In: Finance
If the discount rate is 12%, what is the present value of the
following cash flows:
|
Year |
Cash Flow |
|
1 |
$10,000 |
|
2 |
$11,000 |
|
3 |
$12,000 |
|
4 |
$13,000 |
|
5 |
$14,000 |
|
6-15 |
$15,000 each year |
| a. |
$144,618 |
|
| b. |
$90, 537 |
|
| c. |
$127,923 |
|
| d. |
$127,197 |
Ans b. $ 90537
| Year | Project Cash Flows (i) | DF@ 12% | DF@ 12% (ii) | PV of Project ( (i) * (ii) ) |
| 1 | 10000 | 1/((1+12%)^1) | 0.892857 | 8,929 |
| 2 | 11000 | 1/((1+12%)^2) | 0.797194 | 8,769 |
| 3 | 12000 | 1/((1+12%)^3) | 0.711780 | 8,541 |
| 4 | 13000 | 1/((1+12%)^4) | 0.635518 | 8,262 |
| 5 | 14000 | 1/((1+12%)^5) | 0.567427 | 7,944 |
| 6 | 15000 | 1/((1+12%)^6) | 0.506631 | 7,599 |
| 7 | 15000 | 1/((1+12%)^7) | 0.452349 | 6,785 |
| 8 | 15000 | 1/((1+12%)^8) | 0.403883 | 6,058 |
| 9 | 15000 | 1/((1+12%)^9) | 0.360610 | 5,409 |
| 10 | 15000 | 1/((1+12%)^10) | 0.321973 | 4,830 |
| 11 | 15000 | 1/((1+12%)^11) | 0.287476 | 4,312 |
| 12 | 15000 | 1/((1+12%)^12) | 0.256675 | 3,850 |
| 13 | 15000 | 1/((1+12%)^13) | 0.229174 | 3,438 |
| 14 | 15000 | 1/((1+12%)^14) | 0.204620 | 3,069 |
| 15 | 15000 | 1/((1+12%)^15) | 0.182696 | 2,740 |
| PV | 90,537 |