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 $225,000 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 15 equal annual installments (from age 25 to age 40) into a fairly risky Investment fund that you expect will earn 10% 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 $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: A. You need to have for loss 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 O B. 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 C. You need to have the same amount accumulated as you will withdraw because you will not eam further interest on your investment when you reach retirement D. None of the above Present Value of $1 Periods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 14% 15% 16% 18% 20% Period 1 10.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.909 0.893 0.877 0.870 0.862 0.847 0.833 Period 2 0.980 0.961 0.943 0.925 0.907 0.890 0.873 0.857 0.842 0.826 0.797 0.769 0.756 0.743 0.718 0.694 Period 3 0.971 0.942 0.915 0.889 0.864 0.840 0.816 0.794 0.772 0.751 0.712 0.675 0.658 0.641 0.609 0.579 Period 4 0.961 0.924 0.888 0.855 0.823 0.792 0.763 0.735 0.708 0.683 0.636 0.592 0.572 0.552 0.516 0.482 Period 5 0.951 0.906 0.863 0.822 0.784 0.747 0.713 0.681 0.650 0.621 0.567 0.519 0.497 0.476 0.437 0.402 Period 6 0.942 0.888 0.837 0.790 0.746 0.705 0.6660.630 0.596 0.564 0.507 0.456 0.432 0.410 0.370 0.335 Period 7 0.933 0.871 0.813 0.760 0.7110.665 0.623 0.5830.547 0.513 0.452 0.400 0.376 0.354 0.3140279 Period 8 0.923 0.853 0.789 0.731 0.677 0.627 0.582 0.540 0.502 0.467 0.4040.351 0.327 0.305 0.266 0.233 Period 9 0.914 0.837 0.766 0.703 0.645 0.592 0.544 0.500 0.460 0.424 0.361 0.308 0.284 0.263 0.225 0.194 Period 10 0.905 0.820 0.744 0.676 0.614 0.558 0.508 0.463 0.422 0.386 0,322 0.270 0.2470 227 0.191 0.162 Period 11 0.896 0.804 0.722 0.650 0.585 0.527 0.475 0.429 0.3880 350 0.287 0237 0.215 0.195 0.162 0.135 Period 12 0.887 0.788 0.701 0.625 0.557 0.497 0.444 0.397 0.356 0.319 0.257 0.208 0.187 0.168 0.1370.112 Period 13 0.879 0.773 0.681 0.601 0.530 0.469 0.415 0.368 0.326 0.290 0.229 0.182 0.163 0.145 0.116 0.093 Period 14 0.870 0.758 0.661 0.577 0.505 0.442 0.388 0.340 0.299 0.263 0.2050.1600.141 0.125 0.099 0.078 Period 15 0.861 0.743 0.642 0.555 0.481 0.417 0.362 0.315 0.275 0.239 0.183 0.140 0.123 0.108 0.084 0.065 Period 16 0.853 0.728 0.623 0.534 0.458 0.394 0.339 0.292 0.252 0.218 0.163 0.123 0.107 0.093 0.071 0.054 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 0.060 0.043 0.031 Period 20 0.820 0.673 0.554 0.456 0.377 0.312 0.258 0.215 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 0.199 0.164 0.135 0.093 0.064 0.053 0.044 0.031 0.022 Periods Period 1 Period 2 Period 3 Period 4 Period 5 Period 6 Period 7 Period 8 Period 9 Period 10 Period 11 Period 12 Period 13 Period 14 Period 15 Future Value of $1 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 14% 15% 1.010 1.020 1.030 1.040 1.050 1.060 1.070 1.080 1.090 1.100 1.120 1.140 1.150 1.020 1.040 1.061 1.0821.103 1.124 1.145 1.166 1.188 1.210 1.254 1.300 1.323 1.030 1.061 1.093 1.125 1.158 1.191 1.225 1.260 1.295 1.331 1.405 1.482 1.521 1.041 1.082 1.126 1.170 1.216 1.262 1.311 1.360 1.412 1,464 1.574 1.689 1.749 1.051 1.104 1.159 1.217 1.276 1.338 1.403 1.469 1.539 1.611 1.762 1.925 2.011 1.062 1.126 1.194 1.265 1.340 1.419 1.501 1.587 1.677 1.772 1.974 2.195 2.313 1.072 1.149 1.230 1.316 1.407 1.504 1.606 1.714 1.828 1.949 2.211 2.502 2.660 1.083 1.172 1.267 1.369 1.477 1.594 1.718 1.851 1.993 2.144 2.476 2.853 3.059 1.894 1.195 1.305 1423 1.551 1.689 1.838 1.999 2.172 2.3582.773 3.252 3.518 1.105 1.219 1.344 1.480 1.629 1.791 1.967 2.159 2.367 2.594 3.106 3.707 4.046 1.116 1.243 1.384 1.539 1.710 1.898 2.105 2.332 2.580 2.853 3.479 4.226 4.652 1.127 1.268 1.426 1.601 1.796 2.012 2.252 2.518 2.813 3.138 3.896 4.818 5.350 1.138 1.294 1.469 1.665 1.886 2.133 2.410 2.720 3.066 3.452 4.363 5.492 6.153 1.149 1.319 1.513 1732 1.980 2.261 2.579 2.937 3.342 3.798 4.887 6.261 7.076 1.161 1.346 1.558 1.801 2.079 2.397 2.759 3.172 3.642 4.177 5.474 7.138 8.137 1.173 1.373 1.605 1.873 2.183 2.540 2.952 3.426 3.970 4,595 6.130 8.137 9.358 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 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 2.107 2.527 3.026 3.617 4.316 5.1426.116 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 1.232 1.516 1.860 2.279 2.786 3.400 4.141 5.034 6.1097.400 10.80 15.67 18.82 Period 16 Period 17 Period 18 Period 19 Period 20 Period 21 BE Future Value of Ordinary Annuity of $1 Periods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 14% 15% Period 1 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 Period 2 2.010 2.020 2.030 2040 2.050 2.060 2.070 2.080 2.090 2.100 2.120 2.140 2.150 Period 3 3.030 3.060 3.091 3.122 3.153 3.1843.215 3.246 3.278 3.310 3.374 3.440 3.473 Period 4 4.060 4.122 4.184 4.246 4.310 4.375 4.440 4.506 4.573 4.641 4.779 4.921 4.993 Period 5 5.101 5.204 5.309 5.416 5.526 5.637 5.751 5.867 5.985 6.105 6.353 6.610 6.742 Period 6 6.152 6.308 6.468 6.633 6.802 6.975 7.153 7.336 7.523 7.716 8.115 8.536 8.754 Period 7 7.214 7.434 7.662 7.898 8.142 8.394 8.654 8.9239.2009.487 10.09 10.73 11.07 Period 8 8.286 8.583 8.892 9.214 9.549 9.897 10.260 10.64 | 11.03 11.44 12.30 13.23 13.73 Period 9 9.869 9.755 10.16 10.58 11.03 11.49 11.98 12.49 13.02 13.58 14.78 16.09 16.79 Period 10 10.46 10.95 11.46 12.01 12.58 13.18 13.82 14.49 15.19 15.94 17.55 19.34 20.30 Period 11 11.57 12.17 12,8113.49 14.21 14.97 15.78 16.65 17.56 18.53 20.65 23.04 24.35 Period 12 12.68 13.41 14.19 15.03 15.92 16.87 17.89 18.98 20.14 21.38 24.13 27.27 29.00 Period 13 13.81 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 16.10 17.29 18.60 20.02 21.58 23.28 25.13 27.15 29.36 31.77 37.28 43.84 47.58 Period 16 17.26 18.64 20.16 21.82 23.66 25.67 27.89 30.32 33.00 35.95 42.75 50.98 55.72 Period 17 18.43 20.01 21.76 23.70 25.84 28.21 30.84 33.75 36.97 40.54 48.88 59.12 65.08 Period 18 19.61 21.41 23.41 25.65 28.13 30.91 34.00 37.45 41.30 45.60 55.75 68.39 75.84 Period 19 20.81 22.84 25.12 27.67 30.54 33.76 37.38 41.45 46.02 51.16 63.44 78.97 88.21 Period 20 22.02 24,30 26.87 29.7833.07 36.79 41.00 45.76 51.16 5728 72.05 91.02 102.4 Period 21 23.24 25.78 28.68 31.97 35.72 39.99 44.87 50.42 56.76 64.00 81.70 104.8 118.8 Present Value of Ordinary Annuity of $1 Periods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 14% 15% 16% 18% 20% Period 1 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.909 0.893 0.877 0.870 0.862 0.847 0.833 Period 2 1.970 1.942 1.913 1.886 1.859 1.833 1.808 1.783 1.759 1.736 1.690 1.647 1.626 1.605 1.566 1.528 Period 3 2.941 2.884 2.829 2.775 2.723 2.673 2.624 2.577 2.531 2.487 2.402 2.322 2283 2.246 2.174 2.106 Period 4 3.902 3.808 3.717 3.630 3.546 3.465 3.387 3,312 3.240 3.170 3,037 2.914 2.855 2.798 2.690 2.589 Period 5 4.853 4.713 4.580 4.452 4.329 4212 4.100 3.993 3.890 3.791 3.605 3.433 3.352 3.274 3.127 2.991 Period 6 5.795 5.601 5.417 5.242 5.076 4.917 4.767 4.623 4.486 4.355 4.111 3.8893.784 3.685 3.498 3.326 Period 7 6.728 6.472 6.230 6.002 5.786 5.582 5.389 5.206 5,033 4.868 4.564 4.288 4.160 4.039 3.812 3.605 Period 8 7.652 7.325 7.020 6.733 6.463 6.210 5.971 5.747 5.535 5.335 4.968 4.639 4.487 4344 4.078 3.837 Period 9 8.566 8.162 -7.786 7.435 7.108 6.802 6.515 6.247 5.995 5.759 5.328 4.946 4.772 4.607 4.303 4.031 Period 10 9.471 8.9838.530 8.111 7.722 7360 7.024 6.710 6.418 6.145 5.650 5.216 5.019 4.833 4.494 4.192 Period 11 10.368 9.787 9.253 8.760 8.306 7.887 7.499 7.139 6.805 6.495 5.938 5.453 5.234 5.029 4.656 4327 Period 12 11.255 10.575 9.954 9.385 8.863 8.384 7.943 7.536 7.161 6.814 6.194 5.660 5.421 5.197 4.793 4439 Period 13 12.134 11.348 10.635 9.986 9.394 8.853 8.358 7.904 7.487 7.103 6.424 5.8425,583 5.342 4.910 4.533 Period 14 13.004 12.106 11.296 10.563 9.899 9.295 8.745 8.244 7.786 7.367 6.628 6.002 5.724 5.468 5.008 4.611 Period 15 13.865 12.849 11.938 11.118 10.380 9.712 9.108 8.559 8.0617606 6.811 6.142 5.847 5.575 5.092 4.675 Period 16 14.718 13.578 12.561 11.652 10.838 10.106 9.447 8.851 8.313 7.824 6.9746.265 5.954 5.6695.162 4.730 Period 17 15.562 14.292 13.166 12.166 11 274 10.477 9.763 9.122 8.544 8.022 7.1206.373 6.047 5.749 5.222 4.775 Period 18 16.398 14.992 13.754 12.659 11.690 10.828 10.0599.372 8.756 8.201 7.250 6.467 6.128 5.818 5.273 4.812 Period 19 17226 15.678 14.324 13.134 12.085 11.158 10.336 9.604 8.950 8.365 7.366 6.5506.198 5.877 5.316 4.844 Period 20 18.046 16.351 14.877 13.590 12.462 11.470 10.594 9.818 9.129 8.5147.469 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 9.292 8.6497.562 6.687 6.312 5.973 5.384 4.891