Question: Quick, please. 2. How much would you need to invest now to be able to withdraw $10,000 at the end of every year for the
Quick, please.





2. How much would you need to invest now to be able to withdraw $10,000 at the end of every year for the next 20 years? Assume a 12% interest rate. 3. Assume that you want to have $145,000 saved seven years from now. If you can invest your funds at a 6% interest rate, how much do you currently need to invest? 4. Your aunt Mary plans to give you $2,000 at the end of every year for the next ten years. If you invest each of her yearly gifts at a 12% interest rate, how much will they be worth at the end of the 10-year period? 5. Suppose you want to buy a small cabin in the mountains four years from now. You estimate that the property will cost $53,500 at that time. How much money do you need to invest each year in an interest-bearing account at the rate of 8% per year to accumulate the purchase price? Present Value of $1 Periods 1% 2% 3% 4% 5% 6% 8% 10% 12% 14% 16% 18% 20% Period 1 0.990 0.980 0.971 0.962 0.952 0.943 0.926 0.909 0.893 0.877 0.862 0.847 0.833 Period 2 0.980 0.961 0.943 0.925 0.907 0.890 0.8570.826 0.797 0.769 0.743 0.7180.694 Period 3 0.971 0.942 0.915 0.889 0.864 0.840 0.794 0.751 0.712 0.675 0.641 0.609 0.579 Period 4 0.961 0.924 0.888 0.855 0.8230.792 0.735 0.683 0.636 0.592 0.552 0.516 0.482 Period 5 0.951 0.906 0.863 0.822 0.784 0.747 0.681 0.621 0.567 0.519 0.476 0.437 0.402 Period 6 0.942 0.888 0.837 0.790 0.746 0.705 0.630 0.564 0.507 0.456 0.410 0.370 0.335 Period 7 0.933 0.871 0.813 0.760 0.711 0.665 0.583 0.513 0.452 0.400 0.354 0.314 0.279 Period 8 0.923 0.853 0.789 0.731 0.677 0.627 0.540 0.467 0.404 0.351 0.305 0.266 0.233 Period 9 0.914 0.837 0.766 0.703 0.645 0.592 0.500 0.424 0.361 0.308 0.263 0.225 0.194 Period 10 0.905 0.820 0.744 0.676 0.614 0.558 0.463 0.386 0.322 0.270 0.227 0.191 0.162 Period 110.896 0.8040.722 0.650 0.585 0.527 0.429 0.350 0.287 0.237 0.195 0.162 0.135 Period 12 0.887 0.788 0.701 0.625 0.557 0.497 0.397 0.319 0.257 0.208 0.168 0.137 0.112 Period 13 0.879 0.773 0.681 0.601 0.530 0.469 0.368 0.290 0.229 0.182 0.145 0.116 0.093 Period 14 0.870 0.758 0.661 0.577 0.505 0.442 0.340 0.263 0.205 0.160 0.125 0.099 0.078 Period 15 0.861 0.743 0.642 0.555 0.481 0.417 0.315 0.239 0.183 0.140 0.108 0.084 0.065 Period 200.820 0.673 0.554 0.456 0.377 0.312 0.215 0.149 0.104 0.073 0.051 0.037 0.026 Period 25 0.780 0.610 0.478 0.375 0.295 0.233 0.146 0.092 0.059 0.038 0.024 0.016 0.010 Period 30 0.742 0.552 0.412 0.308 0.231 0.174 0.099 0.057 0.033 0.020 0.012 0.007 0.004 Perind ann72 453 1027 208 0142 nna Inn Lon22 0011 005 0001 0001 Present Value of Annuity of $1 Periods 1% 2% 3% 4% 5% 6% 8% 10% 12% 14% 16% 18% 20% Period 1 0.990 0.980 0.971 0.962 0.9520.943 0.926 0.909 0.893 0.877 0.862 0.847 0.833 Period 2 1.970 1.942 1.9131.886 1.859 1.833 1.783 1.736 1.6901.647 1.605 1.566 1.528 Period 3 2.941 2.884 2.829 2.775 2.723 2.673 2.577 2.487 2.402 2.322 2.246 2.174 2.106 Period 4 | 3.902 3.808 3.717 3.630 3.546 3.465 3.312 3.170 3.037 2.914 2.798 2.690 2.589 Period 5 4.853 4.713 4.580 4.452 4.329 4.212 3.993 3.791 3.605 3.433 3.274 3.127 2.991 Period 65.795 5.601 5.417 5.2425.076 4.917 4.623 4.355 4.111 3.889 3.685 3.498 3.326 Period 76.728 6.472 6.230 6.0025.786 5.5825.206 4.868 4.564 4.288 4.039 3.812 3.605 Period 8 7.652 7.325 7.020 6.733 6.463 6.210 5.747 5.335 4.968 | 4.6394.344 4.078 3.837 Period 98.566 8.1627.786 7.435 7.108 6.8026.247 5.759 5.328 4.946 4.607 4.303 4.031 Period 10 9.471 8.983 8.530 8.111 7.722 7.360 6.710 6.145 5.6505.216 4.833 4.494 4.192 Period 11 10.368 9.787 9.253 8.760 8.306 7.887 7.139 6.495 5.938 5.453 5.0294.656 4.327 Period 12. 11.255 10.575 9.954 9.385 8.8638.384 7.536 6.814 6.1945.660 5.1974.793 4.439 Period 13 12.134 11.348 10.635 9.986 9.394 8.853 7.904 7.103 6.424 5.842 5.3424.910 4.533 Period 14 13.004 12.106 11.296 10.563 9.899 9.295 8.244 7.3676.6286.002 5.468 5.008 4.611 Period 15 13.865 12.849 11.938 11.11810.380 9.712 8.559 7.606 6.811 6.142 5.575 5.092 4.675 Period 20 18.046 16.351 14.877 13.590 12.462 11.470 9.818 8.514 7.4696.623 5.9295.353 4.870 Period 25 22.023 19.52317.413 15.622 14.094 12.783 10.675 9.077 7.8436.873 6.097 5.467 4.948 Period 30 25.808 22.396 19.600 17.292 15.372 13.765 11.258 9.4278.055 7.003 6.177 5.517 4.979 Period and 32835 127 355123 115 19 793 | 17 159 15046 11.925 9 779 244 7 105 2331 554 1907 Future Value of $1 Periods Period 1 Period 2 Period 3 Period 4 Period 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 Period 6 Period 7 Period 8 Period 9 Period 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 6% 10% 12% 16% 18% 20% 1.060 1.080 1.100 1.120 1.140 1.160 1.180 1.200 1.124 1.166 1.210 1.254 1.300 1.346 1.392 1.440 1.191 1.260 1.331 1.405 1.482 1.561 1.643 1.728 1.262 1.360 1.464 1.574 1.689 1.811 1.939 2.074 1.338 1.469 1.611 1.762 1.925 2.100 2.288 2.488 1.419 1.587 1.772 1.974 2.195 2.436 2.700 2.986 1.504 1.714 1.949 2.211 2.502 2.826 3.185 3.583 1.594 1.851 2.144 2.476 2.853 3.278 3.759 4.300 1.689 1.999 2.358 2.773 3.252 3.803 4.435 5.160 1.791 2.159 2.594 3.106 3.707 4.411 5.234 6.192 1.898 2.332 2.853 3.479 4.226 5.117 6.176 7.430 2.012 2.518 3.138 3.896 4.818 5.936 7.288 8.916 2.133 2.720 3.452 4.363 5.492 6.886 8.599 10.699 2.261 2.937 3.797 4.887 6.261 7.988 10.147 12.839 2.397 3.172 4.177 5.474 7.138 9.266 11.974 15.407 3.207 4.661 6.727 9.646 13.743 19.461 27.393 38.338 4.292 6.848 10.835 17.000 26.462 40.874 62.669 95.396 5.743 10.063 | 17.449 29.960 50.950 85.850 143.371 237.376 10 286 1 21 725 1 45 259 93 051 1188 884 378 7211750 378 1 469 772 Period 11 Period 12 Period 13 Period 14 Period 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 Period 20 Period 25 Period 30 Parindan 1.220 1.282 1.348 1 49 1.486 1.641 1.811 22 1.806 2.094 2.427 3.262 2.191 2.666 3.243 4 A01 2.653 3.386 4.322 704 Future Value of Annuity of $1 Periods 2% 3% 4% 5% 6% 8% 10% 12% 14% 16% 18% 20% 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 2.040 2.050 2.060 2.080 2.100 2.120 2.140 2.160 2.180 2.200 Period 3 3.030 3.060 3.091 3.122 3.153 3.184 3.246 3.310 3.374 3.440 3.506 3.572 3.640 Period 4 4.060 4.122 4.184 4.246 4.310 4.375 4.506 4.641 4.779 4.921 5.066 5.215 5.368 Period 5 5.101 5.204 5.309 5.416 5.526 5.637 5.867 6.105 6.353 6.610 6.877 7.154 7.442 Period 6 6.152 6.308 6.468 6.633 6.802 6.975 7.336 7.716 8.115 8.536 8.977 9.442 9.930 Period 7 7.214 7.434 7.662 7.898 8.142 8.394 8.923 9.487 10.089 10.730 11.414 12.142 12.916 Period 8 8.286 8.583 8.892 9.214 9.549 9.897 10.637 11.436 12.300 13.233 14.240 15.327 16.499 Period 9 9.369 9.755 10.159 10.583 11.027 11.491 | 12.488 13.579 14.776 16.085 17.519 19.086 20.799 Period 10 10.462 10.950 11.464 12.006 12.578 13.181 14.487 15.937 17.549 19.337 21.321 23.521 25.959 Period 11 11.567 12.169 12.808 13.486 14.207 14.972 16.645 18.531 20.655 23.045 25.733 28.755 32.150 Period 12 12.683 13.412 14.192 15.026 15.917 16.870 18.977 21.384 24.133 27.271 30.850 34.931 39.581 Period 13 | 13.809 14.680 15.618 16.627 17.713 18.882 21.495 24.523 28.029 32.089 36.786 42.219 48.497 Period 14 14.94715.974 17.086 18.292 | 19.599 21.015 24.215 27.975 32.393 37.581 43.672 50.818 59.196 Period 15 | 16.097 17.293 18.599 20.024 21.579 23.276 27.152 31.772 37.280 43.842 51.660 60.965 72.035 Period 20 22.019 24.297 26.870 29.778 33.066 36.786 45.762 57.275 | 72.052 91.025 115.380 146.628 186.688 Period 25 28 243 32.03036.459 41.646 | 47.727 54.865 73.106 98.347 133.334 181.871 249.214 342.603 471.981 Period 30 34.785 40.568 47.575 56.085 66.439 79.058 113.283 164.494 241.333 356.787 530.312790.948 1,181.882 Porind an AA RAR 60 402 75 401 05.026.120 Ann 154 7621 259 0571 442 593 1 767 091 1342 025236 75714 163 21317 343 858
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