Homework Answers
| Investment A: | |||
| PV = 16000*(1.22^5-1)/(0.22*1.22^5) = | $ 45,818 | ||
| Investment B: | |||
| PV = ((16000*(1.22^6-1)/(0.22*1.22^6))/1.22^4 = | $ 22,873 | ||
| Investment C: | |||
| PV = 21000/1.22+63000/1.22^6+21000/1.22^10 = | $ 39,195 | ||
| ALTERNATIVE SOLUTIONS: | |||
| INVESTMENT A: | |||
| Year | Cash flow | PVIF at 22% | PV at 22% |
| 1 | 16000 | 0.81967 | 13115 |
| 2 | 16000 | 0.67186 | 10750 |
| 3 | 16000 | 0.55071 | 8811 |
| 4 | 16000 | 0.45140 | 7222 |
| 5 | 16000 | 0.37000 | 5920 |
| 6 | 0.30328 | 0 | |
| 7 | 0.24859 | 0 | |
| 8 | 0.20376 | 0 | |
| 9 | 0.16702 | 0 | |
| 10 | 0.13690 | 0 | |
| 45818 | |||
| INVESTMENT B: | |||
| Year | Cash flow | PVIF at 22% | PV at 22% |
| 1 | 0.81967 | 0 | |
| 2 | 0.67186 | 0 | |
| 3 | 0.55071 | 0 | |
| 4 | 0.45140 | 0 | |
| 5 | 16000 | 0.37000 | 5920 |
| 6 | 16000 | 0.30328 | 4852 |
| 7 | 16000 | 0.24859 | 3977 |
| 8 | 16000 | 0.20376 | 3260 |
| 9 | 16000 | 0.16702 | 2672 |
| 10 | 16000 | 0.13690 | 2190 |
| 22873 | |||
| INVESTMENT C: | |||
| Year | Cash flow | PVIF at 22% | PV at 22% |
| 1 | 21000 | 0.81967 | 17213 |
| 2 | 0.67186 | 0 | |
| 3 | 0.55071 | 0 | |
| 4 | 0.45140 | 0 | |
| 5 | 0.37000 | 0 | |
| 6 | 63000 | 0.30328 | 19107 |
| 7 | 0.24859 | 0 | |
| 8 | 0.20376 | 0 | |
| 9 | 0.16702 | 0 | |
| 10 | 21000 | 0.13690 | 2875 |
| 39195 |
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