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. 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.) 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 Future value of Option 1 Data table Option 1: Option 2: $995,000 now Option 3: $150,000 at the end of each year for the next ten years $1,650,000 ten years from now Reference Future Value of $1 Periods 1% 2% 3% 4% 5% 6% 8% 10% 12% 14% 16% 18% 20% 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 Period 41 1.041 1.082 1.126 1.170 1.216 1.262 1.360 1.464 1.574 1.689 1.811 1.939 Period 5 1.051 1:104 1.159 1.217 1.276 1.338 1469 1.611 1.762 1.925 2.100 2.288 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 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 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 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 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 Period 11 1.116 Period 12 1.127 Period 13 1.138 1.728 2.074 2.488 2.986 3.583 4.300 5.160 6.192 7.430 8.916 10.699 12.839 15.407 1.243 1.384 1.539 1.710 1.898 2.332 2.853 3.479 4.226 5.117 6.1767 1.268 1.426 1.601 1.796 2.012 2.518 3.138 3.896 4.818. 5.936 7.288 1.294 1.469 1.665 1.886 2.133 2.720 3.452 4.363 5.492 6.886 8.599 Period 14 1.149 1.319 1513 1.732 1.980 2.261 2.937 3.797 4.887 6.261 7.988 10.147 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) 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 93.051 188.884378.721 750.3781,469.772