In: Finance
What is the present value of $2,100 a year at a discount rate of 8 percent if the first payment is received 7 years from now and you receive a total of 23 annual payments?
As per below table present value of 2100$ every for 23 years starting from 7th year will be 13724.61$-
| Year | Annual Payment | PV Factor @8% | Present Value |
| 1 | 0 | 0.926 | - |
| 2 | 0 | 0.857 | - |
| 3 | 0 | 0.794 | - |
| 4 | 0 | 0.735 | - |
| 5 | 0 | 0.681 | - |
| 6 | 0 | 0.630 | - |
| 7 | 2100 | 0.583 | 1,225.33 |
| 8 | 2100 | 0.540 | 1,134.56 |
| 9 | 2100 | 0.500 | 1,050.52 |
| 10 | 2100 | 0.463 | 972.71 |
| 11 | 2100 | 0.429 | 900.65 |
| 12 | 2100 | 0.397 | 833.94 |
| 13 | 2100 | 0.368 | 772.17 |
| 14 | 2100 | 0.340 | 714.97 |
| 15 | 2100 | 0.315 | 662.01 |
| 16 | 2100 | 0.292 | 612.97 |
| 17 | 2100 | 0.270 | 567.56 |
| 18 | 2100 | 0.250 | 525.52 |
| 19 | 2100 | 0.232 | 486.60 |
| 20 | 2100 | 0.215 | 450.55 |
| 21 | 2100 | 0.199 | 417.18 |
| 22 | 2100 | 0.184 | 386.28 |
| 23 | 2100 | 0.170 | 357.66 |
| 24 | 2100 | 0.158 | 331.17 |
| 25 | 2100 | 0.146 | 306.64 |
| 26 | 2100 | 0.135 | 283.92 |
| 27 | 2100 | 0.125 | 262.89 |
| 28 | 2100 | 0.116 | 243.42 |
| 29 | 2100 | 0.107 | 225.39 |
| Total | 13,724.61 |