Congratulations! You've won a state lottol The state lottery offers you the following (after-tax) payout options: Option #1: $13,000,000 six years from now Option #2: $2,000,000 at the end of each year for the next six years Option #3: $12,000,000 four years from now Present Value of $1 Periods 1% 2% 3% 4% 5% 6% 8% 10% 12% 14% 16% 18% 20% Period 1 0.990 0.980 0.97 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 Perlod 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 0.586 0.527 0.429 0.360 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 0.506 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 0.0200.012 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 Periods Period 1 Period 2 Period 3 Period 4 Period 5 Period 6 Period 7 Period 8 Period 9 Period 10 Future Value of $1 1% 2% 3% 4% 5% 6% 8% 10% 12% 14% 16% 18% 20% 1.010 1.020 1.030 1.040 1.050 1.0601.080 1.100 1.120 1.140 1.160 1.180 1.200 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 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 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 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 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 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 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 1.094 1.195 1305 1.423 1.551 1.689 1.999 2.358 2.773 3.252 3.803 4.435 5.160 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 1.116 1243 1.384 1.539 11710 1.898 2.3322853 3.479 4226 5.117 6.176 7.430 1.127 1.268 1,426 1.601 1.796 2.012 2.518 3.138 3.896 4.818 5.9367288 8.916 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 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 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 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 1.282 1.641 2094 2.666 3.386 4.292 6.848 10.83517.000 26.462 40.874 62.669 95.396 1.348 1.811 2.427 3243 4.322 5.743 10.063 17.449 29.960 50.950 85.850 143.371 237376 1.489 2.208 3.262 4.801 7.040 10 286 21.725 45.259 93.051 188.884 378.721 750.3781,469.772 Period 11 Period 12 Period 13 Period 14 Period 15 Period 20 Period 25 Period 30 Perlod 40 Present Value of Annuity of $1 Periods 1% 2% 3% 4% 5% 6% 8% 10% 12% 14% 16% 18% 20% 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 1.970 1942 1913 1.886 1.859 1.833 1.783 1.736 1.690 1.647 1.605 1.566 1.528 Period 3 2.941 2.884 2.829 2.775 2.723 2.673 2.577 2.487 2402 2.322 2.246 2.174 2.106 Period 4 3.902 3.808 3.717 3.630 3.546 3.465 3.312 3.170 3.037 2.914 2.798 2.690 2.589 Period 5 4.853 4713 4.580 4.452 4.329 4.212 3.993 3.791 3.605 3.433 3.274 3.127 2.991 Period 6 5.795 5.601 5.417 5.242 5.076 4.917 4.623 4.355 4.111 3.889 3.685 3.498 3.326 Perlod 7 6.728 6,472 6.230 6.002 5.786 5.582 5.206 4.868 4.564 4.288 4.039 3.812 3.605 Period 8 7.652 7.325 7.020 6.733 6.463 6.210 5.747 5.336 4.968 4.639 4.344 4.078 3.837 Period 9 8.566 8.162 7786 7.435 7.108 6.802 6.247 5.759 5.328 4.946 4.607 4.303 4.031 Period 10 9.471 8.983 8.530 8.1117.722 7.360 6.710 6.145 5.650 5.216 4.833 4.494 4.192 Period 11 10.368 9.787 9.253 8.760 8.306 7.887 7.139 6.495 5.938 6.453 5.029 4.656 4.327 Period 12 11.255 10.575 9.954 9.385 8.863 8.384 7.536 6.814 6.194 5.660 5.197 4.793 4.439 Period 13 12.134 11.348 10.635 9.986 9.394 8.853 7.904 7.103 6.424 5.842 5.342 4.910 4.533 Period 14 13.004 12.106 11.296 10.563 9.899 9.295 8.244 7.3676.628 6.002 5.468 5.008 4.611 Period 15 13.865 12.849 11.938 11.118 10.380 9.712 8.559 7.606 6.811 6.142 5.575 5.092 4.675 Period 20 18.046 16.351 14.877 13.590 12.462 11.470 9.818 8.514 7.469 6.623 5.929 5.353 4.870 Period 25 22.023 19.523 17413 15.622 14.094 12.783 10.875 9.077 7.843 6.873 6.097 5.467 4.948 Period 30 25.808 22 396 19.600 17.292 15.372 13.766 11 2589.4278.0557.003 6.177 5.517 4.979 Period 40 32.835 27 365 23.115 19.793 17.159 15.046 11.925 9.779 8.244 7.105 6.233 5.548 4.997 Periods Period 1 Period 2 Period 3 Period 4 Period 5 Period 6 Period 7 Period B Period 9 Period 10 Period 11 Period 12 Period 13 Period 14 Period 15 Period 20 Period 25 Period 30 Period 40 Future Value of Annuity of $1 1% 2% 3% 4% 5% 6% 8% 10% 12% 14% 16% 18% 20% 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 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 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 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 5.101 5.204 5.309 5.416 5.526 5.637 5.867 6.106 6.353 6.610 6.877 7.154 7.442 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 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 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 9.369 9.755 10.159 10.583 11.027 11491 12.488 13.579 14.776 16.085 17.519 19.086 20.799 10.462 10.950 11.464 12.006 12.578 13.181 14.48715.937 17 549 19.337 21.321 23.521 25.959 11.567 12.169 12.808 13,486 14.207 14.972 16.646 18.531 20.655 23.045 25.733 28.755 32.150 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 13.809 14.680 15.618 16.627 17.713 18.882 21495 24523 28.029 32.089 36.786 42.219 48.497 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 16.097 17 29318.599 20.024 21.579 23.276 27.152 31.772 37.280 43.842 51.660 60.965 72.035 22.019 2429726.870 29.778 33.066 36.786 45.762 57 27572 052 91.025 115.380 146.628 186.688 28 243 32.030 36.459 41.646 47.727 54,866 73.106 98.347 133.334181.871 249.214 342.603 471.981 34.785 40.568 47.575 56.085 66.43979.058 113 283 164.494 241 333 356.787 530.312 790.948 1,181.882 48.886 60.402 75401 96.026 120.800 154.762 259.057/442 593 767.0911342025 2.360.757 4 163 213 7.343.858 Congratulations! You've won a state lotto! The state lottery offers you the following (after-tax) payout options: (Click the icon to view the payout options.) (Click the icon to view the prosent value factor table) (Click the icon to view the present value annuity factor table.) (Click the icon to view the future value factor table) (Click the loon to view the future value annuity factor table.) Requirement Assuming that you can earn 8% on your funds, which option would you prefer? (Round your answers to the nearest whole dollar.) Calculate the present value for each payout. Option #1