What is the present value of receiving $450 in 9 years if you expect a rate of return of 8% a year?
a.$1,351
b.$2,811
c.$900
d.$1,974
Ans. | Option b $2,811 | (rounded) | |||
Present value of cash inflow = Annual cash inflows * Present value of an annuity of 8 years | |||||
$450 * 6.24689 | |||||
2811.1005 | |||||
*Calculation of P V @ 8% | |||||
Year | P V @ 8% | ||||
1 | 1 / (1 + 0.08)^1 | 0.92593 | |||
2 | 1 / (1 + 0.08)^2 | 0.85734 | |||
3 | 1 / (1 + 0.08)^3 | 0.79383 | |||
4 | 1 / (1 + 0.08)^4 | 0.73503 | |||
5 | 1 / (1 + 0.08)^5 | 0.68058 | |||
6 | 1 / (1 + 0.08)^6 | 0.63017 | |||
7 | 1 / (1 + 0.08)^7 | 0.58349 | |||
8 | 1 / (1 + 0.08)^8 | 0.54027 | |||
9 | 1 / (1 + 0.08)^9 | 0.50025 | |||
Total of P v of an annuity | 6.24689 |
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