Periods 1% Period 1 2% 3% 0.990 0.980 0.971 4% 5% 6% 7% 8% 0.962 0.952 0.943 0.935 Period 2 0.980 0.961 0.943 0.925 0.907 0.890 0.873 Period 3 0.971 0.942 0.915 0.889 0.864 0.840 0.816 Period 4 0.961 0.924 0.888 0.855 0.823 0.792 0.763 0.735 Period 5 0.951 0.906 0.863 0.822 0.784 0.747 0.713 0681 Period 6 0.942 0.888 0.837 0.790 0.746 0.705 0.666 0.630 Period 7 0.933 0.871 0.813 0.760 0.711 0.665 0.623 0.583 Period 8 0.923 0.853 0.789 0.731 0.677 0.627 0.582 0.540 Period 9 0.914 0.837 0.766 0.703 0.645 0.592 0.544 0.500 Period 10 0.905 0.820 0.744 0.676 0.614 0.558 0.508 Period 16 0853 0.728 0.623 0.534 0.458 Period 11 0.896 0.804 0.722 0.475 Period 12 0.887 0.788 0.701 0.625 0.557 0.497 0.444 Period 13 0.879 0.773 0.681 0.601 0.530 0.469 0.415 Period 14 0.870 0.758 0.661 0.577 0.505 0.442 0.388 Period 15 0.861 0743 0.642 0.555 0.481 0417 0.362 0.394 0.650 0.585 0.527 Present Value of $1 9% 10% 12% 14% 15% 0.926 0.917 0.909 0.893 0.877 0.870 0.862 0.847 0.833 16% 18% 20% 0.857 0.842 0.826 0.797 0.769 0.756 0.743 0.718 0.694 0.794 0.772 0.751 0.712 0.675 0.658 0.641 0.609 0.579 0.708 0.683 0.636 0.592 0.572 0.552 0.516 0.482 0.650 0.621 0.567 0.519 0.497 0.476 0.437 0.402 0.596 0.564 0.507 0.456 0.432 0.410 0.370 0.335 0.547 0.513 0.452 0.400 0.376 0.354 0.314 0.279 0.502 0.467 0.404 0.351 0.327 0.305 0.266 0.233 0.460 0.424 0.361 0.308 0.284 0.263 0.225 0.194 0463 0.422 0.386 0.322 0.270 0247 0227 0.191 0.162 0.429 0.388 0.350 0.287 0.237 0.215 0.195 0.162 0135 0.397 0.356 0.319 0.257 0.208 0187 0.168 0.137 0.112 0.368 0.326 0.290 0229 0.182 0163 0.145 0.116 0.093 0.340 0.299 0.263 0.205 0.160 0.141 0125 0.099 0.078 0.315 0.275 0239 0.183 0.140 0.123 0.108 0.084 0.065 0339 0292 0252 0218 0163 0.1230107 nnos ante 0.199 0184 Period 17 0.844 0.714 | 0.605 0.513 0.436 0.371 0.317 0.270 0.231 0.198 0.146 0.108 0.093 0.080 0.060 0.045 Period 18 0.836 0.700 0.587 0.494 0.416 0.350 0.296 0.250 0.212 0.180 0.130 0.095 0.081 0.069 0.051 0.038 Period 19 0.828 0.686 0.570 0.475 0.396 0.331 0.277 0.232 0.194 0.164 0.116 0.083 0.070 0060 0.043 0.031 Period 20 0.820 0.673 0.554 0.456 0.377 0.312 0.258 0215 0.178 0.149 0.104 0.073 0.061 0.051 0.037 0.026 Period 21 0.811 0.660 0.538 0.439 0.359 0.294 0.242 0.164 0135 0.093 0.064 0053 0.044 0.031 0.022 Period 22 0.803 0.647 0.522 0.422 0.342 0.278 0226 0.150 0.123 0.083 0.056 0.046 0.038 0026 0.018 Period 23 0.795 0.634 0.507 0.406 0.326 0262 0211 0.170 0138 0.112 0.074 0.049 0.040 0.033 0.022 0.015 Period 24 0.788 0622 0492 0.390 0310 0247 0197 0.158 0.126 0.102 0066 0.043 0.035 0.028 0.019 0.013 Period 25 0,780 0610 0478 0376 0.295 0.233 0.184 0.146 0.116 0.092 0.059 0.038 0.030 0024 0.016 0.010 Period 26 0.772 0.598 0464 0361 0281 0220 0.172 Period 27 0.764 0.586 0.450 0.347 0.268 0.207 0.161 Period 28 0757 0574 0.437 0.333 0255 0.196 0150 Period 29 0,749 0 563 0424 0.321 0.243 0.185 0.141 Period 30 0.742 0.552 0412 0308 0.231 0174 0131 Period 40 0.672 0453 0.307 0.208 0.142 0097 0.067 Period 50 0.608 0.372 0228 0141 0.087 0054 0.034 0.135 0.106 0.084 0.053 0033 0026 0.021 0.014 0.009 0.125 0.098 0.076 0.047 0.029 0.023 0.018 0.011 0.007 0.116 0.090 0.069 0.042 0.026 0020 0.016 0.010 0.006 0.082 0.063 0037 0.022 0.017 0.014 0.008 0.005 0.075 0.057 0.033 0020 0015 0012 0.007 0.004 0.107 0.099 0.046 0021 0.032 0.022 0.011 0.005 0.004 0.003 0.001 0.001 0.013 0.009 0.003 0.001 0.001 0001 Future Value of $1 Periods 1% 2% 3% Period 1 1.010 1.020 Period 2 1.020 1.040 Period 3 1.030 1.061 Period 4 Period 5 Period 6 Period 7 Period 8 Period 9 Period 10 Period 11 Period 12 Period 13 Period 14 Period 15 4% 5% 6% 7% 8% 9% 12% 10% 1.030 1.040 1.050 1.060 1.070 1.080 1.090 1.100 1.061 1.082 1.103 1.124 1.145 1.166 1.188 1.210 1.093 1.125 1.158 1.191 1.225 1.260 1.295 1.331 1.041 1.082 1.126 1.170 1.216 1.262 1,311 1.360 1.412 1.464 1.051 1.104 1.159 1.217 1.276 1.338 1.403 1.469 1.539 1.611 1.062 1.126 1.194 1.265 1.072 1.149 1.230 1.316 1.407 1.504 1.606 1.083 1.172 1.267 1.369 1.477 1.594 1.718 1.094 1.195 1.305 1.423 1.551 1.689 1.838 1.999 2.172 2.358 1.105 1.219 1.344 1.480 1.629 1.791 1.967 2.159 2.367 2.594 1.116 1.243 1.127 1.268 1.138. 1.294 1.149 1.319 1161 1.346 1473 1372 14% 15% 1.120 1.140 1.150 1.254 1.300 1.323 1.405 1.482 1.521 1.574 1.689 1.749 1.762 1.925 2011 1.340 1.419 1.501 1.587 1.677 1.772 1.974 2.195 2313 1.714 1.828 1.949 2211 2502 2.660 1.851 1.993 2.144 2476 2.853 3.059 2.773 3.252 3.518 3.106 3.707 4.046 1.384 1.539 1.710 1.898 2.105 2.332 2580 2.853 1.426 1.601 1.796 2.012 2252 2.518 2813 3.138 1.469 1.665 1.886 2.133 2.410 2720 3.066 3.452 1.513 1.732 1.980 2.261 2.579 2.937 3.342 3.798 1.558 1.801 2.079 2.397 2.759 3.172 3.642 4.177 3.479 4.225 4.652 3.896 4818 5.350 4.363 5.492 6.153 4.887 6.261 7.076 5.474 7.138 8.137 460518732 183 2540 2.952 3.426 3.970 4.595 6.130 8.137 9358 Period 26 2.221 2.288 2.357 Period 30 Period 40 Period 50 Period 19 Period 20 Period 21 1.232 1.516 1.860 2.279 2.786 3.400 4.141 5.034 6.109 7.400 10.80 15.67 18.82 Period 22 1.245 1.546 1.916 2.370 2.925 3.604 4.430 5.437 6.659 8.140 12.10 17.86 21.64 Period 23 1.257 1.577 1.974 2.465 3.072 3.820 4.741 5.871 7258 8.954 13.55 20.36 24.89 Period 24 1.270 1.608 2.033 2.563 3.225 4.049 5.072 6.341 Period 25 1.282 1.641 2.094 2.666 3.386 4.292 5.427 6 848 1.295 1.673 2.157 2.772 3.556 4.549 5.807 7396 Period 27 1.308 1.707 2883 3.733 4.822 6.214 Period 28 1321 1.741 2.999 3.920 5.112 6.649 Period 29 1.335 1776 1.348 1.811 2427 1489 2.208 3.262 1.645 2.692 4 384 Period 17 1.184 1.400 1.653 1.948 2.292 2.693 3.159 3.700 4.328 5.054 6.866 9.276 10.76 Period 18 1.196 1.428 1.702 2.026 2.407 2.854 3.380 3.996 4.717 5.560 7.690 10.58 12.38 1.208 1.457 1.754 2107 2.527 3.026 3.617 4.316 5.142 6.116 8.613 12.06 14 23 1.220 1.486 1.806 2.191 2.653 3.207 3.870 4.661 5.604 6.727 9.646 13.74 16.37 7.911 9.850 15.18 23.21 28.63 310.83 8.623 10.83 17.00 26.46 32.92 9.399 11.92 19.04 30.17 37.86 7.988 10.25 13.11 21.32 34.39 43.54 8.627 11.17 14.42 23.88 39 20 50 07 3.119 4.116 5.418 7.114 3.243 4.322 5.743 7.612 4.801 7.040 10.29 14.97 21.72 31.41 45.26 7 107 11.47 18 42 29.46 46.90 74.36 117.4 9.317 12 17 15.86 26.75 44 69 57 58 10.06 13.27 17.45 29.96 50.95 66.21 93.05 188 9 257.9 289.0 700 2 1,084 Present Value of Ordinary Annuity of $1 7% 8% 9% 10% 12% 14% 15% 16% 18% 20% 0.962 0.943 0.935 0.926 0.917 0.909 0.893 0.877 0.870 0.862 0.847 0.833 1.859 1.833 1.808 1.783 1.759 1.736 1,690 1.647 1.626 1.605 1.566 1.528 2723 2.673 2.624 2.577 2531 2487 2402 2.322 2.283 2.246 2174 2.106 3.630 3.546 3.465 3.387 3.312 3.240 3.170 3.037 2914 2.855 2.798 2.690 2.589 4.452 4.329 4.212 4.100 3.993 3.890 3.791 3.605 3.433 3.352 3274 3.127 2.991 5.242 5.076 4.917 4.767 6.002 6.786 5.582 5.389 6.733 6.463 6210 5.971 7.435 7.108 6.802 6515 8.111 7.722 7.360 7.024 Periods 1% 2% 3% 4% 5% 6% Period 1 0.990 0.980 0.971 0.962 Period 2 1.970 1.942 1.913 1.886 Period 3 2.941 2.884 2.829 2.775 Period 4 Period 5 Period 6 Period 10 3.717 4.580 5.795 5.601 5.417 Period 7 6.728 6.472 6.230 Period 8 7.652 7.325 7.020 Period 9 8.566 8.162 7.786 9.471 8.983 8.530 3.902 3.808 4.853 4.713 Period 11 10.368 9.787 9.253 Period 12 11 255 10 575 9.954 Period 13 Period 14 Period 15 Period 16 12.134 11.348 10 635 13.004 12.106 11 296 13.865 12.849 11.938 14.718 13 578 12.561 4.623 4.486 4.355 4.111 3.889 3.784 3.685 3.498 3.325 5.206 5.033 4 868 4.564 4.288 4.160 4.039 3.812 3.605 5.747 5.535 5.335 4.968 4.639 4.487 4.344 4.078 3.837 6.247 5.995 5.759 5.328 4.946 4.772 4.607 4.303 4.031 6.710 6418 6.145 5.650 5.216 5.019 4.833 4.494 4.192 8.760 8.306 7.887 7.499 7.139 6.805 6.495 5.938 5 453 5.234 5.029 4.666 4.327 9.385 8.863 8.384 7.943 7.536 7.161 6.814 6.194 5.660 5.421 5.197 4.793 4.439 9.986 9.394 8.853 8.358 7.904 7487 7.103 6.424 5842 5.583 5.342 4.910 4.533 10.563 9.899 9.295 8.745 8.244 7.785 7.367 6628 6.002 5724 5.468 5.008 4.611 11.118 10.380 9712 9.108 8.559 8.061 7.606 6.811 6.142 5.847 5575 5092 4.675 11.652 10.838 10.106 9.447 8.851 8.313 7824 6.974 6265 5.954 5669 5.162 4730 Period 17 15.562 14.292 13.166 12.166 11.274 10 477 9.763 9.122 8.544 8.022 7.120 6.373 6.047 5749 5.222 4.775 Period 18 16.398 14.992 13.754 12.659 11.690 10 828 10.059 9.372 8.756 8.201 7.250 6.467 6.128 5.818 5.273 4.812 Period 19 17 226 15.678 14.324 13.134 12.085 11.158 10.336 9.604 8.950 8.365 7.366 6.550 6.198 5.877 5316 4.844 Period 20 18.046 16.351 14.877 13.590 12.462 11.470 10 594 9.818 9.129 8.514 7.469 6.623 6.259 5.929 5.353 4.870 Period 21 18.857 17.011 15.415 14.029 12.821 11.764 10.836 10.017 9292 8.649 7.562 6687 6.312 5.973 5.384 4.891 Period 22 19 660 17 658 15.937 14.451 13.163 12.042 11 061 10.201 9442 8.772 7645 6.743 6.359 6.011 5410 4.909 Period 23 20.456 18.292 16.444 14.857 13.489 12.303 11 272 10.371 9.580 8.883 7.718 6792 6.399 6044 5.432 4.925 Period 24 21.243 18.914 16.936 15.247 13.799 12.550 11.469 10.529 9.707 8985 7.784 6.835 6.434 6.073 5451 4.937 15.622 14.094 12.783 11.654 10.675 9.823 9.077 7.843 6.873 6.464 6.097 5.467 4.948 10.810 9.929 9.161 7.896 6.906 6.491 6.118 5.480 4.956 10.935 10.027 9.237 7.943 6935 6.514 6136 5492 4.964 11.061 10.116 9.307 7.984 6.961 6534 6 152 5502 4.970 11.168 10.198 9.370 8.022 6.983 6.551 6.166 5510 4.975 11.258 10.274 9427 8055 7.003 6.566 6.177 5517 4.979 11.925 10 757 9779 8.244 7.105 6642 6233 5548 4.997 12.233 10.962 9.915 Period 25 22.023 19 523 17 413 Period 26 22 795 20 121 17.877 15.983 Period 27 23 560 20.707 18 327 16.330 14.375 13.003 11 825 14.643 13.211 11.987 Period 28 24.316 21 281 18.764 16.663 14.898 13 406 12.137 Period 29 25 066 21 844 19.188 16.984 Period 30 25 808 22 396 19 600 17.292 Period 40 32.835 27 355 23 115 Period 50 39 196 31 424 25.730 15.141 13.691 12.278 15.372 13.766 12 409 19.793 17.159 15.046 13 332 21 482 18 256 15 762 13.801 8.304 7.133 6.661 6.246 5.554 4.999 Future Value of Ordinary Annuity of $1 Periods 1% Period 1 2% 3% 4% 5% 6% 1.000 1.000 1.000 1.000 1.000 1.000 Period 2 2010 2020 2030 2040 2.050 Period 3 3.030 3.060 3.091 3.122 3.153 Period 4 4.060 4.122 4.184 4.246 4.310 Period 5 5.101 5.204 5.309 5.416 5.526 Period 6 6.152 6.308 6.468 6.633 6.802 Period 7 7.214 7.434 7.662 7.898 8.142 Period 8 8.286 8.583 8.892 9.214 9.549 Period 9 9.369 9.755 10.16 10.58 11.03 Period 10 10.46 10.95 11.46 12.01 12.58 Period 11 11.57 Period 12 12.68 Period 13 13.81 12.17 12.81 13.49 14.21 14.97 7% 8% 9% 10% 12% 14% 1.000 1.000 1.000 1.000 1.000 1.000 1.000 2.060 2.070 2.080 2.090 2.100 2.120 2.140 2150 3.184 3.215 3.246 3.278 3.310 3.374 3.440 3.473 4.375 4.440 4.506 4.573 4.641 4.779 4.921 4.993 5.637 5.751 5.867 5.985 6.105 6.353 6.610 6.742 6.975 7.153 7.336 7.523 7.716 8.115 8.536 8.754 8.394 8.654 8.923 9.200 9.487 10.09 10.73 11.07 9.897 10.260 10.64 11.03 11.44 12.30 13.23 13.73 11.49 11.98 12.49 13.02 13.58 14.78 16.09 16.79 13.18 13.82 14.49 15.19 15.94 17.55 19.34 20.30 15.78 16.65 17.56 18.53 15% 20.65 23.04 24.35 13.41 14.19 15.03 15.92 16.87 17.89 18.98 20.14 21.38 24 13 27.27 29.00 14.68 15 62 16.63 17.71 18.88 20.14 21.50 22.95 24 52 28.03 32.09 34.35 Period 14 14.95 15.97 17.09 18.29 19.60 21.02 22.55 24.21 26 02 27.98 32.39 37.58 40 50 Period 15 Period 16 16.10 17.29 18.60 20 02 17.26 21.58 23.28 25.13 27.16 29 36 31.77 37 28 43.84 47 58 18 64 20.16 21.82 23.66 25.67 27.89 30.32 33.00 35 96 42.75 50.98 55.72 the Period 17 18.43 20.01 21.76 23.70 25.84 Period 18 19.61 21.41 23.41 25.65 28.13 28.21 Period 19 20.81 22.84 25.12 27.67 30.54 30.91 33.76 Period 20 22.02 24.30 26.87 29.78 33.07 Period 21 23.24 25.78 28.68 31.97 35.72 Period 22 24.47 27.30 30.54 34.25 38.51 Period 23 25.72 28.85 32.45 36.62 41.43 Period 24 26.97 30.42 34.43 39.08 44.50 Period 25 28.24 32.03 36.46 41.65 47.73 36.79 39.99 43.39 47.00 50.82 54.86 30.84 33.75 36.97 40.54 48.88 59.12 65.08 34.00 37.45 41.30 45.60 55.75 68.39 75.84 37.38 41.45 46.02 51.16 63.44 78.97 88.21 41,00 45.76 51.16 57.28 72.05 91.02 102.4 44.87 50.42 56.76 64.00 81.70 104.8 118.8 49.01 55.46 62.87 71.40 92.50 120.4 137.6 53.44 60.89 69.53 79.54 104.6 138.3 159.3 58.18 66.76 76.79 88.50 118.2 158.7 184.2 63.25 73.11 84.70 98.35 133.3 181.9 212.8 Period 26 29.53 33.67 38.55 44.31 51.11 59.16 68.68 79.95 93.32 109.2 150.3 208.3 245.7 Period 27 30.82 35.34 40.71 47.08 54.67 63.71 74 48 87.35 102.7 121.1 169.4 238.5 283.6 Period 28 32.13 37.05 42.93 49.97 58.40 68.53 80.70 95.34 113.0 134 2 190.7 272.9 327.1 Period 29 33.45 38.79 45 22 52.97 62.32 73.64 87.35 104.0 124.1 148 6 Period 30 34.78 40.57 47 58 56.08 66.44 79.06 94.46 113.3 136.3 154.5 214.6 312.1 377.2 241.3 356.8 434.7 Period 40 48.89 60.40 75.40 95.03 120 8 154.8 199.6 259.1 337.9 442.6 767.1 1,342 1,779 Period 50 64 46 84.58 112.8 162.7 2093 290 3 406.5 573 8 8161 1,164 2,400 4,995 7.218 Requirement 1. How much money must you accumulate by retirement to make your plan work? (Hint Find the present value of the $225,000 withdrawals) (Round your final answer to the nearest whole dollar) To make the plan work, you must accumulate this amount by retirement Requirement 2. How does this amount compare to the total amount you will withdraw from the investment during retirement? How can these numbers be so different? Over the course of your retirement you will be withdrawing However, by age 40 you only need to have invested These numbers are different because These numbers are different because OA. You need to have far more accumulated than what you will withdraw because you will withdraw a large portion of the investment every year the balance remains invested where it continues to earn 10% interest OB. You need to have far less accumulated than what you will withdraw because you only withdraw a portion of the investment every year-the balance remains invested where it continues to earn 10% interest OC. You need to have the same amount accumulated as you will withdraw because you will not earn further interest on your investiment when you reach retirement OD. None of the above