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Data table Reference Reference Reference Listed below are three lottery palyout options. Cick the icon to view the lotlery payout options.) Rather than compare the payout options at their present values, compare the payout options at their future value fen years from now. a. Using an 8% interest rate, what is the future value of each payout option? b. Rank your praterence of payout options. c. 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 tabile.) (Cick the icon to view the future value annuity factor table.) (Ciick the icon to view the present value factor tabie.) (Click the icon to view the present value annuity factor table.) a. Using an 8% 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 \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline \multicolumn{14}{|c|}{ Future Value of Annuity of $1} \\ \hline Periods & 1% & 2% & 3% & 4% & 5% & 6% & 8% & 10% & 12% & 14% & 16% & 18% & 209% \\ \hline 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 \\ \hline Period 2 & 2.010 & 2.020 & 2.030 & 2.040 & 2.050 & 2.060 & 2.080 & 2.100 & 2.120 & 2.140 & 2.160 & 2.180 & 2.200 \\ \hline 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 \\ \hline Period 4 & 4.060 & 4.122 & 4.184 & 4.246 & 4.310 & 4.375 & 4.506 & 4.641 & 4.779 & 4.921 & 5.066 & 5.215 & 5.368 \\ \hline Period 5 & 5.101 & 5.204 & 5.309 & 5.416 & 5.526 & 5.637 & 5.867 & 6.105 & 6.353 & 6.610 & 6.877 & 7.154 & 7.442 \\ \hline Period 6 & 6.152 & 6.308 & 6.468 & 6.633 & 6.802 & 6.975 & 7.336 & 7.716 & 8.115 & 8.536 & 8.977 & 9.442 & 9.930 \\ \hline Period 7 & 7.214 & 7.434 & 7.662 & 7.898 & 8.142 & 8.394 & 8.923 & 9.487 & 10.089 & 10.730 & 11.414 & 12.142 & 12.916 \\ \hline Period 8 & 8.286 & 8.583 & 8.892 & 9.214 & 9.549 & 9.897 & 10.637 & 11.436 & 12.300 & 13.233 & 14.240 & 15.327 & 16.499 \\ \hline 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 \\ \hline 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 & 25.959 \\ \hline Period 11 & 11.567 & 12.169 & 12.808 & 13.486 & 14.207 & 14.972 & 16.645 & 18.531 & 20.655 & 23.045 & 25.733 & 28.755 & 32.150 \\ \hline 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 \\ \hline Period 13 & 13.809 & 14.680 & 15.618 & 16.627 & 17.713 & 18.882 & 21.495 & 24.523 & 28.029 & 32.089 & 36.786 & 42.219 & 48.497 \\ \hline 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 & 59.196 \\ \hline Period 15 & 16.097 & 17.293 & 18.599 & 20.024 & 21.579 & 23.276 & 27.152 & 31.772 & 37.280 & 43.842 & 51.660 & 60.965 & 72.035 \\ \hline 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 & 186.688 \\ \hline Period 25 & 28.243 & 32.030 & 36.459 & 41.646 & 47.727 & 54.865 & 73.106 & 98.347 & 133.334 & 181.871 & 249.214 & 342.603 & 471.981 \\ \hline Period 30 & 34.785 & 40.568 & 47.575 & 56.085 & 66.439 & 79.058 & 113.283 & 164.494 & 241.333 & 356.787 & 530.312 & 790.948 & 1,181.882 \\ \hline Period 40 & 48.886 & 60.402 & 75.401 & 95.026 & 120.800 & 154.762 & 259.057 & 442.593 & 767.091 & 1,342.025 & 2,360.757 & 4,163.213 & 7,343.858 \\ \hline \end{tabular}