Capitulo 2 Ing Economica

Chapter 2

Factors: How Time and Interest Affect Money

Solutions to Problems

2.1 1. (F/P,8%25) = 6.8485; 2. (P/A,3%,8) = 7.0197; 3. (P/G,9%,20) = 61.7770;
4. (F/A,15%,18) = 75.8364; 5. (A/P,30%,15) = 0.30598

2. P = 140,000(F/P,7%,4)
=140,000(1.3108)
= $183,512

3. F = 200,000(F/P,10%,3)
= 200,000(1.3310)= $266,200

4. P = 600,000(P/F,12%,4)
= 600,000(0.6355)
= $381,300

5. (a) A = 225,000(A/P,15%,4)
= 225,000(0.35027)
= $78,811

(b) Recall amount = 78,811/0.10
= $788,110 per year

6. F = 150,000(F/P,18%,7)
= 150,000(3.1855)
= $477,8257. P = 75(P/F,18%,2)
= 75(0.7182)
= $53.865 million

8. P = 100,000((P/F,12%,2)
= 100,000(0.7972)
= $79,720

9. F = 1,700,000(F/P,18%,1)
= 1,700,000(1.18)
= $2,006,000

10. P = 162,000(P/F,12%,6)
= 162,000(0.5066)
= $82,069

11. P = 125,000(P/F,14%,5)
= 125,000(0.5149)= $ 64,925

12. P = 9000(P/F,10%,2) + 8000(P/F,10%,3) + 5000(P/F,10%,5)
= 9000(0.8264) + 8000(0.7513) + 5000(0.6209)
= $16,553

13. P = 1,250,000(0.10)(P/F,8%,2) + 500,000(0.10)(P/F,8%,5)
= 125,000(0.8573) + 50,000(0.6806)
= $141,193

14. F = 65,000(F/P,4%,5)
= 65,000(1.2167)
= $79,086

15. P =75,000(P/A,20%,3)
= 75,000(2.1065)
= $157,988

16. A = 1.8(A/P,12%,6)
= 1.8(0.24323)
= $437,814

17. A = 3.4(A/P,20%,8)
= 3.4(0.26061)
= $886,074

18. P = (280,000-90,000)(P/A,10%,5)
= 190,000(3.7908)
= $720,252

19. P = 75,000(P/A,15%,5)
= 75,000(3.3522)
=$251,415

20. F = (458-360)(20,000)(0.90)(F/A,8%,5)
= 1,764,000(5.8666)
= $10,348,682


21. P = 200,000((P/A,10%,5)
= 200,000(3.7908)
= $758,160

22. P = 2000(P/A,8%,35)
= 2000(11.6546)
= $23,309

23. A = 250,000(A/F,9%,3)
= 250,000(0.30505)
= $76,263

24. F = (100,000 +125,000)(F/A,15%,3)
= 225,000(3.4725)
= $781,313

25. (a) 1. Interpolate between n = 32 and n = 34:
1/2 = x/0.0014
x = 0.0007
(P/F,18%,33) = 0.0050 – 0.0007
= 0.0043

2. Interpolate between n = 50 and n = 55:
4/5 = x/0.0654x = 0.05232
(A/G,12%,54) = 8.1597 + 0.05232
= 8.2120

(b) 1. (P/F,18%,33) = 1/(1+0.18)33
= 0.0042

2. (A/G,12%,54) = {(1/0.12) – 54/[(1+0.12)54 –1}
= 8.2143

2.26 (a) 1. Interpolate between i = 18%and i = 20% at n = 20:
1/2 = x/40.06
x = 20.03
(F/A,19%,20) = 146.6280 + 20.03
=166.658

2. Interpolate between i = 25% and i = 30% at n = 15:
1/5 = x/0.5911
x = 0.11822
(P/A,26%,15) = 3.8593 – 0.11822= 3.7411


b) 1. (F/A,19%,20) = [(1 + 0.19)20 – 0.19]/0.19
= 169.6811


2. (P/A,26%,15) = [(1 + 0.26)15 –1]/[0.26(1 + 0.26)15 ]
= 3.7261

2.27 (a) G = $200 (b) CF8 = $1600 (c) n = 10

28. (a) G = $5 million (b) CF6 = $6030 million (c) n = 12

29. (a) G =...