In: Finance
33. Determine the net present value for a project that costs $286,000 and would yield after-tax cash flows of $21,000 per year for the first 13 years, $29,000 per year for the next 12 years, and $42,000 per year for the following 12 years. Your firm's cost of capital is 8.00%.
Year | Cash flow | PVIF@8% | Present value |
0 | $ (286,000) | 1.000 | $ (286,000) |
1 | $ 21,000 | 0.926 | $ 19,444 |
2 | $ 21,000 | 0.857 | $ 18,004 |
3 | $ 21,000 | 0.794 | $ 16,670 |
4 | $ 21,000 | 0.735 | $ 15,436 |
5 | $ 21,000 | 0.681 | $ 14,292 |
6 | $ 21,000 | 0.630 | $ 13,234 |
7 | $ 21,000 | 0.583 | $ 12,253 |
8 | $ 21,000 | 0.540 | $ 11,346 |
9 | $ 21,000 | 0.500 | $ 10,505 |
10 | $ 21,000 | 0.463 | $ 9,727 |
11 | $ 21,000 | 0.429 | $ 9,007 |
12 | $ 21,000 | 0.397 | $ 8,339 |
13 | $ 21,000 | 0.368 | $ 7,722 |
14 | $ 29,000 | 0.340 | $ 9,873 |
15 | $ 29,000 | 0.315 | $ 9,142 |
16 | $ 29,000 | 0.292 | $ 8,465 |
17 | $ 29,000 | 0.270 | $ 7,838 |
18 | $ 29,000 | 0.250 | $ 7,257 |
19 | $ 29,000 | 0.232 | $ 6,720 |
20 | $ 29,000 | 0.215 | $ 6,222 |
21 | $ 29,000 | 0.199 | $ 5,761 |
22 | $ 29,000 | 0.184 | $ 5,334 |
23 | $ 29,000 | 0.170 | $ 4,939 |
24 | $ 29,000 | 0.158 | $ 4,573 |
25 | $ 29,000 | 0.146 | $ 4,235 |
26 | $ 42,000 | 0.135 | $ 5,678 |
27 | $ 42,000 | 0.125 | $ 5,258 |
28 | $ 42,000 | 0.116 | $ 4,868 |
29 | $ 42,000 | 0.107 | $ 4,508 |
30 | $ 42,000 | 0.099 | $ 4,174 |
31 | $ 42,000 | 0.092 | $ 3,865 |
32 | $ 42,000 | 0.085 | $ 3,578 |
33 | $ 42,000 | 0.079 | $ 3,313 |
34 | $ 42,000 | 0.073 | $ 3,068 |
35 | $ 42,000 | 0.068 | $ 2,841 |
36 | $ 42,000 | 0.063 | $ 2,630 |
37 | $ 42,000 | 0.058 | $ 2,435 |
Net present value | $ 6,555 |