solucion_tasa nominal y tasa nominal flujo de efectivo

7/23/2019 Solucion_Tasa Nominal y Tasa Nominal Flujo de Efectivo

1/31

UPC

FINANZAS PARA

LAS OPERACIONESEJERCICIOS:

. Tasa Nominal

01 al 23

. Tasa

Nominal Flujo de Efectivo 24 al 44


2/31

1.-

Datos:

K =80,000 VF =VP (1 + t)n

n = (3*12)= 36 VF =80,000 (1+0.01666666667)36

t = (20%/12) 0.01666666667 VF = 145,050.43

2.-

Datos:

K =3,000 VF =VP (1 + t)n

n = (5*360)= 1800 VF =3,000 (1+4.444444444.x10-4)1800

t = (8%/180) = 4.444444444

x10-4VF = 6,675.436287 -3000

VF = 3,675.436287

3.-

a) Capitalizacin semestralDatos:

K =70,000 VF =VP (1 + t)n

n = 1 VF =70,000 (1+0.06)1

t = (12%/2) = 0.06 VF = 74,200

b) Capitalizacin bimestralDatos:

K =70,000 VF =VP (1 + t)n

n = 1 VF =70,000 (1+0.02)6

t = (12%/12) = 0.02 VF = 78,831.36935

c) Capitalizacin bimestralDatos:

K =70,000 VF =VP (1 + t)n

n = 6 VF =70,000 (1+0.02)6


3/31

t = (12%/6) = 0.02 VF = 78,831.36935

4.-

K =50,000 VF =VP (1 + t)n

n = (2.5*360)= 900 VF =50,000 (1+6.666666667 x10-4)900

t = (2%/30) = 6.66666666 x10-4 VF = 91,087.72875

5.-

K =130,000 VF =VP (1 + t)n

n = (2*12)= 24 VF =130,000 (1+2 x10-3)24

t = (2.4%/12) = 2 x10-3 VF = 136,385.6472

6.-

K =15,025

VF =VP (1 + t)n

n = 120 VF =15,025 (1+1.5 x10-4)120

t = (5.4%/360) = 1.5 x10-4 VF = 15,297.88

7.-

K =150,000

VF =VP (1 + t)n

n = (6x3 aos)= 18 VF =150,000 (1+9.333333333x10-3)18

t = (5.6%/6) = 9.333333333x10-3 VF = 177,302.29

8.-

K =50,000

VF =VP (1 + t)n

n = (4x3.5 aos)= 14 VF =50,000 (1+0.08)14

t = (32%/4) = 0.08 VF = 146,859.68

9.-

K =23,000 VF =VP (1 + t)

n

n = (2x2.5 aos)= 5 VF =23,000 (1+0.15)5

t = (30%/2) = 0.15 VF = 46,261.21531

10.-

VF =60,000

VF =VP (1 + t)n

n = (12x2 aos)= 24 60,000 =K (1+0.02)24

t = (24%/24) = 0.02 K = 60,000/1.608437249

K = ? K= 37,303.28928


4/31

11.-

K =3,000

VF =VP (1 + t)n

n = (4 x 3 aos)= 12 9,000 =3,000 (1+t)12

t = ! 3 = (1+t)12

VF = 9,000= 1 + t

1.095872691 = 1 +t

t = 0. 095872691 x (4)

t = 0. 3834907645 x 100

12.-

K =30,350

a)

t = (2.4%/2) = 0.012

n= (2 x 4 aos) =8

VF =VP (1 + t)n

VF =30,350 (1 + 0.012)8

VF"=33,388.95259

b)

t = (2.4%/1) = 0.024

n= (1 x 4 aos) =4

VF =VP (1 + t)n

VF =30,350 (1 + 0.024)4

VF#=33,370.1779

VF = VF# -VF"

VF = 33,370.1779 - 33,388.95259

VF =18.77469

$o &o tanto 'an nos + 18.77


5/31

)

n= (360 x 4 aos) =1440

t = (2.4%/360) = 6.666666667x10-5

VF =VP (1 + t)n

VF =30,350 (1 + 6.666666667x10-5)1440

VF=33,407.93069

VF = VFVF"

VF =33,407.93069 - 33,388.95259

VF =18.97819

$o &o tanto 'an nos + 18.98

Respuestas: a USS 33,388.95! " USS 18.77 menos,c US$ 18.98

ms.

13.-

K2=15,000

K1=20,000

a)

t = 0.2448 t = 0.2448

n= (2 x 3 aos) =6 n= (12 x 3 aos) = 36

VF =VP (1 + t)n VF =VP (1 + t)n

VF =20,000 (1 + 0.2448)6 VF =15,000 (1 + 0.2448)36

VF"1=23,123.35787 VF"2=35,827.51614

$o &o tanto, &a sa + aos +tos =

= VF"1 VF"2

= 23,123.35787 +35,827.51614 =58,950.87401

b)

t = 0.2448 t = 0.2448

n= (4 x 3 aos) =12 n= (4 x 3 aos) = 36

VF =VP (1 + t)n VF =VP (1 + t)n


6/31

VF =20,000 (1 + 0.2448)12 VF =15,000 (1 + 0.2448)12

VF#1=26,734.4842 VF#2=20,050.86315

$o &o tanto, &a sa + aos +tos =

= VF"1 VF"2

= 26,734.4842 + 20,050.86315 = 46,785.34735

14.-

Datos:

K2=18,000.00

K1=17,890.00

n= (12 ss x 3 aos 10 ss) = 36 n= (42 ss x 30 +as) = 1260

t = (12%/12)= 0.01 t = (9.5%/360)= 2.638888889x10-4

VF =VP (1 + t)n VF =VP (1 + t)n

VF =17,890.00 (1 + 0.01)46 VF =18,000.00 (1 + 2.638888889x10-

4)1260

VF1=28,274.40891 VF2=25,098.99722

$o &o tanto, &a sa + aos :

= VF1 VF2

= 28,274.40891+ 25,098.99722 = 53373.40611

15.-

a)

A 150 da = 31 / 03/ 2007 !" 01/01/2007 a 31 / 03/ 2007 = 89

da

#ata "$ 01/01/2007 = 61 da

K1=80,000 K2=80,661.47524

t = (4.86%/360) = 1.35x10-4 t = (3.60%/360) = 1x10-4

n1= 61 2= 89

VF =VP (1 + t)n VF =VP (1 + t)n

VF =80,000 (1 + 1.35x10-4)61 VF =80,661.47524 (1 + 1x10-4)89


7/31

VF1=80,661.47524 VF2=81,382.53025

b)

K = 81,382.53025

t = (3.60%/360) = 1x10-4

n= = 150

VF =VP (1 + t)n

VF =81,382.53025 (1 + 1x10-4)150

VF#=82,612.40773

Respuestas: a USS 81.38.5!! " USS 8,"1.!

16.-

K2=18,000.00

K =18,000.00

$o+o 1 $o+o 2

n= (8 ss x 30) = 240 n= (12 ss x 2) = 24

t = (1.5%/30)= 5x10-4 t = (3.2%/4)= 8x10-3

VF =VP (1 + t)n VF =VP (1 + t)n

VF =18,000.00 (1 + 5x10-4)240 VF =20,294.33469 (1 + 8x10-3)24

VF1=20,294.33469 VF2=24,571.26914

$o+o 3

n= (4 ss) = 4

t = (2.0%/1)= 0.02


8/31

VF =VP (1 + t)n

VF =24,571.26914 (1 + 0.02)4

VF3=26,596.73193

1#.-

$K =?

a)

n= 18

t = (24%/360) = 6.666666667x10-4

K (1 +6.666666667x10-4)18= K + 500

K (1.012068292) = K + 500

0.01206824238) = K + 500

K = 41,431.05

b)

K= 41,431.05

KF= (41,431.05 x 2) = 82,862.10

82,862.10 = 41,431.05(1 +6.666666667x10-4)x

%&' (2.000000186) = %&' (6.666666667x10-4)x

0.3010300361 = x %&' (6.666666667x10-4)

= 1,041 da

Respuestas: S#. !1,!31.5 % 1,!1 &'(s

1%.-

Respuesta: )( *+me+(

19.-

a)

(1 + 0.01)1-1 = 1 *0.01


9/31

b)

(1 + 0.01)3-1 = 1.03301 *3.0301

)

(1 + 0.01)12-1 = 12.68250301 *0.1268

Respuestas: a 1.-," 3.31-,c 1."853-

20.-

.a)

(1 + 0.015625)12-1 = 20.44827702

b)

(1 + 0.04245)4-1 = 18.09222422

)

(1 + 0.08615)2

-1 = 17.972182

d)

(1 + 0.2)1-1 = 20

Respuestas: a .!!877-,"18.91!-, c 17.9718-,

d .-

21.-

a) b)

K1=46,948.50 V/V-1 100

n = 90

K2=50,000.00 50,000 / 46,948.50 1 = 0.06499675176

46,948.50 = (1+ )90=$o &o tanto: 6.499675176


10/31

50,000.00

(1+ )90 = 1.064996752)

nta&+a+= 3051.5 x (3) = 91.545

1+ = - 1

50,000 - 91.545 = 49,908.455

= 6.999309393 10-4

49,908.455 / 46,948.50 -1 = 0.06304684921

=0.06299378453

$o &o tanto: 6.304684921

$o &o tanto = 6.299378453%

Respuestas: a N ".99379- /on /.&.! " E ".!99"75175-,c E

".3!"7!7-


11/31

22.-

K = 29,862 03/09/2004

"a A ! &. da

15/08/2004 2.4 0.01 39 29,939.74

12/10/2004 2.8 0.01 22 29,991.01

03/11/2004 3.2 0.01 104 30,269.53

15/02/2005 2.9 0.01 259 30,907.68

01/11/2005 2.4 0.01 300 31,532.04

;"< 31,532.04

Respuesta: USS 31,53.3

23.-

ta+o 125,000.00

osons 15.00

02/01/2005

"a aa d" nt"

ana$

aa daa &. da

02/01/2005 4.80 0.0133 222 128,755.05

12/08/2005 3.60 0.0100 134 130,491.89

24/12/20 5 4.44 0.0123 9 130,636.81

;"< 130,621.81

Respuesta: S#. 13,"1.81

!.0

C)/)o *(+( e) mes () 5

&F' ( 4!000.00

&F ' 4!30).13*01* 2!343.00


12/31

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13/31

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14/31

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15/31

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16/31

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18/31

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19/31

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RESPUESA : 1",3!!.!9

31.0

/Cstamo' cuotas t/a8das al p/esente.


20/31

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21/31

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22/31

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Res*es2(

a) US$ 7,062.50

b) Si X = 7062.50T = 10!"360 = 77062.50#$1% 10!"360)&360#7 = 14220.74

Respuesta: Si Ximena 'em(ra n a*( m+s en p(nerse 'e acer'( ten'r+ ,epaar S/ 1220.7 p(r,e a ten'ra ,e c(nsi'erarse 7 a*(s.

3.-

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0 % 12 2410 E1: 9- 0 E: 9.5-

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23/31

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allamos el Nuevo capital >ue se deposita a los 12 meses

M ' D1%09( ' 2.%

M' (2.% 1i2

lanteamos la ecuacin

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/esente '

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Res*es2(: El capital incial fue de US; 9,35!.3

35.0


24/31

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25/31

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solucion_tasa nominal y tasa nominal flujo de efectivo

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