please help and show work so I can understand. thank you!

Listed below are three lottery payout options. (Click the icon to view the lottery payout options) Rather than compare the payout options at their present values, compare the payout options at their future value ten years from now a. Using a 6% interest rate, what is the future value of each payout option? b. Rank your preference of payout options. Does computing the future value rather than the present value of the options change your preference of payout options? Explain (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 C. a. Using a 6% interest rate, what is the future value of each payout option? Compute the future value of each payout option (Round your answers to the nearest whole dollar) Future value of Option 1 5% interest rate, what is the future value of each payout option? ur preference of payout options. mputing the future value rather than the present value of the options change your preference of payou icon to view the future value factor table.) (Click the icon to view the future value anni icon to view the present value factor table ElClick the icon to view the present value an inte i Data Table - x utur fo Option 1: Option 2: Option 3: $990,000 now $153,000 at the end of each year for the next ten years $1,600,000 ten years from now Print Done Rather than compare the pavout options at their present values compare the pavout options at their future value ten vears fr Reference Future Value of $1 1% 4% 6% Periods Period 1 Period 2 Period 3 Period 4 Period 5 Period 6 Period 7 Period 8 Period 9 Period 10 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 a ch 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 1.266 1.316 1.369 1,423 1.480 5% 8% 10% 12% 14% 16% 18% 20% 1.050 1.060 1.080 1.100 1.120 1.140 1.160 1.180 1.200 1.103 1.124 1.166 1.210 1.254 1.300 1.346 1.392 1.440 1.158 1.191 1.260 1.331 1.405 1,482 1.561 1.643 1.728 1.216 1.262 1.360 1.464 1.574 1.689 1.811 1.939 2.074 1.276 1.338 1.469 1.611 1.762 1.925 2.100 2.288 2.488 1.340 1.419 1.587 1.772 1.974 2.195 2.436 2.700 2.986 1 407 1.504 1.714 1.949 2211 2.502 2.826 3.185 3.583 1.477 1.594 1.851 2 144 2476 2.853 3.278 3.759 4.300 1.551 1.689 1.999 2.358 2.773 3.252 3.803 4,435 5.160 1.629 1.791 2.159 2.594 3.106 3.707 4.411 5.234 6.192 1.710 1.898 2.332 2.853 3.479 4.226 6.117 6.176 7.430 1.796 2012 2.518 3.138 3.896 4.818 5.936 7.288 8.916 1.888 2.133 2.720 3.452 4.363 5.492 6.886 8.599 10.699 1.980 2 261 2.937 3.797 4.887 6.261 7.988 10.147 12.839 2.079 2397 3.172 4 177 6.474 7.138 9.266 11.974 15.407 2.653 3.207 4.661 6.727 9.646 13.743 19.461 27.393 38.338 3.396 4 292 6.848 10.835 17.000 26.462 40.87462.669 95 396 4.322 6.743 10.083 17 449 29 980 50.950 85.850 143.371 237 376 7.040 10 286 21726 46.259 93.061 188.884 378.7217503781,469.772 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 1.639 1.601 1.665 1.732 1.801 Period 20 Period 25 Period 30 Period 40 1 220 1 282 1.348 1.489 1486 1.641 1.811 2 208 1 806 2 094 2.427 3 262 2.191 2.666 3.243 4 801 Print Done Enter any number in the edit fields and then click Check Answer. 5 parts remaining Clear All Check Answer Rather than compare the pavout options at their present values.compare the pavout options at their future value ten vears. fr Reference E 5 a Future Value of Annuity of $1 Periods 1% 2% 3% 5% 6% 8% 10% 12% 14% 16% 18% 20% Period 1 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 Period 2 2010 2.020 2030 2.040 2.050 2060 2.080 2100 2.120 2140 2.160 2.180 2.200 Period 3 3.030 3.060 3.091 3.122 3.153 3.184 3.246 3.310 3.374 3.440 3.506 3.572 3.640 Period 4 4.060 4.122 4.184 4246 4.310 4.375 4.506 4.641 4.779 4.921 5.066 5.215 6.368 Period 5 5.101 5204 5.309 5.416 5.526 5.637 5.867 6.105 6.353 6.610 6.877 7.154 7.442 Period 6 6.152 6.308 6.468 6.633 6.802 6.976 7.336 7.716 8.115 8.536 8.977 9.442 9.930 Period 7 7.2147.4347,662 7.898 8.142 8.394 8.923 9.487 10.089 10.730 11.414 12.142 12.910 Period 8 8.286 8.583 8.892 9.214 9.549 9.897 10.637 11436 12.300 13.233 14.240 15.327 16.499 Period 9 9.369 9.755 10.159 10.583 11.027 11.491 | 12.488 13.579 14.776 16.085 17.519 19.086 20.799 Period 10 10.462 10.950 11.464 12.006 12.578 13.181 14.487 15.937 17.549 19.337 21 321 23.521 25.964 Period 11 11.567 12.169 12.808 13,486 14 207 14.972 16.646 18.631 20.655 23.045 25.733 28.755 32.150 Period 12 12.683 13.412 14.192 15.026 15.917 16 870 18.977 21.384 24.133 27.271 30 850 34 931 39.581 Period 13 13.809 14680 15.618 16.627 17.713 18.882 21 496 24.523 28.029 32.089 36.786 42.219 48.497 Period 14 14.947 15.974 17.086 18 292 19.599 21.015 24 215 27 975 32 393 37.581 43.672 50.818 69.196 Period 15 16,097 17 293 18.599 20.02421.579 23.276 27 152 31772 37.280 43.842 51.660 60.965 72.036 Period 20 22.019 24 297 26 870 29.778 33 066 36.786 45.762 57 275 72.052 91.025 115,380 146.628 186.68 Period 25 28.243 32 03036.459 41.646 47.727 54 865 73.106 98.347 133.334 181.871 249.214 342.603 471.98 Period 30 34.785 40.568 47.575 56.08566.439 79.058 113.283 164 494 241.333 366.787 630.312 790.948 1,181.86 Period 40 48.88660.402 75401 95.026 120.800 154.762 259.067 442.593767.091 1,342.0262 360 767 4,163.2137.343.86 Print Done hs? Rather than compare the payout options at their present values, compare the payout options at their future value ten years rom no a. US Reference b. Rd C. Da EX CE Present Value of $1 br able.) Periods 1% 2% 3% 4% 5% 6% 8% 10% 12% 14% 16% 18% 20% 9 (CH Period 1 0.990 0.980 0.971 0.962 0.952 0.943 0.926 0.909 0.893 0.877 0.8620.847 0.833 tor Period 2 0.980 0.961 0.943 0.925 0.907 0.890 0.857 0.826 0.797 0.769 0.743 0.7180.694 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 . Using Period 4 0.961 0.924 0.888 0.855 0.823 0.792 0.735 0.683 0.636 0.592 0.5520,516 0.482 Period 5 0.951 0.906 0.863 0.822 0.784 0.747 0.681 0.621 Compu 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 0456 0.410 0.370 0.335 Future Period 7 0.933 0.871 0.813 0.760 0.711 0.665 0.583 0.513 0.452 0.400 0.354 0.3140.279 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 0.6450.592 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 0.322 0.270 0.227 0.1910. 162 Period 11 0.896 0.80407220.650 0.585 0.527 0.429 0.350 0.287 0.237 0.1950.162 0.135 Period 12 0.887 0.788 0.701 0.625 0.557 0.497 0.397 0.319 0.257 0.208 0.168 0.1370.112 Period 13 0.879 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 20 0.820 0.673 0.554 0.4660.377 0.312 0215 0.149 0.104 0.073 0.051 0.037 0.026 Period 25 0.780 0.610 0.478 0.375 0.295 0.233 0.146 0.092 0.059 0.038 0.024 0.0160.010 Period 30 0.742 0.552 0.412 0.308 0.231 0.174 0.099 0.057 0.033 0.020 0.012 0.007 0.004 Period 40 0.672 0.453 0.307 0.208 0.142 0.097 0.046 0.022 0.011 0.005 0.003 0.001 0.001 Print Done compare Payout puons at their future value ten years nom US Ra Da EX i Reference hs 2 (CH Present Value of Annuity of $1 (CE Eto! 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 2775 3.808 3.717 3.630 4.713 4.580 4.452 5% 6% 8% 10% 12% 0.952 0.943 0.926 0.909 0.893 1.859 1.833 1.783 1.736 1.690 2.723 2.673 2.577 2.487 2.402 3.546 3.465 3.312 3.170 3.037 4.329 4.212 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 2589 2.991 sing nput ure 3.685 4039 4.344 4.607 4.833 3.498 3.812 4078 4303 4494 3.326 3.605 3.837 4.031 4.192 Period 6 5.795 5.601 5.417 5.242 5.076 4.917 4.623 4.355 4.111 3.889 Period 7 6.728 6.472 6.230 6.002 5.786 5.582 5.206 4.868 4.564 4.288 Period 8 7.652 7.325 7020 6733 6.463 6.210 5.747 5.335 4.968 4.639 Period 9 8.566 8.162 7.7867 435 7.108 6.8026.247 5.759 5.328 4.946 Period 10 9.471 8.983 | 8.530 8.111 7.722 7.360 6.710 6.145 5.650 5.216 Period 11 10.368 9.787 9.253 8.760 8.306 7.887 7.139 6.495 5.938 5.453 Period 12 11.255 10.575 9.954 9.385 8,8638.384 7.536 6.814 6.194 5.660 Period 13 12.134 11 348 10.636 9986 9.394 8.853 7.904 7.103 6.424 5.842 Period 14 13.004 12.106 11.296 10.663 9.899 9.295 8.244 7.367 6.628 6.002 Period 15 13.865 12.849 11.938 11.11810.380 9.712 8.559 7.606 6.811 6.142 Period 20 18.046 16.351 14.877 13.690 12.462 11.470 9.818 8.514 7.469 6.623 Period 25 22.023 19.523 17 413 15 622 14.094 12.783 10.675 9.077 7.843 6.873 Period 30 25.80822.396 19.600 17.292 15.372 13.765 11.2589,427 8056 7.003 Period 40 32.835 27 355 23.115 19.793 17.159 15.046 11.926 9.779 8.244 7.105 5.029 5.197 5.342 5.468 5.575 4.656 4.793 4.910 5.008 5.092 4.327 4439 4.533 4.611 4.675 5.929 6.097 6.177 6.233 5.353 5.467 5.517 5.548 4.870 4948 4.979 4.997 Print Done