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Determine the present value of $510,000 to be received in three years, using an

ID: 2512254 • Letter: D

Question

Determine the present value of $510,000 to be received in three years, using an interest rate of 7%, compounded annually.

EXHIBIT 8 Present Value of $1 at Compound Interest Periods 4% 412% 51%2% 62% 0.96154 0.956940 0.95238 0.94787 0.94340 0.93897 0.93458 0.90909 0.90090 0.89286 0.88496 0.92456 0.915730 0.90703 0.89845 0.89000 0.88166 0.87344 0.82645 0.81162 0.79719 0.78315 0.88900 0.876300 0.86384 0.85161 0.83962 0.82785 0.81630 0.75131 0.73119 0.71178 0.69305 0.85480 0.838560 0.82270 0.80722 0.79209 0.77732 0.76290 0.68301 0.65873 0.63552 0.61332 0.82193 0.802450 0.78353 0.76513 0.74726 0.72988 0.71299 0.62092 0.59345 0.56743 0.54276 0.79031 0.767900 0.74622 0.72525 0.70496 0.68533 0.66634 0.56447 0.53464 0.50663 0.48032 0.75992 0.734830 0.71068 0.68744 0.66506 0.64351 0.62275 0.51316 0.48166 0.45235 0.42506 0.73069 0.703190 0.67684 0.65160 0.62741 0.60423 0.58201 0.46651 0.43393 0.40388 0.37616 0.70259 0.672900 0.64461 0.61 763 0.59190 0.56735 0.54393 0.42410 0.39092 0.36061 0.33288 0.67556 0.643930 0.61391 0.58543 0.55839 0.53273 0.50835 0.38554 0.35218 0.32197 0.29459 596 6% 10% 11% 12% 13% 4 6 8 9 10

Explanation / Answer

Present value of inflows=cash inflow*Present value of discounting factor(rate%,time period)

=$510,000/1.07^3

=$510,000*0.81630

which is equal to

=$416313.

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