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4 Periods 1% 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 Period 20 Period 25 Period 30 Period 40 Future Value of Annulty of $1 16% 18% 8% 10% 1.000 1.000 12% 14% 1.000 1.000 1.000 1.000 2% 3% 4% 5% 6% 1.000 1.000 1.000 1.000 1.000 1.000 2.010 2.020 2.030 2.040 2.050 2.060 2.080 2.100 2.120 2.140 2.160 2.180 3.030 3.060 3.091 3.122 3.153 3.184 3.246 3.310 4.060 4.122 4.184 4.246 4.310 4.375 4.506 4.641 4.779 5.101 5.204 5.309 5.416 5.526 5.637 5.867 6.105 6.353 3.374 3.440 3.506 3.572 5.066 5.215 6.877 7.154 7.336 7.716 8.115 8.923 9.487 10.089 6.152 6.308 6.468 6.633 6.802 6.975 7.214 7.434 7.662 7.898 8.142 8.394 8.286 8.583 8.892 9.214 9.549 9.897 10.637 11.436 12.300 9.369 9.755 10.159 10.583 11.027 11.491 12.488 13.579 14.776 10.462 10.950 11.464 12.006 14.487 15.937 17.549 12.578 13.181 4.921 6.610 11.567 12.169 12.808 13.486 14.207 12.683 13.412 14.192 15.026 13.809 14.680 15.618 16.627 14.947 15.974 17.086 18.292 16.097 17.293 18.599 20.024 8.536 8.977 10.730 11.414 13.233 16.085 19.337 972 16.645 18.531 20.655 15.917 16.870 18.977 21.384 24.133 17.713 18.882 21.495 24.523 28.029 19.599 21.015 24.215 27.975 32.393 37.581 21.579 23.276 27.152 31.772 37.280 43.842 9.442 12.142 14.240 15.327 17.519 19.086 21.321 23.521 25.733 28.755 23.045 27.271 30.850 34.931 32.089 36.786 42.219 43.672 50.818 51.660 60.965 20% 1.000 2.200 3.640 5.368 7.442 9.930 12.916 16.499 20.799 25.959 32.150 39.581 48.497 59.196 72.035 33.066 36.786 45.762 57.275 72.052 91.025 47.727 54.865 73.106 98.347 133.334 181.871 115.380 146.628 186.688 249.214 342.603 471.981 22.019 24.297 26.870 29.778 28.243 32.030 36.459 41.646 34.785 40.568 47.575 56.085 66.439 79.058 113.283 164.494 241.333 356.787 530.312 790.948 1,181.882 48.886 60.402 75.401 95.026 120.800 154.762 259.057 442.593 767.091 1,342.025 2,360.757 4,163.213 7,343.858
Period 1 Period 2 Period 3 Period 4 Period 5 Periods 1% 2% 3% 0.990 0.980 0.971 1.970 1.942 1.913 2.941 2.884 2.829 3.808 3.717 3.630 4.713 4.580 4.452 3.902 4.853 Present Value of Annuity of $1 4% 20% 0.962 0.952 0.847 0.833 1.886 1.566 5% 6% 8% 0.943 0.926 0.909 0.893 0.877 0.862 10% 12% 14% 16% 18% 1.859 1.833 1.783 1.736 1.690 1.647 2.775 2.723 2.673 2.577 2.487 2.402 2.322 2.246 1.605 3.465 3.312 3.170 3.037 2.914 2.798 4.212 3.993 3.791 3.605 3.433 3.274 1.528 2.174 2.106 2.589 2.991 Period 6 Period 7 Period 8 7.652 Period 9 8.566 Period 10 9.471 3.546 4.329 5.795 5.601 5.417 5.242 5.076 4.917 4.623 4.355 4.111 6.728 6.472 6.230 6.002 5.786 5.206 4.868 4.564 4.288 5.335 4.968 4.639 2.690 3.127 3.889 3.685 3.498 4.039 3.812 4.344 5.582 7.325 7.020 6.733 6.463 6.210 5.747 8.162 7.786 7.435 7.108 6.802 6.247 5.759 5.328 4.946 4.607 8.983 8.530 8.111 7.722 7.360 6.710 6.145 5.650 5.216 4.833 3.326 3.605 3.837 4.078 4.303 4.031 4.494 4.192 5.453 5.029 4.656 5.660 5.197 4.793 5.342 4.910 Period 11 10.368 9.787 9.253 8.760 8.306 7.887 7.139 6.495 5.938 Period 12 11.255 10.575 9.954 9.385 8.863 8.384 7.536 6.814 6.194 Period 13 12.134 11.348 10.635 9.986 9.394 8.853 7.904 7.103 6.424 5.842 Period 14 13.004 12.106 11.296 10.563 9.899 9.295 8.244 7.367 6.628 6.002 5.468 5.008 Period 15 13.865 12.849 11.938 11.118 10.380 9.712 8.559 7.606 6.811 6.142 5.575 5.092 Period 20 18.046 16.351 14.877 13.590 12.462 11.470 9.818 8.514 7.469 Period 25 22.023 19.523 17.413 15.622 14.094 12.783 10.675 9.077 7.843 6.873 6.097 5.467 4.948 6.623 5.929 5.353 4.870 Period 30 25.808 22.396 19.600 17.292 15.372 13.765 11.258 9.427 8.055 7.003 6.177 5.517 Period 40 32.835 27.355 23.115 19.793 17.159 15.046 11.925 9.779 8.244 7.105 6.233 5.548 4.997 4.979 4.327 4.439 4.533 4.611 4.675
Periods 1% 2% 3% 4% 1.010 1.020 1.030 1.040 1.020 1.040 1.061 1.082 1.061 1.093 1.125 1.030 1.041 1.082 1.126 1.170 1.051 1.104 1.159 1.217 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 Period 20 Period 25 Period 30 Period 40 1.062 1.126 1.194 1.072 1.149 1.230 1.083 1.172 1.267 1.094 1.195 1.305 1.105 1.219 1.344 1.116 1.243 1.127 1.268 1.138 1.294 1.149 1.319 1.161 1.346 1.384 1.426 1.265 1.340 1.419 1.587 1.772 1.316 1.407 1.504 1.714 1.369 1.477 1.594 1.851 2.144 2.476 1.423 1.551 1.689 1.999 2.358 2.773 2.159 3.106 2.594 1.480 1.629 1.791 Future Value of $1 18% 1.180 1.103 1.124 5% 6% 8% 10% 12% 14% 16% 1.050 1.060 1.080 1.100 1.120 1.140 1.160 1.210 1.254 1.300 1.346 1.392 1.331 1.405 1.574 1.689 1.762 1.925 2.100 1.166 1.260 1.158 1.191 1.482 1.561 1.643 1.216 1.262 1.360 1.464 1.811 1.939 1.276 1.338 1.469 1.611 2.288 1.539 1.710 1.601 1.796 1.665 1.886 1.980 2.079 1.469 1.513 1.732 1.558 1.801 1.220 1.486 1.806 2.191 1.282 1.641 2.094 2.666 1.348 1.811 2.427 3.243 1.489 2.208 3.262 4.801 2.653 3.386 4.322 2.853 2.518 3.138 2.720 1.898 2.332 2.012 2.133 2.261 2.397 2.700 1.974 2.195 2.436 1.949 2.211 2.502 2.826 2.853 3.185 3.278 3.759 3.252 3.803 4.435 3.707 4.411 5.234 3.479 4.226 3.896 3.452 4.363 3.797 4.887 2.937 3.172 4.177 3.207 4.661 5.117 4.818 5.936 5.492 6.886 6.261 5.474 7.138 6.176 7.288 8.599 7.988 10.147 9.266 11.974 20% 1.200 1.440 1.728 2.074 2.488 2.986 3.583 4.300 5.160 6.192 9.646 13.743 19.461 27.393 38.338 6.727 6.848 10.835 17.000 26.462 40.874 62.669 4.292 95.396 5.743 10.063 17.449 29.960 50.950 85.850 143.371 237.376 7.040 10.286 21.725 45.259 93.051 188.884 378.721 750.378 1,469.772 7.430 8.916 10.699 12.839 15.407
Present Value of $1 5% 6% 8% Period 2 Period 3 Period 4 Period 5 Periods 1% 2% 3% 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 0.980 0.961 0.943 0.925 0.907 0.890 0.857 0.826 0.797 0.769 0.743 0.718 0.694 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 0.961 0.924 0.888 0.855 0.823 0.792 0.735 0.683 0.636 0.592 0.552 0.516 0.482 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 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 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 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 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 0.905 0.820 0.744 0.676 0.614 0.558 0.463 0.386 0.322 0.270 0.527 0.429 0.350 0.287 0.557 0.497 0.397 0.319 0.257 0.650 0.585 0.625 0.773 0.681 0.601 0.530 0.469 0.227 0.191 0.162 0.237 0.195 0.162 0.135 0.208 0.168 0.137 0.112 0.182 0.093 0.160 0.125 0.099 0.078 0.108 0.084 0.065 0.145 0.116 0.758 0.661 0.577 0.368 0.290 0.229 0.505 0.442 0.340 0.263 0.205 0.481 0.417 0.315 0.239 0.183 0.140 0.743 0.642 0.555 Period 6 Period 7 Period 8 Period 9 Period 10 Period 11 Period 12 Period 13 Period 14 Period 15 0.896 0.887 0.879 0.870 0.861 0.804 0.722 0.788 0.701 0.073 0.051 0.037 0.026 0.092 0.059 0.038 0.024 0.016 0.010 0.020 0.012 0.007 0.004 0.057 0.033 0.011 0.005 0.003 0.001 0.001 Period 20 0.820 0.673 0.554 0.456 0.377 0.215 0.149 0.104 0.312 0.295 0.233 Period 25 0.780 0.610 0.478 0.375 0.146 Period 30 0.742 0.552 0.412 0.308 0.231 0.174 0.099 Period 40 0.672 0.453 0.307 0.208 0.142 0.097 0.046 0.022
1. Suppose you invest a sum of $5,000 in an interest-bearing account at the rate of 10% per year. What will the investment be worth six years from now? 2. How much would you need to invest now to be able to withdraw $8,000 at the end of every year for the next 20 years? Assume an 8% interest rate. 3. Assume that you want to have $140,000 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 Eugenia plans to give you $4,500 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 $52,000 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?