You are planning for a very early retirement. You would like to retire at age 40 and have enough money saved to be able to withdraw $240,000 per year for the next 30 years (based on family history, you think you will live to age 70). You plan to save by making 10 equal annual installments (from age 30 to age 40) into a fairly risky investment fund that you expect will earn 14% per year. You will leave the money in this fund until it is completely depleted when you are 70 years old. (Click the icon to view Present Value of $1 table.) ( Click the icon to view Present Value of Ordinary Annuity of $1 table.) (Click the icon to view Future Value of $1 table.) (Click the icon to view Future Value of Ordinary Annuity of $1 table.) Read the requirements. Requirement 1. How much money must you accumulate by retirement to make your plan work? (Hint: Find the present value of the $240,000 withdrawals.) (Round your final answer to the nearest whole dollar.) To make the plan work, you must accumulate $ 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: O A. You need to have the same amount accumulated as you will withdraw because you will not earn further interest on your investment when you reach retirement. B. You need to have far more accumulated than what you will withdraw because you will withdraw a large portion of the investment every yearthe balance remains invested where it continues to earn 14% interest. C. You need to have far less accumulated than what you will withdraw because you only withdraw a portion of the investment every yearthe balance remains invested where it continues to earn 14% interest. D. None of the above Reference Present Value of $1 Periods 1 2 1% 0.990 0.980 0.971 0.961 0.951 2% 0.980 0.961 0.942 0.924 0.906 3% 0.971 0.943 0.915 0.888 0.863 4% 0.962 0.925 0.889 0.855 0.822 5% 0.952 0.907 0.864 0.823 0.784 6% 0.943 0.890 0.840 0.792 0.747 7% 0.935 0.873 0.816 8% 0.926 0.857 0.794 0.735 0.681 9% 0.917 0.842 0.772 0.708 0.650 10% 0.909 0.826 0.751 0.683 0.621 12% 0.893 0.797 0.712 0.636 0.567 14% 0.877 0.769 0.675 0.592 0.519 15% 0.870 0.756 0.658 16% 0.862 0.743 0.641 0.552 0.476 18% 0.847 0.718 0.609 0.516 0.437 20% 0.833 0.694 0.579 0.482 0.402 3 0.763 0.572 4 5 0.713 0.497 0.564 0.456 6 7 8 9 10 0.942 0.933 0.923 0.914 0.905 0.888 0.871 0.853 0.837 0.820 0.837 0.813 0.789 0.766 0.744 0.790 0.760 0.731 0.703 0.676 0.746 0.711 0.677 0.645 0.614 0.705 0.665 0.627 0.592 0.558 0.666 0.623 0.582 0.544 0.508 0.630 0.583 0.540 0.500 0.463 0.596 0.547 0.502 0.460 0.422 0.513 0.467 0.424 0.386 0.507 0.452 0.404 0.361 0.322 0.400 0.351 0.308 0.270 0.432 0.376 0.327 0.284 0.247 0.410 0.354 0.305 0.263 0.227 0.370 0.314 0.266 0.225 0.191 0.335 0.279 0.233 0.194 0.162 11 12 13 14 15 0.896 0.887 0.879 0.870 0.861 0.804 0.788 0.773 0.758 0.743 0.650 0.625 0.601 0.577 0.585 0.557 0.530 0.505 0.481 0.458 0.436 0.527 0.497 0.469 0.442 0.417 0.475 0.444 0.415 0.388 0.429 0.397 0.368 0.340 0.315 0.388 0.356 0.326 0.299 0.275 0.350 0.319 0.290 0.263 0.239 0.287 0.257 0.229 0.205 0.183 0.237 0.208 0.182 0.160 0.215 0.187 0.163 0.141 0.123 0.195 0.168 0.145 0.125 0.108 0.162 0.137 0.116 0.099 0.084 0.135 0.112 0.093 0.078 0.065 0.555 0.362 0.722 0.701 0.681 0.661 0.642 0.623 0.605 0.587 0.570 0.554 0.140 0.728 0.339 0.317 0.714 16 17 18 19 20 0.853 0.844 0.836 0.828 0.820 0.700 0.534 0.513 0.494 0.475 0.456 0.416 0.394 0.371 0.350 0.331 0.312 0.296 0.292 0.270 0.250 0.232 0.215 0.252 0.231 0.212 0.194 0.178 0.218 0.198 0.180 0.164 0.149 0.163 0.146 0.130 0.116 0.104 0.123 0.108 0.095 0.083 0.073 0.107 0.093 0.081 0.070 0.061 0.093 0.080 0.069 0.060 0.051 0.071 0.060 0.051 0.043 0.037 0.054 0.045 0.038 0.031 0.026 0.686 0.673 0.396 0.377 0.277 0.258 21 22 23 0.811 0.803 0.795 0.660 0.647 0.634 0.538 0.522 0.507 0.439 0.422 0.406 0.359 0.342 0.326 0.294 0.278 0.262 0.242 0.226 0.211 0.199 0.184 0.170 0.164 0.150 0.138 0.135 0.123 0.112 0.093 0.083 0.074 0.064 0.056 0.049 0.053 0.046 0.040 0.044 0.038 0.033 0.031 0.026 0.022 0.022 0.018 0.015 Print Done Reference 1 12% 0.893 1.690 2.402 3.037 3.605 14% 0.877 1.647 2.322 2.914 3.433 15% 0.870 1.626 2.283 2.855 3.352 16% 0.862 1.605 2.246 2.798 18% 0.847 1.566 2.174 2.690 3.127 20% 0.833 1.528 2.106 2.589 3.791 3.274 2.991 4.111 4.564 4.968 5.328 5.650 3.889 4.288 4.639 4.946 5.216 3.784 4.160 4.487 4.772 5.019 3.685 4.039 4.344 4.607 4.833 3.326 3.605 3.837 4.031 4.192 6.515 Present Value of Ordinary Annuity of $1 Periods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.909 2 1.970 1.942 1.913 1.886 1.859 1.833 1.808 1.783 1.759 1.736 3 2.941 2.884 2.829 2.775 2.723 2.673 2.624 2.577 2.531 2.487 4 3.902 3.808 3.717 3.630 3.546 3.465 3.387 3.312 3.240 3.170 5 4.853 4.713 4.580 4.452 4.329 4.212 4.100 3.993 3.890 6 5.795 5.601 5.417 5.242 5.076 4.917 4.767 4.623 4.486 4.355 6.728 6.472 6.230 6.002 5.786 5.582 5.389 5.206 5.033 4.868 8 7.652 7.325 7.020 6.733 6.463 6.210 5.971 5.747 5.535 5.335 9 8.566 8.162 7.786 7.435 7.108 6.802 6.247 5.995 5.759 10 9.471 8.983 8.530 8.111 7.722 7.360 7.024 6.710 6.418 6.145 11 10.368 9.787 9.253 8.760 8.306 7.887 7.499 7.139 6.805 6.495 12 11.255 10.575 9.954 9.385 8.863 8.384 7.943 7.536 7.161 6.814 13 12.134 11.348 10.635 9.986 9.394 8.853 8.358 7.904 7.487 7.103 14 13.004 12.106 11.296 10.563 9.899 9.295 8.745 8.244 7.786 7.367 15 13.865 12.849 11.938 11.118 10.380 9.712 9.108 8.559 8.061 7.606 16 14.718 13.578 12.561 11.652 10.838 10.106 9.447 8.313 7.824 17 15.562 14.292 13.166 12.166 | 11.274 10.477 9.763 9.122 8.544 8.022 18 16.398 14.992 13.754 12.659 11.690 10.828 10.059 9.372 8.756 8.201 19 17.226 15.678 14.324 13.134 12.085 11.158 10.336 9.604 8.950 8.365 20 18.046 16.351 14.877 13.590 12.462 11.470 10.5949.818 9.129 8.514 21 18.857 17.011 15.415 14.029 12.821 11.764 10.836 10.017 9.292 8.649 22 19.660 17.658 15.937 14.451 13.163 12.042 11.061 10.201 9.442 8.772 23 20.456 18.292 16.444 14.857 13.489 12.303 11.272 10.371 9.580 8.883 3.498 3.812 4.078 4.303 4.494 4.656 4.793 4.910 5.008 5.092 5.938 6.194 6.424 6.628 6.811 5.453 5.660 5.842 6.002 6.142 5.234 5.421 5.583 5.724 5.847 5.029 5.197 5.342 5.468 5.575 4.327 4.439 4.533 4.611 4.675 8.851 4.730 6.974 7.120 7.250 7.366 7.469 6.265 6.373 6.467 6.550 6.623 5.954 6.047 6.128 6.198 6.259 5.669 5.749 5.818 5.877 5.929 5.162 5.222 5.273 5.316 5.353 4.775 4.812 4.844 4.870 7.562 7.645 7.718 6.687 6.743 6.792 6.312 6.359 6.399 5.973 6.011 6.044 5.384 5.410 5.432 4.891 4.909 4.925 Print Done Reference Future Value of $1 Periods 1 2 3 4 5 1% 1.010 1.020 1.030 1.041 1.051 2% 1.020 1.040 1.061 1.082 1.104 3% 1.030 1.061 1.093 1.126 1.159 4% 1.040 1.082 1.125 1.170 1.217 5% 1.050 1.103 1.158 1.216 1.276 6% 1.060 1.124 1.191 1.262 1.338 7% 1.070 1.145 1.225 1.311 1.403 8% 1.080 1.166 1.260 1.360 1.469 9% 1.090 1.188 1.295 1.412 1.539 10% 1.100 1.210 1.331 1.464 1.611 12% 1.120 1.254 1.405 1.574 1.762 14% 1.140 1.300 1.482 1.689 1.925 15% 1.150 1.323 1.521 1.749 2.011 6 7 8 9 10 1.062 1.072 1.083 1.094 1.105 1.126 1.149 1.172 1.195 1.219 1.194 1.230 1.267 1.305 1.344 1.265 1.316 1.369 1.423 1.480 1.419 1.504 1.594 1.689 1.791 1.501 1.606 1.718 1.838 1.967 1.587 1.714 1.851 1.999 2.159 1.677 1.828 1.993 2.172 2.367 1.772 1.949 2.144 2.358 2.594 1.974 2.211 2.476 2.773 3.106 2.195 2.502 2.853 3.252 3.707 2.313 2.660 3.059 3.518 4.046 1.340 1.407 1.477 1.551 1.629 1.710 1.796 1.886 1.980 2.079 11 12 13 14 15 1.116 1.127 1.138 1.149 1.161 1.243 1.268 1.294 1.319 1.346 1.384 1.426 1.469 1.513 1.558 1.539 1.601 1.665 1.732 1.801 1.898 2.012 2.133 2.261 2.397 2.105 2.252 2.410 2.579 2.759 2.332 2.518 2.720 2.937 3.172 2.580 2.813 3.066 3.342 3.642 2.853 3.138 3.452 3.798 4.177 3.479 3.896 4.363 4.887 5.474 4.226 4.818 5.492 6.261 7.138 4.652 5.350 6.153 7.076 8.137 16 17 18 19 20 1.173 1.184 1.196 1.208 1.220 1.373 1.400 1.428 1.457 1.486 1.605 1.653 1.702 1.754 1.806 1.873 1.948 2.026 2.107 2.191 2.183 2.292 2.407 2.527 2.653 2.540 2.693 2.854 3.026 3.207 2.952 3.159 3.380 3.617 3.870 3.426 3.700 3.996 4.316 4.661 3.970 4.328 4.717 5.142 5.604 4.595 5.054 5.560 6.116 6.727 6.130 6.866 7.690 8.613 9.646 8.137 9.276 10.58 12.06 13.74 9.358 10.76 12.38 14.23 16.37 21 22 23 1.232 1.245 1.257 1.516 1.546 1.577 1.860 1.916 1.974 2.279 2.370 2.465 2.786 2.925 3.072 3.400 3.604 3.820 4.141 4.430 4.741 5.034 5.437 5.871 6.109 6.659 7.258 7.400 8.140 8.954 10.80 12.10 13.55 15.67 17.86 20.36 18.82 21.64 24.89 Print Done Reference Periods 1 2 3 4 1% 1.000 2.010 3.030 4.060 5.101 2% 1.000 2.020 3.060 4.122 5.204 3% 1.000 2.030 3.091 4.184 5.309 Future Value of Ordinary Annuity of $1 4% 5% 6% 7% 8% 9% 1.000 1.000 1.000 1.000 1.000 1.000 2.040 2.050 2.060 2.070 2.080 2.090 3.122 3.153 3.184 3.215 3.246 3.278 4.246 4.310 4.375 4.440 4.506 4.573 5.416 5.526 5.637 5.751 5.867 5.985 10% 1.000 2.100 3.310 4.641 6.105 12% 1.000 2.120 3.374 4.779 6.353 14% 1.000 2.140 3.440 4.921 6.610 15% 1.000 2.150 3.473 4.993 6.742 5 6 7 8 6.152 7.214 8.286 9.369 10.46 6.308 7.434 8.583 9.755 10.95 6.468 7.662 8.892 10.16 11.46 6.633 7.898 9.214 10.58 12.01 6.802 8.142 9.549 11.03 12.58 6.975 8.394 9.897 11.49 13.18 7.153 8.654 10.260 11.98 13.82 7.336 8.923 10.64 12.49 14.49 7.523 9.200 11.03 13.02 15.19 7.716 9.487 11.44 13.58 15.94 8.115 10.09 12.30 14.78 17.55 8.536 10.73 13.23 16.09 19.34 8.754 11.07 13.73 16.79 20.30 9 10 11 12 13 14 15 11.57 12.68 13.81 14.95 16.10 12.17 13.41 14.68 15.97 17.29 12.81 14.19 15.62 17.09 18.60 13.49 15.03 16.63 18.29 20.02 14.21 15.92 17.71 19.60 21.58 14.97 16.87 18.88 21.02 23.28 15.78 17.89 20.14 22.55 25.13 16.65 18.98 21.50 24.21 27.15 17.56 20.14 22.95 26.02 29.36 18.53 21.38 24.52 27.98 31.77 20.65 24.13 28.03 32.39 37.28 23.04 27.27 32.09 37.58 43.84 24.35 29.00 34.35 40.50 47.58 16 17 18 19 20 17.26 18.43 19.61 20.81 22.02 18.64 20.01 21.41 22.84 24.30 20.16 21.76 23.41 25.12 26.87 21.82 23.70 25.65 27.67 29.78 23.66 25.84 28.13 30.54 33.07 25.67 28.21 30.91 33.76 36.79 27.89 30.84 34.00 37.38 41.00 30.32 33.75 37.45 41.45 45.76 33.00 36.97 41.30 46.02 51.16 35.95 40.54 45.60 51.16 57.28 42.75 48.88 55.75 63.44 72.05 50.98 59.12 68.39 78.97 91.02 55.72 65.08 75.84 88.21 102.4 21 22 23 23.24 24.47 25.72 25.78 27.30 28.85 28.68 30.54 32.45 31.97 34.25 36.62 35.72 38.51 41.43 39.99 43.39 47.00 44.87 49.01 53.44 50.42 55.46 60.89 56.76 62.87 69.53 64.00 71.40 79.54 81.70 92.50 104.6 104.8 120.4 138.3 118.8 137.6 159.3 Print Done