Assume you make the following investments Part 1 of 3 O Points: 0 of 2 You invest a lump sum of $7.250 for three years at 14% interest What is the investment's value at the end of three years? In a different account eaming 14% interest, you invest $2.417 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 present value factor table) (Click the icon to view the future value annuity factor table) (Click the icon to view the present value annuity factor table) You invest a lump sum of $7.250 for three years at 14% interest. What is the investment's value at the and of three years? (Round your answer to the nearest whole dollar) Investments value a. You invest a lump sum of $7 Investments value= Reference dollar) Future Value of $1 4% 5% Period Period Period 10 1.083 1.172 1.267 1369 1004 1195 1.305 1423 1.105 1219 1344 Period 11 1.116 1.243 1304 Period 12 Period 13 Period 14 1456 1806 2.191 2653 3207 4202 Periods 1% 2% 3% 0% 8% 10% 12% 16% 18% 20% Period 1 1010 1020 1.000 1040 1.050 1000 1080 1.100 1.120 1.140 1.150 1.380 1.200 Period 2 1.020 1.040 1.061 1.062 1.103 1124 1.166 1210 1.254 1.300 1346 1332 1440 Period 3 1.000 1061 1.083 1.125 1.158 1.191 1260 1331 1405 1482 1561 1643 1728 Period 4 1041 1.082 1.126 1.170 1216 1.262 1.360 1464 1574 1689 1.811 1.900 2074 Period 5 1.051 1.104 1.159 1217 1276 1.338 1469 1611 1.762 1925 2.100 2288 2458 Period 6 1.062 1.126 1.194 1.255 1.340 1419 1587 1772 1974 2.195 2436 2700 2.966 Period 7 1072 1.149 1.230 1316 1407 1504 1.714 1949 2211 2502 2826 3.185 3.583 1477 1.594 1851 2.144 2.476 2853 3.278 3.759 4.300 1.551 1689 1999 2354 2773 3252 3.803 4435 5160 1.450 1629 1.791 2.159 2.594 3.106 3707 4.411 5.234 6.192 1.539 1.710 1898 2332 2.8533479 4226 5117 6178 7430 1.127 1268 1426 1.601 1796 2012 2518 3.138 38 4.818 5.936 7.288 8916 1.138 1294 1.400 1.665 18 2133 2720 3.452 4.363 5492 6.806 8500 1.149 1319 1513 1732 1.900 2201 2937 3797 4887 6261 7088 10.147 Period 15 1.161 1346 1.558 1801 2079 2397 3172 4.177 5474 7.138 9266 11 974 Period 20 1.220 6727 5646 13743 19.461 27.393 38.338 Period 25 1.282 1641 2004 2.666 3.366 17.000 26.462 40 874 62 669 95.306 Period 36 1348 1811 2.427 3243 4322 5743 29 900 Period 40 1.49 2.200 3262 4.801 7040 10 206 14% 10.699 12.839 15407 4661 6846 10 835 10063 17 449 21 725 45 250 93 051 50 950 85 850 143371 237376 188 884 378.721 750 370 1.469 772 Print Done Reference a. You invest a lump sum of $7,250 Investment's value Reference 1% Present Value of $1 Periods 2% 3% 4% 5% 6% 8% 10% 12% 14% 16% 18% 20% Period 1 0.990 0.980 0.871 0.962 0.952 0.943 0.926 0.909 0.893 0.877 0.862 0847 0833 Period 2 0.980 0.961 0.943 0.925 0.907 0.890 0.857 0.826 0.797 0.709 0.743 0.718 0694 Period 3 0.971 0.942 0.915 0.889 0.864 0.840 0794 0.751 0712 0.675 0.641 0.609 0579 Period 4 0.961 0.924 0.888 0.855 0823 0792 0.735 0.683 0.636 0.582 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 0437 0.402 Period 6 Period 7 Period Period 0942 0888 0.837 0.790 0.746 0.705 0.630 0.564 0.507 0.456 0.410 0.370 0.335 0.933 0871 0813 0.760 0.711 0.665 0.583 0.513 0452 0.400 0.354 0314 0.279 0.923 0.853 0.789 0731 0677 0.627 0.540 0.467 0404 0.351 0.305 0.266 0.233 0914 0837 0.766 0703 0.645 0.592 0.500 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 0322 0.270 0227 0.191 0.162 Period 11 0.896 0.804 0.722 0.650 0.585 0.527 0.429 0.350 0287 0237 0195 0.162 0.135 Period 12 0887 0788 0.701 0625 0.557 0497 0.397 0.319 0257 0.208 0.588 0.137 0.112 Period 13 0.879 0.773 0.681 0.601 0.530 0.469 0368 0290 0229 0182 0.145 0.116 0.093 Period 14 0.870 0.758 0.661 0.577 0505 0442 0.340 0.263 0.205 0.160 0.125 0.099 0.078 Period 15 0.861 0.743 0642 0.555 0.481 0417 0315 0.239 0.183 0.140 0.108 0.084 0.065 Period 20 0.820 0.673 0.554 0.456 0377 0312 0.215 0.149 0.104 0073 0.051 0.037 0026 Period 25 0780 0.610 0478 0.375 0295 0233 0.146 0092 0059 0038 0.024 0.016 0.010 Period 30 0.742 0.552 0412 0.306 0231 0.174 0.099 0.057 0.003 0.020 0012 0007 0.004 Period 40 0672 0453 0307 0208 0.142 0097 0046 0022 0.011 0.005 0.000 0.001 0.001 Print Done hole dollar) (Click the icon to view the future value factor table) (Click the icon to view the a. You invest a lump sum of a Investments value Reference (Click the icon to view the future value annuity factor table.) Reference Future Value of Annuity of $1 Periods 1% 2% Period 2 Period 7 Period 3% 4% Period 1 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1000 1.000 2010 2.000 2030 2040 2.050 2060 2.000 2100 2120 Period 3 3030 3060 3091 3.122 3153 3.184 3.246 3350 3374 Period 4 4060 4122 4.184 4246 4.350 4.375 4.506 4641 4779 Period 5 5101 5.204 5.300 5416 5.526 5437 5867 6505 6353 Period 6 6152 6.308 6408 6633 6.802 6975 7336 7716 8115 7214 7434 7.062 7898 8.142 8304 8923 9457 10.089 8.206 8.583 8892 9214 9.897 10637 11.436 12 300 5% 15 10% 12% 14% 16% 18% 20% 1000 1000 1.000 1.000 2140 2160 2180 2.200 3.440 3.506 3572 3643 9.549 4521 6610 8536 8577 9442 9930 10.730 11.414 12.142 12.916 13.233 14.240 15327 5066 5215 5368 6877 7.154 7442 15.400 Period 9309 9755 10.159 10.583 11 027 11.491 12.488 13579 14.776 16 085 17519 19088 20 790 Period 10 10.462 10 950 11.454 12.006 12.578 13 181 14.487 15.937 17.549 19337 21.321 23521 25.959 Period 11 11.567 12.169 12.808 13.486 14.207 14 972 15.645 18.531 20 655 23 045 25733 28755 32.150 Period 12 12.683 13412 14.192 15.026 15.917 16.870 18 977 21.364 24.133 27 271 30950 34931 39.581 Period 13 13.809 14.680 15.618 16.627 17.713 18882 21 495 Period 14 14.347 15.974 17.080 18.202 13599 21.015 24.215 Period 15 16.097 17.293 18.599 20004 21.579 23.276 27 152 Period 20 24 523 27.575 32 393 31.772 37.250 22.019 24.297 26.870 29.778 33.066 36.785 45 762 57.275 72 052 26 029 32009 36.785 42219 48.497 37581 43672 50818 58.196 43342 $1,000 60965 72.006 91.325 115.300 146.428 106.688 Period 25 28.243 32 000 36.459 Period 30 34785 40 568 47 575 41646 47.727 54.865 73.106 90.347 133.334 56 085 181871 249.254 342 803 471 901 06.439 79 058 113.283 164.404 241.333 356 787 630312 790 948 1,181 882 Period 40 45 506 60 400 25.401 95 026 120 800 154 782 259 057 442 593 767 091 1342 025 2.360 757 4163 213 7.343 858 Print Done What general rule of thumb explains the difference in the investments' future values? lick the icon to view the future value factor table.) Click the icon to view the preseg for three years. What is the investment's value at the end of three years? (Click the icon to view the future value annuity factor table.) Reference Reference - X invest a lump sum of $7,250 f stment's value Periods hole doitlar.) Present Value of Annuity of $1 1% 2% 3% 4% 5% 6% 8% 10% 12% 14% 16% 18% 20% Period 1 0.990 0.980 0.971 0962 0.952 0.943 0.926 0909 0.893 0.877 0.862 0.847 0.833 Period 2 1970 1942 1913 1.886 1859 1833 1.763 1.736 1.600 1.647 1.605 1.566 1.528 Period 3 2.941 2.834 2.829 2.775 2.723 2673 2577 2487 2402 2.322 2.246 2.174 2.106 Period 4 3.902 3.808 3.717 3630 3.546 3.465 3312 3.170 3037 2914 2.798 2600 2.589 Period 5 4.853 4713 4580 4.452 4.329 4212 3.990 3.791 3.605 3.433 3.274 3127 2991 Period 6 5795 5.601 5.417 5242 5076 4.917 4.623 4.355 4.111 3.899 3685 3.490 3.326 Period 7 6728 6.472 6230 6.002 5786 5582 5.206 4.868 4.564 4.285 4.039 3812 3.605 Period & 7.652 7.325 7020 6.733 6463 6210 5747 5305 4.908 4639 4344 4.075 3.837 Period 8.566 8.162 7.786 7.435 7.108 6.802 $247 5758 5328 4.946 4.607 4303 4031 Period 10 9.471 8.983 8.530 8.111 7.722 7.360 6710 6145 5650 5216 4833 4,494 4.192 Period 11 10.368 9.787 9.253 8.760 8306 7.887 7139 6.495 5938 5.453 5029 4.656 4.327 Period 12 11.255 10.575 9.954 9.385 8.863 8364 7.536 6314 6154 5660 5.197 4.793 4.439 Period 13 12.134 11.348 10 635 9 906 9394 8853 7.504 7.103 6.424 5842 5342 4.910 4.533 Period 14 13.004 12.106 11.296 10 563 9899 9.295 8.244 7367 6628 6.002 5.468 5008 4611) Period 15 13.865 12.849 11.938 11.118 10.380 9.712 8.559 7605 6811 6142 5575 5092 4675 Period 20 18.046 16.351 14.877 13.500 12.462 11.470 9.818 8.514 7.469 8623 5929 5.353 4.870 Period 25 22.023 19.523 17 413 15 622 14.094 12.783 10 675 9.077 7.343 6873 6097 5.467 4.948 Period 30 25.808 22.396 19 600 17 292 15.372 13.785 11.258 9.427 8.055 7.003 6.177 5.517 Period 40 32.835 27 355 23.115 10.793 17.159 15.045 11.925 9779 8244 7105 6233 5545 4997 4979 Print Done