Reference Present Value of $1 Periods 1 2 1% 0.990 0.980 0.971 0.961 0.951 29 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% 8% 0.943 0.926 0.890 0.857 0.840 0.794 0.792 0.735 0.747 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 3 4 5 6 7 8 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 9 10 11 0.585 12 13 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 0.650 0.625 0.601 0.577 0.555 0.557 0.530 0.505 0.481 0.527 0.429 0.497 0.397 0.469 0.368 0.442 0.340 0.417 0.315 0.350 0.319 0.290 0.263 0.239 0.287 0.257 0.229 0.205 0.183 0.237 0.195 0.208 0.168 0.182 0.145 0.160 0.125 0.140 0.108 0.162 0.135 0.137 0.112 0.116 0.093 0.099 0.078 0.084 0.065 14 15 20 25 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 30 40 Print Done Reference 2% Periods 1 2 3 1% 0.990 1.970 2.941 3.902 4.853 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% 89% 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 4 5 6 7 8 9 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 3.326 3.812 3.605 4.078 3.837 4.303 4.031 4.494 4.192 10 11 12 13 10.368 9.787 9.253 8.760 8.306 7.887 11.255 10.575 9.954 9.385 8.863 8.384 12.134 11.348 10.635 9.986 9.394 8.853 13.004 12.106 11.296 | 10.563 9.899 9.295 13.865 12.849 11.938 11.11810.380 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 4.327 4.793 4.439 4.910 4.533 5.008 4.611 5.092 4.675 14 15 20 25 30 40 18.046 | 16.351 14.877 13.590 12.462 11.470 9.818 8.514 22.023 19.52317.41315.622 14.094 12.783 10.675 9.077 25.80822.396 | 19.600 17.292 15.372 13.765 11.258 9.427 32.835 27.355 23.115 19.793 17.159 15.046 11.925 9.779 7.469 6.623 7.843 6.873 8.055 7.003 8.244 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 Future Value of $1 Periods 1 59 1.050 1.103 8% 1.080 1.166 2 1% 1.010 1.020 1.030 1.041 1.051 2% 1.020 1.040 1.061 1.082 1.104 39 1.030 1.061 1.093 1.126 1.159 4% 1.040 1.082 1.125 1.170 1.217 6% 1.060 1.124 1.191 1.262 1.338 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 1696 1.160 1.346 1.561 1.811 2.100 18% 1.180 1.392 1.643 1.939 2.288 20% 1.200 1.440 1.728 2.074 2.488 3 1.158 1.260 4 1.216 1.276 1.360 1.469 5 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 1.340 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 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 19.461 27.393 38.338 26.462 40.874 62.669 95.396 50.950 85.850 143.371 237.376 188.884 378.721 750.378 1,469.772 Print Done 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 draw $220,000 per year for the next 30 years (based on family history, you think you'll live to age 70). You plan to save for retirement by making 10 equal annual installments (from age 30 to age 40) into a fairly risky investment fund that you expect will earn 12% 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 the present value annuity table.) (Click the icon to view the future value annuity table.) (Click the icon to view the present value table.) (Click the icon to view the future value table.) To make your plan work answer the following questions: (Click the icon to view the questions.) 1. How much money must you accumulate by retirement? (Hint: Find the present value of the $220,000 withdrawals.) Calculate the present value to find out how much money must be accumulated by retirement. (Round your answer to the nearest whole dollar.) The present value is $ ww 2. How does this amount compare to the total amount you will draw out of the investment during retirement? How can these numbers be so different? ww. However, by age 40 you only need to have invested Over the course of your retirement you will be withdrawing $ the future value. These numbers are different because: O A. You need to have far less accumulated than what vou will withdraw because vou only withdraw a portion of the investment everv vearthe balance remains invested 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 draw $220,000 per year for the next 30 years (based on family history, you think you'll live to age 70). You plan to save for retirement by making 10 equal annual installments (from age 30 to age 40) into a fairly risky investment fund that you expect will earn 12% per year. You will leave the money in this fund until it is completely depleted when you are 70 years old. 3 (Click the icon to view the present value annuity table.) (Click the icon to view the future value annuity table.) (Click the icon to view the present value table.) (Click the icon to view the future value table.) To make your plan work answer the following questions: (Click the icon to view the questions.) These numbers are different because: O A. 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 12% interest. OB. 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 12% interest. O C. You need to have the same accumulated as you will withdraw because you will not earn further interest on your investment when you reach retirement. OD. None of the above. 3. How much must you pay into the investment each year for the first ten years? (Hint: Your answer from Requirement 1 becomes the future value of this annuity.) (Round your answer to the nearest whole dollar.) You must pay $ into the investment each year for the first ten years. 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 draw $220,000 per year for the next 30 years (based on family history, you think you'll live to age 70). You plan to save for retirement by making 10 equal annual installments (from age 30 to age 40) into a fairly risky investment fund that you expect will earn 12% 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 the present value annuity table.) (Click the icon to view the future value annuity table.) (Click the icon to view the present value table.) (Click the icon to view the future value table.) To make your plan work answer the following questions: A (Click the icon to view the questions.) OC. You need to have the same accumulated as you will withdraw because you will not earn further interest on your investment when you reach retirement. OD. None of the above. 3. How much must you pay into the investment each year for the first ten years? (Hint: Your answer from Requirement 1 becomes the future value of this annuity.) (Round your answer to the nearest whole dollar.) You must pay $ into the investment each year for the first ten years. 4. How does the total out-of-pocket savings compare to the investment's value at the end of the ten-year savings period and the withdrawals you will make during retirement? (Use the investment rounded to the nearest whole number that you calculated above, then round your final answer to the nearest whole dollar.) The total out-of-pocket savings amounts to $ This is far than the investment's worth at the end of ten years and remarkably than the amount of money you will eventually withdraw from the investment Choose from any list or enter any number in the input fields and then continue to the next