Manual

Manual de soluciones
CAPÍTULO 5
Ejercicios 5.2
2. 20,000 = R(1 + 0.096/24)[pic] = R(1.004)(6.060321)
( R = 20,000/6.084562284 o R = $3,287.01
3. 15,000 = 445(1 + 0.65/52)[pic] ( (1.00125)n = 1.041614648
n = ln(1.042082229)/ln(1.0125) = 32.99728999 o 33 semanas
4. (1 + i/24)24 = (1 + 0.1024/12)12 ( 1 + i/24 = 1.004257603
M = 700(1.004257603)[pic] = 700(8.15480611) o $5,708.36
5.25,000 = 1,800(1 + 0.114/12)[pic] ( (1.0095)n = 1.130702768
n = ln(1.130702768)/ln(1.0095) = 12.99178163 ( 13
6. M = 35,000(1 + 0.12(7/12)) = 37,450
37,450 = R(1 + 0.1302/24)[pic] = R(14.58323649) ( R = $2,568.02
7. M = 375(1 + 0.0952/52)[pic] = 375(8.066188744) = $3,024.82
3,024.82 < 3,200 ( con 8 abonos semanales
8. M = 450(1 + 0.112/24)[pic] = 9,454.31
( I = 9,454.31 – 450(20) =$454.31
9. a) M = 22,500(1 + 2(0.10)) = 27,000
b) M = 1,380(1 + 0.096/12)[pic] = $26,816.2276
c) M = 4,050(1 + 0.11/4) = [pic] 26,749.07
d) (1 + i/2)2 = 1.1236 ( 1 + i/2 = 1.06
M = 7,900.00(1.06)[pic] = 26.659.47 ( la primera
10. M1 = 7,000(1 + 0.116/2)14 = 15,413.36234
M2 = 150,000 – 15,413.36234 = 134,586.6377
134,586.6377 = R(1.058)[pic] = R(19.72256732) ( R = $6,823.99
b) M1= 7,000(1 + 0.116/2)30 = 37,989.89
M2 = 6,823.99(1.058)[pic] = 6,823.99(75.32978585) = $514,049.71

c) I = 552,039.60 - (7,000 + 29(6,823.99)) = $347,143.89
11. 14,000 = 875(1 + 0.0972/12)[pic] = (1.0081)n = 1.128558675
n = ln(1.128558675)/ln(1.0081) = 14.99141524 o 15
12. M1 = 500(1 + 0.216/12)[pic] = 500(91.6468609) = 45,823.43045
M = M1(1.018)24 = M1(1.534428555) o M = $70,312.7813. 54,000 = R(1 + 0.1176/24)[pic] = R(1.0049)(39.26558449)
R = 54,000/39.45798585 o R = $1,368.54
14. M1 = 850(1 + 0.096/12)[pic] = 3,468.546169
i = 0.096 + 0.018 = 0.114 M2 = M1(1 + 0.114/12)6 = 1.058371020 M1
= 3,671.008747
M3 = 850(1.0095)[pic] = 5,272.285578
M4 = M2 + M3 = 8,943.294278 M1 M1 + M3 M5 + M6
4 6 M4 5 MT
i = 0.114 + 0.018 = 0.132 ( M5= M4(1 + 0.132/12)5 = 9,446.113112
M6 = 850(1.011)[pic] = 4,392.324016 ( MT = M5 + M6 = $13,838.44
b) I = 13,838.44 – 15(850) = $1,088.44
15. 8,500 = 375(1 + 0.1248/52)[pic] ( (1.0024)n = 1.054269753
n = ln(1.054269753)/ln(1.0024) = 22.04655 22
16. a) M1 = 400(1 + 0.126/12)[pic] = 10,967.55522
b) M2 = 800(1 + 0.126/6)[pic] = 11,016.80404
c) M3 = 200(1 + 0.1128/24)[pic] = 10,791.429447( la segunda
17. M1 = 425(1 + 0.198/24)[pic] = 2,624.652098
M2 = M1(1 + 0.222/24)8 = 2,825.282048
M3 = 425(1.00925)[pic] = 3,544.622374 ( M4 = M2 + M3 = 6,369.904422
M5 = M4(1 + 0.24/24)12 = 7,177.76755
M6 = 425(1.01)[pic] = 5,443.964413 ( MT = M5 + M6 = $12,621.73
18. M = 650(1 + 0.168/24)[pic] = 650(188.3950814) = $122,456.80
19. 25,000 = 1,735(1 + 0.2028/52)[pic]
(1.0039)n =(25,000/1,735)(0.0039)/1.0039 + 1 = 1.055977653
n = ln(1.055977653)/ln(1.0039) = 13.99311921 o 14
20. M = 179,500(1 + (0.15/12)14) = 210,912.50 n = 9
210,912.50 = 21,250(1 + 0.1170/6)[pic] ( (1.0195)n = 1.189841329
n = ln(1.189841329)/ln(1.0195) = 9.000474414 o 9
21. M1 = 30,000(1 + 0.129/12)8 = 32,679.18786
M2 = 125,000 – 32,679.18786 = 92,320.81214
92,320.81214 = R(1.01075)[pic] =R(7.30755918) ( R = $12,633.60
22. M = 1,750(1 + 0.091/52)[pic] = 23,030.64824 (c)
23. 129,000 = R(1 + 0.138/12)[pic] = R(12.93593382)
( R = 129,000/12.93593382 = 9,972.2217 (c)
24. 38,850 = 2,500(1 + 0.105/24)[pic]
[pic] + 1 = (1.004375)x ( (1.004375)x = 1.06769135
ln(1.004375)x = ln(1.06769135) ( x = 15.003857 (b)
25. 38,850 – 15(2,500) = 1,350 (c)
26. M = 32,570(1 + 0.13/2) ( M =34,687.05
34,687.05 = R(1 + 0.1144/52)[pic]
( R = 34,687.05/26.78654559 = 1,294.943 (d)
27. I1 = 34,687.05 – 32,570 = 2,117.05
I2 = 34,687.05 – 1,294.94(26) = 1,018.61 (a)
28. M = 1,750(1 + 0.156/24)[pic]
M = 1,750(45.80958799) = 80,166.78
90,857.45 – 80,166.78 = 10,690.67579
C = 10,690.67579(1.0065)-40 = 8,250.00079 (a)
+ 1,750
10,000
29. 70,000 = 8,193(1 +...