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 |