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 nine 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. 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 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 table.) Data table Future Value of $1 \begin{tabular}{|l|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline Periods & 1% & 2% & 3% & 4% & 5% & 6% & 8% & 10% & 12% & 14% & 16% & 18% & 20% \\ \hline Period 1 & 1.010 & 1.020 & 1.030 & 1.040 & 1.050 & 1.060 & 1.080 & 1.100 & 1.120 & 1.140 & 1.160 & 1.180 & 1.200 \\ Period 2 & 1.020 & 1.040 & 1.061 & 1.082 & 1.103 & 1.124 & 1.166 & 1.210 & 1.254 & 1.300 & 1.346 & 1.392 & 1.440 \\ Period 3 & 1.030 & 1.061 & 1.093 & 1.125 & 1.158 & 1.191 & 1.260 & 1.331 & 1.405 & 1.482 & 1.561 & 1.643 & 1.728 \\ Period 4 & 1.041 & 1.082 & 1.126 & 1.170 & 1.216 & 1.262 & 1.360 & 1.464 & 1.574 & 1.689 & 1.811 & 1.939 & 2.074 \\ Period 5 & 1.051 & 1.104 & 1.159 & 1.217 & 1.276 & 1.338 & 1.469 & 1.611 & 1.762 & 1.925 & 2.100 & 2.288 & 2.488 \\ Period 6 & 1.062 & 1.126 & 1.194 & 1.265 & 1.340 & 1.419 & 1.587 & 1.772 & 1.974 & 2.195 & 2.436 & 2.700 & 2.986 \\ Period 7 & 1.072 & 1.149 & 1.230 & 1.316 & 1.407 & 1.504 & 1.714 & 1.949 & 2.211 & 2.502 & 2.826 & 3.185 & 3.583 \\ Period 8 & 1.083 & 1.172 & 1.267 & 1.369 & 1.477 & 1.594 & 1.851 & 2.144 & 2.476 & 2.853 & 3.278 & 3.759 & 4.300 \\ Period 9 & 1.094 & 1.195 & 1.305 & 1.423 & 1.551 & 1.689 & 1.999 & 2.358 & 2.773 & 3.252 & 3.803 & 4.435 & 5.160 \\ Period 10 & 1.105 & 1.219 & 1.344 & 1.480 & 1.629 & 1.791 & 2.159 & 2.594 & 3.106 & 3.707 & 4.411 & 5.234 & 6.192 \\ Period 11 & 1.116 & 1.243 & 1.384 & 1.539 & 1.710 & 1.898 & 2.332 & 2.853 & 3.479 & 4.226 & 5.117 & 6.176 & 7.430 \\ Period 12 & 1.127 & 1.268 & 1.426 & 1.601 & 1.796 & 2.012 & 2.518 & 3.138 & 3.896 & 4.818 & 5.936 & 7.288 & 8.916 \\ Period 13 & 1.138 & 1.294 & 1.469 & 1.665 & 1.886 & 2.133 & 2.720 & 3.452 & 4.363 & 5.492 & 6.886 & 8.599 & 10.699 \\ Period 14 & 1.149 & 1.319 & 1.513 & 1.732 & 1.980 & 2.261 & 2.937 & 3.797 & 4.887 & 6.261 & 7.988 & 10.147 & 12.839 \\ Period 15 & 1.161 & 1.346 & 1.558 & 1.801 & 2.079 & 2.397 & 3.172 & 4.177 & 5.474 & 7.138 & 9.266 & 11.974 & 15.407 \\ Period 20 & 1.220 & 1.486 & 1.806 & 2.191 & 2.653 & 3.207 & 4.661 & 6.727 & 9.646 & 13.743 & 19.461 & 27.393 & 38.338 \\ Period 25 & 1.282 & 1.641 & 2.094 & 2.666 & 3.386 & 4.292 & 6.848 & 10.835 & 17.000 & 26.462 & 40.874 & 62.669 & 95.396 \\ Period 30 & 1.348 & 1.811 & 2.427 & 3.243 & 4.322 & 5.743 & 10.063 & 17.449 & 29.960 & 50.950 & 85.850 & 143.371 & 237.376 \\ Period 40 & 1.489 & 2.208 & 3.262 & 4.801 & 7.040 & 10.286 & 21.725 & 45.259 & 93.051 & 188.884 & 378.721 & 750.378 & 1.469 .772 \\ \hline \end{tabular} Future Value of Annuity of $1 Present Value of $1 \begin{tabular}{|l|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline Periods & 1% & 2% & 3% & 4% & 5% & 6% & 8% & 10% & 12% & 14% & 16% & 18% & 20% \\ \hline Period 1 & 0.990 & 0.980 & 0.971 & 0.962 & 0.952 & 0.943 & 0.926 & 0.909 & 0.893 & 0.877 & 0.862 & 0.847 & 0.833 \\ Period 2 & 0.980 & 0.961 & 0.943 & 0.925 & 0.907 & 0.890 & 0.857 & 0.826 & 0.797 & 0.769 & 0.743 & 0.718 & 0.694 \\ 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 \\ Period 4 & 0.961 & 0.924 & 0.888 & 0.855 & 0.823 & 0.792 & 0.735 & 0.683 & 0.636 & 0.592 & 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 & 0.437 & 0.402 \\ Period 6 & 0.942 & 0.888 & 0.837 & 0.790 & 0.746 & 0.705 & 0.630 & 0.564 & 0.507 & 0.456 & 0.410 & 0.370 & 0.335 \\ Period 7 & 0.933 & 0.871 & 0.813 & 0.760 & 0.711 & 0.665 & 0.583 & 0.513 & 0.452 & 0.400 & 0.354 & 0.314 & 0.279 \\ 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 & 0.645 & 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 & 0.322 & 0.270 & 0.227 & 0.191 & 0.162 \\ Period 11 & 0.896 & 0.804 & 0.722 & 0.650 & 0.585 & 0.527 & 0.429 & 0.350 & 0.287 & 0.237 & 0.195 & 0.162 & 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 & 0.137 & 0.112 \\ 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 & 0.456 & 0.377 & 0.312 & 0.215 & 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 & 0.016 & 0.010 \\ 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 \\ \hline \end{tabular} Reference 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