In: Finance
A 30 year project is estimated to cost $35 million and provide annual cash flows of $5 million per year in years 1-5; $4 million per year in years 6-20 and $2 million per year in years 21-30. If the company's required rate of return is 10%, determine the NPV.
| i | ii | iii=i*ii | |||
| Year | Cash flow in million | PVIF @ 10% | Present value | ||
| 0 | -35 | 1 | $ (35.00) | ||
| 1 | 5 | 0.909091 | $ 4.55 | ||
| 2 | 5 | 0.826446 | $ 4.13 | ||
| 3 | 5 | 0.751315 | $ 3.76 | ||
| 4 | 5 | 0.683013 | $ 3.42 | ||
| 5 | 5 | 0.620921 | $ 3.10 | ||
| 6 | 4 | 0.564474 | $ 2.26 | ||
| 7 | 4 | 0.513158 | $ 2.05 | ||
| 8 | 4 | 0.466507 | $ 1.87 | ||
| 9 | 4 | 0.424098 | $ 1.70 | ||
| 10 | 4 | 0.385543 | $ 1.54 | ||
| 11 | 4 | 0.350494 | $ 1.40 | ||
| 12 | 4 | 0.318631 | $ 1.27 | ||
| 13 | 4 | 0.289664 | $ 1.16 | ||
| 14 | 4 | 0.263331 | $ 1.05 | ||
| 15 | 4 | 0.239392 | $ 0.96 | ||
| 16 | 4 | 0.217629 | $ 0.87 | ||
| 17 | 4 | 0.197845 | $ 0.79 | ||
| 18 | 4 | 0.179859 | $ 0.72 | ||
| 19 | 4 | 0.163508 | $ 0.65 | ||
| 20 | 4 | 0.148644 | $ 0.59 | ||
| 21 | 2 | 0.135131 | $ 0.27 | ||
| 22 | 2 | 0.122846 | $ 0.25 | ||
| 23 | 2 | 0.111678 | $ 0.22 | ||
| 24 | 2 | 0.101526 | $ 0.20 | ||
| 25 | 2 | 0.092296 | $ 0.18 | ||
| 26 | 2 | 0.083905 | $ 0.17 | ||
| 27 | 2 | 0.076278 | $ 0.15 | ||
| 28 | 2 | 0.069343 | $ 0.14 | ||
| 29 | 2 | 0.063039 | $ 0.13 | ||
| 30 | 2 | 0.057309 | $ 0.11 | ||
| NPV = | $ 4.67 | ||||
| answer = | $ 4.67 | million | |||