Assume you make the following investments: You invest a lump sum of $8,000 for five years at 12% interest. What is the investment's value at the end of five years? In a different account earning 12% interest, you invest $1,600 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.) c. (Click the icon to view the future value annuity factor table.) (Click the Iocon to view the present value factor table) (Cilick the loon to view the present value annuity factor table) a. You invest a lump sum of $8,000 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$1:4 b. In a different account earning 12% interest, you invest $1,600 at the end of each year for five years, what is the investment's value at the end of five years? (Round your answer to the nearest whole dollar.) Investment's value 4 684 333 025 11122 23456 78 53 78 74 39 193 174 3345 678 83-7 6 488 81 48284 19892 -11112 22334 55679 148 7 68218 320 %40295 4 2233 44567 4 3 2 2-12457 92471 48384 3 33445 9 2 0-1 2346 135 81471 741 815 of -89 0 1 2 3 4 57891 35791 68 ur -%-60 24 9 ut 0 1 1 2 3 45567 80123 227 69 6 501122 34456 77890 633 0 0 0112 23344 56678 162 4 %| 30 61 93 26 59 94 30 67 05 44 84 26 6 13 58 06 94 27 3000111223 34455 804 2012 04 26 9 7 5 9 36996 86 1 1 00000 00001 11111 22 0-2345 12345 6789 1 Reference Present Value of Annuity of $1 Periods | 1% | 2% | 3% | 4% | 5% | 6% | 8% | 10% | 12% | 14% | 16% | 18% | 20% 10.990 0.9800.971 0.962 0.952 0.943 0.926 0.909 0.893 0.877 0.862 0.8470.833 2 1.970 1.942 1.913 1.886 1.859 1.833 1.783 1.736 1.690 1.6471.6051.5661.528 3 2.9412.8842.829 2.775 2.723 2.673 2.577 2.487 2.402 2.322 2.246 2.1742.106 43.902 3.808 3.717 3.6303.546 3.465 3.3123.1703.0372.9142.7982.690 2.589 54.8534.713 4.580 4.452 4.329 4.212 3.9933.7913.605 3.4333.2743.1272.991 6 5.7955.601 5.417 5.2425.076 4.917 4.623 4.355 4.1113.8893.6853.4983.326 7 6.728 6.4726.230 6.002 5.786 5.582 5.206 4.8684.5644.288 4.0393.8123.605 8 7.652 7.3257.020 6.733 6.463 6.2105.7475.3354.968 4.6394.344 4.0783.837 9 8.566 8.162 7.786 7.435 7.108 6.802 6.2475.7595.3284.946 4.6074.303 4.031 10 9.4718.9838.530 8.1117.7227.360 6.710 6.145 5.6505.216 4.8334.4944.192 1110.3689.787 9.2538.760 8.306 7.8877.139 6.4955.938 5.453 5.029 4.6564.327 12 11.255 10.575 9.9549.3858.863 8.3847.536 6.814 6.1945.6605.1974.7934.439 13 12.13411.348 10.635 9.9869.3948.8537.9047.103 6.4245.842 5.342 4.910 4.533 14 13.004 12.106 11.296 10.5639.8999.295 8.244 7.3676.6286.0025.468 5.008 4.611 15 13.865 12.849 11.938 11.118 10.380 9.712 8.5597.606 6.811 6.142 5.575 5.092 4.675 20 18.046 16.351 14.877 13.590 12.462 11.4709.818 8.5147.469 6.6235.9295.353 4.870 25 22.023 19.523 17.413 15.622 14.094 12.783 10.675 9.0777.8436.8736.0975.4674.948 30 25.80822.396 19.600 17.292 15.372 13.765 11.2589.4278.055 7.003 6.177 5.5174.979 an PrintDone Reference Future Value of Annuity of $1 Periods 10% 1.000 12% 14% 16% 1.000 18% 1.000 1.000 2.010 3.030 4.060 5.101 1.000 2.020 3.060 1.000 2.030 3.091 1.000 2.040 3.122 4.246 4.310 5.416 6.633 7.898 9.214 1.000 2.060 3.184 4.375 5.637 6.975 8.394 9.897 1.000 2.080 2.100 2.1 2.140 2160 2.1802 2.050 3.153 3.246 4.506 5.867 7.336 8.923 3.310 4.641 6.105 7.716 9.48710.089 10.730 11.41412.142 .916 2.120 3.374 4.779 6.353 3.440 4.921 6.610 8.536 2.200 3.640 5.368 3.506 5.066 6.877 3.572 5.215 5.309 6.468 7.662 8.892 5.204 5.526 9.442 9.930 7.214 8.286 9.369 7.434 8.583 9.755 0.15910.583 11.027 11.49 12.48813.57914.776 16.085 17.51919.086 20.799 8.142 9.549 10.63711.436 12.300 13.233 14.240 15.327 16.499 10 12 13 14 15 20 10.46210.950 11.464 12.006 2.57813.181 14.487 15.9377.54919.337 21.321 23.52125.959 11.56712.169 12.808 13.486 14.207 14.972 16.645 18.531 20.655 23.045 25.733 28.755 32.150 12.68313.41214.192 15.02615.91716.870 18.977 21.38424.133 27.271 30.85034.93139.581 13.809 14.680 5.618 16.627 17.71318.882 21.495 24.52328.029 32.089 36.78642.21948.497 14.94715.974 17.086 18.292 19.599 21.015 24.215 27.97532.393 37.58143.67250.818 59.196 16.09717.29318.59920.02421.57923.276 27.15231.77237.280 43.842 51.660 60.96572.035 22.019 24.297 26.870 29.77833.066 36.786 45.76257.275 72.052 91.02515.380 146.628186.688 28.24332.030 36.459 41.646 47.72754.865 73.106 98.347133.334 181.871 249.214 342.603471.981 34.78540.56847.575 56.085 66.43979.058 113.283164.494 241.333356.787530.312790.9481,181.882 30 Print Done 1 Reference Present Value of Annuity of $1 Periods | 1% | 2% | 3% | 4% | 5% | 6% | 8% | 10% | 12% | 14% | 16% | 18% | 20% 10.990 0.9800.9710.962 0.9520.943 0.926 0.9090.8930.877 0.862 0.847 0.833 2 1.970 1.942 1.913 1.886 1.859 1.833 1.7831.736 1.690 1.647 1.605 1.566 1.528 3 2.941 2.8842.829 2.775 2.723 2.673 2.577 2.487 2.402 2.322 2.2462.174 2.106 4 3.902 3.808 3.7173.630 3.546| 3.465 3.312 3.170 3.037 2.9142.7982.690 2.589 5 4.853 4.7134.580 4.452 4.329 4.212 3.9933.7913.605 3.433 3.274 3.127 2.991 6 5.7955.601 5.4175.2425.076 | 4.917 4.6234.355 4.111 3.8893.6853.498 3.326 7 6.728 6.4726.230 6.002 5.786 5.5825.206 4.868 4.564 4.288 4.039 3.812 3.605 8 7.652 7.3257.020 6.733 6.463 6.210 5.7475.335 4.968 4.639 4.344 4.078 3.837 9 8.566 8.1627.7867.4357.1086.802 6.2475.7595.328 4.946 4.607 4.303 | 4.031 10 9.4718.983 8.530 8.1117.7227.3606.7106.145 5.6505.216 4.8334.494 4.192 11 10.3689.787 9.253 8.7608.306 7.8877.1396.4955.9385.453 5.0294.656 4.327 12 11.255 10.5759.9549.3858.8638.3847.5366.814 6.1945.6605.1974.7934.439 13 12.134 11.348 10.635 9.9869.3948.8537.9047.103 6.4245.8425.3424.910 4.533 14 13.004 12.106 11.296 10.5639.899 9.2958.2447.367 6.628 6.0025.4685.008 4.611 15 13.865 12.849 11.938 11.118 10.380 9.712 8.5597.606 6.811 6.142 5.575 5.092 4.675 20 18.046 16.351 14.877 13.590 12.462 11.470 9.818 8.514 7.469 6.6235.9295.353 4.870 25 22.023 19.523 17.413 15.622 14.094 12.783 10.675 9.077 7.843 6.873 6.0975.467 4.948 30 25.80822.396 19.600 17.292 15.372 13.765 11.2589.4278.0557.0036.1775.517 4.979 Print Done