Present Value of an Annuity Accounting numeric field Determine the present value of $120,000 to be received at the end of each of four years, using an interest rate of 5%, compounded annually, as follows: a. By successive computations, using the present value table in Exhibit 8. Round to the nearest whole dollar. First year 112,149 x Second Year 174,688 X Third Year 163,260 x Fourth Year 152,580 X Total present value 677,444 x b. By using the present value table in Exhibit 10. Round to the nearest whole dollar. 677,442 x c. Why is the present value of the four $120,000 cash receipts less than the $480,000 to be received in the future? The present value is less due to inflation X over the 4 years. Present Value of $1 at Compound Interest EXHIBIT 8 4% 0.96154 0.92456 0.88900 0.85480 12% 0.89286 0.79719 0.71178 Periods 1 2 3 4 5 6 7 8 9 10 0.82193 0.79031 0.75992 0.73069 0.70259 0.67556 472% 0.95694 0.91573 0.87630 0.83856 0.80245 0.76790 0.73483 0.70319 0.67290 0.64393 5% 0.95238 0.90703 0.86384 0.82270 0.78353 0.74622 0.71068 0.67684 0.64461 0.61391 572% 0.94787 0.89845 0.85161 0.80722 0.76513 0.72525 0.68744 0.65160 0.61763 0.58543 6% 0.94340 0.89000 0.83962 0.79209 0.74726 0.70496 0.66506 0.62741 0.59190 0.55839 67% 0.93897 0.88166 0.82785 0.77732 0.72988 0.68533 0.64351 0.60423 0.56735 0.53273 7% 0.93458 0.87344 0.81630 0.76290 0.71299 0.66634 0.62275 0.58201 0.54393 0.50835 10% 0.90909 0.82645 0.75131 0.68301 0.62092 0.56447 0.51316 0.46651 0.42410 0.38554 11% 0.90090 0.81162 0.73119 0.65873 0.59345 0.53464 0.48166 0.43393 0.39092 0.35218 0.63552 0.56743 0.50663 0.45235 0.40388 0.36061 0.32197 13% 0.88496 0.78315 0.69305 0.61332 0.54276 0.48032 0.42506 0.37616 0.33288 0.29459 EXHIBIT 10 Present Value of an Annuity of $1 at Compound Interest 4% 11% 12% 13% Periods 1 2 3 4 5 6 7 8 9 10 0.96154 1.88609 2.77509 3.62990 4.45182 5.24214 6.00205 6.73274 7.43533 8.11090 472% 0.95694 1.87267 2.74896 3.58753 4.38998 5.15787 5.89270 6.59589 7.26879 7.91272 5% 0.95238 1.85941 2.72325 3.54595 4.32948 5.07569 5.78637 6.46321 7.10782 7.72173 572% 0.94787 1.84632 2.69793 3.50515 4.27028 4.99553 5.68297 6.33457 6.95220 7.53763 6% 0.94340 1.83339 2.67301 3.46511 4.21236 4.91732 5.58238 6.20979 6.80169 7.36009 672% 0.93897 1.82063 2.64848 3.42580 4.15568 4.84101 5.48452 6.08875 6.65610 7.18883 7% 0.93458 1.80802 2.62432 3.38721 4.10020 4.76654 5.38929 5.97130 6.51523 7.02358 10% 0.90909 1.73554 2.48685 3.16987 3.79079 435526 4.86842 5.33493 5.75902 6.14457 0.90090 1.71252 2.44371 3.10245 3.69590 4.23054 4.71220 5.14612 5.53705 5.88923 0.89286 1.69005 2.40183 3.03735 3.60478 4.11141 4.56376 4.96764 5.32825 5.65022 0.88496 1.66810 2.36115 2.97447 3.51723 3.99755 4.42261 4.79677 5.13166 5.42624
