Determine the present Value annuity payments(the same amount each year) of 500$ over a period of 8 years which will earn 6% during the period.
a.$5000
b.$2450
c.$2550
d.$3105
Ans. | Option D $3,105 | |||
Present value of cash inflow = Annual cash inflows * Present value of an annuity of 1 of 12% | ||||
$500 * 6.21 | ||||
$3,105 | ||||
*Calculation of Present value factor @ 6 %. | ||||
Year | PV @ 6% | |||
1 | 1 / (1 + 0.06)^1 | 0.94 | ||
2 | 1 / (1 + 0.06)^2 | 0.89 | ||
3 | 1 / (1 + 0.06)^3 | 0.84 | ||
4 | 1 / (1 + 0.06)^4 | 0.79 | ||
5 | 1 / (1 + 0.06)^5 | 0.75 | ||
6 | 1 / (1 + 0.06)^6 | 0.70 | ||
7 | 1 / (1 + 0.06)^7 | 0.67 | ||
8 | 1 / (1 + 0.06)^8 | 0.63 | ||
Total of Pv of an annuity | 6.21 | |||
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