a. Assume you make the following investments: You invest a lump sum of $7,550 for five years at 14% interest. What is the investment's value at the end of five years? b. In a different account earning 14% interest, you invest $1,510 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 $7,550 for five years at 14% interest. What is the investment's value at the end of five years? (Round your answer to the nearest whole dollar.) Investment's value 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 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 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 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 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 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 Future Value of Annuity of $1 Periods Period 1 Period 2 Period 3 Period 4 Period 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 6% 1.000 2.060 3.184 4.375 5.637 8% 1.000 2.080 3.246 4.506 5.867 10% 1.000 2.100 3.310 4.641 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 20% 1.000 2.200 3.640 5.368 7.442 Period 6 Period 7 Period 8 Period 9 Period 10 6.152 6.308 7.214 7.434 8.286 8.583 9.369 9.755 10.462 10.950 6.468 6.633 7.662 7.898 8.892 9.214 10.159 10.583 11.464 12.006 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 8.115 9.487 10.089 11.436 12.300 13.579 14.776 15.937 17.549 8.536 10.730 13.233 16.085 19.337 8.977 11.414 14.240 17.519 21.321 9.442 12.142 15.327 19.086 23.521 9.930 12.916 16.499 20.799 25.959 Period 11 Period 12 Period 13 Period 14 Period 15 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 23.045 27.271 32.089 37.581 43.842 25.733 30.850 36.786 43.672 51.660 28.755 34.931 42.219 50.818 60.965 32.150 39.581 48.497 59.196 72.035 Present Value of $1 Periods Period 1 Period 2 Period 3 Period 4 Period 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 0.784 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 Period 6 0.942 Period 7 0.933 Period 8 0.923 Period 9 0.914 Period 10 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 Period 11 0.896 Period 12 0.887 Period 13 0.879 Period 14 0.870 Period 15 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 0.585 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 Present Value of Annuity of $1 Periods Period 1 Period 2 Period 3 Period 4 Period 5 1% 0.990 1.970 2.941 3.902 4.853 2% 3% 4% 0.980 0.971 0.962 1.942 1.913 1.886 2.884 2.829 2.775 3.808 3.717 3.630 4.713 4.580 4.452 5% 0.952 1.859 2.723 3.546 4.329 6% 0.943 1.833 2.673 3.465 4.212 8% 10% 12% 0.926 0.909 0.893 1.783 1.736 1.690 2.577 2.487 2.402 3.312 3.170 3.037 3.993 3.791 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 Period 6 Period 7 Period 8 Period 9 Period 10 5.795 6.728 7.652 8.566 9.471 5.601 5.417 5.242 6.472 6.230 6.002 7.325 7.020 6.733 8.162 7.786 7.435 8.983 8.530 8.111 5.076 4.917 4.623 4.355 4.111 5.786 5.5825.206 4.868 4.564 6.463 6.210 5.747 5.335 4.968 7.108 6.8026.247 5.759 5.328 7.722 7.360 6.710 6.145 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 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 Period 14 | 13.004 12.106 11.296 | 10.563 9.899 9.295 8.244 | 7.3676.628 Period 15 13.865 12.849 11.938 11.118 10.380 9.712 8.559 7.606 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