In: Finance
What is the present value of $1,200 per year, at a discount rate of 8 percent, if the first payment is received 9 years from now and the last payment is received 28 years from now?
| 8.00% | |||
| Year | Cash Flow | PV factor = 1/ (1+r)^t | PV |
| 0 | $ - | 1.000 | $ - |
| 1 | $ - | 0.926 | $ - |
| 2 | $ - | 0.857 | $ - |
| 3 | $ - | 0.794 | $ - |
| 4 | $ - | 0.735 | $ - |
| 5 | $ - | 0.681 | $ - |
| 6 | $ - | 0.630 | $ - |
| 7 | $ - | 0.583 | $ - |
| 8 | $ - | 0.540 | $ - |
| 9 | $ 1,200.00 | 0.500 | $ 600.30 |
| 10 | $ 1,200.00 | 0.463 | $ 555.83 |
| 11 | $ 1,200.00 | 0.429 | $ 514.66 |
| 12 | $ 1,200.00 | 0.397 | $ 476.54 |
| 13 | $ 1,200.00 | 0.368 | $ 441.24 |
| 14 | $ 1,200.00 | 0.340 | $ 408.55 |
| 15 | $ 1,200.00 | 0.315 | $ 378.29 |
| 16 | $ 1,200.00 | 0.292 | $ 350.27 |
| 17 | $ 1,200.00 | 0.270 | $ 324.32 |
| 18 | $ 1,200.00 | 0.250 | $ 300.30 |
| 19 | $ 1,200.00 | 0.232 | $ 278.05 |
| 20 | $ 1,200.00 | 0.215 | $ 257.46 |
| 21 | $ 1,200.00 | 0.199 | $ 238.39 |
| 22 | $ 1,200.00 | 0.184 | $ 220.73 |
| 23 | $ 1,200.00 | 0.170 | $ 204.38 |
| 24 | $ 1,200.00 | 0.158 | $ 189.24 |
| 25 | $ 1,200.00 | 0.146 | $ 175.22 |
| 26 | $ 1,200.00 | 0.135 | $ 162.24 |
| 27 | $ 1,200.00 | 0.125 | $ 150.22 |
| 28 | $ 1,200.00 | 0.116 | $ 139.10 |
| NPV | $ 6,365.33 |