Table of Future Value Factors Instructions: To use this table, find the future value factor that corresponds to both a given time period (year) and an interest rate. For example, if you want the future value factor for 6 years and 10%, move across from year 6 and down from 10% to the point at which the row and column intersect: 1.772. Other illustrations: for 3 years and 15%, the proper future value factor is 1.521; for 30 years and 8%, it is 10.063. INTEREST RATE Period 1% 2% 3% 5% 6% 9% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 25% 30% 1 1.010 1.020 1.030 1.040 1.050 1.080 1.070 1.090 1.090 1.100 1.110 1.120 1.130 1.140 1.150 1.160 1.170 1.180 1.190 1.200 1.250 1.300 2 1.020 1.040 1.061 1.082 1.103 1.124 1.145 1.166 1.188 1.210 1.232 1.254 1.277 1.300 1.323 1.346 1.369 1.392 1.416 1.440 1.583 1.690 3 1.030 1.061 1.093 1.125 1.295 1.388 1.406 1.521 1.561 1.602 1.953 2.197 4 1.331 1.464 1.OBZ 1.158 1.216 1.276 1.443 1.630 1.170 1.191 1.262 1.338 1.225 1.311 1.403 1.230 1.380 1.489 1.728 2.074 1.412 1.574 1.041 1.051 1.749 1.482 1.689 1.925 1.126 1.159 1.811 1.874 1.843 1.939 2.289 2.441 1.686 2.005 2.388 1.518 1.685 2.856 5 1.104 1.217 1.539 1.611 1.782 1.842 2.011 2.100 2.192 2.488 3.052 3.713 6 1.062 1.126 1.194 1.265 1.340 1.419 1.501 1.587 1.677 1.772 1.870 1.974 2.082 2.196 2.313 2.436 2.565 2.700 2.840 2.986 3.815 4.827 7 1.072 1.149 1.230 1.316 1.407 1.504 1.606 1.714 1.828 1.949 2.076 2.211 2.353 2.502 2.680 2.826 3.001 3.185 3.379 3.583 4.768 6.275 8 1.083 1.267 1.369 1.477 1.594 1.718 1.951 1.993 2.305 2.853 3.759 8.157 1.172 1.196 2.144 2.358 2.476 2.773 2.658 3.004 3.059 3.518 3.278 3.903 3.511 4.108 4.021 4.785 4.300 5.160 5.960 7.451 9 1.094 1.305 1.423 1.551 1.699 1.838 1.999 2.172 2.568 3.252 4.435 10.604 10 1.105 1.219 1.344 1.480 1.629 1.791 1.967 2.159 2.387 2.594 2.839 3.106 3.396 3.707 4.046 4.411 4.807 5.234 5.896 6.192 9.313 13.796 11 1.116 1.243 1.384 1.539 1.710 1.898 2.105 2.332 2.580 2.853 3.152 3.479 3.836 4.226 4.652 5.117 5.624 6.178 6.777 7.430 11.642 17.922 12 1.127 1.288 1.426 1.601 1.796 2.252 2.518 2.813 3.138 3.498 3.896 4.336 4.818 5.350 5.938 6.580 7.289 8.064 8.916 14.552 23.298 2.012 2.133 13 1.139 1.294 1.489 1.665 1.996 2.410 2.720 3.086 3.452 3.893 4.383 4.898 5.492 6.153 6.888 7.699 8.599 9.596 10.699 18.190 30.288 14 1.149 1.319 1.513 1.732 1.980 2.261 2.579 2.937 3.342 3.797 4.310 4.897 5.535 6.261 7.076 7.989 9.007 10.147 11.420 12.839 22.737 39.374 15 1.161 1.346 1.558 1.901 2.079 2.397 2.759 3.172 3.842 4.177 4.785 5.474 6.254 7.138 8.137 9.286 10.539 11.974 13.590 15.407 28.422 51.196 16 1.173 1.373 1.605 1.873 2.183 2.540 2.962 3.426 3.970 4.595 5.311 6.130 7.067 8.137 9.358 10.748 12.330 14.129 16.172 18.489 36.527 68.542 17 1.184 1.400 1.653 1.948 2.292 3.159 3.700 4.328 5.054 5.895 6.886 7.988 9.276 10.761 12.468 14.426 16.672 19.244 22.186 44.409 88.504 2.693 2.854 18 1.198 1.428 1.702 2.028 2.407 3.380 3.996 4.717 5.580 6.544 7.690 9.024 10.575 12.375 14.463 16.879 19.673 22.901 28.623 55.511 112.455 19 1.208 1.457 1.754 2.527 3.026 3.617 4.316 5.142 6.116 7.263 8.613 10.197 12.056 31.948 69.399 146.192 2.107 2.191 20 27.252 32.429 1.220 1.488 1.908 2.663 3.207 4.681 5.604 6.727 8.082 11.523 13.743 14.232 16.367 18.922 16.777 19.748 23.214 19.461 23.106 27.393 22.574 27.034 32.324 38.338 3.870 4.141 88.736 9.646 10.804 190.050 21 1.232 1.516 1.960 2.279 2.796 3.400 5.034 6.109 7.400 8.949 13.021 15.668 38.591 46.006 108.420 247.085 22 1.245 1.546 1.916 2.370 2.925 4.430 5.437 6.659 8.140 9.934 12.100 14.714 17.861 21.645 55.206 135.525 321.184 3.604 3.820 26.186 31.629 38.142 30.376 37.006 45.000 45.923 54.649 23 1.257 1.577 1.974 2.465 3.072 4.741 5.871 7.258 8.954 11.026 13.552 16.627 20.362 24.891 66.247 189,407 417.539 24 1.270 1.608 2.033 2.563 3.225 4.049 5.072 6.341 7.911 9.850 12.239 15.179 18.789 23.212 28.625 35.236 43.297 65.032 79.497 211.758 542 801 53.109 62.689 25 1.282 1.641 2.094 2.686 3.398 4.292 5.427 6.848 8.623 10.835 13.585 17.000 21.231 28.462 32.919 40.874 50.658 95 396 284.698 706.841 77.388 92.092 26 1.295 1.673 2.157 2.772 3.556 4.549 5.807 7.396 9.399 114.475 330.872 917.333 11.918 15.080 19.040 13.110 16.739 21.325 27 1.308 1.707 2.221 2.883 3.733 4.822 6.214 7.998 10.245 22.991 30.167 37.857 47.414 59.270 73.949 27.109 34.390 43.535 55.000 69.345 87-280 30.633 39.204 50.068 63.800 81.134 102.967 109.589 137.371 413.590 1.192.533 28 1.321 1.741 2.289 2.999 3.920 5.112 6.649 8.627 11.167 14.421 18.580 23.894 130.411 164.845 516.998 1,550.293 29 1.335 1.776 2.357 3.119 4.116 5.418 12.172 15.863 20.624 155.189 7.114 9.317 7.612 10.063 26.750 29.950 30 1.348 1.811 2.427 3.243 4.322 5.743 13.268 17.449 22.892 34.616 44.693 57.575 74.009 94.927 121.501 39.116 50.950 66.212 85.850 111.065 143.371 72.069 98.100 133.176 180.314 243.503 327.997 184.675 197.814 646.235 2.015.381 237376 807.794 2,619.996 590.868 2,465.190 9,727.860 35 1.417 2.000 2.814 3.946 5.516 7.686 10.677 14.786 20.414 28.102 38.575 52.800 440.701 40 1.489 2.208 3.262 4.901 7.040 10.286 14.974 21.726 31.409 45.259 65.001 93.051 132.782 188.884 267.884 378.721 533.869 750.378 1,061.668 1,469.772 7.523.164 38,118.885 Note: All factors are rounded to the nearest 1/1000 in order to agree with values used in the text. Table of Future Value Annuity Factors Instructions: To use this table, find the future value of annuity factor that corresponds to both a given time period (year) and an interest rate. For example, if you want the future value of annuity factor for 6 years and 10%, move across from year 6 and down from 10% to the point at which the row and column intersect: 7.716. Other illustrations: for 3 years and 15%, the proper future value of annuity factor is 3.473; for 30 years and 6%, it is 79.058. INTEREST RATE 1 Period 1% 2% 4% 5% 8% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 25% 30% 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 2 2.010 2.020 2.030 2.040 2.050 2.060 2.070 2.080 2.090 2.100 2.110 2.120 2.130 2.140 2.150 2.160 2.170 2.180 2.190 2.200 2.250 2.300 3 3.030 3.060 3.091 3.122 3.153 3.184 3.215 3.246 3.278 3.310 3.342 3.374 3.407 3.440 3.473 3.506 3.539 3.572 3.606 3.640 3.813 3.990 4 4.060 4.122 4.184 4.248 4.310 4.375 4.440 4.506 4.573 4.641 4.710 4.779 4.850 4.921 4.993 5.066 5.141 5.215 5.291 5.368 5.766 6.187 5 5.101 5.204 5.309 5.416 5.526 5.637 5.751 5.887 5.985 6.105 6.228 6.353 6.480 6.610 6.742 6.877 7.014 7.154 7.297 7.442 8.207 9.043 6 6.152 6.309 1.469 6.633 8.802 6.975 7.153 7.336 7.523 7.716 7.913 8.115 8.323 8.536 8.754 8.977 9.207 9.442 9.683 9.930 11.259 12.758 7 7.214 7.434 7.662 7.898 8.142 8.394 8.654 8.923 9.200 9.487 9.783 10.089 10.406 10.730 11.067 11.414 11.772 12.142 12.523 12.916 15.073 17.583 8 8.286 8.583 8.892 9.214 9.549 9.897 10.260 10.637 11.028 11.436 11.859 12.300 12.757 13.233 13.727 14.240 14.773 15.327 15.902 16.499 19.842 23.858 9 9.369 9.755 10.159 10.583 11.027 11.491 11.978 12.488 13.021 13.579 14.164 14.776 15.416 16.085 16.788 17.519 18.295 19.096 19.923 20.799 25.802 32.015 10 10.462 10.950 11.484 12.006 12.578 13.181 13.816 14.487 15.193 15.937 16.722 17.549 18.420 19.337 20.304 21.321 22.393 23.521 24.709 25.959 33.253 42.619 11 11.567 12.169 12.808 13.486 14.207 14.972 15.784 16.845 17.560 18.531 19.561 20.655 21.814 23.045 24.349 26.733 27.200 28.755 30.404 32.150 42.568 56.405 12 12.683 13.412 14.192 15.026 15.917 16.870 17.889 18.977 20.141 21.384 22.713 24.133 25.650 27.271 29.002 30.850 32.824 34.931 37.190 39.581 54.208 74.327 13 13.809 14.680 15.618 16.627 17.713 18.882 20.141 21.495 22.953 24.523 26.212 28.029 29.986 32.099 34.352 36.796 39.404 42.219 45.244 48.497 68.760 97.625 14 14.947 15.974 17.086 18.292 19.599 21.015 22.550 24.215 26.019 27.975 30.095 32.393 34.883 37.581 40.505 43.672 47.103 50.818 54.841 59.196 98.949 127.913 15 16.097 17.293 18.599 20.024 21.579 23.276 25.129 27.152 29.381 31.772 34.405 37.280 40.417 43.842 47.580 51.680 58.110 60.985 68.261 72.035 109.687 167.286 16 17.258 18.639 20.157 21.825 23.657 25.673 27.888 30.324 33.003 35.950 39.190 42.753 46.672 50.990 55.717 60.925 68.849 72.939 79.850 87.442 138.109 218.472 17 18.430 20.012 21.762 23.698 25.840 28.213 30.840 33.750 38.974 40.545 44.501 48.884 53.739 59.118 65.075 71.873 78.979 87.088 96.022 106.931 173.636 285.01 18 19.615 21.412 23.414 25.845 28.132 30.906 33.999 37.450 41.301 45.599 50.396 55.750 61.725 68.394 75.836 84.141 93.406 103.74 115.27 128.117 218.045 371.52 19 20.811 22.841 25.117 27.671 30.539 33.760 37 379 41.446 46.018 51.159 58.939 63.440 70.749 78.989 88.212 98.603 110.28 123.41 138.17 154.740 273.556 483.97 20 22.019 24.297 26.870 29.778 33.068 36.786 40.995 45.762 51.160 57 275 84.203 72.052 80.947 91.025 102.444 115.380 130.033 146.628 165.418 188.688 342.945 630.165 21 23.239 25.783 28.676 31.969 35.719 39.99 44.865 50.423 56.765 64.002 72.265 81.699 92.470 104.768 118.810 134.841 153.139 174.021 197.847 225.026 429.681 820.215 24.472 27.299 30.537 34.248 38.506 43.392 49.006 55.457 62.873 71.403 81.214 92.503 105.491 120.436 137.632 157.415 180.172 208.345 236.438 271.031 538.101 1,087.280 23 25.716 28.845 32.453 36.618 41.430 46.998 53.436 60.893 69.532 79.543 91.148 104.603 120.206 138.297 159.276 183.601 211.801 244.487 282.362 326.237 673.626 1,398.464 24 26.973 30.422 34.426 39.083 44.502 50.816 58.177 68.765 76.790 88.497 102.174 118.155 138.831 158.659 184.168 213.978 248.80B 289.494 337.010 392.484 843.033 1,806.003 25 28.243 32.030 36.459 41.846 47.727 54.865 63.249 73.106 84.701 98.347 114.413 133.334 155.620 181.871 212.793 249.214 292.105 342.603 402.042 471.981 1,054.791 2,348.803 28 29.526 33.671 38.553 44.312 51.113 59.156 68.676 79.954 93.324 109.182 127.999 150.334 176.850 208.333 245.712 290.088 342.763 406.272 479.431 567.377 1,319.489 3,054.444 27 30.821 35.344 40.710 47.084 54.669 63.706 74.484 87.351102.723121.100 143.079 169.374 200.841 238.499 283.569 337.502 402.032 479.221 571.522 681.853 1,650.361 3,971.778 28 32.129 37.051 42.931 49.968 58.403 68.528 80.698 95.339112.988 134.210 159.817 190.699 227.950 272.889 327.104 392.503 471.378 568.481 681.112 819.223 2,063.952 5,164.311 29 33.450 38.792 45.219 52.988 62.323 73.840 87 347103.986124.135 148.631 178.397 214.583 258.583 312.094 377.170 456.303 552.512 669.447 811.523 984.088 2,580.939 6,714.604 30 34.785 40.568 47.575 56.085 66.439 79.058 94.461113.283136.308 164.494 199.021 241.333 293.199 356.787 434.745 530.312 647.439 790.948 968.712 1,181.882 3,227.174 8,729.985 35 41.680 49.994 60.462 73.652 90.320111.435138.237172.317215.711271.024 341.590 431.663 546.681 693.573 891.170 1,120.7131,426.491 1,816.6522,314.214 2.948.341 9.858.761 32.422.888 40 48.888 60.402 75.401 95.026 120.800154.762199.636259.057337.882 442.593 581.826 767.091 1,013.7041,342.025 1,779.090 2,360.7573,134.522 4.163.2135,529.829 7,343.858 30.088.655 120,392.883 Note: All factors are rounded to the nearest 1/1000 in order to agree with values used in the text. Table of Present Value Factors Instructions: To use this table, find the present value factor that corresponds to both a given time period (year) and an interest rate. For example, if you want the present value factor for 25 years and 7%, move across from year 25 and down from 7% to the point at which the row and column intersect: .184. Other illustrations: for 3 years and 15%, the proper present value factor is.658; for 30 years and 8%, it is.099. INTEREST RATE 17% 19% 19% 20% 25% 30% 1 0.856 0.847 0.B40 0.833 0.800 0.731 0.718 0.706 0.894 0.640 0.624 0.009 0.593 0.579 0.769 0.592 0.455 0.350 0.269 0.534 0.516 0.499 0.512 0.410 0.328 0.482 0.456 0.437 0.419 0.402 0.390 0.370 0.362 0.335 0.262 0.207 0.333 0.314 0.296 0.279 0.210 0.159 0.286 0.268 0.225 0.249 0.209 0.233 0.168 0.123 0.194 0.134 0.094 0.845 0.243 0.270 0.208 0.191 0.176 0.162 0.107 0.073 0.178 0.162 0.148 0.135 0.096 0.056 0.152 0.137 0.124 0.130 0.116 0.104 0.099 0.088 0.111 0.096 0.081 0.084 0.074 0.112 0.069 0.043 0.093 0.055 0.033 0.078 0.044 0.025 0.085 0.035 0.020 0.054 0.028 0.015 0.045 0.023 0.012 0.038 0.018 0.009 0.071 0.062 Period 1% 2% 3% 4% 5% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.909 0.901 0.893 0.885 0.877 0.870 0.862 2 0.980 0.961 0.943 0.925 0.907 0.890 0.873 0.857 0.842 0.826 0.B12 0.797 0.783 0.769 0.756 0.743 3 0.971 0.942 0.915 0.889 0.864 0.840 0.816 0.794 0.772 0.751 0.731 0.712 0.693 0.675 0.658 0.641 4 0.961 0.924 0.889 0.855 0.823 0.792 0.763 0.735 0.708 0.683 0.659 0.636 0.613 0.592 0.572 0.552 5 0.961 0.906 0.863 0.822 0.784 0.747 0.713 0.681 0.650 0.621 0.583 0.567 0.543 0.519 0.497 0.478 6 0.942 0.889 0.837 0.790 0.746 0.705 0.668 0.630 0.596 0.584 0.535 0.507 0.480 0.456 0.432 0.410 7 0.933 0.871 0.813 0.760 0.711 0.685 0.623 0.583 0.547 0.513 0.482 0.452 0.425 0.400 0.376 0.354 8 0.923 0.853 0.789 0.731 0.677 0.627 0.582 0.540 0.502 0.467 0.434 0.404 0.376 0.351 0.327 0.306 9 0.914 0.837 0.766 0.703 0.592 0.544 0.500 0.460 0.424 0.391 0.361 0.333 0.30B 0.284 0.263 10 0.905 0.820 0.744 0.676 0.614 0.558 0.508 0.463 0.422 0.385 0.352 0.322 0.295 0.247 0.227 11 0.996 0.804 0.722 0.650 0.585 0.527 0.475 0.429 0.388 0.350 0.317 0.287 0.261 0.237 0.215 0.196 12 0.887 0.789 0.701 0.625 0.557 0.497 0.444 0.397 0.356 0.319 0.288 0.257 0.231 0.20B 0.187 0.168 13 0.879 0.773 0.681 0.601 0.530 0.409 0.415 0.388 0.326 0.290 0.258 0.229 0.204 0.182 0.163 0.145 14 0.870 0.750 0.681 0.577 0.505 0.442 0.388 0.340 0.299 0.263 0.232 0.205 0.181 0.160 0.141 0.125 15 0.861 0.743 0.642 0.555 0.481 0.417 0.362 0.315 0.275 0.239 0.209 0.183 0.160 0.140 0.123 0.108 16 0.853 0.728 0.623 0.534 0.458 0.394 0.339 0.292 0.252 0.218 0.188 0.163 0.141 0.123 0.107 0.093 17 0.944 0.714 0.605 0.513 0.436 0.371 0.317 0.270 0.231 0.198 0.170 0.146 0.125 0.10B 0.093 0.030 18 0.838 0.700 0.587 0.494 0.416 0.350 0.296 0.250 0.212 0.180 0.153 0.130 0.111 0.095 0.081 0.069 19 0.828 0.688 0.570 0.475 0.398 0.331 0.277 0.232 0.194 0.164 0.139 0.116 0.098 0.083 0.070 0.060 20 0.820 0.673 0.554 0.458 0.372 0.312 0.258 0.215 0.178 0.149 0.124 0.104 0.087 0.073 0.061 0.051 21 0.811 0.680 0.538 0.439 0.350 0.294 0.242 0.199 0.164 0.125 0.112 0.093 0.077 0.064 0.063 0.044 22 0.803 0.647 0.522 0.422 0.342 0.278 0.226 0.184 0.150 0.123 0.101 0.083 0.068 0.066 0.046 0.038 23 0.795 0.634 0.507 0.406 0.326 0.262 0.211 0.170 0.138 0.112 0.091 0.074 0.000 0.049 0.040 0.033 24 0.788 0.622 0.492 0.390 0.310 0.247 0.197 0.158 0.126 0.102 0.082 0.068 0.063 0.043 0.035 0.028 25 0.780 0.610 0.478 0.375 0.295 0.233 0.184 0.146 0.116 0.092 0.074 0.069 0.047 0.038 0.030 0.024 26 0.772 0.599 0.464 0.361 0.281 0.220 0.172 0.135 0.106 0.084 0.088 0.063 0.042 0.033 0.026 0.021 27 0.764 0.588 0.450 0.347 0.268 0.207 0.161 0.125 0.098 0.076 0.080 0.047 0.037 0.029 0.023 0.018 28 0.757 0.574 0.437 0.333 0.255 0.198 0.150 0.116 0.090 0.069 0.064 0.042 0.033 0.026 0.020 0.016 29 0.749 0.563 0.424 0.321 0.243 0.185 0.141 0.107 0.0B2 0.063 0.048 0.037 0.029 0.022 0.017 0.014 30 0.742 0.552 0.412 0.300 0.231 0.174 0.131 0.099 0.075 0.067 0.044 0.083 0.026 0.020 0.015 0.012 36 0.706 0.500 0.355 0.253 0.181 0.130 0.094 0.068 0.049 0.036 0.026 0.019 0.014 0.010 0.008 0.006 40 0.872 0.453 0.307 0.208 0.142 0.097 0.067 0.046 0.032 0.022 0.015 0.011 0.00B 0.005 0.004 0.003 *Present value factor is zero to three decimal places. Note: All factors are rounded to the nearest 1/1000 in order to agree with values used in the text. Table of Present Value Annuity Factors 0.060 0.069 0.059 0.062 0.044 0.051 0.051 0.043 0.037 0.031 0.007 0.014 0.012 0.043 0.031 0.026 0.006 0.037 0.031 0.004 0.037 0.032 0.026 0.022 0.022 0.018 0.009 0.007 0.026 0.003 0.027 0.018 0.015 0.006 0.002 0.022 0.019 0.023 0.015 0.013 0.005 0.002 0.020 0.016 0.013 0.010 0.004 0.001 0.003 0.001 0.017 0.014 0.011 0.001 0.014 0.012 0.002 0.002 0.010 0.001 0.011 0.009 0.009 0.007 0.008 0.006 0.006 0.005 0.005 0.004 0.002 0.002 0.011 0.008 0.002 0.001 0.007 0.009 0.004 0.003 0.002 0.001 0.001 0.001 Table of Present Value Annuity Factors Instructions: To use this table, find the present value of annuity factor that corresponds to both a given time period (year) and an interest rate. For exam- ple, if you want the present value of annuity factor for 30 years and 7%, move across from year 30 and down from 7% to the point at which the row and column intersect: 12.409. Other illustrations: for 3 years and 15%, the proper present value of annuity factor is 2.283; for 30 years and 8%, it is 11.258. INTEREST RATE Period 2% 5% 8% 10% 11% 12% 15% 16% 17% 18% 19% 20% 25% 30% 9% 0.917 13% 0.885 14% 0.877 1 0.990 0.980 0.971 0.962 0.962 0.935 0.926 0.909 0.901 0.893 0.870 0.882 0.855 0.847 0.840 0.833 0.800 0.769 0.943 1.833 2 1.970 1.942 1.913 1.896 1.859 1.808 1.783 1.759 1.736 1.713 1.690 1.668 1.647 1.626 1.605 1.585 1.566 1.547 1.528 1.440 1.361 3 2.941 2.894 2.829 2.775 2.723 2.673 2.624 2.577 2.531 2.487 2.444 2.402 2.361 2.322 2.283 2.246 2.210 2.174 2.140 2.106 1.962 1.816 4 3.902 3.808 3.717 3.630 3.546 3.465 3.397 3.312 3.170 3.102 3.037 2.974 2.914 2.855 2.798 2.743 2.690 2.639 2.589 2.382 2.166 3.240 3.890 5 4.853 4.713 4.580 4.452 4.329 4.212 4.100 3.993 3.791 3.698 3.605 3.517 3.433 3.352 3.274 3.199 3.127 3.05B 2.991 2.689 2.436 6 5.796 5.801 5.417 5.242 5.076 4.917 4.787 4.623 4.496 4.355 4.231 4.111 3.998 3.989 3.784 3.685 3.589 3.498 3.410 3.326 2.961 2.643 6.728 6.472 6.230 6.002 6.788 5.582 5.399 5.206 5.033 4.968 4.712 4.564 4.423 4.288 4.160 4.039 3.922 3.812 3.706 3.605 3.161 2.802 8 7.652 7.020 6.210 5.971 5.747 5.535 5.335 5.146 4.968 4.799 4.639 4.487 4.344 4.207 4.078 3.964 3.837 3.329 2.925 7.325 8.162 6.733 7.435 6.463 7.108 9 8.586 7.786 6.802 6.515 6.247 5.995 5.759 5.537 5.328 5.132 4.946 4.772 4.607 4.451 4.303 4.163 4.031 3.463 3.019 10 9.471 8.983 8.530 8.111 7.722 6.710 6.145 5.889 5.650 5.426 5.216 5.019 4.833 4.659 4.494 4.339 4.192 3.571 7.380 7.887 7.024 7.499 6.418 6.805 3.092 3.147 11 10.368 9.787 9.253 8.760 7.139 6.495 6.207 5.938 5.687 5.453 5.234 5.029 4.836 4.656 4.486 4.327 3.666 12 11.255 9.954 8.394 8.306 8.883 9.394 7.943 7.161 6.492 5.421 4.988 4.793 4.611 4.439 10.575 11.348 3.725 9.385 9.986 7.536 7.904 6.814 7.103 6.194 6.424 5.918 6.122 5.660 5.842 5.197 5.342 3.190 3.223 13 12.134 10.635 8.853 8.358 7.487 6.750 5.583 5.118 4.910 4.715 4.533 3.780 14 13.004 12.106 11.296 10.563 9.899 9.295 8.745 8.244 7.796 7.367 6.982 6.628 6.302 6.002 5.724 5.46B 5.229 6.00B 4.802 4.611 3.824 3.249 15 13.865 12.849 11.938 11.118 10.380 9.712 9.108 8.559 8.081 7.606 7.191 6.811 6.462 6.142 5.847 5.575 5.324 5.092 4.876 4.675 3.859 3.268 16 14.718 13.578 12.561 11.652 10.838 10.106 9.447 8.851 8.313 7.824 7.379 6.974 6.604 6.265 5.964 5.668 5.405 5.162 4.730 3.887 3.283 4.938 4.990 17 15.562 14.292 13.166 12.166 11.274 10.477 9.783 9.122 8.544 8.022 7.549 6.729 6.373 6.047 5.475 5.222 4.775 3.910 3.295 7.120 7.250 5.749 5.818 18 16.396 14.992 13.754 12.659 11.690 10.828 10.059 9.372 8.756 8.201 7.702 6.840 6.467 6.128 5.534 5.273 5.033 4.812 3.928 3.304 19 17.226 15.678 14.324 13.134 12.095 11.15B 10.336 9.604 8.950 8.365 7.839 7.368 6.938 6.550 6.198 5.877 5.584 6.316 5.070 4.843 3.942 3.311 20 18.046 16.351 14.877 13.590 12.462 11.470 10.594 9.818 9.129 8.514 7.963 7.469 7.025 6.623 6.259 5.929 5.628 5.353 5.101 4.870 3.964 3.316 8.849 B.075 7.562 7.102 6.687 6.312 5.973 5.665 5.384 4.891 3.963 3.320 5.127 5.149 8.772 8.176 7.645 7.170 6.743 6.359 6.011 5.696 5.410 4.909 3.970 3.323 8.883 8.286 7.718 7.230 6.792 6.399 6.044 6.723 5.167 4.925 3.976 3.325 5.432 5.451 8.985 8.348 7.784 7.283 6.835 6.434 6.073 5.746 5.182 4.937 3.981 3.327 8.422 7.843 7.330 6.464 6.097 5.766 5.467 5.195 4.948 3.985 9.077 9.161 8.488 7.898 7.372 6.491 6.118 5.783 5.480 5.206 4.966 3.988 21 18.857 17.011 15.415 14.029 12.821 11.784 10.836 10.017 9.292 22 19.860 17.658 15.937 14.451 13.163 12.042 11.061 10.201 9.442 23 20.456 18.292 16.444 14.857 13.489 12.303 11.272 10.371 9.580 24 21.243 18.914 16.936 15.247 13.799 12.550 11.469 10.529 9.707 25 22.023 19.523 17.413 15.622 14.094 12.783 11.654 10.675 9.823 26 22.795 20.121 17.877 15.993 14.375 13.003 11.826 10.810 9.929 27 23.560 20.707 18.327 16.330 14.843 13.211 11.997 10.935 10.027 28 24.316 21.281 18.784 16.683 14.898 13.406 12.137 11.051 10.116 29 25.086 21.844 19.188 16.994 15.141 13.591 12.278 11.158 10.198 30 25.80B 22.396 19.600 17.292 15.372 13.765 12.409 11.258 10.274 35 29.409 24.999 21.487 18.885 16.374 14.498 12.948 11.655 10.567 40 32.835 27.355 23.115 19.793 .159 15.046 13.332 11.925 10.757 Note: All factors are rounded to the nearest 1/1000 in order to agree with values used in the text. 8.873 8.908 6.935 6.961 3.329 3.330 3.331 9.237 8.548 7.943 7.409 6.514 6.136 5.798 5.492 5.215 4.964 3.990 9.307 B.602 7.984 6.534 6.152 5.810 5.223 4.970 3.992 3.331 7.441 7.470 5.502 5.510 9.370 8.650 8.022 6.983 6.551 6.166 5.820 5.229 4.975 3.994 3.332 9.427 8.894 8.055 7.498 7.003 6.566 6.177 5.829 5.517 5.235 4.979 3.995 3.332 9.844 8.955 8.176 7.586 7.070 6.617 6.215 5.858 5.539 5.251 4.992 3.998 3.333 9.779 1951 8.244 7.634 7.105 1.842 6.233 5.871 6.548 5.258 4.997 3.999 3.333 ustin Miller wishes to have $400,000 in a retirement fund 20 years from now. He can create the retirement fund by making a single lump-sum deposit today. Use next table to solve the following problems. a. If upon retirement in 20 years, Austin plans to invest $400,000 in a fund that earns 5%, what is the maximum annual withdrawal he can make over the following 15 years? Round the answer to the nearest cent. Round PVA-factor to three decimal places. Calculate your answer based on the PVA-factor. $ Calculate your answer based on the financial calculator. $ b. How much would Austin need to have on deposit at retirement in order to withdraw $45,000 annually over the 15 years if the retirement fund earns 5%? Round the answer to the nearest cent. Round PVA-factor to three decimal places. Calculate your answer based on the PVA-factor. Calculate your answer based on the financial calculator. $ C. To achieve his annual withdrawal goal of $45,000 calculated in part b, how much more than the amount calculated in part a must Austin deposit today in an investment earning 5% annual interest? Round PVA-factor to three decimal places. Round your answer to the nearest cent. If an amount is zero, enter "o". $