Project Evaluation and Management - Time Value of Money
Single Payments (sum of F/P or P/F Factors)
What is the present worth of the given future payment? Solve and
express your answer using the factor
notation and the accumulated interest rate table (Picture
below).
$20,000 – 5 years from now at 9%, compounded annually →
9% 1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 52332 86388=22322982 21 24 27 30 31 35 40 45 50 55 60 65 70 75 80 85 90 95 100 Single Payment Compound Amount Factor Find F Given P F/P 1.090 1.188 1.295 1.412 1.539 1.677 1.828 1.993 2172 2.367 2.580 2.813 3.066 3.342 3.642 3.970 4.328 4.717 5.142 5.604 6.109 6.659 7.258 7.911 8.623 9.399 10.245 11.167 12.172 13.268 14.462 15.763 17.182 18.728 20.414 31.409 48.327 74.358 114.409 176.032 270.847 416.731 641.193 986.555 1517.9 2335.5 3 593.5 5529.1 Present Worth Factor Find P Given F P/F 9174 .8417 7722 .7084 .6499 5963 5470 5019 4604 4224 3875 3555 3262 2992 2745 2519 2311 2120 1945 1784 1637 1502 .1378 .1264 .1160 1064 0976 0895 0822 0754 .0691 .0634 .0582 .0534 .0490 .0318 .0207 0134 .00874 00568 .00369 00240 .00156 00101 00066 00043 .00028 .00018 Sinking Fund Factor Find A Given F A/F 1.0000 4785 3051 2187 .1671 1329 1087 0907 0768 .0658 0569 0497 0436 0384 0341 0303 0270 0242 .0217 .0195 0176 .0159 0144 .0130 .0118 0107 00973 .00885 .00806 00734 00669 .00610 .00556 .00508 00464 00296 .00190 .00123 .00079 .00051 .00033 00022 00014 .00009 00006 00004 00003 00002 Compound Interest Factors Uniform Payment Series Capital Compound Recovery Amount Factor Factor Find A Find F Given P Given A A/P F/A 1.0900 1.000 5685 2.090 3951 3.278 3087 4.573 2571 5.985 2229 7.523 -1987 9.200 .1807 11.028 .1668 13.021 1558 15.193 17.560 20.141 22.953 26.019 29.361 33.003 36.974 41.301 46.019 51.160 56.765 62.873 69.532 76.790 84.701 93.324 102.723 112.968 124.136 136.308 149.575 164.037 179.801 196.983 215.711 337.883 525.860 815.085 .1469 1397 1336 1284 1241 -1203 -1170 -1142 .1117 1095 1076 1059 1044 1030 1018 .1007 0997 0989 0981 0973 0967 0961 0956 .0951 0946 0930 0919 0912 0908 0905 0903 0902 0901 0901 0901 0900 0900 0900 1260,1 1944.8 2998.3 4619.2 7113.3 10950.6 16854,9 25939.3 39916.8 61422.9 Present Worth Factor Find P Given A P/A 0.917 1.759 2.531 3.240 3.890 4.486 5.033 5.535 5.995 6.418 6.805 7.161 7.487 7.786 8.061 8.313 8.544 8.756 8.950 9.129 9.292 9.442 9.580 9.707 9.823 9.929 10.027 10.116 10.198 10.274 10.343 10.406 10.464 10.518 10.567 10.757 10.881 10.962 11.014 11.048 11.070 11.084 11.094 11.100 11.104 11.106 11.108 11.109 9% Arithmetic Gradient Gradient Gradient Uniform Present Series Worth Find A Find P Given G Given G A/G P/G 0 0 0.478 0.842 0.943 2.386 1.393 4.511 1.828 7.111 2.250 10.092 2.657 13.375 3.051 16.888 3.431 20.571 3.798 24.373 4.151 28.248 4.491 32.159 4.818 36.073 5.133 39.963 5.435 43.807 5.724 47.585 16 6.002 51.282 17 6.269 54.886 18 6.524 58.387 19 6.767 61.777 20 7.001 65.051 21 7.223 68.205 22 7.436 71.236 23 7.638 74.143 24 7.832 76.927 25 8.016 79.586 26 8.191 82.124 27 8.357 84.542 28 8.515 86.842 29 8.666 89.028 30 8.808 91.102 31 8.944 93.069 32 9.072 94.931 33 9.193 96.693 34 9.308 98.359 35 9.796 105.376 40 10.160 110.556 45 10.430 114.325 50 10.626 117.036 55 10.768 118.968 60 10.870 120.334 65 10.943 121.294 70 10.994 121.965 75 11.030 122.431 80 11.055 122.753 85 11.073 122.976 90 11.085 123.129 95 11.093 123.233 100 1 2 3 4 5 6 7 8 9 10 11 12 13 15
Project Evaluation and Management - Time Value of Money Single Payments (sum of F/P or P/F Factors) What is the present
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Project Evaluation and Management - Time Value of Money Single Payments (sum of F/P or P/F Factors) What is the present
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