Assume you want to retire early at age 53. You plan to save using one of the following two strategies: (1) save $4,500 a year in an IRA beginning when you are 23 and ending when you are 53 (30 years) or (2) wait until you are 43 to start saving and then save $13,500 per year for the next 10 years. Assume you will eam the historic stock market average of 12% per year. (Click the icon to view the future value annuity factor table.) (Click the icon to view the future value factor table.) (Click the icon to view the present value annuity factor table.) (Click the icon to view the present value factor table.) Read the requirements Requirement 1. How much out-of-pocket cash will you invest under the two options? Calculate how much out-of-pocket cash you will invest under the two options. Option 1: $ Option 2: $ Requirement 2. How much savings will you have accumulated at age 53 under the two options? Calculate the total amount of savings that you will have accumulated at age 53 under the two options. (Round the savings to the nearest dollar amount.) Option 1: $ Option 2:$ Requirement 3. Explain the results. The strategy involving grows substantially larger over time. This is due to the fact that the savings are invested 7. so time does the work. Requirement 4. If you were to let the savings continue to grow for nine more years (with no further out-of-pocket investments), under each scenario, what will the investment be worth when you are age 62? Calculate the total amount of savings at age 62, with no further out-of-pocket investments, under each scenario. (Round the savings to the nearest dollar amount.) Option 1: $ Option 2:$ Enter any number in the edit fields and then continue to the next question. ? Reference Periods 1 2 3 4 5 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 4% 1.000 2.040 3.122 4.246 5.416 5% 1.000 2.050 3.153 4.310 5.526 Future Value of Annuity of $1 6% 8% 10% 1.000 1.000 1.000 2.060 2.080 2.100 3.184 3.246 3.310 4.375 4.506 4.641 5.637 5.867 6.105 12% 1.000 2.120 3.374 4.779 6.353 14% 1.000 2.140 3.440 4.921 6.610 16% 1.000 2.160 3.506 5.066 6.877 18% 1.000 2.180 3.572 5.215 7.154 9.442 12.142 15.327 19.086 23.521 20% 1.000 2.200 3.640 5.368 7.442 6 7 8 9 10 6.152 7.214 8.286 9.369 10.462 6.468 7.662 8.892 10.159 11.464 6.802 8.142 9.549 11.027 12.578 6.975 8.394 9.897 11.491 13.181 7.336 8.923 10.637 12.488 14.487 7.716 9.487 11.436 13.579 15.937 8.115 10.089 12.300 14.776 17.549 9.930 12.916 16.499 20.799 25.959 6.308 7.434 8.583 9.755 10.950 12.169 13.412 14.680 15.974 17.293 6.633 7.898 9.214 10.583 12.006 13.486 15.026 16.627 18.292 20.024 8.536 10.730 13.233 16.085 19.337 23.045 27.271 32.089 37.581 43.842 8.977 11.414 14.240 17.519 21.321 25.733 30.850 36.786 43.672 51.660 11 12 13 14 15 11.567 12.683 13.809 14.947 16.097 12.808 14.192 15.618 17.086 18.599 14.207 15.917 17.713 19.599 21.579 14.972 16.870 18.882 21.015 23.276 16.645 18.977 21.495 24.215 27.152 18.531 21.384 24.523 27.975 31.772 20.655 24.133 28.029 32.393 37.280 28.755 34.931 42.219 50.818 60.965 32.150 39.581 48.497 59.196 72.035 20 25 30 40 22.019 28.243 34.785 48.886 24.297 32.030 40.568 60.402 26.870 36.459 47.575 75.401 29.778 41.646 56.085 95.026 33.066 47.727 66.439 120.800 36.786 54.865 79.058 154.762 45.762 73.106 113.283 259.057 57.275 98.347 164.494 442.593 72.052 133.334 241.333 767.091 91.025 115.380 146.628 186.688 181.871 249.214 342.603 471.981 356.787 530.312 790.948 1,181.882 1,342.025 2,360.757 4,163.2137.343.858 Print Done i Reference Future Value of $1 16% Periods 1 2 1.160 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 5% 1.050 1.103 1.158 1.216 1.276 4% 1.040 1.082 1.125 1.170 1.217 1.265 1.316 1.369 1.423 1.480 6% 1.060 1.124 1.191 1.262 1.338 8% 1.080 1.166 1.260 1.360 1.469 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 18% 1.180 1.392 1.643 1.939 2.288 1.346 1.561 1.811 2.100 20% 1.200 1.440 1.728 2.074 2.488 4 5 6 7 8 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 1.340 1.407 1.477 1.551 1.629 1.419 1.504 1.594 1.689 1.791 1.587 1.714 1.851 1.999 2.159 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 2.436 2.826 3.278 3.803 4.411 2.700 3.185 3.759 4.435 5.234 2.986 3.583 4.300 5.160 6.192 9 10 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 1.710 1.796 1.886 1.980 2.079 1.898 2.012 2.133 2.261 2.397 2.332 2.518 2.720 2.937 3.172 2.853 3.138 3.452 3.797 4.177 3.479 3.896 4.363 4.887 5.474 4.226 4.818 5.492 6.261 7.138 5.117 5.936 6.886 7.988 9.266 6.176 7.288 8.599 10.147 11.974 7.430 8.916 10.699 12.839 15.407 20 25 30 40 1.220 1.282 1.348 1.489 1.486 1.641 1.811 2.208 1.806 2.094 2.427 3.262 2.191 2.666 3.243 4.801 2.653 3.386 4.322 7.040 3.207 4.292 5.743 10.286 4.661 6.848 10.063 21.725 6.727 10.835 17.449 45.259 9.646 17.000 29.960 93.051 13.743 26.462 50.950 188.884 19.461 40.874 85.850 378.721 27.393 62.669 143.371 750.378 38.338 95.396 237.376 1,469.772 Print Done Reference - Periods 1 2 3 4 1% 0.990 1.970 2.941 3.902 4.853 2% 0.980 1.942 2.884 3.808 4.713 3% 0.971 1.913 2.829 3.717 4.580 4% 0.962 1.886 2.775 3.630 4.452 Present Value of Annuity of $1 5% 6% 8% 10% 0.952 0.943 0.926 0.909 1.859 1.833 1.783 1.736 2.723 2.673 2.577 2.487 3.546 3.465 3.312 3.170 4.329 4.212 3.993 3.791 12% 0.893 1.690 2.402 3.037 3.605 14% 0.877 1.647 2.322 2.914 3.433 16% 0.862 1.605 2.246 2.798 3.274 18% 0.847 1.566 2.174 2.690 3.127 20% 0.833 1.528 2.106 2.589 2.991 6 8 5.795 6.728 7.652 8.566 9.471 5.601 6.472 7.325 8.162 8.983 5.417 6.230 7.020 7.786 8.530 5.242 6.002 6.733 7.435 8.111 5.076 5.786 6.463 7.108 7.722 4.917 5.582 6.210 6.802 7.360 4.623 5.206 5.747 6.247 6.710 4.355 4.868 5.335 5.759 6.145 4.111 4.564 4.968 5.328 5.650 3.889 4.288 4.639 4.946 5.216 3.685 4.039 4.344 4.607 4.833 3.498 3.812 4.078 4.303 4.494 3.326 3.605 3.837 4.031 4.192 9 10 11 12 13 14 15 10.368 9.787 9.253 8.760 8.306 11.255 10.575 9.954 9.385 8.863 12.134 11.348 10.635 9.986 9.394 13.004 12.106 11.296 10.563 9.899 13.865 12.849 11.938 11.118 10.380 7.887 8.384 8.853 9.295 9.712 7.139 7.536 7.904 8.244 8.559 6.495 6.814 7.103 7.367 7.606 5.938 6.194 6.424 6.628 6.811 5.453 5.660 5.842 6.002 6.142 5.029 5.197 5.342 5.468 5.575 4.656 4.793 4.910 5.008 5.092 4.327 4.439 4.533 4.611 4.675 20 25 30 40 18.046 16.351 14.877 13.590 12.462 11.470 9.818 22.023 19.52317.413 15.622 14.094 12.783 10.675 25.80822.396 19.600 17.292 15.372 13.765 11.258 32.835 27.355 23.115 19.793 17.159 | 15.046 11.925 8.514 9.077 9.427 9.779 7.469 7.843 8.055 8.244 6.623 6.873 7.003 7.105 5.929 6.097 6.177 6.233 5.353 5.467 5.517 5.548 4.870 4.948 4.979 4.997 Print Done Reference Present Value of $1 Periods 1 2 3 4 5 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 6% 0.943 0.890 0.840 0.792 0.747 8% 0.926 0.857 0.794 0.735 0.681 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 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 0.784 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 0.630 0.583 0.540 0.500 0.463 0.564 0.513 0.467 0.424 0.386 0.507 0.452 0.404 0.361 0.322 0.456 0.400 0.351 0.308 0.270 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 0.650 0.625 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 0.722 0.701 0.681 0.661 0.642 0.601 0.577 0.555 0.585 0.557 0.530 0.505 0.481 0.527 0.497 0.469 0.442 0.417 0.429 0.397 0.368 0.340 0.315 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 0.140 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 20 25 30 40 0.820 0.780 0.742 0.672 0.673 0.610 0.552 0.453 0.554 0.478 0.412 0.307 0.456 0.375 0.308 0.208 0.377 0.295 0.231 0.142 0.312 0.233 0.174 0.097 0.215 0.146 0.099 0.046 0.149 0.092 0.057 0.022 0.104 0.059 0.033 0.011 0.073 0.038 0.020 0.005 0.051 0.024 0.012 0.003 0.037 0.016 0.007 0.001 0.026 0.010 0.004 0.001 Print Done