Assume you make the following investments: You invest a lump sum of $8,750 for three years at 14% interest. What is the investment's value at the end of three years? b. In a different account earning 14% interest, you invest $2,917 at the end of each year for three years. What is the investment's value at the end of three 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 loon 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.) . You invest a lump sum of $8,750 for three years at 14% interest. What is the investment's value at the end of three years? (Round your answer to the nearest whole dollar.) Investment's value = Future Value of $1 10% 100 1010 1080 1000 1040 1.00 1.15 10% 1.10 1210 1.331 1.44 1.050 1.103 1.158 1276 1.340 1407 147 1.551 11 1254 16 1574 1.762 221 4300 2.73 1.020 1040 1061 1082 | 1.104 1.126 1.149 1.172 1.195 11.210 1243 1.268 1.2 1.319 1346 486 1641 1.81] 2208 130 1.61 | 1.00 1.126 1.159 1.194 1230 1267 1.305 1.34 1.384 1.426 1.469 1.513 1.588 1.806 2004 2427 3262 1.423 1460 1.539 1601 11.665 1.732 1801 2191 2 32 B01 1.060 1124 1.191 1282 138 1.419 1.504 1.594 1649 1.791 1896 2012 2 133 2261 2397 3707 4292 5.743 10 1000 16 1260 1360 1.469 1.587 1.714 1.851 1.999 2.159 2.332 2720 3.172 6848 10.063 21.725 1 110 1. 10 1.180 1300 1346 1302 1.440 1.48 1561 1643 1.728 1. 1.81] 1999 2074 1.925 2.100 2286 2.488 2.16 2.45 2.700 2.996 2.502 2.826 3.165 3.583 2.653 3278 3.750 3252 3.803 4.435 5.160 3.707 5.234 6.192 4226 15.147 6.176 7430 4.818 5936 17288 8.016 5.492 686 | 8599 | 10.699 62] 7.988 10.147 | 12 839 7138 9266 | 1974 15.407 13.743 | 19.46] | 7.39 30 4 674 | 5.36 50 950 | 85 850 | 143 371 | 237 376 | 188 684376.72] | 750.378 1.469.72 1.710 1796 1,686 1,980 2079 2653 336 1.322 17040 2.476 3.106 3479 386 4363 4887 .177 5.474 6.TV 9 E46 10.835 17.00 7449 | 9 960 45.259 - | 93.051 18% 0.847 1.566 or to the 2.690 3.127 3.498 344 3.812 4.078 Gi s he s i - c Parinde 1% 2% 3% 4% 0,990 0.980 0.971 0.962 1.970 1.942 1.913 1.886 2.9412.884 2.8292.775 3.902 3.808 3.717 3.630 4.853 4.713 4.580 4.452 5.601 5.417 5.242 6.728 6.472 6.230 6.002 7.652 7.325 7.020 6.733 8.566 8.162 7.786 7.435 9.471 8.9838.530 8.111 10.368 9.787 9.253 8.760 11.255 10.575 9.954 9.385 12.134 11.348 10.635 9.986 13.004 12.106 11.296 | 10.563 13.865 12.849 11.938 11.118 20 18.046 16.351 14.877 13.590 22.023 19.523 17.413 15.622 30 25.808 22.396 19.600 17.292 40 32.835 27.355 23.115 19.793 Present Value of Annuity of $1 5% 6% 8% 10% 12% 14% 16% 0.952 0.943 0.926 0.909 0.893 0.877 0.862 1.859 1.833 1.783 1.736 1.6901.647 1.605 2.723 2.673 2.577 2.487 240223222.246 3.546 3.465 | 3.312 3.037 2.914 2.798 4.329 4.212 3.993 3.791 3.605 3.433 3.274 5.076 4.917 4.623 4.355 4.111 3.889 3.685 5.786 5.582 5.206 4.868 4.288 4.039 6.463 6.210 5.747 5.335 4.968 4.639 7.108 6.802 6.247 5.759 5.328 4.946 .607 7.722 7.360 6.710 6.145 5.6505.216 8.306 7.887 7.139 6.495 5.938 5.453 5.029 8.863 8.384 7.536 6.814 6.1945.660 5.197 9.394 8.853 7.904 7.103 6.424 5.842 5.342 9.899 9.295 8.244 7.3676.628 6.002 5.468 10.380 9.712 8.559 7.606 6.811 6.142 5.575 12.462 11.470 9.818 8.514 7.469 6.623 5.929 14.094 12.783 10,675 15.372 13.765 11.2589.4278.055 7.003 6.177 17.159 15.046 11.925 9.7798.244 7.105 6.233 4.303 4.494 .833 20% 0.833 1,528 2.106 2.589 2.991 3.326 3.605 3.837 4.031 4.192 4.327 4.439 4.533 4.611 4.675 4.870 4.948 4.979 4.997 4.656 4.793 4.910 5.008 5.092 5.353 5.517 5.548 Period: 20% 1.000 2.200 1.000 2.040 3.122 4.246 5.416 9.442 1% 1.000 2.010 3.030 4.060 5.101 6.152 7.214 8.286 9.369 10.462 11.567 12.683 13.809 14.947 16.097 22.019 28.243 34.785 48.886 1.000 2.020 3.060 4.122 5.204 6.308 7.434 8.583 9.755 10.950 12.169 13.412 14.680 15.974 17.293 24.297 32.030 40.568 60.402 3% 1.000 2.030 3.091 4.184 5.309 6.468 7,662 8.892 10.159 11.464 12.808 14.192 | 15.618 17.086 18.599 28.870 3 6.459 47.575 75.401 6.633 7.898 9.214 10.583 12.006 13.486 15.026 16.627 18.292 20.024 29.778 41.646 56.085 95.026 Future Value of Annulty of $1 5% 1.000 1.000 1.000 1.000 1.000 2.050 2.060 2,080 2.100 2.120 3.153 3.184 3.246 3.310 3.374 4.310 4.375 4.506 4.641 4.779 5.526 5.637 5,867 16.105 6.353 6.802 6.9757.3367.716 18.115 8.142 8.142 8.394 8.9239.487 10,089 9.549 9.897 10.637 11.436 12.300 11.027 11.491 12.488 13.579 14.776 12.578 13.181 14.487 15.937 17.549 14.207 14.972 16.645 18.531 20.656 15.917 16.870 18.977 21.384 24.133 17.713 18.882 21 496 24.523 28.029 19.599 21.015 24.215 27.975 32.393 21.579 23.276 27.152 31.772 37.280 33.066 36.786 45.762 57.275 72.052 47.727 54.865 73.106 98.347 133.334 66.439 79.058 113.283 164.494 241.333 120.800 154.762 259.057 442 593 767.091 14% 1.000 2.140 3.440 4.921 6.610 8.536 10.730 13.233 16.085 19.337 23.045 27271 32.089 37.581 43.842 91.025 181.871 356.787 1,342.025 16% 1.000 1.000 2.160 2.180 3.506 3.572 5.066 15.215 6.877 7.154 8.977 11414 12.142 14240 15.327 17.519 19.086 21.321 23.521 25.733 28.755 30.850 34.931 36.786 42.219 43.672 50.818 51.660 60.965 115.380 146.628 249.214 342.603 530.312790.948 2,360.757 4,163.213 3.640 5.368 7442 9.930 12.916 16.499 20.799 25.959 32.150 39.581 48.497 59.196 72.035 186.688 471.981 1.181.882 7,343.858 18% 0.847 1.566 2.174 2.690 3.127 3.717 + 3.433 Present Value of Annulty of $1 Periods 1% 2% 3% 4% 5% 6% 8% 10% 12% 14% 0.990 0.980 0.971 0.962 0.952 0.943 0.926 0.909 0.893 0.877 1.970 1.942 1.913 1.886 1.859 1.833 1.783 1.736 1.690 1.647 2.941 2.884 2829 2.775 2.723 2.673 2.577 2.487 2.402 2.322 3.902 3.808 3.630 3.546 3.465 3.312 3.1703.037 2.914 4.853 4.713 4.580 4.452 4.329 4.212 3.993 3.791 3.605 | 5.795 5.601 5.417 5.242 5.076 | 4.917 4.623 4.355 4.111 3.889 6.728 6.472 6.230 6.002 5.786 5.582 5.206 4.868 4.564 4.288 7.652 7.325 7.020 6.733 6.463 6.210 5.747 5.335 4.968 4.639 8.566 8.162 7.786 7.435 7.108 6.802 6.247 5.759 5.328 4.946 9.471 8.983 8.530 8.111 | 7.722 7.360 6.710 6.145 5.650 5.216 11 10.368 9.787 9.253 8.760 8.3067.887 7.139 6.495 5.938 5.453 12 11.255 10.575 9.954 9.385 8.8638.384 7.536 6.814 6.1945.660 12.134 11.348 10.635 | 9.9869.3948.853 7.904 7.103 6.424 5.842 14 13.004 12.106 11.296 10.563 9.899 9.295 8.244 7.367 6.628 6.002 15 13.865 12.849 11.938 11.118 10.380 9.712 8.559 7.606 6.811 6.142 20 18.046 16.351 14.877 13.590 12.462 11.470 9.818 8.5147.4696.623 22.023 19.523 17.413 15.622 14.094 12.783 10.675 9.077 7.843 6.873 25.808 22.396 19.600 17.292 15.372 13.765 11.258 9.4278.055 7.003 32.835 27.356 23.115 19.793 17.159 15.046 11.925 9.779 8.244 7.105 16% 0.862 1.605 2.246 2.798 3.274 3.685 4.039 4.344 4.607 4.833 5.029 5.197 5.342 5.468 5.575 5.929 6.097 6.177 6.233 20% 0.833 1.528 2.106 2.589 2.991 3.326 3.605 3.837 4.031 4.192 4.327 3.498 3.812 4.078 4.303 4.494 439 4.656 4.793 4.910 5.008 5.092 5.363 5.467 5.517 5.548 533 4.611 4.675 4.870 4.948 4.979 4.997