Future Value of $1 2% Periods Period 1 Period 2 Period 3 Period 4 Period 5 1% 1.010 1.020 1.030 1.041 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 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 16% 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 1.051 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 Period 6 Period 7 Period 8 Period 9 Period 10 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 1.898 2.012 2.133 2.261 2.397 2.332 2.518 2.720 2.937 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 3.172 Period 20 Period 25 Period 30 Period 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 4.661 6.727 9.646 13.743 19.461 27.393 38.338 4.292 6.848 10.83517.000 26.462 40.87462.669 95.396 5.743 10.063 17.449 29.960 50.950 85.850 143.371 237.376 10.286 21.725 45.259 93.051 188.884 378.721 750.378 1,469.772 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 20% 1.000 2.200 3.640 5.368 7.442 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 Annuity of $1 1% 2% 3% 4% 5% 6% 8% 10% 12% 1.000 1.000 1.000 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 3.030 3.060 3.091 3.122 3.153 3.184 3.246 3.310 3.374 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 6.152 6.308 6.468 6.633 6.802 6.975 7.336 7.716 8.115 7214 7.434 7.662 7.898 8.142 8.394 8.923 9.487 10.089 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 12.578 13.181 14.487 15.937 17.549 11.567 12.169 12.808 13.486 14.207 14.972 16.645 18.531 20.655 12.683 13.412 14.192 15.026 15.917 16.870 18.977 21.384 24.133 13.809 14.680 15.618 16.627 17.713 18.882 21.495 24.523 28.029 14.947 15.974 17.086 18.292 19.599 21.015 24 215 27.975 32.393 16.097 17.293 18.599 20.024 21.579 23.276 27.152 31.772 37.280 8.536 10.730 13.233 16.085 19.337 9.442 12.142 15.327 19.086 23.521 9.930 12.916 16.499 20.799 25.959 8.977 11.414 14.240 17.519 21.321 25.733 30.850 36.786 43.672 51.660 23.045 27.271 32.089 37.581 43.842 28.755 34.931 42.219 50.818 60.965 32.150 39.581 48.497 59.196 72.035 Period 20 Period 25 Period 30 Period 40 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 28.243 32.030 36.459 41.646 47.727 54.865 73.106 98.347 133.334 181.871 249.214 342.603 471.981 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 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 0.857 0.826 0.797 0.769 0.743 0.718 0.694 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 0.823 0.792 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 0.6450.5920.500 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 0.804 0.722 0.650 0.585 0.527 0.429 0.350 0.287 0.237 0.195 0.162 0.135 Period 120.887 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 130.879 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 Period 25 0.780 0.610 0.478 0.375 0.295 0.233 0.146 0.092 0.059 Period 30 0.742 0.552 0.412 0.308 0.231 0.174 0.099 0.057 0.033 Period 400.672 0.453 0.307 0.208 0.142 0.097 0.046 0.022 0.011 0.073 0.051 0.037 0.026 0.038 0.024 0.0160.010 0.0200.0120.007 0.004 0.005 0.003 0.001 0.001 20% 0.833 1.528 2.106 2.589 2.991 Present Value of Annuity of $1 Periods 1% 2% 3% 4% 5% 6% 8% 10% 12% 14% 16% 18% 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 Period 2 1.970 1.942 1.913 1.886 1.859 1.833 1.783 1.736 1.690 1.647 1.605 1.566 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 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 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 Period 6 5.795 5.601 5.417 5.242 5.076 4.917 4.623 4.355 4.111 3.889 3.685 3.498 Period 7 6.728 6.472 6.230 6.0025.786 5.5825.206 4.868 4.564 4.288 4.039 3.812 Period 8 7.652 7.325 7.020 6.733 6.463 6.210 5.747 5.335 4.968 4.639 4.344 4.078 Period 9 8.566 8.1627.786 7.435 7.108 6.8026.247 5.759 5.328 4.946 4.607 4.303 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 Period 11 | 10.368 9.787 9.253 8.760 8.306 7.887 7.139 6.495 5.938 5.453 5.029 4.656 Period 12 11.255 10.575 9.954 9.385 8.863 8.384 7.536 6.814 6.194 5.660 5.197 4.793 Period 13 12.134 11.348 10.635 9.986 9.394 8.853 7.904 7.103 6.424 5.842 5.342 4.910 Period 14 13.004 12.106 11.296 10.563 9.899 9.295 8.244 7.3676.6286.002 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 3.326 3.605 3.837 4.031 4.192 4.327 4.439 4.533 4.611 4.675 Period 20 18.046 16.351 14.877 13.590 12.462 11.470 9.818 8.514 7.4696.623 5.929 Period 25 22.023 19.523 17.413 15.622 14.094 12.783 10.675 9.077 7.8436.873 6.097 Period 30 25.808 22.396 19.600 17.292 15.372 13.765 11.258 9.4278.055 7.003 6.177 Period 40 32.835 27.355 23.115 19.793 17.159 15.046 11.925 9.779 8.244 7.105 6.233 5.353 5.467 5.517 5.548 4.870 4.948 4.979 4.997 a. Assume you make the following investments: You invest a lump sum of $8,250 for five years at 12% interest. What is the investment's value at the end of five years? b. In a different account earning 12% interest, you invest $1,650 at the end of each year for five years. What is the investment's value at the end of five years? What general rule of thumb explains the difference in the investments' future values? (Click the icon to view the future value factor table.) (Click the icon to view the future value annuity factor table.) (Click the icon to view the present value factor table.) Click the icon to view the present value annuity factor table.) c. a. You invest a lump sum of $8,250 for five years at 12% interest. What is the investment's value at the end of five years? (Round your answer to the nearest whole dollar.) Investment's value