E7-38. Computing Present Values of Single Amounts and Annuities Refer to Tables 1 and 2 in Appendix A near the end of the book to compute the present value for each of the following amounts. a. $120,000 received 10 years hence if the annual interest rate is: 1. 10% compounded annually. 2. 10% compounded semiannually. b. $2,000 received at the end of each year for the next eight years discounted at 8% compounded annually. Module 7 Current and Long-Term Liabilities c. $800 received at the end of each six months for the next 15 years if the interest rate is 10% per year compounded semiannually. d. $250,000 received 10 years hence discounted at 10% per year compounded annually. Table 1 Present Value of Single Amount p= 1/(1+1 Period 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30 35 0.01 0.99010 0.98030 0.97059 0.96098 0.95147 0.94205 0.93272 0.92348 0.91434 0.90529 0.89632 0.88745 0.87866 0.86996 0.85135 0.85282 0.84438 0.83602 0.82774 0.81954 0.81143 0.80340 0.79544 0.78757 0.77977 0.74192 0.70591 0.67165 0.02 0.98039 0.96117 0.94232 0.92385 0.90573 0.88797 0.87056 0.85349 0.83676 0.82035 0.80426 0.78849 0.77303 0.75788 0.74301 0.72845 0.71416 0.70016 0.68643 0.67297 0.65978 0.64684 0.63416 0.62172 0.60953 0.55207 0.50003 0.45289 0.03 0.97087 0.94260 0.91514 0.88849 0.88261 0.83748 0.81309 0.78941 0.76642 0.74409 0.72242 0.70138 0.68095 0.66112 0.64186 0.62317 0.60502 0.58739 0.57029 0.55368 0.53755 0.52189 0.50669 0.49193 0.47761 0.41199 0.35538 0.30656 0.04 0.96154 0.92456 0.88900 0.85480 0.82193 0.79031 0.75992 0.73069 0.70259 0.67556 0.64958 0.62460 0.60057 0.57748 0.55526 0.53391 0.51337 0.49363 0.47464 0.45639 0.43883 0.42196 0.40573 0.39012 0.37512 0.30832 0.25342 0.20829 0.05 0.95238 0.90703 0.86384 0.82270 0.78353 0.74622 0.71068 0.67684 0.64461 0.61391 0.58468 0.55684 0.53032 0.50507 0.48102 0.45811 0.43630 0.41552 0.39573 0.37689 0.35894 0.34185 0.32557 0.31007 0.29530 0.23138 0.18129 0.14205 Interest Rate 0.06 0.07 0.94340 0.93458 0.89000 0.87344 0.83962 0.81630 0.79209 0.76290 0.74728 0.71299 0.70496 0.66834 0.66506 0.62275 0.62741 0.58201 0.59190 0.54393 0.55839 0.50835 0.52879 0.47509 0.49897 0.44401 0.46884 0.41496 0.44230 0.38782 0.41727 0.36245 0.39365 0.33873 0 37136 0.31657 0.35034 0.29586 0.33051 0.27651 0.31180 0.25842 0.29416 0.24151 0.27751 0.22571 0.26180 0.21095 0.24698 0.19715 0.23300 0.18425 0.17411 0.13137 0.13011 0.09366 0.09722 0.06678 0.08 0.92593 0.85734 0.79383 0.73503 0.68058 0.63017 0.58349 0.54027 0.50025 0.46319 0.42888 0.39711 0.36770 0.34046 0.31524 0.29189 0.27027 0.25025 0.23171 0.21455 0.19866 0.18394 0.17032 0.15770 0.14502 0.09938 0.06763 0.04603 0.09 0.91743 0.84168 0.77218 0.70843 0.64983 0.59627 0.54703 0.50187 0.46043 0.42241 0.38753 0.35553 0.32618 0.29925 0.27454 0.25187 0.23107 0.21199 0.19449 0.17843 0.16370 0.15018 0.13778 0.12640 0.11597 0.07537 0.04899 0.03184 0.10 0.90909 0.82645 0.75131 0.68301 0.62092 0.56447 0.51316 0.46651 0.42410 0.38554 0.35049 0.31853 0.28966 0.28333 0.23939 0.21763 0.19784 0.17986 0.16351 0.14864 0.13513 0.12285 0.11168 0.10153 0.09230 0.06731 0.03558 0.02209 0.11 0.90090 0.81162 0.73119 0.05873 0.59345 0.53464 0.48166 0.43393 0.39092 0.35218 0.31728 0.28584 0.25751 0.23199 0.20900 0.18829 0.16963 0.15282 0.13768 0.12403 0.11174 0.10067 0.09069 0.08170 0.07361 0.04368 0.02592 0.01538 0.12 0.89288 0.79719 0.71178 0.63552 0.58743 0.50663 0.45235 0.40388 0.36061 0.32197 0.26748 0.25668 0.22917 0.20462 0.18270 0.16312 0.14554 0.13004 0.11611 0.10357 0.09250 0.08284 0.07379 0.06588 0.05882 0.03338 0.01894 0.01075 40 -- 11/1 + ATV