Assume that you are going to receive $680,000 in 10 years. The current market rate of interest is 4%.

a. Using the present value of $1 table in Exhibit 5, determine the present value of this amount compounded annually. Round to the nearest whole dollar.

b. Why is the present value less than the $680,000 to be received in the future? The present value is less due to ______ over the 10 years.

Exhibit 5 Present Value of $1 at Compound Interest Periods 4% 47% 5% 572% 6% 672% 7% 10% 11% 12% 13% 1 0.96154 0.956940 0.95238 0.94787 0.94340 0.93897 0.93458 0.90909 0.90090 0.89286 0.88496 2 0.92456 0.915730 0.90703 0.89845 0.89000 0.88166 0.87344 0.82645 0.81162 0.79719 0.78315 3 0.88900 0.876300 0.86384 0.85161 0.83962 0.82785 0.81630 0.75131 0.73119 0.71178 0.69305 4 0.85480 0.838560 0.82270 0.80722 0.79209 0.77732 0.76290 0.68301 0.65873 0.63552 0.61332 5 0.82193 0.802450 0.78353 0.76513 0.74726 0.72988 0.71299 0.62092 0.59345 0.56743 0.54276 6 0.79031 0.767900 0.74622 0.72525 0.70496 0.68533 0.66634 0.56447 0.53464 0.50663 0.48032 7 0.75992 0.734830 0.71068 0.68744 0.66506 0.64351 0.62275 0.51316 0.48166 0.45235 0.42506 8 0.73069 0.703190 0.67684 0.65160 0.62741 0.60423 0.58201 0.46651 0.43393 0.40388 0.37616 9 0.70259 0.672900 0.64461 0.61763 0.59190 0.56735 0.54393 0.42410 0.39092 0.36061 0.33288 10 0.67556 0.643930 0.61391 0.58543 0.55839 0.53273 0.50835 0.38554 0.35218 0.32197 0.29459