Factors: How Time and Interest Affect Money
dani4Monografía25 de Septiembre de 2016
5.927 Palabras (24 Páginas)295 Visitas
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
- P = 140,000(F/P,7%,4)
=140,000(1.3108)
= $183,512
- F = 200,000(F/P,10%,3)
= 200,000(1.3310)
= $266,200
- P = 600,000(P/F,12%,4)
= 600,000(0.6355)
= $381,300
- (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
- F = 150,000(F/P,18%,7)
= 150,000(3.1855)
= $477,825
- P = 75(P/F,18%,2)
= 75(0.7182)
= $53.865 million
- P = 100,000((P/F,12%,2)
= 100,000(0.7972)
= $79,720
- F = 1,700,000(F/P,18%,1)
= 1,700,000(1.18)
= $2,006,000
- P = 162,000(P/F,12%,6)
= 162,000(0.5066)
= $82,069
- P = 125,000(P/F,14%,5)
= 125,000(0.5149)
= $ 64,925
- 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
- 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
- F = 65,000(F/P,4%,5)
= 65,000(1.2167)
= $79,086
- P = 75,000(P/A,20%,3)
= 75,000(2.1065)
= $157,988
- A = 1.8(A/P,12%,6)
= 1.8(0.24323)
= $437,814
- A = 3.4(A/P,20%,8)
= 3.4(0.26061)
= $886,074
- P = (280,000-90,000)(P/A,10%,5)
= 190,000(3.7908)
= $720,252
- P = 75,000(P/A,15%,5)
= 75,000(3.3522)
= $251,415
- F = (458-360)(20,000)(0.90)(F/A,8%,5)
= 1,764,000(5.8666)
= $10,348,682
- P = 200,000((P/A,10%,5)
= 200,000(3.7908)
= $758,160
- P = 2000(P/A,8%,35)
= 2000(11.6546)
= $23,309
- A = 250,000(A/F,9%,3)
= 250,000(0.30505)
= $76,263
- F = (100,000 + 125,000)(F/A,15%,3)
= 225,000(3.4725)
= $781,313
- (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/0.0654
x = 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
- 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
- 1. (F/A,19%,20) = [(1 + 0.19)20 – 0.19]/0.19
= 169.6811
- (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
- (a) G = $5 million (b) CF6 = $6030 million (c) n = 12
- (a) G = $100 (b) CF5 = 900 – 100(5) = $400
2.30 300,000 = A + 10,000(A/G,10%,5)
300,000 = A + 10,000(1.8101)
A = $281,899
2.31 (a) CF3 = 280,000 – 2(50,000)
= $180,000
(b) A = 280,000 – 50,000(A/G,12%,5)
= 280,000 – 50,000(1.7746)
= $191,270
- (a) CF3 = 4000 + 2(1000)
= $6000
(b) P = 4000(P/A,10%,5) + 1000(P/G,10%,5)
= 4000(3.7908) + 1000(6.8618)
= $22,025
- P = 150,000(P/A,15%,8) + 10,000(P/G,15%,8)
= 150,000(4.4873) + 10,000(12.4807)
= $797,902
- A = 14,000 + 1500(A/G,12%,5)
= 14,000 + 1500(1.7746)
= $16,662
- (a) Cost = 2000/0.2
= $10,000
(b) A = 2000 + 250(A/G,18%,5)
= 2000 + 250(1.6728)
= $2418
- Convert future to present and then solve for G using P/G factor:
6000(P/F,15%,4) = 2000(P/A,15%,4) – G(P/G,15%,4)
6000(0.5718) = 2000(2.8550) – G(3.7864)
G = $601.94
- 50 = 6(P/A,12%,6) + G(P/G,12%,6)
50 = 6(4.1114) + G(8.9302)
G = $2,836,622
- A = [4 + 0.5(A/G,16%,5)] – [1 –0.1(A/G,16%,5)
= [4 + 0.5(1.7060)] – [1 –0.1(1.7060)]
= $4,023,600
...