ejercicios Capitulo 4_parte 1

7/24/2019 ejercicios Capitulo 4_parte 1

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Cristian Camilo Hernndez Baltn 20111233033

FLUJO DE CAJAVP !"#"O A$O% #&'E%O E&'E%O

( 10)*)+0", 3-. - ( -00*000 ( 1*000*0003-. -3-. -

P'O/EC!O AA$O !"#"O VP PE'#ODO VF

0 3-. ( 3*000*000 ( 1+*10*33-"21 3-. ( 1*000*000 - ( *+*033"2 3-. ( 1*-00*000 ( *)+2*2-)"3+3 3-. ( 2*000*000 3 ( *)20*,-0"00 3-. ( 2*-00*000 2 ( *--*2-0"00- 3-. ( 2*+00*000 1 ( 3*,+0*000"00 3-. ( 3*000*000 0 ( 3*000*000"00

%UA ( ,*-2*)-,"3)VP ( 1*2)*3"1

#VE'%#O BA$O !"#"O VP PE'#ODO VF

0 3-. ( 3*000*000 ( 1+*10*33-"21 3-. ( 1*0-0*000 - ( *,0+*23-"112 3-. ( 1*0-0*000 ( 3*+,*-+1"-3 3-. ( 1*0-0*000 3 ( 2*-+3*3)3",- 3-. ( 1*0-0*000 2 ( 1*)13*2-"00- 3-. ( 1*0-0*000 1 ( 1*1,*-00"00

3-. ( *0-0*000 0( *0-0*000"00

%UA ( 0"00VP ( 0"00

A$O !"#"O VP PE'#ODO VF0 3-. ( ( 1 3-. ( -0*000 - ( 22*201",2 3-. ( -0*000 ( 1*)*,,"+13 3-. ( )-0*000 3 ( 2*33,*3-"2- 3-. ( 1*-0*000 2 ( 2*2*2-"00

- 3-. ( 1*,-0*000 1 ( 2*32*-00"00 3-. ( 1*0-0*000 0 ( 1*0-0*000"00%UA ( ,*-2*)-,"3)

VP ( 1*2)*3"1


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VF VP #VE'%#4( *+*033" ( 1*000*000( *),,*1)0"3 ( 1*000*000

( )3*1-,"1)


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A$O !"#"O VP PE'#ODO VF0 0. ( 53*000*000"006 ( 3*000*000"001 0. ( 1*000*000 - ( 1*000*000"002 0. ( 1*-00*000 ( 1*-00*000"003 0. ( 2*000*000 3 ( 2*000*000"00 0. ( 2*-00*000 2 ( 2*-00*000"00- 0. ( 2*+00*000 1 ( 2*+00*000"00 0. ( 3*000*000 0 ( 3*000*000"00

%UA ( )*+00*000"00VP ( )*+00*000"00

A$O !"#"O VP PE'#ODO VF0 20. ( 53*000*000"006 ( +*)-,*)-2"001 20. ( 1*000*000 - ( 2*++*320"002 20. ( 1*-00*000 ( 3*110*00"003 20. ( 2*000*000 3 ( 3*-*000"00 20. ( 2*-00*000 2 ( 3*00*000"00- 20. ( 2*+00*000 1 ( 3*30*000"00 20. ( 3*000*000 0 ( 3*000*000"00

%UA ( 10*0-*,+"00VP ( 3*3,*))1"2

A$O !"#"O VP PE'#ODO VF0 3-. ( 53*000*000"006 ( 1+*10*33-"21 3-. ( 1*000*000 - ( *+*033"2 3-. ( 1*-00*000 ( *)+2*2-)"3+3 3-. ( 2*000*000 3 ( *)20*,-0"00 3-. ( 2*-00*000 2 ( *--*2-0"00- 3-. ( 2*+00*000 1 ( 3*,+0*000"00 3-. ( 3*000*000 0 ( 3*000*000"00

%UA ( ,*-2*)-,"3)VP ( 1*2)*3"1

A$O !"#"O VP PE'#ODO VF0 -0. ( 53*000*000"006 ( 3*1,1*+,-"001 -0. ( 1*000*000 - ( ,*-)3*,-0"002 -0. ( 1*-00*000 ( ,*-)3*,-0"003 -0. ( 2*000*000 3 ( *,-0*000"00 -0. ( 2*-00*000 2 ( -*2-*000"00

- -0. ( 2*+00*000 1 ( *200*000"00 -0. ( 3*000*000 0 ( 3*000*000"00%UA ( -)0*2-"00

VP ( -1*+-1"+-

A$O !"#"O VP PE'#ODO VF0 ,0. ( 53*000*000"006 ( ,2*12*,0,"001 ,0. ( 1*000*000 - ( 1*1)+*-,0"002 ,0. ( 1*-00*000 ( 12*-2+*1-0"00


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3 ,0. ( 2*000*000 3 ( )*+2*000"00 ,0. ( 2*-00*000 2 ( ,*22-*000"00- ,0. ( 2*+00*000 1 ( *,0*000"00 ,0. ( 3*000*000 0 ( 3*000*000"00

%UA ( 20*+,*)+,"00VP ( +*+33"+

!asa de interes de o7ort8nidad VP5!#O60. ( )*+00*000"00

10. ( -*,)0*)2-"0,20. ( 3*3,*))1"230. ( 1*+1+*10"-3-. ( 1*2)*3"10. ( ,,+*2,2"-0. ( -1*+-1"+-0. ( ,3*+",+,0. ( +*+33"++0. ( 1*1*010"+)0. ( 1*3),*)01"0


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A$O !"#"O VP PE'#ODO0 10. ( 53*000*000"006 1 10. ( 1*000*000 -2 10. ( 1*-00*000 3 10. ( 2*000*000 3 10. ( 2*-00*000 2- 10. ( 2*+00*000 1 10. ( 3*000*000 0

%UAVP

A$O !"#"O VP PE'#ODO0 30. ( 53*000*000"006 1 30. ( 1*000*000 -2 30. ( 1*-00*000 3 30. ( 2*000*000 3 30. ( 2*-00*000 2- 30. ( 2*+00*000 1 30. ( 3*000*000 0

%UAVP

A$O !"#"O VP PE'#ODO0 0. ( 53*000*000"006 1 0. ( 1*000*000 -2 0. ( 1*-00*000 3 0. ( 2*000*000 3 0. ( 2*-00*000 2- 0. ( 2*+00*000 1 0. ( 3*000*000 0

%UAVP

A$O !"#"O VP PE'#ODO0 0. ( 53*000*000"006 1 0. ( 1*000*000 -2 0. ( 1*-00*000 3 0. ( 2*000*000 3 0. ( 2*-00*000 2

- 0. ( 2*+00*000 1 0. ( 3*000*000 0%UA

VP

A$O !"#"O VP PE'#ODO0 +0. ( 53*000*000"006 1 +0. ( 1*000*000 -2 +0. ( 1*-00*000


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3 +0. ( 2*000*000 3 +0. ( 2*-00*000 2- +0. ( 2*+00*000 1 +0. ( 3*000*000 0

%UAVP

A$O !"#"O VP PE'#ODO0 )0. ( 53*000*000"006 1 )0. ( 1*000*000 -2 )0. ( 1*-00*000 3 )0. ( 2*000*000 3 )0. ( 2*-00*000 2- )0. ( 2*+00*000 1 )0. ( 3*000*000 0

%UAVP


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VF( -*31*+3"00( 1*10*-10"00( 2*1)*1-0"00( 2*2*000"00( 3*02-*000"00( 3*0+0*000"00( 3*000*000"00( 10*2-+*),,"00( -*,)0*)2-"0,

VF( 1*+0*2,"00( 3*,12*)30"00( *2+*1-0"00( *3)*000"00( *22-*000"00( 3*0*000"00( 3*000*000"00( +*,,-*-3"00( 1*+1+*10"-

VF( 22*-++*0+"00( -*3,+*20"00( -*,2*00"00( -*++*000"00( *)00*000"00( 3*)20*000"00( 3*000*000"00( -*+0*032"00( ,,+*2,2"

VF( -0*331*+"00( 10*+-*,0"00( )*+30*00"00( +*1)2*000"00( *00*000"00

( *+0*000"00( 3*000*000"00( ,*)3*++"00( ,3*+",+

VF( 102*03*,2"00( 1+*+)-*+0"00( 1-*,*00"00


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( 11**000"00( +*100*000"00( -*00*000"00( 3*000*000"00( 3)*-)0*-)2"00( 1*1*010"+

VF( 11*13,*3"00( 2*,0*))0"00( 1)*-+*1-0"00( 13*,1+*000"00( )*02-*000"00( -*320*000"00( 3*000*000"00( -*,-*-03"00( 1*3),*)01"0


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TASA DE INTERES VPN0.022% $1,485.330.0280% $20.970.0300% $1,480.00 Tasa Interna de Ret0.0500% $1,4!!.70 A"# 0 1 2 31.0000% $8!0.71 &'# (10000 250 250 250

2.0000% $274.583.0000% ($2!2.974.0000% ($75!.085.0000% ($1,208.50!.0000% ($1,!23.!47.0000% ($2,004.!28.0000% ($2,354.24

TIR2.5000%($0.00 0"00022 0"0002+ 0"0003 0"000

3000

2-00

2000

1-00

1000

-00

0

-00

1000

1-00

2000


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n4 5 !

250 250 10250

0"01 0"02 0"03 0"0 0"0- 0"0 0"0, 0"0+


11/22

Tasa Interna de RetrnA"# 0 1 2 3 4&'# (4500000 2000000 2000000 2500000 3000000

TIR 43.4215%

0 0"1 0"2 0"3 0" 0"-

2000000

0

2000000

000000

000000

+000000

10000000


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0% $8,500,000.005 10% $4,!10,5!9.44

3500000 20% $2,379,704.!5

30% $1,040,!49.2240% $208,395.3150% ($322,359.40

!0% ($!!!,780.4770% ($892,317.08

0" 0",


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A"# )nt *n+ers*n -*en de a/ a Ret*r a *na de a/

1 $4,500,000.00 $2,000,000.002 $4,453,900.00 $2,000,000.003 $4,387,783.38 $2,500,000.004 $3,792,958.92 $3,000,000.00

5 $2,439,8!1.!9 $3,500,000.00


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sad *n+ers*n a(d

$1,953,900.00 $4!,100.00 $4,453,900.00$1,933,883.38 $!!,11!.!2 $4,387,783.38$1,905,175.54 $594,824.4! $3,792,958.92$1,!4!,902.7! $1,353,097.24 $2,439,8!1.!9

$1,059,387.95 $2,440,!12.05 ($750.37

Interesesa60,4342

ret*r de a*ta a *na de a/d(


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Tasa Interna de RetrnA"# 0 1 2 3&'# (10000 5123 5123 5123

TIR 25%

Per*d

0(1 10000 2500 12500 51232.00 7377 1844.25 9221.25 5124

3 4097.25 1024.3125 5121.5!25 5125

sada-ad ar*n** de

er*d

*nteresesanadsdrante eer*d

sad a *nade er*d

ret*rs a*na deer*d


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2"21)) +033"3,- )31-,"1++ ),,1)0"31*000*000

-00*00010)*)+0",

3*000*000 1*000*000 1*-00*000 2*000*000 2*-00*000 2*+00*0001+*10*33- *+*033 *)+2*2-) *)20*,-0 *--*2-0 3*,+0*000

3*000*000 1*0-0*000 1*0-0*000 1*0-0*000 1*0-0*000 1*0-0*0001+*10*33- *,0+*23- 3*+,*-+2 2*-+3*3) 1*)13*2- 1*1,*-00

0 -0*000 -0*000 )-0*000 1*-0*000 1*,-0*000

0 22*202 1*)*,+ 2*33,*3- 2*2*2- 2*32*-00

)0. - 3 2 1

3*000*000 1*000*000 1*-00*000 2*000*000 2*-00*000 2*+00*00011*13,*3 2*,0*))0 1)*-+*1-0 13*,1+*000 )*02-*000 -*320*000

VPN (TIO)

0% 9,800,000.00

10% 5,790,925.10

20% 3,367,991.30

30% 1,818,106.50

35% 1,249,364.20

40% 778,272.70

50% 51,851.90

60% -473,468.8070% -864,833.90

80% -1,164,010.70

90% -1,397,901.40

12 43%

Tasa de intersde !"!rt#nidad


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$!

1 4,500,000 2,000,000 1,953,900 46,100 4,453,900

2 4,453,900 2,000,000 1,933,883 66,117 4,387,783

3 4,387,783 2,500,000 1,905,176 594,824 3,792,959

4 3,792,959 3,000,000 1,646,903 1,353,097 2,439,862

5 2,439,862 3,500,000 1,059,388 2,440,612 -750

&!nt! in'ersin!*ien+! de a! (a)

etir! a inade a! (/)

Intereses ()(a) 0,4342

etir! dea"ita a inade a! (d)

(/)-()

ad!in'ersin (a)-

(d)


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3*000*0003*000*000 ,*-2*)-,

1*2)*3"2

*0-0*000*0-0*000 0

0"01*0-0*000

1*0-0*000 ,*-2*)-,

1*2)*3"2

03*000*0003*000*000 -*,-*-03

1*3),*)01"


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105%

$! 0 1 2 3 4

#! 0 -7,000,000 15,000,000 8,000,000 -20,000,000

0 -519,542,651 543,075,942 141,288,050 -172,302,500

VPN (TIO)

0% 500,000.00

5% 16,064.20

10% -179,850.1015% -228,952.30

20% -208,833.40

25% -161,536.00

30% -109,152.10

35% -62,598.50

40% -26,595.50

45% -2,503.60

50% 10,059.40

55% 12,304.70

60% 5,762.60

65% -7,992.20

70% -27,480.50

75% -51,382.90

80% -78,559.50

85% -108,048.50

90% -139,052.60

95% -170,919.90

100% -203,125.00

105% -235,249.70

35%3*000*000 1*000*000 1*-00*000 2*000*000 2*-00*000

*+*033 *)+2*2-) *)20*,-0 *--*2-0

Tasa de inters de!"!rt#nidad


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5 6 7

-15,000,000 14,500,000 5,000,000

-63,037,500 29,725,000 5,000,000 -35,793,659

-235,249.7

2*+00*000 3*000*0003*,+0*000 3*000*000 2-*,23*2)3

*2)*3"2

-1.4164547193


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ejercicios Capitulo 4_parte 1

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