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    UNIVERSIDAD NACIONAL FEDERICO VILLAREAL

    TAREA N° 1

    CURSO : MATEMATICA FINANCIERA

    DOCENTE : VERONICA MORE SANCHEZ

    ALUMNO : MARIA ELOISA NUÑEZ ROBLES

    FACULTAD : ECONOMIA

    CICLO : II

    LIMA, 2016

    http://euded.unfv.edu.pe/aulavirtual/blocks/messageteacher/message.php?courseid=1464&referurl=http%3A%2F%2Feuded.unfv.edu.pe%2Faulavirtual%2Fcourse%2Fview.php%3Fid%3D1464&recipientid=7090http://euded.unfv.edu.pe/aulavirtual/blocks/messageteacher/message.php?courseid=1464&referurl=http%3A%2F%2Feuded.unfv.edu.pe%2Faulavirtual%2Fcourse%2Fview.php%3Fid%3D1464&recipientid=7090

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    TALLER 1

    1. RESOLVER

    a. 5% DE 500

    500*(5

    100 ) = 500 * 0.05 = 25

    . 512 % DE !00

    512 % =

    (5∗2)+12 =

    11

    2 = 5.5%

    800*(5.5100 ) = 800 * 0.055 = ""

    #. 200% DE "! 000

    48 000*(200100 ) = 48 000 * 2 = $6 000

    . &151

    16 % DE 200

    3151

    16 % =(315∗16 )+1

    16 =5041

    16 = 315.0625%

    200*(315.0625

    100 ) = 200 * 3.1525 = 6&0.125

    2. 'UE (ORCENTA)E DE

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    a. 500 ES 25

    100%*(25

    500 ) = 100% * 0.05 = 5%

    . 20 000 ES 2212.50

    100%*(2212.5020000 ) = 100% * 0.110625 = 11.0625%

    #. !00 ES ""

    100%*(44800 ) = 100% * 0.055 = 5.5%

    . 200 ES 500

    100%*(500200 ) = 100% * 2.5 = 250%

    *. 0.25 ES 0.005

    100%*(0.0050.25 ) = 100% * 0.02 = 2%

    &. U+a * - */a *#* a a 3*+4a * * a */ #78 - *# * /4a */* S9. 650, # + 7+ */#7*+4 * 12% - 3*+4a a # +4a 8 # + * 5%* -7*/4 a a/ 3*+4a/. Ca #7 * / / 7 *+4*/ 4* /:

    a. E 3a * a a#47 a a -a a .

    . E */#7*+4 * *#4 3

    #. E - #*+4a;* * *#4 3

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    Refrigeradora: S9. 650.00

    Contado: 12%

    Imp e!to "enta!: 5%

    12% d#to. por $enta a #ontado:

    650 * ( 12100

    ) = 650 * 0.12 = S9. &8.00

    5% imp e!to a a! $enta!:

    5&2 * ( 5100

    ) = 5&2 * 0.05 = S9. 28.6

    a. ' $a or de a fa#t ra a pagar e! S9. 600.60.

    . ' de!# ento efe#ti$o e!:

    re#io de i!ta "a or de a fa#t ra

    650.00 600.60 = S9. "$."0

    #. ' por#enta e efe#ti$o + e ,enefi#ia a # iente

    S9. 650.00 re#io de i!ta- &8.00 12% d#to. por $enta a #ontado

    5&2.00 re#io #on de!# ento28.60 5% imp e!to a a! $enta!

    S9. 600.60

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    100% * (49.40650.00

    ) = 100 * 0.0&6 = &.60%

    ". U+a /4 7 a # * # a *#* #* 7 a */ - * -a *+ - # =+#78 - *# * /4a */ * S9. 200 # + 7+ */#7*+4 * 15 1>!% - 3*+4a a # +4a , -* a- #a 7+ -7*/4 * 5% * -7*/4 a a/3*+4a/ / * * - *# * /4a. Ca #7 * / / 7 *+4*/ I4* /:

    a. E 3a * a a#47 a a -a a .

    . E */#7*+4 * *#4 3

    #. E - #*+4a;* * *#4 3

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    200 * ( 5100

    ) = 200 * 0.05 = S9. 10.00

    a. ' $a or de a fa#t ra a pagar e! S9. 1?$.?5.

    . ' de!# ento efe#ti$o e!:

    re#io de i!ta "a or de a fa#t ra

    200.00 1&/.&5 = S9. 20.25

    #. ' por#enta e efe#ti$o + e ,enefi#ia a # iente

    100% * ( 20.25200.00 ) = 100 * 0.10125 = 10.125%

    5. U+ # * # a+4* # - a * #a * @a - 7+ 3a * 1!0,000 8 a3*+ * *+ 2?0,000. Ca #7 * / / 7 *+4*/ @4* /:

    a. La 74 a .

    . E - #*+4a;* * */4a *+ * a# =+ # + * - *# * # /4 .

    #. E - #*+4a;* *+ * a# =+ # + * - *# * 3*+4a.

    Compra mer#ader a: 180 000 ( C)

    S9. 200.00 re#io de i!ta- 30.25 15% d#to. por $enta a #ontado

    16/.&5 re#io #on de!# ento10.00 5% imp e!to a a! $enta! !o,re pre#io de i!ta

    S9. 1?$.?5

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    "ende mer#ader a: 2&0 000 ( ")

    a. La 74 a .

    re#io de $enta = re#io de #o!to ti idad

    2&0 000 = 180 000 ti idad

    ti idad = 2&0 000 - 180 000

    U4 a $0 000

    . E - #*+4a;* * */4a *+ * a# =+ # + * - *# * # /4

    100% * ( 90000180000

    ) = 100 * 0.5 = 50%

    #. E - #*+4a;* *+ * a# =+ # + * - *# * 3*+4a.

    100% * ( 90000270000

    ) = 100 * 0.333= 33.33%

    6. U+a * - */a # - a 200 +*/ * a */ * -*4 = * a 20.00 *a .

    a. Ca #7 * * # /4 * a / a #a+4 a * a */ * -*4 = * a22.00 * a .

    . E - */* *+ - #*+4a;* * a7 *+4 * - *# * # /4 .

    #. E - */* *+ - #*+4a;* * a7 *+4 * - *# * 3*+4a.

    Cantidad ,arri e!: 200 000 000

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    Co!to por nidad: 20.00

    a. Co!to de ,arri e! # ando e! 22.00

    200 000 000 * 22.00 = " "00 000 000

    . mento de 20.00 a 22.00 enton#e!:

    22.00 20.00 = 2.00

    100% * ( 2.0020.00

    ) = 100 * 0.1 = 10%

    #. re#io de $enta = re#io de #o!to ti idad

    " = 22.00 (22.00 * 0.10)

    " = 22.00 2.2

    (V 2".2

    100% * (24.2022.00

    ) = 100 * 1.1 = 10%

    ?. U+a * - */a /4 7 a * a/ # - a */4* - 7#4 a 0,!0 *a 8 3*+ * # + 7+a 74 a * 25 1>2 % * - *# * # /4

    Ca #7 * * - *# * 3*+4a * a * a/.

    re#io #o!to : 0.80

    ti idad: 2512 %

    2512 % ti idad de pre#io de #o!to:

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    2512 % =

    (25∗2 )+12 =

    512 = 25.50 %

    0.80 *( 25.50

    100 )

    = 0.80 * 0.255 = S9. 0.204

    re#io de $enta = re#io de #o!to ti idad

    " = 0.80 0.204

    " = 1.00"

    !. U+a /4 7 a * a/ +a # - a */4* - 7#4 a 1,20 * a =+ 8 3*+ * # + 7+a 74 a * 20% * - *# * 3*+4a.

    a. Ca #7 * * - *# 8

    . La 74 a .

    re#io #o!to : 1.20

    ti idad: 20%

    a. re#io de $enta = re#io de #o!to ti idad

    " = 1.20 (0.20 * ")

    " - 0.20 " = 1.20

    " * (1 - 0.20) = 1.20

    0.80 * " = 1.20

    " =1.200.80

    (V 1.50

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    . = 20% "

    = 0.20 * 1.50

    U 0.&0

    $. Ca #7 * * #a - *- *# a# =+ a+7a * 7+ *

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    VALOR EN LIBROS CONTABLES

    TIEM(O CARGODE(RECIACIONFONDO

    DE(RECIACIONVALOR

    LIBROS9FINAL AÑO

    32000.001 2266.6& 2266.6& 2/&33.33

    2 2266.6& 4533.33 2&466.6&

    3 2266.6& 6800.00 25200.00

    4 2266.6& /066.6& 22/33.33

    5 2266.6& 11333.33 20666.6&

    6 2266.6& 13600.00 18400.00

    & 2266.6& 15866.6& 16133.33

    8 2266.6& 18133.33 13866.6&/ 2266.6& 20400.00 11600.00

    10 2266.6& 22666.6& /333.33

    11 2266.6& 24/33.33 &066.6&

    12 2266.6& 2?200.00 "!00.00

    10. U+a Ma

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    C =1600000 − 200000

    5000000

    C =140000

    5000000

    CD 0.2! (OR UNIDAD

    . C an a = 500 000 * 0.28

    CD a+7a 1"0 000

    #. Ta a * *- *# a# =+

    7o! de depre#ia#i9n =1600 000 − 200000

    140000

    A / * *- *# a# =+ 10 a /.

    AÑO UNIDADESDE(RECIACION

    ANUALDE(RECIACION

    TOTALVALOR

    LIBROS9FINAL AÑ 1600000.00

    1 500000 140000.00 140000.00 1460000.00

    2 500000 140000.00 280000.00 1320000.00

    3 500000 140000.00 420000.00 1180000.00

    4 500000 140000.00 560000.00 1040000.00

    5 500000 140000.00 &00000.00 /00000.00

    6 500000 140000.00 840000.00 &60000.00

    & 500000 140000.00 /80000.00 620000.00

    8 500000 140000.00 1120000.00 480000.00

    / 500000 140000.00 1260000.00 340000.00

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    10 500000 140000.00 1400000.00 200000.0011. Ca #7 *

    a. 1 J ;K115 2.1"?10$

    og (1 )115 = og 2.14&10/

    115 og (1 ) = og 2.14&10/

    og (1 ) =log2.147109

    1 15

    og (1 ) = 0.00288568

    (1 ) = anti og 0.00288568

    (1 ) = 1.00666

    = 1.00666 1

    = 0.0066

    ; 0.66%

    . 1 J ;K?0 &.$$$55!

    og (1 )&0 = og 3.///558

    &0 og (1 ) = og 3.///558

    og (1 ) =log3.999558

    70

    og (1 ) = 0.000860

    (1 ) = anti og 0.000860

    (1 ) = 1.01///

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    = 1.01/// 1

    = 0.01///

    ; 1.$$%

    #. 1 J ;K?5 0.0"2?!&

    og (1 )-&5 = og 0.042&83

    -&5 og (1 ) = og 0.042&83

    og (1 ) =log 0.042783

    − 75

    og (1 ) = 0.01824/&

    (1 ) = anti og 0.01824/&

    (1 ) = 1.042/16/

    = 1.042/16/ 1

    = 0.042/1

    ; ".2$%

    . 1 J ;K&5 2!.666?2&

    og (1 )35 = og 28.666&23

    35 og (1 ) = og 28.666&23

    og (1 ) =log28.666723

    35

    og (1 ) = 0.04163/

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    (1 ) = anti og 0.04163/

    (1 ) = 1.100624/

    = 1.100624/ 1

    = 0.100624/

    ; 10.06%

    12. Ca #7 * +

    a. 1 J 0.05K+ 6&.25"&5&

    og (1 0.05) n = og 63.254353

    n og (1.05) = 1.8010/0

    n =1.801090log 1.05

    n = 84.///

    + !5 -* /.

    . 1 J 0.0125K+ 2.10?1!1

    og (1 0.0125) n = og 2.10&181

    n og (1.0125) = 0.323&018

    n =0.3237018log1.0125

    n = 5/.///

    + 60 -* /.

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    #. 1 J 0.0$125K+ 15!.&"5$2"

    og (1 0.0/125) n = og 158.345/24

    n og (1.0/125) = 2.1//606

    n =2.199606

    log1.09125

    n = 5&.///

    + 5! -* /.

    . 1 J 0.12125K+ 0.0010"2

    og (1 0.12125) n = og 0.001042

    n og (1.12125) = -2./82132

    n =− 2.982132log1.12125

    n = -5/.///

    + 60 -* /.