4>X ;

]*[  *>34>3 ./ 5/:C,*-*,6+ > 5/>5=-+,O-*,6+ ./ 8-54/ > ./ 0- 4>4-0,.-. ./ 0-3 >8/5-*,>+/3 ./ 0-

/+4,.-.F

!GF  10=:+-3 >8/5-*,>+/39 3, C,/+ 5/0-*,>+-.-3 *>+ 0- *>+345:**,6+ > ./3-55>00> ./ :+ /0/2/+4> ./

85>8,/.-./39 80-+4- ; /A:,8>9 +> 3>+ +/*/3-5,-3 8-5- :C,*-5 -0 -*4,B> /+ /0 0:=-5 ; *>+.,*,>+/3

+/*/3-5,>3 8-5- A:/ 8:/.- >8/5-5 ./ 0- <>52- 85/B,34- 8>5 0- =/5/+*,-F 734-3 >8/5-*,>+/3

-**/3>5,-3 8:/./+ 4/+/5 0:=-5 -+4/3 > .:5-+4/ 0-3 -*4,B,.-./3 ./ *>+345:**,6+ > ./ ./3-55>00>F M>5

/D/280>9 8:/./+ >C4/+/53/ ,+=5/3>3 2/.,-+4/ /0 :3> ./ :+ 3>0-5 *>2> -8-5*-2,/+4> @-34- A:/

*>2,/+*/ 0- *>+345:**,6+F M:/34> A:/ /34-3 >8/5-*,>+/3 -**/3>5,-3 +> 3>+ ,285/3*,+.,C0/3 8-5-

*>0>*-5 -0 /0/2/+4> /+ /0 0:=-5 ; *>+.,*,>+/3 +/*/3-5,>3 8-5- >8/5-5 ./ 0- <>52- 85/B,34- 8>5 0-

=/5/+*,-9 0>3 ,+=5/3>3 ; =-34>3 -3>*,-.>3 - 0-3 2,32-3 3/ 5/*>+>*/5?+ /+ /0 5/3:04-.> ./0 8/5,>.>92/.,-+4/ 3: ,+*0:3,6+ ./+45> 0-3 *0-3/3 -85>8,-.-3 ./ ,+=5/3>3 ; =-34>3F

!!F 70 *>34> ./ :+ -*4,B> *>+345:,.> 8>5 0- 85>8,- /+4,.-. 3/ ./4/52,+-5? :4,0,O-+.> 0>3 2,32>3

85,+*,8,>3 A:/ 3, <:/5- :+ /0/2/+4> ./ 85>8,/.-./39 80-+4- ; /A:,8> -.A:,5,.>F W, 0- /+4,.-.

<-C5,*- -*4,B>3 3,2,0-5/3 8-5- 3: B/+4-9 /+ /0 *:53> +>52-0 ./ 3: >8/5-*,6+9 /0 *>34> ./0 -*4,B> 3/5?9

+>52-02/+4/9 /0 2,32> A:/ 4/+=-+ /0 5/34> ./ 0>3 85>.:*,.>3 8-5- 0- B/+4- ]B)-3/ 0- NZK ![F M>5

4-+4>9 3/ /0,2,+-5? *:-0A:,/5 =-+-+*,- ,+4/5+- 8-5- >C4/+/5 /0 *>34> ./ -.A:,3,*,6+ ./ .,*@>3

-*4,B>3F `/ <>52- 3,2,0-59 +> 3/ ,+*0:,5?+9 /+ /0 *>34> ./ 85>.:**,6+ ./0 -*4,B>9 0-3 *-+4,.-./3 A:/

/U*/.-+ 0>3 5-+=>3 +>52-0/3 ./ *>+3:2> ./ 2-4/5,-0/39 2-+> ./ >C5- : >45>3 <-*4>5/3

/280/-.>3F 7+ 0- NZK !# K>34>3 8>5 M5)34-2>39 3/ /34-C0/*/+ 0>3 *5,4/5,>3 8-5- /0 5/*>+>*,2,/+4>

./ 0>3 ,+4/5/3/3 *>2> *>28>+/+4/3 ./0 ,28>54/ /+ 0,C5>3 ./ :+ /0/2/+4> ./ 85>8,/.-./39 80-+4- ;

/A:,8> *>+345:,.> 8>5 0- 85>8,- /+4,.-.F

Page 234: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 234/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !#$

<(H+G+,- H(O GE)*E 

!#F 70 *>34> ./ :+ /0/2/+4> ./ 85>8,/.-./39 80-+4- ; /A:,8> 3/5? /0 85/*,> /A:,B-0/+4/ /+ /</*4,B> /+

0- </*@- ./ 5/*>+>*,2,/+4>F W, /0 8-=> 3/ -80-O- 2?3 -00? ./ 0>3 4)52,+>3 +>52-0/3 ./ *5).,4>9 0-

.,</5/+*,- /+45/ /0 85/*,> /A:,B-0/+4/ -0 /</*4,B> ; /0 4>4-0 ./ 0>3 8-=>3 3/ 5/*>+>*/5? *>2>

,+4/5/3/3 - 0> 0-5=> ./0 8/5,>.> ./0 *5).,4> - 2/+>3 A:/ 4-0/3 ,+4/5/3/3 3/ *-8,4-0,*/+ ./ -*:/5.>

*>+ 0- NZK !#F

!$F  10=:+>3 /0/2/+4>3 ./ 85>8,/.-./39 80-+4- ; /A:,8> 8:/./+ @-C/5 3,.> -.A:,5,.>3 - *-2C,> ./

:+> > B-5,>3 -*4,B>3 +> 2>+/4-5,>39 > ./ :+- *>2C,+-*,6+ ./ -*4,B>3 2>+/4-5,>3 ; +>

2>+/4-5,>3F R- 3,=:,/+4/ .,3*:3,6+ 3/ 5/<,/5/ 3>0-2/+4/ - 0- 8/52:4- ./ :+ -*4,B> +> 2>+/4-5,>

8>5 >45>9 8/5> 4-2C,)+ /3 -80,*-C0/ - 4>.-3 0-3 8/52:4-3 ./3*5,4-3 /+ /0 85,2/5 ,+*,3> ./ /34/

8?55-<>F 70 *>34> ./ .,*@> /0/2/+4> ./ 85>8,/.-./39 80-+4- ; /A:,8> 3/ 2/.,5? 8>5 3: B-0>5

5-O>+-C0/9 - 2/+>3 A:/ ]-[ 0- 45-+3-**,6+ ./ ,+4/5*-2C,> +> 4/+=- *-5?*4/5 *>2/5*,-09 > ]C[ +>8:/.- 2/.,53/ *>+ <,-C,0,.-. /0 B-0>5 5-O>+-C0/ ./0 -*4,B> 5/*,C,.> +, /0 ./0 -*4,B> /+45/=-.>F 70

/0/2/+4> -.A:,5,.> 3/ 2/.,5? ./ /34- <>52- ,+*0:3> *:-+.> 0- /+4,.-. +> 8:/.- .-5 ./ C-D-

,+2/.,-4-2/+4/ /0 -*4,B> /+45/=-.>F W, 0- 8-54,.- -.A:,5,.- +> 3/ 2,./ 8>5 3: B-0>5 5-O>+-C0/9 3:

*>34> 3/ 2/.,5? 8>5 /0 ,28>54/ /+ 0,C5>3 ./0 -*4,B> /+45/=-.>F

!%F \+- /+4,.-. ./4/52,+-5? 3, :+- 45-+3-**,6+ ./ ,+4/5*-2C,> 4,/+/ *-5?*4/5 *>2/5*,-02/.,-+4/ 0-

*>+3,./5-*,6+ ./ 0- 2/.,.- /+ A:/ 3/ /38/5- A:/ *-2C,/+ 3:3 <0:D>3 ./ /</*4,B> <:4:5>3 *>2>

5/3:04-.> ./ 0- 45-+3-**,6+F \+- 45-+3-**,6+ ./ ,+4/5*-2C,> 4,/+/ +-4:5-0/O- *>2/5*,-0 3,a

]-[  0- *>+<,=:5-*,6+ ]5,/3=>9 *-0/+.-5,> / ,28>54/[ ./ 0>3 <0:D>3 ./ /</*4,B> ./0 -*4,B> 5/*,C,.>

.,<,/5/ ./ 0- *>+<,=:5-*,6+ ./ 0>3 <0:D>3 ./ /</*4,B> ./0 -*4,B> 45-+3</5,.>X >

]C[  /0 B-0>5 /38/*Q<,*> 8-5- 0- /+4,.-.9 ./ 0- 8-54/ ./ 3:3 -*4,B,.-./3 -</*4-.-3 8>5 0- 8/52:4-9 3/

 B/ 2>.,<,*-.> *>2> *>+3/*:/+*,- ./0 ,+4/5*-2C,>X ;

]*[  0- .,</5/+*,- ,./+4,<,*-.- /+ ]-[ > /+ ]C[ /3 3,=+,<,*-4,B- -0 *>28-5-50- *>+ /0 B-0>5 5-O>+-C0/

./ 0>3 -*4,B>3 ,+4/5*-2C,-.>3F

 10 ./4/52,+-5 3, :+- 8/52:4- 4,/+/ *-5?*4/5 *>2/5*,-09 /0 B-0>5 /38/*Q<,*> 8-5- 0- /+4,.-. ./ 0-

8-54/ ./ 3:3 -*4,B,.-./3 -</*4-.-3 8>5 0- 45-+3-**,6+ ./C/5? 4/+/5 /+ *:/+4- 0>3 <0:D>3 ./ /</*4,B> ./38:)3

./ ,28:/34>3F 70 5/3:04-.> ./ /34>3 -+?0,3,3 8:/./ 3/5 *0-5> 3,+ A:/ :+- /+4,.-. 4/+=- A:/ 5/-0,O-5 *?0*:0>3

./4-00-.>3F

!&F 70 B-0>5 5-O>+-C0/ ./ :+ -*4,B>9 8-5- /0 A:/ +> /U,34/+ 45-+3-**,>+/3 *>28-5-C0/3 /+ /0 2/5*-.>9

8:/./ 2/.,53/ *>+ <,-C,0,.-. 3, ]-[ 0- B-5,-C,0,.-. /+ /0 5-+=> ./ 0-3 /34,2-*,>+/3 ./0 B-0>5

Page 235: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 235/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !#%

5-O>+-C0/ ./0 -*4,B> +> /3 3,=+,<,*-4,B-9 > ]C[ 0-3 85>C-C,0,.-./3 ./ 0-3 .,</5/+4/3 /34,2-*,>+/39

./+45> ./ /3/ 5-+=>9 8:/./+ 3/5 /B-0:-.-3 5-O>+-C0/2/+4/ ; :4,0,O-.-3 /+ 0- /34,2-*,6+ ./0 B-0>5

5-O>+-C0/F W, 0- /+4,.-. /3 *-8-O ./ ./4/52,+-5 ./ <>52- <,-C0/ 0>3 B-0>5/3 5-O>+-C0/3 ./0 -*4,B>

5/*,C,.> > ./0 -*4,B> /+45/=-.>9 3/ :4,0,O-5? /0 B-0>5 5-O>+-C0/ ./0 -*4,B> /+45/=-.> 8-5- 2/.,5 /0

*>34> ./0 -*4,B> 5/*,C,.>9 - 2/+>3 A:/ 3/ 4/+=- :+- /B,./+*,- 2?3 *0-5- ./0 B-0>5 5-O>+-C0/ ./0

-*4,B> 5/*,C,.>F

!IF 70 *>34> ./ :+ /0/2/+4> ./ 85>8,/.-./39 80-+4- ; /A:,8> A:/ @-;- 3,.> -.A:,5,.> 8>5 /0

-55/+.-4-5,> /+ :+- >8/5-*,6+ ./ -55/+.-2,/+4> <,+-+*,/5>9 3/ ./4/52,+-5? :4,0,O-+.> 0>3

85,+*,8,>3 /34-C0/*,.>3 /+ 0- NZK GIF

!cF 70 ,28>54/ /+ 0,C5>3 ./ :+ /0/2/+4> ./ 85>8,/.-./39 80-+4- ; /A:,8> 8:/./ 3/5 2,+>5-.> 8>5 /0

,28>54/ ./ 0-3 3:CB/+*,>+/3 ./0 =>C,/5+>9 ./ -*:/5.> *>+ 0- NZK !P K>+4-C,0,O-*,6+ ./ 0-3

W:CB/+*,>+/3 ./0 L>C,/5+> / Z+<>52-*,6+ - d/B/0-5 3>C5/ 0-3 1;:.-3 L:C/5+-2/+4-0/3F

<(H+G+,- TE)*(/+E/ 1O /(GE-EG+J+(-*E 

!HF 81 (-*+H1H (O(S+/h GEJE TEOg*+G1 GE-*1XO( (O JEH(OE H(O GE)*E H(O Th//1IE D` E (O JEH(OE

H( /(01O'1G+,- H(O Th//1IE D3N F 1TO+G1/h ()1 TEOg*+G1 1 *EHE) OE) (O(J(-*E) f'( GEJTE-S1-

'-1 GO1)( H( T/ET+(H1H()N TO1-*1 F (f'+TE; 

<EH(OE H(O GE)*E 

#PF %E- TE)*(/+E/+H1H 1 )' /(GE-EG+J+(-*E GEJE 1G*+0EN '- (O(J(-*E H( T/ET+(H1H()N TO1-*1

 F (f'+TE )( /(S+)*/1/h TE/ )' GE)*E J(-E) O1 H(T/(G+1G+,- 1G'J'O1H1 F (O +JTE/*(

1G'J'O1HE H( O1) Te/H+H1) TE/ H(*(/+E/E H(O 01OE/; 

<EH(OE H( /(01O'1G+,- 

#GF %E- TE)*(/+E/+H1H 1 )' /(GE-EG+J+(-*E GEJE 1G*+0EN '- (O(J(-*E H( T/ET+(H1H()N TO1-*1

 F (f'+TE G'FE 01OE/ /1iE-1XO( T'(H1 J(H+/)( GE- I+1X+O+H1HN )( GE-*1X+O+i1/h TE/ )' 01OE/

/(01O'1HEN f'( () )' 01OE/ /1iE-1XO(N (- (O JEJ(-*E H( O1 /(01O'1G+,-N J(-E) O1

H(T/(G+1G+,- 1G'J'O1H1 F (O +JTE/*( 1G'J'O1HE H( O1) Te/H+H1) TE/ H(*(/+E/E H( 01OE/f'( U1F1 )'I/+HE; 81) /(01O'1G+E-() )( U1/h- GE- )'I+G+(-*( /(S'O1/+H1HN T1/1 1)(S'/1/

f'( (O +JTE/*( (- O+X/E)N (- *EHE JEJ(-*EN -E H+I+(/1 )+S-+I+G1*+01J(-*( H(O f'( TEH/g1

H(*(/J+-1/)( '*+O+i1-HE (O 01OE/ /1iE-1XO( 1O I+-1O H(O T(/+EHE )EX/( (O f'( )( +-IE/J1; 

#!F N>52-02/+4/9 /0 B-0>5 5-O>+-C0/ ./ 0>3 4/55/+>3 ; /.,<,*,>3 3/ ./4/52,+-5? - 8-54,5 ./ 0- /B,./+*,-

C-3-.- /+ /0 2/5*-.> 2/.,-+4/ :+- 4-3-*,6+9 5/-0,O-.- @-C,4:-02/+4/ 8>5 4-3-.>5/3 *:-0,<,*-.>3

Page 236: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 236/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !#&

85></3,>+-02/+4/F 70 B-0>5 5-O>+-C0/ ./ 0>3 /0/2/+4>3 ./ 80-+4- ; /A:,8> 3/5? @-C,4:-02/+4/ 3:

 B-0>5 ./ 2/5*-.>9 ./4/52,+-.> 2/.,-+4/ :+- 4-3-*,6+F

##F K:-+.> +> /U,34- /B,./+*,- ./ :+ B-0>5 ./ 2/5*-.>9 *>2> *>+3/*:/+*,- ./ 0- +-4:5-0/O-

/38/*Q<,*- ./0 /0/2/+4> ./ 85>8,/.-./39 80-+4- ; /A:,8> ; 8>5A:/ /0 /0/2/+4> 5-5- B/O /3 B/+.,.>E

3-0B> *>2> 8-54/ ./ :+- :+,.-. ./ +/=>*,> /+ <:+*,>+-2,/+4>E9 0- /+4,.-. 8>.5Q- 4/+/5 A:/

/34,2-5 /0 B-0>5 5-O>+-C0/ - 45-B)3 ./ 2)4>.>3 A:/ 4/+=-+ /+ *:/+4- 0>3 ,+=5/3>3 ./0 2,32> > 3:

*>34> ./ 5/8>3,*,6+ :+- B/O 85-*4,*-.- 0- ./85/*,-*,6+ *>55/38>+.,/+4/F

#$F R- <5/*:/+*,- ./ 0-3 5/B-0:-*,>+/3 ./8/+./5? ./ 0>3 *-2C,>3 A:/ /U8/5,2/+4/+ 0>3 B-0>5/3

5-O>+-C0/3 ./ 0>3 /0/2/+4>3 ./ 85>8,/.-./39 80-+4- ; /A:,8> A:/ 3/ /34)+ 5/B-0:-+.>F K:-+.> /0

 B-0>5 5-O>+-C0/ ./0 -*4,B> 5/B-0:-.> .,<,/5- 3,=+,<,*-4,B-2/+4/ ./ 3: ,28>54/ /+ 0,C5>39 3/5?

+/*/3-5,- :+- +:/B- 5/B-0:-*,6+F 10=:+>3 /0/2/+4>3 ./ 85>8,/.-./39 80-+4- ; /A:,8>

/U8/5,2/+4-+ *-2C,>3 3,=+,<,*-4,B>3 ; B>0?4,0/3 /+ 3: B-0>5 5-O>+-C0/9 8>5 0> A:/ +/*/3,4-5?+

5/B-0:-*,>+/3 -+:-0/3F (-0/3 5/B-0:-*,>+/3 <5/*:/+4/3 3/5?+ ,++/*/3-5,-3 8-5- /0/2/+4>3 ./

85>8,/.-./39 80-+4- ; /A:,8> *>+ B-5,-*,>+/3 ,+3,=+,<,*-+4/3 /+ 3: B-0>5 5-O>+-C0/F M-5- )34>39

8:/./+ 3/5 3:<,*,/+4/3 5/B-0:-*,>+/3 @/*@-3 *-.- 45/3 > *,+*> -V>3F

#%F K:-+.> 3/ 5/B-0b/ :+ /0/2/+4> ./ 85>8,/.-./39 80-+4- ; /A:,8>9 0- ./85/*,-*,6+ -*:2:0-.- /+ 0-

</*@- ./ 0- 5/B-0:-*,6+ 8:/./ 3/5 45-4-.- ./ *:-0A:,/5- ./ 0-3 3,=:,/+4/3 2-+/5-3a

]-[  d//U85/3-.- 85>8>5*,>+-02/+4/ -0 *-2C,> /+ /0 ,28>54/ /+ 0,C5>3 C5:4> ./0 -*4,B>9 ./

2-+/5- A:/ /0 ,28>54/ /+ 0,C5>3 ./0 2,32> ./38:)3 ./ 0- 5/B-0:-*,6+ 3/- ,=:-0 - 3: ,28>54/

5/B-0:-.>F 734/ 2)4>.> 3/ :4,0,O- - 2/+:.> *:-+.> 3/ 5/B-0b- /0 -*4,B> 8>5 2/.,> ./ 0--80,*-*,6+ ./ :+ Q+.,*/ 8-5- ./4/52,+-5 3: *>34> ./ 5/8>3,*,6+ ./85/*,-.>F

]C[ 70,2,+-.- *>+45- /0 ,28>54/ /+ 0,C5>3 C5:4> ./0 -*4,B>9 ./ 2-+/5- A:/ 0> A:/ 3/ 5//U85/3- /3

/0 ,28>54/ +/4> 5/3:04-+4/9 @-34- -0*-+O-5 /0 ,28>54/ 5/B-0:-.> ./0 -*4,B>F 734/ 2)4>.> 3/

:4,0,O- @-C,4:-02/+4/ /+ /.,<,*,>3F

R- *:-+4Q- ./0 -D:34/ /+ 0- ./85/*,-*,6+ -*:2:0-.-9 A:/ 3:5=/ ./ 0- 5//U85/3,6+ > /0,2,+-*,6+

-+4/5,>59 <>52- 8-54/ ./0 ,+*5/2/+4> > .,32,+:*,6+ ./0 ,28>54/ /+ 0,C5>3 ./0 -*4,B>9 A:/ 3/ *>+4-C,0,O-5?

./ -*:/5.> *>+ 0> /34-C0/*,.> /+ 0>3 8?55-<>3 #H ; $PF

#&F :+ )( /(01Os1 '- (O(J(-*E H( T/ET+(H1H()N TO1-*1 F (f'+TEN )( /(01O'1/h- *1JX+e- *EHE)

OE) (O(J(-*E) f'( T(/*(-(iG1- 1 O1 J+)J1 GO1)( H( 1G*+0E)F

#IF \+- *0-3/ ./ /0/2/+4>3 8/54/+/*,/+4/3 - 85>8,/.-./39 80-+4- ; /A:,8> /3 :+ *>+D:+4> ./ -*4,B>3

./ 3,2,0-5 +-4:5-0/O- ; :3> /+ 0-3 >8/5-*,>+/3 ./ :+- /+4,.-.F R>3 3,=:,/+4/3 3>+ /D/280>3 ./

Page 237: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 237/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !#I

*0-3/3 3/8-5-.-3a

]-[  4/55/+>3X

]C[  4/55/+>3 ; /.,<,*,>3X

]*[  2-A:,+-5,-X

].[  C:A:/3X

]/[  -/5>+-B/3X

]<[  B/@Q*:0>3 ./ 2>4>5X

]=[  2>C,0,-5,> ; /+3/5/3X ;

]@[  /A:,8> ./ ><,*,+-F

#cF R>3 /0/2/+4>3 8/54/+/*,/+4/3 - :+- *0-3/9 ./ 0-3 A:/ *>28>+/+ 0-3 85>8,/.-./39 80-+4- ; /A:,8>9

3/ 5/B-0:-5?+ 3,2:04?+/-2/+4/ *>+ /0 <,+ ./ /B,4-5 5/B-0:-*,>+/3 3/0/*4,B-39 ; 8-5- /B,4-5 0-

,+*0:3,6+ /+ 0>3 /34-.>3 <,+-+*,/5>3 ./ 8-54,.-3 A:/ 3/5Q-+ :+- 2/O*0- ./ *>34>3 ; B-0>5/3 5/</5,.>3

- .,</5/+4/3 </*@-3F N> >C34-+4/9 *-.- *0-3/ ./ -*4,B>3 8:/./ 3/5 5/B-0:-.- ./ <>52- 8/5,6.,*-9

3,/285/ A:/ 0- 5/B-0:-*,6+ ./ /3- *0-3/ 3/ 5/-0,*/ /+ :+ ,+4/5B-0> *>54> ./ 4,/28> ; A:/ 0>3 B-0>5/3

3/ 2-+4/+=-+ *>+34-+4/2/+4/ -*4:-0,O-.>3F

#HF :+ )( +-G/(J(-*1 (O +JTE/*( (- O+X/E) H( '- 1G*+0E GEJE GE-)(G'(-G+1 H( '-1 /(01O'1G+,-N

()*( 1'J(-*E )( /(GE-EG(/h H+/(G*1J(-*( (- E*/E /()'O*1HE +-*(S/1O F )( 1G'J'O1/h (- (O

 T1*/+JE-+EN X1PE (O (-G1X(i1J+(-*E H( )'T(/h0+* H( /(01O'1G+,-; :+- (JX1/SEN (O

+-G/(J(-*E )( /(GE-EG(/h (- (O /()'O*1HE H(O T(/+EHE (- O1 J(H+H1 (- f'( )(1 '-1

/(0(/)+,- H( '- H(G/(J(-*E TE/ '-1 /(01O'1G+,- H(O J+)JE 1G*+0E /(GE-EG+HE1-*(/+E/J(-*( (- (O /()'O*1HE H(O T(/+EHEF

$PF %'1-HE )( /(H'iG1 (O +JTE/*( (- O+X/E) H( '- 1G*+0E GEJE GE-)(G'(-G+1 H( '-1

/(01O'1G+,-N *1O H+)J+-'G+,- )( /(GE-EG(/h (- (O /()'O*1HE H(O T(/+EHE; :+- (JX1/SEN O1

H+)J+-'G+,- )( /(GE-EG(/h (- E*/E /()'O*1HE +-*(S/1O (- O1 J(H+H1 (- f'( (j+)*+(/1 )1OHE

1G/((HE/ (- (O )'T(/h0+* H( /(01O'1G+,- (- /(O1G+,- GE- ()( 1G*+0E; 81 H+)J+-'G+,-

/(GE-EG+H1 (- E*/E /()'O*1HE +-*(S/1O /(H'G( (O +JTE/*( 1G'J'O1HE (- (O T1*/+JE-+E

GE-*/1 O1 G'(-*1 H( )'T(/h0+* H( /(01O'1G+,-; 

$GF 70 3:8/5?B,4 ./ 5/B-0:-*,6+ ./ :+ /0/2/+4> ./ 85>8,/.-./39 80-+4- ; /A:,8> ,+*0:,.> /+ /0

8-45,2>+,> 8>.5? 3/5 45-+3</5,.> .,5/*4-2/+4/ - =-+-+*,-3 -*:2:0-.-39 *:-+.> 3/ 85>.:O*- 0-

C-D- /+ *:/+4-3 ./0 -*4,B>F 734> 8>.5Q- ,280,*-5 0- 45-+3</5/+*,- 4>4-0 ./0 3:8/5?B,4 *:-+.> 0-

/+4,.-. .,38>+=- ./0 -*4,B>F N> >C34-+4/9 8-54/ ./0 3:8/5?B,4 8>.5Q- 45-+3</5,53/ - 2/.,.- A:/ /0

-*4,B> <:/5- :4,0,O-.> 8>5 0- /+4,.-.F 7+ /3/ *-3>9 /0 ,28>54/ ./0 3:8/5?B,4 45-+3</5,.> 3/5Q- ,=:-0 -

Page 238: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 238/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !#c

0- .,</5/+*,- /+45/ 0- ./85/*,-*,6+ *-0*:0-.- 3/=b+ /0 B-0>5 5/B-0:-.> ./0 -*4,B> ; 0- *-0*:0-.- 3/=b+

3: *>34> >5,=,+-0F R-3 45-+3</5/+*,-3 ./3./ 0-3 *:/+4-3 ./ 3:8/5?B,4 ./ 5/B-0:-*,6+ - =-+-+*,-3

-*:2:0-.-3 +> 8-3-5?+ 8>5 /0 5/3:04-.> ./0 8/5,>.>F

$!F R>3 /</*4>3 ./ 0- 5/B-0:-*,6+ ./ 85>8,/.-./39 80-+4- ; /A:,8>9 3>C5/ 0>3 ,28:/34>3 3>C5/ 0-3

=-+-+*,-39 3, 0>3 @:C,/5/9 3/ *>+4-C,0,O-5?+ ; 5/B/0-5?+ ./ -*:/5.> *>+ 0- NZK G! Z28:/34> - 0-3

L-+-+*,-3F

$(T/(G+1G+,- 

$#F :( H(T/(G+1/h H( IE/J1 )(T1/1H1 G1H1 T1/*( H( '- (O(J(-*E H( T/ET+(H1H()N TO1-*1 F

(f'+TE f'( *(-S1 '- GE)*E )+S-+I+G1*+0E GE- /(O1G+,- 1O GE)*E *E*1O H(O (O(J(-*E; 

$$F \+- /+4,.-. .,345,C:,5? /0 ,28>54/ ,+,*,-02/+4/ 5/*>+>*,.> *>+ 5/38/*4> - :+- 8-54,.- ./

85>8,/.-./39 80-+4- ; /A:,8> /+45/ 3:3 8-54/3 3,=+,<,*-4,B-3 ; ./85/*,-5? ./ <>52- 3/8-5-.- *-.-

:+- ./ /34-3 8-54/3F M>5 /D/280>9 8>.5Q- 3/5 -./*:-.> ./85/*,-5 8>5 3/8-5-.> 0- /345:*4:5- ; 0>3

2>4>5/3 ./ :+ -B,6+9 4-+4> 3, 3/ 4,/+/ /+ 85>8,/.-. *>2> 3, 3/ 4,/+/ /+ -55/+.-2,/+4> <,+-+*,/5>F

`/ <>52- -+?0>=-9 3, :+- /+4,.-. -.A:,/5/ 85>8,/.-./39 80-+4- ; /A:,8> 3:D/4> - :+ -55/+.-2,/+4>

>8/5-4,B> /+ /0 A:/ /3 /0 -55/+.-.>59 8:/./ 3/5 -./*:-.> ./85/*,-5 8>5 3/8-5-.> 0>3 ,28>54/3

5/<0/D-.>3 /+ /0 *>34> ./ /3- 8-54,.- A:/ 3/-+ -45,C:,C0/3 - 0-3 *>+.,*,>+/3 <-B>5-C0/3 >

./3<-B>5-C0/3 ./0 -55/+.-2,/+4> *>+ 5/38/*4> - 0-3 *>+.,*,>+/3 ./ 2/5*-.>F

$%F \+- 8-54/ 3,=+,<,*-4,B- ./ :+ /0/2/+4> ./ 85>8,/.-./39 80-+4- ; /A:,8> 8:/./ 4/+/5 :+- B,.- b4,0 ;

:+ 2)4>.> ./ ./85/*,-*,6+ A:/ *>,+*,.-+ *>+ 0- B,.- ; /0 2)4>.> :4,0,O-.>3 8-5- >45- 8-54/3,=+,<,*-4,B- ./0 2,32> /0/2/+4>F 7+ 4-0 *-3>9 -2C-3 8-54/3 8>.5Q-+ -=5:8-53/ 8-5- ./4/52,+-5 /0

*-5=> 8>5 ./85/*,-*,6+F

$&F 7+ 0- 2/.,.- A:/ 0- /+4,.-. ./85/*,/ ./ <>52- 3/8-5-.- -0=:+-3 8-54/3 ./ :+ /0/2/+4> ./

85>8,/.-./39 80-+4- ; /A:,8>9 4-2C,)+ ./85/*,-5? ./ <>52- 3/8-5-.- /0 5/34> ./0 /0/2/+4>F 70 5/34>

/34-5? ,+4/=5-.> 8>5 0-3 8-54/3 ./0 /0/2/+4> A:/ ,+.,B,.:-02/+4/ +> 3/-+ 3,=+,<,*-4,B-3F W, 0-

/+4,.-. 4,/+/ .,B/53-3 /U8/*4-4,B-3 8-5- *-.- :+- ./ /3-3 8-54/39 8>.5Q- 3/5 +/*/3-5,> /280/-5

4)*+,*-3 ./ -85>U,2-*,6+ 8-5- ./85/*,-5 /0 5/34>9 ./ <>52- A:/ 5/85/3/+4/ <,/02/+4/ /0 8-456+ ./

*>+3:2> > 0- B,.- b4,0 ./ 3:3 *>28>+/+4/39 > -2C>3F

$IF R- /+4,.-. 8>.5? /0/=,5 8>5 ./85/*,-5 ./ <>52- 3/8-5-.- 0-3 8-54/3 A:/ *>28>+=-+ :+ /0/2/+4> ;

+> 4/+=-+ :+ *>34> 3,=+,<,*-4,B> *>+ 5/0-*,6+ -0 *>34> 4>4-0 ./0 2,32>F

$cF &O G1/SE TE/ H(T/(G+1G+,- H( G1H1 T(/+EHE )( /(GE-EG(/h (- (O /()'O*1HE H(O T(/+EHEN )1O0E

f'( )( U1F1 +-GO'+HE (- (O +JTE/*( (- O+X/E) H( E*/E 1G*+0E; 

Page 239: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 239/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !#H

$HF 70 *-5=> 8>5 ./85/*,-*,6+ ./ :+ 8/5,>.> 3/ 5/*>+>*/5? @-C,4:-02/+4/ /+ /0 5/3:04-.> ./0 2,32>F

W,+ /2C-5=>9 /+ >*-3,>+/3 0>3 C/+/<,*,>3 /*>+62,*>3 <:4:5>3 ,+*>58>5-.>3 - :+ -*4,B> 3/

,+*>58>5-+ - 0- 85>.:**,6+ ./ >45>3 -*4,B>3F 7+ /34/ *-3>9 /0 *-5=> 8>5 ./85/*,-*,6+ <>52-5? 8-54/

./0 *>34> ./0 >45> -*4,B> ; 3/ ,+*0:,5? /+ 3: ,28>54/ /+ 0,C5>3F M>5 /D/280>9 0- ./85/*,-*,6+ ./ :+-

,+34-0-*,6+ ; /A:,8> ./ 2-+:<-*4:5- 3/ ,+*0:,5? /+ 0>3 *>34>3 ./ 45-+3<>52-*,6+ ./ 0>3 ,+B/+4-5,>3

]B)-3/ 0- NZK ![F `/ <>52- 3,2,0-59 0- ./85/*,-*,6+ ./ 0-3 85>8,/.-./39 80-+4- ; /A:,8> :4,0,O-.-

8-5- -*4,B,.-./3 ./ ./3-55>00> 8>.5? ,+*0:,53/ /+ /0 *>34> ./ :+ -*4,B> ,+4-+=,C0/ 5/*>+>*,.> ./

-*:/5.> *>+ 0- NZK #c 1*4,B>3 Z+4-+=,C0/3F

"JTE/*( H(T/(G+1XO( F T(/+EHE H( H(T/(G+1G+,- 

%PF &O +JTE/*( H(T/(G+1XO( H( '- 1G*+0E )( H+)*/+X'+/h H( IE/J1 )+)*(Jh*+G1 1 OE O1/SE H( )'

 0+H1 s*+O; 

%GF &O 01OE/ /()+H'1O F O1 0+H1 s*+O H( '- 1G*+0E )( /(0+)1/h-N GEJE Jg-+JEN 1O *e/J+-E H( G1H1

 T(/+EHE 1-'1O FN )+ O1) (jT(G*1*+01) H+I+/+(/(- H( O1) ()*+J1G+E-() T/(0+1)N OE) G1JX+E) )(

GE-*1X+O+i1/h- GEJE '- G1JX+E (- '-1 ()*+J1G+,- GE-*1XO(N H( 1G'(/HE GE- O1 #"% [

.EOg*+G1) %E-*1XO()N %1JX+E) (- O1) &)*+J1G+E-() %E-*1XO() F &//E/();

%!F R- ./85/*,-*,6+ 3/ *>+4-C,0,O-5? ,+*0:3> 3, /0 B-0>5 5-O>+-C0/ ./0 -*4,B> /U*/./ - 3: ,28>54/ /+

0,C5>39 3,/285/ ; *:-+.> /0 B-0>5 5/3,.:-0 ./0 -*4,B> +> 3:8/5/ -0 ,28>54/ /+ 0,C5>3 ./0 2,32>F R-3

>8/5-*,>+/3 ./ 5/8-5-*,6+ ; 2-+4/+,2,/+4> ./ :+ -*4,B> +> /B,4-+ 5/-0,O-5 0- ./85/*,-*,6+F

%#F 70 ,28>54/ ./85/*,-C0/ ./ :+ -*4,B> 3/ ./4/52,+- ./38:)3 ./ ./.:*,5 3: B-0>5 5/3,.:-0F 7+ 0-85?*4,*-9 /0 B-0>5 5/3,.:-0 ./ :+ -*4,B> - 2/+:.> /3 ,+3,=+,<,*-+4/9 ; 8>5 4-+4> ,55/0/B-+4/ /+ /0

*?0*:0> ./0 ,28>54/ ./85/*,-C0/F

%$F 70 B-0>5 5/3,.:-0 ./ :+ -*4,B> 8>.5Q- -:2/+4-5 @-34- ,=:-0-5 > 3:8/5-5 /0 ,28>54/ /+ 0,C5>3 ./0

-*4,B>F W, /34> 3:*/.,/3/9 /0 *-5=> 8>5 ./85/*,-*,6+ ./0 -*4,B> 3/5? +:0>9 - 2/+>3 A:/E; @-34- A:/E

/3/ B-0>5 5/3,.:-0 .,32,+:;- 8>34/5,>52/+4/ ; 3/ @-=- 2/+>5 A:/ /0 ,28>54/ /+ 0,C5>3 ./0 -*4,B>F

%%F R- ./85/*,-*,6+ ./ :+ -*4,B> *>2/+O-5? *:-+.> /34) .,38>+,C0/ 8-5- 3: :3>9 /34> /39 *:-+.> 3/

/+*:/+45/ /+ 0- :C,*-*,6+ ; /+ 0-3 *>+.,*,>+/3 +/*/3-5,-3 8-5- >8/5-5 ./ 0- <>52- 85/B,34- 8>5 0-

=/5/+*,-F R- ./85/*,-*,6+ ./ :+ -*4,B> */3-5? /+ 0- </*@- 2?3 4/285-+- /+45/ -A:)00- /+ A:/ /0

-*4,B> 3/ *0-3,<,A:/ *>2> 2-+4/+,.> 8-5- 0- B/+4- ]> ,+*0:,.> /+ :+ =5:8> ./ -*4,B>3 8-5- 3:

.,38>3,*,6+ A:/ 3/ @-;- *0-3,<,*-.> *>2> 2-+4/+,.> 8-5- 0- B/+4-[ ./ -*:/5.> *>+ 0- NZZ^ %9 ; 0-

</*@- /+ A:/ 3/ 85>.:O*- 0- C-D- /+ *:/+4-3 ./0 2,32>F M>5 4-+4>9 0- ./85/*,-*,6+ +> */3-5?

*:-+.> /0 -*4,B> /34) 3,+ :4,0,O-5 > 3/ @-;- 5/4,5-.> ./0 :3> -*4,B>9 - 2/+>3 A:/ 3/ /+*:/+45/

Page 240: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 240/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !$P

./85/*,-.> 8>5 *>280/4>F W,+ /2C-5=>9 3, 3/ :4,0,O-+ 2)4>.>3 ./ ./85/*,-*,6+ /+ <:+*,6+ ./0 :3>9

/0 *-5=> 8>5 ./85/*,-*,6+ 8>.5Q- 3/5 +:0> *:-+.> +> 4/+=- 0:=-5 +,+=:+- -*4,B,.-. ./ 85>.:**,6+F

%&F R>3 C/+/<,*,>3 /*>+62,*>3 <:4:5>3 ,+*>58>5-.>3 - :+ -*4,B>9 3/ *>+3:2/+9 8>5 8-54/ ./ 0-

/+4,.-.9 85,+*,8-02/+4/ - 45-B)3 ./ 3: :4,0,O-*,6+F N> >C34-+4/9 >45>3 <-*4>5/39 4-0/3 *>2> 0-

>C3>0/3*/+*,- 4)*+,*- > *>2/5*,-0 ; /0 ./4/5,>5> +-4:5-0 85>.:*,.> 8>5 0- <-04- ./ :4,0,O-*,6+ ./0

C,/+9 85>.:*/+ - 2/+:.> :+- .,32,+:*,6+ /+ 0- *:-+4Q- ./ 0>3 C/+/<,*,>3 /*>+62,*>3 A:/ *-C5Q-

/38/5-5 ./ 0- :4,0,O-*,6+ ./0 -*4,B>F K>+3/*:/+4/2/+4/9 8-5- ./4/52,+-5 0- B,.- b4,0 ./0 /0/2/+4> ./

85>8,/.-./39 80-+4- ; /A:,8>9 3/ 4/+.5?+ /+ *:/+4- 4>.>3 0>3 <-*4>5/3 3,=:,/+4/3a

]-[  R- :4,0,O-*,6+ 85/B,34- ./0 -*4,B>F 70 :3> 3/ /B-0b- 8>5 5/</5/+*,- - 0- *-8-*,.-. > -0 85>.:*4>

<Q3,*> A:/ 3/ /38/5/ ./0 2,32>F

]C[ 70 ./3=-34/ <Q3,*> /38/5-.>9 A:/ ./8/+./5? ./ <-*4>5/3 >8/5-4,B>3 4-0/3 *>2> /0 +b2/5> ./

4:5+>3 ./ 45-C-D> /+ 0>3 A:/ 3/ :4,0,O-5? /0 -*4,B>9 /0 85>=5-2- ./ 5/8-5-*,>+/3 ;

2-+4/+,2,/+4>9 ; /0 =5-.> ./ *:,.-.> ; *>+3/5B-*,6+ 2,/+45-3 /0 -*4,B> +> /34? 3,/+.>

:4,0,O-.>F

]*[  R- >C3>0/3*/+*,- 4)*+,*- > *>2/5*,-0 85>*/./+4/ ./ 0>3 *-2C,>3 > 2/D>5-3 /+ 0- 85>.:**,6+9

> ./ 0>3 *-2C,>3 /+ 0- ./2-+.- ./0 2/5*-.> ./ 0>3 85>.:*4>3 > 3/5B,*,>3 A:/ 3/ >C4,/+/+

*>+ /0 -*4,B>F

].[  R>3 0Q2,4/3 0/=-0/3 > 5/345,**,>+/3 3,2,0-5/3 3>C5/ /0 :3> ./0 -*4,B>9 4-0/3 *>2> 0-3 </*@-3 ./

*-.:*,.-. ./ 0>3 *>+45-4>3 ./ -55/+.-2,/+4> 5/0-*,>+-.>3F

%IF R- B,.- b4,0 ./ :+ -*4,B> 3/ ./<,+,5? /+ 4)52,+>3 ./ 0- :4,0,.-. A:/ 3/ /38/5/ A:/ -8>54/ - 0-/+4,.-.F R- 8>0Q4,*- ./ =/34,6+ ./ -*4,B>3 00/B-.- - *-C> 8>5 0- /+4,.-. 8>.5Q- ,280,*-5 0-

.,38>3,*,6+ ./ 0>3 -*4,B>3 ./38:)3 ./ :+ 8/5,>.> /38/*Q<,*> ./ :4,0,O-*,6+9 > 45-3 @-C/5 *>+3:2,.>

:+- *,/54- 85>8>5*,6+ ./ 0>3 C/+/<,*,>3 /*>+62,*>3 ,+*>58>5-.>3 - 0>3 2,32>3F M>5 4-+4>9 0- B,.-

b4,0 ./ :+ -*4,B> 8:/./ 3/5 ,+</5,>5 - 3: B,.- /*>+62,*-F R- /34,2-*,6+ ./ 0- B,.- b4,0 ./ :+ -*4,B>9

/3 :+- *:/34,6+ ./ *5,4/5,>9 C-3-.> /+ 0- /U8/5,/+*,- A:/ 0- /+4,.-. 4/+=- *>+ -*4,B>3 3,2,0-5/3F

%cF R>3 4/55/+>3 ; 0>3 /.,<,*,>3 3>+ -*4,B>3 3/8-5-.>39 ; 3/ *>+4-C,0,O-5?+ 8>5 3/8-5-.>9 ,+*0:3> 3, @-+

3,.> -.A:,5,.>3 ./ <>52- *>+D:+4-F K>+ -0=:+-3 /U*/8*,>+/39 4-0/3 *>2> 2,+-39 *-+4/5-3 ;

 B/54/./5>39 0>3 4/55/+>3 4,/+/+ :+- B,.- ,0,2,4-.- ; 8>5 4-+4> +> 3/ ./85/*,-+F R>3 /.,<,*,>3 4,/+/+

:+- B,.- 0,2,4-.- ;9 8>5 4-+4>9 3>+ -*4,B>3 ./85/*,-C0/3F \+ ,+*5/2/+4> /+ /0 B-0>5 ./ 0>3 4/55/+>3

/+ 0>3 A:/ 3/ -3,/+4- :+ /.,<,*,> +> -</*4-5? - 0- ./4/52,+-*,6+ ./0 ,28>54/ ./85/*,-C0/ ./0

/.,<,*,>F

%HF W, /0 *>34> ./ :+ 4/55/+> ,+*0:;/ 0>3 *>34>3 ./ ./32-+4/0-2,/+4>9 45-30-.> ; 5/@-C,0,4-*,6+9 0-

Page 241: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 241/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !$G

8>5*,6+ A:/ *>55/38>+.- - 0- 5/@-C,0,4-*,6+ ./0 4/55/+> 3/ ./85/*,-5? - 0> 0-5=> ./0 8/5,>.> /+ /0

A:/ 3/ >C4/+=-+ 0>3 C/+/<,*,>3 8>5 @-C/5 ,+*:55,.> /+ /3>3 *>34>3F 7+ -0=:+>3 *-3>39 /0 4/55/+> /+

3Q 2,32> 8:/./ 4/+/5 :+- B,.- b4,0 0,2,4-.-9 /+ *:;> *-3> 3/ ./85/*,-5? ./ <>52- A:/ 5/<0/D/ 0>3

C/+/<,*,>3 A:/ 3/ B-+ - ./5,B-5 ./0 2,32>F

<e*EHE H( H(T/(G+1G+,- 

&PF &O Je*EHE H( H(T/(G+1G+,- '*+O+i1HE /(IO(P1/h (O T1*/,- GE- 1//(SOE 1O G'1O )( ()T(/1 f'(

)(1- GE-)'J+HE)N TE/ T1/*( H( O1 (-*+H1HN OE) X(-(I+G+E) (GE-,J+GE) I'*'/E) H(O 1G*+0E; 

&GF &O Je*EHE H( H(T/(G+1G+,- 1TO+G1HE 1 '- 1G*+0E )( /(0+)1/hN GEJE Jg-+JEN 1O *e/J+-E H(

G1H1 T(/+EHE 1-'1O FN )+ U'X+(/1 U1X+HE '- G1JX+E )+S-+I+G1*+0E (- (O T1*/,- ()T(/1HE H(

GE-)'JE H( OE) X(-(I+G+E) (GE-,J+GE) I'*'/E) +-GE/TE/1HE) 1O 1G*+0EN )( G1JX+1/h T1/1

/(IO(P1/ (O -'(0E T1*/,-; $+GUE G1JX+E )( GE-*1X+O+i1/h GEJE '- G1JX+E (- '-1

()*+J1G+,- GE-*1XO(N H( 1G'(/HE GE- O1 #"% [; 

&!F M:/./+ :4,0,O-53/ .,B/53>3 2)4>.>3 ./ ./85/*,-*,6+ 8-5- .,345,C:,5 /0 ,28>54/ ./85/*,-C0/ ./ :+

-*4,B> ./ <>52- 3,34/2?4,*- - 0> 0-5=> ./ 3: B,.- b4,0F 7+45/ 0>3 2,32>3 3/ ,+*0:;/+ /0 2)4>.>

0,+/-09 /0 2)4>.> ./ ./85/*,-*,6+ ./*5/*,/+4/ ; /0 2)4>.> ./ 0-3 :+,.-./3 ./ 85>.:**,6+F R-

./85/*,-*,6+ 0,+/-0 .-5? 0:=-5 - :+ *-5=> *>+34-+4/ - 0> 0-5=> ./ 0- B,.- b4,0 ./0 -*4,B>9 3,/285/ A:/

3: B-0>5 5/3,.:-0 +> *-2C,/F 70 2)4>.> ./ ./85/*,-*,6+ ./*5/*,/+4/ /+ <:+*,6+ ./0 3-0.> ./0

/0/2/+4> .-5? 0:=-5 - :+ *-5=> A:/ ,5? .,32,+:;/+.> - 0> 0-5=> ./ 3: B,.- b4,0F 70 2)4>.> ./ 0-3

:+,.-./3 ./ 85>.:**,6+ .-5? 0:=-5 - :+ *-5=> C-3-.> /+ 0- :4,0,O-*,6+ > 85>.:**,6+ /38/5-.-F R-/+4,.-. /0/=,5? /0 2)4>.> A:/ 2?3 <,/02/+4/ 5/<0/D/ /0 8-456+ /38/5-.> ./ *>+3:2> ./ 0>3

C/+/<,*,>3 /*>+62,*>3 <:4:5>3 ,+*>58>5-.>3 -0 -*4,B>F `,*@> 2)4>.> 3/ -80,*-5? :+,<>52/2/+4/

/+ 4>.>3 0>3 8/5,>.>39 - 2/+>3 A:/ 3/ @-;- 85>.:*,.> :+ *-2C,> /+ /0 8-456+ /38/5-.> ./

*>+3:2> ./ .,*@>3 C/+/<,*,>3 /*>+62,*>3 <:4:5>3F

$(*(/+E/E H(O 01OE/ 

&#F M-5- ./4/52,+-5 3, :+ /0/2/+4> ./ 85>8,/.-./39 80-+4- ; /A:,8> @- B,34> ./4/5,>5-.> 3: B-0>59 0-

/+4,.-. -80,*-5? 0- NZK #& `/4/5,>5> ./0 f-0>5 ./ 0>3 1*4,B>3F 7+ .,*@- N>52- 3/ /U80,*- *62>./C/ 85>*/./5 0- /+4,.-. 8-5- 0- 5/B,3,6+ ./0 ,28>54/ /+ 0,C5>3 ./ 3:3 -*4,B>39 *62> @- ./

./4/52,+-5 /0 ,28>54/ 5/*:8/5-C0/ ./ :+ -*4,B> ; *:?+.> ./C/ 85>*/./5 - 5/*>+>*/59 > /+ 3: *-3>9

5/B/54,59 0-3 8)5.,.-3 8>5 ./4/5,>5> ./0 B-0>5F

&$F x70,2,+-.>y

Page 242: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 242/312

Page 243: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 243/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !$#

/0/2/+4>3 ./ 85>8,/.-./39 80-+4- ; /A:,8> A:/ 3/ 2-+4/+Q-+ 8-5- -55/+.-5 - 4/5*/5>39 45-+3</5,5?

/3>3 -*4,B>3 - 0>3 ,+B/+4-5,>3 8>5 3: ,28>54/ /+ 0,C5>3 *:-+.> ./D/+ ./ 3/5 -55/+.-.>3 ; 3/

*0-3,<,A:/+ *>2> 2-+4/+,.>3 8-5- 0- B/+4-F 70 ,28>54/ >C4/+,.> 8>5 0- B/+4- ./ /3>3 -*4,B>3 3/

5/*>+>*/5? *>2> ,+=5/3> ./ -*4,B,.-./3 >5.,+-5,-3 ./ -*:/5.> *>+ 0- NZK Gc Z+=5/3>3 ./

 1*4,B,.-./3 e5.,+-5,-3F R- NZZ^ % +> 3/5? ./ -80,*-*,6+ *:-+.> 0>3 -*4,B>3 A:/ 3/ 2-+4,/+/+ 8-5-

0- B/+4- /+ /0 *:53> >5.,+-5,> ./ 0- -*4,B,.-. 3/ 45-+3<,/5-+ - ,+B/+4-5,>3F

&c1F R- .,38>3,*,6+ ./ :+ /0/2/+4> ./ 85>8,/.-./39 80-+4- ; /A:,8> 8:/./ 00/B-53/ - *-C> ./

.,B/53-3 2-+/5-3 ]8>5 /D/280> 2/.,-+4/ 0- B/+4-9 5/-0,O-+.> 3>C5/ 0- 2,32- :+ *>+45-4> ./

-55/+.-2,/+4> <,+-+*,/5> > 8>5 .>+-*,6+[F M-5- ./4/52,+-5 0- </*@- /+ A:/ 3/ @- .,38:/34> ./ :+-

8-54,.-9 :+- /+4,.-. -80,*-5? 0>3 *5,4/5,>3 /34-C0/*,.>3 /+ 0- NZK Gc 8-5- /0 5/*>+>*,2,/+4> ./

,+=5/3>3 ./ -*4,B,.-./3 >5.,+-5,-3 8>5 B/+4-3 ./ C,/+/3F R- NZK GI 3/ -80,*-5? - 0-3 .,38>3,*,>+/3

8>5 :+- B/+4- *>+ -55/+.-2,/+4> 8>34/5,>5F

IPF W,9 ./ -*:/5.> *>+ /0 85,+*,8,> ./ 5/*>+>*,2,/+4> ./0 8?55-<> I9 0- /+4,.-. 5/*>+>*,/5- ./+45> ./0

,28>54/ /+ 0,C5>3 ./ :+ /0/2/+4> ./ 85>8,/.-./39 80-+4- ; /A:,8> /0 *>34> ./5,B-.> ./ 0-

3:34,4:*,6+ ./ :+- 8-54/ ./0 /0/2/+4>9 /+4>+*/3 .-5? ./ C-D- /0 ,28>54/ /+ 0,C5>3 ./ 0- 8-54/

3:34,4:,.-9 *>+ ,+./8/+./+*,- ./ 3, /34- 8-54/ 3/ @:C,/5- -2>54,O-.> ./ <>52- 3/8-5-.-F W, +>

<:/5- 85-*4,*-C0/ 8-5- 0- /+4,.-. ./4/52,+-5 /0 ,28>54/ /+ 0,C5>3 ./0 /0/2/+4> 3:34,4:,.>9 8>.5?

:4,0,O-5 /0 *>34> ./ 0- 3:34,4:*,6+ *>2> ,+.,*-4,B> ./ *:?0 /5- /0 *>34> ./0 /0/2/+4> 3:34,4:,.> /+ /0

2>2/+4> /+ /0 A:/ <:/ -.A:,5,.> > *>+345:,.>FIGF 81 Te/H+H1 E S1-1-G+1 H(/+01H1 H( O1 X1P1 (- G'(-*1) H( '- (O(J(-*E H( T/ET+(H1H()N

 TO1-*1 F (f'+TEN )( H(*(/J+-1/h GEJE O1 H+I(/(-G+1 (-*/( (O +JTE/*( -(*E f'(N (- )' G1)EN

)( EX*(-S1 TE/ O1 H+)TE)+G+,- F (O +JTE/*( (- O+X/E) H(O (O(J(-*E; 

I!F R- *>+45-8-54,.- - *>C5-5 8>5 0- .,38>3,*,6+ ./ :+ /0/2/+4> ./ 85>8,/.-./39 80-+4- ; /A:,8>9 3/

5/*>+>*/5? ,+,*,-02/+4/ 8>5 3: B-0>5 5-O>+-C0/F W, 3/ -80-O-3/ /0 8-=> - 5/*,C,5 8>5 /0 /0/2/+4>9 0-

*>+45-8-54,.- 5/*,C,.- 3/ 5/*>+>*/5? ,+,*,-02/+4/ -0 85/*,> /A:,B-0/+4/ ./ *>+4-.>F R- .,</5/+*,-

/+45/ /0 ,28>54/ +>2,+-0 ./ 0- *>+45-8-54,.- ; /0 85/*,> /A:,B-0/+4/ ./ *>+4-.> 3/ 5/*>+>*/5?

*>2> :+ ,+=5/3> 8>5 ,+4/5/3/39 ./ -*:/5.> *>+ 0- NZK Gc9 ./ <>52- A:/ 5/<0/D/ /0 5/+.,2,/+4>

/</*4,B> ./5,B-.> ./ 0- *:/+4- 8>5 *>C5-5F

"-IE/J1G+,- 1 /(0(O1/ 

I#F &- OE) ()*1HE) I+-1-G+(/E) )( /(0(O1/hN GE- /()T(G*E 1 G1H1 '-1 H( O1) GO1)() H(

 T/ET+(H1H()N TO1-*1 F (f'+TEN O1 )+S'+(-*( +-IE/J1G+,-2 

Page 244: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 244/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !$$

]-[  O1) X1)() H( J(H+G+,- '*+O+i1H1) T1/1 H(*(/J+-1/ (O +JTE/*( (- O+X/E) X/'*Ez 

]C[  OE) Je*EHE) H( H(T/(G+1G+,- '*+O+i1HE)z 

]*[  O1) 0+H1) s*+O() E O1) *1)1) H( H(T/(G+1G+,- '*+O+i1H1)z 

].[  (O +JTE/*( (- O+X/E) X/'*E F O1 H(T/(G+1G+,- 1G'J'O1H1 bP'-*E GE- (O +JTE/*(

1G'J'O1HE H( O1) Te/H+H1) TE/ H(*(/+E/E H( 01OE/RN *1-*E 1O T/+-G+T+E GEJE 1O I+-1O H(

G1H1 T(/+EHEz F 

]/[  '-1 GE-G+O+1G+,- (-*/( OE) 01OE/() (- O+X/E) 1O T/+-G+T+E F 1O I+-1O H(O T(/+EHEN

JE)*/1-HE2 

,F  O1) 1H+G+E-()z 

,,F  OE) 1G*+0E) GO1)+I+G1HE) GEJE J1-*(-+HE) T1/1 O1 0(-*1 E +-GO'+HE) (- '-

S/'TE H( 1G*+0E) T1/1 )' H+)TE)+G+,- f'( U1F1 )+HE GO1)+I+G1HE GEJE

J1-*(-+HE T1/1 O1 0(-*1N H( 1G'(/HE GE- O1 #""L QN 1)g GEJE E*/1)

H+)TE)+G+E-()z 

,,,F  O1) 1Hf'+)+G+E-() /(1O+i1H1) J(H+1-*( GEJX+-1G+E-() H( -(SEG+E)z 

,BF  OE) +-G/(J(-*E) E H+)J+-'G+E-()N /()'O*1-*() H( O1) /(01O'1G+E-()N H(

1G'(/HE GE- OE) Th//1IE) D3N D^ F K`N 1)g GEJE O1) Te/H+H1) TE/ H(*(/+E/E H(O

 01OE/ /(GE-EG+H1)N E /(0(/*+H1) (- E*/E /()'O*1HE +-*(S/1ON (- I'-G+,- H( OE

()*1XO(G+HE (- O1 #"% DVz 

 BF  O1) Te/H+H1) TE/ H(*(/+E/E H(O 01OE/ /(GE-EG+H1) (- (O /()'O*1HE H(O T(/+EHEN

1TO+G1-HE O1 #"% DVz  B,F  O1) Te/H+H1) TE/ H(*(/+E/E H( 01OE/ f'( U1F1- /(0(/*+HEN F U1F1- )+HE

/(GE-EG+H1) (- (O /()'O*1HE H(O T(/+EHEN H( 1G'(/HE GE- O1 #"% DVz 

 B,,F  O1 H(T/(G+1G+,-z 

 B,,,F  O1) H+I(/(-G+1) -(*1) H( G1JX+E )'/S+H1) (- O1 GE-0(/)+,- H( ()*1HE)

I+-1-G+(/E) H()H( O1 JE-(H1 I'-G+E-1O 1 '-1 JE-(H1 H( T/()(-*1G+,-

H+I(/(-*(N +-GO'F(-HE *1JX+e- O1) H+I(/(-G+1) H( GE-0(/)+,- H( '- ET(/1G+,-

(- (O (j*/1-P(/E 1 O1 JE-(H1 H( T/()(-*1G+,- H( O1 (-*+H1H f'( +-IE/J1z F 

,UF  E*/E) G1JX+E); 

I$F &- OE) ()*1HE) I+-1-G+(/E) )( /(0(O1/h *1JX+e-2 

Page 245: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 245/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !$%

]-[  O1 (j+)*(-G+1 F OE) +JTE/*() GE//()TE-H+(-*() 1 O1) /()*/+GG+E-() H( *+*'O1/+H1HN 1)g

GEJE O1) T/ET+(H1H()N TO1-*1 F (f'+TE f'( ()*h- 1I(G*E) GEJE S1/1-*g1 1O

G'JTO+J+(-*E H( EXO+S1G+E-()z 

]C[ (O +JTE/*( H( OE) H()(JXEO)E) /(GE-EG+HE) (- (O +JTE/*( (- O+X/E)N (- OE) G1)E) H(

(O(J(-*E) H( T/ET+(H1H()N TO1-*1 F (f'+TE (- G'/)E H( GE-)*/'GG+,-z 

]*[  (O +JTE/*( H( OE) GEJT/EJ+)E) H( 1Hf'+)+G+,- H( T/ET+(H1H()N TO1-*1 F (f'+TEz F 

].[  )+ -E )( U1 /(0(O1HE H( IE/J1 )(T1/1H1 (- (O ()*1HE H(O /()'O*1HE +-*(S/1ON (O +JTE/*(

H( GEJT(-)1G+E-() H( *(/G(/E) f'( )( +-GO'F(- (- (O /()'O*1HE H(O T(/+EHE TE/

(O(J(-*E) H( T/ET+(H1H()N TO1-*1 F (f'+TE G'FE 01OE/ )( U'X+(/1 H(*(/+E/1HEN T(/H+HE

E (-*/(S1HE; 

I%F R- 3/0/**,6+ ./ :+ 2)4>.> ./ ./85/*,-*,6+ ; 0- /34,2-*,6+ ./ 0- B,.- b4,0 ./ 0>3 -*4,B>3 3>+

*:/34,>+/3 A:/ 5/A:,/5/+ 0- 5/-0,O-*,6+ ./ D:,*,>3 ./ B-0>5F M>5 4-+4>9 0-3 5/B/0-*,>+/3 3>C5/ 0>3

2)4>.>3 -.>84-.>39 -3Q *>2> 3>C5/ 0-3 B,.-3 b4,0/3 /34,2-.-3 > 3>C5/ 0>3 8>5*/+4-D/3 ./

./85/*,-*,6+9 3:2,+,345-+ - 0>3 :3:-5,>3 ./ 0>3 /34-.>3 <,+-+*,/5>3 ,+<>52-*,6+ A:/ 0/3 8/52,4/

5/B,3-5 0>3 *5,4/5,>3 3/0/**,>+-.>3 8>5 0- =/5/+*,- ./ 0- /+4,.-.9 - 0- B/O A:/ @-*/+ 8>3,C0/ 0-

*>28-5-*,6+ *>+ >45-3 /+4,.-./3F M>5 5-O>+/3 3,2,0-5/39 /3 +/*/3-5,> 5/B/0-5a

]-[  0- ./85/*,-*,6+ ./0 8/5,>.>9 4-+4> 3, 3/ @- 5/*>+>*,.> /+ /0 5/3:04-.> ./ 8/5,>.>9 *>2> 3,

<>52- 8-54/ ./0 *>34> ./ >45>3 -*4,B>3X ;

]C[  0- ./85/*,-*,6+ -*:2:0-.- -0 4)52,+> ./0 8/5,>.>F

I&F `/ -*:/5.> *>+ 0- NZK c9 0- /+4,.-. @- ./ ,+<>52-5 -*/5*- ./ 0- +-4:5-0/O- ; ./0 /</*4> ./0 *-2C,>/+ :+- /34,2-*,6+ *>+4-C0/9 3,/285/ A:/ 4/+=- :+- ,+*,./+*,- 3,=+,<,*-4,B- /+ /0 8/5,>.> -*4:-0 >

A:/ B-;- - 4/+/50- /+ 8/5,>.>3 3,=:,/+4/3F (-0 ,+<>52-*,6+ 8:/./ -8-5/*/59 /+ 0-3 85>8,/.-./39

80-+4- ; /A:,8>9 5/38/*4> - 0>3 *-2C,>3 /+ 0-3 /34,2-*,>+/3 5/</5/+4/3 -a

]-[  B-0>5/3 5/3,.:-0/3X

]C[  *>34>3 /34,2-.>3 ./ ./32-+4/0-2,/+4>9 5/4,5> > 5/@-C,0,4-*,6+ ./ /0/2/+4>3 ./ 85>8,/.-./39

80-+4- ; /A:,8>X

]*[  B,.-3 b4,0/3X ;

].[  2)4>.>3 ./ ./85/*,-*,6+F

IIF %'1-HE OE) (O(J(-*E) H( T/ET+(H1H()N TO1-*1 F (f'+TE )( GE-*1X+O+G(- TE/ )') 01OE/()

/(01O'1HE)N )( /(0(O1/h O1 )+S'+(-*( +-IE/J1G+,-2 

]-[  O1 I(GU1 (I(G*+01 H( O1 /(01O'1G+,-z 

]C[  )+ )( U1- '*+O+i1HE OE) )(/0+G+E) H( '- *1)1HE/ +-H(T(-H+(-*(z 

Page 246: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 246/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !$&

]*[  OE) Je*EHE) F O1) U+T,*()+) )+S-+I+G1*+01) 1TO+G1H1) (- O1 ()*+J1G+,- H(O 01OE/

/1iE-1XO( H( OE) (O(J(-*E)z 

].[  (- f'e J(H+H1 (O 01OE/ /1iE-1XO( H( OE) (O(J(-*E) H( T/ET+(H1H()N TO1-*1 F (f'+TE

I'( H(*(/J+-1HE H+/(G*1J(-*( TE/ /(I(/(-G+1 1 OE) T/(G+E) EX)(/01XO() (- '- J(/G1HE

1G*+0E E 1 /(G+(-*() */1-)1GG+E-() H( J(/G1HE (-*/( )'P(*E) H(X+H1J(-*( +-IE/J1HE)

(- GE-H+G+E-() H( +-H(T(-H(-G+1N E I'( ()*+J1HE '*+O+i1-HE E*/1) *eG-+G1) H(

 01OE/1G+,-z 

]/[  T1/1 G1H1 GO1)( H( T/ET+(H1H()N TO1-*1 F (f'+TE f'( )( U1F1 /(01O'1HEN (O +JTE/*( (-

O+X/E) 1O f'( )( U1X/g1 /(GE-EG+HE )+ )( U'X+(/1- GE-*1X+O+i1HE )(Ss- (O JEH(OE H(O

GE)*Ez F 

]<[  /0 3:8/5?B,4 ./ 5/B-0:-*,6+9 ,+.,*-+.> 0>3 2>B,2,/+4>3 ./0 8/5,>.>9 -3Q *>2> *:-0A:,/5

5/345,**,6+ 3>C5/ 0- .,345,C:*,6+ ./ 3: 3-0.> - 0>3 -**,>+,34-3F

IcF W,=:,/+.> 0- NZK #&9 0- /+4,.-. 5/B/0-5? ,+<>52-*,6+ 3>C5/ 0-3 8-54,.-3 ./ 85>8,/.-./39 80-+4- ;

/A:,8> A:/ @-;-+ 3:<5,.> 8)5.,.-3 8>5 ./4/5,>5> ./0 B-0>59 -./2?3 ./ 0- ,+<>52-*,6+ 5/A:/5,.- /+

0>3 8:+4>3 ],B[ - ]B,[ ./0 -8-54-.> ]/[ ./0 8?55-<> I#F

IHF R>3 :3:-5,>3 ./ 0>3 /34-.>3 <,+-+*,/5>3 4-2C,)+ 8>.5Q-+ /+*>+45-5 5/0/B-+4/ 8-5- *:C5,5 3:3

+/*/3,.-./3 0- 3,=:,/+4/ ,+<>52-*,6+a

]-[  /0 ,28>54/ /+ 0,C5>3 ./ 0>3 /0/2/+4>3 ./ 85>8,/.-./39 80-+4- ; /A:,8>9 A:/ 3/ /+*:/+45-+

4/28>5-02/+4/ <:/5- ./ 3/5B,*,>X

]C[  /0 ,28>54/ /+ 0,C5>3 C5:4> ./ *:-0/3A:,/5- 85>8,/.-./39 80-+4- ; /A:,8> A:/9 /34-+.>4>4-02/+4/ ./85/*,-.>39 3/ /+*:/+45-+ 4>.-BQ- /+ :3>X

]*[  /0 ,28>54/ /+ 0,C5>3 ./ 0-3 85>8,/.-./39 80-+4- ; /A:,8> 5/4,5-.>3 ./ 3: :3> -*4,B> ; +>

*0-3,<,*-.>3 *>2> 2-+4/+,.>3 8-5- 0- B/+4- ./ -*:/5.> *>+ 0- NZZ^ %X ;

].[  *:-+.> 3/ :4,0,O- /0 2>./0> ./0 *>34>9 /0 B-0>5 5-O>+-C0/ ./ 0-3 85>8,/.-./39 80-+4- ; /A:,8>

*:-+.> /3 3,=+,<,*-4,B-2/+4/ .,</5/+4/ ./ 3: ,28>54/ /+ 0,C5>3F M>5 4-+4>9 3/ -*>+3/D- - 0-3

/+4,.-./3 85/3/+4-5 4-2C,)+ /34-3 ,+<>52-*,>+/3F

$+)TE)+G+E-() */1-)+*E/+1) 

cPF 8E) /(f'(/+J+(-*E) /(O1*+0E) 1 O1 J(H+G+,- +-+G+1O H( OE) (O(J(-*E) H( T/ET+(H1H()N TO1-*1

 F (f'+TE 1Hf'+/+HE (- T(/J'*1) H( 1G*+0E)N f'( )( (-G'(-*/1- ()T(G+I+G1HE) (- OE)

 Th//1IE) AK 1 AVN )( 1TO+G1/h- T/E)T(G*+01J(-*( F 1I(G*1/h- ),OE 1 */1-)1GG+E-() I'*'/1); 

L(GU1 H( 0+S(-G+1 

Page 247: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 247/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !$I

cGF \+- /+4,.-. -80,*-5? /34- N>52- 8-5- 0>3 8/5,>.>3 -+:-0/3 A:/ *>2,/+*/+ - 8-54,5 ./0 G ./ /+/5>

./ !PP%F W/ -*>+3/D- 3: -80,*-*,6+ -+4,*,8-.-F W, :+- /+4,.-. -80,*-3/ /34- N>52- /+ :+ 8/5,>.>

A:/ *>2,/+*/ -+4/3 ./0 G ./ /+/5> ./ !PP%9 5/B/0-5? /34/ @/*@>F

cG1F \+- /+4,.-. -80,*-5? 0-3 2>.,<,*-*,>+/3 *>+4/+,.-3 /+ /0 8?55-<> # 8-5- 8/5Q>.>3 -+:-0/3 A:/

*>2,/+*/+ - 8-54,5 ./0 G ./ /+/5> ./ !PP&F W, :+- /+4,.-. -80,*- 0- NZZ^ & 8-5- :+ 8/5,>.> -+4/5,>59

.,*@-3 2>.,<,*-*,>+/3 ./C/+ 3/5 -80,*-.-3 8-5- /3/ 8/5,>.> -+4/5,>5F

cGSF NZK G M5/3/+4-*,6+ ./ 734-.>3 ^,+-+*,/5>3 ]5/B,3-.- /+ !PPI[ 2>.,<,*6 0- 4/52,+>0>=Q- :4,0,O-.-

/+ 0-3 NZZ^F 1./2?39 2>.,<,*6 0>3 8?55-<>3 #H9 $P ; I#]/[],B[F \+- /+4,.-. -80,*-5? /3-3

2>.,<,*-*,>+/3 - 8/5,>.>3 -+:-0/3 A:/ *>2,/+*/+ - 8-54,5 ./0 G ./ /+/5> ./ !PPHF W, :+- /+4,.-.

-80,*- 0- NZK G ]5/B,3-.- /+ !PPI[ - 8/5,>.>3 -+4/5,>5/39 0-3 2>.,<,*-*,>+/3 3/ -80,*-5?+ 4-2C,)+ -

.,*@>3 8/5,>.>3F

cGKF R- NZZ^ # K>2C,+-*,>+/3 ./ N/=>*,>3 ]5/B,3-.- /+ !PPc[ 2>.,<,*6 /0 8?55-<> $$F \+- /+4,.-.

-80,*-5? /3- 2>.,<,*-*,6+ 8-5- 0>3 8/5,>.>3 -+:-0/3 A:/ *>2,/+*/+ - 8-54,5 ./0 G ./ D:0,> ./ !PPHF

K:-+.> :+- /+4,.-. -80,A:/ 0- NZZ^ # ]5/B,3-.- /+ !PPc[ - 8/5,>.>3 -+4/5,>5/39 0- 2>.,<,*-*,6+ 3/

-80,*-5? 4-2C,)+ - /00>3F

cG`F W/ 2>.,<,*-5>+ 0>3 8?55-<>3 & ; &H ; 3/ -V-.,6 /0 8?55-<> &c1 2/.,-+4/ /0 .>*:2/+4> _/D>5-3 -

0-3 NZZ^ /2,4,.> /+ 2-;> ./ !PPcF \+- /+4,.-. -80,*-5? /3-3 2>.,<,*-*,>+/3 - 8/5,>.>3 -+:-0/3 A:/

*>2,/+*/+ - 8-54,5 ./0 G ./ /+/5> ./ !PPHF W/ 8/52,4/ 3: -80,*-*,6+ -+4,*,8-.-F W, :+- /+4,.-. -80,*-3/

0-3 2>.,<,*-*,>+/3 /+ :+ 8/5,>.> -+4/5,>59 5/B/0-5? /34/ @/*@> ; -0 2,32> 4,/28> -80,*-5? 0-3

2>.,<,*-*,>+/3 *>55/38>+.,/+4/3 ./ 0- NZK I 734-.> ./ ^0:D>3 ./ 7</*4,B>F

cG7F 70 8?55-<> % <:/ 2>.,<,*-.> 2/.,-+4/ /0 .>*:2/+4> _/D>5-3 - 0-3 NZZ^ /2,4,.> /+ 2-;> ./

!PPcF \+- /+4,.-. -80,*-5? /3-3 2>.,<,*-*,>+/3 ./ <>52- 85>38/*4,B- /+ 0>3 8/5,>.>3 -+:-0/3 A:/

*>2,/+*/+ - 8-54,5 ./0 G /+/5> ./ !PPHF W/ 8/52,4/ 3: -80,*-*,6+ -+4,*,8-.- 3,/285/ A:/ 4-2C,)+

-80,A:/ -0 2,32> 4,/28> 0-3 2>.,<,*-*,>+/3 ./ 0>3 8?55-<>3 c9 H9 !!9 $c9 %#9 %#19 %#S9 %$9 %I ; c%S ./

0- NZK $PF W, :+- /+4,.-. -80,*-3/ 0- 2>.,<,*-*,6+ /+ :+ 8/5,>.> A:/ *>2,/+*/ *>+ -+4/5,>5,.-.9

5/B/0-5? /3/ @/*@>F

$(/ES1G+,- H( E*/E) ./E-'-G+1J+(-*E) 

c!F 734- N>52- ./5>=- 0- NZK G& M5>8,/.-./39 M0-+4- ; 7A:,8> ]5/B,3-.- /+ GHHc[F

c#F 734- N>52- 3:34,4:;/ - 0-3 3,=:,/+4/3 Z+4/585/4-*,>+/3a

]-[  WZKE& K>34>3 ./ _>.,<,*-*,6+ ./ 0>3 M5>=5-2-3 Z+<>52?4,*>3 7U,34/+4/3X

Page 248: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 248/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !$c

]C[ WZKEG$ M5>8,/.-./39 M0-+4- ; 7A:,8>EZ+./2+,O-*,>+/3 8>5 `/4/5,>5> ./ f-0>5 ./ 0-3

M-54,.-3X ;

]*[  WZKE!# M5>8,/.-./39 M0-+4- ; 7A:,8>EK>34>3 ./ d/B,3,>+/3 > d/8-5-*,>+/3 L/+/5-0/3F

 6Te-H+G( 

<EH+I+G1G+E-() 1 E*/E) T/E-'-G+1J+(-*E) 

R-3 2>.,<,*-*,>+/3 ./ /34/ -8)+.,*/ 3/ -80,*-5?+ /+ 0>3 8/5,>.>3 A:/ *>2,/+*/+ - 8-54,5 ./0 G ./

/+/5> ./ !PP%F W, :+- /+4,.-. -80,*- /34- N>52- - 8/5,>.>3 -+4/5,>5/39 /34-3 2>.,<,*-*,>+/3 3/ -80,*-5?+

4-2C,)+ - /3>3 8/5,>.>3F

R-3 2>.,<,*-*,>+/3 *>+4/+,.-3 /+ /34/ -8)+.,*/ *:-+.> 3/ /2,4,6 0- N>52- /+ !PP#9 3/ @-+

,+*>58>5-.> - 0>3 85>+:+*,-2,/+4>3 8:C0,*-.>3 /+ /34/ B>0:2/+F

]G[ ^/*@- ./ B,=/+*,-a G ./ /+/5> ./ !PPH

]![ ^/*@- ./ B,=/+*,-a G ./ D:0,> ./ !PPH

]#[ ^/*@- ./ B,=/+*,-a G ./ D:0,> ./ !PPH

Page 249: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 249/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !$H

3V;33  6 #&d4 332 #"% DV

#4=<6 "#5&=#6%"4#68 $& %4#567"8"$6$ #E  DV b#"% DVR 

$(*(/+E/E H(O 01OE/ H( OE) 1G*+0E) 

734- N>52- Z+4/5+-*,>+-0 ./ K>+4-C,0,.-. <:/ -85>C-.- 8>5 /0 K>+3/D> ./0 Z1WK /+ -C5,0 ./

GHHc9 ; 4,/+/ B,=/+*,- 8-5- 0>3 /34-.>3 <,+-+*,/5>3 A:/ -C-5A:/+ /D/5*,*,>3 *:;> *>2,/+O> 3/- - 8-54,5 ./0 G

./ q:0,> ./ GHHHF

7+ D:0,> ./ GHHc9 0- -85>C-*,6+ ./ 0- NZK #c9 1*4,B>3 Z+2-4/5,-0/39 ; ./ 0- NZK !! ]5/B,3-.- /+

GHHc[9 K>2C,+-*,>+/3 ./ N/=>*,>39 85>.:D> *-2C,>3 /+ 0-3 5/</5/+*,-3 *5:O-.-3 ; /+ 0- 4/52,+>0>=Q- ./

0- Z+45>.:**,6+ ; ./ 0>3 8?55-<>3 #H9 $P ; GGPF 1./2?39 0- NZK #c -V-.,69 /+ /0 8?55-<> %9 :+- ./<,+,*,6+

./ ƒ2/5*-.> -*4,B>„F ^,+-02/+4/9 3/ *>55,=,6 :+- ,+*>@/5/+*,- 2/+>5 /+ /0 18)+.,*/ 19 8?55-<>3 1$I9 1$c ; 1%IF

7+ -C5,0 ./ !PPP9 /+456 /+ B,=>5 0- NZK $P9 Z+2:/C0/3 ./ Z+B/53,6+9 A:/ 2>.,<,*-C- /0 8?55-<> GF

7+ /+/5> ./ !PPG9 0- NZK $G9 1=5,*:04:5-9 2>.,<,*6 /0 8?55-<> GF 734- 2>.,<,*-*,6+ 4,/+/ B,=/+*,- 8-5- 0>3

/34-.>3 <,+-+*,/5>3 -+:-0/3 A:/ -C-5A:/+ /D/5*,*,>3 *:;> *>2,/+O> 3/- - 8-54,5 ./0 G ./ /+/5> ./ !PP#F

"#5=4$>%%"@#

GF  734- N>52- ]NZK #&[ 85/3*5,C/ 0- *>+4-C,0,O-*,6+ ; 0- ,+<>52-*,6+ <,+-+*,/5- - 5/B/0-5 /+ /0 *-3>

./ ./4/5,>5> ./ B-0>5 ./ 4>.- *0-3/ ./ -*4,B>3F d//280-O- 0>3 5/A:,3,4>3 /34-C0/*,.>3 8-5- /B-0:-5 0-

5/*:8/5-C,0,.-. ./ 0>3 -*4,B>3 ; 5/*>+>*/5 8)5.,.-3 8>5 ./4/5,>5> ./0 B-0>59 A:/ 3/ ,+*0:;/+ /+ 0-3

3,=:,/+4/3 N>52-3a

]-[  NZK G& ]5/B,3-.- /+ GHH#[9 Z+2>B,0,O-.> _-4/5,-0 ]B)-3/ 0- NZK G&9 5/B,3-.- /+ GHHc[X

]C[ NZK !! ]5/B,3-.- /+ GHH#[9 K>2C,+-*,>+/3 ./ N/=>*,>3 ]B)-3/ 0- NZK !!9 5/B,3-.- /+

GHHc[X

]*[  NZK !c ]5/>5./+-.- /+ GHH$[9 K>+4-C,0,O-*,6+ ./ Z+B/53,>+/3 /+ 7285/3-3 13>*,-.-3

]B)-3/ 0- NZK !c9 5/B,3-.- /+ GHHc[X ;

].[  NZK #G ]5/>5./+-.- /+ GHH$[9 Z+<>52-*,6+ ^,+-+*,/5- ./ 0>3 Z+4/5/3/3 /+ N/=>*,>3K>+D:+4>3 ]B)-3/ 0- NZK #G9 5/B,3-.- /+ GHHc[F

R>3 *-2C,>3 2?3 ,28>54-+4/3 5/38/*4> ./ 0-3 /U,=/+*,-3 -+4/5,>5/39 -3Q *>2> 0-3 /U80,*-*,>+/3 -

0>3 85,+*,8,>3 *>+4/+,.>3 /+ 0- NZK #&9 8:/./+ *>+3:04-53/ /+ :+ .>*:2/+4> +> ,+*0:,.> /+ /34/

 B>0:2/+9 4,4:0-.> ^:+.-2/+4>3 ./ 0-3 K>+*0:3,>+/3F

Page 250: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 250/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !%P

!F  7+ 0- NZK #& +> 3/ 45-4-+ 0>3 ./4/5,>5>3 ./ B-0>5 /+ 0-3 /U,34/+*,-39 +, /+ 0>3 -*4,B>3 8>5

,28:/34>3 .,</5,.>39 +, /+ 0>3 -*4,B>3 A:/ 3:5=/+ ./ 0>3 *>+45-4>3 ./ *>+345:**,6+9 +, /+ 0>3

-*4,B>3 A:/ 3/ >5,=,+-+ /+ /0 *-3> ./ 5/*>+>*/5 85/34-*,>+/3 - <-B>5 ./ 0>3 /280/-.>39 +, 4-28>*>

0>3 ./4/5,>5>3 ./ B-0>5 /+ 0- 2-;>5Q- ./ 0>3 -*4,B>3 <,+-+*,/5>3F

#F  R- NZK #& >C0,=- - /34,2-5 /0 ,28>54/ 5/*:8/5-C0/ ./ :+ ./4/52,+-.> -*4,B> /+ /0 2,32>

2>2/+4> A:/ /U,34- :+- ,+.,*-*,6+ ./ A:/ 8:/./ @-C/53/ ./4/5,>5-.> 3: B-0>5F 7+ -0=:+>3 *-3>3

/38/*Q<,*>39 0- N>52- Z+4/5+-*,>+-0 ./ K>+4-C,0,.-. -80,*-C0/ -0 -*4,B> /+ *:/34,6+ 8:/./ *>+4/+/5

/U,=/+*,-3 8-5- 5/-0,O-5 5/B,3,>+/3 -.,*,>+-0/3F M>5 /D/280>9 /+ 0- NZK #c9 1*4,B>3 Z+2-4/5,-0/39 ;

/+ 0- NZK !! ]5/B,3-.- /+ GHHc[9 K>2C,+-*,>+/3 ./ N/=>*,>39 3/ /U,=/ A:/ /0 ,28>54/ 5/*:8/5-C0/

./ 0>3 -*4,B>3 ,+2-4/5,-0/3 ; /0 <>+.> ./ *>2/5*,>9 3, 3/ -2>54,O-+ /+ :+ 8/5,>.> 3:8/5,>5 - !P

-V>39 ./C- /34,2-53/ 4>.>3 0>3 -V>3F

$F  7+ 0- NZK #& 3/ /U,=/ 5/*>+>*/5 :+- 8)5.,.- 8>5 ./4/5,>5> 3,/285/ A:/ /0 ,28>54/ /+ 0,C5>3 ./0

-*4,B> /+ *:/34,6+ 3/- 2-;>5 A:/ 3: ,28>54/ 5/*:8/5-C0/F 734- 8)5.,.- ./C/ 45-4-53/ *>2> :+

*-5=> /+ 0- *:/+4- ./ 5/3:04-.>3 3, 0>3 -*4,B>3 /+ *:/34,6+ 3/ *>+4-C,0,O-+ 8>5 3: 85/*,> ./

-.A:,3,*,6+ > *>34/ ./ 85>.:**,6+9 ; *>2> :+- .,32,+:*,6+ ./ 0-3 *:/+4-3 ./ 5/3/5B-3 8>5

5/B-0>5,O-*,6+ 3, /0 -*4,B> 3/ *>+4-C,0,O- 8>5 3: B-0>5 5/B-0>5,O-.>F

%F  R- NZK #& /U,=/ /B-0:-5 /0 ,28>54/ 5/*:8/5-C0/ *>2> /0 2-;>5 ./ /+45/ /0 85/*,> ./ B/+4- +/4> ;

/0 B-0>5 ./ :3>a

]-[  /0 85/*,> ./ B/+4- +/4> /3 /0 ,28>54/ A:/ 3/ 8:/./ >C4/+/5 ./ 0- B/+4- ./0 -*4,B>9 /+ :+-

45-+3-**,6+ 0,C5/ 5/-0,O-.- /+45/ :+ *>285-.>5 ; :+ B/+./.>5 -./*:-.-2/+4/ ,+<>52-.>3945-3 @-C/5 ./.:*,.> *:-0/3A:,/5- *>34/3 ,+*5/2/+4-0/3 -45,C:,C0/3 ./ <>52- .,5/*4- - 0-

>8/5-*,6+ ./ /+-D/+-*,6+ > -C-+.>+>X ;

]C[  B-0>5 ./ :3> /3 /0 B-0>5 -*4:-0 ./ 0>3 <0:D>3 ./ /</*4,B> /34,2-.>3 A:/ 3/ /38/5- A:/ 3:5D-+

./ 0- >8/5-*,6+ *>+4,+:-.- ./0 -*4,B> - 0> 0-5=> ./ 3: B,.- b4,09 -3Q *>2> ./ 3: /+-D/+-*,6+

> -C-+.>+> -0 <,+-0 ./ 0- 2,32-F

&F  M-5- 0- ./4/52,+-*,6+ ./0 B-0>5 ./ :3>9 0- NZK #& /U,=/ A:/ 0- /285/3- :4,0,*/9 /+45/ >45-3 *>3-3a

]-[  85>;/**,>+/3 ./ <0:D>3 ./ /</*4,B> C-3-.-3 /+ @,864/3,3 <:+.-2/+4-.-3 ; 5-O>+-C0/39 A:/a

],[  5/<0/D/+ 0-3 *>+.,*,>+/3 ./ <:+*,>+-2,/+4> -*4:-0/3 ./0 -*4,B>X ;

],,[  5/85/3/+4/+ 0- 2/D>5 /34,2-*,6+9 5/-0,O-.- 8>5 0- =/5/+*,-9 ./0 *>+D:+4> ./

*>+.,*,>+/3 /*>+62,*-3 A:/ >8/5-5?+ .:5-+4/ /0 5/34> ./ 0- B,.- b4,0 ./0 -*4,B>X ;

]C[ :+ 4,8> ./ ./3*:/+4>9 -+4/3 ./ ,28:/34>39 A:/ 5/<0/D/ 0- /B-0:-*,6+ -*4:-0 ./0 2/5*-.>9

3>C5/ /0 B-0>5 4/28>5-0 ./0 .,+/5> ; 0>3 5,/3=>3 /38/*Q<,*>3 A:/ 3>8>54- /0 -*4,B> A:/ 3/

Page 251: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 251/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !%G

/34? B-0>5-+.>F 70 4,8> ./ ./3*:/+4> +> ./C/ 5/<0/D-5 0>3 5,/=>3 A:/ 3/ @-;-+ 4/+,.> /+

*:/+4- 8-5- -D:34-5 0>3 <0:D>3 ./ /</*4,B>F

IF  70 ,28>54/ 5/*:8/5-C0/ ./C/ /34,2-53/ 8-5- *-.- -*4,B> ,+.,B,.:-02/+4/F W, +> <:/5- 8>3,C0/

@-*/50>9 0- NZK #& /U,=/ - 0- /285/3- A:/ ./4/52,+/ /0 ,28>54/ 5/*:8/5-C0/ 8-5- 0- :+,.-.

=/+/5-.>5- ./ /</*4,B> - 0- A:/ /0 -*4,B> 8/54/+/*/F \+- :+,.-. =/+/5-.>5- ./ /</*4,B> /3 /0 =5:8>

,./+4,<,*-C0/ ./ -*4,B>3 2?3 8/A:/V>9 A:/ ,+*0:;- -0 A:/ 3/ /34? *>+3,./5-+.>9 ; *:;- :4,0,O-*,6+

*>+4,+:-.- =/+/5/ /+45-.-3 ./ /</*4,B> A:/ 3/-+9 /+ C:/+- 2/.,.-9 ,+./8/+.,/+4/3 ./ 0-3 /+45-.-3

85>.:*,.-3 8>5 >45>3 -*4,B>3 > =5:8>3 ./ -*4,B>3F N> >C34-+4/9 3, /0 85>.:*4> /0-C>5-.> 8>5 :+

-*4,B> > =5:8> ./ -*4,B>3 3/ *>4,O- /+ :+ 2/5*-.> -*4,B>9 4-0 -*4,B> > =5:8> ./ /00>3 ./C/5? 3/5

,./+4,<,*-.> *>2> :+- :+,.-. =/+/5-.>5- ./ /</*4,B>9 ,+*0:3> 3, :+- 8-54/ > 0- 4>4-0,.-. ./ /34-

85>.:**,6+ 3/ :4,0,O- ,+4/5+-2/+4/F 7+ /0 18)+.,*/ 19 7D/280>3 ,0:345-4,B>39 3/ ,+*0:;/+ /D/280>3

-*/5*- ./ 0- 2-+/5- ./ ,./+4,<,*-5 :+,.-./3 =/+/5-.>5-3 ./ /</*4,B>F

cF   10 /B-0:-5 0- 8)5.,.- ./ B-0>5 ./ :+- :+,.-. =/+/5-.>5- ./ /</*4,B>9 0- NZK #& /U,=/ A:/ 3/ 4/+=-+

/+ *:/+4- 4-+4> /0 <>+.> ./ *>2/5*,> *>2> 0>3 -*4,B>3 =/+/5-0/3 ./ 0- /285/3- A:/ 3/ 5/0-*,>+/+

*>+ 4-0 :+,.-. ]8>5 /D/280> 0>3 -*4,B>3 ./ 0- 3/./ 3>*,-0 ./ 0- *>28-VQ-[F 7+ 0- 85>8,- NZK #& 3/

/38/*,<,*- *62> 00/B-5 - *-C> /34-3 *>+3,./5-*,>+/3F

HF  R>3 *5,4/5,>3 ./ B-0>5-*,6+ ; 5/*>+>*,2,/+4> ./ 0>3 ./4/5,>5>3 ./ B-0>59 8-5- :+- :+,.-.

=/+/5-.>5- ./ /</*4,B>9 3>+ 0>3 2,32>3 A:/ 8-5- :+ -*4,B> ,+.,B,.:-02/+4/ *>+3,./5-.>F 7+ 0-

NZK #& 3/ /38/*,<,*- *62> ./4/52,+-5 /0 ,28>54/ /+ 0,C5>3 ./ *-.- :+,.-. =/+/5-.>5- ./ /</*4,B>

; *62> .,345,C:,5 /0 ,28>54/ ./0 /B/+4:-0 ./4/5,>5> ./ B-0>5 /+45/ 0>3 -*4,B>3 A:/ 0- *>28>+/+FGPF R- NZK #& /U,=/ 0- 5/B/53,6+ ./ :+ ./4/5,>5> ./ B-0>5 5/*>+>*,.- *>+ -+4/5,>5,.-. 3,9 ; 360> 3,9 3/

@-+ 85>.:*,.> *-2C,>3 /+ 0-3 /34,2-*,>+/3 :4,0,O-.-3 8-5- ./4/52,+-5 /0 ,28>54/ 5/*:8/5-C0/9

./3./ A:/ <:/ 5/*>+>*,.> 8>5 b04,2- B/O :+ ./4/5,>5> ./ B-0>5F N> >C34-+4/9 /0 ./4/5,>5> ./ B-0>5

8:/./ 5/B/54,5 360> /+ 0- 2/.,.- A:/ +> -:2/+4/ /0 ,28>54/ /+ 0,C5>3 ./0 -*4,B> 8>5 /+*,2- ./0

 B-0>5 A:/ 3/ @:C,/5- >C4/+,.> 8-5- /0 2,32> ]+/4> ./ -2>54,O-*,6+[9 /+ /0 *-3> ./ A:/ +> 3/

@:C,/5-+ 5/*>+>*,.> 0>3 ./4/5,>5>3 ./ B-0>5 *>+ -+4/5,>5,.-.F R- 5/B/53,6+ ./ :+ ./4/5,>5> ./

 B-0>5 ./C/ 5/*>+>*/53/ /+ 0- *:/+4- ./ 5/3:04-.>3 3, /0 -*4,B> 3/ *>+4-C,0,O-C- -0 85/*,> ./

-.A:,3,*,6+ > *>34/ ./ 85>.:**,6+9 ; *>2> :+ ,+*5/2/+4> ./ 0-3 5/3/5B-3 8>5 5/B-0>5,O-*,6+

*:-+.> /0 -*4,B> @:C,/5- 3,.> 5/B-0>5,O-.> 85/B,-2/+4/F

GGF R- NZK #& /U,=/ A:/ /0 ./4/5,>5> ./ B-0>5 5/*>+>*,.> 8-5- 0- 8-54,.- ./ <>+.> ./ *>2/5*,> +> 3/-

>CD/4> ./ 5/B/53,6+9 - 2/+>3 A:/a

]-[  /0 ./4/5,>5> ./0 B-0>5 @:C,/5- 3,.> *-:3-.> 8>5 :+ 3:*/3> /U4/5+> ./ +-4:5-0/O-

Page 252: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 252/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !%!

/U*/8*,>+-09 *:;- 5/8/4,*,6+ /+ /0 <:4:5> +> 3/ /38/5/X ;

]C[  3/ @-;-+ 85>.:*,.> 8>34/5,>52/+4/ >45>3 3:*/3>3 A:/ @-;-+ *-:3-.> 0- 5/B/53,6+ ./ 0>3

/</*4>3 ./0 -+4/5,>5 3:*/3>F

G!F 7+ 4>.>3 0>3 *-3>3 ./ 5/*>+>*,2,/+4> ./ ./4/5,>5> ./0 B-0>5 /+ 0>3 -*4,B>39 > ./ 5/B/53,6+ ./0

2,32>9 0- NZK #& /U,=/ A:/ 3/ 5/B/0/ ./4/52,+-.- ,+<>52-*,6+a

]-[  8>5 *0-3/3 ./ -*4,B>3X ;

]C[ 8>5 3/=2/+4>3 3>C5/ 0>3 A:/ 3/ ./C- ,+<>52-5 /+ 0>3 /34-.>3 <,+-+*,/5>39 :4,0,O-+.> /0

<>52-4> 85,+*,8-0 ./ ,+<>52-*,6+ 3/=2/+4-.- ]/34>3 .-4>3 3/ /U,=/+ 360> 3, 0- /285/3-

-80,*- 0- NZK G$9 Z+<>52-*,6+ ^,+-+*,/5- 8>5 W/=2/+4>3[F

R- NZK #& /U,=/ ,+<>52-*,6+ -.,*,>+-0 /+ /0 *-3> ./ A:/ /0 ./4/5,>5> ./ B-0>5 ./ 0>3 -*4,B>39 A:/

@-;- 3,.> 5/*>+>*,.> > @-;- 5/B/54,.> /+ /0 /D/5*,*,>9 3/- 3,=+,<,*-4,B>9 *>+3,./5-+.> 0>3 /34-.>3

<,+-+*,/5>3 ./ 0- /285/3- /+ 3: *>+D:+4>F

G#F K:-+.> 3/ 85>*/.- - -80,*-59 8>5 85,2/5- B/O9 0- NZK #&9 ./C/5? 3/5 -.>84-.- ./ <>52-

85>38/*4,B-F R>3 ./4/5,>5>3 ./0 B-0>5 > 0-3 5/B/53,>+/3 ./ 0>3 2,32>3 ./C/+ 3/5 45-4-.>3

b+,*-2/+4/ 3/=b+ 3/ *>+4/280- /+ 0- 85>8,- NZK #&9 3,+ 4/+/5 /+ *:/+4- +, /0 45-4-2,/+4>

85/</5/+4/ +, /0 45-4-2,/+4> -04/5+-4,B> 8/52,4,.>9 8-5- >45>3 *-2C,>3 /+ 0-3 8>0Q4,*-3 *>+4-C0/39 /+

0- NZK c9 L-+-+*,- > M)5.,.- N/4- ./0 7D/5*,*,>9 755>5/3 ^:+.-2/+4-0/3 ; K-2C,>3 /+ 0-3

M>0Q4,*-3 K>+4-C0/3F

G$F R- NZK #& 4/+.5? B,=/+*,- 8-5- /D/5*,*,>3 A:/ *>2,/+*/+ - 8-54,5 ./0 G ./ D:0,> ./ GHHH9 3, C,/+ 3/

5/*>2,/+.- 3: -80,*-*,6+ *>+ -+4/5,>5,.-. - /3- </*@-FR- 8-54/ +>52-4,B- ./ /34/ M5>+:+*,-2,/+4>9 A:/ -8-5/*/ /+ 0/45- *:53,B- +/=5,4-9 ./C/ 3/5

/+4/+.,.- /+ /0 *>+4/U4> ./ 0-3 /U80,*-*,>+/3 ; .,5/*45,*/3 5/0-4,B-3 - 3: -80,*-*,6+9 -3Q *>2> /+

*>+3>+-+*,- *>+ /0 M560>=> - 0-3 N>52-3 Z+4/5+-*,>+-0/3 ./ K>+4-C,0,.-.F N> 3/ 85/4/+./ A:/ 0-3

N>52-3 Z+4/5+-*,>+-0/3 ./ K>+4-C,0,.-. 3/-+ ./ -80,*-*,6+ /+ /0 *-3> ./ 8-54,.-3 +> 3,=+,<,*-4,B-3 ]B)-3/

/0 8?55-<> G! ./0 M560>=>[F

47B&5"C4

70 >CD/4,B> ./ /34- N>52- /3 /34-C0/*/5 0>3 85>*/.,2,/+4>3 A:/ :+- /285/3- ./C/ -80,*-5 8-5-

-3/=:5-5 A:/ /0 B-0>5 ./ 3:3 -*4,B>3 +> 3:8/5- /0 ,28>54/ A:/ 8:/./ 5/*:8/5-5 ./ 0>3 2,32>3F \+

./4/52,+-.> -*4,B> /34-5? *>+4-C,0,O-.> 8>5 /+*,2- ./ 3: ,28>54/ 5/*:8/5-C0/ *:-+.> 3: ,28>54/ /+

0,C5>3 /U*/.- ./0 ,28>54/ A:/ 3/ 8:/./ 5/*:8/5-5 ./0 2,32> - 45-B)3 ./ 3: :3> > ./ 3: B/+4-F W, /34/ <:/5-

/0 *-3>9 /0 -*4,B> 3/ *-0,<,*-5Q- *>2> ./4/5,>5-.>9 ; 0- N>52- /U,=/ A:/ 0- /285/3- 5/*>+>O*-

Page 253: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 253/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !%#

*>+4-C0/2/+4/ 0- *>55/38>+.,/+4/ 8)5.,.- ./ B-0>5 8>5 ./4/5,>5>F 7+ 0- N>52- 4-2C,)+ 3/ /38/*,<,*-

*:?+.> 0- /285/3- ./C/ 85>*/./5 - 5/B/54,5 0- 8)5.,.- ./ B-0>5 8>5 ./4/5,>5>9 ; 3/ /U,=/ A:/ 3:2,+,345/

./4/52,+-.- ,+<>52-*,6+ 5/</5/+4/ - 0>3 -*4,B>3 A:/ @-;-+ 3:<5,.> /34/ 4,8> ./ ./4/5,>5>3 ./ B-0>5F

 68%6#%&

GF  734- N>52- 3/ ./C/ -80,*-5 /+ 0- *>+4-C,0,O-*,6+ ./ 0>3 ./4/5,>5>3 ./ B-0>5 ./ *:-0A:,/5 *0-3/ ./

-*4,B>39 3-0B> 0>3 3,=:,/+4/3a

]-[  (j+)*(-G+1) b0e1)( O1 #"% AN &j+)*(-G+1)Rz

]C[ 1G*+0E) )'/S+HE) H( OE) GE-*/1*E) H( GE-)*/'GG+,- b0e1)( O1 #"% 33N %E-*/1*E) H(

%E-)*/'GG+,-Rz

]*[  1G*+0E) TE/ +JT'()*E) H+I(/+HE) b0e1)( O1 #"% 3AN "JT'()*E )EX/( O1) ?1-1-G+1)Rz

].[  1G*+0E) T/EG(H(-*() H( GE)*() H( /(*/+X'G+E-() 1 (JTO(1HE) b0e1)( O1 #"% 3^N

=(*/+X'G+E-() 1 OE) &JTO(1HE)Rz

]/[  1G*+0E) I+-1-G+(/E) f'( )( (-G'(-*/(- +-GO'+HE) (- (O 1OG1-G( H( O1 #"% DAN

"-)*/'J(-*E) L+-1-G+(/E)2 ./()(-*1G+,- ( "-IE/J1G+,- 1 =(0(O1/z

]<[  T/ET+(H1H() H( +-0(/)+,- f'( )( 01OE/(- )(Ss- )' 01OE/ /1iE-1XO( b0e1)( O1 #"% K`N

"-J'(XO() H( "-0(/)+,-Rz F

]=[  1G*+0E) X+EO,S+GE) /(O1G+E-1HE) GE- O1 1G*+0+H1H 1S/gGEO1 f'( )( 01OE/(- )(Ss- )'

01OE/ /1iE-1XO( J(-E) OE) GE)*() ()*+J1HE) (- (O T'-*E H( 0(-*1 b0e1)( O1 #"% K3N

 6S/+G'O*'/1R;

!F  734- N>52- +> 3/ -80,*- - 0-3 /U,34/+*,-39 - 0>3 -*4,B>3 3:5=,.>3 ./ 0>3 *>+45-4>3 ./ *>+345:**,6+9- 0>3 -*4,B>3 8>5 ,28:/34>3 .,</5,.>3 +, - 0>3 -*4,B>3 A:/ 3:5=/+ ./ 0>3 *>34/3 ./ 5/45,C:*,>+/3 -

/280/-.>3 8>5A:/9 /+ >45-3 N>52-3 Z+4/5+-*,>+-0/3 ./ K>+4-C,0,.-. -80,*-C0/3 - 4-0/3 -*4,B>39 3/

@-+ .-.> ;- 5/=0-3 /38/*Q<,*-3 8-5- 5/*>+>*/5 ; 2/.,5 /34>3 4,8>3 ./ -*4,B>3F

#F  734- N>52- 3/ -80,*- -a

]-[  ./8/+.,/+4/39 ./<,+,.-3 /+ 0- NZK !I9 734-.>3 ^,+-+*,/5>3 K>+3>0,.-.>3 ; K>+4-C,0,O-*,6+

./ Z+B/53,>+/3 /+ `/8/+.,/+4/3X

]C[  -3>*,-.-39 ./<,+,.-3 /+ 0- NZK !c9 K>+4-C,0,O-*,6+ ./ Z+B/53,>+/3 /+ 7285/3-3 13>*,-.-3X

;

]*[  +/=>*,>3 *>+D:+4>3 ./<,+,.>3 /+ 0- NZK #G9 Z+<>52-*,6+ ^,+-+*,/5- ./ 0>3 Z+4/5/3/3 /+

N/=>*,>3 K>+D:+4>3F

M-5- /0 ./4/5,>5> ./ >45>3 -*4,B>3 <,+-+*,/5>39 B)-3/ 0- NZK #H9 Z+345:2/+4>3 ^,+-+*,/5>3a

d/*>+>*,2,/+4> ; f-0>5-*,6+F

Page 254: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 254/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !%$

$F  734- N>52- /3 -80,*-C0/ - 0>3 -*4,B>3 A:/ 3/ *>+4-C,0,*/+ 3/=b+ 3: B-0>5 5/B-0>5,O-.> ]B-0>5

5-O>+-C0/[ 3,=:,/+.> >45-3 N>52-3 Z+4/5+-*,>+-0/3 ./ K>+4-C,0,.-.9 *>2> 3:*/./ *>+ /0

45-4-2,/+4> -04/5+-4,B> 8/52,4,.> 8>5 0- NZK G&9 Z+2>B,0,O-.> _-4/5,-0F N> >C34-+4/9 ./4/52,+-5

3, :+ -*4,B> 85/B,-2/+4/ 5/B-0>5,O-.> 8:/./ @-C/53/ ./4/5,>5-.>9 8>5 *-:3-3 ,+/38/5-.-39 ./8/+./

./ 0>3 *5,4/5,>3 :4,0,O-.>3 8-5- ./4/52,+-5 /0 B-0>5 5-O>+-C0/a

]-[  3, /0 B-0>5 5-O>+-C0/ ./0 -*4,B> /3 3: B-0>5 ./ 2/5*-.>9 0- b+,*- .,</5/+*,- /+45/ /0 B-0>5

5-O>+-C0/ ./0 -*4,B> ; 3: 85/*,> ./ B/+4- +/4>9 5/3,./ /+ 0>3 *>34/3 ,+*5/2/+4-0/3 A:/ 3/

./5,B/+ .,5/*4-2/+4/ ./ 0- /+-D/+-*,6+ > -C-+.>+> ./0 -*4,B>a

],[  3, 0>3 *>34/3 ./ /+-D/+-*,6+ > -C-+.>+> 3>+ ,+3,=+,<,*-+4/39 /0 ,28>54/ 5/*:8/5-C0/

./0 -*4,B> 5/B-0>5,O-.> 3/5? :+ B-0>5 856U,2> -9 > 2-;>5 A:/9 3: B-0>5 5/B-0>5,O-.>

]B-0>5 5-O>+-C0/[X /+ 4-0 *-3>9 :+- B/O A:/ 3/ @-;-+ -80,*-.> 0>3 *5,4/5,>3 ./ 0-

5/B-0>5,O-*,6+9 /3 ,285>C-C0/ A:/ /0 -*4,B> 5/B-0>5,O-.> @-;- ./4/5,>5-.> 3: B-0>59

; 8>5 4-+4> +> /3 +/*/3-5,> /34,2-5 /0 ,28>54/ 5/*:8/5-C0/X ;

],,[  3, 0>3 *>34/3 ./ /+-D/+-*,6+ > -C-+.>+> +> 3>+ ,+3,=+,<,*-+4/39 /0 85/*,> ./ B/+4-

+/4> ./0 -*4,B> 5/B-0>5,O-.> 3/5? +/*/3-5,-2/+4/ 2/+>5 A:/ 3: B-0>5 5-O>+-C0/9

8>5 /00> 3/ 5/*>+>*/5? /0 ./4/5,>5> ./0 B-0>5 ./0 -*4,B> 5/B-0>5,O-.> /+ *:/34,6+9

3,/285/ A:/ 3: B-0>5 ./ :3> 3/- 2/+>5 A:/ 3: B-0>5 5/B-0>5,O-.> ]B-0>5 5-O>+-C0/[F

7+ 4-0 *-3>9 :+- B/O A:/ 3/ @-;-+ -80,*-.> 0>3 *5,4/5,>3 ./ 0- 5/B-0>5,O-*,6+9 0-

/285/3- :4,0,O-5? /34- N>52- 8-5- ./4/52,+-5 3, /0 -*4,B> @- 3:<5,.> > +> ./4/5,>5>

./ 3: B-0>5X ;]C[  3, /0 B-0>5 5-O>+-C0/ ./0 -*4,B> 3/ ./4/52,+- - 8-54,5 ./ :+- C-3/ .,34,+4- - 3: B-0>5 ./

2/5*-.>9 3: B-0>5 5/B-0>5,O-.> ]B-0>5 5-O>+-C0/[ 8>.5Q- 3/5 2-;>5 > 2/+>5 A:/ 3: ,28>54/

5/*:8/5-C0/9 ./ <>52- A:/9 ./38:)3 ./ -80,*-5 0>3 *>55/38>+.,/+4/3 *5,4/5,>3 ./

5/B-0>5,O-*,6+9 0- /285/3- 4/+.5? A:/ -80,*-5 /34- N>52- 8-5- ./4/52,+-5 3, /0 -*4,B> @-

3:<5,.> > +> ./4/5,>5> ./ 3: B-0>5F

$&L"#"%"4#&:

%F  8E) )+S'+(-*() *e/J+-E) )( ')1-N (- O1 T/()(-*( #E/J1N GE- (O )+S-+I+G1HE f'( 1 GE-*+-'1G+,- )(

()T(G+I+G12 "JTE/*( /(G'T(/1XO( H( '- 1G*+0E () (O J1FE/ (-*/( )' T/(G+E H( 0(-*1 -(*E F )' 01OE/

H( ')E;

C1OE/ H( ')E H( '- 1G*+0E () (O 01OE/ 1G*'1O H( OE) IO'PE) I'*'/E) ()*+J1HE) H( (I(G*+0E f'(

)( ()T(/1-N *1-*E H( )' I'-G+E-1J+(-*E GE-*+-'1HE (- (O *+(JTEN GEJE H( )' (0(-*'1O

(-1P(-1G+,- E 1X1-HE-E 1O I+-1O H( O1 0+H1 s*+O;

Page 255: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 255/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !%%

./(G+E H( 0(-*1 -(*E H( '- 1G*+0E () (O +JTE/*( f'( )( T'(H( EX*(-(/ TE/ O1 0(-*1 H(O

J+)JE (- '-1 */1-)1GG+,- O+X/(N /(1O+i1H1 (-*/( '- GEJT/1HE/ F '- 0(-H(HE/ 1H(G'1H1J(-*(

+-IE/J1HE)N '-1 0(i H(H'G+HE) OE) GE)*() H( (-1P(-1G+,- E 1X1-HE-E;

%E)*() H( (-1P(-1G+,- E 1X1-HE-E )E- OE) GE)*() +-G/(J(-*1O() H+/(G*1J(-*( 1*/+X'+XO() 1

O1 (-1P(-1G+,- E 1X1-HE-E H( '- 1G*+0EN (jGO'F(-HE OE) S1)*E) I+-1-G+(/E) F OE) +JT'()*E) )EX/(

O1) S1-1-G+1);

.e/H+H1 TE/ H(*(/+E/E () O1 G1-*+H1H (- f'( (jG(H( (O +JTE/*( (- O+X/E) H( '- 1G*+0E 1 )'

+JTE/*( /(G'T(/1XO(;

"JTE/*( (- O+X/E) H( '- 1G*+0E () (O +JTE/*( TE/ (O f'( *1O (O(J(-*E 1T1/(G( (- (O X1O1-G(N

'-1 0(i H(H'G+H1 O1 H(T/(G+1G+,- bE 1JE/*+i1G+,-R 1G'J'O1H1) F (O H(*(/+E/E H( 01OE/ f'(N

(0(-*'1OJ(-*(N O( GE//()TE-H1-;

$(T/(G+1G+,- E 1JE/*+i1G+,- () O1 H+)*/+X'G+,- )+)*(Jh*+G1 H(O 01OE/ H(T/(G+1XO( H( '-

1G*+0E (-*/( OE) 1{E) H( )' 0+H1 s*+O ()*+J1H1 ] G [;

"JTE/*( H(T/(G+1XO( H( '- 1G*+0E () )' GE)*( U+)*,/+GEN E (O +JTE/*( f'( OE )')*+*'F1 (- OE)

()*1HE) I+-1-G+(/E)N '-1 0(i f'( )( U1 H(H'G+HE )' 01OE/ /()+H'1O;

C+H1 s*+O H( '- 1G*+0E ()2

]-[  (O T(/+EHE H( *+(JTE H'/1-*( (O G'1O )( ()T(/1 '*+O+i1/ (O 1G*+0E TE/ T1/*( H( O1

(JT/()1z E X+(-

]C[ (O -sJ(/E H( '-+H1H() H( T/EH'GG+,- E )+J+O1/() f'( )( ()T(/1- EX*(-(/ H(O

J+)JE TE/ T1/*( H( O1 (JT/()1;

>-+H1H S(-(/1HE/1 H( (I(G*+0E () (O S/'TE +H(-*+I+G1XO( H( 1G*+0E) Jh) T(f'({EN G'FE

I'-G+E-1J+(-*E GE-*+-'1HE S(-(/1 (-*/1H1) H( (I(G*+0E 1 I10E/ H( O1 (-*+H1H f'( )E-N (- X'(-1

J(H+H1N +-H(T(-H+(-*() H( OE) IO'PE) H( (I(G*+0E H(/+01HE) H( E*/E) 1G*+0E) E S/'TE) H( 1G*+0E); 

] G [ 7+ /0 *-3> ./ -*4,B>3 ,+2-4/5,-0/3 > ./ <>+.> ./ *>2/5*,>9 3/ :4,0,O- =/+/5-02/+4/ /0 4)52,+>

ƒ-2>54,O-*,6+„9 /+ 0:=-5 ./0 4)52,+> ƒ./85/*,-*,6+„F 12C>3 4)52,+>3 4,/+/+ /0 2,32> 3,=+,<,*-.>F

Page 256: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 256/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !%&

 6G*+0E) GEJ'-() H( O1 GEJT1{g1 )E- OE) 1G*+0E)N H+I(/(-*() H(O IE-HE H( GEJ(/G+EN f'(

GE-*/+X'F(- 1 O1 EX*(-G+,- H( IO'PE) H( (I(G*+0E I'*'/E) (- O1 '-+H1H S(-(/1HE/1 H( (I(G*+0E f'(

)( ()*h GE-)+H(/1-HE F (- O1) H(Jh) '-+H1H() (j+)*(-*() (- O1 (JT/()1; 

<(/G1HE 1G*+0E () '- J(/G1HE (- (O f'( )( H1- O1) )+S'+(-*() GE-H+G+E-()2  

]-[  O1) T1/*+H1) EXP(*E H( */1-)1GG+,- )E- UEJESe-(1)z

]C[  )+(JT/( () TE)+XO( (-GE-*/1/ GEJT/1HE/() F 0(-H(HE/()z F

]*[  OE) T/(G+E) ()*h- H+)TE-+XO() T1/1 (O TsXO+GE;

Z`7N(Z^ZK1KZmN `7 ReW 1K(ZfeW w\7 M\7`7N J1S7d `7(7dZed1`e W\ f1Red

&F  7+ 0>3 8?55-<>3 I - G$ 3/ /38/*,<,*- *:?+.> ./C/ ./4/52,+-53/ /0 ,28>54/ 5/*:8/5-C0/F 7+ 0-3

5/=0-3 A:/ 3/ ><5/*/+9 3/ :4,0,O- /0 4)52,+> ƒ-*4,B>„9 8/5> 3>+ -80,*-C0/3 4-+4> - :+ -*4,B>

*>+3,./5-.> ,+.,B,.:-02/+4/ *>2> - :+- :+,.-. =/+/5-.>5- ./ /</*4,B>F

IF  W/ ./4/5,>5- /0 B-0>5 ./ :+ -*4,B> *:-+.> /0 ,28>54/ /+ 0,C5>3 ./0 2,32> /U*/./ - 3: ,28>54/

5/*:8/5-C0/F 7+ 0>3 8?55-<>3 H - GG 3/ ./3*5,C/+ -0=:+>3 ,+.,*,>3 8-5- 3-C/5 3, @- 4/+,.> 0:=-5 :+

./4/5,>5> ./0 B-0>5 ./ /34- +-4:5-0/O-a 3, 3/ 85/3/+4- -0=:+> ./ 4-0/3 ,+.,*,>39 0- /285/3- /34-5?

>C0,=-.- - 5/-0,O-5 :+- /34,2-*,6+ ./0 ,28>54/ 5/*:8/5-C0/F 7+ *-3> ./ +> 85/3/+4-53/ ,+.,*,>

-0=:+> ./ :+- 8)5.,.- 8>5 ./4/5,>5> 8>4/+*,-09 /34- N>52- +> >C0,=- - 0- /285/3- - A:/ 5/-0,*/

:+- /34,2-*,6+ <>52-0 ./0 ,28>54/ 5/*:8/5-C0/ A:/ 8>.5Q- *>55/38>+./5 - 0>3 -*4,B>3F

cF  81 (JT/()1 H(X( (01O'1/N (- G1H1 I(GU1 H( G+(//( H(O X1O1-G(N )+ (j+)*( 1OSs- +-H+G+E H(

H(*(/+E/E H(O 01OE/ H( )') 1G*+0E); :+ )( H(*(G*1)( 1OSs- +-H+G+EN O1 (JT/()1 H(X(/h ()*+J1/

(O +JTE/*( /(G'T(/1XO( H(O 1G*+0E (- G'()*+,-;

HF   6O (01O'1/ )+ (j+)*( 1OSs- +-H+G+E H( f'( (O 1G*+0E T'(H( U1X(/ H(*(/+E/1HE )' 01OE/N O1

(JT/()1 H(X( GE-)+H(/1/N GEJE Jg-+JEN O1) )+S'+(-*() G+/G'-)*1-G+1)2

L'(-*() (j*(/-1) H( +-IE/J1G+,-

]-[  H'/1-*( (O (P(/G+G+EN (O 01OE/ H( J(/G1HE H(O 1G*+0E U1 H+)J+-'+HE

)+S-+I+G1*+01J(-*( Jh) f'( OE f'( G1X/g1 ()T(/1/ GEJE GE-)(G'(-G+1 H(O J(/E

 T1)E H(O *+(JTE E H(O ')E -E/J1Oz

]C[ H'/1-*( (O (P(/G+G+E U1- *(-+HE O'S1/N E 01- 1 *(-(/ (I(G*E (- (O I'*'/E +-J(H+1*EN

G1JX+E) )+S-+I+G1*+0E) GE- '-1 +-G+H(-G+1 1H0(/)1 )EX/( O1 (JT/()1N /(I(/(-*() 1O

(-*E/-E O(S1ON (GE-,J+GEN *(G-EO,S+GE E H( J(/G1HE (- OE) f'( e)*1 ET(/1N E X+(-

(- (O J(/G1HE 1O f'( ()*h 0+-G'O1HE (O 1G*+0E (- G'()*+,-z

]*[  H'/1-*( (O (P(/G+G+E OE) *+TE) H( +-*(/e) H( J(/G1HEN ' E*/E) *+TE) H( /(-H+J+(-*E

H( J(/G1HE H( +-0(/)+E-()N U1- )'I/+HE +-G/(J(-*E) f'( T/EX1XO(J(-*( 1I(G*(- 1O

Page 257: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 257/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !%I

*+TE H( H()G'(-*E '*+O+i1HE T1/1 G1OG'O1/ (O 01OE/ H( ')E H(O 1G*+0EN H( IE/J1 f'(

H+)J+-'F1- )' +JTE/*( /(G'T(/1XO( H( IE/J1 )+S-+I+G1*+01z

].[  (O +JTE/*( (- O+X/E) H( OE) 1G*+0E) f'( O1 (JT/()1 T/()(-*1N (- )') ()*1HE)

I+-1-G+(/E)N () J1FE/ f'( )' G1T+*1O+i1G+,- X'/)h*+Oz

L'(-*() +-*(/-1) H( +-IE/J1G+,-  

]/[  )( H+)TE-( H( (0+H(-G+1 )EX/( O1 EX)EO()G(-G+1 E H(*(/+E/E Ig)+GE H(O 1G*+0Ez

]<[  H'/1-*( (O (P(/G+G+E U1- *(-+HE O'S1/N E )( ()T(/1 f'( *(-S1- O'S1/ (- (O I'*'/E

+-J(H+1*EN G1JX+E) )+S-+I+G1*+0E) (- O1 IE/J1 E J1-(/1 (- f'( )( ')1 E )( ()T(/1

')1/ (O 1G*+0EN f'( 1I(G*1/h- H()I10E/1XO(J(-*( 1 O1 (JT/()1z (-*/( *1O() G1JX+E)

 T'(H(- (-GE-*/1/)( OE) TO1-() H( +-*(//'TG+,- E /(()*/'G*'/1G+,- H( O1 (jTOE*1G+,-

1 O1 f'( T(/*(-(G( (O 1G*+0EN E f'( )( U1F1 H(G+H+HE O1 (-1P(-1G+,- E 1X1-HE-E H(O

J+)JE 1-*() H( O1 I(GU1 T/(0+)*1z F

]=[  )( H+)TE-( H( (0+H(-G+1 T/EG(H(-*( H( +-IE/J() +-*(/-E)N f'( +-H+G1 f'( (O

/(-H+J+(-*E (GE-,J+GE H(O 1G*+0E ()N E 01 1 )(/N T(E/ f'( (O ()T(/1HE;

GPF R- 0,34- ./0 8?55-<> H +> /3 /U@-:34,B-F R- /285/3- 8:/./ ./4/*4-5 >45>3 ,+.,*,>3 ./ A:/ /0 -*4,B>

8:/./ /34-5 8/5.,/+.> B-0>5 8>5 ./4/5,>5>9 0> A:/ 4-2C,)+ 0- >C0,=-5Q- - ./4/52,+-5 /0 ,28>54/

5/*:8/5-C0/ ./0 -*4,B>F

GGF R- /B,./+*,- >C4/+,.- - 45-B)3 ./ ,+<>52/3 ,+4/5+>39 A:/ 8:.,/5-+ /34-5 3/V-0-+.> /0 ./4/5,>5> ./

 B-0>5 ./0 -*4,B>9 ,+*0:;/ /+45/ >45>3 ,+.,*,>39 0- /U,34/+*,- ./a

]-[  <0:D>3 ./ /</*4,B> 8-5- -.A:,5,5 /0 -*4,B>9 > +/*/3,.-./3 8>34/5,>5/3 ./ /</*4,B> 8-5- >8/5-5*>+ )0 > 2-+4/+/50>9 A:/ 3>+ 3,=+,<,*-4,B-2/+4/ 2-;>5/3 A:/ 0>3 85/3:8:/34-.>3

>5,=,+-02/+4/X

]C[  <0:D>3 +/4>3 ./ /</*4,B> 5/-0/39 > C,/+ C/+/<,*,>3 > 8)5.,.-39 ./5,B-.>3 ./ 0- /U80>4-*,6+

./0 -*4,B>9 A:/ 3>+ 3,=+,<,*-4,B-2/+4/ 8/>5/3 A:/ 0>3 85/3:8:/34-.>3 >5,=,+-02/+4/X

]*[  :+- .,32,+:*,6+ 3,=+,<,*-4,B- ./ 0>3 <0:D>3 ./ /</*4,B> +/4>3 > 3>C5/ 0- =-+-+*,- >8/5-4,B-

85/3:8:/34-.>39 > :+ ,+*5/2/+4> 3,=+,<,*-4,B> ./ 0-3 8)5.,.-3 >5,=,+-02/+4/

85/3:8:/34-.-3 85>*/./+4/3 ./0 -*4,B> /+ *:/34,6+X > C,/+

].[  8)5.,.-3 ./ /U80>4-*,6+ > <0:D>3 +/4>3 +/=-4,B>3 ./ /</*4,B> 8-5- /0 -*4,B>9 *:-+.> 0-3*,<5-3 ./0 /D/5*,*,> -*4:-0 3>+ -=5/=-.-3 - 0-3 *,<5-3 85/3:8:/34-.-3 8-5- /0 <:4:5>F

G!F 70 *>+*/84> ./ ,28>54-+*,- 5/0-4,B- 4,/+/ -80,*-*,6+ -0 ./4/52,+-5 3, /3 +/*/3-5,> /34,2-5 /0

,28>54/ 5/*:8/5-C0/ ./ :+ -*4,B>F M>5 /D/280>9 3, 0>3 *?0*:0>3 85/B,>3 2:/345-+ A:/ /0 ,28>54/

5/*:8/5-C0/ ./0 -*4,B> /3 3,=+,<,*-4,B-2/+4/ 2-;>5 A:/ 3: ,28>54/ /+ 0,C5>39 0- /285/3- +>

+/*/3,4- B>0B/5 - 5//34,2-5 /0 ,28>54/ 5/*:8/5-C0/9 3-0B> /+ 85/3/+*,- ./ 3:*/3>3 A:/ 8:.,/5-+

Page 258: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 258/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !%c

4/+/5 *>2> /</*4> 0- /0,2,+-*,6+ ./ 4-0 .,</5/+*,-F `/ <>52- 3,2,0-59 0>3 -+?0,3,3 85/0,2,+-5/3

8:/./+ 2>345-5 A:/ /0 ,28>54/ 5/*:8/5-C0/ ./ :+ ./4/52,+-.> -*4,B> +> /3 3/+3,C0/ - :+> >

 B-5,>3 ./ 0>3 ,+.,*,>3 0,34-.>3 /+ /0 8?55-<> HF

G#F K>2> ,0:345-*,6+ ./ 0> A:/ 3/ -<,52- /+ /0 8?55-<> G!9 3, 0>3 4,8>3 ./ ,+4/5)3 ./ 2/5*-.> : >45-3

,+.,*-*,>+/3 ./0 5/+.,2,/+4> ./ 2/5*-.> 8-5- 0-3 ,+B/53,>+/3 @-+ 3:<5,.> ,+*5/2/+4>3 .:5-+4/ /0

/D/5*,*,>9 0- /285/3- +> /34-5? >C0,=-.- - 5/-0,O-5 :+- /34,2-*,6+ <>52-0 ./0 ,28>54/ 5/*:8/5-C0/

./0 -*4,B> /+ 0>3 3,=:,/+4/3 *-3>3a

]-[  *:-+.> +> 3/- 85>C-C0/ A:/ /0 4,8> ./ ./3*:/+4> :4,0,O-.> -0 *-0*:0-5 /0 B-0>5 ./ :3> ./0

-*4,B> B-;- - B/53/ -</*4-.> 8>5 /0 ,+*5/2/+4> /+ 4-0/3 4,8>3 ./ 2/5*-.>F M>5 /D/280>9 0>3

,+*5/2/+4>3 /+ 0>3 4,8>3 ./ ,+4/5)3 - *>54> 80-O>9 8:/./+ +> /D/5*/5 :+ /</*4> ,28>54-+4/

/+ /0 4,8> ./ ./3*:/+4> :4,0,O-.> 8-5- B-0>5-5 :+ -*4,B> -0 A:/ 0/ 5/34- 4>.-BQ- :+- B,.- b4,0

.,0-4-.-X >

]C[  *:-+.> 5/3:04/ 85>C-C0/ A:/ /0 4,8> ./ ./3*:/+4> :4,0,O-.> -0 *-0*:0-5 /0 B-0>5 ./ :3> ./0

-*4,B>9 B-;- - B/53/ -</*4-.> 8>5 /0 ,+*5/2/+4> /+ 4-0/3 4,8>3 ./ ./3*:/+4>9 8/5> 0>3

-+?0,3,3 85/B,>3 ./ 3/+3,C,0,.-. 3>C5/ /0 ,28>54/ 5/*:8/5-C0/ 2:/345/+ A:/a

],[  /3 ,285>C-C0/ A:/ 3/ B-;- - 85>.:*,5 :+- .,32,+:*,6+ ,28>54-+4/ /+ /0 ,28>54/

5/*:8/5-C0/9 8>5 *-:3- ./ A:/ 0>3 <0:D>3 <:4:5>3 ./ /</*4,B> /3 8>3,C0/ A:/ 3/ B/-+

-:2/+4-.>3F M>5 /D/280>9 /+ -0=:+>3 *-3>39 0- /285/3- 8:/./ 3/5 *-8-O ./

./2>345-5 A:/ 8:/./ -D:34-5 3:3 ,+=5/3>3 >5.,+-5,>3 8-5- *>28/+3-5 /B/+4:-0/3

,+*5/2/+4>3 /+ 0>3 4,8>3 ]./ 5/+.,2,/+4>[ ./0 2/5*-.>X > C,/+],,[  A:/ /3 ,285>C-C0/ A:/ ./ 0- .,32,+:*,6+ ./0 ,28>54/ 5/*:8/5-C0/ 5/3:04/ :+

./4/5,>5> ./ *:-+4Q- 3,=+,<,*-4,B-F

G$F W, /U,34/ *:-0A:,/5 ,+.,*,> ./ A:/ /0 -*4,B> 8:/./ @-C/5 8/5.,.> B-0>5 8>5 ./4/5,>5>9 /34> 8>.5Q-

,+.,*-5 A:/ .:5-+4/ 0- B,.- b4,0 5/34-+4/9 /0 2)4>.> ./ -2>54,O-*,6+ :4,0,O-.> > /0 B-0>5 5/3,.:-0 ./0

-*4,B>9 +/*/3,4-+ 3/5 5/B,3-.>3 ; -D:34-.>39 3/=b+ 3/ .,38>+/ /+ 0- NZK -80,*-C0/ - 4-0 -*4,B>9

,+*0:3> 3, <,+-02/+4/ +> 3/ 00/=- - 5/*>+>*/5 +,+=b+ ./4/5,>5> ./0 B-0>5 8-5- /0 -*4,B> *>+3,./5-.>F

 f1Red1KZmN `7R Z_Med(7 d7K\M7d1SR7

G%F 7+ /34- N>52- 3/ ./<,+/ ,28>54/ 5/*:8/5-C0/ ./ :+ -*4,B> *>2> /0 2-;>5 /+45/ /0 85/*,> ./ B/+4-

+/4> ; /0 B-0>5 ./ :3>F R>3 8?55-<>3 G& - %& /34-C0/*/+ 0>3 5/A:,3,4>3 8-5- 0- ./4/52,+-*,6+ ./0

,28>54/ 5/*:8/5-C0/F 7+ /00>3 3/ :4,0,O- /0 4)52,+> ƒ-*4,B>„9 A:/ /3 -80,*-C0/ 4-+4> - 0>3 -*4,B>3

,+.,B,.:-0/3 *>2> - 0-3 :+,.-./3 =/+/5-.>5-3 ./ /</*4,B>F

G&F N> 3,/285/ /3 +/*/3-5,> *-0*:0-5 /0 85/*,> ./ B/+4- +/4> ./ :+ -*4,B> ; 3: B-0>5 ./ :3>F M>5

Page 259: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 259/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !%H

/D/280>9 3, :+> *:-0A:,/5- ./ 4-0/3 B-0>5/3 /U*/.,/5- -0 ,28>54/ /+ 0,C5>3 ./0 -*4,B>9 )34/ +> @-C5Q-

./4/5,>5-.> 3: B-0>59 ; 8>5 4-+4> +> 3/5Q- +/*/3-5,> 85>*/./5 -0 *?0*:0> ./0 >45> B-0>5 5/34-+4/F

GIF 73 8>3,C0/ *-0*:0-5 /0 85/*,> ./ B/+4- +/4> ./ :+ -*4,B> ,+*0:3> 3, )34/ +> *:/+4- *>+ :+ 2/5*-.>

-*4,B>F W,+ /2C-5=>9 /+ >*-3,>+/3 +> 3/5? 8>3,C0/ ./4/52,+-5 /0 85/*,> ./ B/+4- +/4>9 8>5A:/ +>

/U,34-+ C-3/3 8-5- @-*/5 :+- /34,2-*,6+ <,-C0/ ./0 ,28>54/ A:/ 8>.5Q- >C4/+/59 8>5 0- B/+4- ./0

-*4,B> /+ *:/34,6+9 /+ :+- 45-+3-**,6+ 0,C5/ 5/-0,O-.- /+45/ :+ *>285-.>5 ; :+ B/+./.>5

-./*:-.-2/+4/ ,+<>52-.>3F 7+ 4-0 *-3>9 8:/./ 4>2-53/ *>2> ,28>54/ 5/*:8/5-C0/ ./ :+ -*4,B>

3: B-0>5 ./ :3>F

GcF W, +> @:C,/3/ 5-O6+ 8-5- *5//5 A:/ /0 B-0>5 ./ :3> ./0 -*4,B> /U*/./ ./ <>52- 3,=+,<,*-4,B- - 3:

85/*,> ./ B/+4- +/4>9 8:/./ 4>2-53/ /34/ b04,2> 85/*,> *>2> ,28>54/ 5/*:8/5-C0/ ./0 2,32>F

734/ /39 *>+ <5/*:/+*,-9 /0 *-3> ./ :+ -*4,B> *:;> ./34,+> /3 0- /+-D/+-*,6+ > -C-+.>+>F 7+

/</*4>9 /0 B-0>5 ./ :3> ./ :+ -*4,B> A:/ 3/ ./34,+- - 3/5 /+-D/+-.> > -C-+.>+-.> /34-5?

*>28:/34>9 <:+.-2/+4-02/+4/9 8>5 /0 ,28>54/ - >C4/+/5 8>5 0- B/+4-9 ;- A:/ 0>3 <0:D>3 ./ /</*4,B>

<:4:5>39 ./5,B-.>3 ./ 3: <:+*,>+-2,/+4> *>+4,+:-.> @-34- 0- /+-D/+-*,6+ > -C-+.>+>9

85>C-C0/2/+4/ 5/3:04/+ ,+3,=+,<,*-+4/3 - /</*4>3 ./0 *?0*:0>F

GHF 70 ,28>54/ 5/*:8/5-C0/ 3/ *-0*:0- 8-5- *-.- -*4,B> ,+.,B,.:-02/+4/9 3-0B> A:/ 0>3 -*4,B>3 +>

=/+/5-3/+ /+45-.-3 ./ /</*4,B> A:/ <:/5-+9 /+ C:/+- 2/.,.-9 ,+./8/+.,/+4/3 ./ 0-3 85>.:*,.-3 8>5

>45>3 -*4,B>3 > =5:8>3 ./ -*4,B>3F W, /34/ <:/5- /0 *-3>9 /0 ,28>54/ 5/*:8/5-C0/ 3/ ./4/52,+-5? 8-5-

0- :+,.-. =/+/5-.>5- ./ /</*4,B> - 0- A:/ 8/54/+/O*- /0 -*4,B> /+ *:/34,6+ ]B)-+3/ 0>3 8?55-<>3 &$ -

cI[9 - 2/+>3 A:/a]-[  /0 85/*,> ./ B/+4- +/4> ./0 -*4,B> 3/- 2-;>5 A:/ 3: ,28>54/ /+ 0,C5>3X >

]C[  3/ /34,2/ A:/ /0 B-0>5 ./ :3> ./0 -*4,B> /34) 856U,2> - 3: 85/*,> ./ B/+4- +/4>9 ; /34/

b04,2> 8:/.- 3/5 ./4/52,+-.>F

!PF 7+ -0=:+>3 *-3>39 8-5- 0- ./4/52,+-*,6+ ./0 85/*,> ./ B/+4- +/4> > ./0 B-0>5 ./ :3>9 0-3

/34,2-*,>+/39 0>3 85>2/.,>3 ; >45-3 3,280,<,*-*,>+/3 /+ /0 *?0*:0> 8:/./+ 85>8>5*,>+-5 :+-

-85>U,2-*,6+ 5-O>+-C0/ - 0-3 *,<5-3 A:/ 3/ >C4/+.5Q-+ ./ *?0*:0>3 2?3 ./4-00-.>39 *>2> 0>3

,0:345-.>3 /+ /0 18)+.,*/ ./ /34- N>52-F

"$/62# ./ A/-5+ -/5# 

!GF R- 2/D>5 /B,./+*,- ./0 85/*,> ./ B/+4- +/4> 0- *>+34,4:;/ 0- /U,34/+*,- ./ :+ 85/*,>9 ./+45> ./ :+

*>285>2,3> <>52-0 ./ B/+4-9 /+ :+- 45-+3-**,6+ 0,C5/9 -D:34-.> 8>5 0>3 *>34/3 ,+*5/2/+4-0/3 A:/

8:.,/5-+ 3/5 .,5/*4-2/+4/ -45,C:,C0/3 - 0- /+-D/+-*,6+ > -C-+.>+> ./0 -*4,B>F

!!F W, +> /U,34,/5- :+ *>285>2,3> <>52-0 ./ B/+4-9 8/5> /0 -*4,B> 4:B,/5- :+ 2/5*-.> -*4,B> ./

Page 260: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 260/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !&P

*>285-B/+4-9 /0 85/*,> ./ B/+4- +/4> /34-5Q- *>+34,4:,.> 8>5 /0 85/*,> ./0 -*4,B> /+ /0 2/5*-.>

2/+>3 0>3 *>34/3 ./ /+-D/+-*,6+ > -C-+.>+>F 70 85/*,> ./ 2/5*-.> -./*:-.> /39 +>52-02/+4/9 /0

85/*,> B/+./.>5 A:/ 3/ .) /+ *-.- 2>2/+4>F K:-+.> +> 3/ .,38>+=- ./0 85/*,> B/+./.>5 ./0

2>2/+4>9 /0 85/*,> ./ 0- 45-+3-**,6+ 2?3 5/*,/+4/ 8:/./ 85>8>5*,>+-5 0- C-3/ -./*:-.- 8-5-

/34,2-5 /0 85/*,> ./ B/+4- +/4>9 3:8>+,/+.> A:/ +> 3/ @-;-+ 85>.:*,.> *-2C,>3 3,=+,<,*-4,B>3 /+

0-3 *,5*:+34-+*,-3 /*>+62,*-39 /+45/ 0- </*@- ./ 0- 45-+3-**,6+ ; 0- </*@- /+ 0- A:/ 3/ 5/-0,O- 0-

/34,2-*,6+F

!#F W, +> /U,34,/3/ +, :+ -*:/5.> <,52/ ./ B/+4- +, :+ 2/5*-.> -*4,B> 8-5- /0 C,/+ /+ *:/34,6+9 /0

85/*,> ./ B/+4- +/4> 3/ *-0*:0-5? - 8-54,5 ./ 0- 2/D>5 ,+<>52-*,6+ .,38>+,C0/ 8-5- 5/<0/D-5 /0

,28>54/ A:/ 0- /285/3- 8:/./ >C4/+/59 /+ :+- 45-+3-**,6+ 0,C5/ /+45/ :+ *>285-.>5 ; :+

 B/+./.>59 -./*:-.-2/+4/ ,+<>52-.>39 :+- B/O ./.:*,.>3 0>3 *>34/3 ./5,B-.>3 ./ 0- /+-D/+-*,6+ >

-C-+.>+>F M-5- ./4/52,+-5 /34/ ,28>54/9 0- /285/3- *>+3,./5-5? /0 5/3:04-.> ./ 0-3 45-+3-**,>+/3

5/*,/+4/3 *>+ -*4,B>3 3,2,0-5/3 /+ /0 2,32> 3/*4>5 ,+.:345,-0F 70 85/*,> ./ B/+4- +/4> +> 5/<0/D-5?

:+- B/+4- <>5O-.-9 3-0B> A:/ 0- =/5/+*,- 3/ B/- >C0,=-.- - B/+./5 ,+2/.,-4-2/+4/F

!$F R>3 *>34/3 8>5 /+-D/+-*,6+ > -C-+.>+>9 .,</5/+4/3 ./ -A:)00>3 A:/ ;- @-;-+ 3,.> 5/*>+>*,.>3

*>2> 8-3,B>39 3/ @-C5?+ ./ ./.:*,5 -0 *-0*:0-5 /0 85/*,> ./ B/+4- +/4>F W>+ /D/280>3 ./ /34>3

4,8>3 ./ *>34/3 0>3 ./ *-5?*4/5 0/=-09 0>3 ,28:/34>3 ./ 4>.> 4,8> A:/ /0 B/+./.>5 @- ./ 8-=-5 8>5 0-

>8/5-*,6+9 0>3 *>34/3 ./ ./32>+4-5 > ./380-O-5 /0 -*4,B>9 -3Q *>2> 4>.>3 0>3 ./2?3 *>34/3

,+*5/2/+4-0/3 8>5 ./D-5 /0 -*4,B> /+ *>+.,*,>+/3 ./ B/+4-F N> >C34-+4/9 0-3 ,+./2+,O-*,>+/3 8>5

*/3/ ]4-0 *>2> @-+ 3,.> ./<,+,.-3 /+ 0- NZK GH9 d/45,C:*,>+/3 - 0>3 7280/-.>3[ ; >45>3 *>34/3-3>*,-.>3 *>+ 0- 5/.:**,6+ ./0 4-2-V> > 0- 5/>5=-+,O-*,6+ ./ :+- /285/3-9 A:/ 8:/./ ./5,B-53/

./ 0- B/+4- ./ :+ -*4,B>9 +> 3>+ *>34/3 ,+*5/2/+4-0/3 .,5/*4-2/+4/ 5/0-*,>+-.>3 ; -45,C:,C0/3 - 0-

/+-D/+-*,6+ > -C-+.>+>F

!%F 7+ >*-3,>+/39 0- B/+4- ./ :+ -*4,B> 8:/./ >C0,=-5 -0 *>285-.>5 - -3:2,5 :+ 8-3,B>9 ; 360> 3/

8:/./ .,38>+/5 ./ :+ 85/*,> ./ B/+4- +/4> b+,*> 4-+4> 8-5- )0 *>2> 8-5- /0 8-3,B>F 7+ /0 8?55-<>

II 3/ /U80,*- *62> 45-4-5 4-0/3 *-3>3F

a+)#$ ./ '*# 

!&F R- /34,2-*,6+ ./0 B-0>5 ./ :3> ./ :+ -*4,B> *>+00/B- 0>3 3,=:,/+4/3 8-3>3a

]-[  /34,2-5 0-3 /+45-.-3 ; 3-0,.-3 <:4:5-3 ./ /</*4,B> ./5,B-.-3 4-+4> ./0 <:+*,>+-2,/+4>

*>+4,+:-.> ./0 -*4,B> *>2> ./ 3: /+-D/+-*,6+ > -C-+.>+> <,+-0X ;

]C[  -80,*-5 /0 4,8> ./ ./3*:/+4> -./*:-.> - /34>3 <0:D>3 ./ /</*4,B> <:4:5>3F

Page 261: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 261/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !&G

S - 3 / 3 8 - 5 - 0 - / 3 4 , 2 - * , 6 + . / 0 > 3 < 0 : D > 3 . / / < / * 4 , B > < : 4 : 5 > 3

!IF .1/1 J(H+/ (O 01OE/ H( ')E2

]-[  O1) T/EF(GG+E-() H( OE) IO'PE) H( (I(G*+0E H(X(- ()*1/ X1)1H1) (- U+T,*()+)

/1iE-1XO() F I'-H1J(-*1H1)N f'( /(T/()(-*(- O1) J(PE/() ()*+J1G+E-() H( O1

 S(/(-G+1 )EX/( (O GE-P'-*E H( O1) GE-H+G+E-() (GE-,J+G1) f'( )( T/()(-*1/h- 1 OE

O1/SE H( O1 0+H1 s*+O /()*1-*( H(O 1G*+0E; $(X( H1/)( J1FE/ T()E 1 O1) (0+H(-G+1)

(j*(/-1) 1 O1 (JT/()1z

]C[  O1) T/EF(GG+E-() H( IO'PE) H( (I(G*+0E H(X(- ()*1/ X1)1H1) (- OE) T/()'T'()*E) E

 T/E-,)*+GE) H( *+TE I+-1-G+(/E Jh) /(G+(-*()N f'( U1F1- )+HE 1T/EX1H1) TE/ O1

 S(/(-G+1 H( O1 (JT/()1; 81) T/EF(GG+E-() X1)1H1) (- ()*E) T/()'T'()*E) E

 T/E-,)*+GE) H(X(- G'X/+/ GEJE Jhj+JE '- T(/+EHE H( G+-GE 1{E)N )1O0E f'( T'(H1

 P')*+I+G1/)( '- TO1iE J1FE/z F

]*[  TE/ sO*+JEN O1) T/EF(GG+E-() H( IO'PE) H( (I(G*+0E TE)*(/+E/() 1O T(/+EHE G'X+(/*E

 TE/ OE) T/()'T'()*E) E T/E-,)*+GE) H( *+TE I+-1-G+(/E Jh) /(G+(-*()N H(X(-

()*+J1/)( (j*/1TEO1-HE O1) T/EF(GG+E-() 1-*(/+E/()N 1 T1/*+/ H( *1O() T/()'T'()*E) E

 T/(0+)+E-()N '*+O+i1-HE T1/1 OE) 1{E) TE)*(/+E/() ()G(-1/+E) GE- '- *+TE H(

G/(G+J+(-*E GE-)*1-*( E H(G/(G+(-*(N )1O0E f'( )( T'H+(/1 P')*+I+G1/ (O ')E H( '-

*+TE G/(G+(-*( (- (O *+(JTE; &)*( *+TE H( G/(G+J+(-*E -E H(X(/h (jG(H(/ H(O *+TE

J(H+E H( G/(G+J+(-*E 1 O1/SE TO1iE T1/1 OE) T/EH'G*E)N +-H')*/+1)N T1g) E T1g)() (-

OE) f'( ET(/1 O1 (JT/()1N E T1/1 (O J(/G1HE (- (O f'( )( '*+O+i1 (O 1G*+0EN )1O0E f'(

 T'H+(/1 P')*+I+G1/)( '- *+TE H( G/(G+J+(-*E J1FE/;

!cF M>5 0> =/+/5-09 +> 3/ 3:/0/ .,38>+/5 ./ 85/3:8:/34>3 > 85>+634,*>3 ./ 4,8> <,+-+*,/5>9 A:/ 3/-+

./4-00-.>39 /U80Q*,4>3 ; <,-C0/39 8-5- 8/5,>.>3 2-;>5/3 ./ *,+*> -V>3F M>5 /34- 5-O6+9 0-3

/34,2-*,>+/3 A:/ @-=- 0- =/5/+*,- 3>C5/ 0>3 <0:D>3 <:4:5>3 ./ /</*4,B>9 ./C/+ C-3-53/ /+ 0>3

85/3:8:/34>3 > 85>+634,*>3 2?3 5/*,/+4/39 *>+ :+ 2?U,2> ./ *,+*> -V>3F R- =/5/+*,- 8:/./

:4,0,O-5 85>;/**,>+/39 C-3-.-3 /+ 0>3 85/3:8:/34>3 > 85>+634,*>3 <,+-+*,/5>39 8-5- :+ 8/5,>.>

2-;>5 ./ *,+*> -V>39 3,/285/ A:/ *5/- A:/ 3>+ <,-C0/3 ; 8:/.- ./2>345-5 3: *-8-*,.-.9 - 8-54,5 ./

0- /U8/5,/+*,- 8-3-.-9 ./ 85/./*,5 0>3 <0:D>3 ./ /</*4,B> ./ <>52- 85/*,3- /+ 80-O>3 4-+ 0-5=>3 ./

4,/28>F

!HF R-3 85>;/**,>+/3 ./ <0:D>3 ./ /</*4,B> @-34- /0 <,+-0 ./ 0- B,.- b4,0 ./0 -*4,B> 3/ /34,2-+

/U45-8>0-+.> 0-3 85>;/**,>+/3 ./ <0:D>3 ./ /</*4,B> C-3-.>3 /+ 85/3:8:/34>3 > 85>+634,*>3

<,+-+*,/5>39 :4,0,O-+.> :+ 4,8> ./ *5/*,2,/+4> 8-5- 0>3 -V>3 3,=:,/+4/3F 734/ 4,8> 3/5? *>+34-+4/ >

Page 262: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 262/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !&!

./*5/*,/+4/9 - 2/+>3 A:/ 0- ,+<>52-*,6+ >CD/4,B- ,+.,A:/ A:/ :+ 4,8> *5/*,/+4/ 3/ -D:34- 2/D>5 -

0>3 8-45>+/3 A:/ 3,=:/ /0 *,*0> ./ B,.- ./0 85>.:*4> > ./0 3/*4>5 ,+.:345,-0F W, 5/3:04-5- -85>8,-.>9

/0 4,8> ./ *5/*,2,/+4> 8>.5Q- 4-2C,)+ 3/5 +:0> > +/=-4,B>F

#PF K:-+.> 0-3 *>+.,*,>+/3 3/-+ 2:; <-B>5-C0/39 /3 8>3,C0/ A:/ /+45/+ *>28/4,.>5/3 /+ /0 2/5*-.> ;

0,2,4/+ /0 8>3,C0/ *5/*,2,/+4>F M>5 4-+4>9 0-3 /285/3-3 8:/./+ 4/+/5 .,<,*:04-./3 8-5- 3:8/5-5 /0

4,8> 2/.,> ./ *5/*,2,/+4> @,3465,*> /+ /0 0-5=> 80-O> ]8>5 /D/280>9 /+ B/,+4/ -V>3[9 5/</5,.> - 0>3

85>.:*4>39 3/*4>5/3 ,+.:345,-0/39 8-Q3 > 8-Q3/3 /+ 0>3 A:/ 0- /285/3- >8/5-9 > 8-5- /0 2/5*-.> /+

A:/ /0 -*4,B> B-;- - 3/5 :4,0,O-.>F

#GF  10 :3-5 ,+<>52-*,6+ ./ 0>3 85/3:8:/34>3 > 85>+634,*>3 ./ 4,8> <,+-+*,/5>9 0- /285/3- @-C5? ./

*>+3,./5-5 3, 0- ,+<>52-*,6+ 5/<0/D- @,864/3,3 5-O>+-C0/3 ; <:+.-2/+4-.-39 ; 3, 5/85/3/+4- 0- 2/D>5

/34,2-*,6+ ./0 *>+D:+4> ./ *>+.,*,>+/3 /*>+62,*-3 A:/ 3/ .-5?+ /+ 0- B,.- b4,0 5/34-+4/ ./0 -*4,B>

/+ *:/34,6+F

K > 2 8 > 3 , * , 6 + . / 0 - 3 / 3 4 , 2 - * , > + / 3 . / 0 > 3 < 0 : D > 3 . / / < / * 4 , B > < : 4 : 5 > 3

#!F 81) ()*+J1G+E-() H( OE) IO'PE) H( (I(G*+0E I'*'/E) H(X(- +-GO'+/2

]-[  T/EF(GG+E-() H( GEX/E) T/EG(H(-*() H(O I'-G+E-1J+(-*E GE-*+-'1HE H(O 1G*+0Ez

]C[  T/EF(GG+E-() H( OE) T1SE) (- OE) f'( )(1 -(G()1/+E +-G'//+/ T1/1 S(-(/1/ OE) GEX/E)

1-*(/+E/() TE/ (O I'-G+E-1J+(-*E GE-*+-'1HE H(O 1G*+0E b+-GO'F(-HEN (- )' G1)EN OE)

 T1SE) -(G()1/+E) T1/1 T/(T1/1/ 1O 1G*+0E T1/1 )' '*+O+i1G+,-RN 1)g GEJE OE) f'(

 T'(H1- )(/ 1*/+X'+HE) H+/(G*1J(-*(N E H+)*/+X'+HE) )(Ss- '-1 X1)( /1iE-1XO(N 1O

1G*+0Ez F

]*[  OE) IO'PE) -(*E) H( (I(G*+0E f'(N (- )' G1)EN )( /(G+X+/g1- E T1S1/g1- TE/ O1

(-1P(-1G+,- E 1X1-HE-E H(O 1G*+0E 1O I+-1O H( )' 0+H1 s*+O;

##F R-3 /34,2-*,>+/3 ./ 0>3 <0:D>3 ./ /</*4,B> <:4:5>3 ; ./0 4,8> ./ ./3*:/+4> @-C5?+ ./ 4/+/5 /+

*:/+4-9 ./ <>52- *>@/5/+4/9 0-3 @,864/3,3 A:/ 3/ 2-+/D/+ 5/38/*4> - 0>3 ,+*5/2/+4>3 ./ 85/*,>3

./C,.>3 - 0- ,+<0-*,6+ =/+/5-0 ./ 0- /*>+>2Q-F M>5 4-+4>9 3, /0 4,8> ./ ./3*:/+4> ,+*0:;/3/ /0 /</*4>

./ 0>3 ,+*5/2/+4>3 ./ 85/*,>3 ./C,.>3 - 0- ,+<0-*,6+ =/+/5-09 0>3 <0:D>3 ./ /</*4,B> <:4:5>3 3/

@-C5Q-+ ./ /34,2-5 /+ 4)52,+>3 +>2,+-0/3F W,9 8>5 /0 *>+45-5,>9 /0 4,8> ./ ./3*:/+4> /U*0:;/3/ /0

/</*4> ./ 0>3 ,+*5/2/+4>3 ./ 85/*,>3 ./C,.>3 - 0- ,+<0-*,6+ =/+/5-09 0>3 <0:D>3 ./ /</*4,B> <:4:5>3

3/ /34,2-5Q-+ /+ 4)52,+>3 5/-0/3 ]3, C,/+ 4/+.5Q-+ A:/ ,+*0:,5 ,+*5/2/+4>3 > ./*5/2/+4>3 <:4:5>3

/+ 0>3 85/*,>3 /38/*Q<,*>3[F

#$F R-3 85>;/**,>+/3 ./ 8-=>3 <:4:5>3 ,+*0:,5?+ 0- 8-54/ ./ 0>3 8-=>3 ./ 4>.- 0- /285/3- A:/ 8:/.-+

3/5 -45,C:,.>3 ./ <>52- .,5/*4-9 > .,345,C:,.>3 3>C5/ C-3/3 5-O>+-C0/3 ; *>@/5/+4/39 -0

Page 263: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 263/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !&#

<:+*,>+-2,/+4> ./0 -*4,B> /+ *:/34,6+F

#%F K:-+.> /0 ,28>54/ /+ 0,C5>3 ./0 -*4,B> +> ,+*0:;- 0- 4>4-0,.-. ./ 0>3 ./3/2C>03>3 - 5/-0,O-5 -+4/3

./ A:/ /34) 85/8-5-.> 8-5- 3: :4,0,O-*,6+ > B/+4-9 0- /34,2-*,6+ ./ 0>3 8-=>3 <:4:5>3 ,+*0:,5?

4-2C,)+ :+- /B-0:-*,6+ ./ 0>3 ./3/2C>03>3 -.,*,>+-0/3 A:/ 3/ /38/5-+ 5/-0,O-5 -+4/3 ./ A:/ /0

-*4,B> /34) 0,34> 8-5- 3: :4,0,O-*,6+ > B/+4-F 734/ /3 /0 *-3>9 8>5 /D/280>9 ./ :+ /.,<,*,> /+

*>+345:**,6+ > ./ :+ 85>;/*4> ./ ./3-55>00> A:/ +> 3/ @-;- 4/52,+-.> 4>.-BQ- ./ /D/*:4-5F

#&F K>+ /0 <,+ ./ /B,4-5 .:80,*,.-./3 /+ 0-3 /34,2-*,>+/39 0>3 <0:D>3 ./ /</*4,B> <:4:5>3 +> ,+*0:,5?+a

]-[  R>3 *>C5>3 85>*/./+4/3 ./ -*4,B>3 A:/ =/+/5-+9 8>5 3: <:+*,>+-2,/+4> *>+4,+:-.>9

/+45-.-3 ./ /</*4,B> A:/ 3>+ /+ C:/+- 2/.,.- ,+./8/+.,/+4/3 ./ 0>3 *>C5>3 85>*/./+4/3

./0 -*4,B> A:/ 3/ /34) B-0>5-+.> ]8>5 /D/280>9 -*4,B>3 <,+-+*,/5>3 4-0/3 *>2> 8-54,.-3 -

*>C5-5[X ;

]C[ R>3 8-=>3 5/0-*,>+-.>3 *>+ >C0,=-*,>+/3 A:/ ;- @-+ 3,.> 5/*>+>*,.-3 *>2> 8-3,B>3 ]8>5

/D/280>9 8-54,.-3 - 8-=-59 8/+3,>+/3 > 85>B,3,>+/3[F

#IF 8E) IO'PE) H( (I(G*+0E I'*'/E) H(X(- )(/ ()*+J1HE)N T1/1 (O 1G*+0E (- G'()*+,-N *(-+(-HE (-

G'(-*1 )' ()*1HE 1G*'1O; $+GU1) ()*+J1G+E-() -E H(X(/h- +-GO'+/ T1SE) E GEX/E) I'*'/E)

f'( T'(H1- *(-(/ )' E/+S(- (-2

]-[  '-1 /(()*/'G*'/1G+,- I'*'/1 (- O1 f'( O1 (JT/()1 -E )( U1 GEJT/EJ(*+HE *EH10g1z E

]C[ H()(JXEO)E) I'*'/E) f'( 01F1- 1 J(PE/1/ E H()1//EOO1/ (O 1G*+0E TE/ (-G+J1 H( )'

-+0(O H( /(-H+J+(-*E E/+S+-1OJ(-*( T/(0+)*E;

#cF M:/34> A:/ 0>3 <0:D>3 ./ /</*4,B> <:4:5>3 3/ /34,2-+ 8-5- /0 -*4,B> /+ 3: /34-.> -*4:-09 /0 B-0>5 ./:3> +> 5/<0/D-5?a

]-[  8-=>3 <:4:5>39 > -@>55>3 ./ *>34/3 5/0-*,>+-.>3 *>+ /00>3 ]8>5 /D/280> 5/.:**,>+/3 ./

8/53>+-0[9 > C,/+ >45>3 C/+/<,*,>3 A:/ 3/ /38/5/ *>+3/=:,5 ./ :+- 5//345:*4:5-*,6+ <:4:5-9

/+ 0- A:/ 0- /285/3- +> 3/ @-;- *>285>2/4,.> @-34- /0 2>2/+4>X >

]C[ ./3/2C>03>3 <:4:5>3 A:/ B-;-+ - 2/D>5-5 > ./3-55>00-5 /0 -*4,B> 8>5 /+*,2- ./ 3: +,B/0 ./

5/+.,2,/+4> >5,=,+-02/+4/ 85/B,34>9 +, 4-28>*> 0>3 C/+/<,*,>3 <:4:5>3 5/0-*,>+-.>3 *>+

4-0/3 ./3/2C>03>3F

#HF \+- 5//345:*4:5-*,6+ /3 :+ 85>=5-2- ./ -*4:-*,6+9 80-+,<,*-.> ; *>+45>0-.> 8>5 0- =/5/+*,-9 *:;>

/</*4> /3 :+ *-2C,> 3,=+,<,*-4,B> /+ /0 *>2/4,.> 00/B-.> - *-C> 8>5 0- /285/3- > /+ 0- 2-+/5- ./

00/B-5 0- =/34,6+ ./ 0- 2,32-F 7+ 0- NZK #I9 M5>B,3,>+/39 1*4,B>3 K>+4,+=/+4/3 ; M-3,B>3

K>+4,+=/+4/39 3/ /38/*,<,*- *:?+.> 0- /285/3- /34? *>285>2/4,.- /+ :+- 5//345:*4:5-*,6+F

$PF K:-+.> :+- /285/3- 3/ /+*:/+45- *>285>2/4,.- /+ :+- 5//345:*4:5-*,6+9 /3 85>C-C0/ A:/

Page 264: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 264/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !&$

-0=:+>3 ./ 3:3 -*4,B>3 A:/./+ -</*4-.>3 8>5 /0 ./3-55>00> ./ 0- 2,32-F \+- B/O A:/ 0- /285/3- 3/

,+B>0:*5/ /+ 4-0 85>*/3> ./ 5//345:*4:5-*,6+a

]-[  -0 85>*/./5 - ./4/52,+-5 /0 B-0>5 ./ :3>9 0-3 /34,2-*,>+/3 ./ 8-=>3 ; *>C5>3 <:4:5>3

5/<0/D-5?+ 0>3 -@>55>3 ./ *>34/3 ; ./2?3 C/+/<,*,>3 /38/5-.>3 ./ 0- 5//345:*4:5-*,6+ ]-

8-54,5 ./ 0>3 85/3:8:/34>3 ; 85>+634,*>3 <,+-+*,/5>3 2?3 5/*,/+4/2/+4/ -85>C-.>3 8>5 0-

=/5/+*,-[X ;

]C[  0-3 /34,2-*,>+/3 ./ 0-3 3-0,.-3 ./ /</*4,B> <:4:5-3 8>5 0- 5//345:*4:5-*,6+ /+ 3Q9 3/ 45-4-5?+

*>2> :+- 85>B,3,6+ 8>5 5//345:*4:5-*,6+9 3/=b+ 0> /34-C0/*,.> /+ 0- NZK #I9 M5>B,3,>+/39

 1*4,B>3 K>+4,+=/+4/3 ; M-3,B>3 K>+4,+=/+4/3F

7+ /0 7D/280> % ./0 18)+.,*/ 1 3/ ,0:345- /0 /</*4> ./ :+- 5//345:*4:5-*,6+ <:4:5- /+ 0>3 *?0*:0>3 ./0

 B-0>5 ./ :3>F

$GF J-34- A:/ 0- /285/3- 00/B/ - *-C> 0>3 ./3/2C>03>3 ./ *-8,4-0 A:/ 2/D>5/+ > ./3-55>00/+ 0-3

*-8-*,.-./3 ./ :+ -*4,B> 8>5 /+*,2- ./ 3: +,B/0 ./ 5/+.,2,/+4> >5,=,+-02/+4/ 85/B,34>9 0-3

/34,2-*,>+/3 ./ 0>3 <0:D>3 <:4:5>3 ./ /</*4,B> +> ,+*0:,5?+ 0-3 /34,2-*,>+/3 ./ /+45-.-3 ./ /</*4,B>

A:/ 3/ /38/5/+ ./ .,*@>3 ./3/2C>03>3 ./ *-8,4-0 ]B)-3/ /0 7D/280> & ./0 18)+.,*/ 1[F

$!F R-3 /34,2-*,>+/3 ./ 0>3 <0:D>3 <:4:5>3 ./ /</*4,B> ,+*0:,5?+9 +> >C34-+4/9 0>3 ./3/2C>03>3 <:4:5>3

+/*/3-5,>3 8-5- 2-+4/+/5 > *>+3/5B-5 /0 -*4,B> /+ 3: +,B/0 ./ 5/+.,2,/+4> >5,=,+-02/+4/ 85/B,34>F

$#F 81) ()*+J1G+E-() H( OE) IO'PE) H( (I(G*+0E I'*'/E) -E H(X(- +-GO'+/2

]-[  O1) (-*/1H1) E )1O+H1) H( (I(G*+0E TE/ 1G*+0+H1H() H( I+-1-G+1G+,-z -+

]C[  OE) T1SE) E GEX/E) TE/ (O +JT'()*E )EX/( O1) S1-1-G+1);

$$F R>3 <0:D>3 ./ /</*4,B> /34,2-.>3 5/<0/D-5?+ 0-3 @,864/3,3 A:/ 3/-+ *>@/5/+4/3 *>+ 0- 2-+/5- ./

./4/52,+-5 /0 4,8> ./ ./3*:/+4>F `/ >45- 2-+/5-9 /0 /</*4> 85>.:*,.> 8>5 -0=:+-3 ./ 0-3 @,864/3,3

3/ .:80,*-5Q- > 3/ ,=+>5-5Q-F M:/34> A:/ /0 B-0>5 ./0 .,+/5> /+ /0 4,/28> /34? ;- *>+3,./5-.> -0

./3*>+4-5 0-3 /34,2-*,>+/3 ./ <0:D>3 ./ /</*4,B> <:4:5>39 4-0/3 <0:D>3 ./ /</*4,B> /U*0:;/+ 0-3

/+45-.-3 ; 3-0,.-3 ./ /</*4,B> 8>5 -*4,B,.-./3 ./ <,+-+*,-*,6+F `/0 2,32> 2>.>9 8:/34> A:/ /0 4,8>

./ ./3*:/+4> 3/ ./4/52,+- -+4/3 ./ ,28:/34>39 0>3 <0:D>3 ./ /</*4,B> 3/ @-+ ./ /34,2-5 4-2C,)+

-+4/3 ./0 ,28:/34> 3>C5/ 0-3 =-+-+*,-3F

$%F 81 ()*+J1G+,- H( OE) IO'PE) -(*E) H( (I(G*+0E 1 /(G+X+/ bE (0(-*'1OJ(-*( 1 T1S1/RN TE/ O1

(-1P(-1G+,- E 1X1-HE-E H( '- 1G*+0E 1O I+-1O H( )' 0+H1 s*+ON H(X( X1)1/)( (- O1 G1-*+H1H

f'( O1 (JT/()1 ()T(/1 EX*(-(/ H( O1 0(-*1 H(O (O(J(-*EN (- '-1 */1-)1GG+,- O+X/( (-*/( '-

GEJT/1HE/ F '- 0(-H(HE/ 1H(G'1H1J(-*( +-IE/J1HE)N '-1 0(i )( U1F1- H(H'G+HE OE)

GE)*() ()*+J1HE) H( O1 (-1P(-1G+,- E 1X1-HE-E;

Page 265: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 265/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !&%

$&F R- /34,2-*,6+ ./ 0>3 <0:D>3 +/4>3 ./ /</*4,B> - 5/*,C,59 > - 8-=-59 8>5 0- /+-D/+-*,6+ > -C-+.>+> ./

:+ -*4,B> -0 <,+-0 ./ 3: B,.- b4,09 3/ @-5? ./ <>52- 3,2,0-5 - 0- ./4/52,+-*,6+ ./0 85/*,> ./ B/+4-

+/4> ./0 -*4,B>9 /U*/84> A:/9 -0 ./4/52,+-5 4-0/3 <0:D>3a

]-[  0- /285/3- :4,0,O-5? 0>3 85/*,>3 A:/9 /+ 0- </*@- ./ 0- /34,2-*,6+9 /34)+ B,=/+4/3 8-5-

-*4,B>3 ./ +-4:5-0/O- 3,2,0-59 A:/ @-;-+ 00/=-.> -0 <,+-0 ./ 3: B,.- b4,0 ; A:/ @-;-+ /34-.>

>8/5-+.> /+ *>+.,*,>+/3 3,2,0-5/3 - 0-3 ./0 -*4,B> A:/ 3/ /34? /B-0:-+.>X ;

]C[  /3>3 85/*,>3 3/ -D:34-5?+ 8>5 0>3 /</*4>3 A:/ 8:/.-+ *-:3-50/3 4-+4> 0>3 ,+*5/2/+4>3

./C,.>3 - 0- ,+<0-*,6+ =/+/5-09 *>2> 0>3 ,+*5/2/+4>3 > .,32,+:*,>+/3 ./ 0>3 85/*,>3

/38/*Q<,*>3X +> >C34-+4/9 3, 4-+4> 0-3 /34,2-*,>+/3 ./ 0>3 <0:D>3 ./ /</*4,B> <:4:5>39

85>*/./+4/3 ./0 <:+*,>+-2,/+4> *>+4,+:-.> ./0 -*4,B>9 *>2> /0 4,8> ./ ./3*:/+4>9

/U*0:;/+ /0 /</*4> ./ 0- ,+<0-*,6+ =/+/5-0 ./ 0- /*>+>2Q-9 /34/ /</*4> @-C5? ./ 3/5 /U*0:,.>

4-2C,)+ ./ 0- /34,2-*,6+ ./ 0>3 <0:D>3 ./ /</*4,B> 85>*/./+4/3 ./ 0- /+-D/+-*,6+ >

-C-+.>+>F

^ 0 : D > 3 . / / < / * 4 , B > < : 4 : 5 > 3 / + 2 > + / . - / U 4 5 - + D / 5 -

$IF R>3 <0:D>3 ./ /</*4,B> <:4:5>3 3/ /34,2-5?+ /+ 0- 2,32- 2>+/.- /+ 0- A:/ B-;-+ - 3/5 =/+/5-.>39 ;3/ -*4:-0,O-5?+ :4,0,O-+.> /0 4,8> ./ ./3*:/+4> -85>8,-.> 8-5- /3- 2>+/.-F R- /285/3- *>+B/54,5?/0 B-0>5 -*4:-0 >C4/+,.> ./ /34/ 85>*/3> :4,0,O-+.> /0 4,8> ./ *-2C,> /+ 0- </*@- ./0 C-0-+*/ ]4-0*>2> 3/ ./3*5,C/ /+ 0- NZK !G9 7</*4>3 ./ 0-3 f-5,-*,>+/3 /+ 0>3 (,8>3 ./ K-2C,> ./ 0- _>+/.-7U45-+D/5-[F

 ( , 8 > . / . / 3 * : / + 4 >

$cF &O *+TE E *+TE) H( H()G'(-*E 1 '*+O+i1/ H(X(- )(/ *EJ1HE) 1-*() H( +JT'()*E)N F )( H(X(-()GES(/ *+TE) f'( /(IO(P(- O1) (01O'1G+E-() 1G*'1O() H(O J(/G1HE )EX/( (O 01OE/ *(JTE/1O

H(O H+-(/E F OE) /+()SE) ()T(GgI+GE) H(O 1G*+0E; &O *+TE E *+TE) H( H()G'(-*E -E H(X(-

/(IO(P1/ OE) /+()SE) f'( F1 U1F1- EG1)+E-1HE OE) 1P')*() (- O1) ()*+J1G+E-() H( OE) IO'PE) H(

(I(G*+0E I'*'/E);

$HF \+ 4,8> A:/ 8:/./ 5/<0/D-5 8/5</*4-2/+4/ 0-3 /B-0:-*,>+/3 -*4:-0/3 ./0 B-0>5 ./0 .,+/5> /+ /0

4,/28>9 ; 0>3 5,/3=>3 /38/*Q<,*>3 ./0 -*4,B>9 /3 /0 5/+.,2,/+4> A:/ 0>3 ,+B/53>5/3 /U,=,5Q-+9 3,

/3*>=,/5-+ :+- ,+B/53,6+ A:/ =/+/5-3/ <0:D>3 ./ /</*4,B> ./ ,28>54/39 .,345,C:*,6+ /+ /0 4,/28> ;

8/5<,0 ./ 5,/3=>9 /A:,B-0/+4/3 - 0>3 A:/ 0- /285/3- /38/5- >C4/+/5 ./0 -*4,B> /+ *:/34,6+F 734/ 4,8>./ ./3*:/+4> 3/ /34,2- - 8-54,5 ./0 4,8> ,280Q*,4> /+ 0-3 45-+3-**,>+/3 -*4:-0/3 ./ 2/5*-.> 8-5-

-*4,B>3 3,2,0-5/39 > C,/+ *>2> /0 *>34/ ./ *-8,4-0 85>2/.,> 8>+./5-.> ./ :+- /285/3- A:/ 4:B,/5-

:+ 3>0> -*4,B> ]> :+- *-54/5- ./ -*4,B>3[ 3,2,0-5/3 -0 A:/ 3/ /34? *>+3,./5-+.>9 /+ 4)52,+>3 ./

8>4/+*,-0 ./ 3/5B,*,> ; 5,/3=> 3>8>54-.>F

Page 266: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 266/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !&&

%PF K:-+.> /0 4,8> /38/*Q<,*> *>55/38>+.,/+4/ - :+ -*4,B> +> /34? .,38>+,C0/ /+ /0 2/5*-.>9 0-

/285/3- 4/+.5? A:/ :3-5 >45>3 3:C5>=-.>3 8-5- /34,2-5 /0 4,8> ./ ./3*:/+4>F 70 >CD/4,B> /3

/34,2-59 4-+ C,/+ *>2> 3/- 8>3,C0/9 0- /B-0:-*,6+ ./0 2/5*-.> 8-5-a

]-[  /0 B-0>5 4/28>5-0 ./0 .,+/5> 8-5- 0>3 /D/5*,*,>3 A:/ 5/34-+ @-34- /0 <,+-0 ./ 0- B,.- b4,0 ./0

-*4,B>X ;

]C[  0>3 5,/3=>3 ./ A:/ 0>3 <0:D>3 ./ /</*4,B> <:4:5>3 8:/.-+ .,</5,59 /+ ,28>54/ > .,345,C:*,6+

4/28>5-09 ./ 0-3 /34,2-*,>+/3 5/-0,O-.-3F

%GF K>2> 8:+4> ./ 8-54,.-9 0- /285/3- 8:/./ 4/+/5 /+ *:/+4- 0>3 3,=:,/+4/3 4,8>3a

]-[  /0 *>34/ ./ *-8,4-0 85>2/.,> 8>+./5-.> ./ 0- /285/3-9 :4,0,O-+.> 4)*+,*-3 4-0/3 *>2> /0

2>./0> ./ 85/*,>3 ./ 0>3 -*4,B>3 <,+-+*,/5>3X

]C[  /0 4,8> ,+*5/2/+4-0 8-5- 0>3 85)34-2>3 >C4/+,.>3 8>5 0- /285/3-X ;

]*[  >45>3 4,8>3 ./ 2/5*-.> 8-5- 85)34-2>3F

%!F 734>3 4,8>3 3/ -D:34-5?+a

]-[  8-5- 5/<0/D-5 0- <>52- /+ A:/ /0 2/5*-.> 8>.5Q- B-0>5-5 0>3 5,/3=>3 /38/*Q<,*>3 -3>*,-.>3

*>+ 0>3 <0:D>3 ./ /</*4,B> 85>;/*4-.>3X ;

]C[ 8-5- /U*0:,5 0>3 5,/3=>3 A:/ +> 3/-+ 5/0/B-+4/3 5/38/*4> ./ 0>3 <0:D>3 ./ /</*4,B>

85>;/*4-.>3F

W/ *>+3,./5-5?+ 4-2C,)+ >45>3 5,/3=>3 *>2> /0 5,/3=>E8-Q39 /0 5,/3=> ./ 4,8> ./ *-2C,>9 /0 5,/3=> ./

85/*,>3 ; /0 5,/3=> ./ <0:D>3 ./ /</*4,B>F

%#F M-5- /B,4-5 .:80,*,.-./39 /0 4,8> ./ ./3*:/+4> +> 5/<0/D-5? +,+=b+ 5,/3=> A:/ ;- 3/ @-;- 4/+,.> /+*:/+4- -0 -D:34-5 0-3 /34,2-*,>+/3 ./ <0:D>3 ./ /</*4,B> <:4:5>3F

%$F 70 4,8> ./ ./3*:/+4> /3 ,+./8/+.,/+4/ ./ 0- /345:*4:5- ./ *-8,4-0 2-+4/+,.- 8>5 0- /285/3-9 ;

4-2C,)+ ./ 0- 2-+/5- /+ A:/ 0- /285/3- @- <,+-+*,-.> 0- *>285- ./0 -*4,B>9 8>5A:/ 0>3 <0:D>3

<:4:5>3 A:/ 3/ /38/5-+ ./0 2,32> +> ./8/+./+ ./ 0- <>52- /+ A:/ 3/ @-;- <,+-+*,-.> 3:

-.A:,3,*,6+F

%%F W, /0 *?0*:0> ./0 4,8> ./ ./3*:/+4> 3/ @- @/*@> ./38:)3 ./ ,28:/34>39 3/ @-C5? ./ -D:34-5 8-5- A:/

5/<0/D/ /0 4,8> -+4/3 ./ ,28:/34>3F

%&F R- /285/3- :4,0,O-5?9 +>52-02/+4/9 :+ b+,*> 4,8> ./ ./3*:/+4> 8-5- 0- /34,2-*,6+ ./0 B-0>5 ./ :3>

./ :+ -*4,B>F N> >C34-+4/9 0- /285/3- 8>.5? :4,0,O-5 4,8>3 ./ ./3*:/+4> .,</5/+4/3 8-5- .,</5/+4/3

8/5,>.>3 ./ 4,/28>9 3,/285/ ; *:-+.> /0 B-0>5 ./ :3> 3/- 3/+3,C0/ - 0-3 .,</5/+*,-3 /+ 0>3 5,/3=>3

8-5- 0>3 .,</5/+4/3 /D/5*,*,>3 > - 0- /345:*4:5- 4/28>5-0 ./ 0>3 4,8>3 ./ ,+4/5)3F

d7KeNeKZ_Z7N(e k f1Red1KZmN `7 R1 Mtd`Z`1 Med `7(7dZede

Page 267: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 267/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !&I

%IF 7+ 0>3 8?55-<>3 %c - &# 3/ /34-C0/*/+ 0>3 5/A:,3,4>3 8-5- /0 5/*>+>*,2,/+4> ; 0- B-0>5-*,6+ ./ 0-3

8)5.,.-3 8>5 ./4/5,>5> ./ 0>3 -*4,B>3 ,+.,B,.:-0/3F M>5 3: 8-54/9 /+ 0>3 8?55-<>3 cc - H# 3/

/38/*,<,*-+ /34>3 2,32>3 5/A:,3,4>3 8-5- /0 *-3> ./ :+,.-./3 =/+/5-.>5-3 ./ /</*4,B>F

%cF &O +JTE/*( (- O+X/E) H( '- 1G*+0E H(X( )(/ /(H'G+HE U1)*1 f'( 1OG1-G( )' +JTE/*(

/(G'T(/1XO( )+N F ),OE )+N ()*( +JTE/*( /(G'T(/1XO( () J(-E/ f'( (O +JTE/*( (- O+X/E); 51O

/(H'GG+,- )( H()+S-1 GEJE Te/H+H1 TE/ H(*(/+E/E;

%HF 81 Te/H+H1 TE/ H(*(/+E/E H(X( )(/ /(GE-EG+H1 +-J(H+1*1J(-*( GEJE '- S1)*E (- O1 G'(-*1

H( /()'O*1HE)N 1 J(-E) f'( (O 1G*+0E (- G'()*+,- )( GE-*1X+O+G( TE/ )' 01OE/ /(01OE/+i1HEN

1TO+G1-HE E*/1 #"% bTE/ (P(JTOE (- 0+/*'H H(O */1*1J+(-*E 1O*(/-1*+0E T(/J+*+HE (- O1

#"% 3VN "-JE0+O+i1HE <1*(/+1OR; 81) Te/H+H1) TE/ H(*(/+E/EN (- OE) 1G*+0E) /(01OE/+i1HE)N

H(X(- */1*1/)( GEJE '-1 H+)J+-'G+,- H( O1 /(01OE/+i1G+,- T/1G*+G1H1 )+S'+(-HE O1 #E/J1

"-*(/-1G+E-1O H( %E-*1X+O+H1H T(/*+-(-*(;

&PF R- 8)5.,.- 8>5 ./4/5,>5> *>55/38>+.,/+4/ - :+ -*4,B> 5/B-0>5,O-.> 3/ 5/*>+>*/5? .,5/*4-2/+4/

*>2> :+ *-5=> *>+45- 0-3 5/3/5B-3 8>5 5/B-0>5,O-*,6+9 /+ 0- 2/.,.- A:/ +> /U*/.- ./0 ,28>54/ ./

0- 2,32- A:/ @- 3,.> =/+/5-.> 8>5 /0 -*4,B> /+ *:/34,6+F R- 8-54/ A:/ /U*/.- ./0 ,28>54/

85/B,-2/+4/ 5/B-0>5,O-.>9 3/5? 5/*>+>*,.- *>2> :+ *-5=> /+ 0- *:/+4- ./ 5/3:04-.>3 ./0 /D/5*,*,>F

&GF &- (O G1)E H( f'( (O +JTE/*( ()*+J1HE H( '-1 Te/H+H1 TE/ H(*(/+E/E )(1 J1FE/ f'( (O

+JTE/*( (- O+X/E) H(O 1G*+0E GE- (O f'( )( /(O1G+E-1N O1 (JT/()1 H(X( T/EG(H(/ 1 /(GE-EG(/

'- T1)+0E )+N F ),OE )+N () EXO+S1H1 1 (OOE TE/ E*/1 #E/J1 "-*(/-1G+E-1O H( %E-*1X+O+H1H;

&!F 5/1) (O /(GE-EG+J+(-*E H( '-1 Te/H+H1 TE/ H(*(/+E/EN OE) G1/SE) TE/ H(T/(G+1G+,- H(O

1G*+0E H(X(- )(/ EXP(*E H(O 1P')*( GE//()TE-H+(-*(N GE- (O I+- H( H+)*/+X'+/ (O +JTE/*( (-

O+X/E) /(0+)1HE H(O 1G*+0EN J(-E) )' (0(-*'1O 01OE/ /()+H'1ON H( '-1 IE/J1 )+)*(Jh*+G1 1 OE

O1/SE H(O T(/+EHE f'( GE-)*+*'F1 )' 0+H1 s*+O /()*1-*(;

&#F K:-+.> 3/ 85>*/.- - 5/*>+>*/5 :+- 8)5.,.- 8>5 ./4/5,>5>9 3/ ./4/52,+-5?+ 4-2C,)+ 0>3 -*4,B>3 ;

8-3,B>3 8>5 ,28:/34>3 .,</5,.>3 5/0-*,>+-.>3 *>+ /00-9 2/.,-+4/ *>28-5-*,6+ ./0 ,28>54/ /+

0,C5>3 5/B,3-.> *>+ 3: C-3/ <,3*-0 *>55/38>+.,/+4/9 3,=:,/+.> 0- NZK G!9 Z28:/34> 3>C5/ 0-3

L-+-+*,-3 ]B)-3/ /0 7D/280> # ./0 18)+.,*/ 1[F

\NZ`1`7W L7N7d1`ed1W 7 7^7K(Zfe

&$F 7+ 0>3 8?55-<>3 &% - H# 3/ /34-C0/*/+ 0>3 5/A:,3,4>3 8-5- ,./+4,<,*-5 0-3 :+,.-./3 =/+/5-.>5-3 ./

/</*4,B>9 - 0-3 A:/ 8/54/+/*/+ 0>3 -*4,B>39 ; 8-5- ./4/52,+-5 /0 ,28>54/ /+ 0,C5>3 ; 0-3 @,8>4)4,*-3

8)5.,.-3 8>5 ./4/5,>5> A:/ *>55/38>+./+ - 0-3 2,32-3F

Page 268: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 268/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !&c

0./-52926+627- ./ )+ '-2.+. 1/-/$+.#$+ ./ /9/652A# + )+ &'/ ?/$5/-/6/ '- ./5/$,2-+.# +652A# 

&%F :+ (j+)*+(/1 1OSs- +-H+G+E H( f'( '- 1G*+0E T'(H( U1X(/ H(*(/+E/1HE )' 01OE/N (O +JTE/*(

/(G'T(/1XO( H(O J+)JE )( H(X(/h ()*+J1/ T1/1 (O 1G*+0E +-H+0+H'1OJ(-*( GE-)+H(/1HE; :+

-E I'(/1 TE)+XO( ()*+J1/ (O +JTE/*( /(G'T(/1XO( H(O 1G*+0E +-H+0+H'1ON O1 (JT/()1 H(X(

 T/EG(H(/ 1 H(*(/J+-1/ (O +JTE/*( /(G'T(/1XO( H( O1 '-+H1H S(-(/1HE/1 H( (I(G*+0E 1 O1 f'(

*1O (O(J(-*E T(/*(-(G(;

&&F 70 ,28>54/ 5/*:8/5-C0/ ./ :+ ./4/52,+-.> -*4,B> +> 8>.5? 3/5 ./4/52,+-.> *:-+.>a

]-[  /0 B-0>5 ./ :3> ./0 -*4,B> +> 8:/.- /34,2-53/ *>2> */5*-+> - 3: 85/*,> ./ B/+4- +/4> ]8>5

/D/280>9 *:-+.> 0>3 <0:D>3 ./ /</*4,B> <:4:5>3 8>5 /0 <:+*,>+-2,/+4> *>+4,+:-.> ./0

-*4,B> +> 8:/./+ ./4/52,+-53/ 8>5 3/5 ,+3,=+,<,*-+4/3[X ;

]C[  /0 -*4,B> +> =/+/5/ /+45-.-3 ./ /</*4,B> 8>5 3: <:+*,>+-2,/+4> *>+4,+:> A:/ 3/-+ /+

C:/+- 2/.,.- ,+./8/+.,/+4/3 ./ 0-3 85>.:*,.-3 8>5 >45>3 -*4,B>3F 7+ /34>3 *-3>39 /0 B-0>5

./ :3> ;9 8>5 4-+4>9 /0 ,28>54/ 5/*:8/5-C0/9 8:/./+ ./4/52,+-53/ 360> - 8-54,5 ./ 0- :+,.-.

=/+/5-.>5- ./ /</*4,B> - 0- A:/ 8/54/+/*/ /0 -*4,B> /+ *:/34,6+F

7 D / 2 8 0 >

\+- /285/3- 2,+/5- 8>3// :+ </55>*-55,0 85,B-.> 8-5- 45-+38>54-5 /0 2,+/5-0 A:/ /U45-/F 70

</55>*-55,0 360> 8:/./ 3/5 B/+.,.> 8>5 3: B-0>5 *>2> *@-4-55- ;9 8>5 3Q 2,32>9 +> =/+/5- /+45-.-3 ./

/</*4,B> 8>5 3: <:+*,>+-2,/+4> *>+4,+:> A:/ 3/-+ ,+./8/+.,/+4/3 ./ 0-3 /+45-.-3 A:/ *>55/38>+./+ -

>45>3 -*4,B>3 ./ 0- 2,+-F

N> /3 8>3,C0/ /34,2-5 /0 ,28>54/ 5/*:8/5-C0/ ./0 </55>*-55,0 85,B-.>9 8>5A:/ /0 B-0>5 ./ :3> ./02,32> +> 8:/./ ./4/52,+-53/9 -:+A:/ 85>C-C0/2/+4/ 3/- .,</5/+4/ ./ 3: B-0>5 *>2> *@-4-55-F M>5 4-+4>9

0- /285/3- 4/+.5? A:/ /34,2-5 /0 ,28>54/ 5/*:8/5-C0/ ./ 0- :+,.-. =/+/5-.>5- ./ /</*4,B> - 0- A:/

8/54/+/*/ /0 </55>*-55,09 /34> /39 0- 2,+- /+ 3: *>+D:+4>F

&IF K>2> @- A:/.-.> ./<,+,.> /+ /0 8?55-<> %9 0- :+,.-. =/+/5-.>5- ./ /</*4,B> ./ :+ -*4,B> /3 /0

=5:8> 2?3 8/A:/V> ./ -*4,B>3 A:/9 ,+*0:;/+.> -0 2,32>9 =/+/5/ /+45-.-3 ./ /</*4,B> 8>5 3:

<:+*,>+-2,/+4> *>+4,+:-.>9 A:/ 3/-+ ,+./8/+.,/+4/3 ./ 0-3 /+45-.-3 85>.:*,.-3 8>5 >45>3 -*4,B>3

> =5:8>3 ./ -*4,B>3F R- ,./+4,<,*-*,6+ ./ :+- :+,.-. =/+/5-.>5- ./ /</*4,B> ,280,*- 0- 5/-0,O-*,6+

./ D:,*,>3F W, +> 3/ 8:/./ 00/=-5 - ./4/52,+-5 /0 ,28>54/ 5/*:8/5-C0/ ./ :+ -*4,B> ,+.,B,.:-09 0-

/285/3- @- ./ 85>*/./5 - ,./+4,<,*-5 /0 *>+D:+4> 2?3 8/A:/V> ./ -*4,B>3 A:/9 ,+*0:;/+.> -0

2,32>9 =/+/5/ /+45-.-3 ,+./8/+.,/+4/3 ./ /</*4,B> 8>5 3: <:+*,>+-2,/+4> *>+4,+:-.>F

7 D / 2 8 0 >

\+- /285/3- ./ -:4>C:3/3 .- 3/5B,*,> C-D> *>+45-4> - :+ 2:+,*,8,> A:/ 0/ /U,=/ :+>3 *,/54>3

Page 269: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 269/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !&H

3/5B,*,>3 2Q+,2>3 8-5- *-.- :+- ./ 0-3 *,+*> 5:4-3 3/8-5-.-3 A:/ *:C5/F R>3 -*4,B>3 ./34,+-.>3 - *-.- :+-

./ 0-3 5:4-39 ; 0>3 <0:D>3 ./ /</*4,B> A:/ 3/ ./5,B-+ ./ *-.- :+- ./ /00-39 8:/./+ 3/5 ,./+4,<,*-.>3 8>5

3/8-5-.>F \+- ./ 0-3 5:4-3 >8/5- *>+ 8)5.,.-3 3,=+,<,*-4,B-3F

M:/34> A:/ 0- /285/3- +> 4,/+/ 0- >8*,6+ ./ 3:38/+./5 +,+=:+- ./ 0-3 5:4-3 *:C,/54-3 8>5 0>3

-:4>C:3/39 /0 2/+>5 +,B/0 ./ /+45-.-3 ./ /</*4,B> ,./+4,<,*-C0/3 8>5 /0 <:+*,>+-2,/+4> *>+4,+:>9 A:/ 3>+

,+./8/+.,/+4/3 ./ 0-3 /+45-.-3 85>*/./+4/3 ./ >45>3 -*4,B>3 > =5:8>3 ./ -*4,B>39 3>+ 0-3 /+45-.-3 ./

/</*4,B> =/+/5-.-3 8>5 0-3 *,+*> 5:4-3 /+ *>+D:+4>F R- :+,.-. =/+/5-.>5- ./ /</*4,B> 8-5- *-.- 5:4- /3 0-

/285/3- ./ -:4>C:3/39 *>+3,./5-.- *>2> :+ 4>.>F

&cF R>3 *>C5>3 ./5,B-.>3 ./0 :3> 3>+ /+45-.-3 ./ /</*4,B> ; >45>3 2/.,>3 /A:,B-0/+4/3 -0 /</*4,B>9

5/*,C,.>3 ./ 3:D/4>3 -D/+>3 - 0- /285/3-F M-5- ,./+4,<,*-5 3, 0>3 *>C5>3 85>*/./+4/3 ./ :+ -*4,B> ]>

=5:8> ./ -*4,B>3[ 3>+ 3,=+,<,*-4,B-2/+4/ ,+./8/+.,/+4/3 ./ 0>3 *>C5>3 -3>*,-.>3 - >45>3 -*4,B>3 ]>

=5:8>3 ./ -*4,B>3[9 0- /285/3- *>+3,./5-5? .,</5/+4/3 <-*4>5/3 ,+*0:;/+.> 0- <>52- ./ *>+45>0-5

8>5 8-54/ ./ 0- =/5/+*,- 0-3 >8/5-*,>+/3 ./ 0- /285/3- ]8>5 /D/280>9 8>5 85>.:*4>9 0Q+/-9 +/=>*,>9

0>*-0,O-*,6+ ,+.,B,.:-09 8>5 .,345,4>3 > 5/=,>+/3 > ./ *:-0A:,/5 >45- <>52-[9 > *62> -.>84- 0-

=/5/+*,- ./ 0- /285/3- 0-3 ./*,3,>+/3 ./ *>+4,+:-5 >8/5-+.> > /+-D/+-5 > -C-+.>+-5 3:3 -*4,B>3 >

0-3 >8/5-*,>+/3 /+ 0-3 A:/ /34? ,280,*-.-F 70 7D/280> G ./0 18)+.,*/ 19 85>8>5*,>+- -0=:+>3

/D/280>3 ./ ,./+4,<,*-*,6+ ./ :+,.-./3 =/+/5-.>5-3 ./ /</*4,B>F

&HF :+ (j+)*( '- J(/G1HE 1G*+0E T1/1 OE) T/EH'G*E) (O1XE/1HE) TE/ '- 1G*+0E E '- S/'TE H(

1G*+0E)N '-E ' E*/E) H(X(- )(/ +H(-*+I+G1HE) GEJE '-1 '-+H1H S(-(/1HE/1 H( (I(G*+0EN

+-GO')E )+ 1OS'-E E *EHE) OE) T/EH'G*E) (O1XE/1HE) )( '*+O+i1- +-*(/-1J(-*(; &- ()*( G1)EN

H(X( )(/ '*+O+i1H1 O1 J(PE/ ()*+J1G+,- f'( O1 S(/(-G+1 TE)(1 )EX/( OE) T/(G+E) I'*'/E) H(

J(/G1HE H( OE) T/EH'G*E)2

]-[  T1/1 H(*(/J+-1/ (O 01OE/ H( ')E H( *1O '-+H1H S(-(/1HE/1 H( (I(G*+0EN G'1-HE )(

()*+J(- O1) (-*/1H1) I'*'/1) H( (I(G*+0E f'( *(-S1- /(O1G+,- GE- (O ')E +-*(/-E H(

OE) T/EH'G*E)z F

]C[  T1/1 H(*(/J+-1/ (O 01OE/ H( ')E H( E*/1) '-+H1H() S(-(/1HE/1) H( (I(G*+0E (- O1

(JT/()1N 1O T/EG(H(/ 1 ()*+J1/ O1) )1O+H1) I'*'/1) H( (I(G*+0E f'( *(-S1- /(O1G+,-

GE- (O ')E +-*(/-E H( OE) T/EH'G*E);

IPF  1:+A:/ :+- 8-54/ > 0- 4>4-0,.-. ./ 0- 85>.:**,6+ /0-C>5-.- 8>5 :+ -*4,B> > :+ =5:8> ./ -*4,B>39

3/- :4,0,O-.- 8>5 >45-3 :+,.-./3 ./ 0- 2,32- /285/3- ]8>5 /D/280> 85>.:*4>3 /+ :+ /34-.>

,+4/52/.,> ./+45> ./0 85>*/3> 85>.:*4,B>[9 4-0 -*4,B> > =5:8> ./ /00>3 <>52-5?+ :+- :+,.-.

=/+/5-.>5- ./ /</*4,B>9 3,/285/ ; *:-+.> 0- /285/3- 8:/.- B/+./5 /34- 85>.:**,6+ /+ :+

Page 270: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 270/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !IP

2/5*-.> -*4,B>F 734> /3 -3Q 8>5A:/ 4-0 -*4,B>9 > =5:8> ./ /00>39 8>.5Q- =/+/5-5 /+45-.-3 ./ /</*4,B>

8>5 3: <:+*,>+-2,/+4> *>+4,+:>9 A:/ 3/5Q-+ ,+./8/+.,/+4/3 ./0 5/34> ./ 0>3 -*4,B>3 > =5:8>3 ./

-*4,B>3 ./ 0- /+4,.-.F 10 :4,0,O-5 ,+<>52-*,6+ C-3-.- /+ 0>3 85/3:8:/34>3 > 85>+634,*>3 ./ 4,8>

<,+-+*,/5>9 A:/ 3/ 5/0-*,>+/+ *>+ /34- :+,.-. =/+/5-.>5- ./ /</*4,B>9 0- /285/3- 85>*/./5? -

-D:34-5 3: ,+<>52-*,6+ 3, 0>3 85/*,>3 ,+4/5+>3 ./ 45-+3</5/+*,- +> 5/<0/D-5-+ 0- 2/D>5 /34,2-*,6+

A:/ 0- =/5/+*,- 8>3//9 -*/5*- ./ 0>3 85/*,>3 <:4:5>3 ./ 2/5*-.> A:/ -</*4-5?+ - 0- :+,.-. /+

*:/34,6+F

IGF 81) '-+H1H() S(-(/1HE/1) H( (I(G*+0E H(X(- ()*1/ +H(-*+I+G1H1) (- *EHE) OE) (P(/G+G+E) H(

IE/J1 UEJESe-(1N F IE/J1H1) TE/ (O J+)JE 1G*+0E E *+TE) H( 1G*+0E)N )1O0E f'( )(

 P')*+I+f'( '- G1JX+E;

I!F W, :+- /285/3- ./4/52,+- A:/ :+ -*4,B> 8/54/+/*/9 /+ /34/ /D/5*,*,>9 - :+- :+,.-. =/+/5-.>5- ./

/</*4,B> .,</5/+4/ ./ 0- A:/ 0/ *>55/38>+.Q- /+ /D/5*,*,>3 -+4/5,>5/39 > A:/ 0>3 4,8>3 ./ -*4,B>3 A:/

3/ -=5/=-+ 8-5- <>52-5 0- :+,.-. /+ *:/34,6+ @-+ *-2C,-.>9 /0 8?55-<> GGI ./ /34- N>52- /U,=/

85>8>5*,>+-5 *,/54-3 ,+<>52-*,>+/3 3>C5/ /34- :+,.-.9 /+ /0 *-3> ./ A:/ 0- 2,32- @-;-

/U8/5,2/+4-.> :+- 8)5.,.- 8>5 ./4/5,>5>9 > :+- 5/B/53,6+ 3>C5/ 0>3 ./4/5,>5>3 ./ B-0>5

5/*>+>*,.>3 -+4/5,>52/+4/9 3,/285/ A:/ 0>3 ,28>54/3 *>55/38>+.,/+4/3 3/-+ 3,=+,<,*-4,B>3 /+ 0>3

/34-.>3 <,+-+*,/5>3 ./ 0- /285/3- /+ 3: *>+D:+4>F

0,?#$5/ $/6'?/$+8)/ / 2,?#$5/ /- )28$#* ./ '-+ '-2.+. 1/-/$+.#$+ ./ /9/652A# 

I#F 70 ,28>54/ 5/*:8/5-C0/ ./ :+- :+,.-. =/+/5-.>5- ./ /</*4,B>9 /3 /0 B-0>5 2-;>5 /+45/ /0 85/*,> ./

 B/+4- +/4> ./ 0- :+,.-. ; 3: B-0>5 ./ :3>F M-5- 0>3 85>863,4>3 ./ ./4/52,+-5 /0 ,28>54/5/*:8/5-C0/ ./ 0- :+,.-. =/+/5-.>5- ./ /</*4,B>9 0-3 5/</5/+*,-3 /</*4:-.-3 /+ 0>3 8?55-<>3 G& - %&

- ƒ-*4,B>„ > ƒ-*4,B>3„ 3/ /+4/+./5?+ @/*@-3 - 0- ƒ:+,.-. =/+/5-.>5- ./ /</*4,B>„F

I$F &O +JTE/*( (- O+X/E) H( '-1 '-+H1H S(-(/1HE/1 H( (I(G*+0E H(X( H(*(/J+-1/)( H( J1-(/1

GEU(/(-*( GE- O1 IE/J1 (- f'( )( G1OG'O1 (O +JTE/*( /(G'T(/1XO( H( O1 J+)J1;

I%F 70 ,28>54/ /+ 0,C5>3 ./ :+- :+,.-. =/+/5-.>5- ./ /</*4,B>a

]-[  360> ,+*0:,5? /0 ,28>54/ /+ 0,C5>3 ./ -A:/00>3 -*4,B>3 A:/ 8:/.-+ 3/5 -45,C:,.>3

.,5/*4-2/+4/ > .,345,C:,.>3 3/=b+ :+ *5,4/5,> 5-O>+-C0/ ; *>@/5/+4/9 - 0- :+,.-.

=/+/5-.>5- ./ /</*4,B> ; A:/ B- - =/+/5-5 0-3 /+45-.-3 <:4:5-3 ./ /</*4,B> A:/ @-;-+ 3,.>

4/+,.-3 /+ *:/+4- - 0- @>5- ./ *-0*:0-5 /0 B-0>5 ./ :3> ./ 0- *,4-.- :+,.-.X ;

]C[ +> ,+*0:,5? /0 ,28>54/ /+ 0,C5>3 ./ +,+=b+ 8-3,B> 5/*>+>*,.>9 - 2/+>3 A:/ /0 ,28>54/

5/*:8/5-C0/ ./ 0- :+,.-. =/+/5-.>5- ./ /</*4,B> /+ *:/34,6+ +> 8:.,/5- 3/5 ./4/52,+-.>

3,+ 4/+/5 /+ *:/+4- 4-0 8-3,B>F

Page 271: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 271/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !IG

734> /3 -3Q 8>5A:/ /0 85/*,> ./ B/+4- +/4> ; /0 B-0>5 ./ :3>9 8-5- 0- :+,.-. =/+/5-.>5- ./ /</*4,B>9

3/ *-0*:0-+ *>+ /U*0:3,6+ ./ 0>3 <0:D>3 ./ /</*4,B> 5/0-*,>+-.>3 *>+ -*4,B>3 A:/ +> <>52/+ 8-54/ ./ 0-

:+,.-. /+ *:/34,6+9 ; ./ 0>3 8-3,B>3 A:/ ;- @-+ 3,.> >CD/4> ./ 5/*>+>*,2,/+4> /+ 0>3 /34-.>3 <,+-+*,/5>3

]B)-+3/ 0>3 8?55-<>3 !$ ; #&[F

I&F K:-+.> 3/ -=5:8-+ 0>3 -*4,B>3 8-5- /B-0:-5 3: 5/*:8/5-C,0,.-.9 /3 ,28>54-+4/ ,+*0:,5 /+ 0- :+,.-.

=/+/5-.>5- ./ /</*4,B> 0- 4>4-0,.-. ./ 0>3 -*4,B>3 A:/ =/+/5-+ 0-3 *>55,/+4/3 5/0/B-+4/3 ./ /+45-.-3

./ /</*4,B>9 8>5 3: <:+*,>+-2,/+4> *>+4,+:>F `/ >45- <>52-9 0- :+,.-. =/+/5-.>5- ./ /</*4,B>

8:/./ -8-5/*/5 *>2> 80/+-2/+4/ 5/*:8/5-C0/9 *:-+.> ./ @/*@> 3/ @- 85>.:*,.> :+- 8)5.,.- 8>5

./4/5,>5>F 7+ -0=:+>3 *-3>3 3/ .- 0- *,5*:+34-+*,- ./ A:/9 -:+A:/ ./4/52,+-.>3 -*4,B>3 8:/.-+

*>+45,C:,5 - 0- 85>.:**,6+ ./ 0>3 <0:D>3 ./ /</*4,B> <:4:5>3 ./ 0- :+,.-. =/+/5-.>5- ./ /</*4,B>9 +>

8:/./+ 3/5 .,345,C:,.>3 *>+ :+ *5,4/5,> 5-O>+-C0/ ; *>@/5/+4/ - 0- :+,.-. /+ *:/34,6+F 734/ 8:/./

3/5 /0 *-3> ./0 <>+.> ./ *>2/5*,> ; ./ 0>3 -*4,B>3 *>2:+/3 ./ 0- *>28-VQ-9 *>2> 0- 3/./ 3>*,-0F

7+ 0>3 8?55-<>3 IH - cI 3/ /U80,*- *62> 45-4-5 4-0/3 -*4,B>39 -0 *>285>C-5 3, 0- :+,.-. =/+/5-.>5-

./ /</*4,B> @- ./4/5,>5-.> 3: B-0>5F

IIF M>.5Q- 3/5 +/*/3-5,> 4>2-5 /+ *>+3,./5-*,6+ *,/54>3 8-3,B>3 *:-+.> 3/ /34) *-0*:0-+.> /0 ,28>54/

5/*:8/5-C0/ ./ 0- :+,.-. =/+/5-.>5- ./ /</*4,B>F 734> 8:/./ >*:55,5 *:-+.> 0- /+-D/+-*,6+ >

-C-+.>+> ./ 0- *,4-.- :+,.-. >C0,=:/ -0 *>285-.>5 - -3:2,5 :+ 8-3,B>F 7+ 4-0 *-3>9 /0 85/*,> ./

 B/+4- +/4> ]> /0 <0:D> ./ /</*4,B> 85>*/./+4/ ./ 0- /+-D/+-*,6+ > -C-+.>+> -0 <,+-0 ./ 3: B,.- b4,0[

./ 0- :+,.-. =/+/5-.>5- ./ /</*4,B> /34-5Q- <>52-.>9 *>+D:+4-2/+4/9 8>5 /0 85/*,> ./ B/+4- +/4>

/34,2-.> 8-5- 0>3 -*4,B>3 ./ 0- :+,.-. ; 8-5- /0 8-3,B>9 2/+>3 0>3 *>34/3 *>55/38>+.,/+4/3 - 0-/+-D/+-*,6+ > -C-+.>+>F K>+ /0 >CD/4,B> ./ 00/B-5 - *-C> :+- *>28-5-*,6+ A:/ 4/+=- 3/+4,.>

/+45/ /0 ,28>54/ /+ 0,C5>3 ; /0 ,28>54/ 5/*:8/5-C0/ ./ 0- :+,.-. =/+/5-.>5- ./ /</*4,B>9 /3 85/*,3>

./.:*,5 /0 ,28>54/ /+ 0,C5>3 ./0 8-3,B> -0 *-0*:0-5 4-+4> /0 B-0>5 ./ :3> ./ 0- :+,.-.9 *>2> 3:

,28>54/ /+ 0,C5>3F

7 D / 2 8 0 >

\+- /285/3- /U80>4- :+- 2,+- /+ *,/54> 8-Q39 .>+./ 0- 0/=,30-*,6+ /U,=/ A:/ 0>3 85>8,/4-5,>3

5/@-C,0,4/+ 0>3 4/55/+>3 *:-+.> 0- >8/5-*,6+ ./ 0- 2,32- @-;- <,+-0,O-.>F 70 *>34/ ./ 5/@-C,0,4-*,6+ ,+*0:;/

0- 5/8>3,*,6+ ./ 0-3 *-8-3 ./ 4,/55- A:/ @:C> A:/ /U45-/5 ./ 0- 2,+- -+4/3 ./ A:/ 0- /U80>4-*,6+

*>2/+O-5-F M>5 /3>9 @- 3,.> 5/*>+>*,.- :+- 85>B,3,6+ 8-5- *:C5,5 0>3 *>34/3 ./ 5/8>3,*,6+ ./3./ /0

2>2/+4> /+ A:/ 3/ A:,46 0- 4,/55- ]5/@-C,0,4-*,6+[F 70 ,28>54/ ./ 0- 85>B,3,6+ @- 3,.> 5/*>+>*,.> *>2>

8-54/ ./0 *>34/ ./ 0- 2,+-9 ; /34? 3,/+.> ./85/*,-.> - 0> 0-5=> ./ 0- B,.- b4,0 ./ 0- 2,+-F 70 ,28>54/ /+

0,C5>3 ./ 0- 85>B,3,6+ 8>5 5/@-C,0,4-*,6+ /3 ./ %PP9 A:/ /3 ,=:-0 -0 B-0>5 -*4:-0 ./ 0>3 *>34/3 ./

Page 272: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 272/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !I!

5/@-C,0,4-*,6+F

R- /285/3- /34? *>285>C-+.> /0 8>3,C0/ ./4/5,>5> ./ B-0>5 ./ 0- 2,+-F R- :+,.-. =/+/5-.>5- ./

/</*4,B> ./ 0- 2,+- /39 85/*,3-2/+4/9 0- 85>8,- 2,+- /+ 3: *>+D:+4>F R- /285/3- @- 5/*,C,.> B-5,-3 ></54-3

./ *>285- ./ 0- 2,+-9 *>+ 85/*,>3 -05/./.>5 ./ cPP9 8-5- *:;- ./4/52,+-*,6+ 3/ @- 4/+,.> /+ *:/+4- /0

@/*@> ./ A:/ /0 *>285-.>5 4>2-5? 8-5- 3Q 0- >C0,=-*,6+ ./ 5/34-:5-5 0>3 4/55/+>3F R>3 *>34/3 ./

/+-D/+-*,6+ > -C-+.>+> ./ 0- 2,+- 4,/+/+ :+ ,28>54/ ,+3,=+,<,*-+4/F 70 B-0>5 ./ :3> ./ 0- 2,+- /3

-85>U,2-.-2/+4/ G !PP9 /U*0:;/+.> 0>3 *>34/3 ./ 5/@-C,0,4-*,6+F 70 ,28>54/ /+ 0,C5>3 ./ 0- 2,+- /3 ./ G

PPPF

70 85/*,> ./ B/+4- +/4> ./ 0- :+,.-. =/+/5-.>5- ./ /</*4,B> /3 ./ cPPF 7+ /34/ ,28>54/ 3/ @-

*>+3,./5-.> /0 ,28-*4> ./ 0>3 *>34/3 ./ 5/@-C,0,4-*,6+F K>2> *>+3/*:/+*,- ./ /00>9 /0 B-0>5 ./ :3> ./ 0-

:+,.-. =/+/5-.>5- ./ /</*4,B> 3/ ./4/52,+- 45-3 *>+3,./5-5 0>3 *>34/3 ./ 0- 5/@-C,0,4-*,6+9 ; 3/ 8:/./

/34,2-5 /+ :+ ,28>54/ ./ IPP ]G !PP 2/+>3 %PP[F 70 ,28>54/ /+ 0,C5>3 ./ 0- :+,.-. =/+/5-.>5- ./ /</*4,B>

-3*,/+./ - %PP9 ,=:-0 -0 ,28>54/ /+ 0,C5>3 ./ 0- 2,+- ]G PPP[ 2/+>3 /0 ,28>54/ /+ 0,C5>3 ./ 0- 85>B,3,6+

8-5- *>34/3 ./ 5/@-C,0,4-*,6+ ]%PP[F

IcF M>5 5-O>+/3 85?*4,*-39 /0 ,28>54/ 5/*:8/5-C0/ ./ :+- :+,.-. =/+/5-.>5- ./ /</*4,B> 3/ ./4/52,+-9

/+ >*-3,>+/39 ./38:)3 ./ 4/+/5 /+ *>+3,./5-*,6+ 0>3 -*4,B>3 A:/ +> 3>+ 8-54/ ./ 0- 85>8,- :+,.-.

]8>5 /D/280>9 *:/+4-3 - *>C5-5 : >45>3 -*4,B>3 <,+-+*,/5>3[ > 8-3,B>3 A:/ ;- @-+ 3,.> >CD/4> ./

5/*>+>*,2,/+4> /+ 0>3 /34-.>3 <,+-+*,/5>3 ]8>5 /D/280>9 8-54,.-3 - 8-=-59 8/+3,>+/3 ; >45-3

85>B,3,>+/3[F 7+ 4-0/3 *-3>39 /0 ,28>54/ /+ 0,C5>3 ./ 0- :+,.-. =/+/5-.>5- ./ /</*4,B> 3/ B/5?

-:2/+4-.> 8>5 /0 ,28>54/ /+ 0,C5>3 ./ 4-0/3 -*4,B>3 ; 3/ B/5? .,32,+:,.> 8>5 /0 ,28>54/ /+ 0,C5>3./ 4-0/3 8-3,B>3F

^ > + . > . / * > 2 / 5 * , >

IHF 70 <>+.> ./ *>2/5*,> A:/ -8-5/*/ /+ :+- -.A:,3,*,6+ 5/85/3/+4- :+ 8-=> 5/-0,O-.> 8>5 /0

*>285-.>59 -+4,*,8-+.> :+- 8-54/ ./ 0>3 C/+/<,*,>3 /*>+62,*>3 - 5/*,C,5 /+ /0 <:4:5>F 734>3

C/+/<,*,>3 /*>+62,*>3 <:4:5>39 8:/./+ 85>*/./5 ./ 0- 3,+/5=,- A:/ 3/ 85>.:*/ /+45/ 0>3 -*4,B>3

,./+4,<,*-C0/3 -.A:,5,.>3 >9 4-2C,)+9 85>*/./5 ./ >45>3 -*4,B>3 A:/9 ,+.,B,.:-02/+4/9 +> *:280/+

0-3 *>+.,*,>+/3 8-5- 3: 5/*>+>*,2,/+4> /+ 0>3 /34-.>3 <,+-+*,/5>3F 70 <>+.> ./ *>2/5*,> +>

8:/./ =/+/5-5 <0:D>3 ./ /</*4,B> ,+./8/+.,/+4/2/+4/ ./ >45>3 -*4,B>3 > =5:8>3 ./ -*4,B>39 ; 8>5 0>

4-+4> +> 8:/./ ./4/52,+-53/ /0 ,28>54/ 5/*:8/5-C0/ ./0 2,32> *>2> -*4,B> ,+.,B,.:-0F K>2>

*>+3/*:/+*,- ./ /00>9 3, @:C,/5- ,+.,*,>3 ./ A:/ /0 <>+.> ./ *>2/5*,> @- 8/5.,.> B-0>59 /0 ,28>54/

5/*:8/5-C0/ 3/ ./4/52,+-5? 8-5- 0- :+,.-. =/+/5-.>5- ./ /</*4,B> - 0- A:/ 8/54/+/O*- /0 *,4-.>

<>+.> ./ *>2/5*,>F 734/ ,28>54/ 3/ *>28-5-5Q-9 - *>+4,+:-*,6+9 *>+ /0 ,28>54/ /+ 0,C5>3 ./ /34-

Page 273: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 273/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !I#

:+,.-. =/+/5-.>5- ./ /</*4,B> ;9 /B/+4:-02/+4/9 3/ 85>*/./5? - 5/*>+>*/5 0- 8)5.,.- 8>5 ./4/5,>5>

*>55/38>+.,/+4/9 ./ -*:/5.> *>+ /0 8?55-<> ccF

cPF  6O GEJT/EX1/ )+ '-1 '-+H1H S(-(/1HE/1 H( (I(G*+0E )( U1 H(*(/+E/1HEN O1 (JT/()1 H(X(

 T/EG(H(/ 1 H(*(G*1/ )+ (O IE-HE H( GEJ(/G+EN /(O1*+0E 1 O1 G+*1H1 '-+H1HN U1 )+HE EXP(*E H(

/(GE-EG+J+(-*E (- OE) ()*1HE) I+-1-G+(/E); :+ ()*( I'(/1 (O G1)EN O1 (JT/()1 H(X(2

]-[  OO(01/ 1 G1XE '-1 GEJT/EX1G+,- •H( 1X1PE 1//+X1€N ()*E ()N O1 (JT/()1 H(X(2

N2P  H(*(/J+-1/ )+ (O +JTE/*( (- O+X/E) H(O IE-HE H( GEJ(/G+E T'(H( )(/

H+)*/+X'+HEN H( '-1 IE/J1 /1iE-1XO( F GEU(/(-*(N 1 O1 '-+H1H S(-(/1HE/1 H(

(I(G*+0E f'( )( ()*e GE-)+H(/1-HEz F

N22P  1 GE-*+-'1G+,-N GEJT1/1/ (O +JTE/*( /(G'T(/1XO( H( O1 '-+H1H S(-(/1HE/1H( (I(G*+0EN f'( )( ()*e GE-)+H(/1-HEN GE- )' +JTE/*( (- O+X/E) bf'( +-GO'+/h(-*E-G() (O +JTE/*( (- O+X/E) H(O IE-HE H( GEJ(/G+E f'( O( U1F1 TEH+HEGE//()TE-H(/ (- (O /(T1/*ERN T/EG(H+(-HE 1 /(GE-EG(/ O1) (0(-*'1O() Te/H+H1) TE/ H(*(/+E/E H( 1G'(/HE GE- (O Th//1IE [[;

N222P 

1 GE-*+-'1G+,-N GEJT1/1/ (O +JTE/*( /(G'T(/1XO( H( O1 '-+H1H S(-(/1HE/1

H( (I(G*+0EN f'( )( ()*e GE-)+H(/1-HEN GE- )' +JTE/*( (- O+X/E) bf'( +-GO'+/h

(-*E-G() (O +JTE/*( (- O+X/E) H(O IE-HE H( GEJ(/G+E f'( O( U1F1 TEH+HE

GE//()TE-H(/ (- (O /(T1/*ERN T/EG(H+(-HE 1 /(GE-EG(/ O1) (0(-*'1O()

 Te/H+H1) TE/ H(*(/+E/E H( 1G'(/HE GE- (O Th//1IE [[;

81 (JT/()1 H(X(/h OO(01/ 1 G1XE ()*1 )(S'-H1 (*1T1 H( O1 GEJT/EX1G+,- •H( 1X1PE 1//+X1€

+-GO')E )+ -E I'(/1 TE)+XO( H+)*/+X'+/N H( '-1 IE/J1 /1iE-1XO( F GEU(/(-*(N '-1 T1/*( H(O )1OHE H(O

IE-HE H( GEJ(/G+E 1 O1 '-+H1H S(-(/1HE/1 H( (I(G*+0E f'( )( ()*e GE-)+H(/1-HE;  

]C[  )+N 1O (P(G'*1/ O1 GEJT/EX1G+,- •H( 1X1PE 1//+X1€N -E T'H+(/1 1*/+X'+/)( (O +JTE/*(

(- O+X/E) H(O IE-HE H( GEJ(/G+EN H( '-1 IE/J1 /1iE-1XO( F GEU(/(-*(N 1 O1 '-+H1H

 S(-(/1HE/1 H( (I(G*+0E f'( )( ()*e GE-)+H(/1-HEN O1 (JT/()1 H(X(/h OO(01/ 1 G1XE

1H+G+E-1OJ(-*( '-1 GEJT/EX1G+,- •H( 1//+X1 1X1PE€N ()*E ()N H(X(/h T/EG(H(/ 12

],[  H(*(G*1/ O1 '-+H1H S(-(/1HE/1 H( (I(G*+0E Jh) T(f'({1N f'( GE-*(-S1 1 O1

'-+H1H f'( )( ()*e GE-)+H(/1-HEN F 1 O1 f'( )( T'(H1 H+)*/+X'+/N H( '-1

IE/J1 /1iE-1XO( F GEU(/(-*(N (O +JTE/*( (- O+X/E) H(O IE-HE H( GEJ(/G+Eb)(/g1 O1 '-+H1H S(-(/1HE/1 H( (I(G*+0E •)'T(/+E/ €z F

],,[  1 GE-*+-'1G+,-N GEJT1/1/ (O +JTE/*( /(G'T(/1XO( H( O1 '-+H1H S(-(/1HE/1

H( (I(G*+0E )'T(/+E/ GE- )' +JTE/*( (- O+X/E) bf'( +-GO'+/h (-*E-G() (O 01OE/

H(O IE-HE H( GEJ(/G+E f'( O( U1F1 TEH+HE GE//()TE-H(/ (- (O /(T1/*ERN

 T/EG(H+(-HE 1 /(GE-EG(/ O1) (0(-*'1O() Te/H+H1) TE/ H(*(/+E/E H(O 01OE/ H(

Page 274: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 274/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !I$

1G'(/HE GE- (O Th//1IE [[;

cGF K-.- B/O A:/ 3/ /34) *>285>C-+.> /0 8>3,C0/ ./4/5,>5> ./ B-0>5 ./ :+- :+,.-. =/+/5-.>5- ./

/</*4,B>9 0- /285/3- *>+3,./5-5? /0 <>+.> ./ *>2/5*,> -3>*,-.> *>+ 0>3 <0:D>3 ./ /</*4,B> <:4:5>3

A:/ 8:/.- =/+/5-5 0- *,4-.- :+,.-.F W, /3 8>3,C0/ .,345,C:,5 - 0- :+,.-.9 ./ <>52- 5-O>+-C0/ ;

*>@/5/+4/9 :+- 8-54/ > 0- 4>4-0,.-. ./0 3-0.> ./0 <>+.> ./ *>2/5*,>9 0- /285/3- -80,*-5?

b+,*-2/+4/ 0- *>285>C-*,6+ ƒ./ -C-D> -55,C-„F W, +> <:/5- 8>3,C0/ .,345,C:,5 /0 <>+.> ./ *>2/5*,>

./ <>52- 5-O>+-C0/ ; *>@/5/+4/9 0- /285/3- -80,*-5? 4-+4> 0- *>285>C-*,6+ ƒ./ -C-D> -55,C-„

*>2> ƒ./ -55,C- -C-D>„ ]B)-3/ /0 7D/280> I ./0 18)+.,*/ 1[F

c!F R- *>285>C-*,6+ ƒ./ -C-D> -55,C-„ 3,5B/ 8-5- -3/=:5-5 A:/ 0- /285/3- 85>*/./ - 5/*>+>*/5

*:-0A:,/5 8)5.,.- 8>5 ./4/5,>5> A:/ 8:/.- *>55/38>+./5 - 0- :+,.-. =/+/5-.>5- ./ /</*4,B>9

,+*0:;/+.> 0- 5/0-*,>+-.- *>+ /0 <>+.> ./ *>2/5*,> A:/ 3/ 0/ @-;- 8>.,.> .,345,C:,5 3>C5/ :+-

C-3/ 5-O>+-C0/ ; *>@/5/+4/F W, +> 8:.,/3/ @-*/53/ 4-0 .,345,C:*,6+ /+ 0- *>285>C-*,6+ ƒ./ -C-D>

-55,C-„9 /+4>+*/3 0- *>2C,+-*,6+ ./ 0-3 *>285>C-*,>+/3 ƒ./ -C-D> -55,C-„ ; ƒ./ -55,C- -C-D>„

-3/=:5-5Q- A:/ 0- /285/3- 5/*>+>*/a

]-[  /+ 85,2/5 0:=-59 0-3 8)5.,.-3 8>5 ./4/5,>5> A:/ @-;- 4/+,.> 0- :+,.-. =/+/5-.>5- ./

/</*4,B>9 3,+ *>+3,./5-5 /0 /</*4> A:/ 0-3 2,32-3 @-;-+ 8>.,.> 4/+/5 /+ /0 B-0>5 ./0 <>+.>

./ *>2/5*,>X ;

]C[  - *>+4,+:-*,6+9 0-3 8>3,C0/3 8)5.,.-3 8>5 ./4/5,>5> 5/0-*,>+-.-3 *>+ /0 <>+.> ./ *>2/5*,>F

M:/34> A:/ 0- /285/3- -80,*-9 /+ 85,2/5 0:=-59 0- *>285>C-*,6+ ƒ./ -C-D> -55,C-„ - 4>.>3

0>3 -*4,B>3 A:/ 8:/.-+ @-C/5 3:<5,.> 8)5.,.-3 8>5 ./4/5,>5>9 *:-0A:,/5 /B/+4:-0 8)5.,.-8>5 ./4/5,>5> A:/ 3/- ./4/*4-.- 8-5- 0- :+,.-. =/+/5-.>5- ./ /</*4,B> 3:8/5,>59 /+ 0-

8>34/5,>5 *>285>C-*,6+ ƒ./ -55,C- -C-D>„9 /34-5? 5/0-*,>+-.- b+,*-2/+4/ *>+ /0 <>+.> ./

*>2/5*,> ./ /3- :+,.-. 3:8/5,>5F

c#F W, 3/ -80,*- 0- *>285>C-*,6+ ƒ./ -55,C- -C-D>„9 0- /285/3- 4/+.5? A:/ ./4/52,+-5 <>52-02/+4/ /0

,28>54/ 5/*:8/5-C0/ ./ 0- :+,.-. =/+/5-.>5- ./ /</*4,B> 3:8/5,>59 - 2/+>3 A:/ 3/ 4/+=- :+-

/B,./+*,- *0-5- ./ A:/ +> /U,34- 5,/3=> ./ 8)5.,.- 8>5 ./4/5,>5> /+ /3- :+,.-. 3:8/5,>5 ]B)-3/ /0

8?55-<> G![F

Page 275: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 275/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !I%

 1 * 4 , B > 3 * > 2 : + / 3 . / 0 - * > 2 8 - V Q -

c$F R>3 -*4,B>3 *>2:+/3 ./ 0- *>28-VQ- 3>+ 0>3 A:/ *>55/38>+./+ =/+)5,*-2/+4/ - 4>.-3 0-3

>8/5-*,>+/3 ./ 0- /285/3- > ./ 0-3 .,B,3,>+/39 4-0/3 *>2> /0 /.,<,*,> A:/ *>+34,4:;/ 0- 3/./ 3>*,-09

/0 /A:,8-2,/+4> ,+<>52?4,*> ./ :3> *>2b+ > /0 */+45> ./ ,+B/34,=-*,6+ ./ 0- /285/3-F R-

/345:*4:5- ./ 0- /285/3- /3 0- A:/ ./4/52,+- 3, :+ -*4,B> /+ 8-54,*:0-5 *:280/ 0- ./<,+,*,6+ ./

-*4,B> *>2b+ ./ 0- *>28-VQ-9 *>+ 5/</5/+*,- - :+- :+,.-. =/+/5-.>5- ./ /</*4,B> /+ 8-54,*:0-5F R-

*-5-*4/5Q34,*- *0-B/ ./ 0>3 -*4,B>3 *>2:+/3 /3 A:/ +> =/+/5-+ /+45-.-3 ./ /</*4,B> ./ <>52-

,+./8/+.,/+4/ *>+ 5/38/*4> - >45>3 -*4,B>3 > =5:8>3 ./ -*4,B>39 ; A:/ 3: ,28>54/ /+ 0,C5>3 +>

8:/./ 3/5 /+4/5-2/+4/ .,345,C:,.> - 0- :+,.-. =/+/5-.>5- ./ /</*4,B> A:/ 3/ /34) *>+3,./5-+.>F

c%F M:/34> A:/ 0>3 -*4,B>3 *>2:+/3 ./ 0- *>28-VQ- +> =/+/5-+ /+45-.-3 ./ /</*4,B> 8>5 /00>3 2,32>39

/0 ,28>54/ 5/*:8/5-C0/ ./ :+ -*4,B> *>2b+ 8-54,*:0-52/+4/ *>+3,./5-.>9 +> 8:/./ 3/5 *-0*:0-.> -

2/+>3 A:/ 0- =/5/+*,- @-;- ./*,.,.> /+-D/+-50> > -C-+.>+-50>F K>2> *>+3/*:/+*,- ./ /34>9 3,

/U,34/ -0=b+ ,+.,*,> ./ A:/ /0 -*4,B> *>2b+ 8:/./ @-C/5 ./4/5,>5-.> 3: B-0>59 /0 ,28>54/

5/*:8/5-C0/ ./ 5/</5/+*,- 3/5? /0 A:/ *>55/38>+.- - 0- :+,.-. =/+/5-.>5- ./ /</*4,B> - 0- A:/

8/54/+/O*-F 734/ ,28>54/ 5/*:8/5-C0/ 3/ *>28-5-5? *>+ /0 ,28>54/ /+ 0,C5>3 A:/ *>55/38>+.- - 0-

:+,.-. /+ *:/34,6+ ;9 3, 3/ .,/5- :+- 8)5.,.- 8>5 ./4/5,>5>9 3/ 5/*>+>*/5Q- 0- 2,32- ./ -*:/5.>

*>+ 0> /34-C0/*,.> /+ 8?55-<> ccF

c&F  6O GEJT/EX1/ )+ '-1 H(*(/J+-1H1 '-+H1H S(-(/1HE/1 H( (I(G*+0E U1 H(*(/+E/1HE )' 01OE/N

O1 (JT/()1 H(X( T/EG(H(/ 1 +H(-*+I+G1/ *EHE) OE) 1G*+0E) GEJ'-() f'( )( /(O1G+E-(- GE-

H+GU1 '-+H1H; .1/1 G1H1 '-E H( OE) 1G*+0E) GEJ'-() f'( )( U1F1- +H(-*+I+G1HE H( ()*1

IE/J1N O1 (JT/()1 H(X( T/EG(H(/ 1 1TO+G1/ (O Th//1IE [`N ()*E ()2

]-[  )+ (O +JTE/*( (- O+X/E) H(O 1G*+0E GEJs- T'(H( )(/ 1*/+X'+HE H( J1-(/1 /1iE-1XO( F

GEU(/(-*( 1 O1 '-+H1H S(-(/1HE/1 H( (I(G*+0E GE-)+H(/1H1N O1 (JT/()1 H(X(/h

1TO+G1/ )EO1J(-*( O1 GEJT/EX1G+,- •H( 1X1PE 1//+X1€z F

]C[  )+ (O +JTE/*( (- O+X/E) H(O 1G*+0E GEJs- -E T'H+(/1 )(/ 1*/+X'+HE H( J1-(/1

/1iE-1XO( F GEU(/(-*( 1 O1 '-+H1H S(-(/1HE/1 H( (I(G*+0E f'( )( ()*e GE-)+H(/1-HEN

O1 (JT/()1 H(X(/h 1TO+G1/ *1-*E O1 GEJT/EX1G+,- •H( 1X1PE 1//+X1€ GEJE O1

GEJT/EX1G+,- •H( 1//+X1 1X1PE€;

cIF 7+ /0 7D/280> c ./0 18)+.,*/ 1 3/ 8:/./ /+*>+45-5 :+- ,0:345-*,6+ 3>C5/ *62> 45-4-5 0>3 -*4,B>3

*>2:+/3 ./ 0- *>28-VQ-F

"($.2.+ ./ A+)#$ ?#$ ./5/$2#$# ?+$+ '-+ '-2.+. 1/-/$+.#$+ ./ /9/652A# 

ccF $(X( T/EG(H(/)( 1 /(GE-EG(/ '-1 Te/H+H1 TE/ H(*(/+E/E T1/1 '-1 '-+H1H S(-(/1HE/1 H(

Page 276: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 276/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !I&

(I(G*+0E )+N F ),OE )+N )' +JTE/*( /(G'T(/1XO( I'(/1 J(-E/ f'( )' +JTE/*( (- O+X/E); 81

 Te/H+H1 TE/ H(*(/+E/E H(X( )(/ 1*/+X'+H1N 1O EXP(*E H( /(H'G+/ (O 01OE/ H( OE) 1G*+0E) f'(

GEJTE-(- O1 '-+H1HN (- (O )+S'+(-*( E/H(-2

]-[  (- T/+J(/ O'S1/N 1O IE-HE H( GEJ(/G+E f'( (- )' G1)E T'H+(/1 U1X(/)( 1*/+X'+HE 1

O1 '-+H1Hz F

]C[ 1 GE-*+-'1G+,-N 1 OE) H(Jh) 1G*+0E) H( O1 '-+H1HN T/E//1*(1-HE (- I'-G+,- H(O

+JTE/*( (- O+X/E) H( G1H1 '-E H( OE) 1G*+0E) (j+)*(-*() (- O1 '-+H1H;

51O() /(H'GG+E-() (- (O +JTE/*( (- O+X/E)N H( G1H1 '-E H( OE) 1G*+0E) +-H+0+H'1O()N H(X(- )(/

*/1*1H1) GEJE Te/H+H1) TE/ H(*(/+E/E H( OE) J+)JE)N F /(GE-EG+H1) GE-*1XO(J(-*( H( 1G'(/HE

GE- OE ()*1XO(G+HE (- (O Th//1IE Q^; 

cHF  6O 1*/+X'+/ '-1 Te/H+H1 TE/ H(*(/+E/E )(Ss- )( ()*1XO(G( (- (O Th//1IE [[N (O +JTE/*( (-

O+X/E) H( G1H1 1G*+0E -E H(X( )(/ /(H'G+HE TE/ H(X1PE H(O J1FE/ 01OE/ H( (-*/( OE)

)+S'+(-*()2

]-[  )' T/(G+E H( 0(-*1 -(*E b)+ )( T'H+()( H(*(/J+-1/Rz

]C[  )' 01OE/ H( ')E b)+ )( T'H+()( H(*(/J+-1/Rz F

]*[  G(/E;

&O +JTE/*( H( O1 Te/H+H1 TE/ H(*(/+E/E f'( -E )( T'(H1 1*/+X'+/ 1 OE) 1G*+0E) )+S'+(-HE (O G/+*(/+E

1-*(/+E/N )(/h T/E//1*(1HE (-*/( OE) H(Jh) 1G*+0E) f'( GEJTE-(- O1 '-+H1H;  

HPF M>5 *-:3- ./ 3: +-4:5-0/O- 8/*:0,-59 3/ /0,2,+-5?9 /+ 85,2/5 0:=-59 0- 4>4-0,.-. > 8-54/ ./0 <>+.> ./

*>2/5*,> -45,C:,.> - 0- :+,.-. =/+/5-.>5- ./ /</*4,B>9 ; 360> - *>+4,+:-*,6+ 3/ 85>*/./5? -.,32,+:,5 /0 ,28>54/ /+ 0,C5>3 A:/ *>55/38>+.- - 0>3 ./2?3 -*4,B>3 ./ 0- :+,.-.F

HGF W, /+ 0- 85?*4,*- +> @:C,/5- <>52- ./ /34,2-5 /0 ,28>54/ /+ 0,C5>3 ./ *-.- -*4,B> ,+.,B,.:-0 ./ 0-

:+,.-. =/+/5-.>5- ./ /</*4,B>9 /34- N>52- /U,=/ A:/ 3/ @-=- :+ 5/8-54> -5C,45-5,>9 85>55-4/-+.>

0- 8)5.,.- 8>5 ./4/5,>5> /+45/ 0>3 -*4,B>3 ./ .,*@- :+,.-. A:/ 3/-+ .,</5/+4/3 ./0 <>+.> ./

*>2/5*,>9 8:/34> A:/ 4>.>3 /34>3 -*4,B>3 >8/5-+ *>+D:+4-2/+4/F

H!F W, /0 ,28>54/ 5/*:8/5-C0/ ./ :+ -*4,B> ,+.,B,.:-0 +> 8:.,/5- 3/5 ./4/52,+-.> ]B)-3/ /0 8?55-<> &&[a

]-[  3/ 85>*/./5? - 5/*>+>*/5 :+- 8)5.,.- 8>5 ./4/5,>5> 8-5- /0 -*4,B> 3,/285/ A:/ 3: ,28>54/

/+ 0,C5>3 3/- 3:8/5,>5 -0 2-;>5 ,28>54/ /+45/ 3: 85/*,> ./ B/+4- +/4> ; /0 B-0>5 A:/ 0/

*>55/38>+.- 45-3 0- -45,C:*,6+ 5/-0,O-.- 3/=b+ 0>3 85>*/.,2,/+4>3 ./3*5,4>3 /+ 0>3 8?55-<>3

cc ; cHX ;

]C[ +> 3/ 5/*>+>*/5? 8)5.,.- 8>5 ./4/5,>5> -0=:+> 8-5- /0 -*4,B> 3, 0- :+,.-. =/+/5-.>5- ./

/</*4,B> /+ 0- A:/ /34? ,+*0:,.> +> @:C,/5- 3:<5,.> +,+=:+- 8)5.,.- 8>5 ./4/5,>5>F 734> /3

Page 277: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 277/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !II

./ -80,*-*,6+ ,+*0:3> *:-+.> /0 85/*,> ./ B/+4- +/4> ./0 -*4,B> <:/5- 2/+>5 A:/ 3:

,28>54/ /+ 0,C5>3F

7 D / 2 8 0 >

K,/54- 2?A:,+- @- 3:<5,.> :+- -B/5Q-9 8/5> 4>.-BQ- 8:/./ <:+*,>+-59 -:+A:/ +> 4-+ C,/+ *>2> 0>

@-*Q- -+4/3 ./ 3:<5,5 0- 2,32-F 70 85/*,> ./ B/+4- +/4> ./ 0- 2?A:,+- /3 2/+>5 A:/ 3: ,28>54/ /+ 0,C5>3F

R- 2?A:,+- +> 8:/./ =/+/5-5 8>5 3: <:+*,>+-2,/+4> *>+4,+:-.>9 /+45-.-3 ./ /</*4,B> ./ <>52-

,+./8/+.,/+4/F 70 2/+>5 =5:8> ,./+4,<,*-C0/ ./ -*4,B>3 A:/ ,+*0:;/ - 0- 2?A:,+- ; A:/ 8:/./ =/+/5-59 8>5

3: <:+*,>+-2,/+4> *>+4,+:> /+45-.-3 ./ /</*4,B> ./ <>52- ,+./8/+.,/+4/ ./0 5/34>9 /3 0- 0Q+/- ./

85>.:**,6+ /+ 0- A:/ 3/ /+*:/+45- ,+34-0-.-F W/ @- 85>*/.,.> - /34,2-5 /0 ,28>54/ 5/*:8/5-C0/ ./ 0- 0Q+/-

./ 85>.:**,6+ /+ *>+D:+4>9 ; /0 ,28>54/ /34,2-.> @- ./2>345-.> A:/ 0- 2,32- +> @- 3:<5,.> +,+=:+-

8)5.,.- 8>5 ./4/5,>5>F

J,864/3,3 Ga 0>3 85/3:8:/34>3 > 85>+634,*>3 -85>C-.>3 8>5 0- =/5/+*,- +> 5/<0/D-+ +,+=b+ *>285>2,3>9

8>5 8-54/ ./ 0- 2,32-9 8-5- 5//280-O-5 0- 2?A:,+-F

70 ,28>54/ 5/*:8/5-C0/ ./ 0- 2?A:,+-9 ,+.,B,.:-02/+4/ *>+3,./5-.-9 +> 8:/./ /34,2-53/9 8:/34> A:/ /0

 B-0>5 ./ :3> ./ 0- 2,32-a

]-[  8:/./ 3/5 .,</5/+4/ ./ 3: 85/*,> ./ B/+4- +/4>X ;

]C[  8:/./ ./4/52,+-53/ 360> *>+ 5/</5/+*,- - 0- :+,.-. =/+/5-.>5- ./ /</*4,B> - 0- A:/ 8/54/+/*/ 0-

*,4-.- 2?A:,+- ]0- 0Q+/- ./ 85>.:**,6+[F

R- 0Q+/- ./ 85>.:**,6+ +> @- /U8/5,2/+4-.> 8)5.,.- 8>5 ./4/5,>5>9 8>5 0> A:/ 4-28>*> 3/ 5/*>+>*/

./4/5,>5> -0=:+> 8-5- 0- 2?A:,+-F N> >C34-+4/9 0- /285/3- 8:/./ +/*/3,4-5 5/*>+3,./5-5 /0 8/5,>.>85/B,34> 8-5- 3: ./85/*,-*,6+ > /0 2)4>.> 3/=:,.> 8-5- *-0*:0-5 0- 2,32-F 73 8>3,C0/ A:/ 3/- +/*/3-5,>

<,D-5 :+ 8/5,>.> ./ ./85/*,-*,6+ 2/+>59 > :+ 2)4>.> ./ ./85/*,-*,6+ 2?3 -*/0/5-.>9 8-5- 5/<0/D-5 0- B,.-

b4,0 /38/5-.- A:/ 5/34- - 0- 2?A:,+- > 0>3 8-45>+/3 ./ *>+3:2>9 8>5 8-54/ ./ 0- /285/3-9 ./ 0>3 C/+/<,*,>3

/*>+62,*>3 ./5,B-.>3 ./0 /0/2/+4>F

J,864/3,3 !a 0>3 85/3:8:/34>3 > 85>+634,*>3 -85>C-.>3 8>5 0- =/5/+*,- 5/<0/D-+ /0 *>285>2,3> ./ 0-

2,32- 8-5- B/+./5 ; 5//280-O-5 0- 2?A:,+- /+ :+ <:4:5> ,+2/.,-4>F R>3 <0:D>3 ./ /</*4,B> ./5,B-.>3 ./0

<:+*,>+-2,/+4> *>+4,+:> ./0 /0/2/+4>9 @-34- 3: /+-D/+-*,6+ > -C-+.>+>9 3>+ ,+3,=+,<,*-+4/3F

M:/./ /34,2-53/ A:/ /0 B-0>5 ./ :3> ./ 0- 2?A:,+- /34? 2:; */5*-+> - 3: 85/*,> ./ B/+4- +/4>F M>5

4-+4>9 /0 ,28>54/ 5/*:8/5-C0/ ./ 0- 2?A:,+- 8:/./ ./4/52,+-53/ 3,+ 4/+/5 /+ *:/+4- 0- :+,.-. =/+/5-.>5-

./ /</*4,B> - 0- A:/ 8/54/+/*/ ]0- 0Q+/- ./ 85>.:**,6+[F M:/34> A:/ /0 85/*,> ./ B/+4- +/4> ./ 0- 2?A:,+-

/3 2/+>5 A:/ 3: ,28>54/ /+ 0,C5>39 3/ 5/*>+>*/5? :+- 8)5.,.- 8>5 ./4/5,>5> 8-5- /0 /0/2/+4>F

Page 278: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 278/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !Ic

^D; $()T'e) H( f'( U1F1- )+HE 1TO+G1HE) OE) /(f'+)+*E) GE-*(-+HE) (- OE) Th//1IE) [[ F [^NH(X( T/EG(H(/)( 1 /(GE-EG(/ '- T1)+0E TE/ (O +JTE/*( /()*1-*( H( O1 Te/H+H1 TE/ H(*(/+E/E-E 1X)E/X+HE TE/ O1 '-+H1H S(-(/1HE/1 H( (I(G*+0E )+N F ),OE )+N (OOE () EXO+S1*E/+E )(Ss- OE()*1XO(G+HE (- E*/1 #E/J1 "-*(/-1G+E-1O H( %E-*1X+O+H1H;

d7f7dWZmN `7 R1W Mtd`Z`1W `7 f1Red Med `7(7dZede

H$F 7+ 0>3 8?55-<>3 H% - GPG 3/ /34-C0/*/+ 0>3 5/A:,3,4>3 8-5- 85>*/./5 - 5/B/54,5 :+- 8)5.,.- 8>5./4/5,>5>9 A:/ @-;- 3,.> 5/*>+>*,.- *>+ -+4/5,>5,.-. 8-5- :+ -*4,B> > 8-5- :+- :+,.-. =/+/5-.>5-

./ /</*4,B>F 7+ /34>3 8?55-<>3 3/ :4,0,O- /0 4)52,+> ƒ-*4,B>„9 8/5> 0-3 .,38>3,*,>+/3 3>+ -80,*-C0/3

8>5 ,=:-0 - 0>3 -*4,B>3 ,+.,B,.:-0/3 ; - 0-3 :+,.-./3 =/+/5-.>5-3 ./ /</*4,B>F W/ /34-C0/*/+

5/A:,3,4>3 -.,*,>+-0/39 8-5- /0 *-3> ./ 0>3 -*4,B>3 ,+.,B,.:-0/39 /+ 0>3 8?55-<>3 GP! - GP&9 8-5- 0-3

:+,.-./3 =/+/5-.>5-3 ./ /</*4,B> /+ 0>3 8?55-<>3 GPI ; GPc ; 8-5- /0 <>+.> ./ *>2/5*,> /+ 0>3

8?55-<>3 GPH - GG!F

H%F >-1 (JT/()1 H(X( (01O'1/ (- G1H1 I(GU1 H(O X1O1-G(N )+ (j+)*( 1OSs- +-H+G+E H( f'( O1

 Te/H+H1 TE/ H(*(/+E/E /(GE-EG+H1 T1/1 OE) 1G*+0E) (- (P(/G+G+E) 1-*(/+E/() F1 -E (j+)*( E U1

H+)J+-'+HE; :+ (-GE-*/1/1 *1O +-H+G+EN O1 (JT/()1 H(X(/g1 0EO0(/ 1 ()*+J1/ (O +JTE/*(

/(G'T(/1XO( H(O 1G*+0E (- G'()*+,-;

H&F  6O (01O'1/ )+ (j+)*(- +-H+G+E) H( f'( O1 Te/H+H1 TE/ H(*(/+E/E /(GE-EG+H1 (- (P(/G+G+E)

1-*(/+E/() T1/1 '- 1G*+0E F1 -E (j+)*( E U1 H+)J+-'+HEN O1 (JT/()1 H(X( GE-)+H(/1/N GEJE

Jg-+JEN )+ )( H1- 1OS'-1) H( O1) )+S'+(-*() +-H+G1G+E-()2

L'(-*() (j*(/-1) H( +-IE/J1G+,-

]-[  H'/1-*( (O (P(/G+G+EN (O 01OE/ H( J(/G1HE H(O 1G*+0E U1 1'J(-*1HE

)+S-+I+G1*+01J(-*(z

]C[ H'/1-*( (O (P(/G+G+EN U1- *(-+HEN E 01- 1 *(-(/ O'S1/ (- (O I'*'/E +-J(H+1*EN

G1JX+E) )+S-+I+G1*+0E) GE- '- (I(G*E I10E/1XO( T1/1 O1 (JT/()1N /(I(/(-*() 1O

(-*E/-E O(S1ON (GE-,J+GEN *(G-EO,S+GE E H( J(/G1HE (- OE) f'( e)*1 ET(/1N E X+(-

(- (O J(/G1HE 1O f'( ()*h H(H+G1HE (O 1G*+0E (- G'()*+,-z

]*[  H'/1-*( (O (P(/G+G+EN OE) *+TE) H( +-*(/e) ' E*/E) *+TE) H( /(-H+J+(-*E H(O J(/G1HEN

U1- (jT(/+J(-*1HE H(G/(J(-*E) f'( T/EX1XO(J(-*( 1I(G*(- 1O *+TE H( H()G'(-*E

'*+O+i1HE T1/1 G1OG'O1/ (O 01OE/ H( ')E H(O 1G*+0EN H( IE/J1 f'( )' +JTE/*(

/(G'T(/1XO( U1F1 1)G(-H+HE H( IE/J1 )+S-+I+G1*+01z

L'(-*() +-*(/-1) H( +-IE/J1G+,- 

].[  H'/1-*( (O (P(/G+G+E U1- *(-+HE O'S1/N E )( ()T(/1 f'( *(-S1- O'S1/ (- (O I'*'/E

+-J(H+1*EN G1JX+E) )+S-+I+G1*+0E) (- O1 IE/J1 E J1-(/1 (- f'( )( ')1 E )( ()T(/1

Page 279: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 279/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !IH

')1/ (O 1G*+0EN GE- (I(G*E I10E/1XO( )EX/( O1 (JT/()1z (-*/( *1O() G1JX+E) T'(H(-

(-GE-*/1/)( OE) H()(JXEO)E) H( G1T+*1O f'( J(PE/1- E H()1//EOO1- (O 1G*+0E TE/

(-G+J1 H(O -+0(O H( /(-H+J+(-*E E/+S+-1OJ(-*( T/(0+)*EN E X+(- O1 (j+)*(-G+1 H( '-

GEJT/EJ+)E T1/1 +-*(//'JT+/ E /(()*/'G*'/1/ O1 (jTOE*1G+,- 1 O1 f'( e)*(

 T(/*(-(G(z F

]/[  )( H+)TE-( H( (0+H(-G+1 T/EG(H(-*( H( +-IE/J() +-*(/-E) f'( +-H+G1 f'( (O

/(-H+J+(-*E (GE-,J+GE H(O 1G*+0E ()N E 01 1 )(/N J(PE/ f'( (O ()T(/1HE;

HIF R- 0,34- ./ ,+.,*,>3 ./ 8>4/+*,-0/3 5/*:8/5-*,>+/3 ./ 0- 8)5.,.- 8>5 ./4/5,>5> ./0 8?55-<> H& 3,=:/9

/+ /0 <>+.>9 0- ./ ,+.,*,>3 ./ 8>4/+*,-0/3 8)5.,.-3 8>5 ./4/5,>5> 5/*>=,.- /+ /0 8?55-<> HF (-2C,)+

/3 -80,*-C0/ /0 *>+*/84> ./ ,28>54-+*,- 5/0-4,B- - 0- @>5- ./ ./4/52,+-5 3, 0- 8)5.,.- 8>5 ./4/5,>5>9

5/*>+>*,.- 8-5- :+ -*4,B> /+ /D/5*,*,>3 -+4/5,>5/39 3/ @- 5/B/54,.>9 ; 3, 3/ +/*/3,4- *-0*:0-5 ./

+:/B> /0 ,28>54/ 5/*:8/5-C0/ ./0 2,32>F

HcF W, /U,34,/5-+ ,+.,*,>3 ./ A:/ 0- 8)5.,.- 8>5 ./4/5,>5>9 5/*>+>*,.- /+ /D/5*,*,>3 -+4/5,>5/3 8-5- :+

-*4,B>9 ;- +> /U,34/ > @- .,32,+:,.>9 /34> 8:/./ ,+.,*-5 A:/ 0- B,.- b4,0 5/34-+4/9 A:/ /0 2)4>.> ./

-2>54,O-*,6+ > ./85/*,-*,6+ > A:/ /0 B-0>5 5/3,.:-0 +/*/3,4-+ 4-2C,)+ 3/5 5/B,3-.>3 ; -D:34-.>3 ./

-*:/5.> *>+ 0- N>52- Z+4/5+-*,>+-0 ./ K>+4-C,0,.-. A:/ 3/- ./ -80,*-*,6+9 ,+*0:3> *:-+.> /0

,+.,*,> +> 00/B/ - 0- 5/B/53,6+ ./ 0- 8)5.,.- 8>5 ./4/5,>5> ./0 -*4,B>F

HHF $(X( T/EG(H(/)( 1 O1 /(0(/)+,- H( O1 Te/H+H1 TE/ H(*(/+E/E /(GE-EG+H1 T1/1 (O 1G*+0E (-

(P(/G+G+E) 1-*(/+E/() )+N F ),OE )+N )( U1 T/EH'G+HE '- G1JX+E (- O1) ()*+J1G+E-()

'*+O+i1H1)N T1/1 H(*(/J+-1/ (O +JTE/*( /(G'T(/1XO( H(O J+)JEN H()H( f'( )( /(GE-EG+, TE/

sO*+J1 0(i O1 Te/H+H1; :+ ()*( I'(/1 (O G1)EN (O +JTE/*( (- O+X/E) H(O 1G*+0E H(X( )(/

1'J(-*1HE U1)*1 f'( 1OG1-G( )' +JTE/*( /(G'T(/1XO(; 51O +-G/(J(-*E )( H()+S-1 GEJE

/(0(/)+,- H( O1 Te/H+H1 TE/ H(*(/+E/E;

GPPF R- 5/B/53,6+ ./ :+- 8)5.,.- 8>5 ./4/5,>5> 5/<0/D- :+ -:2/+4> /+ /0 8>4/+*,-0 /34,2-.> ./ 3/5B,*,>

./0 -*4,B>9 ;- 3/- 8>5 3: :4,0,O-*,6+ > 8>5 3: B/+4-9 ./3./ /0 2>2/+4> /+ A:/ 0- /285/3- 5/*>+>*,6

8>5 b04,2- B/O 0- 8)5.,.- 8>5 ./4/5,>5> ./0 -*4,B>F R- /285/3- /34? >C0,=-.- - ,./+4,<,*-5 0>3

*-2C,>3 /+ 0-3 /34,2-*,>+/3 A:/ 85>.:*/ /0 ,+*5/2/+4> *,4-.> /+ /0 8>4/+*,-0 ./ 3/5B,*,>F

7D/280>3 ./ 4-0/3 *-2C,>3 /+ 0-3 /34,2-*,>+/3 3>+ 0>3 3,=:,/+4/3a

]-[  :+ *-2C,> /+ 0- C-3/ ./ /34,2-*,6+ ./0 ,28>54/ 5/*:8/5-C0/ ]8>5 /D/280>9 3, -+4/3 3/

*-0*:0-C- - 8-54,5 ./0 85/*,> ./ B/+4- +/4> ; -@>5- 3/ @-*/ - 8-54,5 ./0 B-0>5 ./ :3>9 >

 B,*/B/53-[X

]C[  3, /0 ,28>54/ 5/*:8/5-C0/ 3/ *-0*:0-C- - 8-54,5 ./0 B-0>5 ./ :3>9 :+ *-2C,> /+ 0- *:-+4Q- >

Page 280: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 280/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !cP

/+ 0-3 </*@-3 ./ 0-3 /34,2-*,>+/3 ./ 0>3 <0:D>3 ./ /</*4,B> <:4:5>3 > /+ /0 4,8> ./

./3*:/+4>X >

]*[  3, /0 ,28>54/ 5/*:8/5-C0/ 3/ *-0*:0-C- - 8-54,5 ./0 85/*,> ./ B/+4- +/4>9 :+ *-2C,> /+ 0-3

/34,2-*,>+/3 *>55/38>+.,/+4/3 - 0>3 *>28>+/+4/3 ./ 4-0 85/*,> ./ B/+4- > /+ 0>3 *>34/3

5/0-*,>+-.>3 *>+ 0- /+-D/+-*,6+ > -C-+.>+>F

GPGF 70 B-0>5 ./ :3> ./ :+ ./4/52,+-.> -*4,B> 8:/./ 00/=-5 - 3/5 3:8/5,>5 - 3: ,28>54/ /+ 0,C5>39

3,280/2/+4/ 8>5A:/ /0 B-0>5 -*4:-0 ./ 0>3 <0:D>3 ./ /</*4,B> <:4:5>3 -:2/+4/ - 2/.,.- A:/ )34>3

3/ /+*:/+45/+ 2?3 856U,2>3 -0 2>2/+4> 85/3/+4/F N> >C34-+4/9 /0 8>4/+*,-0 ./ 3/5B,*,> ./0 -*4,B>

8:/./ +> @-C/5 B-5,-.> /+ -C3>0:4>F M>5 4-+4>9 :+- 8)5.,.- 8>5 ./4/5,>5> +> 8:/./ 5/B/54,53/ 8>5

*-:3- ./0 2/5> 8-3> ./0 4,/28> ]/+ >*-3,>+/3 - /34> 3/ 0/ ./+>2,+- ƒ5/0-D-*,6+ ./0 ./3*:/+4>„[9

,+*0:3> -:+A:/ /0 ,28>54/ 5/*:8/5-C0/ ./0 -*4,B> 00/=:/ - 3/5 2-;>5 A:/ 3: ,28>54/ /+ 0,C5>3F

U/A/$*27- ./ )+ ?($.2.+ ?#$ ./5/$2#$# ./ '- +652A# 2-.2A2.'+)  

GP!F &O -'(0E +JTE/*( (- O+X/E) H( '- 1G*+0E */1) O1 /(0(/)+,- H( '-1 Te/H+H1 TE/ H(*(/+E/EN -E

H(X( (jG(H(/ 1O +JTE/*( (- O+X/E) f'( TEH/g1 U1X(/)( EX*(-+HE b-(*E H( 1JE/*+i1G+,- E

H(T/(G+1G+,-R H( -E U1X(/)( /(GE-EG+HE O1 Te/H+H1 TE/ H(*(/+E/E T1/1 (O J+)JE (-

(P(/G+G+E) 1-*(/+E/();

GP#F R>3 ,+*5/2/+4>3 /+ /0 ,28>54/ /+ 0,C5>3 ./ :+ -*4,B> 8>5 /+*,2- ./0 ,28>54/ /+ 0,C5>3 A:/ 8>.5Q-

@-C/53/ >C4/+,.> ]+/4> ./ -2>54,O-*,6+ > ./85/*,-*,6+[9 ./ +> @-C/5 3,.> 5/*>+>*,.- 0- 8)5.,.-

8>5 ./4/5,>5> /+ /D/5*,*,>3 -+4/5,>5/39 3>+ ./ @/*@> 5/B-0>5,O-*,>+/3 ./0 -*4,B> /+ *:/34,6+F M-5-

*>+4-C,0,O-5 4-0/3 5/B-0>5,O-*,>+/39 0- /285/3- :4,0,O-5? 0- N>52- Z+4/5+-*,>+-0 ./ K>+4-C,0,.-.A:/ *>55/38>+.- -0 -*4,B>F

GP$F 81 /(0(/)+,- H( '-1 Te/H+H1 TE/ H(*(/+E/E (- '- 1G*+0E H(X( )(/ /(GE-EG+H1 GEJE '-

+-S/()E +-J(H+1*1J(-*( (- O1 G'(-*1 H( /()'O*1HE)N 1 J(-E) f'( H+GUE 1G*+0E )(

GE-*1X+O+G( )(Ss- )' 01OE/ /(01OE/+i1HEN )+S'+(-HE E*/1 #E/J1 "-*(/-1G+E-1O H(

%E-*1X+O+H1H bTE/ (P(JTOEN (- 0+/*'H H(O */1*1J+(-*E 1O*(/-1*+0E T(/J+*+HE (- O1 #"% 3VN

"-JE0+O+i1HE <1*(/+1OR; %'1Of'+(/ /(0(/)+,- H( O1 Te/H+H1 TE/ H(*(/+E/E (- '- 1G*+0E

 T/(0+1J(-*( /(01OE/+i1HEN H(X( */1*1/)( GEJE '- 1'J(-*E H( /(01OE/+i1G+,- )(Ss- O1

#E/J1 "-*(/-1G+E-1O H( %E-*1X+O+H1H T(/*+-(-*(;

GP%F R- 5/B/53,6+ ./ :+- 8)5.,.- 8>5 ./4/5,>5>9 5/*>+>*,.- /+ :+ -*4,B> 5/B-0>5,O-.>9 3/ -C>+-

.,5/*4-2/+4/ -0 8-45,2>+,> +/4>9 -:2/+4-+.> /0 ,28>54/ ./ 0-3 5/3/5B-3 8>5 5/B-0>5,O-*,6+F N>

>C34-+4/9 ; /+ 0- 2/.,.- /+ A:/ 0- 8)5.,.- 8>5 ./4/5,>5> ./0 2,32> -*4,B> 5/B-0>5,O-.> @-;- 3,.>

5/*>+>*,.- 85/B,-2/+4/ *>2> :+ =-34> /+ 0- *:/+4- ./ 5/3:04-.>39 3/ 5/*>+>*/5? 0- 5/B/53,6+

Page 281: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 281/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !cG

*>2> :+ ,+=5/3> ./0 /D/5*,*,>F

GP&F $()T'e) H( U1X(/ /(GE-EG+HE '-1 /(0(/)+,- H( O1 Te/H+H1 TE/ H(*(/+E/EN OE) G1/SE) TE/

H(T/(G+1G+,- bE 1JE/*+i1G+,-R H(O 1G*+0E H(X(- )(/ EXP(*E H(O 1P')*( GE//()TE-H+(-*(N GE-

(O I+- H( H+)*/+X'+/ (O +JTE/*( (- O+X/E) /(0+)1HE H(O 1G*+0E J(-E) )' (0(-*'1O 01OE/

/()+H'1ON H( '-1 IE/J1 )+)*(Jh*+G1 1 OE O1/SE H( OE) T(/+EHE) f'( GE-)*+*'F1 )' 0+H1 s*+O

/()*1-*(;

U/A/$*27- ./ )+ ?($.2.+ ?#$ ./5/$2#$# ./ '-+ '-2.+. 1/-/$+.#$+ ./ /9/652A# 

GPIF &O +JTE/*( H( O1 /(0(/)+,- H( '-1 Te/H+H1 TE/ H(*(/+E/E (- '-1 '-+H1H S(-(/1HE/1 H(

(I(G*+0EN H(X( )(/ EXP(*E H( H+)*/+X'G+,-N GE- (O I+- H( +-G/(J(-*1/ (O +JTE/*( (- O+X/E) H(

OE) 1G*+0E) H( O1 G+*1H1 '-+H1HN '*+O+i1-HE (O )+S'+(-*( E/H(-2

]-[  (- T/+J(/ O'S1/N 1 OE) 1G*+0E) H+)*+-*E) H(O IE-HE H( GEJ(/G+EN T/E//1*(1-HE O1

G1-*+H1H (- I'-G+,- H(O 01OE/ H( G1H1 '-E H( OE) 1G*+0E) f'( GEJTE-(- O1 '-+H1Hz

 F

]C[ 1 GE-*+-'1G+,-N F )+ )( G'JTO(- OE) /(f'+)+*E) H(O Th//1IE 3`^N (O IE-HE H( GEJ(/G+E

H+)*/+X'+HE 1 O1 '-+H1H S(-(/1HE/1 H( (I(G*+0E;

8E) +-G/(J(-*E) (- OE) 01OE/() (- O+X/E) H(X(- */1*1/)( GEJE /(0(/)+E-() H( O1) Te/H+H1)

 TE/ H(*(/+E/E H( G1H1 '-E H( OE) 1G*+0E) +-H+0+H'1O()N F T/EG(H(/ 1 )' /(GE-EG+J+(-*E H( 1G'(/HE

GE- (O Th//1IE 3`K; 

GPcF  6O 1*/+X'+/ O1 /(0(/)+,- H( '-1 Te/H+H1 TE/ H(*(/+E/E GE//()TE-H+(-*( 1 '-1 '-+H1H

 S(-(/1HE/1 H( (I(G*+0E )+S'+(-HE OE ()*1XO(G+HE (- (O Th//1IE 3`YN (O +JTE/*( (- O+X/E) H(

G1H1 1G*+0E -E H(X( )(/ 1'J(-*1HE TE/ (-G+J1 H(O J(-E/ (-*/(2

]-[  )' +JTE/*( /(G'T(/1XO( b)+ T'H+(/1 H(*(/J+-1/)(Rz F

]C[ (O +JTE/*( (- O+X/E) b-(*E H( 1JE/*+i1G+,- E H(T/(G+1G+,-R f'( U'X+(/1 TEH+HE

H(*(/J+-1/)( H( -E U1X(/)( /(GE-EG+HE O1 Te/H+H1 TE/ H(*(/+E/E (- OE) (P(/G+G+E)

1-*(/+E/();

&O +JTE/*( H( O1 /(0(/)+,- H( O1 Te/H+H1 TE/ H(*(/+E/E f'( -E )( T'(H1 H+)*/+X'+/ 1 OE)

1G*+0E) )+S'+(-HE (O G/+*(/+E 1-*(/+E/N )(/h T/E//1*(1HE (-*/( OE) H(Jh) 1G*+0E) f'( GEJTE-(- O1

'-+H1H; 

U/A/$*27- ./ )+ ?($.2.+ ?#$ ./5/$2#$# ./) 9#-.# ./ 6#,/$62# 

GPHF %EJE (jG(TG+,- 1 OE) /(f'+)+*E) ()*1XO(G+HE) (- (O Th//1IE ^^N '-1 Te/H+H1 TE/ H(*(/+E/E

/(GE-EG+H1 (- (O IE-HE H( GEJ(/G+E -E TEH/h )(/ EXP(*E H( /(0(/)+,- (- OE) (P(/G+G+E)

 TE)*(/+E/()N 1 J(-E) f'(2

Page 282: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 282/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !c!

]-[  O1 Te/H+H1 TE/ H(*(/+E/E I'(/1 G1')1H1 TE/ '- )'G()E (j*(/-E ()T(GgI+GE H(

-1*'/1O(i1 *1- (jG(TG+E-1O f'( -E )( ()T(/( )' /(T(*+G+,- (- (O I'*'/Ez F

]C[ U1F1- EG'//+HEN GE- TE)*(/+E/+H1HN )'G()E) (j*(/-E) f'( U1F1- GE-)(S'+HE /(0(/*+/

(O (I(G*E H( *1O )'G()E;

GGPF R- NZK #c9 1*4,B>3 Z+2-4/5,-0/39 85>@QC/ /0 5/*>+>*,2,/+4> ./ :+ <>+.> ./ *>2/5*,> =/+/5-.>

,+4/5+-2/+4/F K:-0A:,/5 ,+*5/2/+4> 8>34/5,>5 /+ /0 ,28>54/ 5/*:8/5-C0/ ./0 <>+.> ./ *>2/5*,>9

3/5? 85>C-C0/2/+4/ :+ -:2/+4> ./0 <>+.> ./ *>2/5*,> =/+/5-.> ,+4/5+-2/+4/9 3-0B> A:/ /0

,+*5/2/+4> /34) 5/0-*,>+-.> *0-5-2/+4/ *>+ 0- 5/B/53,6+ ./ 0>3 /</*4>3 *-:3-.>3 8>5 :+ 3:*/3>

/U4/5+> /38/*Q<,*> ./ +-4:5-0/O- /U*/8*,>+-0F

GGGF 734- N>52- +> 8/52,4/ 0- 5/B/53,6+ ./ :+- 8)5.,.- 8>5 ./4/5,>5> /+ /0 <>+.> ./ *>2/5*,> C-3-.-

/+ :+ 2/5> *-2C,> ./ 0-3 /34,2-*,>+/3 ]8>5 /D/280>9 :+- B-5,-*,6+ /+ /0 4,8> ./ ./3*:/+4> > /+ /0

,28>54/ ; -8-5,*,6+ 4/28>5-0 ./ 0>3 <0:D>3 ./ /</*4,B> <:4:5>3 ./ 0- :+,.-. =/+/5-.>5- ./ /</*4,B>

- 0- A:/ *>55/38>+./ /0 <>+.> ./ *>2/5*,>[F

GG!F \+ 3:*/3> /U4/5+> /38/*Q<,*> /3 :+ /B/+4> A:/ *-/ <:/5- ./0 *>+45>0 ./ 0- /285/3-F 7D/280>3 ./

3:*/3>3 /U4/5+>3 ./ +-4:5-0/O- /U*/8*,>+-0 3>+ 0-3 +:/B-3 5/=:0-*,>+/3 A:/ 85>.:*/+ 5/*>54/3

3,=+,<,*-4,B>3 > 5/.:*/+ /0 5/+.,2,/+4> ./ 0- -*4,B,.-. > 0-3 /U80>4-*,>+/3 - 0-3 A:/ *>55/38>+./ /0

<>+.> ./ *>2/5*,>F

ZN^ed_1KZmN 1 d7f7R1d

GG#F &- OE) ()*1HE) I+-1-G+(/E) )( H(X( /(0(O1/N T1/1 G1H1 GO1)( H( 1G*+0E)N O1 )+S'+(-*(

+-IE/J1G+,-2

]-[  (O +JTE/*( H( O1) Te/H+H1) TE/ H(*(/+E/E /(GE-EG+H1) (- O1 G'(-*1 H( /()'O*1HE)

H'/1-*( (O (P(/G+G+EN 1)g GEJE O1 T1/*+H1 E T1/*+H1) (- O1) f'( *1O() G1/SE) ()*h-

+-GO'+HE)z

]C[ (O +JTE/*( H( O1) /(0(/)+E-() H( 1-*(/+E/() Te/H+H1) TE/ H(*(/+E/E f'( )( U1-

/(GE-EG+HE (- O1 G'(-*1 H( /()'O*1HE) H'/1-*( (O (P(/G+G+EN 1)g GEJE O1 T1/*+H1 E

 T1/*+H1) H( O1 G'(-*1 H( /()'O*1HE) (- f'( *1O() /(0(/)+E-() ()*h- +-GO'+H1)z

]*[  (O +JTE/*( H( O1) Te/H+H1) TE/ H(*(/+E/E /(GE-EG+H1) H+/(G*1J(-*( (- O1) G'(-*1)

H( T1*/+JE-+E -(*E H'/1-*( (O (P(/G+G+Ez F

].[  (O +JTE/*( H( O1) /(0(/)+E-() H( 1-*(/+E/() Te/H+H1) TE/ H(*(/+E/E /(GE-EG+H1)

H+/(G*1J(-*( (- O1) G'(-*1) H( T1*/+JE-+E -(*E H'/1-*( (O (P(/G+G+E;

GG$F \+- *0-3/ ./ -*4,B>3 /3 :+ *>+D:+4> ./ /0/2/+4>3 A:/ 4,/+/+ 3,2,0-5 +-4:5-0/O- ; :3> /+ 0-3

-*4,B,.-./3 ./ 0- /285/3-F

Page 283: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 283/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !c#

GG%F R- ,+<>52-*,6+ /U,=,.- 8>5 /0 8?55-<> GG# 8:/./ 5/B/0-53/ D:+4> *>+ >45>3 .-4>3 85/3/+4-.>3 8>5

*0-3/3 ./ -*4,B>3F M>5 /D/280>9 4-0 ,+<>52-*,6+ 8:/./ /34-5 ,+*0:,.- /+ :+- *>+*,0,-*,6+ ./0

,28>54/ /+ 0,C5>3 ./ 0>3 /0/2/+4>3 ./0 ,+2>B,0,O-.> 2-4/5,-0 -0 *>2,/+O> ; -0 <,+-0 ./0 /D/5*,*,>9 ;-

A:/ /34/ 4,8> ./ ,+<>52-*,6+ /3 >C0,=-4>5,> 3/=b+ 0- NZK G&9 Z+2>B,0,O-.> _-4/5,-0F

GG&F >-1 (JT/()1 f'( 1TO+G1 O1 #"% 3KN "-IE/J1G+,- L+-1-G+(/1 TE/ :(SJ(-*E)N H(X(

 T/EG(H(/ 1 /(0(O1/N T1/1 G1H1 '-E H( OE) )(SJ(-*E) f'( +-GO'F1 (- )') ()*1HE) I+-1-G+(/E)

GE- (O IE/J1*E T/+-G+T1O bf'( )( H(I+-( (- O1 T/ET+1 #"% 3KRN O1 )+S'+(-*( +-IE/J1G+,-2

]-[  (O +JTE/*( f'( GE//()TE-H( 1 O1) Te/H+H1) TE/ H(*(/+E/E /(GE-EG+H1)N *1-*E (- O1

G'(-*1 H( /()'O*1HE) GEJE H+/(G*1J(-*( (- O1) G'(-*1) H( T1*/+JE-+E -(*E H'/1-*(

(O (P(/G+G+Ez F

]C[ (O +JTE/*( GE//()TE-H+(-*( 1 O1) /(0(/)+E-() H( Te/H+H1) TE/ H(*(/+E/E /(GE-EG+H1)

1-*(/+E/J(-*(N *1-*E (- O1 G'(-*1 H( /()'O*1HE) GEJE H+/(G*1J(-*( (- O1) G'(-*1)

H( T1*/+JE-+E -(*E H'/1-*( (O (P(/G+G+E;

GGIF :+ '-1 H(*(/J+-1H1 Te/H+H1 TE/ H(*(/+E/E E )' /(0(/)+,-N f'( U1- )+HE /(GE-EG+H1)

H'/1-*( (O (P(/G+G+E F GE//()TE-H(- 1 '- 1G*+0E +-H+0+H'1O E 1 '-1 '-+H1H S(-(/1HE/1 H(

(I(G*+0EN )E- H( G'1-*g1 )+S-+I+G1*+01 (- OE) ()*1HE) I+-1-G+(/E) H( O1 (JT/()1 (- )'

GE-P'-*EN e)*1 H(X( T/EG(H(/ 1 /(0(O1/ O1 )+S'+(-*( +-IE/J1G+,-2

]-[  OE) )'G()E) F G+/G'-)*1-G+1) f'( U1- OO(01HE 1O /(GE-EG+J+(-*E E 1 O1 /(0(/)+,- H(

O1 Te/H+H1 TE/ H(*(/+E/Ez

]C[ (O +JTE/*( H( O1 Te/H+H1 TE/ H(*(/+E/E /(GE-EG+H1 E /(0(/*+H1z

]*[  T1/1 G1H1 1G*+0E +-H+0+H'1O2

N2P  O1 -1*'/1O(i1 H(O 1G*+0Ez F

N22P 

(O )(SJ(-*E 1O f'( T(/*(-(G(N )(Ss- G'hO )(1 (O IE/J1*E T/+-G+T1O '*+O+i1HE

 TE/ O1 (JT/()1 b1 T1/*+/ H( O1) H(I+-+G+E-() GE-*(-+H1) (- O1 #"% 3KN

"-IE/J1G+,- L+-1-G+(/1 TE/ :(SJ(-*E)N )+(JT/( f'( O1 (JT/()1 1TO+f'(

()*1 #E/J1Rz

].[  T1/1 G1H1 '-+H1H S(-(/1HE/1 H( (I(G*+0E2

],[  '-1 H()G/+TG+,- H( O1 )')EH+GU1 '-+H1H S(-(/1HE/1 H( (I(G*+0E bTE/

(P(JTOE )+ )( */1*1 H( '-1 Og-(1 H( T/EH'G*E)N '-1 IhX/+G1N '-1 ET(/1G+,- H(

-(SEG+E)N '- h/(1 S(ES/hI+G1N E '- )(SJ(-*E H( +-IE/J1G+,- H( O1 (JT/()1N

)(Ss- )( H(I+-(- e)*E) (- O1 #"% 3KN ' E*/E *+TE H( H()G/+TG+,- f'( /()'O*(

GE-0(-+(-*(Rz

Page 284: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 284/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !c$

],,[  (O +JTE/*( H( O1 Te/H+H1 TE/ H(*(/+E/E /(GE-EG+H1 E /(0(/*+H1 (- (O (P(/G+G+EN

 TE/ G1H1 GO1)( H( 1G*+0E) F TE/ G1H1 )(SJ(-*E H( +-IE/J1G+,-N )(Ss- (O

IE/J1*E T/+J1/+E f'( '*+O+G( O1 (JT/()1 b*1O GEJE e)*( )( H(I+-( (- O1 #"%

3KN )+(JT/( f'( O1 (JT/()1 1TO+f'( ()*1 #E/J1Rz F

],,,[ )+ O1 IE/J1 H( 1S/'T1/ OE) 1G*+0E)N T1/1 +H(-*+I+G1/ O1 '-+H1H S(-(/1HE/1 H(

(I(G*+0EN U1 G1JX+1HE H()H( O1 1-*(/+E/ ()*+J1G+,- H(O +JTE/*( /(G'T(/1XO(

H( O1 '-+H1HN O1 (JT/()1 H(X(/h +-GO'+/ '-1 H()G/+TG+,- H( O1 IE/J1 1-*(/+E/

 F 1G*'1O H( OO(01/ 1 G1XE O1 1S/'T1G+,-N 1)g GEJE O1) /1iE-() T1/1 JEH+I+G1/

O1 IE/J1 H( +H(-*+I+G1/ O1 '-+H1H (- G'()*+,-z

]/[  )+ (O +JTE/*( /(G'T(/1XO( H(O 1G*+0E bE H( O1 '-+H1H S(-(/1HE/1 H( (I(G*+0ERN ()*h

GE-)*+*'+HE TE/ )' T/(G+E H( 0(-*1 -(*E E )' 01OE/ H( ')Ez

]<[  (- (O G1)E H( f'( (O +JTE/*( /(G'T(/1XO( )(1 (O T/(G+E H( 0(-*1 -(*EN OE) G/+*(/+E)

'*+O+i1HE) T1/1 H(*(/J+-1/ ()*( T/(G+E H( 0(-*1 -(*E bTE/ (P(JTOE TE/ /(I(/(-G+1 1

'- J(/G1HE 1G*+0E E H( E*/1 J1-(/1Rz F

]=[  (- (O G1)E H( f'( (O +JTE/*( /(G'T(/1XO( )(1 (O 01OE/ H( ')EN (O *+TE E *+TE) H(

H()G'(-*E '*+O+i1HE) (- O1) ()*+J1G+E-() 1G*'1O() F (- O1) (I(G*'1H1)

1-*(/+E/J(-*(N (- )' G1)E;

GGcF :+ (O GE-P'-*E H( *EH1) O1) Te/H+H1) TE/ H(*(/+E/E /(GE-EG+H1) E /(0(/*+H1)N H'/1-*( (O

(P(/G+G+EN *'0+(/1- +JTE/*1-G+1 )+S-+I+G1*+01 H(-*/E H( OE) ()*1HE) I+-1-G+(/E) SOEX1O() H(

O1 (JT/()1N e)*1 H(X(/h /(0(O1/ (- (OOE) +-IE/J1G+,- GE-*(-+(-HE '-1 X/(0( H()G/+TG+,- H(

OE )+S'+(-*(2

]-[  O1) T/+-G+T1O() GO1)() H( 1G*+0E) 1I(G*1HE) TE/ O1) Te/H+H1) TE/ H(*(/+E/EN E (- )'

G1)E TE/ O1) /(0(/)+E-()N T1/1 O1) G'1O() -E )( U1 H1HE +-IE/J1G+,- TE/ -E

/(f'(/+/OE (O Th//1IE 33Yz F

]C[  OE) T/+-G+T1O() )'G()E) F G+/G'-)*1-G+1) f'( U1- OO(01HE 1O /(GE-EG+J+(-*EN E (- )'

G1)E 1 O1 /(0(/)+,-N H( *1O() Te/H+H1) TE/ H(*(/+E/E T1/1 O1) f'( -E )( U1 H1HE

+-IE/J1G+,- TE/ -E /(f'(/+/OE (O Th//1IE 33Y;

GGHF W/ -*>+3/D- - 0-3 /285/3-3 5/B/0-5 ,+<>52-*,6+ -*/5*- ./ 0-3 @,864/3,3 *0-B/ :4,0,O-.-3 8-5-

./4/52,+-59 .:5-+4/ /0 /D/5*,*,>9 /0 ,28>54/ 5/*:8/5-C0/ ./ 0>3 -*4,B>3 > ./ 0-3 :+,.-./3

=/+/5-.>5-3 ./ /</*4,B>F

Page 285: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 285/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !c%

`ZWMeWZKZeN7W (d1NWZ(edZ1W

G!PF &)*1 #E/J1 H(X( )(/ 1TO+G1H1 H( IE/J1 T/E)T(G*+01 s-+G1J(-*(; 81) Te/H+H1) TE/

H(*(/+E/E bE O1) /(0(/)+E-() H( O1) J+)J1)RN f'( )( T/EH'iG1- GEJE /()'O*1HE H( O1

1TO+G1G+,- TE/ T/+J(/1 0(i H( ()*1 #E/J1 "-*(/-1G+E-1O H( %E-*1X+O+H1HN H(X(- )(/

/(GE-EG+H1) H( 1G'(/HE GE- OE ()*1XO(G+HE (- O1 T/ET+1 #E/J1 b() H(G+/N (- O1 G'(-*1 H(

/()'O*1HE)N )1O0E f'( (O 1G*+0E )( GE-*1X+O+G( )(Ss- )' 01OE/ /(01OE/+i1HEN (- G'FE G1)E O1)

 Te/H+H1) TE/ H(*(/+E/E )( */1*1/h- GEJE H+)J+-'G+E-() (- O1) /()(/01) TE/ /(01OE/+i1G+,-N

 F O1) /(0(/)+E-() GE//()TE-H+(-*() GEJE +-G/(J(-*E) H( H+GU1) /()(/01)R;

G!GF M5/B,-2/+4/ - 0- -85>C-*,6+ ./ /34- N>52-9 >45-3 N>52-3 Z+4/5+-*,>+-0/3 ./ K>+4-C,0,.-.

*>+4/+Q-+ 5/A:,3,4>3 2:; 3,2,0-5/3 - 0>3 5/*>=,.>3 -A:Q 8-5- /0 5/*>+>*,2,/+4> ; 0- 5/B/53,6+ ./ 0-3

8)5.,.-3 8>5 ./4/5,>5> ./ 0>3 -*4,B>3F N> >C34-+4/9 8:/./+ -8-5/*/5 *-2C,>3 *>+ 5/38/*4> - 0-3

/B-0:-*,>+/3 @/*@-3 -+4/5,>52/+4/9 8>5 *-:3- ./ *,/54>3 ./4-00/3 3>C5/ *62> ./4/52,+-5 /0

,28>54/ 5/*:8/5-C0/ > *62> ./<,+,5 - 0-3 :+,.-./3 =/+/5-.>5-3 ./ /</*4,B>F M>.5Q- 3/5 .,<Q*,0

*-0*:0-59 ./ <>52- 5/45>38/*4,B-9 A:) *:-+4Q- 8>.5Q- @-C/5 -0*-+O-.> /+ /0 8-3-.> /0 ,28>54/

5/*:8/5-C0/ ./ :+ ./4/52,+-.> -*4,B>F M>5 4-+4>9 *:-+.> 0- /285/3- 85>*/.- - -80,*-5 /34- N>52-

8>5 85,2/5- B/O9 +> -80,*-5? +, /0 45-4-2,/+4> 85/</5/+4/9 +, /0 45-4-2,/+4> -04/5+-4,B> 8/52,4,.>

8-5- *>+4-C,0,O-5 >45>3 *-2C,>3 /+ 0-3 8>0Q4,*-3 *>+4-C0/3 3/=b+ 0> .,38:/34> /+ 0- NZK c9

L-+-+*,- > M)5.,.- N/4- ./0 7D/5*,*,>9 755>5/3 ^:+.-2/+4-0/3 ; K-2C,>3 /+ 0-3 M>0Q4,*-3

K>+4-C0/3F

^7KJ1 `7 fZL7NKZ1G!!F &)*1 #E/J1 "-*(/-1G+E-1O H( %E-*1X+O+H1H *(-H/h 0+S(-G+1 T1/1 OE) ()*1HE) I+-1-G+(/E)

f'( 1X1/f'(- (P(/G+G+E) f'( GEJ+(-G(- 1 T1/*+/ H(O 3 H( P'O+E H( 3^^^; :( 1GE-)(P1

1-*+G+T1/ )' 1TO+G1G+,-; :+ O1 (JT/()1 1TO+G1/1 ()*1 #E/J1 (- OE) ()*1HE) I+-1-G+(/E) f'(

1X1/f'(- (P(/G+G+E) f'( GEJ+(-G(- 1-*() H(O 3 H( P'O+E H( 3^^^N H(X( /(0(O1/ ()*( U(GUE;  

Page 286: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 286/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !c&

3V;3A  6 #&d4 3A2 748&5W# 5a%#"%4 #y QQ $&8 %48&?"4 $& %4#56$4=&: 

7EO(*g- 5eG-+GE #y QQ H(O %EO(S+E H( %E-*1HE/()

%E-*1X+O+i1G+,- H( 1G*+0E) +-*1-S+XO(); 

"#5=4$>%%"@#

GF 734/ S>0/4Q+ ()*+,*> /34-C0/*/ 0>3 85,+*,8,>3 ./ *>+4-C,0,.-. A:/ 3/ ./C/+ -80,*-5 - 0>3 -*4,B>3

,+4-+=,C0/3F 70 *>+*/84> ./ ,+4-+=,C0/3 A:/ 3/ ,+*0:;/ /+ /34/ S>0/4Q+ 4)*+,*> *>55/38>+./ - -A:/00>3

-*4,B>3 A:/9 3,+ 4/+/5 /U,34/+*,- <Q3,*- > *>5865/-9 @-+ ,280,*-.> :+ *>34> ./ -.A:,3,*,6+ 8-5- 0- /285/3-

; 3>+ -85>B/*@-C0/3 /+ /0 +/=>*,>F

!F R>3 -*4,B>3 ,+4-+=,C0/3 3/ .,B,./+ /+ .>3 =5:8>3 E 0>3 ,./+4,<,*-C0/3 ; 0>3 +> ,./+4,<,*-C0/3F R>3,./+4,<,*-C0/3 ,+*0:;/+9 /+45/ >45>39 8-4/+4/39 <5-+A:,*,-39 2-5*-39 *>+*/3,>+/39 ./5/*@>3 3>C5/ 0Q+/-3

4/0/<6+,*-39 C-3/3 ./ .-4>39 3/5B,.:2C5/3 ; ./5/*@>3 ./ -=:-F 70 -*4,B> ,+4-+=,C0/ +> ,./+4,<,*-C0/ 2?3

*>2b+ /3 /0 2/+>5 B-0>5 ./ ,+B/53,6+F 734/ S>0/4Q+ ()*+,*> 45-4- 3>0-2/+4/ 0>3 -*4,B>3 ,+4-+=,C0/3

,./+4,<,*-C0/3F 70 45-4-2,/+4> ./0 '2/+>5 ]2-;>5[ B-0>5 ./ ,+B/53,>+/39 85>B/+,/+4/3 ./ 0- -.A:,3,*,6+ ./

/285/3-3' /3 2-4/5,- ./0 S>0/4Q+ ()*+,*> NT $!F 734/ S>0/4Q+ ()*+,*> +> 45-4- 0>3 L-34>3 ./

e5=-+,O-*,6+ ; M:/34- /+ _-5*@- ]7285/3-3 /+ 74-8- ./ `/3-55>00>[ +, 0>3 =-34>3 ./ `/3-55>00> ./

W,34/2-3 K>28:4-*,>+-0/3F

#65>=68&]6 Z %6=6%5&=W:5"%6: $& 84: 6%5"C4: "#56#?"78&:

#F R>3 -*4,B>3 ,+4-+=,C0/3 5/85/3/+4-+ ./5/*@>3 > 85,B,0/=,>3 A:/ 3/ -.A:,/5/+ *>+ 0- ,+4/+*,6+ ./ A:/

-8>54/+ C/+/<,*,>3 /38/*Q<,*>3 - 0-3 >8/5-*,>+/3 ./ 0- /+4,.-. .:5-+4/ 8/5Q>.>3 A:/ 3/ /U4,/+./+ 2?3 -00?

./ -A:/0 /+ A:/ <:/5>+ -.A:,5,.>3F

$F 70 5/A:,3,4> A:/ ./C/+ *:280,5 0>3 -*4,B>3 ,+4-+=,C0/3 ,./+4,<,*-C0/3 8-5- 3/5 5/*>+>*,.>3 *>2> -*4,B>3

; +> *>2> =-34>3 /3 A:/ /U,34- :+- 5-O>+-C0/ */54/O- ./ A:/ 3/5?+ *-8-*/3 ./ =/+/5-5 C/+/<,*,>3 8-5- 0-/285/3-9 ;- 3/- ,+*5/2/+4-+.> 0>3 ,+=5/3>3 > 5/.:*,/+.> 0>3 *>34>39 /+ :+ 2>+4> 3:<,*,/+4/ A:/ 8/52,4-

3/-+ -C3>5C,.>3 - 45-B)3 ./ 3: -2>54,O-*,6+F

Page 287: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 287/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !cI

4."#"@# C684= "#"%"68

%F 70 B-0>5 ,+,*,-0 ./ 4>.>3 0>3 -*4,B>3 ,+4-+=,C0/3 /3 3: *>34> ./ -.A:,3,*,6+F ^>52-+ 8-54/ ./0 B-0>5 ,+,*,-0

4>.>3 0>3 =-34>3 5/0-*,>+-.>3 *>+ 0- -.A:,3,*,6+ ./0 ,+4-+=,C0/9 4-0/3 *>2> @>+>5-5,>39 =-34>3 0/=-0/39

*>34>3 -3,=+-.>3 ; *:-0A:,/5 >45> *>34> ,./+4,<,*-C0/ .,5/*4-2/+4/ *>+ 3: -.A:,3,*,6+9 /U*/84> /0 *>34> ./<,+-+*,-2,/+4>F R- *-8,4-0,O-*,6+ ./ 0>3 -*4,B>3 ,+4-+=,C0/3 ./C/ @-*/53/ b+,*-2/+4/ *:-+.> @-;-+ 3,.>

*>285-.>3 > -.A:,5,.>3 /+ >45- <>52-F 7+ +,+=b+ *-3> 3/ 8>.5?+ -*4,B-5 0>3 *>34>3 ; =-34>3 ,+*:55,.>3

/+ /0 ./3-55>00> ,+4/5+> ./ -*4,B>3 ,+4-+=,C0/3 +, /34,2-*,>+/3 ./ 3: B-0>5 /*>+62,*>F

 6<4=5"]6%"@#

&F R>3 -*4,B>3 ,+4-+=,C0/3 ./C/+ 3/5 -2>54,O-.>3 0,+/-02/+4/9 5/*>+>*,)+.>0>3 *>2> :+ =-34> .:5-+4/ 3:

 B,.- b4,09 - 2/+>3 A:/ 3/- 2?3 -85>8,-.> >45> 2)4>.> ./ -2>54,O-*,6+9 -4/+.,/+.> - 0- +-4:5-0/O- >*-5-*4/5Q34,*-3 ./0 -*4,B> ,+4-+=,C0/ ./ A:/ 3/ 45-4/F 70 8/5Q>.> ./ -2>54,O-*,6+ +> ./C/ /U*/./5 /0 80-O>

/+ A:/ 3/ /38/5- >4>5=-5?+ C/+/<,*,>39 /0 *:-0 /34? =/+/5-02/+4/ .-.> 8>5 /0 8/5Q>.> ./ .:5-*,6+ ./0

*>+45-4> 3:3*5,4> *>+ /0 >4>5=-+4/ ./ 0- 0,*/+*,-9 <5-+A:,*,- > 3,2,0-5F W, /0 80-O> +> 3/ /+*:/+45- ./<,+,.>

*>+45-*4:-02/+4/9 /0 8/5Q>.> ./ -2>54,O-*,6+ +> ./C/5? /U*/./5 ./ B/,+4/ ]!P[ -V>39 - 8-54,5 ./ 0- </*@-

./ -.A:,3,*,6+F 7+ +,+=b+ *-3>9 /0 8/5Q>.> ./ -2>54,O-*,6+ 8>.5? /U*/./5 0>3 ]$P[ -V>39 -:+ *:-+.> /0

80-O> ./0 *>+45-4> 3/ /U4,/+.- 2?3 -00? ./ .,*@> 8/5Q>.>F K:-+.> 3/ 45-4/ ./ /U80>4-*,6+ ./ 5/*:53>3

+-4:5-0/39 4-0/3 *>2> *>+*/3,>+/3 2,+/5-39 ./5/*@>3 ./ -=:- ; >45>3 3,2,0-5/39 /0 8/5Q>.> 2?U,2> ./

-2>54,O-*,6+ +> ./C/5? /U*/./5 ./ *:-5/+4- ]$P[ -V>39 - 8-54,5 ./ 0- </*@- ./ ,+,*,> ./ 0- /U80>4-*,6+F

IF e45>3 <-*4>5/3 A:/ ./C/+ 3/5 *>+3,./5-.>3 -0 /34,2-5 0- B,.- b4,0 ,+*0:;/+a

-F R,2,4-*,>+/3 0/=-0/39 5/=:0-4>5,-3 > *>+45-*4:-0/3F

CF f,.- 85/./*,C0/ ./0 +/=>*,> > ,+.:345,-F

*F ^-*4>5/3 /*>+62,*>3 *>2> 0- >C3>0/3*/+*,- ./ 0>3 85>.:*4>3 ; *-2C,>3 /+ 0- ./2-+.-F

.F d/-**,>+/3 /38/5-.-3 8>5 8-54/ ./ *>28/4,.>5/3 > 8>4/+*,-0/3 *>28/4,.>5/3F

/F ^-*4>5/3 +-4:5-0/39 *0,2?4,*>3 ; *-2C,>3 4/*+>06=,*>3 A:/ -</*4/+ 0- *-8-*,.-. 8-5- =/+/5-5 C/+/<,*,>3F

Page 288: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 288/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !cc

cF R-3 *-5-*4/5Q34,*-3 ./ /34>3 -*4,B>3 0>3 @-*/+ 3:3*/84,C0/3 - 8/5./5 3: B-0>5 -0 ./D-5 ./ 4/+/5 *-8-*,.-.

8-5- -8>54-5 C/+/<,*,>3 - 0-3 >8/5-*,>+/3 <:4:5-3F 7+ *>+3/*:/+*,-9 3/ @-*/ +/*/3-5,> A:/ 8/5,6.,*-2/+4/

/34)+ 3:D/4>3 - :+- /B-0:-*,6+ *>+ 5/0-*,6+ - 0-3 >8/5-*,>+/3 ./ 0- /285/3- ; - 0- 8>3,C,0,.-. A:/ 4/+=-+

./ =/+/5-5 C/+/<,*,>3 8-5- 0- 2,32-F K:-+.> 3/ ./4/52,+- A:/ :+ -*4,B> ,+4-+=,C0/ @- 8/5.,.>

3,=+,<,*-4,B-2/+4/ 3: B-0>59 3: ,28>54/ +> -2>54,O-.> ./C/5? *-5=-53/ - 0>3 5/3:04-.>3 ./0 8/5Q>.> /+ A:/

/3> >*:55/F K:-+.> 3/ ./4/52,+- A:/ 0- B,.- b4,0 ./0 -*4,B> ,+4-+=,C0/ @- .,32,+:,.>9 3: B-0>5 +>

-2>54,O-.> ./C/5? -2>54,O-53/ .:5-+4/ /0 +:/B> 80-O> ./ B,.- 5/34-+4/F

HF W, ./C,.> - :+ *-2C,> 3/ ./4/52,+- A:/ 0- /34,2-*,6+ ./ 0- B,.- b4,0 /3 2-;>5 A:/ 0- >5,=,+-02/+4/

*>+3,./5-.-9 /0 B-0>5 +> -2>54,O-.> ./0 -*4,B> ,+4-+=,C0/ ./C/5? -2>54,O-53/ .:5-+4/ /0 +:/B> 80-O> ./

 B,.- 5/34-+4/F 7+ +,+=b+ *-3>9 /0 8/5Q>.> 4>4-0 8>.5? /U*/./5 0>3 80-O>3 /34-C0/*,.>3 /+ /0 8?55-<> &F

45=6: %4#:"$&=6%"4#&:

GPF R>3 =-34>3 ./ 2-+4/+/5 -*4,B>3 ,+4-+=,C0/3 ./C/+ 5/=,345-53/ *>2> =-34>3 ./ >8/5-*,>+/3 ./0 8/5Q>.>

/+ A:/ 3/ ,+*:55/+F R>3 *>34>3 ,+*:55,.>3 /+ 0- 5/+>B-*,6+ ./ 0,*/+*,-3 ; >45-3 <5-+A:,*,-3 3,2,0-5/3

./C/5?+ -*4,B-53/ 3, *:280/+ *>+ 0-3 *>+.,*,>+/3 /34-C0/*,.-3 /+ 0>3 8?55-<>3 # ; $F

GGF 7+ +>4-3 /U80,*-4,B-3 - 0>3 /34-.>3 <,+-+*,/5>3 ./C/+ /U8>+/53/ 0>3 *5,4/5,>3 ./ *>+4-C,0,.-. :4,0,O-.>3

8-5- B-0>5,O-5 ; -2>54,O-5 0>3 -*4,B>3 ,+4-+=,C0/39 0>3 4,8>3 ./ ,+4-+=,C0/3 ; /0 *-5=> 8>5 -2>54,O-*,6+ ./0

8/5Q>.> > *:-0A:,/5 >45> -+4/*/./+4/ A:/ 3/- 5/0/B-+4/ /+ 0-3 *,5*:+34-+*,-3F

G!F R>3 3-0.>3 +> -2>54,O-.>3 ./ -*4,B>3 ,+4-+=,C0/3 >5,=,+-.>3 /+ /D/5*,*,>3 -+4/5,>5/3 ./C/+ -D:34-53/ -

0-3 +>52-3 /34-C0/*,.-3 /+ /34/ S>0/4Q+ ()*+,*> 8-5- A:/ 3/ -2>54,*/+ /+ /0 8/5Q>.> 2/+*,>+-.> /+ /0

8?55-<> &9 3:D/4> - 5/B,3,6+ 8/5,6.,*- 8-5- ./4/52,+-5 3: B,.- b4,0 ; *:-0A:,/5 8)5.,.- 3,=+,<,*-4,B- /+ 3:

 B-0>5F 70 8/5Q>.> 2?U,2> 2/+*,>+-.> /+ /0 8?55-<> & 3/ *>+4-5? - 8-54,5 ./0 /D/5*,*,> /+ A:/ 3/

,280/2/+4/ /34/ *-2C,> /+ 85,+*,8,> ./ *>+4-C,0,.-.F

G#F R>3 -*4,B>3 ,+4-+=,C0/3 -.A:,5,.>3 /+ -V>3 -+4/5,>5/3 A:/ +> <:/5>+ 5/*>+>*,.>3 /+ 3: 2>2/+4> +>

./C/+ 3/5 -*4,B-.>3F

Page 289: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 289/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !cH

3V;3D  6 #&d4 3D2 ?84:6="4 %4#%&.54: "L=:

"L=: M #"%

:"?86: =&8&C6#5&:2

  "6:7 (j "6:% b"-*(/-1*+E-1O 6GGE'-*+-S :*1-H1/H) 7E1/HR bB'-*1 H( #E/J1)

"-*(/-1G+E-1O() H( %E-*1X+O+H1HR 

Es una organización privada con sede en Londres, que funciona bajo la supervisión de la ―

Internacional Accounting Committee Foundatiion‖ ; /3 0- ,+34,4:*,6+ A:/ ./3-55>00- ; -85:/C- 0-

N>52-3 Z+4/5+-*,>+-0/3 ./ Z+<>52-*,6+ ^,+-+*,/5- ]NZZ^ 6 Z^dW[F 7+ /0 45-+3*:53> ./ 0-

45-+3<>52-*,6+ ./0 Z1WK 8>5 /0 Z1WS 3:5=,/5>+ *-2C,>3 /+ 3: /345:*4:5- .>+./ /0 Z1WS .,38:3>

-.>84-5 *>2> +>52-3 0-3 /2,4,.-3 8>5 /0 Z1WK ]NZK[9 @-34- 4-+4> 0-3 2,32-3 3/ 2>.,<,A:/+ >

5/<>52:0/+F R-3 NZK *-2C,-+ 3: ./+>2,+-*,6+ 8>5 Z+4/5+-4,>+-0 ^,+-+*,-0 d/8>54,+= W4-+.-5.3]Z^dW[

  #""L M "L=: b#E/J1) "-*(/-1G+E-1O() H( "-IE/J1G+,- L+-1-G+(/1 M "-*(/-1*+E-1O

L+-1-G+1O =(TE/*+-S :*1-H1/H)R 

R-3 N>52-3 Z+4/5+-*,>+-0/3 ./ Z+<>52-*,6+ ^,+-+*,/5- 3/ 5/<,/5/+ - 0- +:/B- 3/5,/ +:2/5-.- ./

85>+:+*,-2,/+4>3 A:/ /0 Z1WS /34? /2,4,/+.>9 *>2> .,34,+4-3 ./ 0- 3/5,/ ./ N>52-3

Z+4/5+-*,>+-0/3 ./ K>+4-C,0,.-. ]NZK[ /2,4,.-3 8>5 3: 85/./*/3>5-F

  #"% M "6: b#E/J1) "-*(/-1G+E-1O() H( %E-*1X+O+H1H M "-*(/-1*+E-1O 6GGE'-*+-S

:*1-H1/H)R

R-3 +>52-3 ,+4/5+-*,>+-0/3 ./ K>+4-C,0,.-. 4-2C,)+ 3>+ *>+>*,.-3 /+ ,+=0/3 8>5 0-3 3,=0-3 Z1W

]Z+4/5+-4,>+-0 1**>:+4,+= W4-+.-5.3[F

  :"% b:*1-H+-S "-*(/T/(*1*+E-) %EJJ+**((  –   %EJ+*e H( "-*(/T/(*1G+E-() H( O1) #"%R

70 >CD/4,B> 8/53/=:,.> -0 *5/-5 /34/ K>2,4) /3 85>2>B/59 2/.,-+4/ 0- ,+4/585/4-*,6+ ./ 4/2-3

*>+4-C0/3 3>C5/ 0>3 A:/ @-;- 8>.,.> 3:5=,5 0- *>+45>B/53,-9 0- -80,*-*,6+ 5,=:5>3- ; 0-

*>28-5-C,0,.-. 2:+.,-0 ./ 0>3 /34-.>3 <,+-+*,/5>3 A:/ @-;-+ 3,.> /0-C>5-.>3 3,=:,/+.> 0-3

N>52-3 Z+4/5+-*,>+-0/3 ./ K>+4-C,0,.-.F ]NZK[  %"#""L M "L="% b%EJ+*e H( "-*(/T/(*1G+,- H( O1) #E/J1) "-*(/-1G+E-1O() H(

"-IE/J1G+,- L+-1-G+(/1 M "-*(/-1*+E-1O L+-1-G+1O =(TE/*+-S "-*(/T/(*1*+E- %EJJ+**((R 

7+ /0 !PP! 3/ 5/*>+34,4:;6 /0 -+4,=:> K>2,4) ./ Z+4/585/4-*,>+/3 ]WZK[9 *>+ 0- +:/B-

./+>2,+-*,6+ ./ K>2,4) ./ Z+4/585/4-*,>+/3 ./ 0-3 N>52-3 Z+4/5+-*,>+-0/3 ./ Z+<>52-*,6+

^,+-+*,/5- ]KZNZZ^[FR/ K>55/38>+./ 0-3 ,+4/585/4-*,>+/3 ./ 0-3 NZZ^ ]Z^dW[

Page 290: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 290/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !HP

?84:6="4

   6G*+0E2  d/*:53> *>+45>0-.> 8>5 0- /285/3-9 *>2> 5/3:04-.> ./ @/*@>3 8-3-.>39 ./0 *:-0 0-

/285/3- /38/5- >C4/+/59 /+ /0 <:4:5>9 C/+/<,*,>3 /*>+62,*>3F

   6G*+0E X+EO,S+GE2 73 :+ -+,2-0 > :+- 80-+4- B,B>3   6G'(/HE H( T1SE) X1)1HE) (- 1GG+E-()2 \+ -*:/5.> /+45/ 0- /+4,.-. ; :+ 4/5*/5> ]A:/ 8:/./

3/5 :+ /280/-.>[ 8-5- /34-C0/*/5 :+- 45-+3-**,6+ *>+ 8-=>3 C-3-.>3 /+ -**,>+/39 A:/ >4>5=- /0

./5/*@> - 0- >45- 8-54/ - 5/*,C,5 /</*4,B> : >45>3 -*4,B>3 ./ 0- /+4,.-.9 8>5 ,28>54/3 A:/ 3/ C-3-+

/+ /0 85/*,> ./ 0-3 -**,>+/3 ./ 0- /+4,.-. > /+ >45>3 ,+345:2/+4>3 ./ 8-45,2>+,> ./ 0- 2,32-9 > -

5/*,C,5 ,+345:2/+4>3 ./ 8-45,2>+,> ./ 0- /+4,.-.9 C-D> /0 3:8:/34> ./ A:/ 0-3 *>+.,*,>+/3 8-5- 0-

,55/B>*-C,0,.-. ]> *>+3>0,.-*,6+[9 3, /U,34,/5/+9 3/ *:280/+F

   6G*+0E GE//+(-*(2  \+ -*4,B> ./C/ *0-3,<,*-53/ *>2> *>55,/+4/ *:-+.>a

]-[ 3: 3-0.> 3/ /38/5- 5/-0,O-59 > 3/ 4,/+/ 8-5- 3: B/+4- > *>+3:2>9 /+ /0 45-+3*:53> ./0 *,*0>

+>52-0 ./ 0- >8/5-*,6+ ./ 0- /285/3-X

]C[ 3/ 2-+4,/+/ <:+.-2/+4-02/+4/ 8>5 2>4,B>3 *>2/5*,-0/39 > 8-5- :+ 80-O> *>54> ./ 4,/28>9 ; 3/

/38/5- 5/-0,O-5 ./+45> ./0 8/5Q>.> ./ .>*/ 2/3/3 45-3 0- </*@- ./0 C-0-+*/X >

]*[ 3/ 45-4- ./ /</*4,B> : >45> 2/.,> 0QA:,.> /A:,B-0/+4/9 *:;- :4,0,O-*,6+ +> /34) 5/345,+=,.-F

 (>.>3 0>3 ./2?3 -*4,B>3 ./C/+ *0-3,<,*-53/ *>2> +> *>55,/+4/3F

   6G*+0+H1H() H( L+-1-G+1J+(-*E2  3>+ 0-3 -*4,B,.-./3 A:/ 85>.:*/+ *-2C,>3 /+ /0 4-2-V> ;

*>28>3,*,6+ ./ 0>3 *-8,4-0/3 85>8,>3 ; ./ 0>3 85)34-2>3 4>2-.>3 8>5 8-54/ ./ /285/3-F   6G*+0+H1H() H( "-0(/)+,-2 3>+ 0-3 ./ -.A:,3,*,6+ ; ./3-85>8,-*,6+ ./ -*4,B>3 - 0-5=> 80-O>9 -3Q

*>2> ./ >45-3 ,+B/53,>+/3 +> ,+*0:,.-3 /+ /0 /</*4,B> ; 0>3 /A:,B-0/+4/3 -0 /</*4,B>F

   6G*+0+H1H() H( 4T(/1G+,-2  3>+ 0-3 -*4,B,.-./3 A:/ *>+34,4:;/+ 0- 85,+*,8-0 <:/+4/ ./ ,+=5/3>3

>5.,+-5,>3 ./ 0- /285/3-9 -3Q *>2> >45-3 -*4,B,.-./3 A:/ +> 8:/.-+ 3/5 *-0,<,*-.-3 *>2> ./

,+B/53,6+ > <,+-+*,-*,6+

   6G*+0E L+PE b./ET+(H1HN .O1-*1 F &f'+TER2 W>+ 0>3 -*4,B>3 4-+=,C0/3 A:/a

]-[ 8>3// :+- /285/3- 8-5- 3: :3> /+ 0- 85>.:**,6+ > 3:2,+,345> ./ C,/+/3 ; 3/5B,*,>39 8-5-

-55/+.-50>3 - 4/5*/5>3 > 8-5- 85>863,4>3 -.2,+,345-4,B>3X ;

]C[ 3/ /38/5-+ :3-5 .:5-+4/ 2?3 ./ :+ 8/5Q>.> *>+4-C0/F

   6G*+0E I+-1-G+(/E2 <,+-+*,/5> /3 4>.> -*4,B> A:/ 8>3// :+- *:-0A:,/5- ./ 0-3 3,=:,/+4/3 <>52-3a

]-[ /</*4,B>X

]C[ :+ ./5/*@> *>+45-*4:-0 - 5/*,C,5 /</*4,B> : >45> -*4,B> <,+-+*,/5> 8>5 8-54/ ./ >45- /285/3-X

Page 291: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 291/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !HG

]*[ :+ ./5/*@> *>+45-*4:-0 - ,+4/5*-2C,-5 ,+345:2/+4>3 <,+-+*,/5>3 *>+ >45- /285/3-9 /+

*>+.,*,>+/3 A:/ 3>+ 8>4/+*,-02/+4/ <-B>5-C0/39 >

].[ :+ ,+345:2/+4> ./ *-8,4-0 ./ >45- /285/3-F

   6G*+0E -E GE//+(-*(2 \+ -*4,B> A:/ +> *:280- 0- ./<,+,*,6+ ./ -*4,B> *>55,/+4/

   6//(-H1J+(-*E L+-1-G+(/E2  73 :+ 4,8> ./ -55/+.-2,/+4> /+ /0 A:/ 3/ 45-+3<,/5/+

3:34-+*,-02/+4/ 4>.>3 0>3 5,/3=>3 ; C/+/<,*,>3 ,+@/5/+4/3 - 0- 85>8,/.-. ./0 -*4,B>F R- 85>8,/.-.

./0 2,32>9 /+ 3: *-3>9 8:/./ > +> 3/5 45-+3</5,.-F

   6//(-H1J+(-*E 4T(/1*+0E2  73 *:-0A:,/5 -*:/5.> ./ -55/+.-2,/+4> .,34,+4> -0 -55/+.-2,/+4>

<,+-+*,/5>F

   6G*+0E) TE/ +JT'()*E) H+I(/+HE)2 W>+ 0>3 2>+4>3 ./ ,28:/34>3 - 0- 5/+4- 5/*:8/5-C0/3 /+

8/5Q>.>3 <:4:5>3 5/38/*4> -a

]-[ .,</5/+*,-3 4/28>5-5,-3 ./.:*,C0/3X

]C[ 0-3 8)5.,.-3 45,C:4-5,-3 -*:2:0-.-3 +> :4,0,O-.-3X ;

]*[ 0>3 *5).,4>3 45,C:4-5,>3 -*:2:0-.>3 +> :4,0,O-.>3F

  7(-(I+G+E) 1 OE) (JTO(1HE)2  K>285/+./+ 4>.>3 0>3 4,8>3 ./ C/+/<,*,>3 A:/ 0- /+4,.-.

85>8>5*,>+- - 0>3 45-C-D-.>5/3 - *-2C,> ./ 3:3 3/5B,*,>3F

  71-H1 H( IO'G*'1G+,-2  Z+4/5B-0> -05/./.>5 ./ 0- 2/D>5 /34,2-*,6+ ./ 0-3 >C0,=-*,>+/3 8>5

C/+/<,*,>3 8>34E/280/>F

  7(-(I+G+E) +//(0EG1XO() H( OE) (JTO(1HE)2 d/2:+/5-*,>+/3 A:/ +> /34?+ *>+.,*,>+-.-3 8>5 0-

/U,34/+*,- ./ :+- 5/0-*,6+ ./ /280/> /+ /0 <:4:5>F  %EX(/*'/1 H( IO'PE H( G1P12 \+- *>C/54:5- *-0,<,*- *>2> ./ <0:D> ./ *-D- *:-+.> 0- /U8>3,*,6+

,+B>0:*5- :+ 5,/3=> ./ ,+*/54,.:2C5/ ]B-5,-C,0,.-.[ ./0 <0:D> ./ *-D-F

  %E-*/EO2 73 /0 8>./5 8-5- .,5,=,5 0-3 8>0Q4,*-3 <,+-+*,/5- ; ./ >8/5-*,6+ ./ :+- /+4,.-.9 *>+ /0 <,+

./ >C4/+/5 C/+/<,*,>3 ./ 3:3 -*4,B,.-./3F

  %E)*E) H( I+-1-G+1J+(-*E2 W>+ 0>3 ,+4/5/3/3 ; >45>3 *>34>39 A:/ :+- /+4,.-. ,+*:55/9 /+ 5/0-*,6+

*>+ <,+-+*,-2,/+4>3 >C4/+,.>3F

  $(/+01HE2 Z+345:2/+4> <,+-+*,/5> ./C/ *:280,5 *>+ 0-3 # *-5-*4/5Q34,*-3 3,=:,/+4/3a

EW: B-0>5 *-2C,- /+ 5/38:/34- -0 *-2C,> /+ :+- 4-3- ./ ,+4/5)39 /0 85/*,> ./ :+ ,+345:2/+4>9 /0

85/*,> ./ :+- 2/5*-+*Q-9 /0 4,8> ./ *-2C,>9 /0 Q+.,*/ ./ 85/*,>39 :+ 5-+|,+= ./ *5).,4>9 :+ Q+.,*/

./ *5).,4> : >45>3F

EN> 5/A:,/5/ :+- ,+B/53,6+ +/4- ,+,*,-09 > C,/+ 0- ,+B/53,6+ ,+,*,-0 /3 2:*@> 2/+>5 A:/ 0>

5/A:/5,.> 8>5 >45> 4,8> ./ *>+45-4>3 A:/ 3/ /38/5- 4/+=-+ :+- 5/38:/34- 3,2,0-5 - *-2C,>3 /+ 0-3

Page 292: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 292/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !H!

 B-5,-C0/3 ./ 2/5*-.>9 ;9

EW/ 0,A:,.- /+ :+- </*@- <:4:5-F

  $(/+01HE +JTOgG+*E2  \+ ./5,B-.> ,280Q*,4> /3 :+ *>28>+/+4/ ./ :+ ,+345:2/+4> <,+-+*,/5>

@QC5,.> ]*>2C,+-.>[ A:/ 4-2C,)+ ,+*0:;/ :+ *>+45-4> 85,+*,8-0 +> ./5,B-.>9 *:;> /</*4> /3 A:/

-0=:+>3 ./ 0>3 <0:D>3 ./ /</*4,B> ./0 ,+345:2/+4> *>2C,+-.> B-5Q-+ ./ <>52- 3,2,0-5 -0 ./5,B-.>9

*>+3,./5-.> ./ <>52- ,+./8/+.,/+4/F \+ ./5,B-.> ,280Q*,4> 85>B>*- A:/ -0=:+>39 > 4>.>39 0>3

<0:D>3 ./ /</*4,B> ./ :+ *>+45-4> 3/ 2>.,<,A:/+9 ./ -*:/5.> *>+ :+ ./4/52,+-.> 4,8> ./ ,+4/5)39 /0

85/*,> ./ :+ ,+345:2/+4> <,+-+*,/5>9 /0 85/*,> ./ :+- 2-4/5,- 85,2- *>4,O-.-9 :+ 4,8> ./ *-2C,>9

:+ Q+.,*/ ./ 85/*,>3 > ./ 4,8>3 ./ ,+4/5)39 :+- *-0,<,*-*,6+ > Q+.,*/ ./ *-5?*4/5 *5/.,4,*,>9 > /+

<:+*,6+ ./ >45- B-5,-C0/9 3:8>+,/+.> A:/9 /+ *-3> ./ A:/ 3/ 45-4/ ./ :+- B-5,-C0/ +> <,+-+*,/5-9 +>

3/- /38/*Q<,*- 8-5- :+- ./ 0-3 8-54/3 ./0 *>+45-4>F \+ ./5,B-.> A:/ 3/ -.D:+4/ - :+ ,+345:2/+4>

<,+-+*,/5> 8/5> A:/ 3/- *>+45-*4:-02/+4/ 45-+3</5,C0/ ./ 2-+/5- ,+./8/+.,/+4/9 > 4/+=- :+-

*>+45-8-54/ .,34,+4- - 0- ./0 ,+345:2/+4>9 +> 3/5? :+ ./5,B-.> ,280Q*,4>9 3,+> :+ ,+345:2/+4>

<,+-+*,/5> 3/8-5-.>F

  $(*(/+E/E2  \+ -*4,B> 3/ ./4/5,>5- 3, 3: B-0>5 0,C5> /3 2-;>5 A:/ 3: B-0>5 5/*:8/5-C0/F R>3

85,+*,8-0/3 3Q+4>2-3 /U4/5+>3 ./ ./4/5,>5> 3>+a .,32,+:*,6+ 3,=+,<,*-4,B- ./0 B-0>5 ./ 2/5*-.>9

*-2C,>3 -.B/53>3 /+ 0- 4/*+>0>=Q-9 > 2/5*-.> /38/*Q<,*>9 > :+ ,+*5/2/+4> /+ 0-3 4-3-3 ./ 2/5*-.>

A:/ -</*4/ - 0- 4-3- ./ ./3*:/+4> -80,*-.- - 0>3 <:4:5>3 <0:D>3 ./ *-D-F

  $+I(/(-G+1 H( G1JX+E2 73 0- A:/ 3:5=/ -0 45-.:*,5 :+ ./4/52,+-.> +b2/5> ./ :+,.-./3 ./ :+-

2>+/.- - >45- 2>+/.-9 :4,0,O-+.> 4,8>3 ./ *-2C,> .,</5/+4/3F  $+O'G+,-2 73 0- 5/.:**,6+ /+ 0- :4,0,.-. 8>5 -**,6+ > /0 -:2/+4> /+ 0- 8)5.,.- 8>5 -**,6+ A:/

5/3:04- ./ 3:8>+/5 A:/ 0>3 ,+345:2/+4>3 *>+B/54,C0/3 3/ *>+B/54,5?+9 A:/ 0-3 >8*,>+/3 >

*/54,<,*-.>3 8-5- *>285- ./ -**,>+/3 ]…-55-+43[ 3/5?+ /D/5*,.>3 > A:/ 3/ /2,4-+ -**,>+/3

>5.,+-5,-39 3, 3/ *:280/+ 0-3 *>+.,*,>+/3 85/B,34-3F

  &%&2 W8/*,-0 M:58>3/ 7+4,4; ]WM7[F 7+4,.-. ./ M5>863,4> 738/*,-09 /3 :+- >5=-+,O-*,6+ A:/ 3/

*>+345:;/ *>+ :+ 85>863,4> > .:5-*,6+ 0,2,4-.-F ^5/*:/+4/2/+4/ /34>3 f/@Q*:0>3 ./ M5>863,4>

738/*,-0 ]WMf9 > W8/*,-0 M:58>3/ f/@,*0/3[ 3,5B/+ *>2> >5=-+,O-*,>+/3 ,+4/52/.,-5,-3F 7+ /0

85>*/3> ./ 3/*:5,4,O-*,6+9 /3 0- /+4,.-. A:/ 2-+4,/+/ 0>3 ./5/*@>3 0/=-0/3 3>C5/ 0>3 -*4,B>3

45-+3</5,.>3 8>5 /0 >5,=,+-.>5F `/ -0=:+- 2-+/5- /34-3 >5=-+,O-*,>+/3 *:280/+ *>+ /0 5>0 ./ -,30-5

/0 5,/3=> <,+-+*,/5>F 13Q9 :+- /285/3- 8:/./ :3-5 /34/ 4,8> ./ B/@Q*:0>3 8-5- <,+-+*,-5 :+ =5-+

85>;/*4> 3,+ 8>+/5 /+ 5,/3=> - 4>.- 0- >5=-+,O-*,6+F 7+ 738-V- 3/ 45-.:*/ +>52-02/+4/ *>2>

W>*,/.-. Z+345:2/+4-0

Page 293: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 293/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !H#

  &jTOE/1G+,- F (01O'1G+,- H( /(G'/)E) J+-(/1O()2  R- Cb3A:/.- ./ 5/*:53>3 2,+/5-0/39

,+*0:;/+.> 2,+/5-0/39 8/4560/>9 =-3 +-4:5-0 ; 5/*:53>3 3,2,0-5/3 +> 5/+>B-C0/39 5/-0,O-.- :+- B/O

A:/ 0- /+4,.-. @- >C4/+,.> ./5/*@>3 0/=-0/3 8-5- /U80>5-5 /+ :+- ./4/52,+-.- ?5/-9 -3Q *>2> 0-

./4/52,+-*,6+ ./ 0- <,-C,0,.-. 4)*+,*- ; 0- B,-C,0,.-. *>2/5*,-0 ./ 0- /U45-**,6+ ./ 5/*:53>3

2,+/5-0/3F

  &I(G*+0E2 K>285/+./ 4-+4> 0- *-D- *>2> 0>3 ./863,4>3 C-+*-5,>3 - 0- B,34-F

  &I(G*+0E (f'+01O(-*(2  W>+ ,+B/53,>+/3 - *>54> 80-O> ./ =5-+ 0,A:,./O9 A:/ 3>+ <?*,02/+4/

*>+B/54,C0/3 /+ ,28>54/3 ./4/52,+-.>3 ./ /</*4,B>9 /34-+.> 3:D/4>3 - :+ 5,/3=> 8>*> 3,=+,<,*-4,B>

./ *-2C,>3 /+ 3: B-0>5F

  &)*1HE) L+-1-G+(/E)2 K>+34,4:;/+ :+- 5/85/3/+4-*,6+ <,+-+*,/5- /345:*4:5-.- ./ 0- 3,4:-*,6+

<,+-+*,/5- ; ./ 0-3 45-+3-**,>+/3 00/B-.-3 - *-C> 8>5 0- /285/3-F 70 >CD/4,B> ./ 0>3 /34-.>3

<,+-+*,/5>39 *>+ 85>863,4>3 ./ ,+<>52-*,6+ =/+/5-09 /3 3:2,+,345-5 ,+<>52-*,6+ -*/5*- ./ 0-

3,4:-*,6+ ; ./3/28/V> <,+-+*,/5>39 -3Q *>2> ./ 0>3 <0:D>3 ./ /</*4,B>9 A:/ 3/- b4,0 - :+ -280,>

/38/*45> ./ :3:-5,>3 -0 4>2-5 3:3 ./*,3,>+/3 /*>+62,*-3F R>3 /34-.>3 <,+-+*,/5>3 4-2C,)+

2:/345-+ 0>3 5/3:04-.>3 ./ 0- =/34,6+ A:/ 0>3 -.2,+,345-.>5/3 @-+ @/*@> ./ 0>3 5/*:53>3 A:/ 3/ 0/3

@-+ *>+<,-.>F M-5- *:280,5 /34/ >CD/4,B>9 0>3 /34-.>3 <,+-+*,/5>3 3:2,+,345-+ ,+<>52-*,6+ -*/5*-

./ 0>3 3,=:,/+4/3 /0/2/+4>3 ./ 0- /285/3-a

]-[ -*4,B>3X

]C[ 8-3,B>3X

]*[ 8-45,2>+,> +/4>X].[ ,+=5/3>3 ; =-34>39 /+ 0>3 *:-0/3 3/ ,+*0:;/+ 0-3 8)5.,.-3 ; =-+-+*,-3X ;

]/[ <0:D>3 ./ /</*4,B>F

  &j+)*(-G+1) b"-0(-*1/+ER2 W>+ -*4,B>3

]-[ 8>3/Q.>3 8-5- 3/5 B/+.,.>3 /+ /0 *:53> +>52-0 ./ 0- >8/5-*,6+X

]C[ /+ 85>*/3> ./ 85>.:**,6+ ./ *-5- - 4-0 B/+4-9 >

]*[ /+ 0- <>52- ./ 2-4/5,-0/3 > 3:2,+,345>39 8-5- 3/5 *>+3:2,.>3 /+ /0 85>*/3> ./ 85>.:**,6+9 >

/+ /0 3:2,+,345> ./ 3/5B,*,>3F

  LO'PE) H( (I(G*+0E2 W>+ 0>3 ,+=5/3>3 ; /=5/3>3 ./ /</*4,B> ; /</*4,B> /A:,B-0/+4/F

  ?1)*E)2 `,32,+:*,>+/3 /+ 0>3 C/+/<,*,>3 /*>+62,*>39 85>.:*,.>3 - 0> 0-5=> ./0 8/5Q>.> *>+4-C0/9

/+ <>52- ./ /=5/3>3 > .,32,+:*,>+/3 ./0 B-0>5 ./ 0>3 -*4,B>39 > C,/+ *>2> 3:5=,2,/+4> ./

>C0,=-*,>+/39 A:/ .-+ *>2> 5/3:04-.> .,32,+:*,>+/3 /+ /0 M-45,2>+,>9 ; A:/ +> /34?+

5/0-*,>+-.>3 *>+ 0-3 .,345,C:*,>+/3 ./ M-45,2>+,> /</*4:-.>3 - 0>3 85>8,/4-5,>3F

Page 294: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 294/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !H$

  ?EEH•+OO2  `/5/*@> ./ R0-B/ > ^>+.> ./ K>2/5*,>F K>55/38>+./ - :+ 8-=> /</*4:-.> 8>5

-+4,*,8-*,6+ ./ 0>3 C/+/<,*,>3 /*>+62,*>3 <:4:5>3 A:/ 3/ /38/5- ./ 0-3 3,+/5=,-3 A:/ 3:5D-+ /+ 0-3

>8/5-*,>+/3 ./ .>3 /285/3-3 > *>2> 5/3:04-.> ./ :+- +:/B- -.2,+,345-*,6+F M:.,/5- 85>.:*,53/

:+ ./4/5,>5> ./0 =>>.…,00 3, 0>3 3:*/3>3 A:/ 3/ /38/5-+ 0:/=> ./ 0- -.A:,3,*,6+ +> 3/ 85>.:*/+ ./

-*:/5.> - 0> 85>;/*4-.>F

  "-IO'(-G+1 )+S-+I+G1*+012 70 8>./5 8-5- 8-54,*,8-5 /+ 0-3 ./*,3,>+/3 ./ 8>0Q4,*-3 <,+-+*,/5-3 ;

>8/5-4,B-3 ./ 0- /2,3>5-9 8/5> +> 8-5- *>+45>0-50-3F 10=:+>3 ,+.,*-.>5/3 A:/ 8/52,4/+ ./4/52,+-5

/34- ,+<0:/+*,- 3,=+,<,*-4,B- 3>+a

Ed/85/3/+4-*,6+ /+ /0 `,5/*4>5,>F

EM-54,*,8-*,6+ /+ /0 85>*/3> ./ /345:*4:5-*,6+ ./ 8>0Q4,*-3F

E(5-+3-**,>+/3 2-4/5,-0/3 /+45/ 0- ,+B/53,>+,34- ; 0- -.A:,5,.-F

EZ+4/5*-2C,> ./ 8/53>+-0 =/5/+*,-0F

EM5>B,3,6+ ./ ,+<>52-*,6+ 4)*+,*- /3/+*,-0F

  "-S/()E) E/H+-1/+E)2  W>+ 0- /+45-.- C5:4- ./ C/+/<,*,>3 /*>+62,*>3 A:/ ,+=5/3-+ - 0- /+4,.-.

.:5-+4/ :+ 8/5Q>.>9 85>B/+,/+4/3 ./ 0-3 -*4,B,.-./3 >5.,+-5,-3 ./ :+- /+4,.-.9 *:-+.> /34>3

C/+/<,*,>3 5/3:04-+ /+ :+ -:2/+4> ./0 8-45,2>+,> +> 5/0-*,>+-.> *>+ -8>54/3 8-45,2>+,-0/3

/</*4:-.>3 8>5 0>3 85>8,/4-5,>3 ./ 0- /+4,.-.F

  "-J'-+i1G+,-2  7345-4/=,- ./ 85>4/**,6+ ./ :+ 8>54-<>0,> *>+45- /0 5,/3=> ./ 4-3-3 ./ ,+4/5)39

/0,2,+-+.> 3:3 .>3 *>28>+/+4/3a 5,/3=> ./ 85/*,> ; 5,/3=> ./ 4-3- ./ 5/,+B/53,6+F

  "-*(/e) J+-E/+*1/+E2  1A:/00- 8>5*,6+ ./0 5/3:04-.> ; ./ 0>3 -*4,B>3 +/4>3 ./ :+- -<,0,-.--45,C:,C0/3 - 0-3 8-54,*,8-*,>+/3 8-45,2>+,-0/3 A:/ +> 8/54/+/*/+ .,5/*4- > ,+.,5/*4-2/+4/ - 45-B)3

./ -<,0,-.-39 - 0- /285/3- _-45,OF

  "-)*/'J(-*E H( .1*/+JE-+E2 73 :+ *>+45-4> A:/ 8>+/ ./ 2-+,<,/34> :+- 8-54,*,8-*,6+ 5/3,.:-0

/+ 0>3 -*4,B>3 ./ 0- /+4,.-. 45-3 ./.:*,5 4>.>3 3:3 8-3,B>3F

  "-)*/'J(-*E I+-1-G+(/E2 /3 :+ *>+45-4> A:/ .- 0:=-59 3,2:04?+/-2/+4/9 - :+ -*4,B> <,+-+*,/5> /+

:+- /285/3- ; - :+ 8-3,B> <,+-+*,/5> > :+ ,+345:2/+4> ./ *-8,4-0 /+ >45- /285/3-F

  "-)*/'J(-*E UgX/+HE2 K>55/38>+./ - 0- *>2C,+-*,6+ ./ :+ *>+45-4> -+<,45,6+ ]@>34 *>+45-*49 >

85,+*,8-0[ *>+ :+ ,+345:2/+4> ./5,B-.> ,280Q*,4>9 ./ -*:/5.> - 0> ,+.,*-.> 8>5 0- NZK #HF

   BE+-* C(-*'/(2 1*:/5.> *>+45-*4:-0 /+ A:/ .>3 > 2?3 8-54/3 00/B-+ - *-C> :+- -*4,B,.-.

/*>+62,*- 3:D/4- - *>+45>0 *>+D:+4>F (-2C,)+ 3/ ./<,+/ *>2> :+ -*:/5.> *>+45-*4:-0 8-5-

*>28-54,5 /0 8>./5 ./ *>+45>0-5 0-3 8>0Q4,*-3 <,+-+*,/5-3 ; >8/5-4,B-3 ./ :+- -*4,B,.-. /*>+62,*-F

W/ 8:/./ ,./+4,<,*-5 8>5 0- /U,34/+*,- ./a

Page 295: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 295/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !H%

E\+ *>+45-4> /+45/ 0-3 8-54/3 ,+4/5/3-.-3F

E_,+:4-3 ./ .,3*:3,6+ /+45/ 0-3 8-54/3F

Ee8/5-*,6+ ,+*>58>5-.- /+ -54Q*:0>3 0/=-0/3F

EN>52-02/+4/ /34-C0/*,.- /+ <>52- /3*5,4-F

E70 *>+45>0 ./C/ 3/5 *>+D:+4>9 3,+ 8>3,C,0,.-. ./ *>+3,./5-5 /0 *>+45>0 :+,0-4/5-0F

  <e*EHE H( GEJT/12 73 :+ 2)4>.> ./ *>+4-C,0,O-*,6+ :4,0,O-.> /+ *>2C,+-*,>+/3 ./ +/=>*,>39

*:-+.> :+- /+4,.-. /3 -.A:,5,.- 8>5 >45-F 734-C0/*/ :+- +:/B- C-3/ ./ *>+4-C,0,O-*,6+ 8-5- 0-

,+B/53,>+,34-F

  4XO+S1G+,- +JTOgG+*12 73 -A:)00- A:/ 3/ ./5,B- ./ 0-3 -*4:-*,>+/3 ./ 0- 85>8,- /+4,.-.9 /+ 0-3 A:/a

]-[ ./C,.> - :+ 8-456+ /34-C0/*,.> ./ *>28>54-2,/+4> /+ /0 8-3-.>9 - +>52-3 ./ *>+>*,2,/+4>

8bC0,*> > - :+- ./*0-5-*,6+ /</*4:-.- ./ <>52- 3:<,*,/+4/2/+4/ *>+*5/4-9 0- /+4,.-. @-;- 8:/34>

./ 2-+,<,/34> -+4/ 4/5*/5>3 A:/ /34? .,38:/34- - -*/84-5 *,/54> 4,8> ./ 5/38>+3-C,0,.-./3X ;

]C[ *>2> *>+3/*:/+*,- ./ 0> -+4/5,>59 0- /+4,.-. @-;- *5/-.> :+- /U8/*4-4,B- B?0,.-9 -+4/ -A:/00>3

4/5*/5>3 *>+ 0>3 A:/ ./C/ *:280,5 3:3 *>285>2,3>3 > 5/38>+3-C,0,.-./3F

  4TG+,-2 73 :+ *>+45-4> A:/ >4>5=- -0 4/+/.>5 /0 ./5/*@> ./ *>285-5 ]> B/+./5[ :+ -*4,B> ]8>5

/D/280>9 :+- -**,6+ > :+ C>+>[ - :+ ./4/52,+-.> 85/*,> /+ :+ 8/5Q>.> /38/*Q<,*> ./ 4,/28>F J-;

8>5 0> 2/+>3 .>3 *0-3/3 ./ >8*,>+/3a

  .1)+0E2 eC0,=-*,6+ 85/3/+4/ ./ 0- /285/3-9 3:5=,.- - 5-QO ./ @/*@>3 8-3-.>39 -0 B/+*,2,/+4> ./ 0-

*:-0 ; 8-5- 8-=-50-9 0- /285/3- /38/5- ./385/+./53/ ./ 5/*:53>3 A:/ ,+*>58>5-+ C/+/<,*,>3

/*>+62,*>3F  .1)+0E L+-1-G+(/E2  /3 :+ *>285>2,3> A:/ 3:8>+/ :+- >C0,=-*,6+ *>+45-*4:-0a

]-[ ./ /+45/=-5 .,+/5> : >45> -*4,B> <,+-+*,/5> - >45- /285/3-9 >

]C[ ./ ,+4/5*-2C,-5 ,+345:2/+4>3 <,+-+*,/5>3 *>+ >45- /285/3-9 C-D> *>+.,*,>+/3 A:/ 3>+

8>4/+*,-02/+4/ ./3<-B>5-C0/3F

  .1)+0E %E//+(-*(2  \+ 8-3,B> ./C/ *0-3,<,*-53/ *>2> *>55,/+4/ *:-+.>a

]-[ 3/ /38/5- 0,A:,.-5 /+ /0 *:53> +>52-0 ./ 0- >8/5-*,6+ ./ 0- /285/3-9 > C,/+

]C[ ./C/ 0,A:,.-53/ ./+45> ./0 8/5,>.> ./ .>*/ 2/3/3 ./3./ 0- </*@- ./0 C-0-+*/F

 (>.>3 0>3 ./2?3 8-3,B>3 ./C/+ *0-3,<,*-53/ *>2> +> *>55,/+4/3F

  .1)+0E) TE/ +JT'()*E) H+I(/+HE)2 W>+ 0>3 2>+4>3 ./ ,28:/34>3 - 0- 5/+4- 8>5 8-=-5 /+ 8/5Q>.>3

<:4:5>3 5/38/*4> - .,</5/+*,-3 4/28>5-5,-3 45,C:4-C0/3F

  .1)+0E -E GE//+(-*(2 \+ -*4,B> A:/ +> *:280- 0- ./<,+,*,6+ ./ -*4,B> *>55,/+4/F

  .1*/+JE-+E2 R- 8-54/ 5/3,.:-0 /+ 0>3 -*4,B>3 ./ 0- /285/3-9 :+- B/O ./.:*,.>3 4>.>3 3:3 8-3,B>3F

Page 296: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 296/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !H&

  .(/gEHE GE-*1XO( +-*(/J(H+E2 73 4>.> 8/5Q>.> *>+4-C0/ 2/+>5 A:/ :+> -+:-0 *>280/4>F

  .(/)E-1O GO10( H( O1 H+/(GG+,-2 M/53>+-3 A:/ 4,/+/+ -:4>5,.-. ; 5/38>+3-C,0,.-. 8-5- 80-+,<,*-59

.,5,=,5 ; *>+45>0-5 0-3 -*4,B,.-./3 ./ 0- /+4,.-.9 ;- 3/- .,5/*4- > ,+.,5/*4-2/+4/9 ,+*0:;/+.>

*:-0A:,/5 .,5/*4>5 ]3/- > +> /D/*:4,B>[ ./ /00-F

  .EOg*+G1) GE-*1XO()2  R-3 8>0Q4,*-3 > 85?*4,*-3 *>+4-C0/3 3>+ 0>3 85,+*,8,>39 2)4>.>39

*>+B/+*,>+/39 5/=0-3 ; 85>*/.,2,/+4>3 -.>84-.>3 8>5 0- /285/3- /+ 0- 85/8-5-*,6+ ; 85/3/+4-*,6+

./ 3:3 /34-.>3 <,+-+*,/5>3F

  ./E0+)+,-2 73 :+ 8-3,B> /+ /0 A:/ /U,34/ ,+*/54,.:2C5/ -*/5*- ./ 3: 2>+4> > B/+*,2,/+4>F

  ./'(X1 H( )'I+G+(-G+1 H(O T1)+0E2 \+- /B-0:-*,6+ ./ 3, /0 B-0>5 ./ 0,C5>3 ./ :+ 8-3,B> ./5,B-.>

./ *>+45-4> ./ 3/=:5>3 +/*/3,4- 3/5 ,+*5/2/+4-.> ]> C,/+ .,32,+:,.>3 0>3 B-0>5 ./ 0,C5>39

5/0-*,>+-.>3 *>+ /0 8-3,B>9 ./ 0>3 *>34>3 ./ -.A:,3,*,6+ .,</5,.>3 > ./ 0>3 -*4,B>3 ,+4-+=,C0/3[9 -

8-54,5 ./ :+- 5/B,3,6+ ./ 0>3 <0:D>3 ./ /</*4,B> <:4:5>3F

  =+()SE H( *+TE H( G1JX+E2 70 5,/3=> A:/ /0 B-0>5 D:34> > 0>3 <0:D>3 ./ /</*4,B> <:4:5>3 ./ :+

,+345:2/+4> <,+-+*,/5> 8:/.-+ <0:*4:-5 *>2> *>+3/*:/+*,- ./ B-5,-*,>+/3 /+ 0>3 4,8>3 ./ *-2C,>

./ :+- 2>+/.- /U45-+D/5-F

  =+()SE H( *1)1 H( +-*(/e)2 70 5,/3=> A:/ /0 B-0>5 D:34> > 0>3 <0:D>3 ./ /</*4,B> <:4:5>3 ./ :+

,+345:2/+4> <,+-+*,/5> 8:/.-+ <0:*4:-5 *>2> *>+3/*:/+*,- ./ B-5,-*,>+/3 /+ 0-3 4-3-3 ./ ,+4/5)3

./ 2/5*-.>F

  :(SJ(-*E ET(/1*+0E2  \+ 3/=2/+4> >8/5-4,B> /3 :+ *>28>+/+4/ ./ :+- /+4,.-.a

]-[ A:/ 8-54,*,8- /+ -*4,B,.-./3 ./ +/=>*,> ./ 0-3 *:-0/3 8:/./ 5/*,C,5 ,+=5/3>3 / ,+*:55,5 =-34>3],+*0:;/+.> ,+=5/3>3 ; =-34>3 5/0-*,>+-.>3 *>+ 45-+3-**,>+/3 *>+ >45>3 *>28>+/+4/3 ./ 0- 2,32-

/+4,.-.[9

]C[ *:;>3 5/3:04-.>3 >8/5-*,>+-0/3 3>+ 5/B,3-.>3 5/=:0-52/+4/ 8>5 /0 /D/*:4,B> 85,+*,8-0 A:/ 4>2-

0-3 ./*,3,>+/3 ./ 0- /+4,.-. 8-5- 4>2-5 ./*,3,>+/3 5/38/*4> ./ 0>3 5/*:53>3 A:/ 3/5?+ -3,=+-.>3 -0

3/=2/+4> ; /B-0:-5 3: ./3/28/V>9 ;

]*[ 8-5- /0 *:-0 /U,34/ ,+<>52-*,6+ <,+-+*,/5- 3/8-5-.-F

  :+S-+I+G1G+,- bE +JTE/*1-G+1 /(O1*+01R2 R-3 >2,3,>+/3 > /55>5/3 ./ 8-54,.-3 3>+ 3,=+,<,*-4,B-3 ]>

4,/+/+ ,28>54-+*,- 5/0-4,B-[ 3, 8:/./+9 ,+.,B,.:-02/+4/ > /+ 3: *>+D:+4>9 ,+<0:,5 /+ 0-3 ./*,3,>+/3

/*>+62,*-3 4>2-.-3 8>5 0>3 :3:-5,>3 *>+ C-3/ /+ 0>3 /34-.>3 <,+-+*,/5>3F R- 3,=+,<,*-*,6+ ]>

,28>54-+*,- 5/0-4,B-[ ./8/+./ ./ 0- 2-=+,4:. ; 0- +-4:5-0/O- ./ 0- >2,3,6+ > /55>5 /B-0:-.>3 /+

<:+*,6+ ./ 0-3 *,5*:+34-+*,-3 8-54,*:0-5/3 /+ A:/ 3/ @-;-+ 85>.:*,.>F R- 2-=+,4:. > 0- +-4:5-0/O-

./ 0- 8-54,.-9 > :+- *>2C,+-*,6+ ./ -2C-39 8>.5Q- 3/5 /0 <-*4>5 ./4/52,+-+4/F

Page 297: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 297/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !HI

  :'X0(-G+E-() /(O1G+E-1H1) GE- 1G*+0E)2  W>+ 3:CB/+*,>+/3 =:C/5+-2/+4-0/3 *:;>

>4>5=-2,/+4> ,280,*- A:/ 0- /+4,.-. C/+/<,*,-5,- ./C,/5- *>285-59 *>+345:,5 > -.A:,5,5 ./ *:-0A:,/5

>45- <>52- -*4,B>3 - 0-5=> 80-O>F M:/./+ 4-2C,)+ /34-C0/*/53/ *>+.,*,>+/3 -.,*,>+-0/3

5/345,+=,/+.> /0 4,8> > :C,*-*,6+ ./ 0>3 -*4,B>39 > C,/+ 0>3 8/5Q>.>3 .:5-+4/ 0>3 *:-0/3 @-+ ./ 3/5

-.A:,5,.>3 > 2-+4/+,.>3F

  5/1-)1GG+,- GE- T1SE) X1)1HE) (- 1GG+E-()2 \+- 45-+3-**,6+ /+ A:/ 0- /+4,.-. 5/*,C/ C,/+/3

> 3/5B,*,>3 *>2> *>+45-8-54,.- ./ 0>3 ,+345:2/+4>3 ./ 8-45,2>+,> ./ 0- 2,32- /+4,.-.

],+*0:;/+.> -**,>+/3 : >8*,>+/3 3>C5/ -**,>+/3[9 > -.A:,/5/ C,/+/3 ; 3/5B,*,>3 ,+*:55,/+.> /+

8-3,B>3 *>+ /0 85>B//.>5 ./ /3>3 C,/+/3 > 3/5B,*,>39 8>5 2>+4>3 A:/ 3/ C-3-+ /+ /0 85/*,> ./ 0-3

-**,>+/3 ./ 0- /+4,.-. > ./ >45>3 ,+345:2/+4>3 ./ 8-45,2>+,> ./ 0- 2,32-F

  5/1-)1GG+E-() (-*/( T1/*() /(O1G+E-1H1)2  73 4>.- 45-+3</5/+*,- ./ 5/*:53>39 3/5B,*,>3 :

>C0,=-*,>+/3 /+45/ 8-54/3 5/0-*,>+-.-39 *>+ ,+./8/+./+*,- A:/ 3/ *>C5/ > +> :+ 85/*,>F

  >?&2 \+,.-. L/+/5-.>5- ./ 7</*4,B>9 > KL\ ]K-3@ L/+/5-4,+= \+,4[F 73 /0 =5:8> ,./+4,<,*-C0/

./ -*4,B>3 2?3 8/A:/V>9 A:/ =/+/5- ,+=5/3>3 ./ /</*4,B> - <-B>5 ./ 0- /+4,.-. A:/ 3>+9 /+ C:/+-

2/.,.-9 ,+./8/+.,/+4/3 ./ 0>3 <0:D>3 ./ /</*4,B> ./5,B-.>3 ./ >45>3 -*4,B>3 > =5:8>3 ./ -*4,B>3F

   C1OE/ T1*/+JE-+1O2  73 :+ 2)4>.> ./ *>+4-C,0,O-*,6+ 3/=b+ /0 *:-0 0- ,+B/53,6+ 3/ 5/=,345-

,+,*,-02/+4/ -0 *>34> ; /3 -D:34-.-9 8>34/5,>52/+4/9 /+ <:+*,6+ ./ 0>3 *-2C,>3 A:/ /U8/5,2/+4-9

45-3 0- -.A:,3,*,6+9 0- 8-54,*,8-*,6+ ./0 ,+B/53,>+,34- /+ 0>3 -*4,B>3 +/4>3 ./ 0- /+4,.-. /+ A:/ 3/

,+B,/54/F 70 5/3:04-.> ./0 8/5Q>.> ./0 ,+B/53,>+,34- ,+*0:;/ 0- 8>5*,6+ A:/ 0/ *>55/38>+.- /+ 0>3

5/3:04-.>3 ./ 0- /+4,.-. /+ 0- A:/ 3/ ,+B,/54/F   C1OE/ (- ')E2 70 B-0>5 /+ :3> ./ :+ -*4,B> *>55/38>+./ -0 B-0>5 85/3/+4/ +/4> ./ 0>3 <:4:5>3

<0:D>3 ./ *-D- A:/ 3/ /38/5- 3/-+ =/+/5-.>3 8>5 /0 -*4,B>F W/ *-0*:0- -80,*-+.> :+- 4-3- ./

./3*:/+4> 5/0/B-+4/ -D:34-.- -0 5,/3=>9 -+4/3 ./ ,28:/34>39 3>C5/ 0>3 <:4:5>3 <0:D>3 ./ *-D-

/38/5-.>39 -+4/3 ./ ,28:/34>3F

   C1OE/ P')*E H( '- 1G*+0E2 73 /0 2>+4> 8>5 /0 *:-0 8>.5Q- 3/5 ,+4/5*-2C,-.> :+ -*4,B> /+45/ 8-54/3

,+4/5/3-.-3 ; ./C,.-2/+4/ ,+<>52-.-39 /+ :+- 45-+3-**,6+ 5/-0,O-.- /+ *>+.,*,>+/3 ./

,+./8/+./+*,- 2:4:-F

   C1OE/ /(G'T(/1XO(a 70 B-0>5 5/*:8/5-C0/ ./ :+ -*4,B> /3 /0 2-;>5 /+45/ 3: B-0>5 5-O>+-C0/ ; 3:

 B-0>5 /+ :3>F 7+ /34/ *>+4/U4> /0 B-0>5 5-O>+-C0/ *>55/38>+./ -0 B-0>5 ./ B/+4- +/4> ./0 -*4,B>9

/+4/+.,)+.>3/ A:/ /0 *>+*/84> ./ B-0>5 +/4> 3/ 5/<,/5/ - 0- ./.:**,6+ ./ 0>3 *>34>3 /+ /0 8:+4> ./

 B/+4-F 70 B-0>5 5-O>+-C0/ +> 3,/285/ 8:/./ 3/5 *-0*:0-.>9 /38/*,-02/+4/ *:-+.> +> /U,34/ :+

2/5*-.> -*4,B> 8-5- /0 C,/+9 /+ *:;> *-3> /0 B-0>5 5/*:8/5-C0/ *>55/38>+./5? -0 B-0>5 /+ :3>F 734/

Page 298: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 298/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !Hc

 B-0>5 5/*:8/5-C0/ 8:/./ 3/5 2/.,.> 8-5- 0>3 -*4,B>3 ,+.,B,.:-02/+4/ *>+3,./5-.>3 > C,/+ 8-5-

:+,.-./3 =/+/5-.>5-3 ./ /</*4,B>F

   C+H1 n*+O2 73a

]-[ /0 8/5Q>.> .:5-+4/ /0 *:-0 3/ /38/5- :4,0,O-5 /0 -*4,B> ./85/*,-C0/ 8>5 8-54/ ./ 0- /285/3-X > C,/+

]C[ /0 +b2/5> ./ :+,.-./3 ./ 85>.:**,6+ > 3,2,0-5/3 A:/ 3/ /38/5- >C4/+/5 ./0 2,32> 8>5 8-54/

./ 0- /285/3-F

Page 299: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 299/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) !HH

3V;3K  6 #&d4 3K2 748&5W# 5a%#"%4 #y 3 $&8 %48&?"4 $& %4#56$4=&:;

7EO(*g- 5eG-+GE #y 3 H(O %EO(S+E H( %E-*1HE/()

 (/>5Q- C?3,*- ./ 0- *>+4-C,0,.-.F

Z 10*-+*/ ./0 S>0/4Q+

ZZ eCD/4,B>3 C?3,*>3 ./ 0- *>+4-C,0,.-. ; *-5-*4/5Q34,*-3 ./ 0- ,+<>52-*,6+ <,+-+*,/5-

ZZZ M5,+*,8,>3 *>+4-C0/3

GF 

7A:,.-.!F  7+4,.-. *>+4-C0/

#F  7285/3- /+ 2-5*@-

$F  S,/+/3 /*>+62,*>3

%F  _>+/.-

&F  M/5Q>.> ./ 4,/28>

IF  `/B/+=-.>

cF  d/-0,O-*,6+

HF  K>34> J,3465,*>GPF eCD/4,B,.-.

GGF K5,4/5,> 85:./+*,-0

G!F W,=+,<,*-*,6+ > ,28>54-+*,- 5/0-4,B-

G#F \+,<>52,.-.

G$F K>+4/+,.> ./ <>+.> 3>C5/ 0- <>52-

G%F `:-0,.-. /*>+62,*-

G&F d/0-*,6+ <:+.-2/+4-0 ./ 0>3 /34-.>3 <,+-+*,/5>3

GIF eCD/4,B>3 =/+/5-0/3 ./ 0- ,+<>52-*,6+ <,+-+*,/5-

GcF 7U8>3,*,6+

Zf N>52-3 *>+4-C0/3

L/+/5-0/3

Page 300: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 300/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) #PP

738/*Q<,*-3

 f N>52-3 *>+4-C0/3 =/+/5-0/3

eCD/4,B> 1 E d/0-4,B> - *:/+4-3 ./ 5/3:04-.>

eCD/4,B> S E d/0-4,B> -0 8-45,2>+,>

eCD/4,B> K E d/0-4,B> - *:/+4-3 ./ -*4,B>

eCD/4,B> ` E d/0-4,B> - >C0,=-*,>+/3 ./ 0- /+4,.-.

 fZ 7U80,*-*,6+ ./ *>+*/84>3 :4,0,O-.>3

" 68%6#%& $&8 748&5W#

734/ S>0/4Q+ 4,/+/ *>2> >CD/4> ./D-5 /34-C0/*,.- 0- 4/>5Q- C?3,*- /+ 0- *:-0 3/ <:+.-2/+4-+ 0>3 85,+*,8,>3 ;

+>52-3 =/+/5-0/3 ./ 0- *>+4-C,0,.-. <,+-+*,/5-F

"" 47B&5"C4: 79:"%4: $& 86 %4#567"8"$6$ Z %6=6%5&=W:5"%6: $& 86

"#L4=<6%"@# L"#6#%"&=6

70 >CD/4,B> ./ 0- *>+4-C,0,.-. /3 85>B//5 ,+<>52-*,6+ *:-+4,4-4,B- ; >8>54:+- /+ <>52- /345:*4:5-.- ;

3,34/2?4,*- 3>C5/ 0-3 >8/5-*,>+/3 ./ :+- /+4,.-.9 *>+3,./5-+.> 0>3 /B/+4>3 /*>+62,*>3 A:/ 0- -</*4-+9

8-5- 8/52,4,5 - )34- ; - 4/5*/5>3 0- 4>2- ./ ./*,3,>+/3 3>*,-0/39 /*>+62,*-3 ; 8>0Q4,*-3F M-5- /0 /+4/ /+ 3Q/34> ,+B>0:*5- :+ /0/2/+4> ,28>54-+4/ ./ *>+45>09 /<,*,/+*,- >8/5-4,B- ; 80-+,<,*-*,6+F

R-3 *-5-*4/5Q34,*-3 *:-0,4-4,B-3 ./ 0- ,+<>52-*,6+ *:-+4,4-4,B- 8:/./+ 5/3:2,53/ /+a

  W,=+,<,*-*,6+9 A:/ /3 0- 5/0-*,6+ /345/*@- A:/ /U,34/ /+45/ 0- ,+<>52-*,6+ ; 0- 5/-0,.-. A:/ )34-

5/85/3/+4-9 8-5- 0- A:/ -./2?3 3/ 5/A:,/5/ B/5-*,.-. ./ 0>3 .-4>3 ; *>28-5-C,0,.-. ./ 0- ,+<>52-*,6+F

  K>+<,-C,0,.-.9 A:/ /3 0- *-5-*4/5Q34,*- /38/5-.- 8>5 /0 :3:-5,>9 8-5- 0- A:/ 3/ 5/A:,/5/ >CD/4,B,.-. ;

 B/5,<,*-C,0,.-. ./ 0- ,+<>52-*,6+F

  \4,0,.-.9 5/A:,3,4> A:/ ,+B>0:*5- A:/ /+ /0 4>.> 3/ ./34-A:/ 0- ,+<>52-*,6+ 5/0/B-+4/9 /+ <>52-

>8>54:+-9 ,+*0:;/+.> -A:/00-3 >8/5-*,>+/3 -b+ +> <,+,A:,4-.-3F

R>3 /34-.>3 <,+-+*,/5>3 3>+ /0 2/.,> 8>5 /0 *:-0 0- ,+<>52-*,6+ *:-+4,4-4,B- -*:2:0-.-9 85>*/3-.- ;

-+-0,O-.- 8>5 0- *>+4-C,0,.-. /3 8/5,6.,*-2/+4/ *>2:+,*-.- - -A:/00>3 A:/ 0- :3-+F

Page 301: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 301/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) #PG

W/ *>+3,./5-+ /34-.>3 <,+-+*,/5>3 C?3,*>3a ]G[ /0 C-0-+*/ =/+/5-0 > /34-.> ./ 3,4:-*,6+ <,+-+*,/5-9 A:/

*>55/38>+./ -0 8-45,2>+,> 5/3:04-+4/ ./ 0- .,</5/+*,-9 - :+- </*@-9 /+45/ 0>3 5/*:53>3 ]-*4,B>3[ ;

>C0,=-*,>+/3 /*>+62,*-3 ]8-3,B>3[ ; ]![ /0 /34-.> > *:/+4- ./ 5/3:04-.> A:/ ,+.,*- *62> 8>5 0- >8/5-*,6+

./ 0- /+4,.-. /*>+62,*-9 @- B-5,-.> .,*@> 8-45,2>+,> .:5-+4/ :+ 8/5Q>.> /38/*Q<,*> ]/D/5*,*,> <,+-+*,/5>[F

K>+ /0 >CD/4> A:/ 4-0/3 /34-.>3 4/+=-+ 0-3 *-5-*4/5Q34,*-3 *:-0,4-4,B-3 -+4/3 ,+.,*-.-3 ; 8:/.-+ 3/5

/+4/+.,.>3 8>5 4/5*/5>39 /3 +/*/3-5,> A:/ 3/-+ 85/8-5-.>3 *>+ 3:D/*,6+ - :+ *:/58> ./ 5/=0-3 >

*>+B/+*,>+/3 85/B,-2/+4/ *>+>*,.-3 ; ./ -*/84-*,6+ =/+/5-0F

R>3 4)52,+>3 4-0/3 *>2> -U,>2-9 8>34:0-.>9 85,+*,8,>9 +>52-9 85>*/.,2,/+4>9 *-+>+ ; 5/=0-2/+4>9 /+45/

>45>39 3>+ :4,0,O-.>3 /+ =/+/5-09 3,+ A:/ /U,34- :+ -*:/5.> 5/38/*4> - 3: 3,=+,<,*-.> 85/*,3>F K>+ /0 >CD/4>

./ *0-5,<,*-5 /34- 3,4:-*,6+ ; *>+3,./5-+.> 0>3 :3>3 /+ K@,0/ ; 5/*>2/+.-*,>+/3 ./ K>+</5/+*,-3

Z+4/5-2/5,*-+-3 ./ K>+4-C,0,.-.9 3/ /34,2- A:/ ./C/+ :4,0,O-53/ C?3,*-2/+4/ 0>3 4)52,+>3a '85,+*,8,>3' ;

'+>52-3'F

R>3 '85,+*,8,>3' 3>+ 8>*>3 ; 5/85/3/+4-+ 0-3 85/3:+*,>+/3 C?3,*-3 3>C5/ 0-3 A:/ ./3*-+3-+ 0-3 +>52-3F

N/*/3-5,-2/+4/ ./5,B-+ ./ 0>3 <-*4>5/3 /*>+62,*>3 ; 8>0Q4,*>3 ./0 2/.,> -2C,/+4/9 ./ 0-3 <>52-3 ./

8/+3-5 ; ./ 0-3 *>34:2C5/3 ./ 4>.>3 0>3 3/=2/+4>3 ./ 0- *>2:+,.-. A:/ ,+B>0:*5- -0 2:+.> ./ 0>3

+/=>*,>3F R- 85></3,6+9 ./C/ 80-+4/-5 *0-5-2/+4/ *:?0 /3 3: ,+4/585/4-*,6+ ; A:) 5/85/3/+4-+9 8-5- 8/52,4,5

0- <>52:0-*,6+ ./ '+>52-3' ; /0 ./3-55>00> ./ 85>*/.,2,/+4>3 > 2)4>.>3 8-5- -80,*-*,6+ /+ *-.- 3,4:-*,6+

/38/*Q<,*-F

 1 *>+4,+:-*,6+ 3/ 5/3:2/+ 0>3 '85,+*,8,>3 *>+4-C0/3 ./ -*/84-*,6+ =/+/5-0'9 0>3 A:/ 3>+ ./4/52,+-.>3

8>5 0-3 *-5-*4/5Q34,*-3 ./0 2/.,> -2C,/+4/ /+ /0 *:-0 3/ ./3/+B:/0B/ 0- *>+4-C,0,.-.F

Page 302: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 302/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) #P!

""" .="#%"."4: %4#5678&:

R- *>+4-C,0,.-.9 *>2> *,/+*,- A:/ ,+4/585/4- 0>3 @/*@>3 /*>+62,*>3 ./ 0>3 +/=>*,>3 ; 0>3 >5./+- /+

<>52- ./ *:/+4-3 8-5- 3: *>+45>0 ; 85/3/+4-*,6+9 ./3*-+3- /+ 85,+*,8,>3 A:/ 3>+ 0- C-3/ 3>C5/ 0- A:/ 3/

@-+ ,.> *>+345:;/+.> 0>3 8,0-5/3 A:/ 0- 3:34/+4-+9 ; A:/ @-+ 3,.> ./<,+,.>3 ./ -*:/5.> *>+ 0- /U8/5,/+*,-

./ +:/345- 85></3,6+ *>+4-C0/ ; /0 -<?+ *>+34-+4/ ./ 3:8/5-*,6+ ; Cb3A:/.- ./ 0- 2/D>5 2-+/5- ./

,+4/585/4-5 0>3 @/*@>3 /*>+62,*>3 /+ /0 2:+.> ./ 0>3 +/=>*,>3F

3 &f'+H1H

R- /A:,.-. /+45/ ,+4/5/3/3 >8:/34>3 ./C/ 3/5 :+- 85/>*:8-*,6+ *>+34-+4/ /+ *>+4-C,0,.-.9 8:/34> A:/ 0>3

A:/ 3/ 3,5B/+ ./9 > :4,0,O-+ 0>3 .-4>3 *>+4-C0/39 8:/./+ /+*>+45-53/ -+4/ /0 @/*@> ./ A:/ 3:3 ,+4/5/3/3

8-54,*:0-5/3 3/ @-00/+ /+ *>+<0,*4>F `/ /34> 3/ ./385/+./ A:/ 0>3 /34-.>3 <,+-+*,/5>3 ./C/+ 85/8-5-53/ ./

4-0 2>.> A:/ 5/<0/D/+ *>+ /A:,.-. 0>3 .,34,+4>3 ,+4/5/3/3 /+ D:/=> /+ :+- /+4,.-. .-.-F 734/ 85,+*,8,> /+/0 <>+.> /3 /0 8>34:0-.> C?3,*> > 85,+*,8,> <:+.-2/+4-0 -0 A:/ /34? 3:C>5.,+-.> /0 5/34>F

A &-*+H1H GE-*1XO(

R>3 /34-.>3 <,+-+*,/5>3 3/ 5/<,/5/+ - /+4,.-./3 /*>+62,*-3 /38/*Q<,*-39 A:/ 3>+ .,34,+4-3 -0 .:/V> >

.:/V>3 ./ 0- 2,32-F

D &JT/()1 (- J1/GU1

W/ 85/3:2/ A:/ +> /U,34/ :+ 0Q2,4/ ./ 4,/28> /+ 0- *>+4,+:,.-. >8/5-*,>+-0 ./ 0- /+4,.-. /*>+62,*- ;9

8>5 *>+3,=:,/+4/9 0-3 *,<5-3 85/3/+4-.-3 +> /34?+ 5/<0/D-.-3 - 3:3 B-0>5/3 /34,2-.>3 ./ 5/-0,O-*,6+F 7+ 0>3

*-3>3 /+ A:/ /U,34-+ /B,./+*,-3 <:+.-.-3 A:/ 85:/C/+ 0> *>+45-5,>9 ./C/5? ./D-53/ *>+34-+*,- ./ /34/

@/*@> ; 3: /</*4> 3>C5/ 0- 3,4:-*,6+ <,+-+*,/5-F

K 7+(-() (GE-,J+GE)

R>3 /34-.>3 <,+-+*,/5>3 3/ 5/<,/5/+ - @/*@>39 5/*:53>3 ; >C0,=-*,>+/3 /*>+62,*-3 3:3*/84,C0/3 ./ 3/5 B-0>5,O-.>3 /+ 4)52,+>3 2>+/4-5,>3F

Q <E-(H1

R- *>+4-C,0,.-. 2,./ /+ 4)52,+>3 2>+/4-5,>39 0> A:/ 8/52,4/ 5/.:*,5 4>.>3 3:3 *>28>+/+4/3

@/4/5>=)+/>3 - :+ *>2b+ ./+>2,+-.>5F

Page 303: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 303/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) #P#

V .(/gEHE H( *+(JTE

R>3 /34-.>3 <,+-+*,/5>3 5/3:2/+ 0- ,+<>52-*,6+ 5/0-4,B- - 8/5Q>.>3 ./4/52,+-.>3 ./ 4,/28>9 0>3 A:/ 3>+

*>+<>52-.>3 8>5 /0 *,*0> +>52-0 ./ >8/5-*,>+/3 ./ 0- /+4,.-.9 8>5 5/A:/5,2,/+4>3 0/=-0/3 : >45>3F

Y $(0(-S1HE

R- ./4/52,+-*,6+ ./ 0>3 5/3:04-.>3 ./ >8/5-*,6+ ; 0- 8>3,*,6+ <,+-+*,/5- ./C/+ 4>2-5 /+ *>+3,./5-*,6+

4>.>3 0>3 5/*:53>3 ; >C0,=-*,>+/3 ./0 8/5Q>.>9 -:+A:/ )34>3 @-;-+ 3,.> > +> 8/5*,C,.>3 > 8-=-.>39 *>+ /0

>CD/4> A:/ ./ /34- 2-+/5- 0>3 *>34>3 ; =-34>3 8:/.-+ 3/5 ./C,.-2/+4/ 5/0-*,>+-.>3 *>+ 0>3 5/38/*4,B>3

,+=5/3>3 A:/ =/+/5-+F

[ =(1O+i1G+,-

R>3 5/3:04-.>3 /*>+62,*>3 360> ./C/+ *>28:4-53/ *:-+.> 3/-+ 5/-0,O-.>39 > 3/-9 *:-+.> 0- >8/5-*,6+

A:/ 0-3 >5,=,+- A:/.- 8/5</**,>+-.- ./3./ /0 8:+4> ./ B,34- ./ 0- 0/=,30-*,6+ > 85?*4,*-3 *>2/5*,-0/3

-80,*-C0/3 ; 3/ @-;-+ 8>+./5-.> <:+.-.-2/+4/ 4>.>3 0>3 5,/3=>3 ,+@/5/+4/3 - 4-0 >8/5-*,6+F `/C/

/34-C0/*/53/ *>+ *-5?*4/5 =/+/5-0 A:/ /0 *>+*/84> '5/-0,O-.>' 8-54,*,8- ./0 *>+*/84> ./ ./B/+=-.>F

^ %E)*E U+)*,/+GE

70 5/=,345> ./ 0-3 >8/5-*,>+/3 3/ C-3- /+ *>34>3 @,3465,*>3 ]85>.:**,6+9 -.A:,3,*,6+ > *-+D/[9 3-0B> A:/8-5- *>+*>5.-5 *>+ >45>3 85,+*,8,>3 3/ D:34,<,A:/ 0- -80,*-*,6+ ./ :+ *5,4/5,> .,</5/+4/ ]B-0>5 ./

5/-0,O-*,6+[F R-3 *>55/**,>+/3 ./ 0-3 <0:*4:-*,>+/3 ./0 B-0>5 ./ 0- 2>+/.-9 +> *>+34,4:;/+ -04/5-*,>+/3 -

/34/ 85,+*,8,>9 3,+> 2/5>3 -D:34/3 - 0- /U85/3,6+ +:2/5-5,- ./ 0>3 5/38/*4,B>3 *>34>3F

3` 4XP(*+0+H1H

R>3 *-2C,>3 /+ -*4,B>39 8-3,B>3 ; 8-45,2>+,> ./C/+ 3/5 *>+4-C,0,O-.>3 4-+ 85>+4> 3/- 8>3,C0/ 2/.,5 /3>3

*-2C,>3 >CD/4,B-2/+4/F

33 %/+*(/+E T/'H(-G+1O

R- 2/.,*,6+ ./ 5/*:53>3 ; >C0,=-*,>+/3 /+ 0- *>+4-C,0,.-.9 5/A:,/5/ A:/ /34,2-*,>+/3 3/-+ ,+*>58>5-.-3

8-5- 0>3 /</*4>3 ./ .,345,C:,5 *>34>39 =-34>3 / ,+=5/3>3 /+45/ 8/5Q>.>3 ./ 4,/28> 5/0-4,B-2/+4/ *>54>3 ;

Page 304: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 304/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) #P$

/+45/ .,B/53-3 -*4,B,.-./3F R- 85/8-5-*,6+ ./ /34-.>3 <,+-+*,/5>39 8>5 0> 4-+4>9 5/A:,/5/ A:/ :+ *5,4/5,>

3-+> 3/- -80,*-.> /+ 0- 3/0/**,6+ ./ 0- C-3/ - /280/-5 8-5- 0>=5-5 :+- ./*,3,6+ 85:./+4/F 734> ,+B>0:*5-

A:/ -+4/ .>3 > 2?3 -04/5+-4,B-3 ./C/ /0/=,53/ 0- 2?3 *>+3/5B-.>5-F 734/ *5,4/5,> +> ./C/ 3/5 -</*4-.> 8>5

0- 85/3:+*,6+ A:/ 0>3 /34-.>3 <,+-+*,/5>3 8>.5Q-+ 3/5 85/8-5-.>3 /+ C-3/ - :+- 3/5,/ ./ 5/=0-3 ,+<0/U,C0/3F

7+ 4>.> *-3> 0>3 *5,4/5,>3 -.>84-.>3 ./C/+ 3/5 3:<,*,/+4/2/+4/ *>285>C-C0/3 8-5- 8/52,4,5 :+

/+4/+.,2,/+4> ./0 5-O>+-2,/+4> A:/ 3/ -80,*6F

3A :+S-+I+G1G+,- E +JTE/*1-G+1 /(O1*+01

 10 8>+./5-5 0- *>55/*4- -80,*-*,6+ ./ 0>3 85,+*,8,>3 ; +>52-39 ./C/ +/*/3-5,-2/+4/ -*4:-53/ *>+ 3/+4,.>

85?*4,*>F ^5/*:/+4/2/+4/ 3/ 85/3/+4-+ 3,4:-*,>+/3 A:/ +> /+*:-.5-+ *>+ 0>3 85,+*,8,>3 ; +>52-3

-80,*-C0/3 ; A:/9 3,+ /2C-5=>9 +> 85/3/+4-+ 85>C0/2-3 ./C,.> - A:/ /0 /</*4> A:/ 85>.:*/+ +>

.,34>53,>+- - 0>3 /34-.>3 <,+-+*,/5>3 *>+3,./5-.>3 /+ 3: *>+D:+4>F `/3./ 0:/=>9 +> /U,34/ :+- 0Q+/-

./2-5*-4>5,- A:/ <,D/ 0>3 0Q2,4/3 ./ 0> A:/ /3 ; +> /3 3,=+,<,*-4,B>9 ; ./C/ -80,*-53/ /0 2/D>5 *5,4/5,> 8-5-

5/3>0B/5 0> A:/ *>55/38>+.- /+ *-.- *-3> ./ -*:/5.> *>+ 0-3 *,5*:+34-+*,-39 4/+,/+.> /+ *:/+4- <-*4>5/3

4-0/3 *>2> /0 /</*4> 5/0-4,B> /+ 0>3 -*4,B>39 8-3,B>39 8-45,2>+,>9 > /+ /0 5/3:04-.> ./ 0-3 >8/5-*,>+/3 ./0

/D/5*,*,> *>+4-C0/F

3D >-+IE/J+H1H

R>3 85>*/.,2,/+4>3 ./ *:-+4,<,*-*,6+ :4,0,O-.>3 ./C/+ 3/5 :+,<>52/2/+4/ -80,*-.>3 ./ :+ 8/5Q>.> - >45>FK:-+.> /U,34-+ 5-O>+/3 <:+.-.-3 8-5- *-2C,-5 ./ 85>*/.,2,/+4>39 ./C/5? ,+<>52-53/ /34/ @/*@> ; 3:

/</*4>F

3K %E-*(-+HE H( IE-HE )EX/( O1 IE/J1

R- *>+4-C,0,.-. 8>+/ )+<-3,3 /+ /0 *>+4/+,.> /*>+62,*> ./ 0>3 /B/+4>39 -:+ *:-+.> 0- 0/=,30-*,6+ 8:/./

5/A:/5,5 :+ 45-4-2,/+4> .,</5/+4/F

3Q $'1O+H1H (GE-,J+G1

R- /345:*4:5- ./ 0- *>+4-C,0,.-. ./3*-+3- /+ /34- 85/2,3- ]8-54,.- .>C0/[ ; /34? *>+34,4:,.- 8>5a -[ 5/*:53>3

.,38>+,C0/3 8-5- /0 0>=5> ./ 0>3 >CD/4,B>3 /34-C0/*,.>3 *>2> 2/4- ; C[ 0-3 <:/+4/3 ./ )34>39 0-3 *:-0/3

4-2C,)+ 3>+ ./2>345-4,B-3 ./ 0>3 .,B/53>3 8-3,B>3 *>+45-Q.>3F

Page 305: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 305/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) #P%

3V =(O1G+,- I'-H1J(-*1O H( OE) ()*1HE) I+-1-G+(/E)

R>3 5/3:04-.>3 ./0 85>*/3> *>+4-C0/ 3>+ ,+<>52-.>3 /+ <>52- ,+4/=5-0 2/.,-+4/ :+ /34-.> ./ 3,4:-*,6+

<,+-+*,/5- ; 8>5 :+ /34-.> ./ *:/+4-3 ./ 5/3:04-.>9 3,/+.> -2C>3 +/*/3-5,-2/+4/ *>280/2/+4-5,>3 /+45/

3QF

3Y 4XP(*+0E) S(-(/1O() H( O1 +-IE/J1G+,- I+-1-G+(/1

R- ,+<>52-*,6+ <,+-+*,/5- /34? ./34,+-.- C?3,*-2/+4/ 8-5- 3/5B,5 0-3 +/*/3,.-./3 *>2:+/3 ./ 4>.>3 0>3

:3:-5,>3F

 (-2C,)+ 3/ 85/3:2/ A:/ 0>3 :3:-5,>3 /34?+ <-2,0,-5,O-.>3 *>+ 0-3 85?*4,*-3 >8/5-*,>+-0/39 /0 0/+=:-D/

*>+4-C0/ ; 0- +-4:5-0/O- ./ 0- ,+<>52-*,6+ 85/3/+4-.-F

3[ &jTE)+G+,-

R>3 /34-.>3 <,+-+*,/5>3 ./C/+ *>+4/+/5 4>.- 0- ,+<>52-*,6+ ; .,3*5,2,+-*,6+ C?3,*- ; -.,*,>+-0 A:/ 3/-

+/*/3-5,- 8-5- :+- -./*:-.- ,+4/585/4-*,6+ ./ 0- 3,4:-*,6+ <,+-+*,/5- ; ./ 0>3 5/3:04-.>3 /*>+62,*>3 ./0

/+4/ - A:/ 3/ 5/<,/5/+F

"C #4=<6: %4#5678&: 

R-3 +>52-3 *>+4-C0/3 5/85/3/+4-+ /0 *>+3/+3> B-5,-C0/ /+ /0 4,/28>9 5/38/*4> - *:?0/3 5/*:53>3 ;>C0,=-*,>+/3 /*>+62,*-3 ./C/+ 3/5 5/=,345-.>3 *>2> -*4,B>3 ; 8-3,B>39 A:) *-2C,>3 /+ )34>3 ./C/+ 3/5

5/<0/D-.>39 *62> 0>3 -*4,B>3 ; 8-3,B>3 ; *-2C,>3 /+ )34>3 ./C/+ 3/5 2/.,.>39 A:) ,+<>52-*,6+ ./C/ 3/5

.-.- - *>+>*/5 ; /+ A:) <>52- ; A:) 4,8> ./ /34-.>3 <,+-+*,/5>3 ./C/+ 3/5 85/8-5-.>3F 734-3 +>52-3

8:/./+ 3/5 *0-3,<,*-.-3 /+ .>3 =5:8>3a

G[ L/+/5-0/3

![ 738/*Q<,*-3

734- *0-3,<,*-*,6+ /3 ./4/52,+-+4/ ./ 0- <>52- /+ A:/ 3/ ./3-55>00- /0 85>*/3> *>+4-C0/ ; +-*/ ./ 0-

*>+B/+*,6+9 B-0/ ./*,59 A:/ @- 3,.> *>+34,4:,.- 3>C5/ 0- C-3/ ./ 0- /U8/5,/+*,-9 06=,*- ; *>34:2C5/9

00/=-+.> - 3/5 -*/84-.- 8>5 0>3 :3:-5,>3F

R-3 +>52-3 *>+4-C0/3 =/+/5-0/3 +> ./C/+ 3/5 <>52:0-.-3 4/+,/+.> *>2> >CD/4,B> 85,+*,8-0 /0 .-5 -8>;> -

Page 306: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 306/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) #P&

*,/54-3 8>0Q4,*-3 /34-C0/*,.-3 /+ >45-3 ?5/-39 4-0/3 *>2> -.2,+,345-*,6+ <,+-+*,/5-9 0/;/3 45,C:4-5,-39 /4*F9 -:+

*:-+.> .,*@-3 8>0Q4,*-3 8:/.-+ 3/5 ./3/-C0/3 ; ./</+.,C0/3 ./3./ >45>3 8:+4>3 ./ B,34-F

R- *,/+*,- *>+4-C0/ >C4,/+/ 3: B/5.-./5- <:/5O- ./ 0- +/:45-0,.-. A:/ 5/85/3/+4-9 *>28-5-.- *>+ 0>3

,+4/5/3/3 /38/*Q<,*>3 A:/ 5/=:0/+ >45>3 <,+/3F W: <:+*,6+ *>55/*4- ./5,B- ./ 0- 2/.,*,6+ ./ 0>3 5/*:53>3 ./

/+4,.-./3 ./4/52,+-.-3 ; ./ 0>3 *-2C,>3 A:/ /U8/5,2/+4-+ .,*@>3 5/*:53>3F M>5 *>+3,=:,/+4/9 3:3 +>52-3

./C/+ /34-5 .,5,=,.-3 C?3,*-2/+4/ -0 0>=5> ./ .,*@- <:+*,6+F

R-3 +>52-3 *>+4-C0/3 =/+/5-0/3 =:Q-+ /+ 0- 3/0/**,6+9 2/.,*,6+ ; /+ 0- /U8>3,*,6+ ./ @/*@>3 /+ 0-

*>+4-C,0,.-. <,+-+*,/5-F 734?+ C-3-.-3 /+ 0>3 85,+*,8,>3 C?3,*>3 ; 3/ -80,*-+ - *-3>3 8-54,*:0-5/3 - 45-B)3 ./

0-3 +>52-3 *>+4-C0/3 /38/*Q<,*-39 0-3 A:/ 3/ ./<,+,5?+ 8>34/5,>52/+4/F

R-3 +>52-3 *>+4-C0/3 =/+/5-0/3 3>+ 2?3 -280,-3 ; 2/+>3 ./4-00-.-3 A:/ 0-3 +>52-3 *>+4-C0/3 /38/*Q<,*-3F

M>5 /D/280>9 0- +>52- /38/*Q<,*- ./ b04,2- /+45-.-9 85,2/5- 3-0,.- ]\7MW > RZ^e[ - -80,*-5 /+ /0 *>34/>

./ /U,34/+*,-3 /3 :+- -80,*-*,6+ /38/*Q<,*- ./ 0- +>52- *>+4-C0/ =/+/5-0 5/</5/+4/ - 0- ./4/52,+-*,6+ ./0

*>34> ; 2/.,*,6+ ./ :+ -*4,B>9 ; 0- ./85/*,-*,6+ 0,+/-0 /3 :+- +>52- *>+4-C0/ /38/*Q<,*- - 45-B)3 ./ 0- *:-0

/3 -80,*-.- 0- +>52- *>+4-C0/ =/+/5-0 5/0-4,B- - 0- -3,=+-*,6+ 3,34/2?4,*- ; 5-*,>+-0 ./ :+ *>34> - 0>3

5/3:04-.>3 ./ *-.- /D/5*,*,>F

73 ,28>54-+4/ ./34-*-5 A:/ 0>3 85,+*,8,>3 ; 0-3 +>52-3 *>+4-C0/3 3>+ /0 5/3:04-.> ./ :+ 85>*/3> ./

/B>0:*,6+ 8/52-+/+4/F R>3 *-2C,>3 8:/./+ >*:55,5 -0 +,B/0 ./ 85,+*,8,>3 > ./ +>52-3 *>+4-C0/3 =/+/5-0/3

; /38/*Q<,*-3F R>3 85,+*,8,>3 ; +>52-3 =/+/5-0/3 3>+ 5/0-4,B-2/+4/ ,+B-5,-C0/39 8/5> 8:/./+ *-2C,-5 *>+ /0

45-+3*:53> ./0 4,/28>F R>3 *-2C,>3 >*:55/+ 2?3 <5/*:/+4/2/+4/ /+ 0-3 +>52-3 *>+4-C0/3 /38/*Q<,*-3

/280/-.-3 /+ 0- -80,*-*,6+ ./ 0-3 +>52-3 *>+4-C0/3 =/+/5-0/3F

 C #4=<6: %4#5678&: ?&#&=68&: 

 1 *>+4,+:-*,6+ 85/3/+4-2>3 :+ 5/3:2/+ ./ 0-3 +>52-3 *>+4-C0/3 =/+/5-0/3a

4XP(*+0E 62 =(O1*+0E 1 G'(-*1) H( /()'O*1HE 

K>+4-C,0,O-5 0-3 B/+4-39 >45>3 ,+=5/3>39 *>34> ./ B/+4-39 =-34>39 =-+-+*,-3 ; 8)5.,.-39 /+ <>52- 4-0 A:/

85/3/+4/+ 5-O>+-C0/2/+4/ 0>3 5/3:04-.>3 ./ 0-3 >8/5-*,>+/3 /</*4:-.-3 .:5-+4/ /0 > 0>3 8/5Q>.>3 ./

4,/28> *:C,/54>3F M-5- *:280,5 *>+ /34/ >CD/4,B> ./C/+ -80,*-53/ 0>3 3,=:,/+4/3 85,+*,8,>3 C?3,*>3 ./ 0-

*>+4-C,0,.-.a

 6M32  f/+4-3 ; >45>3 ,+=5/3>3 +> ./C/+ 3/5 *>+4-C,0,O-.>3 -+4,*,8-.-2/+4/ /+ /0 /34-.> ./ *:/+4-3 ./

5/3:04-.> > 5/=,345-.>3 8>5 2>+4>3 3,=+,<,*-4,B-2/+4/ ,+</5,>5/3 > 3:8/5,>5/3 - 0-3 *,<5-3 5/-0/3F M>5

*>+3,=:,/+4/9 ./C/ /U,34,5 :+ *>54/ *>+4-C0/ -./*:-.> -0 85,+*,8,> ; -0 *,/55/ ./0 8/5Q>.> > 8/5Q>.>3F

 6MA2 K>34>3 ./ B/+4- ; =-34>3 ./C/+ 3/5 -./*:-.-2/+4/ ,28:4-.>3 - 0-3 B/+4-3 ; >45>3 ,+=5/3>3 A:/ )34>3

Page 307: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 307/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) #PI

85>.:O*-+F M>5 *>+3,=:,/+4/9 ./C/ /U,34,5 :+ *>54/ *>+4-C0/ -./*:-.> 5/38/*4> - /U,34/+*,-3 ; 8-3,B>3 /+

*:-+4> - *>34>3 ; =-34>3 -0 85,+*,8,> ; -0 *,/55/ ./0 8/5Q>.> > 8/5Q>.>3F

 6MD2 K-5=>3 -85>8,-.>3 ./C/+ 3/5 /</*4:-.>3 8>5 *>+*/84> ./ ./85/*,-*,6+ ; -=>4-2,/+4> ./ -*4,B>3 <,D>3

; 8>5 0- -2>54,O-*,6+ ./ *>34>3 .,</5,.>3F

 6MK2 \+- -./*:-.- .,345,C:*,6+ ./ *>34>3 ; =-34>3 ./C/ 3/5 /</*4:-.- /+45/ -*4,B>3 <,D>39 /U,34/+*,-3 ;

5/3:04-.>3 ]./0 /D/5*,*,> ; <:4:5>3[F

R>3 *>34>3 .,5/*4>3 3>+ =/+/5-02/+4/ ,./+4,<,*-C0/3 ; 0>3 *>34>3 *>2:+/3 -80,*-C0/3 - 2?3 ./ :+- 3>0-

-*4,B,.-. ./C/+ 3/5 85>55-4/-.>3 ./ -*:/5.> - C-3/3 -85>8,-.-3 ./ .,345,C:*,6+9 4-0/3 *>2> 0>3 <-*4>5/3 ./

4,/28> > ./ :4,0,O-*,6+F

 6MQ2  M5>B,3,>+/3 +> ./C/+ 3/5 :4,0,O-.-3 *>+ /0 85>863,4> ./ .,32,+:,5 -5C,45-5,-2/+4/ 0- :4,0,.-. >

45-30-.-5 0- :4,0,.-. ./ :+ 8/5Q>.> - >45>F

 6MV2 M)5.,.-3 ; =-+-+*,-3 +> @-C,4:-0/3 > A:/ 3>+ /U45->5.,+-5,-3 ./C/+ 3/5 5/*>+>*,.-3 /+ /0 8/5Q>.> /+

A:/ >*:55/+ ; ./C/+ 3/5 85/3/+4-.-3 /+ /0 /34-.> ./ *:/+4-3 ./ 5/3:04-.> /+ <>52- 3/8-5-.- - 0-3

45-+3-**,>+/3 >5.,+-5,-3 ; :3:-0/3F

 6MY2 W, 0>3 85,+*,8,>3 *>+4-C0/3 -80,*-.>3 /+ 0- ./4/52,+-*,6+ ./ 0>3 5/3:04-.>3 ./ *-.- 8/5Q>.> +> @-+

3,.> -80,*-.>3 :+,<>52/2/+4/9 /0 /</*4> ./0 *-2C,> ./C/ 3/5 ,+.,*-.> 2/.,-+4/ :+- +>4- /U80,*-4,B- - 0>3

/34-.>3 <,+-+*,/5>3F

4XP(*+0E 72 =(O1*+0E 1O T1*/+JE-+E 

M5/3/+4-5 /+ <>52- 3/+*,00- ; *0-5- /0 8-45,2>+,> ,+B/54,.> 8>5 0>3 -**,>+,34-39 3>*,>3 : >45>3 -8>54-+4/39

;- 3/- - 45-B)3 ./0 -8>54/ ./ -*4,B>3 > ./ :4,0,.-./3 +> .,345,C:,.-39 3>C5/ :+- C-3/ -*:2:0-.-9 / ,+.,*-+.>2/.,-+4/ :+- +>4- - 0>3 /34-.>3 <,+-+*,/5>39 4>.>3 0>3 *-5=>3 ; -C>+>3 5/=,345-.>3 /+ 0-3 *:/+4-3

8-45,2>+,-0/3 .:5-+4/ /0 > 0>3 8/5Q>.>3 *:C,/54>3F R- /345:*4:5- ./ 0-3 *:/+4-3 ./ 8-45,2>+,> ; 3:

85/3/+4-*,6+ /+ 0>3 /34-.>3 <,+-+*,/5>3 4,/+/+ 8>5 >CD/4> .-5 *:280,2,/+4> - 0-3 .,38>3,*,>+/3 0/=-0/3

8/54,+/+4/3 ; - 0-3 +/*/3,.-./3 ./ 0- /+4,.-.F

7M32 7+ *-3> ./ /U,34,5 .>3 > 2?3 *0-3/3 ./ -**,>+/3 > -8>54/39 3/ ./C/+ *>+4-C,0,O-5 3/8-5-.-2/+4/ ;

85/3/+4-5 /+ +>4-3 - 0>3 /34-.>3 <,+-+*,/5>3 0>3 ./5/*@>3 =/+/5-0/3 > ./ 4,8> 85/</5/+*,-0 A:/ /U,34/+

5/38/*4> -0 8-=> ./ .,B,./+.>39 > ./ ./B>0:*,6+ ./ -8>54/3 /+ *-3>3 ./ 0,A:,.-*,6+ ./ 0- /+4,.-. : >45>3

*-3>3 /38/*,-0/3F

7MA2  `/3./ /0 8:+4> ./ B,34- <,+-+*,/5> /0 8-45,2>+,> ,+B/54,.> 8>5 0>3 -**,>+,34-39 3>*,>3 ; >45>3

-8>54-+4/39 /3 ./ 0- C-3/ 0- /+4,.-. ; 3: ,./+4,<,*-*,6+ ./C/5? 3/5 2-+4/+,.- /+ 4>.> 2>2/+4>F K:-0A:,/5

.,32,+:*,6+ ./0 8-45,2>+,> ,+B/54,.>9 ;- 3/- 5/3:04-+4/ ./ 8)5.,.-3 >8/5-*,>+-0/3 ./ *:-0A:,/5 +-4:5-0/O-9

8-=> ./ .,B,./+.>3 /+ /U*/3> ./ 0-3 :4,0,.-./3 +> .,345,C:,.-39 /4*F9 ./C/+ 3/5 *>+4-C,0,O-.-3 /+ /0 8/5Q>.>

Page 308: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 308/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) #Pc

/+ A:/ >*:55/+ ; 85/3/+4-53/ /+ <>52- -*:2:0-.-F

7MD2 R-3 5/3/5B-3 5/=0-2/+4-5,-3 ; >45-3 +> ./C/+ 3/5 :4,0,O-.-3 *>+ /0 >CD/4> ./ /B,4-5 0- *>+4-C,0,O-*,6+

./ *-5=>3 - 0-3 *:/+4-3 ./ 5/3:04-.>9 ; ./C/+ 3/5 2-+4/+,.-3 /+ <>52- 3/8-5-.- ./ 0-3 *:/+4-3

5/85/3/+4-4,B-3 ./ 5/3/5B-3 3>*,-0/3F

7MK2 R-3 5/3/5B-3 3>*,-0/3 ./C/+ 5/85/3/+4-5 /0 3-0.> -*:2:0-.> ./ 0-3 :4,0,.-./3 +> .,345,C:,.-3 8>5 0-

/+4,.-.F W/ 85/3:2/ A:/ +> /U,34/ 5/345,**,6+ -0=:+- 5/38/*4> -0 8-=> ./ .,B,./+.>39 ; 3, 0- @-;9 ./C/

./D-53/ *>+34-+*,- ./ /00>F

7MQ2 7+ =/+/5-09 0-3 5/3/5B-3 5/=0-2/+4-5,-3 ; 3>*,-0/3 8:/./+ 3/5 .,32,+:,.-3 2/.,-+4/ 3: *-8,4-0,O-*,6+

/+ -A:/00>3 *-3>3 /+ A:/ 3/ @- -*>5.-.> ; -85>C-.> ,+*5/2/+4-5 /0 *-8,4-0 3>*,-0F R-3 8)5.,.-3 ./

>8/5-*,6+ 8:/./+ 3/5 /0,2,+-.-3 2/.,-+4/ 3: ,28:4-*,6+ <>52-0 ; ./C,.-2/+4/ -:4>5,O-.- *>+ *-5=> -

*-8,4-0 3>*,-0 ; 5/3/5B-3 /+ /0 >5./+ 0/=-02/+4/ /34-C0/*,.>F

7MV2  M-5- .-5 ./C,.> 5/*>+>*,2,/+4> -0 /</*4> .,34>53,>+-.>5 ./ 0- ,+<0-*,6+9 ./ 3/5 /34/ 3,=+,<,*-4,B>9

./C/5?+ *>+3,./5-53/ 0>3 -D:34/3 5/38/*4,B>3 A:/ 8/52,4-+ 2-+4/+/5 /0 *-8,4-0 /+ 4)52,+>3 ./ 2>+/.- ./

,=:-0 B-0>5 -.A:,3,4,B>F

7MY2 R- 5/3/5B- ./ 5/B-0>5,O-*,6+ ./ *-8,4-0 85>8,> ; >45-3 5/3/5B-3 85>B/+,/+4/3 ./ 5/-B-0b>3 0/=-0/3 > ./

<0:*4:-*,>+/3 ./ B-0>5/3 ; *-2C,>3 ./C/+ 3/5 85/3/+4-.-3 /+ <>52- 3/8-5-.- C-D> /0 M-45,2>+,>F

4XP(*+0E %2 =(O1*+0E 1 G'(-*1) H( 1G*+0E 

M5/3/+4-5 -./*:-.-2/+4/ 0>3 -*4,B>3 ,+B/54,.>3 /+ 0- /+4,.-. 8>5 0>3 -**,>+,34-39 3>*,>3 > -8>54-+4/3 ]3/-+

- 45-B)3 ./ -*4,B>3 -8>54-.>3 > :4,0,.-./3 +> .,345,C:,.-3[ 8-5- A:/ *:-+.> 3/ *>+3,./5/+ *>+D:+4-2/+4/

*>+ 0>3 8-3,B>3 /U,=,C0/ ; 45-+3,4>5,> 3/ >C4/+=- :+- 85/3/+4-*,6+ 5-O>+-C0/ ./ 0- 3,4:-*,6+ <,+-+*,/5- ./ 0-/+4,.-. 4-+4> -0 85,+*,8,> *>2> -0 <,+-0 ./0 8/5Q>.>F

%M32  R-3 8-54,.-3 *0-3,<,*-.-3 *>2> -*4,B>3 .,38>+,C0/ ; 5/-0,O-C0/ 3>+ -A:/00-3 A:/ 8:/./+ 5/-0,O-53/

./+45> ./0 80-O> ./ :+ -V> > ./+45> ./0 *,*0> +>52-0 ./ >8/5-*,>+/3 ./ 0- 5/38/*4,B- /+4,.-.F 70 /</*4,B>

./C/ 3/=5/=-53/ /+45/ -A:/00>3 2>+4>3 3:D/4>3 - ; 3,+ 5/345,**,>+/3F M-5- A:/ 0-3 8-54,.-3 3:D/4-3 -

5/345,**,>+/3 3/-+ ,+*0:,.-3 ./+45> ./ 0>3 5:C5>3 2/+*,>+-.>3 ./C/ 4/+/53/ /+ *:/+4- 3, ./+45> ./ 0>3

80-O>3 ,+.,*-.>3 -+4/5,>52/+4/ 3: 0,C/5-*,6+ 3/ 85>.:*/F `/ 0-3 *:/+4-3 8>5 *>C5-5 ./C/+ ./.:*,53/ 0-3

85>B,3,>+/3 ./34,+-.-3 - *:C5,5 0-3 8)5.,.-3 A:/ 3/ /34,2-+F R-3 *:/+4-3 8>5 *>C5-5 ./ <:+*,>+-5,>39

/280/-.>3 ; ./ *>28-VQ-3 -<,0,-.-3 ./C/+ 2>345-53/ 3/8-5-.-2/+4/F R-3 *:/+4-3 8>5 *>C5-5 /+ 2>+/.-

/U45-+D/5- ./C/+ ,+.,*-53/9 -3Q *>2> /0 4,8> ./ *-2C,> :3-.> /+ 3: 45-.:**,6+F R-3 /U,34/+*,-3 ./C/+

00/B-53/ -0 *>34> > -0 B-0>5 ./ 2/5*-.> 3, <:/5- 2/+>5F 70 *>34> *>285/+./ 0>3 *>34>3 .,5/*4>3 2?3 0>3

*>34>3 ,+.,5/*4>3 ./ <-C5,*-*,6+9 ; 0- C-3/ ./ 3: ./4/52,+-*,6+ ]\7MW g RZ^e9 M7MW g ^Z^e9 >

85>2/.,>[9 ./C/ 3/5 ,+.,*-.-F R-3 ,+B/53,>+/3 - *>54> 80-O>9 8>5 3: +-4:5-0/O-9 ./C/+ 85/3/+4-53/ - 3:

Page 309: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 309/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) #PH

 B-0>5 ./ 2/5*-.>F R-3 8-54,.-3 - -*4,B-5 ]/DFa =-34>3 .,</5,.>3[ ./C/+ 3/5 /</*4,B-2/+4/ ,28:4-C0/3 - 0>3

5/3:04-.>3 ./ 8/5Q>.>3 <:4:5>3F

%MA2 R>3 -*4,B>3 ,+2>B,0,O-.>3 ./C/+ 00/B-53/ -0 *>34> ./ -.A:,3,*,6+ > *>+345:**,6+ @,3465,*>9 2?3 0-3

5/B-0>5,O-*,>+/3 +/*/3-5,-3 8-5- 5/<0/D-5 *-2C,>3 3:C34-+*,-0/3 /+ /0 8>./5 -.A:,3,4,B> ./ 0- 2>+/.-F 7+

4>.> *-3>9 ./C,.- *>+3,./5-*,6+ ./C/5? .-53/ - *-34,=>3 8>5 8)5.,.- : >C3>0/3*/+*,-F R>3 C,/+/3 - 3/5

*>+3,./5-.>3 *>2> -*4,B>3 ,+2>B,0,O-.>39 ./C/+ 4/+/5 :+- B,.- b4,0 3:8/5,>5 - :+ -V> ; 5/38/*4> - /00>3

+> ./C/ 4/+/53/ 0- ,+4/+*,6+ ./ /+-D/+-50>3F f/5 *>280/2/+4> /+ S>0/4,+/3 ()*+,*>3 N>3 #G ; ##F

%MD2  `/C/+ *>+4-C,0,O-53/ 5/3/5B-3 ./ ./85/*,-*,6+ *>+ /0 85>863,4> ./ *-5=-5 - 0-3 >8/5-*,>+/3 0-

,+B/53,6+ /+ -*4,B>3 ./85/*,-C0/3 .:5-+4/ /0 8/5Q>.> /34,2-.> ./ B,.- b4,0 ./ /34>3 -*4,B>3F R-3

./85/*,-*,>+/3 -*:2:0-.-39 ./.:*,.- 0- ./85/*,-*,6+ *>55/38>+.,/+4/ - C,/+/3 5/4,5-.>3 > .-.>3 ./ C-D-9

./C/+ 2>345-53/ *>2> :+- ./.:**,6+ ./ 0>3 -*4,B>3 ,+2>B,0,O-.>F f/5 *>280/2/+4> /+ S>0/4Q+ ()*+,*>

N> ##F

%MK2 R-3 ,+B/53,>+/3 - 0-5=> 80-O> /+ B-0>5/3 2>C,0,-5,>3 ./C/+ 00/B-53/ -0 *>34> > -0 B-0>5 5/85/3/+4-4,B>

./ 0- 85>8>5*,6+ ./0 8-45,2>+,> A:/ 3/ 8>3// /+ 0- /+4,.-. /+ 0- *:-0 3/ @- ,+B/54,.>F R-3 ,+B/53,>+/3 /+

/285/3-3 -<,0,-.-3 ./C/+ 3/5 3/=5/=-.-3 ./ >45-3 ,+B/53,>+/3F

%MQ2 R>3 *>34>3 ./ 8-54,.-3 ,+4-+=,C0/39 4-0/3 *>2> 8-4/+4/39 ./5/*@>39 ,+B/34,=-*,6+ ; ./3-55>00> ]3, 3/ @-

.,</5,.>[ ; ./5/*@>3 ./ 00-B/ ./C/+ 2>345-53/ 3/8-5-.-2/+4/F R-3 8-54,.-3 A:/ 4/+=-+ B,=/+*,- 8>5 :+

80-O> 0,2,4-.> ./C/+ -2>54,O-53/ *>+ *-5=> - 5/3:04-.>3 .:5-+4/ 3:3 B,.-3 b4,0/3 /34,2-.-3F R- 8>0Q4,*- ./

-2>54,O-*,6+ ./ ,+4-+=,C0/3 ./ 80-O> ,+./<,+,.> ./C/ 3/5 /U80,*-.- /+ +>4- - 0>3 /34-.>3 <,+-+*,/5>3F

%MV2 R- +-4:5-0/O- ; *:-+4Q- ./ 0>3 -*4,B>3 =5-B-.>3 > @,8>4/*-.>3 ./C/ 2>345-53/ /+ +>4- - 0>3 /34-.>3<,+-+*,/5>3F

4XP(*+0E $2 =(O1*+0E 1 EXO+S1G+E-() H( O1 (-*+H1H b.1)+0ER 

M5/3/+4-5 4>.>3 0>3 8-3,B>3 *>+>*,.>3 8-5- A:/ )34>39 *>+3,./5-.>3 /+ *>+D:+4> *>+ 0>3 -*4,B>3 ; /0

8-45,2>+,>9 85/3/+4/+ 5-O>+-C0/2/+4/ 0- 3,4:-*,6+ <,+-+*,/5- ./ 0- /+4,.-. -0 85,+*,8,> ; -0 <,+-0 ./0

8/5Q>.>F

$M32 (>.>3 0>3 8-3,B>3 *>+>*,.>3 ./C/+ 3/5 5/=,345-.>39 ,+*0:;/+.> 0>3 B-0>5/3 *:;>3 2>+4>3 ./<,+,4,B>3

/34)+ -b+ 8>5 ./4/52,+-53/F W, 0>3 2>+4>3 +> 8:/./+ 3/5 5-O>+-C0/2/+4/ /34,2-.>39 0- +-4:5-0/O- ./ 0-3

8-54,.-3 ./C/+ ,+.,*-53/ /+ *:/+4-3 ./ >5./+ > /+ :+- +>4- - 0>3 /34-.>3 <,+-+*,/5>3F

$MA2 70 8-3,B> /U,=,C0/ - *>54> 80-O> ./C/ ,+*0:,5 0>3 2>+4>3 - 8-=-5 ./+45> ./ :+ -V> > -0 <,+-0 ./0 *,*0>

./ >8/5-*,>+/3 ./ 0- /+4,.-.9 *0-3,<,*-*,6+ A:/ ./C/ 3/5 *>+3/*:/+4/ *>+ -A:/00- .-.- -0 -*4,B> .,38>+,C0/9

5/-0,O-C0/ ; 45-+3,4>5,>F `/C/+ 2>345-53/ /+ <>52- 3/8-5-.- 0-3 >C0,=-*,>+/3 3/=b+ *>+*/84> ; 4,8> ./

-*5//.>5F M>5 0> 4-+4>9 ./C/+ 3/=5/=-53/ 0>3 .>*:2/+4>3 8>5 8-=-5 - C-+*>39 - 4/5*/5>39 85>B//.>5/39 0-3

Page 310: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 310/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) #GP

*:/+4-3 8>5 8-=-59 -0 8/53>+-09 - -<,0,-.-3 / ,28:/34>39 /4*F

$MD2 70 8-3,B> /U,=,C0/ - 0-5=> 80-O> ./C/ 3/5 ./3*5,4> ,+.,*-+.> 3: +-4:5-0/O-X </*@-3 ./ B/+*,2,/+4>9

4,8> ./ ,+4/5)3 ; 2>+/.- /+ A:/ ./C/ 3/5 8-=-.> ; /0 5/38/*4,B> 4,8> ./ *-2C,> :4,0,O-.> /+ 3:

45-.:**,6+F

$MK2 `/C/ /U80,*-53/ /+ :+- +>4- - 0>3 /34-.>3 <,+-+*,/5>3 0- +-4:5-0/O- ; /0 2>+4> ./ 0>3 =5-B?2/+/3 A:/

-</*4-+ - 0>3 -*4,B>3 A:/ /34?+ =/+/5-+.> 0>3 8-3,B>3 *>+45-Q.>3F

$MQ2 R>3 ,+=5/3>3 .,</5,.>3 ./C/+ ./3*5,C,53/ ; *0-3,<,*-53/ 3/8-5-.-2/+4/F

$MV2  R>3 8-3,B>3 *>+4,+=/+4/3 > /B/+4:-0/3 ./ ,28>54-+*,- ./C/+ 3/5 -./*:-.-2/+4/ ./3*5,4>3 /

,+*0:,.>3 /+ *:/+4-3 ./ >5./+F

 C" &d.8"%6%"@# $& %4#%&.54: >5"8"]6$4:

=(O1*+0E) 1 G'(-*1) H( /()'O*1HE 

 6M32 K>54/ *>+4-C0/a 70 *>+45>0 A:/ ./C/ /U,34,5 5/38/*4> - 0- >8>54:+- ; -./*:-.- *>+4-C,0,O-*,6+ ./ 0-

b04,2- +>4- ./ B/+4-9 <-*4:5-9 =:Q- ./ /+45/=- : >45- .>*:2/+4-*,6+ *>+4-C0/F

 6MA2 K>54/ *>+4-C0/a 70 *>+45>0 A:/ ./C/ /U,34,5 5/38/*4> - 0- >8>54:+- ; -./*:-.- *>+4-C,0,O-*,6+ ./ 0-

b04,2- +>4- ./ ./38-*@> > ./ *>+3:2> ./ C,/+/3 ;o> 3/5B,*,>3F

 6MD2 `/85/*,-*,6+a 73 -A:/00- 85>8>5*,6+ ./0 *>34> : >45- C-3/ ./ B-0:-*,6+ ./ C,/+/3 ./0 -*4,B> <,D> ./

 B,.- b4,0 0,2,4-.-9 *-5=-.- - 0>3 *>34>3 ./ 85>.:**,6+9 =-34>3 ./ -.2,+,345-*,6+ ; =-34>3 ./ B/+4-3 ]3/=b+

<:/5/ -80,*-C0/[ ./ :+ 8/5Q>.> *>+4-C0/ ./ -*:/5.> - :+- 2/4>.>0>=Q- 3,34/2?4,*- ; 8/5,6.,*-9 ./ -*:/5.>

- 0- 2/D>5 /34,2-*,6+ 8>3,C0/ ./0 ./4/5,>5>9 /U8/5,2/+4-.> - :+- </*@- .-.-9 0- B,.- b4,0 5/2-+/+4/ ; ./0 B-0>5 A:/ /B/+4:-02/+4/ 3/ /38/5- 5/*:8/5-5 -0 4)52,+> ./ 0- B,.- b4,0 ./0 C,/+ ]B-0>5 5/3,.:-0[F

 6MD2 1=>4-2,/+4>a 73 /0 *>+3:2> ./ :+ 5/*:53> +-4:5-0 ]4-0 *>2> 8/4560/>9 *>C5/9 C>3A:/39 /4*F[ /0 *:-0

/3 B-0>5,O-.> 2/.,-+4/ :+ *-5=> 3,34/2?4,*> - 0>3 *>34>3 ./ 85>.:**,6+9 /+ C-3/ - :+ *>34> :+,4-5,> 8>5

C-55,09 |,0>39 4>+/0-.-39 2/45>3 *bC,*>39 /4*F9 /0 *:-0 =/+/5-02/+4/ 3/ ./4/52,+- ./ -*:/5.> - 0- 3,=:,/+4/

5/0-*,6+a 

K>34> > B-0>5 -3,=+-.> 4>4-0 o (>4-0 ./ :+,.-./3 <Q3,*-3 /34,2-.-3

 6MD2 12>54,O-*,6+a 73 0- /0,2,+-*,6+ 3,34/2?4,*- ; =5-.:-0 ./ *:-0A:,/5 2>+4> - 45-B)3 ./ :+ 8/5Q>.>

./4/52,+-.> ./ 4,/28>F L/+/5-02/+4/ /34/ 4)52,+> 3/ 5/<,/5/ - -*4,B>3 5/-0,O-C0/39 45-+3,4>5,>3 ;

+>2,+-0/3F

 6MD2 L-34>3 8-=-.>3 -+4,*,8-.-2/+4/a W>+ -A:/00>3 ./3/2C>03>3 /</*4:-.>3 8>5 *>+*/84> ./ 3/5B,*,>3 >

C/+/<,*,>3 - >C4/+/5 /+ 8/5Q>.>3 *>+4-C0/3 <:4:5>39 ; A:/ 8>5 /34- 5-O6+ +> 3>+ 4>4-02/+4/ ,28:4-C0/3 -

0>3 5/3:04-.>3 ./0 /D/5*,*,> /+ /0 *:-0 3/ /</*4:6 /0 ./3/2C>03>F 734/ 4,8> ./ -*4,B> <>52- 8-54/ ./0 *-8,4-0

Page 311: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 311/312

7"C/&6)-#D" E ?/"1&/F .#")"-#%&/ –  4%5)&1)6%"1/ (% 7"(8'1&#)'

!"#$%&'#()( +,-"#-) .%(%&#-/ 0)"1) 2)&3) #GG

./ /U80>4-*,6+ ./ :+- /+4,.-. /+ 5-O6+ - A:/ 3, +> @:C,/5- /</*4:-.> /0 ./3/2C>03> /+ <>52- -+4,*,8-.-9

/0 .,+/5> /34-5Q- <>52-+.> 8-54/ ./0 -*4,B> .,38>+,C0/ ]3/=:5>3 -+4,*,8-.>39 -55,/+.>3 -+4,*,8-.>39 /4*F[F

 6MD2  K-5=>3 .,</5,.>3a W>+ -A:/00>3 ./3/2C>03>3 /</*4:-.>3 /+ :+ 8/5Q>.> *>+4-C0/ 5/0-*,>+-.>3 *>+

C,/+/3 ; 3/5B,*,>3 ;- 5/*,C,.>39 ; A:/ 3/ D:34,<,*- ,28:4-5 - 5/3:04-.>3 <:4:5>3 /+ *>+3,./5-*,6+ - A:/ 0>3

C/+/<,*,>3 3/ =/+/5-5?+ /+ 0>3 /D/5*,*,>3 <:4:5>3F

 6MK2 K>34>3 .,5/*4>3a 73 /0 *>34> ./ 4>.> C,/+ > 3/5B,*,> A:/ *>+45,C:;/ - ; /3 .,5/*4-2/+4/ ,./+4,<,*-C0/

3: ,+*>58>5-*,6+ - :+ 85>.:*4> > 3/5B,*,>9 ]7DFa 2-4/5,-3 85,2-3 .,5/*4-3 ; 2-+> ./ >C5- .,5/*4-[F

 6MK2  M5>B,3,6+a W>+ -A:/00>3 *-5=>3 - 5/3:04-.>3 ./0 /D/5*,*,> A:/ 5/85/3/+4-+ /34,2-*,>+/3 ./

>C0,=-*,>+/3 ,28:4-C0/3 - .,*@> /D/5*,*,>9 *>2> -3,2,32> /0 5/*>+>*,2,/+4> ./ 0- /B/+4:-0 8)5.,.- /+ /0

 B-0>5 3/=b+ 0,C5>3 ./ *,/54>3 -*4,B>3 5/-0,O-C0/39 4-0/3 *>2> ./:.>5/3 ; /U,34/+*,-3F

=(O1*+0E) 1O T1*/+JE-+E 

7M32 `/5/*@>3 85/</5/+*,-0/3 3>C5/ /0 8-45,2>+,>a 7U,34/+ *-3>3 /+ A:/ 3/ /34-C0/*/ A:/ *,/54>3 4,8>3 ./

./5/*@>3 3>C5/ /0 8-45,2>+,> ./ :+- /+4,.-. 3>+ *>+*/.,.>3 - -0=:+>3 -**,>+,34-39 .:/V>3 > -8>54-+4/3

./0 8-45,2>+,>9 0> *:-0 3,=+,<,*- A:/9 )34>3 4,/+/+ 85/</5/+*,- 5/38/*4> - 0>3 -**,>+,34-39 .:/V>3 >

-8>54-+4/3 >5.,+-5,>3 3>C5/ 0- .,345,C:*,6+ ./ 0-3 :4,0,.-./3 > 3:8/5?B,43 A:/ =/+/5/ 0- /+4,.-. *>2>

-3,2,32> 5/38/*4> - 0>3 C,/+/3 ./ -*4,B> A:/ 5/38-0.-+ -0 8-45,2>+,> /+ *-3> ./ 0,A:,.-*,6+ ./ 0- /+4,.-.9

> 5/38/*4> -0 ./5/*@> - B>4> /+ 0-3 -3-2C0/-3F

7MD2  d/3/5B-3 5/=0-2/+4-5,-3a W>+ 4>.-3 -A:/00-3 5/3/5B-3 A:/9 <>52-+.> 8-54/ ./0 8-45,2>+,> ./ 0-

/+4,.-.9 @-+ 3,.> *>+34,4:,.-3 /+ C-3/ - 0/;/3 /38/*,-0/3F

7MK2 d/3/5B-3 3>*,-0/3a W>+ 4>.-3 -A:/00-3 5/3/5B-3 A:/9 <>52-+.> 8-54/ ./0 8-45,2>+,> ./ 0- /+4,.-. @-+3,.> *>+34,4:,.-3 8>5 0- .,345,C:*,6+ ./ 0-3 :4,0,.-./3 > 3:8/5?B,43 ./ *-.- /D/5*,*,> *>+4-C0/9 ;- 3/- 8>5

>C0,=-*,6+ /34-4:4-5,- > 8>5 -*:/5.> ./ 0>3 -**,>+,34-39 .:/V>3 > -8>54-+4/3 ./0 8-45,2>+,>F

=(O1*+0E) 1 G'(-*1) H( 1G*+0E 

%M32  f-0>5 ./ 2/5*-.>a W/ ./<,+/ *>2> /0 B-0>5 ./ 5/8>3,*,6+ -*4:-0 ];- 3/- ./ -.A:,3,*,6+ > ./

/0-C>5-*,6+ ,+4/5+- 3/=b+ *:-0 <:/5/ /0 *-3>[ /U*/84> A:/9 ]G[ /0 B-0>5 ./ 2/5*-.> +> ./C/ /U*/./5 /0 B-0>5

+/4> 5/-0,O-C0/ ]/DFa 85/*,> /34,2-.> ./ B/+4- C-D> *>+.,*,>+/3 +>52-0/39 ./.:*,.> 0>3 *>34>3 ; =-34>3

/34,2-.>3 8-5- 4/52,+-5 ./ /0-C>5-5 ; @-*/5 00/=-5 /0 85>.:*4> -0 *>285-.>5[ ; ]![ /0 B-0>5 ./ 2/5*-.> +>

./C/ 3/5 ,+</5,>5 -0 B-0>5 +/4> 5/-0,O-C0/ 5/.:*,.> 8>5 :+- /34,2-*,6+ ./0 2-5=/+ ./ :4,0,.-. - >C4/+/5

+>52-02/+4/F

%M32 \7MW g RZ^e k M7MW g ^Z^ea d/85/3/+4-+ 2)4>.>3 ./ *>34/> ./ /U,34/+*,-3 A:/ 3/ .,</5/+*,-+

/+ A:/ /+ /0 85,2/5 *-3> 3>+ 0-3 b04,2-3 /+45-.-3 0-3 A:/ 3/ 5/*>+>*/+ *>2> 0-3 85,2/5-3 3-0,.-3 5/38/*4>

- 0- -3,=+-*,6+ ./0 *>34>9 - 0>3 *>+3:2>3 ./ /U,34/+*,-3 ; /+ /0 3/=:+.> *-3> 3>+ 0-3 85,2/5-3 /+45-.-39 0-3

Page 312: Apunte_Icofi_2014

7/23/2019 Apunte_Icofi_2014

http://slidepdf.com/reader/full/apunteicofi2014 312/312