In: Finance
Calvin just inherited an annuity that promises to pay $50,000 per year for 10 years, beginning 15 years from today. Assuming a required rate of return of 10%, Calculate the present value of the annuity.
| Year | Annuity | PVF at 10% | Present values | |
| 1 | 0 | 0.909091 | 0 | |
| 2 | 0 | 0.826446 | 0 | |
| 3 | 0 | 0.751315 | 0 | |
| 4 | 0 | 0.683013 | 0 | |
| 5 | 0 | 0.620921 | 0 | |
| 6 | 0 | 0.564474 | 0 | |
| 7 | 0 | 0.513158 | 0 | |
| 8 | 0 | 0.466507 | 0 | |
| 9 | 0 | 0.424098 | 0 | |
| 10 | 0 | 0.385543 | 0 | |
| 11 | 0 | 0.350494 | 0 | |
| 12 | 0 | 0.318631 | 0 | |
| 13 | 0 | 0.289664 | 0 | |
| 14 | 0 | 0.263331 | 0 | |
| 15 | 50000 | 0.239392 | 11969.6 | |
| 16 | 50000 | 0.217629 | 10881.46 | |
| 17 | 50000 | 0.197845 | 9892.233 | |
| 18 | 50000 | 0.179859 | 8992.939 | |
| 19 | 50000 | 0.163508 | 8175.4 | |
| 20 | 50000 | 0.148644 | 7432.181 | |
| 21 | 50000 | 0.135131 | 6756.529 | |
| 22 | 50000 | 0.122846 | 6142.299 | |
| 23 | 50000 | 0.111678 | 5583.908 | |
| 24 | 50000 | 0.101526 | 5076.28 | |
| Present value of annuity | 80902.83 | |||
| Value of Annuity today = $ 80902.83 | ||||