M HASYBI IZZADIN (E1G014049) LAPORAN PRAKTIKUM DAN KARYA TULIS FAKULTAS PERTANIAN (UNIB)

✐ ✐ ✐ ✐ APPENDIX C COMPOUND INTEREST TABLES Values of Interest Factors When n Equals Infinity Single Payment: Uniform Payment Series: (F/P, i, ∞) =∞ (A/F, i, ∞) = 0 (P/F, i, ∞) = 0 (A/P, i, ∞) = i Arithmetic Gradient Series: (F/A, i, ∞) =∞ (A/G, i, ∞) = 1/i (P/A, i, ∞) = 1/i (P/G, i, ∞) = 1/i 2 ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ 1 / 4 % Compound Interest Factors APPENDIX C: COMPOUND INTEREST TABLES 595 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 n F/P P/F A/F A/P F/A P/A A/G P/G n 1 1.003 .9975 1.0000 1.0025 1.000 0.998 0.000 0.000 1 2 1.005 .9950 .4994 .5019 2.003 1.993 0.499 0.995 2 3 1.008 .9925 .3325 .3350 3.008 2.985 0.998 2.980 3 4 1.010 .9901 .2491 .2516 4.015 3.975 1.497 5.950 4 5 1.013 .9876 .1990 .2015 5.025 4.963 1.995 9.901 5 6 1.015 .9851 .1656 .1681 6.038 5.948 2.493 14.826 6 7 1.018 .9827 .1418 .1443 7.053 6.931 2.990 20.722 7 8 1.020 .9802 .1239 .1264 8.070 7.911 3.487 27.584 8 9 1.023 .9778 .1100 .1125 9.091 8.889 3.983 35.406 9 10 1.025 .9753 .0989 .1014 10.113 9.864 4.479 44.184 10 11 1.028 .9729 .0898 .0923 11.139 10.837 4.975 53.913 11 12 1.030 .9705 .0822 .0847 12.167 11.807 5.470 64.589 12 13 1.033 .9681 .0758 .0783 13.197 12.775 5.965 76.205 13 14 1.036 .9656 .0703 .0728 14.230 13.741 6.459 88.759 14 15 1.038 .9632 .0655 .0680 15.266 14.704 6.953 102.244 15 16 1.041 .9608 .0613 .0638 16.304 15.665 7.447 116.657 16 17 1.043 .9584 .0577 .0602 17.344 16.624 7.944 131.992 17 18 1.046 .9561 .0544 .0569 18.388 17.580 8.433 148.245 18 19 1.049 .9537 .0515 .0540 19.434 18.533 8.925 165.411 19 20 1.051 .9513 .0488 .0513 20.482 19.485 9.417 183.485 20 21 1.054 .9489 .0464 .0489 21.534 20.434 9.908 202.463 21 22 1.056 .9465 .0443 .0468 22.587 21.380 10.400 222.341 22 23 1.059 .9442 .0423 .0448 23.644 22.324 10.890 243.113 23 24 1.062 .9418 .0405 .0430 24.703 23.266 11.380 264.775 24 25 1.064 .9395 .0388 .0413 25.765 24.206 11.870 287.323 25 26 1.067 .9371 .0373 .0398 26.829 25.143 12.360 310.752 26 27 1.070 .9348 .0358 .0383 27.896 26.078 12.849 335.057 27 28 1.072 .9325 .0345 .0370 28.966 27.010 13.337 360.233 28 29 1.075 .9301 .0333 .0358 30.038 27.940 13.825 386.278 29 30 1.078 .9278 .0321 .0346 31.114 28.868 14.313 413.185 30 36 1.094 .9140 .0266 .0291 37.621 34.387 17.231 592.499 36 40 1.105 .9049 .0238 .0263 42.014 38.020 19.167 728.740 40 48 1.127 .8871 .0196 .0221 50.932 45.179 23.021 1 040.055 48 50 1.133 .8826 .0188 .0213 53.189 46.947 23.980 1 125.777 50 52 1.139 .8782 .0180 .0205 55.458 48.705 24.938 1 214.588 52 60 1.162 .8609 .0155 .0180 64.647 55.653 28.751 1 600.085 60 70 1.191 .8396 .0131 .0156 76.395 64.144 33.481 2 147.611 70 72 1.197 .8355 .0127 .0152 78.780 65.817 34.422 2 265.557 72 80 1.221 .8189 .0113 .0138 88.440 72.427 38.169 2 764.457 80 84 1.233 .8108 .0107 .0132 93.343 75.682 40.033 3 029.759 84 90 1.252 .7987 .00992 .0124 100.789 80.504 42.816 3 446.870 90 96 1.271 .7869 .00923 .0117 108.349 85.255 45.584 3 886.283 96 100 1.284 .7790 .00881 .0113 113.451 88.383 47.422 4 191.242 100 104 1.297 .7713 .00843 .0109 118.605 91.480 49.252 4 505.557 104 120 1.349 .7411 .00716 .00966 139.743 103.563 56.508 5 852.112 120 240 1.821 .5492 .00305 .00555 328.306 180.312 107.586 19 398.985 240 360 2.457 .4070 .00172 .00422 582.745 237.191 152.890 36 263.930 360 480 3.315 .3016 .00108 .00358 926.074 279.343 192.670 53 820.752 480 1 / 4 % ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ 596 APPENDIX C: COMPOUND INTEREST TABLES 1 / 2 % Compound Interest Factors 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 n F/P P/F A/F A/P F/A P/A A/G P/G n 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 11 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 80 84 1.520 .6577 .00961 .0146 104.074 68.453 38.576 2 640.67 84 90 1.567 .6383 .00883 .0138 113.311 72.331 41.145 2 976.08 90 96 1.614 .6195 .00814 .0131 122.829 76.095 43.685 3 324.19 96 100 1.647 .6073 .00773 .0127 129.334 78.543 45.361 3 562.80 100 104 1.680 .5953 .00735 .0124 135.970 80.942 47.025 3 806.29 104 120 1.819 .5496 .00610 .0111 163.880 90.074 53.551 4 823.52 120 240 3.310 .3021 .00216 .00716 462.041 139.581 96.113 13 415.56 240 360 6.023 .1660 .00100 .00600 1 004.5 166.792 128.324 21 403.32 360 480 10.957 .0913 .00050 .00550 1 991.5 181.748 151.795 27 588.37 480 1 / 2 % ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ 3 / 4 % Compound Interest Factors APPENDIX C: COMPOUND INTEREST TABLES 597 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 n F/P P/F A/F A/P F/A P/A A/G P/G n 1 1.008 .9926 1.0000 1.0075 1.000 0.993 0 0 1 2 1.015 .9852 .4981 .5056 2.008 1.978 0.499 0.987 2 3 1.023 .9778 .3308 .3383 3.023 2.956 0.996 2.943 3 4 1.030 .9706 .2472 .2547 4.045 3.926 1.492 5.857 4 5 1.038 .9633 .1970 .2045 5.076 4.889 1.986 9.712 5 6 1.046 .9562 .1636 .1711 6.114 5.846 2.479 14.494 6 7 1.054 .9490 .1397 .1472 7.160 6.795 2.971 20.187 7 8 1.062 .9420 .1218 .1293 8.213 7.737 3.462 26.785 8 9 1.070 .9350 .1078 .1153 9.275 8.672 3.951 34.265 9 10 1.078 .9280 .0967 .1042 10.344 9.600 4.440 42.619 10 11 1.086 .9211 .0876 .0951 11.422 10.521 4.927 51.831 11 12 1.094 .9142 .0800 .0875 12.508 11.435 5.412 61.889 12 13 1.102 .9074 .0735 .0810 13.602 12.342 5.897 72.779 13 14 1.110 .9007 .0680 .0755 14.704 13.243 6.380 84.491 14 15 1.119 .8940 .0632 .0707 15.814 14.137 6.862 97.005 15 16 1.127 .8873 .0591 .0666 16.932 15.024 7.343 110.318 16 17 1.135 .8807 .0554 .0629 18.059 15.905 7.822 124.410 17 18 1.144 .8742 .0521 .0596 19.195 16.779 8.300 139.273 18 19 1.153 .8676 .0492 .0567 20.339 17.647 8.777 154.891 19 20 1.161 .8612 .0465 .0540 21.491 18.508 9.253 171.254 20 21 1.170 .8548 .0441 .0516 22.653 19.363 9.727 188.352 21 22 1.179 .8484 .0420 .0495 23.823 20.211 10.201 206.170 22 23 1.188 .8421 .0400 .0475 25.001 21.053 10.673 224.695 23 24 1.196 .8358 .0382 .0457 26.189 21.889 11.143 243.924 24 25 1.205 .8296 .0365 .0440 27.385 22.719 11.613 263.834 25 26 1.214 .8234 .0350 .0425 28.591 23.542 12.081 284.421 26 27 1.224 .8173 .0336 .0411 29.805 24.360 12.548 305.672 27 28 1.233 .8112 .0322 .0397 31.029 25.171 13.014 327.576 28 29 1.242 .8052 .0310 .0385 32.261 25.976 13.479 350.122 29 30 1.251 .7992 .0298 .0373 33.503 26.775 13.942 373.302 30 36 1.309 .7641 .0243 .0318 41.153 31.447 16.696 525.038 36 40 1.348 .7416 .0215 .0290 46.447 34.447 18.507 637.519 40 48 1.431 .6986 .0174 .0249 57.521 40.185 22.070 886.899 48 50 1.453 .6882 .0166 .0241 60.395 41.567 22.949 953.911 50 52 1.475 .6780 .0158 .0233 63.312 42.928 23.822 1 022.64 52 60 1.566 .6387 .0133 .0208 75.425 48.174 27.268 1 313.59 60 70 1.687 .5927 .0109 .0184 91.621 54.305 31.465 1 708.68 70 72 1.713 .5839 .0105 .0180 95.008 55.477 32.289 1 791.33 72 80 1.818 .5500 .00917 .0167 109.074 59.995 35.540 2 132.23 80 84 1.873 .5338 .00859 .0161 116.428 62.154 37.137 2 308.22 84 90 1.959 .5104 .00782 .0153 127.881 65.275 39.496 2 578.09 90 96 2.049 .4881 .00715 .0147 139.858 68.259 41.812 2 854.04 96 100 2.111 .4737 .00675 .0143 148.147 70.175 43.332 3 040.85 100 104 2.175 .4597 .00638 .0139 156.687 72.035 44.834 3 229.60 104 120 2.451 .4079 .00517 .0127 193.517 78.942 50.653 3 998.68 120 240 6.009 .1664 .00150 .00900 667.901 111.145 85.422 9 494.26 240 360 14.731 .0679 .00055 .00805 1 830.8 124.282 107.115 13 312.50 360 480 36.111 .0277 .00021 .00771 4 681.5 129.641 119.662 15 513.16 480 3 / 4 % ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ 598 APPENDIX C: COMPOUND INTEREST TABLES 1% Compound Interest Factors 1% 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 n F/P P/F A/F A/P F/A P/A A/G P/G n 1 1.010 .9901 1.0000 1.0100 1.000 0.990 0 0 1 2 1.020 .9803 .4975 .5075 2.010 1.970 0.498 0.980 2 3 1.030 .9706 .3300 .3400 3.030 2.941 0.993 2.921 3 4 1.041 .9610 .2463 .2563 4.060 3.902 1.488 5.804 4 5 1.051 .9515 .1960 .2060 5.101 4.853 1.980 9.610 5 6 1.062 .9420 .1625 .1725 6.152 5.795 2.471 14.320 6 7 1.072 .9327 .1386 .1486 7.214 6.728 2.960 19.917 7 8 1.083 .9235 .1207 .1307 8.286 7.652 3.448 26.381 8 9 1.094 .9143 .1067 .1167 9.369 8.566 3.934 33.695 9 10 1.105 .9053 .0956 .1056 10.462 9.471 4.418 41.843 10 11 1.116 .8963 .0865 .0965 11.567 10.368 4.900 50.806 11 12 1.127 .8874 .0788 .0888 12.682 11.255 5.381 60.568 12 13 1.138 .8787 .0724 .0824 13.809 12.134 5.861 71.112 13 14 1.149 .8700 .0669 .0769 14.947 13.004 6.338 82.422 14 15 1.161 .8613 .0621 .0721 16.097 13.865 6.814 94.481 15 16 1.173 .8528 .0579 .0679 17.258 14.718 7.289 107.273 16 17 1.184 .8444 .0543 .0643 18.430 15.562 7.761 120.783 17 18 1.196 .8360 .0510 .0610 19.615 16.398 8.232 134.995 18 19 1.208 .8277 .0481 .0581 20.811 17.226 8.702 149.895 19 20 1.220 .8195 .0454 .0554 22.019 18.046 9.169 165.465 20 21 1.232 .8114 .0430 .0530 23.239 18.857 9.635 181.694 21 22 1.245 .8034 .0409 .0509 24.472 19.660 10.100 198.565 22 23 1.257 .7954 .0389 .0489 25.716 20.456 10.563 216.065 23 24 1.270 .7876 .0371 .0471 26.973 21.243 11.024 234.179 24 25 1.282 .7798 .0354 .0454 28.243 22.023 11.483 252.892 25 26 1.295 .7720 .0339 .0439 29.526 22.795 11.941 272.195 26 27 1.308 .7644 .0324 .0424 30.821 23.560 12.397 292.069 27 28 1.321 .7568 .0311 .0411 32.129 24.316 12.852 312.504 28 29 1.335 .7493 .0299 .0399 33.450 25.066 13.304 333.486 29 30 1.348 .7419 .0287 .0387 34.785 25.808 13.756 355.001 30 36 1.431 .6989 .0232 .0332 43.077 30.107 16.428 494.620 36 40 1.489 .6717 .0205 .0305 48.886 32.835 18.178 596.854 40 48 1.612 .6203 .0163 .0263 61.223 37.974 21.598 820.144 48 50 1.645 .6080 .0155 .0255 64.463 39.196 22.436 879.417 50 52 1.678 .5961 .0148 .0248 67.769 40.394 23.269 939.916 52 60 1.817 .5504 .0122 .0222 81.670 44.955 26.533 1 192.80 60 70 2.007 .4983 .00993 .0199 100.676 50.168 30.470 1 528.64 70 72 2.047 .4885 .00955 .0196 104.710 51.150 31.239 1 597.86 72 80 2.217 .4511 .00822 .0182 121.671 54.888 34.249 1 879.87 80 84 2.307 .4335 .00765 .0177 130.672 56.648 35.717 2 023.31 84 90 2.449 .4084 .00690 .0169 144.863 59.161 37.872 2 240.56 90 96 2.599 .3847 .00625 .0163 159.927 61.528 39.973 2 459.42 96 100 2.705 .3697 .00587 .0159 170.481 63.029 41.343 2 605.77 100 104 2.815 .3553 .00551 .0155 181.464 64.471 42.688 2 752.17 104 120 3.300 .3030 .00435 .0143 230.039 69.701 47.835 3 334.11 120 240 10.893 .0918 .00101 .0110 989.254 90.819 75.739 6 878.59 240 360 35.950 .0278 .00029 .0103 3 495.097.218 89.699 8 720.43 360 480 118.648 .00843 .00008 .0101 11 764.899.157 95.920 9 511.15 480 ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ 1 1 / 4 APPENDIX C: COMPOUND INTEREST TABLES 599 % Compound Interest Factors 1 1 / 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 n F/P P/F A/F A/P F/A P/A A/G P/G n 1 1.013 .9877 1.0000 1.0125 1.000 0.988 0 0 1 2 1.025 .9755 .4969 .5094 2.013 1.963 0.497 0.976 2 3 1.038 .9634 .3292 .3417 3.038 2.927 0.992 2.904 3 4 1.051 .9515 .2454 .2579 4.076 3.878 1.485 5.759 4 5 1.064 .9398 .1951 .2076 5.127 4.818 1.976 9.518 5 6 1.077 .9282 .1615 .1740 6.191 5.746 2.464 14.160 6 7 1.091 .9167 .1376 .1501 7.268 6.663 2.951 19.660 7 8 1.104 .9054 .1196 .1321 8.359 7.568 3.435 25.998 8 9 1.118 .8942 .1057 .1182 9.463 8.462 3.918 33.152 9 10 1.132 .8832 .0945 .1070 10.582 9.346 4.398 41.101 10 11 1.146 .8723 .0854 .0979 11.714 10.218 4.876 49.825 11 12 1.161 .8615 .0778 .0903 12.860 11.079 5.352 59.302 12 13 1.175 .8509 .0713 .0838 14.021 11.930 5.827 69.513 13 14 1.190 .8404 .0658 .0783 15.196 12.771 6.299 80.438 14 15 1.205 .8300 .0610 .0735 16.386 13.601 6.769 92.058 15 16 1.220 .8197 .0568 .0693 17.591 14.420 7.237 104.355 16 17 1.235 .8096 .0532 .0657 18.811 15.230 7.702 117.309 17 18 1.251 .7996 .0499 .0624 20.046 16.030 8.166 130.903 18 19 1.266 .7898 .0470 .0595 21.297 16.849 8.628 145.119 19 20 1.282 .7800 .0443 .0568 22.563 17.599 9.088 159.940 20 21 1.298 .7704 .0419 .0544 23.845 18.370 9.545 175.348 21 22 1.314 .7609 .0398 .0523 25.143 19.131 10.001 191.327 22 23 1.331 .7515 .0378 .0503 26.458 19.882 10.455 207.859 23 24 1.347 .7422 .0360 .0485 27.788 20.624 10.906 224.930 24 25 1.364 .7330 .0343 .0468 29.136 21.357 11.355 242.523 25 26 1.381 .7240 .0328 .0453 30.500 22.081 11.803 260.623 26 27 1.399 .7150 .0314 .0439 31.881 22.796 12.248 279.215 27 28 1.416 .7062 .0300 .0425 32.280 23.503 12.691 298.284 28 29 1.434 .6975 .0288 .0413 34.696 24.200 13.133 317.814 29 30 1.452 .6889 .0277 .0402 36.129 24.889 13.572 337.792 30 36 1.564 .6394 .0222 .0347 45.116 28.847 16.164 466.297 36 40 1.644 .6084 .0194 .0319 51.490 31.327 17.852 559.247 40 48 1.845 .5509 .0153 .0278 65.229 35.932 21.130 759.248 48 50 1.861 .5373 .0145 .0270 68.882 37.013 21.930 811.692 50 52 1.908 .5242 .0138 .0263 72.628 38.068 22.722 864.960 52 60 2.107 .4746 .0113 .0238 88.575 42.035 25.809 1 084.86 60 70 2.386 .4191 .00902 .0215 110.873 46.470 29.492 1 370.47 70 72 2.446 .4088 .00864 .0211 115.675 47.293 30.205 1 428.48 72 80 2.701 .3702 .00735 .0198 136.120 50.387 32.983 1 661.89 80 84 2.839 .3522 .00680 .0193 147.130 51.822 34.326 1 778.86 84 90 3.059 .3269 .00607 .0186 164.706 53.846 36.286 1 953.85 90 96 3.296 .3034 .00545 .0179 183.643 55.725 38.180 2 127.55 96 100 3.463 .2887 .00507 .0176 197.074 56.901 39.406 2 242.26 100 104 3.640 .2747 .00474 .0172 211.190 58.021 40.604 2 355.90 104 120 4.440 .2252 .00363 .0161 275.220 61.983 45.119 2 796.59 120 240 19.716 .0507 .00067 .0132 1 497.375.942 67.177 5 101.55 240 360 87.543 .0114 .00014 .0126 6 923.479.086 75.840 5 997.91 360 480 388.713 .00257 .00003 .0125 31 017.179.794 78.762 6 284.74 480 4 % ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ 600 APPENDIX C: COMPOUND INTEREST TABLES 1 1 / 2 % Compound Interest Factors 1 1 / 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 n F/P P/F A/F A/P F/A P/A A/G P/G n 1 1.015 .9852 1.0000 1.0150 1.000 0.985 0 0 1 2 1.030 .9707 .4963 .5113 2.015 1.956 0.496 0.970 2 3 1.046 .9563 .3284 .3434 3.045 2.912 0.990 2.883 3 4 1.061 .9422 .2444 .2594 4.091 3.854 1.481 5.709 4 5 1.077 .9283 .1941 .2091 5.152 4.783 1.970 9.422 5 6 1.093 .9145 .1605 .1755 6.230 5.697 2.456 13.994 6 7 1.110 .9010 .1366 .1516 7.323 6.598 2.940 19.400 7 8 1.126 .8877 .1186 .1336 8.433 7.486 3.422 25.614 8 9 1.143 .8746 .1046 .1196 9.559 8.360 3.901 32.610 9 10 1.161 .8617 .0934 .1084 10.703 9.222 4.377 40.365 10 11 1.178 .8489 .0843 .0993 11.863 10.071 4.851 48.855 11 12 1.196 .8364 .0767 .0917 13.041 10.907 5.322 58.054 12 13 1.214 .8240 .0702 .0852 14.237 11.731 5.791 67.943 13 14 1.232 .8118 .0647 .0797 15.450 12.543 6.258 78.496 14 15 1.250 .7999 .0599 .0749 16.682 13.343 6.722 89.694 15 16 1.269 .7880 .0558 .0708 17.932 14.131 7.184 101.514 16 17 1.288 .7764 .0521 .0671 19.201 14.908 7.643 113.937 17 18 1.307 .7649 .0488 .0638 20.489 15.673 8.100 126.940 18 19 1.327 .7536 .0459 .0609 21.797 16.426 8.554 140.505 19 20 1.347 .7425 .0432 .0582 23.124 17.169 9.005 154.611 20 21 1.367 .7315 .0409 .0559 24.470 17.900 9.455 169.241 21 22 1.388 .7207 .0387 .0537 25.837 18.621 9.902 184.375 22 23 1.408 .7100 .0367 .0517 27.225 19.331 10.346 199.996 23 24 1.430 .6995 .0349 .0499 28.633 20.030 10.788 216.085 24 25 1.451 .6892 .0333 .0483 30.063 20.720 11.227 232.626 25 26 1.473 .6790 .0317 .0467 31.514 21.399 11.664 249.601 26 27 1.495 .6690 .0303 .0453 32.987 22.068 12.099 266.995 27 28 1.517 .6591 .0290 .0440 34.481 22.727 12.531 284.790 28 29 1.540 .6494 .0278 .0428 35.999 23.376 12.961 302.972 29 30 1.563 .6398 .0266 .0416 37.539 24.016 13.388 321.525 30 36 1.709 .5851 .0212 .0362 47.276 27.661 15.901 439.823 36 40 1.814 .5513 .0184 .0334 54.268 29.916 17.528 524.349 40 48 2.043 .4894 .0144 .0294 69.565 34.042 20.666 703.537 48 50 2.105 .4750 .0136 .0286 73.682 35.000 21.428 749.955 50 52 2.169 .4611 .0128 .0278 77.925 35.929 22.179 796.868 52 60 2.443 .4093 .0104 .0254 96.214 39.380 25.093 988.157 60 70 2.835 .3527 .00817 .0232 122.363 43.155 28.529 1 231.15 70 72 2.921 .3423 .00781 .0228 128.076 43.845 29.189 1 279.78 72 80 3.291 .3039 .00655 .0215 152.710 46.407 31.742 1 473.06 80 84 3.493 .2863 .00602 .0210 166.172 47.579 32.967 1 568.50 84 90 3.819 .2619 .00532 .0203 187.929 49.210 34.740 1 709.53 90 96 4.176 .2395 .00472 .0197 211.719 50.702 36.438 1 847.46 96 100 4.432 .2256 .00437 .0194 228.802 51.625 37.529 1 937.43 100 104 4.704 .2126 .00405 .0190 246.932 52.494 38.589 2 025.69 104 120 5.969 .1675 .00302 .0180 331.286 55.498 42.518 2 359.69 120 240 35.632 .0281 .00043 .0154 2 308.864.796 59.737 3 870.68 240 360 212.700 .00470 .00007 .0151 14 113.366.353 64.966 4 310.71 360 480 1 269.7 .00079 .00001 .0150 84 577.866.614 66.288 4 415.74 480 2 % ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ 1 3 / 4 APPENDIX C: COMPOUND INTEREST TABLES 601 % Compound Interest Factors 1 3 / 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 n F/P P/F A/F A/P F/A P/A A/G P/G n 1 1.018 .9828 1.0000 1.0175 1.000 0.983 0 0 1 2 1.035 .9659 .4957 .5132 2.018 1.949 0.496 0.966 2 3 1.053 .9493 .3276 .3451 3.053 2.898 0.989 2.865 3 4 1.072 .9330 .2435 .2610 4.106 3.831 1.478 5.664 4 5 1.091 .9169 .1931 .2106 5.178 4.748 1.965 9.332 5 6 1.110 .9011 .1595 .1770 6.269 5.649 2.450 13.837 6 7 1.129 .8856 .1355 .1530 7.378 6.535 2.931 19.152 7 8 1.149 .8704 .1175 .1350 8.508 7.405 3.409 25.245 8 9 1.169 .8554 .1036 .1211 9.656 8.261 3.885 32.088 9 10 1.189 .8407 .0924 .1099 10.825 9.101 4.357 39.655 10 11 1.210 .8263 .0832 .1007 12.015 9.928 4.827 47.918 11 12 1.231 .8121 .0756 .0931 13.225 10.740 5.294 56.851 12 13 1.253 .7981 .0692 .0867 14.457 11.538 5.758 66.428 13 14 1.275 .7844 .0637 .0812 15.710 12.322 6.219 76.625 14 15 1.297 .7709 .0589 .0764 16.985 13.093 6.677 87.417 15 16 1.320 .7576 .0547 .0722 18.282 13.851 7.132 98.782 16 17 1.343 .7446 .0510 .0685 19.602 14.595 7.584 110.695 17 18 1.367 .7318 .0477 .0652 20.945 15.327 8.034 123.136 18 19 1.390 .7192 .0448 .0623 22.311 16.046 8.481 136.081 19 20 1.415 .7068 .0422 .0597 23.702 16.753 8.924 149.511 20 21 1.440 .6947 .0398 .0573 25.116 17.448 9.365 163.405 21 22 1.465 .6827 .0377 .0552 26.556 18.130 9.804 177.742 22 23 1.490 .6710 .0357 .0532 28.021 18.801 10.239 192.503 23 24 1.516 .6594 .0339 .0514 29.511 19.461 10.671 207.671 24 25 1.543 .6481 .0322 .0497 31.028 20.109 11.101 223.225 25 26 1.570 .6369 .0307 .0482 32.571 20.746 11.528 239.149 26 27 1.597 .6260 .0293 .0468 34.141 21.372 11.952 255.425 27 28 1.625 .6152 .0280 .0455 35.738 21.987 12.373 272.036 28 29 1.654 .6046 .0268 .0443 37.363 22.592 12.791 288.967 29 30 1.683 .5942 .0256 .0431 39.017 23.186 13.206 306.200 30 36 1.867 .5355 .0202 .0377 49.566 26.543 15.640 415.130 36 40 2.002 .4996 .0175 .0350 57.234 28.594 17.207 492.017 40 48 2.300 .4349 .0135 .0310 74.263 32.294 20.209 652.612 48 50 2.381 .4200 .0127 .0302 78.903 33.141 20.932 693.708 50 52 2.465 .4057 .0119 .0294 83.706 33.960 21.644 735.039 52 60 2.832 .3531 .00955 .0271 104.676 36.964 24.389 901.503 60 70 3.368 .2969 .00739 .0249 135.331 40.178 27.586 1 108.34 70 72 3.487 .2868 .00704 .0245 142.127 40.757 28.195 1 149.12 72 80 4.006 .2496 .00582 .0233 171.795 42.880 30.533 1 309.25 80 84 4.294 .2329 .00531 .0228 188.246 43.836 31.644 1 387.16 84 90 4.765 .2098 .00465 .0221 215.166 45.152 33.241 1 500.88 90 96 5.288 .1891 .00408 .0216 245.039 46.337 34.756 1 610.48 96 100 5.668 .1764 .00375 .0212 266.753 47.062 35.721 1 681.09 100 104 6.075 .1646 .00345 .0209 290.028 47.737 36.652 1 749.68 104 120 8.019 .1247 .00249 .0200 401.099 50.017 40.047 2 003.03 120 240 64.308 .0156 .00028 .0178 3 617.656.254 53.352 3 001.27 240 360 515.702 .00194 .00003 .0175 29 411.557.032 56.443 3 219.08 360 480 4 135.5 .00024 .0175 236 259.057.129 57.027 3 257.88 480 4 % ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ 602 APPENDIX C: COMPOUND INTEREST TABLES 2% Compound Interest Factors 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 n F/P P/F A/F A/P F/A P/A A/G P/G n 1 1.020 .9804 1.0000 1.0200 1.000 0.980 0 0 1 2 1.040 .9612 .4951 .5151 2.020 1.942 0.495 0.961 2 3 1.061 .9423 .3268 .3468 3.060 2.884 0.987 2.846 3 4 1.082 .9238 .2426 .2626 4.122 3.808 1.475 5.617 4 5 1.104 .9057 .1922 .2122 5.204 4.713 1.960 9.240 5 6 1.126 .8880 .1585 .1785 6.308 5.601 2.442 13.679 6 7 1.149 .8706 .1345 .1545 7.434 6.472 2.921 18.903 7 8 1.172 .8535 .1165 .1365 8.583 7.325 3.396 24.877 8 9 1.195 .8368 .1025 .1225 9.755 8.162 3.868 31.571 9 10 1.219 .8203 .0913 .1113 10.950 8.983 4.337 38.954 10 11 1.243 .8043 .0822 .1022 12.169 9.787 4.802 46.996 11 12 1.268 .7885 .0746 .0946 13.412 10.575 5.264 55.669 12 13 1.294 .7730 .0681 .0881 14.680 11.348 5.723 64.946 13 14 1.319 .7579 .0626 .0826 15.974 12.106 6.178 74.798 14 15 1.346 .7430 .0578 .0778 17.293 12.849 6.631 85.200 15 16 1.373 .7284 .0537 .0737 18.639 13.578 7.080 96.127 16 17 1.400 .7142 .0500 .0700 20.012 14.292 7.526 107.553 17 18 1.428 .7002 .0467 .0667 21.412 14.992 7.968 119.456 18 19 1.457 .6864 .0438 .0638 22.840 15.678 8.407 131.812 19 20 1.486 .6730 .0412 .0612 24.297 16.351 8.843 144.598 20 21 1.516 .6598 .0388 .0588 25.783 17.011 9.276 157.793 21 22 1.546 .6468 .0366 .0566 27.299 17.658 9.705 171.377 22 23 1.577 .6342 .0347 .0547 28.845 18.292 10.132 185.328 23 24 1.608 .6217 .0329 .0529 30.422 18.914 10.555 199.628 24 25 1.641 .6095 .0312 .0512 32.030 19.523 10.974 214.256 25 26 1.673 .5976 .0297 .0497 33.671 20.121 11.391 229.196 26 27 1.707 .5859 .0283 .0483 35.344 20.707 11.804 244.428 27 28 1.741 .5744 .0270 .0470 37.051 21.281 12.214 259.936 28 29 1.776 .5631 .0258 .0458 38.792 21.844 12.621 275.703 29 30 1.811 .5521 .0247 .0447 40.568 22.396 13.025 291.713 30 36 2.040 .4902 .0192 .0392 51.994 25.489 15.381 392.036 36 40 2.208 .4529 .0166 .0366 60.402 27.355 16.888 461.989 40 48 2.587 .3865 .0126 .0326 79.353 30.673 19.755 605.961 48 50 2.692 .3715 .0118 .0318 84.579 31.424 20.442 642.355 50 52 2.800 .3571 .0111 .0311 90.016 32.145 21.116 678.779 52 60 3.281 .3048 .00877 .0288 114.051 34.761 23.696 823.692 60 70 4.000 .2500 .00667 .0267 149.977 37.499 26.663 999.829 70 72 4.161 .2403 .00633 .0263 158.056 37.984 27.223 1 034.050 72 80 4.875 .2051 .00516 .0252 193.771 39.744 29.357 1 166.781 80 84 5.277 .1895 .00468 .0247 213.865 40.525 30.361 1 230.413 84 90 5.943 .1683 .00405 .0240 247.155 41.587 31.793 1 322.164 90 96 6.693 .1494 .00351 .0235 284.645 42.529 33.137 1 409.291 96 100 7.245 .1380 .00320 .0232 312.230 43.098 33.986 1 464.747 100 104 7.842 .1275 .00292 .0229 342.090 43.624 34.799 1 518.082 104 120 10.765 .0929 .00205 .0220 488.255 45.355 37.711 1 710.411 120 240 115.887 .00863 .00017 .0202 5 744.449.569 47.911 2 374.878 240 360 1 247.5 .00080 .00002 .0200 62 326.849.960 49.711 2 483.567 360 480 13 429.8 .00007 .0200 671442.049.996 49.964 2 498.027 480 ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ 2 1 / 2 APPENDIX C: COMPOUND INTEREST TABLES 603 % Compound Interest Factors 2 1 / 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 n F/P P/F A/F A/P F/A P/A A/G P/G n 1 1.025 .9756 1.0000 1.0250 1.000 0.976 0 0 1 2 1.051 .9518 .4938 .5188 2.025 1.927 0.494 0.952 2 3 1.077 .9286 .3251 .3501 3.076 2.856 0.984 2.809 3 4 1.104 .9060 .2408 .2658 4.153 3.762 1.469 5.527 4 5 1.131 .8839 .1902 .2152 5.256 4.646 1.951 9.062 5 6 1.160 .8623 .1566 .1816 6.388 5.508 2.428 13.374 6 7 1.189 .8413 .1325 .1575 7.547 6.349 2.901 18.421 7 8 1.218 .8207 .1145 .1395 8.736 7.170 3.370 24.166 8 9 1.249 .8007 .1005 .1255 9.955 7.971 3.835 30.572 9 10 1.280 .7812 .0893 .1143 11.203 8.752 4.296 37.603 10 11 1.312 .7621 .0801 .1051 12.483 9.514 4.753 45.224 11 12 1.345 .7436 .0725 .0975 13.796 10.258 5.206 53.403 12 13 1.379 .7254 .0660 .0910 15.140 10.983 5.655 62.108 13 14 1.413 .7077 .0605 .0855 16.519 11.691 6.100 71.309 14 15 1.448 .6905 .0558 .0808 17.932 12.381 6.540 80.975 15 16 1.485 .6736 .0516 .0766 19.380 13.055 6.977 91.080 16 17 1.522 .6572 .0479 .0729 20.865 13.712 7.409 101.595 17 18 1.560 .6412 .0447 .0697 22.386 14.353 7.838 112.495 18 19 1.599 .6255 .0418 .0668 23.946 14.979 8.262 123.754 19 20 1.639 .6103 .0391 .0641 25.545 15.589 8.682 135.349 20 21 1.680 .5954 .0368 .0618 27.183 16.185 9.099 147.257 21 22 1.722 .5809 .0346 .0596 28.863 16.765 9.511 159.455 22 23 1.765 .5667 .0327 .0577 30.584 17.332 9.919 171.922 23 24 1.809 .5529 .0309 .0559 32.349 17.885 10.324 184.638 24 25 1.854 .5394 .0293 .0543 34.158 18.424 10.724 197.584 25 26 1.900 .5262 .0278 .0528 36.012 18.951 11.120 210.740 26 27 1.948 .5134 .0264 .0514 37.912 19.464 11.513 224.088 27 28 1.996 .5009 .0251 .0501 39.860 19.965 11.901 237.612 28 29 2.046 .4887 .0239 .0489 41.856 20.454 12.286 251.294 29 30 2.098 .4767 .0228 .0478 43.903 20.930 12.667 265.120 30 31 2.150 .4651 .0217 .0467 46.000 21.395 13.044 279.073 31 32 2.204 .4538 .0208 .0458 48.150 24.849 13.417 293.140 32 33 2.259 .4427 .0199 .0449 50.354 22.292 13.786 307.306 33 34 2.315 .4319 .0190 .0440 52.613 22.724 14.151 321.559 34 35 2.373 .4214 .0182 .0432 54.928 23.145 14.512 335.886 35 40 2.685 .3724 .0148 .0398 67.402 25.103 16.262 408.221 40 45 3.038 .3292 .0123 .0373 81.516 26.833 17.918 480.806 45 50 3.437 .2909 .0103 .0353 97.484 28.362 19.484 552.607 50 55 3.889 .2572 .00865 .0337 115.551 29.714 20.961 622.827 55 60 4.400 .2273 .00735 .0324 135.991 30.909 22.352 690.865 60 65 4.978 .2009 .00628 .0313 159.118 31.965 23.660 756.280 65 70 5.632 .1776 .00540 .0304 185.284 32.898 24.888 818.763 70 75 6.372 .1569 .00465 .0297 214.888 33.723 26.039 878.114 75 80 7.210 .1387 .00403 .0290 248.382 34.452 27.117 934.217 80 85 8.157 .1226 .00349 .0285 286.278 35.096 28.123 987.026 85 90 9.229 .1084 .00304 .0280 329.154 35.666 29.063 1 036.54 90 95 10.442 .0958 .00265 .0276 377.663 36.169 29.938 1 082.83 95 100 11.814 .0846 .00231 .0273 432.548 36.614 30.752 1 125.97 100 2 % ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ 604 APPENDIX C: COMPOUND INTEREST TABLES 3% Compound Interest Factors 3% 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 n F/P P/F A/F A/P F/A P/A A/G P/G n 1 1.030 .9709 1.0000 1.0300 1.000 0.971 0 0 1 2 1.061 .9426 .4926 .5226 2.030 1.913 0.493 0.943 2 3 1.093 .9151 .3235 .3535 3.091 2.829 0.980 2.773 3 4 1.126 .8885 .2390 .2690 4.184 3.717 1.463 5.438 4 5 1.159 .8626 .1884 .2184 5.309 4.580 1.941 8.889 5 6 1.194 .8375 .1546 .1846 6.468 5.417 2.414 13.076 6 7 1.230 .8131 .1305 .1605 7.662 6.230 2.882 17.955 7 8 1.267 .7894 .1125 .1425 8.892 7.020 3.345 23.481 8 9 1.305 .7664 .0984 .1284 10.159 7.786 3.803 29.612 9 10 1.344 .7441 .0872 .1172 11.464 8.530 4.256 36.309 10 11 1.384 .7224 .0781 .1081 12.808 9.253 4.705 43.533 11 12 1.426 .7014 .0705 .1005 14.192 9.954 5.148 51.248 12 13 1.469 .6810 .0640 .0940 15.618 10.635 5.587 59.419 13 14 1.513 .6611 .0585 .0885 17.086 11.296 6.021 68.014 14 15 1.558 .6419 .0538 .0838 18.599 11.938 6.450 77.000 15 16 1.605 .6232 .0496 .0796 20.157 12.561 6.874 86.348 16 17 1.653 .6050 .0460 .0760 21.762 13.166 7.294 96.028 17 18 1.702 .5874 .0427 .0727 23.414 13.754 7.708 106.014 18 19 1.754 .5703 .0398 .0698 25.117 14.324 8.118 116.279 19 20 1.806 .5537 .0372 .0672 26.870 14.877 8.523 126.799 20 21 1.860 .5375 .0349 .0649 28.676 15.415 8.923 137.549 21 22 1.916 .5219 .0327 .0627 30.537 15.937 9.319 148.509 22 23 1.974 .5067 .0308 .0608 32.453 16.444 9.709 159.656 23 24 2.033 .4919 .0290 .0590 34.426 16.936 10.095 170.971 24 25 2.094 .4776 .0274 .0574 36.459 17.413 10.477 182.433 25 26 2.157 .4637 .0259 .0559 38.553 17.877 10.853 194.026 26 27 2.221 .4502 .0246 .0546 40.710 18.327 11.226 205.731 27 28 2.288 .4371 .0233 .0533 42.931 18.764 11.593 217.532 28 29 2.357 .4243 .0221 .0521 45.219 19.188 11.956 229.413 29 30 2.427 .4120 .0210 .0510 47.575 19.600 12.314 241.361 30 31 2.500 .4000 .0200 .0500 50.003 20.000 12.668 253.361 31 32 2.575 .3883 .0190 .0490 52.503 20.389 13.017 265.399 32 33 2.652 .3770 .0182 .0482 55.078 20.766 13.362 277.464 33 34 2.732 .3660 .0173 .0473 57.730 21.132 13.702 289.544 34 35 2.814 .3554 .0165 .0465 60.462 21.487 14.037 301.627 35 40 3.262 .3066 .0133 .0433 75.401 23.115 15.650 361.750 40 45 3.782 .2644 .0108 .0408 92.720 24.519 17.156 420.632 45 50 4.384 .2281 .00887 .0389 112.797 25.730 18.558 477.480 50 55 5.082 .1968 .00735 .0373 136.072 26.774 19.860 531.741 55 60 5.892 .1697 .00613 .0361 163.053 27.676 21.067 583.052 60 65 6.830 .1464 .00515 .0351 194.333 28.453 22.184 631.201 65 70 7.918 .1263 .00434 .0343 230.594 29.123 23.215 676.087 70 75 9.179 .1089 .00367 .0337 272.631 29.702 24.163 717.698 75 80 10.641 .0940 .00311 .0331 321.363 30.201 25.035 756.086 80 85 12.336 .0811 .00265 .0326 377.857 30.631 25.835 791.353 85 90 14.300 .0699 .00226 .0323 443.349 31.002 26.567 823.630 90 95 16.578 .0603 .00193 .0319 519.272 31.323 27.235 853.074 95 100 19.219 .0520 .00165 .0316 607.287 31.599 27.844 879.854 100 ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ 3 1 / 2 APPENDIX C: COMPOUND INTEREST TABLES 605 % Compound Interest Factors 3 1 / 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 n F/P P/F A/F A/P F/A P/A A/G P/G n 1 1.035 .9662 1.0000 1.0350 1.000 0.966 0 0 1 2 1.071 .9335 .4914 .5264 2.035 1.900 0.491 0.933 2 3 1.109 .9019 .3219 .3569 3.106 2.802 0.977 2.737 3 4 1.148 .8714 .2373 .2723 4.215 3.673 1.457 5.352 4 5 1.188 .8420 .1865 .2215 5.362 4.515 1.931 8.719 5 6 1.229 .8135 .1527 .1877 6.550 5.329 2.400 12.787 6 7 1.272 .7860 .1285 .1635 7.779 6.115 2.862 17.503 7 8 1.317 .7594 .1105 .1455 9.052 6.874 3.320 22.819 8 9 1.363 .7337 .0964 .1314 10.368 7.608 3.771 28.688 9 10 1.411 .7089 .0852 .1202 11.731 8.317 4.217 35.069 10 11 1.460 .6849 .0761 .1111 13.142 9.002 4.657 41.918 11 12 1.511 .6618 .0685 .1035 14.602 9.663 5.091 49.198 12 13 1.564 .6394 .0621 .0971 16.113 10.303 5.520 56.871 13 14 1.619 .6178 .0566 .0916 17.677 10.921 5.943 64.902 14 15 1.675 .5969 .0518 .0868 19.296 11.517 6.361 73.258 15 16 1.734 .5767 .0477 .0827 20.971 12.094 6.773 81.909 16 17 1.795 .5572 .0440 .0790 22.705 12.651 7.179 90.824 17 18 1.857 .5384 .0408 .0758 24.500 13.190 7.580 99.976 18 19 1.922 .5202 .0379 .0729 26.357 13.710 7.975 109.339 19 20 1.990 .5026 .0354 .0704 28.280 14.212 8.365 118.888 20 21 2.059 .4856 .0330 .0680 30.269 14.698 8.749 128.599 21 22 2.132 .4692 .0309 .0659 32.329 15.167 9.128 138.451 22 23 2.206 .4533 .0290 .0640 34.460 15.620 9.502 148.423 23 24 2.283 .4380 .0273 .0623 36.666 16.058 9.870 158.496 24 25 2.363 .4231 .0257 .0607 38.950 16.482 10.233 168.652 25 26 2.446 .4088 .0242 .0592 41.313 16.890 10.590 178.873 26 27 2.532 .3950 .0229 .0579 43.759 17.285 10.942 189.143 27 28 2.620 .3817 .0216 .0566 46.291 17.667 11.289 199.448 28 29 2.712 .3687 .0204 .0554 48.911 18.036 11.631 209.773 29 30 2.807 .3563 .0194 .0544 51.623 18.392 11.967 220.105 30 31 2.905 .3442 .0184 .0534 54.429 18.736 12.299 230.432 31 32 3.007 .3326 .0174 .0524 57.334 19.069 12.625 240.742 32 33 3.112 .3213 .0166 .0516 60.341 19.390 12.946 251.025 33 34 3.221 .3105 .0158 .0508 63.453 19.701 13.262 261.271 34 35 3.334 .3000 .0150 .0500 66.674 20.001 13.573 271.470 35 40 3.959 .2526 .0118 .0468 84.550 21.355 15.055 321.490 40 45 4.702 .2127 .00945 .0445 105.781 22.495 16.417 369.307 45 50 5.585 .1791 .00763 .0426 130.998 23.456 17.666 414.369 50 55 6.633 .1508 .00621 .0412 160.946 24.264 18.808 456.352 55 60 7.878 .1269 .00509 .0401 196.516 24.945 19.848 495.104 60 65 9.357 .1069 .00419 .0392 238.762 25.518 20.793 530.598 65 70 11.113 .0900 .00346 .0385 288.937 26.000 21.650 562.895 70 75 13.199 .0758 .00287 .0379 348.529 26.407 22.423 592.121 75 80 15.676 .0638 .00238 .0374 419.305 26.749 23.120 618.438 80 85 18.618 .0537 .00199 .0370 503.365 27.037 23.747 642.036 85 90 22.112 .0452 .00166 .0367 603.202 27.279 24.308 663.118 90 95 26.262 .0381 .00139 .0364 721.778 27.483 24.811 681.890 95 100 31.191 .0321 .00116 .0362 862.608 27.655 25.259 698.554 100 2 % ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ 606 APPENDIX C: COMPOUND INTEREST TABLES 4% Compound Interest Factors 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 n F/P P/F A/F A/P F/A P/A A/G P/G n 1 1.040 .9615 1.0000 1.0400 1.000 0.962 0 0 1 2 1.082 .9246 .4902 .5302 2.040 1.886 0.490 0.925 2 3 1.125 .8890 .3203 .3603 3.122 2.775 0.974 2.702 3 4 1.170 .8548 .2355 .2755 4.246 3.630 1.451 5.267 4 5 1.217 .8219 .1846 .2246 5.416 4.452 1.922 8.555 5 6 1.265 .7903 .1508 .1908 6.633 5.242 2.386 12.506 6 7 1.316 .7599 .1266 .1666 7.898 6.002 2.843 17.066 7 8 1.369 .7307 .1085 .1485 9.214 6.733 3.294 22.180 8 9 1.423 .7026 .0945 .1345 10.583 7.435 3.739 27.801 9 10 1.480 .6756 .0833 .1233 12.006 8.111 4.177 33.881 10 11 1.539 .6496 .0741 .1141 13.486 8.760 4.609 40.377 11 12 1.601 .6246 .0666 .1066 15.026 9.385 5.034 47.248 12 13 1.665 .6006 .0601 .1001 16.627 9.986 5.453 54.454 13 14 1.732 .5775 .0547 .0947 18.292 10.563 5.866 61.962 14 15 1.801 .5553 .0499 .0899 20.024 11.118 6.272 69.735 15 16 1.873 .5339 .0458 .0858 21.825 11.652 6.672 77.744 16 17 1.948 .5134 .0422 .0822 23.697 12.166 7.066 85.958 17 18 2.026 .4936 .0390 .0790 25.645 12.659 7.453 94.350 18 19 2.107 .4746 .0361 .0761 27.671 13.134 7.834 102.893 19 20 2.191 .4564 .0336 .0736 29.778 13.590 8.209 111.564 20 21 2.279 .4388 .0313 .0713 31.969 14.029 8.578 120.341 21 22 2.370 .4220 .0292 .0692 34.248 14.451 8.941 129.202 22 23 2.465 .4057 .0273 .0673 36.618 14.857 9.297 138.128 23 24 2.563 .3901 .0256 .0656 39.083 15.247 9.648 147.101 24 25 2.666 .3751 .0240 .0640 41.646 15.622 9.993 156.104 25 26 2.772 .3607 .0226 .0626 44.312 15.983 10.331 165.121 26 27 2.883 .3468 .0212 .0612 47.084 16.330 10.664 174.138 27 28 2.999 .3335 .0200 .0600 49.968 16.663 10.991 183.142 28 29 3.119 .3207 .0189 .0589 52.966 16.984 11.312 192.120 29 30 3.243 .3083 .0178 .0578 56.085 17.292 11.627 201.062 30 31 3.373 .2965 .0169 .0569 59.328 17.588 11.937 209.955 31 32 3.508 .2851 .0159 .0559 62.701 17.874 12.241 218.792 32 33 3.648 .2741 .0151 .0551 66.209 18.148 12.540 227.563 33 34 3.794 .2636 .0143 .0543 69.858 18.411 12.832 236.260 34 35 3.946 .2534 .0136 .0536 73.652 18.665 13.120 244.876 35 40 4.801 .2083 .0105 .0505 95.025 19.793 14.476 286.530 40 45 5.841 .1712 .00826 .0483 121.029 20.720 15.705 325.402 45 50 7.107 .1407 .00655 .0466 152.667 21.482 16.812 361.163 50 55 8.646 .1157 .00523 .0452 191.159 22.109 17.807 393.689 55 60 10.520 .0951 .00420 .0442 237.990 22.623 18.697 422.996 60 65 12.799 .0781 .00339 .0434 294.968 23.047 19.491 449.201 65 70 15.572 .0642 .00275 .0427 364.290 23.395 20.196 472.479 70 75 18.945 .0528 .00223 .0422 448.630 23.680 20.821 493.041 75 80 23.050 .0434 .00181 .0418 551.244 23.915 21.372 511.116 80 85 28.044 .0357 .00148 .0415 676.089 24.109 21.857 526.938 85 90 34.119 .0293 .00121 .0412 827.981 24.267 22.283 540.737 90 95 41.511 .0241 .00099 .0410 1 012.824.398 22.655 552.730 95 100 50.505 .0198 .00081 .0408 1 237.624.505 22.980 563.125 100 ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ 4 1 / 2 APPENDIX C: COMPOUND INTEREST TABLES 607 % Compound Interest Factors 4 1 / 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 n F/P P/F A/F A/P F/A P/A A/G P/G n 1 1.045 .9569 1.0000 1.0450 1.000 0.957 0 0 1 2 1.092 .9157 .4890 .5340 2.045 1.873 0.489 0.916 2 3 1.141 .8763 .3188 .3638 3.137 2.749 0.971 2.668 3 4 1.193 .8386 .2337 .2787 4.278 3.588 1.445 5.184 4 5 1.246 .8025 .1828 .2278 5.471 4.390 1.912 8.394 5 6 1.302 .7679 .1489 .1939 6.717 5.158 2.372 12.233 6 7 1.361 .7348 .1247 .1697 8.019 5.893 2.824 16.642 7 8 1.422 .7032 .1066 .1516 9.380 6.596 3.269 21.564 8 9 1.486 .6729 .0926 .1376 10.802 7.269 3.707 26.948 9 10 1.553 .6439 .0814 .1264 12.288 7.913 4.138 32.743 10 11 1.623 .6162 .0722 .1172 13.841 8.529 4.562 38.905 11 12 1.696 .5897 .0647 .1097 15.464 9.119 4.978 45.391 12 13 1.772 .5643 .0583 .1033 17.160 9.683 5.387 52.163 13 14 1.852 .5400 .0528 .0978 18.932 10.223 5.789 59.182 14 15 1.935 .5167 .0481 .0931 20.784 10.740 6.184 66.416 15 16 2.022 .4945 .0440 .0890 22.719 11.234 6.572 73.833 16 17 2.113 .4732 .0404 .0854 24.742 11.707 6.953 81.404 17 18 2.208 .4528 .0372 .0822 26.855 12.160 7.327 89.102 18 19 2.308 .4333 .0344 .0794 29.064 12.593 7.695 96.901 19 20 2.412 .4146 .0319 .0769 31.371 13.008 8.055 104.779 20 21 2.520 .3968 .0296 .0746 33.783 13.405 8.409 112.715 21 22 2.634 .3797 .0275 .0725 36.303 13.784 8.755 120.689 22 23 2.752 .3634 .0257 .0707 38.937 14.148 9.096 128.682 23 24 2.876 .3477 .0240 .0690 41.689 14.495 9.429 136.680 24 25 3.005 .3327 .0224 .0674 44.565 14.828 9.756 144.665 25 26 3.141 .3184 .0210 .0660 47.571 15.147 10.077 152.625 26 27 3.282 .3047 .0197 .0647 50.711 15.451 10.391 160.547 27 28 3.430 .2916 .0185 .0635 53.993 15.743 10.698 168.420 28 29 3.584 .2790 .0174 .0624 57.423 16.022 10.999 176.232 29 30 3.745 .2670 .0164 .0614 61.007 16.289 11.295 183.975 30 31 3.914 .2555 .0154 .0604 64.752 16.544 11.583 191.640 31 32 4.090 .2445 .0146 .0596 68.666 16.789 11.866 199.220 32 33 4.274 .2340 .0137 .0587 72.756 17.023 12.143 206.707 33 34 4.466 .2239 .0130 .0580 77.030 17.247 12.414 214.095 34 35 4.667 .2143 .0123 .0573 81.497 17.461 12.679 221.380 35 40 5.816 .1719 .00934 .0543 107.030 18.402 13.917 256.098 40 45 7.248 .1380 .00720 .0522 138.850 19.156 15.020 287.732 45 50 9.033 .1107 .00560 .0506 178.503 19.762 15.998 316.145 50 55 11.256 .0888 .00439 .0494 227.918 20.248 16.860 341.375 55 60 14.027 .0713 .00345 .0485 289.497 20.638 17.617 363.571 60 65 17.481 .0572 .00273 .0477 366.237 20.951 18.278 382.946 65 70 21.784 .0459 .00217 .0472 461.869 21.202 18.854 399.750 70 75 27.147 .0368 .00172 .0467 581.043 21.404 19.354 414.242 75 80 33.830 .0296 .00137 .0464 729.556 21.565 19.785 426.680 80 85 42.158 .0237 .00109 .0461 914.630 21.695 20.157 437.309 85 90 52.537 .0190 .00087 .0459 1 145.321.799 20.476 446.359 90 95 65.471 .0153 .00070 .0457 1 432.721.883 20.749 454.039 95 100 81.588 .0123 .00056 .0456 1 790.921.950 20.981 460.537 100 2 % ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ 608 APPENDIX C: COMPOUND INTEREST TABLES 5% Compound Interest Factors 5% 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 n F/P P/F A/F A/P F/A P/A A/G P/G n 1 1.050 .9524 1.0000 1.0500 1.000 0.952 0 0 1 2 1.102 .9070 .4878 .5378 2.050 1.859 0.488 0.907 2 3 1.158 .8638 .3172 .3672 3.152 2.723 0.967 2.635 3 4 1.216 .8227 .2320 .2820 4.310 3.546 1.439 5.103 4 5 1.276 .7835 .1810 .2310 5.526 4.329 1.902 8.237 5 6 1.340 .7462 .1470 .1970 6.802 5.076 2.358 11.968 6 7 1.407 .7107 .1228 .1728 8.142 5.786 2.805 16.232 7 8 1.477 .6768 .1047 .1547 9.549 6.463 3.244 20.970 8 9 1.551 .6446 .0907 .1407 11.027 7.108 3.676 26.127 9 10 1.629 .6139 .0795 .1295 12.578 7.722 4.099 31.652 10 11 1.710 .5847 .0704 .1204 14.207 8.306 4.514 37.499 11 12 1.796 .5568 .0628 .1128 15.917 8.863 4.922 43.624 12 13 1.886 .5303 .0565 .1065 17.713 9.394 5.321 49.988 13 14 1.980 .5051 .0510 .1010 19.599 9.899 5.713 56.553 14 15 2.079 .4810 .0463 .0963 21.579 10.380 6.097 63.288 15 16 2.183 .4581 .0423 .0923 23.657 10.838 6.474 70.159 16 17 2.292 .4363 .0387 .0887 25.840 11.274 6.842 77.140 17 18 2.407 .4155 .0355 .0855 28.132 11.690 7.203 84.204 18 19 2.527 .3957 .0327 .0827 30.539 12.085 7.557 91.327 19 20 2.653 .3769 .0302 .0802 33.066 12.462 7.903 98.488 20 21 2.786 .3589 .0280 .0780 35.719 12.821 8.242 105.667 21 22 2.925 .3419 .0260 .0760 38.505 13.163 8.573 112.846 22 23 3.072 .3256 .0241 .0741 41.430 13.489 8.897 120.008 23 24 3.225 .3101 .0225 .0725 44.502 13.799 9.214 127.140 24 25 3.386 .2953 .0210 .0710 47.727 14.094 9.524 134.227 25 26 3.556 .2812 .0196 .0696 51.113 14.375 9.827 141.258 26 27 3.733 .2678 .0183 .0683 54.669 14.643 10.122 148.222 27 28 3.920 .2551 .0171 .0671 58.402 14.898 10.411 155.110 28 29 4.116 .2429 .0160 .0660 62.323 15.141 10.694 161.912 29 30 4.322 .2314 .0151 .0651 66.439 15.372 10.969 168.622 30 31 4.538 .2204 .0141 .0641 70.761 15.593 11.238 175.233 31 32 4.765 .2099 .0133 .0633 75.299 15.803 11.501 181.739 32 33 5.003 .1999 .0125 .0625 80.063 16.003 11.757 188.135 33 34 5.253 .1904 .0118 .0618 85.067 16.193 12.006 194.416 34 35 5.516 .1813 .0111 .0611 90.320 16.374 12.250 200.580 35 40 7.040 .1420 .00828 .0583 120.799 17.159 13.377 229.545 40 45 8.985 .1113 .00626 .0563 159.699 17.774 14.364 255.314 45 50 11.467 .0872 .00478 .0548 209.347 18.256 15.223 277.914 50 55 14.636 .0683 .00367 .0537 272.711 18.633 15.966 297.510 55 60 18.679 .0535 .00283 .0528 353.582 18.929 16.606 314.343 60 65 23.840 .0419 .00219 .0522 456.795 19.161 17.154 328.691 65 70 30.426 .0329 .00170 .0517 588.525 19.343 17.621 340.841 70 75 38.832 .0258 .00132 .0513 756.649 19.485 18.018 351.072 75 80 49.561 .0202 .00103 .0510 971.222 19.596 18.353 359.646 80 85 63.254 .0158 .00080 .0508 1 245.119.684 18.635 366.800 85 90 80.730 .0124 .00063 .0506 1 594.619.752 18.871 372.749 90 95 103.034 .00971 .00049 .0505 2 040.719.806 19.069 377.677 95 100 131.500 .00760 .00038 .0504 2 610.019.848 19.234 381.749 100 ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ APPENDIX C: COMPOUND INTEREST TABLES 609 6% Compound Interest Factors 6% 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 n F/P P/F A/F A/P F/A P/A A/G P/G n 1 1.060 .9434 1.0000 1.0600 1.000 0.943 0 0 1 2 1.124 .8900 .4854 .5454 2.060 1.833 0.485 0.890 2 3 1.191 .8396 .3141 .3741 3.184 2.673 0.961 2.569 3 4 1.262 .7921 .2286 .2886 4.375 3.465 1.427 4.945 4 5 1.338 .7473 .1774 .2374 5.637 4.212 1.884 7.934 5 6 1.419 .7050 .1434 .2034 6.975 4.917 2.330 11.459 6 7 1.504 .6651 .1191 .1791 8.394 5.582 2.768 15.450 7 8 1.594 .6274 .1010 .1610 9.897 6.210 3.195 19.841 8 9 1.689 .5919 .0870 .1470 11.491 6.802 3.613 24.577 9 10 1.791 .5584 .0759 .1359 13.181 7.360 4.022 29.602 10 11 1.898 .5268 .0668 .1268 14.972 7.887 4.421 34.870 11 12 2.012 .4970 .0593 .1193 16.870 8.384 4.811 40.337 12 13 2.133 .4688 .0530 .1130 18.882 8.853 5.192 45.963 13 14 2.261 .4423 .0476 .1076 21.015 9.295 5.564 51.713 14 15 2.397 .4173 .0430 .1030 23.276 9.712 5.926 57.554 15 16 2.540 .3936 .0390 .0990 25.672 10.106 6.279 63.459 16 17 2.693 .3714 .0354 .0954 28.213 10.477 6.624 69.401 17 18 2.854 .3503 .0324 .0924 30.906 10.828 6.960 75.357 18 19 3.026 .3305 .0296 .0896 33.760 11.158 7.287 81.306 19 20 3.207 .3118 .0272 .0872 36.786 11.470 7.605 87.230 20 21 3.400 .2942 .0250 .0850 39.993 11.764 7.915 93.113 21 22 3.604 .2775 .0230 .0830 43.392 12.042 8.217 98.941 22 23 3.820 .2618 .0213 .0813 46.996 12.303 8.510 104.700 23 24 4.049 .2470 .0197 .0797 50.815 12.550 8.795 110.381 24 25 4.292 .2330 .0182 .0782 54.864 12.783 9.072 115.973 25 26 4.549 .2198 .0169 .0769 59.156 13.003 9.341 121.468 26 27 4.822 .2074 .0157 .0757 63.706 13.211 9.603 126.860 27 28 5.112 .1956 .0146 .0746 68.528 13.406 9.857 132.142 28 29 5.418 .1846 .0136 .0736 73.640 13.591 10.103 137.309 29 30 5.743 .1741 .0126 .0726 79.058 13.765 10.342 142.359 30 31 6.088 .1643 .0118 .0718 84.801 13.929 10.574 147.286 31 32 6.453 .1550 .0110 .0710 90.890 14.084 10.799 152.090 32 33 6.841 .1462 .0103 .0703 97.343 14.230 11.017 156.768 33 34 7.251 .1379 .00960 .0696 104.184 14.368 11.228 161.319 34 35 7.686 .1301 .00897 .0690 111.435 14.498 11.432 165.743 35 40 10.286 .0972 .00646 .0665 154.762 15.046 12.359 185.957 40 45 13.765 .0727 .00470 .0647 212.743 15.456 13.141 203.109 45 50 18.420 .0543 .00344 .0634 290.335 15.762 13.796 217.457 50 55 24.650 .0406 .00254 .0625 394.171 15.991 14.341 229.322 55 60 32.988 .0303 .00188 .0619 533.126 16.161 14.791 239.043 60 65 44.145 .0227 .00139 .0614 719.080 16.289 15.160 246.945 65 70 59.076 .0169 .00103 .0610 967.928 16.385 15.461 253.327 70 75 79.057 .0126 .00077 .0608 1 300.916.456 15.706 258.453 75 80 105.796 .00945 .00057 .0606 1 746.616.509 15.903 262.549 80 85 141.578 .00706 .00043 .0604 2 343.016.549 16.062 265.810 85 90 189.464 .00528 .00032 .0603 3 141.116.579 16.189 268.395 90 95 253.545 .00394 .00024 .0602 4 209.116.601 16.290 270.437 95 100 339.300 .00295 .00018 .0602 5 638.316.618 16.371 272.047 100 ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ 610 APPENDIX C: COMPOUND INTEREST TABLES 7% Compound Interest Factors 7% 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 n F/P P/F A/F A/P F/A P/A A/G P/G n 1 1.070 .9346 1.0000 1.0700 1.000 0.935 0 0 1 2 1.145 .8734 .4831 .5531 2.070 1.808 0.483 0.873 2 3 1.225 .8163 .3111 .3811 3.215 2.624 0.955 2.506 3 4 1.311 .7629 .2252 .2952 4.440 3.387 1.416 4.795 4 5 1.403 .7130 .1739 .2439 5.751 4.100 1.865 7.647 5 6 1.501 .6663 .1398 .2098 7.153 4.767 2.303 10.978 6 7 1.606 .6227 .1156 .1856 8.654 5.389 2.730 14.715 7 8 1.718 .5820 .0975 .1675 10.260 5.971 3.147 18.789 8 9 1.838 .5439 .0835 .1535 11.978 6.515 3.552 23.140 9 10 1.967 .5083 .0724 .1424 13.816 7.024 3.946 27.716 10 11 2.105 .4751 .0634 .1334 15.784 7.499 4.330 32.467 11 12 2.252 .4440 .0559 .1259 17.888 7.943 4.703 37.351 12 13 2.410 .4150 .0497 .1197 20.141 8.358 5.065 42.330 13 14 2.579 .3878 .0443 .1143 22.551 8.745 5.417 47.372 14 15 2.759 .3624 .0398 .1098 25.129 9.108 5.758 52.446 15 16 2.952 .3387 .0359 .1059 27.888 9.447 6.090 57.527 16 17 3.159 .3166 .0324 .1024 30.840 9.763 6.411 62.592 17 18 3.380 .2959 .0294 .0994 33.999 10.059 6.722 67.622 18 19 3.617 .2765 .0268 .0968 37.379 10.336 7.024 72.599 19 20 3.870 .2584 .0244 .0944 40.996 10.594 7.316 77.509 20 21 4.141 .2415 .0223 .0923 44.865 10.836 7.599 82.339 21 22 4.430 .2257 .0204 .0904 49.006 11.061 7.872 87.079 22 23 4.741 .2109 .0187 .0887 53.436 11.272 8.137 91.720 23 24 5.072 .1971 .0172 .0872 58.177 11.469 8.392 96.255 24 25 5.427 .1842 .0158 .0858 63.249 11.654 8.639 100.677 25 26 5.807 .1722 .0146 .0846 68.677 11.826 8.877 104.981 26 27 6.214 .1609 .0134 .0834 74.484 11.987 9.107 109.166 27 28 6.649 .1504 .0124 .0824 80.698 12.137 9.329 113.227 28 29 7.114 .1406 .0114 .0814 87.347 12.278 9.543 117.162 29 30 7.612 .1314 .0106 .0806 94.461 12.409 9.749 120.972 30 31 8.145 .1228 .00980 .0798 102.073 12.532 9.947 124.655 31 32 8.715 .1147 .00907 .0791 110.218 12.647 10.138 128.212 32 33 9.325 .1072 .00841 .0784 118.934 12.754 10.322 131.644 33 34 9.978 .1002 .00780 .0778 128.259 12.854 10.499 134.951 34 35 10.677 .0937 .00723 .0772 138.237 12.948 10.669 138.135 35 40 14.974 .0668 .00501 .0750 199.636 13.332 11.423 152.293 40 45 21.002 .0476 .00350 .0735 285.750 13.606 12.036 163.756 45 50 29.457 .0339 .00246 .0725 406.530 13.801 12.529 172.905 50 55 41.315 .0242 .00174 .0717 575.930 13.940 12.921 180.124 55 60 57.947 .0173 .00123 .0712 813.523 14.039 13.232 185.768 60 65 81.273 .0123 .00087 .0709 1 146.814.110 13.476 190.145 65 70 113.990 .00877 .00062 .0706 1 614.114.160 13.666 193.519 70 75 159.877 .00625 .00044 .0704 2 269.714.196 13.814 196.104 75 80 224.235 .00446 .00031 .0703 3 189.114.222 13.927 198.075 80 85 314.502 .00318 .00022 .0702 4 478.614.240 14.015 199.572 85 90 441.105 .00227 .00016 .0702 6 287.214.253 14.081 200.704 90 95 618.673 .00162 .00011 .0701 8 823.914.263 14.132 201.558 95 100 867.720 .00115 .00008 .0701 12 381.714.269 14.170 202.200 100 ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ APPENDIX C: COMPOUND INTEREST TABLES 611 8% Compound Interest Factors 8% 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 n F/P P/F A/F A/P F/A P/A A/G P/G n 1 1.080 .9259 1.0000 1.0800 1.000 0.926 0 0 1 2 1.166 .8573 .4808 .5608 2.080 1.783 0.481 0.857 2 3 1.260 .7938 .3080 .3880 3.246 2.577 0.949 2.445 3 4 1.360 .7350 .2219 .3019 4.506 3.312 1.404 4.650 4 5 1.469 .6806 .1705 .2505 5.867 3.993 1.846 7.372 5 6 1.587 .6302 .1363 .2163 7.336 4.623 2.276 10.523 6 7 1.714 .5835 .1121 .1921 8.923 5.206 2.694 14.024 7 8 1.851 .5403 .0940 .1740 10.637 5.747 3.099 17.806 8 9 1.999 .5002 .0801 .1601 12.488 6.247 3.491 21.808 9 10 2.159 .4632 .0690 .1490 14.487 6.710 3.871 25.977 10 11 2.332 .4289 .0601 .1401 16.645 7.139 4.240 30.266 11 12 2.518 .3971 .0527 .1327 18.977 7.536 4.596 34.634 12 13 2.720 .3677 .0465 .1265 21.495 7.904 4.940 39.046 13 14 2.937 .3405 .0413 .1213 24.215 8.244 5.273 43.472 14 15 3.172 .3152 .0368 .1168 27.152 8.559 5.594 47.886 15 16 3.426 .2919 .0330 .1130 30.324 8.851 5.905 52.264 16 17 3.700 .2703 .0296 .1096 33.750 9.122 6.204 56.588 17 18 3.996 .2502 .0267 .1067 37.450 9.372 6.492 60.843 18 19 4.316 .2317 .0241 .1041 41.446 9.604 6.770 65.013 19 20 4.661 .2145 .0219 .1019 45.762 9.818 7.037 69.090 20 21 5.034 .1987 .0198 .0998 50.423 10.017 7.294 73.063 21 22 5.437 .1839 .0180 .0980 55.457 10.201 7.541 76.926 22 23 5.871 .1703 .0164 .0964 60.893 10.371 7.779 80.673 23 24 6.341 .1577 .0150 .0950 66.765 10.529 8.007 84.300 24 25 6.848 .1460 .0137 .0937 73.106 10.675 8.225 87.804 25 26 7.396 .1352 .0125 .0925 79.954 10.810 8.435 91.184 26 27 7.988 .1252 .0114 .0914 87.351 10.935 8.636 94.439 27 28 8.627 .1159 .0105 .0905 95.339 11.051 8.829 97.569 28 29 9.317 .1073 .00962 .0896 103.966 11.158 9.013 100.574 29 30 10.063 .0994 .00883 .0888 113.283 11.258 9.190 103.456 30 31 10.868 .0920 .00811 .0881 123.346 11.350 9.358 106.216 31 32 11.737 .0852 .00745 .0875 134.214 11.435 9.520 108.858 32 33 12.676 .0789 .00685 .0869 145.951 11.514 9.674 111.382 33 34 13.690 .0730 .00630 .0863 158.627 11.587 9.821 113.792 34 35 14.785 .0676 .00580 .0858 172.317 11.655 9.961 116.092 35 40 21.725 .0460 .00386 .0839 259.057 11.925 10.570 126.042 40 45 31.920 .0313 .00259 .0826 386.506 12.108 11.045 133.733 45 50 46.902 .0213 .00174 .0817 573.771 12.233 11.411 139.593 50 55 68.914 .0145 .00118 .0812 848.925 12.319 11.690 144.006 55 60 101.257 .00988 .00080 .0808 1 253.212.377 11.902 147.300 60 65 148.780 .00672 .00054 .0805 1 847.312.416 12.060 149.739 65 70 218.607 .00457 .00037 .0804 2 720.112.443 12.178 151.533 70 75 321.205 .00311 .00025 .0802 4 002.612.461 12.266 152.845 75 80 471.956 .00212 .00017 .0802 5 887.012.474 12.330 153.800 80 85 693.458 .00144 .00012 .0801 8 655.712.482 12.377 154.492 85 90 1 018.9 .00098 .00008 .0801 12 724.012.488 12.412 154.993 90 95 1 497.1 .00067 .00005 .0801 18 701.612.492 12.437 155.352 95 100 2 199.8 .00045 .00004 .0800 27 484.612.494 12.455 155.611 100 ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ 612 APPENDIX C: COMPOUND INTEREST TABLES 9% Compound Interest Factors 9% 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 n F/P P/F A/F A/P F/A P/A A/G P/G n 1 1.090 .9174 1.0000 1.0900 1.000 0.917 0 0 1 2 1.188 .8417 .4785 .5685 2.090 1.759 0.478 0.842 2 3 1.295 .7722 .3051 .3951 3.278 2.531 0.943 2.386 3 4 1.412 .7084 .2187 .3087 4.573 3.240 1.393 4.511 4 5 1.539 .6499 .1671 .2571 5.985 3.890 1.828 7.111 5 6 1.677 .5963 .1329 .2229 7.523 4.486 2.250 10.092 6 7 1.828 .5470 .1087 .1987 9.200 5.033 2.657 13.375 7 8 1.993 .5019 .0907 .1807 11.028 5.535 3.051 16.888 8 9 2.172 .4604 .0768 .1668 13.021 5.995 3.431 20.571 9 10 2.367 .4224 .0658 .1558 15.193 6.418 3.798 24.373 10 11 2.580 .3875 .0569 .1469 17.560 6.805 4.151 28.248 11 12 2.813 .3555 .0497 .1397 20.141 7.161 4.491 32.159 12 13 3.066 .3262 .0436 .1336 22.953 7.487 4.818 36.073 13 14 3.342 .2992 .0384 .1284 26.019 7.786 5.133 39.963 14 15 3.642 .2745 .0341 .1241 29.361 8.061 5.435 43.807 15 16 3.970 .2519 .0303 .1203 33.003 8.313 5.724 47.585 16 17 4.328 .2311 .0270 .1170 36.974 8.544 6.002 51.282 17 18 4.717 .2120 .0242 .1142 41.301 8.756 6.269 54.886 18 19 5.142 .1945 .0217 .1117 46.019 8.950 6.524 58.387 19 20 5.604 .1784 .0195 .1095 51.160 9.129 6.767 61.777 20 21 6.109 .1637 .0176 .1076 56.765 9.292 7.001 65.051 21 22 6.659 .1502 .0159 .1059 62.873 9.442 7.223 68.205 22 23 7.258 .1378 .0144 .1044 69.532 9.580 7.436 71.236 23 24 7.911 .1264 .0130 .1030 76.790 9.707 7.638 74.143 24 25 8.623 .1160 .0118 .1018 84.701 9.823 7.832 76.927 25 26 9.399 .1064 .0107 .1007 93.324 9.929 8.016 79.586 26 27 10.245 .0976 .00973 .0997 102.723 10.027 8.191 82.124 27 28 11.167 .0895 .00885 .0989 112.968 10.116 8.357 84.542 28 29 12.172 .0822 .00806 .0981 124.136 10.198 8.515 86.842 29 30 13.268 .0754 .00734 .0973 136.308 10.274 8.666 89.028 30 31 14.462 .0691 .00669 .0967 149.575 10.343 8.808 91.102 31 32 15.763 .0634 .00610 .0961 164.037 10.406 8.944 93.069 32 33 17.182 .0582 .00556 .0956 179.801 10.464 9.072 94.931 33 34 18.728 .0534 .00508 .0951 196.983 10.518 9.193 96.693 34 35 20.414 .0490 .00464 .0946 215.711 10.567 9.308 98.359 35 40 31.409 .0318 .00296 .0930 337.883 10.757 9.796 105.376 40 45 48.327 .0207 .00190 .0919 525.860 10.881 10.160 110.556 45 50 74.358 .0134 .00123 .0912 815.085 10.962 10.430 114.325 50 55 114.409 .00874 .00079 .0908 1 260.111.014 10.626 117.036 55 60 176.032 .00568 .00051 .0905 1 944.811.048 10.768 118.968 60 65 270.847 .00369 .00033 .0903 2 998.311.070 10.870 120.334 65 70 416.731 .00240 .00022 .0902 4 619.211.084 10.943 121.294 70 75 641.193 .00156 .00014 .0901 7 113.311.094 10.994 121.965 75 80 986.555 .00101 .00009 .0901 10 950.611.100 11.030 122.431 80 85 1 517.9 .00066 .00006 .0901 16 854.911.104 11.055 122.753 85 90 2 335.5 .00043 .00004 .0900 25 939.311.106 11.073 122.976 90 95 3 593.5 .00028 .00003 .0900 39 916.811.108 11.085 123.129 95 100 5 529.1 .00018 .00002 .0900 61 422.911.109 11.093 123.233 100 ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ APPENDIX C: COMPOUND INTEREST TABLES 613 10% Compound Interest Factors 10% 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 n F/P P/F A/F A/P F/A P/A A/G P/G n 1 1.100 .9091 1.0000 1.1000 1.000 0.909 0 0 1 2 1.210 .8264 .4762 .5762 2.100 1.736 0.476 0.826 2 3 1.331 .7513 .3021 .4021 3.310 2.487 0.937 2.329 3 4 1.464 .6830 .2155 .3155 4.641 3.170 1.381 4.378 4 5 1.611 .6209 .1638 .2638 6.105 3.791 1.810 6.862 5 6 1.772 .5645 .1296 .2296 7.716 4.355 2.224 9.684 6 7 1.949 .5132 .1054 .2054 9.487 4.868 2.622 12.763 7 8 2.144 .4665 .0874 .1874 11.436 5.335 3.004 16.029 8 9 2.358 .4241 .0736 .1736 13.579 5.759 3.372 19.421 9 10 2.594 .3855 .0627 .1627 15.937 6.145 3.725 22.891 10 11 2.853 .3505 .0540 .1540 18.531 6.495 4.064 26.396 11 12 3.138 .3186 .0468 .1468 21.384 6.814 4.388 29.901 12 13 3.452 .2897 .0408 .1408 24.523 7.103 4.699 33.377 13 14 3.797 .2633 .0357 .1357 27.975 7.367 4.996 36.801 14 15 4.177 .2394 .0315 .1315 31.772 7.606 5.279 40.152 15 16 4.595 .2176 .0278 .1278 35.950 7.824 5.549 43.416 16 17 5.054 .1978 .0247 .1247 40.545 8.022 5.807 46.582 17 18 5.560 .1799 .0219 .1219 45.599 8.201 6.053 49.640 18 19 6.116 .1635 .0195 .1195 51.159 8.365 6.286 52.583 19 20 6.728 .1486 .0175 .1175 57.275 8.514 6.508 55.407 20 21 7.400 .1351 .0156 .1156 64.003 8.649 6.719 58.110 21 22 8.140 .1228 .0140 .1140 71.403 8.772 6.919 60.689 22 23 8.954 .1117 .0126 .1126 79.543 8.883 7.108 63.146 23 24 9.850 .1015 .0113 .1113 88.497 8.985 7.288 65.481 24 25 10.835 .0923 .0102 .1102 98.347 9.077 7.458 67.696 25 26 11.918 .0839 .00916 .1092 109.182 9.161 7.619 69.794 26 27 13.110 .0763 .00826 .1083 121.100 9.237 7.770 71.777 27 28 14.421 .0693 .00745 .1075 134.210 9.307 7.914 73.650 28 29 15.863 .0630 .00673 .1067 148.631 9.370 8.049 75.415 29 30 17.449 .0573 .00608 .1061 164.494 9.427 8.176 77.077 30 31 19.194 .0521 .00550 .1055 181.944 9.479 8.296 78.640 31 32 21.114 .0474 .00497 .1050 201.138 9.526 8.409 80.108 32 33 23.225 .0431 .00450 .1045 222.252 9.569 8.515 81.486 33 34 25.548 .0391 .00407 .1041 245.477 9.609 8.615 82.777 34 35 28.102 .0356 .00369 .1037 271.025 9.644 8.709 83.987 35 40 45.259 .0221 .00226 .1023 442.593 9.779 9.096 88.953 40 45 72.891 .0137 .00139 .1014 718.905 9.863 9.374 92.454 45 50 117.391 .00852 .00086 .1009 1 163.99.915 9.570 94.889 50 55 189.059 .00529 .00053 .1005 1 880.69.947 9.708 96.562 55 60 304.482 .00328 .00033 .1003 3 034.89.967 9.802 97.701 60 65 490.371 .00204 .00020 .1002 4 893.79.980 9.867 98.471 65 70 789.748 .00127 .00013 .1001 7 887.59.987 9.911 98.987 70 75 1 271.9 .00079 .00008 .1001 12 709.09.992 9.941 99.332 75 80 2 048.4 .00049 .00005 .1000 20 474.09.995 9.961 99.561 80 85 3 299.0 .00030 .00003 .1000 32 979.79.997 9.974 99.712 85 90 5 313.0 .00019 .00002 .1000 53 120.39.998 9.983 99.812 90 95 8 556.7 .00012 .00001 .1000 85 556.99.999 9.989 99.877 95 100 13780.6 .00007 .00001 .1000 137 796.39.999 9.993 99.920 100 ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ 614 APPENDIX C: COMPOUND INTEREST TABLES 12% Compound Interest Factors 12% 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 n F/P P/F A/F A/P F/A P/A A/G P/G n 1 1.120 .8929 1.0000 1.1200 1.000 0.893 0 0 1 2 1.254 .7972 .4717 .5917 2.120 1.690 0.472 0.797 2 3 1.405 .7118 .2963 .4163 3.374 2.402 0.925 2.221 3 4 1.574 .6355 .2092 .3292 4.779 3.037 1.359 4.127 4 5 1.762 .5674 .1574 .2774 6.353 3.605 1.775 6.397 5 6 1.974 .5066 .1232 .2432 8.115 4.111 2.172 8.930 6 7 2.211 .4523 .0991 .2191 10.089 4.564 2.551 11.644 7 8 2.476 .4039 .0813 .2013 12.300 4.968 2.913 14.471 8 9 2.773 .3606 .0677 .1877 14.776 5.328 3.257 17.356 9 10 3.106 .3220 .0570 .1770 17.549 5.650 3.585 20.254 10 11 3.479 .2875 .0484 .1684 20.655 5.938 3.895 23.129 11 12 3.896 .2567 .0414 .1614 24.133 6.194 4.190 25.952 12 13 4.363 .2292 .0357 .1557 28.029 6.424 4.468 28.702 13 14 4.887 .2046 .0309 .1509 32.393 6.628 4.732 31.362 14 15 5.474 .1827 .0268 .1468 37.280 6.811 4.980 33.920 15 16 6.130 .1631 .0234 .1434 42.753 6.974 5.215 36.367 16 17 6.866 .1456 .0205 .1405 48.884 7.120 5.435 38.697 17 18 7.690 .1300 .0179 .1379 55.750 7.250 5.643 40.908 18 19 8.613 .1161 .0158 .1358 63.440 7.366 5.838 42.998 19 20 9.646 .1037 .0139 .1339 72.052 7.469 6.020 44.968 20 21 10.804 .0926 .0122 .1322 81.699 7.562 6.191 46.819 21 22 12.100 .0826 .0108 .1308 92.503 7.645 6.351 48.554 22 23 13.552 .0738 .00956 .1296 104.603 7.718 6.501 50.178 23 24 15.179 .0659 .00846 .1285 118.155 7.784 6.641 51.693 24 25 17.000 .0588 .00750 .1275 133.334 7.843 6.771 53.105 25 26 19.040 .0525 .00665 .1267 150.334 7.896 6.892 54.418 26 27 21.325 .0469 .00590 .1259 169.374 7.943 7.005 55.637 27 28 23.884 .0419 .00524 .1252 190.699 7.984 7.110 56.767 28 29 26.750 .0374 .00466 .1247 214.583 8.022 7.207 57.814 29 30 29.960 .0334 .00414 .1241 241.333 8.055 7.297 58.782 30 31 33.555 .0298 .00369 .1237 271.293 8.085 7.381 59.676 31 32 37.582 .0266 .00328 .1233 304.848 8.112 7.459 60.501 32 33 42.092 .0238 .00292 .1229 342.429 8.135 7.530 61.261 33 34 47.143 .0212 .00260 .1226 384.521 8.157 7.596 61.961 34 35 52.800 .0189 .00232 .1223 431.663 8.176 7.658 62.605 35 40 93.051 .0107 .00130 .1213 767.091 8.244 7.899 65.116 40 45 163.988 .00610 .00074 .1207 1 358.28.283 8.057 66.734 45 50 289.002 .00346 .00042 .1204 2 400.08.304 8.160 67.762 50 55 509.321 .00196 .00024 .1202 4 236.08.317 8.225 68.408 55 60 897.597 .00111 .00013 .1201 7 471.68.324 8.266 68.810 60 65 1 581.9 .00063 .00008 .1201 13 173.98.328 8.292 69.058 65 70 2 787.8 .00036 .00004 .1200 23 223.38.330 8.308 69.210 70 75 4 913.1 .00020 .00002 .1200 40 933.88.332 8.318 69.303 75 80 8 658.5 .00012 .00001 .1200 72 145.78.332 8.324 69.359 80 85 15 259.2 .00007 .00001 .1200 127151.78.333 8.328 69.393 85 90 26 891.9 .00004 .1200 224091.18.333 8.330 69.414 90 95 47 392.8 .00002 .1200 394931.48.333 8.331 69.426 95 100 83 522.3 .00001 .1200 696010.58.333 8.332 69.434 100 ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ APPENDIX C: COMPOUND INTEREST TABLES 615 15% Compound Interest Factors 15% 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 n F/P P/F A/F A/P F/A P/A A/G P/G n 1 1.150 .8696 1.0000 1.1500 1.000 0.870 0 0 1 2 1.322 .7561 .4651 .6151 2.150 1.626 0.465 0.756 2 3 1.521 .6575 .2880 .4380 3.472 2.283 0.907 2.071 3 4 1.749 .5718 .2003 .3503 4.993 2.855 1.326 3.786 4 5 2.011 .4972 .1483 .2983 6.742 3.352 1.723 5.775 5 6 2.313 .4323 .1142 .2642 8.754 3.784 2.097 7.937 6 7 2.660 .3759 .0904 .2404 11.067 4.160 2.450 10.192 7 8 3.059 .3269 .0729 .2229 13.727 4.487 2.781 12.481 8 9 3.518 .2843 .0596 .2096 16.786 4.772 3.092 14.755 9 10 4.046 .2472 .0493 .1993 20.304 5.019 3.383 16.979 10 11 4.652 .2149 .0411 .1911 24.349 5.234 3.655 19.129 11 12 5.350 .1869 .0345 .1845 29.002 5.421 3.908 21.185 12 13 6.153 .1625 .0291 .1791 34.352 5.583 4.144 23.135 13 14 7.076 .1413 .0247 .1747 40.505 5.724 4.362 24.972 14 15 8.137 .1229 .0210 .1710 47.580 5.847 4.565 26.693 15 16 9.358 .1069 .0179 .1679 55.717 5.954 4.752 28.296 16 17 10.761 .0929 .0154 .1654 65.075 6.047 4.925 29.783 17 18 12.375 .0808 .0132 .1632 75.836 6.128 5.084 31.156 18 19 14.232 .0703 .0113 .1613 88.212 6.198 5.231 32.421 19 20 16.367 .0611 .00976 .1598 102.444 6.259 5.365 33.582 20 21 18.822 .0531 .00842 .1584 118.810 6.312 5.488 34.645 21 22 21.645 .0462 .00727 .1573 137.632 6.359 5.601 35.615 22 23 24.891 .0402 .00628 .1563 159.276 6.399 5.704 36.499 23 24 28.625 .0349 .00543 .1554 184.168 6.434 5.798 37.302 24 25 32.919 .0304 .00470 .1547 212.793 6.464 5.883 38.031 25 26 37.857 .0264 .00407 .1541 245.712 6.491 5.961 38.692 26 27 43.535 .0230 .00353 .1535 283.569 6.514 6.032 39.289 27 28 50.066 .0200 .00306 .1531 327.104 6.534 6.096 39.828 28 29 57.575 .0174 .00265 .1527 377.170 6.551 6.154 40.315 29 30 66.212 .0151 .00230 .1523 434.745 6.566 6.207 40.753 30 31 76.144 .0131 .00200 .1520 500.957 6.579 6.254 41.147 31 32 87.565 .0114 .00173 .1517 577.100 6.591 6.297 41.501 32 33 100.700 .00993 .00150 .1515 664.666 6.600 6.336 41.818 33 34 115.805 .00864 .00131 .1513 765.365 6.609 6.371 42.103 34 35 133.176 .00751 .00113 .1511 881.170 6.617 6.402 42.359 35 40 267.864 .00373 .00056 .1506 1 779.16.642 6.517 43.283 40 45 538.769 .00186 .00028 .1503 3 585.16.654 6.583 43.805 45 50 1 083.7 .00092 .00014 .1501 7 217.76.661 6.620 44.096 50 55 2 179.6 .00046 .00007 .1501 14 524.16.664 6.641 44.256 55 60 4 384.0 .00023 .00003 .1500 29 220.06.665 6.653 44.343 60 65 8 817.8 .00011 .00002 .1500 58 778.66.666 6.659 44.390 65 70 17735.7 .00006 .00001 .1500 118 231.56.666 6.663 44.416 70 75 35672.9 .00003 .1500 237 812.56.666 6.665 44.429 75 80 71750.9 .00001 .1500 478 332.66.667 6.666 44.436 80 85 144316.7 .00001 .1500 962 104.46.667 6.666 44.440 85 ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ 616 APPENDIX C: COMPOUND INTEREST TABLES 18% Compound Interest Factors 18% 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 n F/P P/F A/F A/P F/A P/A A/G P/G n 1 1.180 .8475 1.0000 1.1800 1.000 0.847 0 0 1 2 1.392 .7182 .4587 .6387 2.180 1.566 0.459 0.718 2 3 1.643 .6086 .2799 .4599 3.572 2.174 0.890 1.935 3 4 1.939 .5158 .1917 .3717 5.215 2.690 1.295 3.483 4 5 2.288 .4371 .1398 .3198 7.154 3.127 1.673 5.231 5 6 2.700 .3704 .1059 .2859 9.442 3.498 2.025 7.083 6 7 3.185 .3139 .0824 .2624 12.142 3.812 2.353 8.967 7 8 3.759 .2660 .0652 .2452 15.327 4.078 2.656 10.829 8 9 4.435 .2255 .0524 .2324 19.086 4.303 2.936 12.633 9 10 5.234 .1911 .0425 .2225 23.521 4.494 3.194 14.352 10 11 6.176 .1619 .0348 .2148 28.755 4.656 3.430 15.972 11 12 7.288 .1372 .0286 .2086 34.931 4.793 3.647 17.481 12 13 8.599 .1163 .0237 .2037 42.219 4.910 3.845 18.877 13 14 10.147 .0985 .0197 .1997 50.818 5.008 4.025 20.158 14 15 11.974 .0835 .0164 .1964 60.965 5.092 4.189 21.327 15 16 14.129 .0708 .0137 .1937 72.939 5.162 4.337 22.389 16 17 16.672 .0600 .0115 .1915 87.068 5.222 4.471 23.348 17 18 19.673 .0508 .00964 .1896 103.740 5.273 4.592 24.212 18 19 23.214 .0431 .00810 .1881 123.413 5.316 4.700 24.988 19 20 27.393 .0365 .00682 .1868 146.628 5.353 4.798 25.681 20 21 32.324 .0309 .00575 .1857 174.021 5.384 4.885 26.300 21 22 38.142 .0262 .00485 .1848 206.345 5.410 4.963 26.851 22 23 45.008 .0222 .00409 .1841 244.487 5.432 5.033 27.339 23 24 53.109 .0188 .00345 .1835 289.494 5.451 5.095 27.772 24 25 62.669 .0160 .00292 .1829 342.603 5.467 5.150 28.155 25 26 73.949 .0135 .00247 .1825 405.272 5.480 5.199 28.494 26 27 87.260 .0115 .00209 .1821 479.221 5.492 5.243 28.791 27 28 102.966 .00971 .00177 .1818 566.480 5.502 5.281 29.054 28 29 121.500 .00823 .00149 .1815 669.447 5.510 5.315 29.284 29 30 143.370 .00697 .00126 .1813 790.947 5.517 5.345 29.486 30 31 169.177 .00591 .00107 .1811 934.317 5.523 5.371 29.664 31 32 199.629 .00501 .00091 .1809 1 103.55.528 5.394 29.819 32 33 235.562 .00425 .00077 .1808 1 303.15.532 5.415 29.955 33 34 277.963 .00360 .00065 .1806 1 538.75.536 5.433 30.074 34 35 327.997 .00305 .00055 .1806 1 816.65.539 5.449 30.177 35 40 750.377 .00133 .00024 .1802 4 163.25.548 5.502 30.527 40 45 1 716.7 .00058 .00010 .1801 9 531.65.552 5.529 30.701 45 50 3 927.3 .00025 .00005 .1800 21 813.05.554 5.543 30.786 50 55 8 984.8 .00011 .00002 .1800 49 910.15.555 5.549 30.827 55 60 20 555.1 .00005 .00001 .1800 114189.45.555 5.553 30.846 60 65 47 025.1 .00002 .1800 261244.75.555 5.554 30.856 65 70 107 581.9 .00001 .1800 597671.75.556 5.555 30.860 70 ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ APPENDIX C: COMPOUND INTEREST TABLES 617 20% Compound Interest Factors 20% 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 n F/P P/F A/F A/P F/A P/A A/G P/G n 1 1.200 .8333 1.0000 1.2000 1.000 0.833 0 0 1 2 1.440 .6944 .4545 .6545 2.200 1.528 0.455 0.694 2 3 1.728 .5787 .2747 .4747 3.640 2.106 0.879 1.852 3 4 2.074 .4823 .1863 .3863 5.368 2.589 1.274 3.299 4 5 2.488 .4019 .1344 .3344 7.442 2.991 1.641 4.906 5 6 2.986 .3349 .1007 .3007 9.930 3.326 1.979 6.581 6 7 3.583 .2791 .0774 .2774 12.916 3.605 2.290 8.255 7 8 4.300 .2326 .0606 .2606 16.499 3.837 2.576 9.883 8 9 5.160 .1938 .0481 .2481 20.799 4.031 2.836 11.434 9 10 6.192 .1615 .0385 .2385 25.959 4.192 3.074 12.887 10 11 7.430 .1346 .0311 .2311 32.150 4.327 3.289 14.233 11 12 8.916 .1122 .0253 .2253 39.581 4.439 3.484 15.467 12 13 10.699 .0935 .0206 .2206 48.497 4.533 3.660 16.588 13 14 12.839 .0779 .0169 .2169 59.196 4.611 3.817 17.601 14 15 15.407 .0649 .0139 .2139 72.035 4.675 3.959 18.509 15 16 18.488 .0541 .0114 .2114 87.442 4.730 4.085 19.321 16 17 22.186 .0451 .00944 .2094 105.931 4.775 4.198 20.042 17 18 26.623 .0376 .00781 .2078 128.117 4.812 4.298 20.680 18 19 31.948 .0313 .00646 .2065 154.740 4.843 4.386 21.244 19 20 38.338 .0261 .00536 .2054 186.688 4.870 4.464 21.739 20 21 46.005 .0217 .00444 .2044 225.026 4.891 4.533 22.174 21 22 55.206 .0181 .00369 .2037 271.031 4.909 4.594 22.555 22 23 66.247 .0151 .00307 .2031 326.237 4.925 4.647 22.887 23 24 79.497 .0126 .00255 .2025 392.484 4.937 4.694 23.176 24 25 95.396 .0105 .00212 .2021 471.981 4.948 4.735 23.428 25 26 114.475 .00874 .00176 .2018 567.377 4.956 4.771 23.646 26 27 137.371 .00728 .00147 .2015 681.853 4.964 4.802 23.835 27 28 164.845 .00607 .00122 .2012 819.223 4.970 4.829 23.999 28 29 197.814 .00506 .00102 .2010 984.068 4.975 4.853 24.141 29 30 237.376 .00421 .00085 .2008 1 181.94.979 4.873 24.263 30 31 284.852 .00351 .00070 .2007 1 419.34.982 4.891 24.368 31 32 341.822 .00293 .00059 .2006 1 704.14.985 4.906 24.459 32 33 410.186 .00244 .00049 .2005 2 045.94.988 4.919 24.537 33 34 492.224 .00203 .00041 .2004 2 456.14.990 4.931 24.604 34 35 590.668 .00169 .00034 .2003 2 948.34.992 4.941 24.661 35 40 1 469.8 .00068 .00014 .2001 7 343.94.997 4.973 24.847 40 45 3 657.3 .00027 .00005 .2001 18 281.34.999 4.988 24.932 45 50 9 100.4 .00011 .00002 .2000 45 497.24.999 4.995 24.970 50 55 22644.8 .00004 .00001 .2000 113 219.05.000 4.998 24.987 55 60 56347.5 .00002 .2000 281 732.65.000 4.999 24.994 60 ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ 618 APPENDIX C: COMPOUND INTEREST TABLES 25% Compound Interest Factors 25% 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 n F/P P/F A/F A/P F/A P/A A/G P/G n 1 1.250 .8000 1.0000 1.2500 1.000 0.800 0 0 1 2 1.563 .6400 .4444 .6944 2.250 1.440 0.444 0.640 2 3 1.953 .5120 .2623 .5123 3.813 1.952 0.852 1.664 3 4 2.441 .4096 .1734 .4234 5.766 2.362 1.225 2.893 4 5 3.052 .3277 .1218 .3718 8.207 2.689 1.563 4.204 5 6 3.815 .2621 .0888 .3388 11.259 2.951 1.868 5.514 6 7 4.768 .2097 .0663 .3163 15.073 3.161 2.142 6.773 7 8 5.960 .1678 .0504 .3004 19.842 3.329 2.387 7.947 8 9 7.451 .1342 .0388 .2888 25.802 3.463 2.605 9.021 9 10 9.313 .1074 .0301 .2801 33.253 3.571 2.797 9.987 10 11 11.642 .0859 .0235 .2735 42.566 3.656 2.966 10.846 11 12 14.552 .0687 .0184 .2684 54.208 3.725 3.115 11.602 12 13 18.190 .0550 .0145 .2645 68.760 3.780 3.244 12.262 13 14 22.737 .0440 .0115 .2615 86.949 3.824 3.356 12.833 14 15 28.422 .0352 .00912 .2591 109.687 3.859 3.453 13.326 15 16 35.527 .0281 .00724 .2572 138.109 3.887 3.537 13.748 16 17 44.409 .0225 .00576 .2558 173.636 3.910 3.608 14.108 17 18 55.511 .0180 .00459 .2546 218.045 3.928 3.670 14.415 18 19 69.389 .0144 .00366 .2537 273.556 3.942 3.722 14.674 19 20 86.736 .0115 .00292 .2529 342.945 3.954 3.767 14.893 20 21 108.420 .00922 .00233 .2523 429.681 3.963 3.805 15.078 21 22 135.525 .00738 .00186 .2519 538.101 3.970 3.836 15.233 22 23 169.407 .00590 .00148 .2515 673.626 3.976 3.863 15.362 23 24 211.758 .00472 .00119 .2512 843.033 3.981 3.886 15.471 24 25 264.698 .00378 .00095 .2509 1 054.83.985 3.905 15.562 25 26 330.872 .00302 .00076 .2508 1 319.53.988 3.921 15.637 26 27 413.590 .00242 .00061 .2506 1 650.43.990 3.935 15.700 27 28 516.988 .00193 .00048 .2505 2 064.03.992 3.946 15.752 28 29 646.235 .00155 .00039 .2504 2 580.93.994 3.955 15.796 29 30 807.794 .00124 .00031 .2503 3 227.23.995 3.963 15.832 30 31 1 009.7 .00099 .00025 .2502 4 035.03.996 3.969 15.861 31 32 1 262.2 .00079 .00020 .2502 5 044.73.997 3.975 15.886 32 33 1 577.7 .00063 .00016 .2502 6 306.93.997 3.979 15.906 33 34 1 972.2 .00051 .00013 .2501 7 884.63.998 3.983 15.923 34 35 2 465.2 .00041 .00010 .2501 9 856.83.998 3.986 15.937 35 40 7 523.2 .00013 .00003 .2500 30 088.73.999 3.995 15.977 40 45 22 958.9 .00004 .00001 .2500 91 831.54.000 3.998 15.991 45 50 70 064.9 .00001 .2500 280255.74.000 3.999 15.997 50 55 213 821.2 .2500 855280.74.000 4.000 15.999 55 ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ APPENDIX C: COMPOUND INTEREST TABLES 619 30% Compound Interest Factors 30% 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 n F/P P/F A/F A/P F/A P/A A/G P/G n 1 1.300 .7692 1.0000 1.3000 1.000 0.769 0 0 1 2 1.690 .5917 .4348 .7348 2.300 1.361 0.435 0.592 2 3 2.197 .4552 .2506 .5506 3.990 1.816 0.827 1.502 3 4 2.856 .3501 .1616 .4616 6.187 2.166 1.178 2.552 4 5 3.713 .2693 .1106 .4106 9.043 2.436 1.490 3.630 5 6 4.827 .2072 .0784 .3784 12.756 2.643 1.765 4.666 6 7 6.275 .1594 .0569 .3569 17.583 2.802 2.006 5.622 7 8 8.157 .1226 .0419 .3419 23.858 2.925 2.216 6.480 8 9 10.604 .0943 .0312 .3312 32.015 3.019 2.396 7.234 9 10 13.786 .0725 .0235 .3235 42.619 3.092 2.551 7.887 10 11 17.922 .0558 .0177 .3177 56.405 3.147 2.683 8.445 11 12 23.298 .0429 .0135 .3135 74.327 3.190 2.795 8.917 12 13 30.287 .0330 .0102 .3102 97.625 3.223 2.889 9.314 13 14 39.374 .0254 .00782 .3078 127.912 3.249 2.969 9.644 14 15 51.186 .0195 .00598 .3060 167.286 3.268 3.034 9.917 15 16 66.542 .0150 .00458 .3046 218.472 3.283 3.089 10.143 16 17 86.504 .0116 .00351 .3035 285.014 3.295 3.135 10.328 17 18 112.455 .00889 .00269 .3027 371.518 3.304 3.172 10.479 18 19 146.192 .00684 .00207 .3021 483.973 3.311 3.202 10.602 19 20 190.049 .00526 .00159 .3016 630.165 3.316 3.228 10.702 20 21 247.064 .00405 .00122 .3012 820.214 3.320 3.248 10.783 21 22 321.184 .00311 .00094 .3009 1 067.33.323 3.265 10.848 22 23 417.539 .00239 .00072 .3007 1 388.53.325 3.278 10.901 23 24 542.800 .00184 .00055 .3006 1 806.03.327 3.289 10.943 24 25 705.640 .00142 .00043 .3004 2 348.83.329 3.298 10.977 25 26 917.332 .00109 .00033 .3003 3 054.43.330 3.305 11.005 26 27 1 192.5 .00084 .00025 .3003 3 971.83.331 3.311 11.026 27 28 1 550.3 .00065 .00019 .3002 5 164.33.331 3.315 11.044 28 29 2 015.4 .00050 .00015 .3001 6 714.63.332 3.319 11.058 29 30 2 620.0 .00038 .00011 .3001 8 730.03.332 3.322 11.069 30 31 3 406.0 .00029 .00009 .3001 11 350.03.332 3.324 11.078 31 32 4 427.8 .00023 .00007 .3001 14 756.03.333 3.326 11.085 32 33 5 756.1 .00017 .00005 .3001 19 183.73.333 3.328 11.090 33 34 7 483.0 .00013 .00004 .3000 24 939.93.333 3.329 11.094 34 35 9 727.8 .00010 .00003 .3000 32 422.83.333 3.330 11.098 35 40 36118.8 .00003 .00001 .3000 120 392.63.333 3.332 11.107 40 45 134106.5 .00001 .3000 447 018.33.333 3.333 11.110 45 ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ 620 APPENDIX C: COMPOUND INTEREST TABLES 35% Compound Interest Factors 35% 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 n F/P P/F A/F A/P F/A P/A A/G P/G n 1 1.350 .7407 1.0000 1.3500 1.000 0.741 0 0 1 2 1.822 .5487 .4255 .7755 2.350 1.289 0.426 0.549 2 3 2.460 .4064 .2397 .5897 4.173 1.696 0.803 1.362 3 4 3.322 .3011 .1508 .5008 6.633 1.997 1.134 2.265 4 5 4.484 .2230 .1005 .4505 9.954 2.220 1.422 3.157 5 6 6.053 .1652 .0693 .4193 14.438 2.385 1.670 3.983 6 7 8.172 .1224 .0488 .3988 20.492 2.508 1.881 4.717 7 8 11.032 .0906 .0349 .3849 28.664 2.598 2.060 5.352 8 9 14.894 .0671 .0252 .3752 39.696 2.665 2.209 5.889 9 10 20.107 .0497 .0183 .3683 54.590 2.715 2.334 6.336 10 11 27.144 .0368 .0134 .3634 74.697 2.752 2.436 6.705 11 12 36.644 .0273 .00982 .3598 101.841 2.779 2.520 7.005 12 13 49.470 .0202 .00722 .3572 138.485 2.799 2.589 7.247 13 14 66.784 .0150 .00532 .3553 187.954 2.814 2.644 7.442 14 15 90.158 .0111 .00393 .3539 254.739 2.825 2.689 7.597 15 16 121.714 .00822 .00290 .3529 344.897 2.834 2.725 7.721 16 17 164.314 .00609 .00214 .3521 466.611 2.840 2.753 7.818 17 18 221.824 .00451 .00158 .3516 630.925 2.844 2.776 7.895 18 19 299.462 .00334 .00117 .3512 852.748 2.848 2.793 7.955 19 20 404.274 .00247 .00087 .3509 1 152.22.850 2.808 8.002 20 21 545.769 .00183 .00064 .3506 1 556.52.852 2.819 8.038 21 22 736.789 .00136 .00048 .3505 2 102.32.853 2.827 8.067 22 23 994.665 .00101 .00035 .3504 2 839.02.854 2.834 8.089 23 24 1 342.8 .00074 .00026 .3503 3 833.72.855 2.839 8.106 24 25 1 812.8 .00055 .00019 .3502 5 176.52.856 2.843 8.119 25 26 2 447.2 .00041 .00014 .3501 6 989.32.856 2.847 8.130 26 27 3 303.8 .00030 .00011 .3501 9 436.52.856 2.849 8.137 27 28 4 460.1 .00022 .00008 .3501 12 740.32.857 2.851 8.143 28 29 6 021.1 .00017 .00006 .3501 17 200.42.857 2.852 8.148 29 30 8 128.5 .00012 .00004 .3500 23 221.62.857 2.853 8.152 30 31 10 973.5 .00009 .00003 .3500 31 350.12.857 2.854 8.154 31 32 14 814.3 .00007 .00002 .3500 42 323.72.857 2.855 8.157 32 33 19 999.3 .00005 .00002 .3500 57 137.92.857 2.855 8.158 33 34 26 999.0 .00004 .00001 .3500 77 137.22.857 2.856 8.159 34 35 36 448.7 .00003 .00001 .3500 104136.32.857 2.856 8.160 35 ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ APPENDIX C: COMPOUND INTEREST TABLES 621 40% Compound Interest Factors 40% 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 n F/P P/F A/F A/P F/A P/A A/G P/G n 1 1.400 .7143 1.0000 1.4000 1.000 0.714 0 0 1 2 1.960 .5102 .4167 .8167 2.400 1.224 0.417 0.510 2 3 2.744 .3644 .2294 .6294 4.360 1.589 0.780 1.239 3 4 3.842 .2603 .1408 .5408 7.104 1.849 1.092 2.020 4 5 5.378 .1859 .0914 .4914 10.946 2.035 1.358 2.764 5 6 7.530 .1328 .0613 .4613 16.324 2.168 1.581 3.428 6 7 10.541 .0949 .0419 .4419 23.853 2.263 1.766 3.997 7 8 14.758 .0678 .0291 .4291 34.395 2.331 1.919 4.471 8 9 20.661 .0484 .0203 .4203 49.153 2.379 2.042 4.858 9 10 28.925 .0346 .0143 .4143 69.814 2.414 2.142 5.170 10 11 40.496 .0247 .0101 .4101 98.739 2.438 2.221 5.417 11 12 56.694 .0176 .00718 .4072 139.235 2.456 2.285 5.611 12 13 79.371 .0126 .00510 .4051 195.929 2.469 2.334 5.762 13 14 111.120 .00900 .00363 .4036 275.300 2.478 2.373 5.879 14 15 155.568 .00643 .00259 .4026 386.420 2.484 2.403 5.969 15 16 217.795 .00459 .00185 .4018 541.988 2.489 2.426 6.038 16 17 304.913 .00328 .00132 .4013 759.783 2.492 2.444 6.090 17 18 426.879 .00234 .00094 .4009 1 064.72.494 2.458 6.130 18 19 597.630 .00167 .00067 .4007 1 419.62.496 2.468 6.160 19 20 836.682 .00120 .00048 .4005 2 089.22.497 2.476 6.183 20 21 1 171.4 .00085 .00034 .4003 2 925.92.498 2.482 6.200 21 22 1 639.9 .00061 .00024 .4002 4 097.22.498 2.487 6.213 22 23 2 295.9 .00044 .00017 .4002 5 737.12.499 2.490 6.222 23 24 3 214.2 .00031 .00012 .4001 8 033.02.499 2.493 6.229 24 25 4 499.9 .00022 .00009 .4001 11 247.22.499 2.494 6.235 25 26 6 299.8 .00016 .00006 .4001 15 747.12.500 2.496 6.239 26 27 8 819.8 .00011 .00005 .4000 22 046.92.500 2.497 6.242 27 28 12347.7 .00008 .00003 .4000 30 866.72.500 2.498 6.244 28 29 17286.7 .00006 .00002 .4000 43 214.32.500 2.498 6.245 29 30 24201.4 .00004 .00002 .4000 60 501.02.500 2.499 6.247 30 31 33882.0 .00003 .00001 .4000 84 702.52.500 2.499 6.248 31 32 47434.8 .00002 .00001 .4000 118 584.42.500 2.499 6.248 32 33 66408.7 .00002 .00001 .4000 166 019.22.500 2.500 6.249 33 34 92972.1 .00001 .4000 232 427.92.500 2.500 6.249 34 35 130161.0 .00001 .4000 325 400.02.500 2.500 6.249 35 ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ 622 APPENDIX C: COMPOUND INTEREST TABLES 45% Compound Interest Factors 45% 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 n F/P P/F A/F A/P F/A P/A A/G P/G n 1 1.450 .6897 1.0000 1.4500 1.000 0.690 0 0 1 2 2.103 .4756 .4082 .8582 2.450 1.165 0.408 0.476 2 3 3.049 .3280 .2197 .6697 4.553 1.493 0.758 1.132 3 4 4.421 .2262 .1316 .5816 7.601 1.720 1.053 1.810 4 5 6.410 .1560 .0832 .5332 12.022 1.876 1.298 2.434 5 6 9.294 .1076 .0543 .5043 18.431 1.983 1.499 2.972 6 7 13.476 .0742 .0361 .4861 27.725 2.057 1.661 3.418 7 8 19.541 .0512 .0243 .4743 41.202 2.109 1.791 3.776 8 9 28.334 .0353 .0165 .4665 60.743 2.144 1.893 4.058 9 10 41.085 .0243 .0112 .4612 89.077 2.168 1.973 4.277 10 11 59.573 .0168 .00768 .4577 130.162 2.185 2.034 4.445 11 12 86.381 .0116 .00527 .4553 189.735 2.196 2.082 4.572 12 13 125.252 .00798 .00362 .4536 276.115 2.204 2.118 4.668 13 14 181.615 .00551 .00249 .4525 401.367 2.210 2.145 4.740 14 15 263.342 .00380 .00172 .4517 582.982 2.214 2.165 4.793 15 16 381.846 .00262 .00118 .4512 846.325 2.216 2.180 4.832 16 17 553.677 .00181 .00081 .4508 1 228.22.218 2.191 4.861 17 18 802.831 .00125 .00056 .4506 1 781.82.219 2.200 4.882 18 19 1 164.1 .00086 .00039 .4504 2 584.72.220 2.206 4.898 19 20 1 688.0 .00059 .00027 .4503 3 748.82.221 2.210 4.909 20 21 2 447.5 .00041 .00018 .4502 5 436.72.221 2.214 4.917 21 22 3 548.9 .00028 .00013 .4501 7 884.32.222 2.216 4.923 22 23 5 145.9 .00019 .00009 .4501 11 433.22.222 2.218 4.927 23 24 7 461.6 .00013 .00006 .4501 16 579.12.222 2.219 4.930 24 25 10 819.3 .00009 .00004 .4500 24 040.72.222 2.220 4.933 25 26 15 688.0 .00006 .00003 .4500 34 860.12.222 2.221 4.934 26 27 22 747.7 .00004 .00002 .4500 50 548.12.222 2.221 4.935 27 28 32 984.1 .00003 .00001 .4500 73 295.82.222 2.221 4.936 28 29 47 826.9 .00002 .00001 .4500 106279.92.222 2.222 4.937 29 30 69 349.1 .00001 .00001 .4500 154106.82.222 2.222 4.937 30 31 100 556.1 .00001 .4500 223455.92.222 2.222 4.938 31 32 145 806.4 .00001 .4500 324012.02.222 2.222 4.938 32 33 211 419.3 .4500 469818.52.222 2.222 4.938 33 34 306 558.0 .4500 681237.82.222 2.222 4.938 34 35 444 509.2 .4500 987795.92.222 2.222 4.938 35 ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ APPENDIX C: COMPOUND INTEREST TABLES 623 50% Compound Interest Factors 50% 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 n F/P P/F A/F A/P F/A P/A A/G P/G n 1 1.500 .6667 1.0000 1.5000 1.000 0.667 0 0 1 2 2.250 .4444 .4000 .9000 2.500 1.111 0.400 0.444 2 3 3.375 .2963 .2105 .7105 4.750 1.407 0.737 1.037 3 4 5.063 .1975 .1231 .6231 8.125 1.605 1.015 1.630 4 5 7.594 .1317 .0758 .5758 13.188 1.737 1.242 2.156 5 6 11.391 .0878 .0481 .5481 20.781 1.824 1.423 2.595 6 7 17.086 .0585 .0311 .5311 32.172 1.883 1.565 2.947 7 8 25.629 .0390 .0203 .5203 49.258 1.922 1.675 3.220 8 9 38.443 .0260 .0134 .5134 74.887 1.948 1.760 3.428 9 10 57.665 .0173 .00882 .5088 113.330 1.965 1.824 3.584 10 11 86.498 .0116 .00585 .5058 170.995 1.977 1.871 3.699 11 12 129.746 .00771 .00388 .5039 257.493 1.985 1.907 3.784 12 13 194.620 .00514 .00258 .5026 387.239 1.990 1.933 3.846 13 14 291.929 .00343 .00172 .5017 581.859 1.993 1.952 3.890 14 15 437.894 .00228 .00114 .5011 873.788 1.995 1.966 3.922 15 16 656.814 .00152 .00076 .5008 1 311.71.997 1.976 3.945 16 17 985.261 .00101 .00051 .5005 1 968.51.998 1.983 3.961 17 18 1 477.9 .00068 .00034 .5003 2 953.81.999 1.988 3.973 18 19 2 216.8 .00045 .00023 .5002 4 431.71.999 1.991 3.981 19 20 3 325.3 .00030 .00015 .5002 6 648.51.999 1.994 3.987 20 21 4 987.9 .00020 .00010 .5001 9 973.82.000 1.996 3.991 21 22 7 481.8 .00013 .00007 .5001 14 961.72.000 1.997 3.994 22 23 11222.7 .00009 .00004 .5000 22 443.52.000 1.998 3.996 23 24 16834.1 .00006 .00003 .5000 33 666.22.000 1.999 3.997 24 25 25251.2 .00004 .00002 .5000 50 500.32.000 1.999 3.998 25 26 37876.8 .00003 .00001 .5000 75 751.52.000 1.999 3.999 26 27 56815.1 .00002 .00001 .5000 113 628.32.000 2.000 3.999 27 28 85222.7 .00001 .00001 .5000 170 443.42.000 2.000 3.999 28 29 127834.0 .00001 .5000 255 666.12.000 2.000 4.000 29 30 191751.1 .00001 .5000 383 500.12.000 2.000 4.000 30 31 287626.6 .5000 575 251.22.000 2.000 4.000 31 32 431439.9 .5000 862 877.82.000 2.000 4.000 32 ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ 624 APPENDIX C: COMPOUND INTEREST TABLES 60% Compound Interest Factors 60% 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 n F/P P/F A/F A/P F/A P/A A/G P/G n 1 1.600 .6250 1.0000 1.6000 1.000 0.625 0 0 1 2 2.560 .3906 .3846 .9846 2.600 1.016 0.385 0.391 2 3 4.096 .2441 .1938 .7938 5.160 1.260 0.698 0.879 3 4 6.554 .1526 .1080 .7080 9.256 1.412 0.946 1.337 4 5 10.486 .0954 .0633 .6633 15.810 1.508 1.140 1.718 5 6 16.777 .0596 .0380 .6380 26.295 1.567 1.286 2.016 6 7 26.844 .0373 .0232 .6232 43.073 1.605 1.396 2.240 7 8 42.950 .0233 .0143 .6143 69.916 1.628 1.476 2.403 8 9 68.719 .0146 .00886 .6089 112.866 1.642 1.534 2.519 9 10 109.951 .00909 .00551 .6055 181.585 1.652 1.575 2.601 10 11 175.922 .00568 .00343 .6034 291.536 1.657 1.604 2.658 11 12 281.475 .00355 .00214 .6021 467.458 1.661 1.624 2.697 12 13 450.360 .00222 .00134 .6013 748.933 1.663 1.638 2.724 13 14 720.576 .00139 .00083 .6008 1 199.31.664 1.647 2.742 14 15 1 152.9 .00087 .00052 .6005 1 919.91.665 1.654 2.754 15 16 1 844.7 .00054 .00033 .6003 3 072.81.666 1.658 2.762 16 17 2 951.5 .00034 .00020 .6002 4 917.51.666 1.661 2.767 17 18 4 722.4 .00021 .00013 .6001 7 868.91.666 1.663 2.771 18 19 7 555.8 .00013 .00008 .6011 12 591.31.666 1.664 2.773 19 20 12 089.3 .00008 .00005 .6000 20 147.11.667 1.665 2.775 20 21 19 342.8 .00005 .00003 .6000 32 236.31.667 1.666 2.776 21 22 30 948.5 .00003 .00002 .6000 51 579.21.667 1.666 2.777 22 23 49 517.6 .00002 .00001 .6000 82 527.61.667 1.666 2.777 23 24 79 228.1 .00001 .00001 .6000 132045.21.667 1.666 2.777 24 25 126 765.0 .00001 .6000 211273.41.667 1.666 2.777 25 26 202 824.0 .6000 338038.41.667 1.667 2.778 26 27 324 518.4 .6000 540862.41.667 1.667 2.778 27 28 519 229.5 .6000 865380.91.667 1.667 2.778 28 ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ APPENDIX C: COMPOUND INTEREST TABLES 625 Continuous Compounding—Single Payment Factors Compound Present Compound Present Amount Worth Amount Worth Factor Factor Factor Factor e rn e −rn e rn Find F Find P Find F Find P Given P Find F Given P Given F rn F/P P/F rn F/P P/F .01 1.0101 .9900 .51 1.6653 .6005 .02 1.0202 .9802 .52 1.6820 .5945 .03 1.0305 .9704 .53 1.6989 .5886 .04 1.0408 .9608 .54 1.7160 .5827 .05 1.0513 .9512 .55 1.7333 .5769 .06 1.0618 .9418 .56 1.7507 .5712 .07 1.0725 .9324 .57 1.7683 .5655 .08 1.0833 .9231 .58 1.7860 .5599 .09 1.0942 .9139 .59 1.8040 .5543 .10 1.1052 .9048 .60 1.8221 .5488 .11 1.1163 .8958 .61 1.8404 .5434 .12 1.1275 .8869 .62 1.8589 .5379 .13 1.1388 .8781 .63 1.8776 .5326 .14 1.1503 .8694 .64 1.8965 .5273 .15 1.1618 .8607 .65 1.9155 .5220 .16 1.1735 .8521 .66 1.9348 .5169 .17 1.1853 .8437 .67 1.9542 .5117 .18 1.1972 .8353 .68 1.9739 .5066 .19 1.2092 .8270 .69 1.9937 .5016 .20 1.2214 .8187 .70 2.0138 .4966 .21 1 .2337 .8106 .71 2.0340 .4916 .22 1.2461 .8025 .72 2.0544 .4868 .23 1.2586 .7945 .73 2.0751 .4819 .24 1.2712 .7866 .74 2.0959 .4771 .25 1.2840 .7788 .75 2.1170 .4724 .26 1.2969 .7711 .76 2.1383 .4677 .27 1.3100 .7634 .77 2.1598 .4630 .28 1.3231 .7558 .78 2.1815 .4584 .29 1.3364 .7483 .79 2.2034 .4538 .30 1.3499 .7408 .80 2.2255 .4493 .31 1. 3634 .7334 .81 2.2479 .4449 .32 1.3771 .7261 .82 2.2705 .4404 .33 1.3910 .7189 .83 2.2933 .4360 .34 1.4049 .7118 .84 2.3164 .4317 .35 1.4191 .7047 .85 2.3396 .4274 .36 1.4333 .6977 .86 2.3632 .4232 .37 1.4477 .6907 .87 2.3869 .4190 .38 1.4623 .6839 .88 2.4109 .4148 .39 1.4770 .6771 .89 2.4351 .4107 .40 1.4918 .6703 .90 2.4596 .4066 .41 1.5068 .6637 .91 2.4843 .4025 .42 1.5220 .6570 .92 2.5093 .3985 .43 1.5373 .6505 .93 2.5345 .3946 .44 1.5527 .6440 .94 2.5600 .3906 .45 1.5683 .6376 .95 2.5857 .3867 .46 1.5841 .6313 .96 2.6117 .3829 .47 1.6000 .6250 .97 2.6379 .3791 .48 1.6161 .6188 .98 2.6645 .3753 .49 1.6323 .6126 .99 2.6912 .3716 .50 1.6487 .6065 1.00 2.7183 .3679 e −rn ✐ ✐ ✐ ✐