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Compound Interest Tables APPENDIX B 559 Values of Interest Factors When N Equals In±nity Single Payment: Uniform Payment Series: ( F y P , i , ) =∞ ( A y F , i , ) = 0 ( P y F , i , ) = 0( A y P , i , ) = i Arithmetic Gradient Series: ( F y A , i , ) ( A y G , i , ) = 1 y i ( P y A , i , ) = 1 y i ( P y G , i , ) = 1 y i 2 newn42040_appB.qxd 1/5/04 10:52 AM Page 559
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560 COMPOUND INTEREST TABLES 1 / 4 % Compound Interest Factors 1 / 4 % Single Payment Uniform Payment Series Arithmetic Gradient Compound Present Sinking Capital Compound Present Gradient Gradient Amount Worth Fund Recovery Amount Worth Uniform Present Factor Factor Factor Factor Factor Factor Series Worth Find F Find P Find A Find A Find F Find P Find A Find P Given P Given F Given F Given P Given A Given A Given G Given G nF / PP / FA / / PF / AP / AA / GP / Gn 1 1.003 .9975 1.0000 1.0025 1.000 0.998 0 0 1 2 1.005 .9950 .4994 .5019 2.003 1.993 0.504 1.005 2 3 1.008 .9925 .3325 .3350 3.008 2.985 1.005 2.999 3 4 1.010 .9901 .2491 .2516 4.015 3.975 1.501 5.966 4 5 1.013 .9876 .1990 .2015 5.025 4.963 1.998 9.916 5 6 1.015 .9851 .1656 .1681 6.038 5.948 2.498 14.861 6 7 1.018 .9827 .1418 .1443 7.053 6.931 2.995 20.755 7 8 1.020 .9802 .1239 .1264 8.070 7.911 3.490 27.611 8 9 1.023 .9778 .1100 .1125 9.091 8.889 3.987 35.440 9 10 1.025 .9753 .0989 .1014 10.113 9.864 4.483 44.216 10 11 1.028 .9729 .0898 .0923 11.139 10.837 4.978 53.950 12 1.030 .9705 .0822 .0847 12.167 11.807 5.474 64.634 12 13 1.033 .9681 .0758 .0783 13.197 12.775 5.968 76.244 13 14 1.036 .9656 .0703 .0728 14.230 13.741 6.464 88.826 14 15 1.038 .9632 .0655 .0680 15.266 14.704 6.957 102.301 15 16 1.041 .9608 .0613 .0638 16.304 15.665 7.451 116.716 16 17 1.043 .9584 .0577 .0602 17.344 16.624 7.944 132.063 17 18 1.046 .9561 .0544 .0569 18.388 17.580 8.437 148.319 18 19 1.049 .9537 .0515 .0540 19.434 18.533 8.929 165.492 19 20 1.051 .9513 .0488 .0513 20.482 19.485 9.421 183.559 20 21 1.054 .9489 .0464 .0489 21.534 20.434 9.912 202.531 21 22 1.056 .9465 .0443 .0468 22.587 21.380 10.404 222.435 22 23 1.059 .9442 .0423 .0448 23.644 22.324 10.894 243.212 23 24 1.062 .9418 .0405 .0430 24.703 23.266 11.384 264.854 24 25 1.064 .9395 .0388 .0413 25.765 24.206 11.874 287.407 25 26 1.067 .9371 .0373 .0398 26.829 25.143 12.363 310.848 26 27 1.070 .9348 .0358 .0383 27.896 26.078 12.852 335.150 27 28 1.072 .9325 .0345 .0370 28.966 27.010 13.341 360.343 28 29 1.075 .9301 .0333 .0358 30.038 27.940 13.828 386.366 29 30 1.078 .9278 .0321 .0346 31.114 28.868 14.317 413.302 30 36 1.094 .9140 .0266 .0291 37.621 34.387 17.234 592.632 36 40 1.105 .9049 .0238 .0263 42.014 38.020 19.171 728.882 40 48 1.127 .8871 .0196 .0221 50.932 45.179 23.025 1 040.22 48 50 1.133 .8826 .0188 .0213 53.189 46.947 23.984 1 125.96 50 52 1.139 .8782 .0180 .0205 55.458 48.705 24.941 1 214.76 52 60 1.162 .8609 .0155 .0180 64.647 55.653 28.755 1 600.31 60 70 1.191 .8396 .0131 .0156 76.395 64.144 33.485 2 147.87 70 72 1.197 .8355 .0127 .0152 78.780 65.817 34.426 2 265.81 72 80 1.221 .8189 .0113 .0138 88.440 72.427 38.173 2 764.74 80 84 1.233 .8108 .0107 .0132 93.343 75.682 40.037 3 030.06 84 90 1.252 .7987 .00992 .0124 100.789 80.504 42.820 3 447.19 90 96 1.271 .7869 .00923 .0117 108.349 85.255 45.588 3 886.62 96 100 1.284 .7790 .00881 .0113 113.451 88.383 47.425 4 191.60 100 104 1.297 .7713 .00843 .0109 118.605 91.480 49.256 4 505.93 104 120 1.349 .7411 .00716 .00966 139.743 103.563 56.512 5 852.52 120 240 1.821 .5492 .00305 .00555 328.306 180.312 107.590 19 399.75 240 360 2.457 .4070 .00172 .00422 582.745 237.191 152.894 36 264.96 360 480 3.315 .3016 .00108 .00358 926.074 279.343 192.673 53 821.93 480 newn42040_appB.qxd 1/5/04 10:52 AM Page 560
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COMPOUND INTEREST TABLES 561 1 / 2 % Compound Interest Factors 1 / 2 % Single Payment Uniform Payment Series Arithmetic Gradient Compound Present Sinking Capital Compound Present Gradient Gradient Amount Worth Fund Recovery Amount Worth Uniform Present Factor Factor Factor Factor Factor Factor Series Worth Find F Find P Find A Find A Find F Find P Find A Find P Given P Given F Given F Given P Given A Given A Given G Given G nF / PP / FA / / PF / AP / AA / GP / Gn 1 1.005 .9950 1.0000 1.0050 1.000 0.995 0 0 1 2 1.010 .9901 .4988 .5038 2.005 1.985 0.499 0.991 2 3 1.015 .9851 .3317 .3367 3.015 2.970 0.996 2.959 3 4 1.020 .9802 .2481 .2531 4.030 3.951 1.494 5.903 4 5 1.025 .9754 .1980 .2030 5.050 4.926 1.990 9.803 5 6 1.030 .9705 .1646 .1696 6.076 5.896 2.486 14.660 6 7 1.036 .9657 .1407 .1457 7.106 6.862 2.980 20.448 7 8 1.041 .9609 .1228 .1278 8.141 7.823 3.474 27.178 8 9 1.046 .9561 .1089 .1139 9.182 8.779 3.967 34.825 9 10 1.051 .9513 .0978 .1028 10.228 9.730 4.459 43.389 10 11 1.056 .9466 .0887 .0937 11.279 10.677 4.950 52.855 12 1.062 .9419 .0811 .0861 12.336 11.619 5.441 63.218 12 13 1.067 .9372 .0746 .0796 13.397 12.556 5.931 74.465 13 14 1.072 .9326 .0691 .0741 14.464 13.489 6.419 86.590 14 15 1.078 .9279 .0644 .0694 15.537 14.417 6.907 99.574 15 16 1.083 .9233 .0602 .0652 16.614 15.340 7.394 113.427 16 17 1.088 .9187 .0565 .0615 17.697 16.259 7.880 128.125 17 18 1.094 .9141 .0532 .0582 18.786 17.173 8.366 143.668 18 19 1.099 .9096 .0503 .0553 19.880 18.082 8.850 160.037 19 20 1.105 .9051 .0477 .0527 20.979 18.987 9.334 177.237 20 21 1.110 .9006 .0453 .0503 22.084 19.888 9.817 195.245 21 22 1.116 .8961 .0431 .0481 23.194 20.784 10.300 214.070 22 23 1.122 .8916 .0411 .0461 24.310 21.676 10.781 233.680 23 24 1.127 .8872 .0393 .0443 25.432 22.563 11.261 254.088 24 25 1.133 .8828 .0377 .0427 26.559 23.446 11.741 275.273 25 26 1.138 .8784 .0361 .0411 27.692 24.324 12.220 297.233 26 27 1.144 .8740 .0347 .0397 28.830 25.198 12.698 319.955 27 28 1.150 .8697 .0334 .0384 29.975 26.068 13.175 343.439 28 29 1.156 .8653 .0321 .0371 31.124 26.933 13.651 367.672 29 30 1.161 .8610 .0310 .0360 32.280 27.794 14.127 392.640 30 36 1.197 .8356 .0254 .0304 39.336 32.871 16.962 557.564 36 40 1.221 .8191 .0226 .0276 44.159 36.172 18.836 681.341 40 48 1.270 .7871 .0185 .0235 54.098 42.580 22.544 959.928 48 50 1.283 .7793 .0177 .0227 56.645 44.143 23.463 1 035.70 50 52 1.296 .7716 .0169 .0219 59.218 45.690 24.378 1 113.82 52 60 1.349 .7414 .0143 .0193 69.770 51.726 28.007 1 448.65 60 70 1.418 .7053 .0120 .0170 83.566 58.939 32.468 1 913.65 70 72 1.432 .6983 .0116 .0166 86.409 60.340 33.351 2 012.35 72 80 1.490 .6710 .0102 .0152 98.068 65.802 36.848 2 424.65
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This note was uploaded on 10/18/2009 for the course NFNSN GES2302 taught by Professor Inkla during the Spring '09 term at École Normale Supérieure.

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compound_interest_tables - newn42040_appB.qxd 10:52 AM Page...

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