Question

In: Finance

Calvin just inherited an annuity that promises to pay $50,000 per year for 10 years, beginning...

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.

Solutions

Expert Solution

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

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