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Congratulations! You've won a state lotto! The state lottery offers you the following (after-tax) payout options: B (Click the icon to view the payout options.)
Congratulations! You've won a state lotto! The state lottery offers you the following (after-tax) payout options: B (Click the icon to view the payout options.) (Click the icon to view the present 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 icon to view the future value annuity factor table.) Requirement Assuming that you can earn 6% 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: Enter any number in the edit fields and then click Check Answer. ? 3 parts Clear All Check Answer remaining Option #1: $13,000,000 five years from now Option #2: $2,100,000 at the end of each year for the next five years Option #3: $10,500,000 four years from now Present Value of $1 Periods Period 1 Period 2 Period 3 Period 4 Period 5 1% 0.990 0.980 0.971 0.961 0.951 2% 0.980 0.961 0.942 0.924 0.906 3% 0.971 0.943 0.915 0.888 0.863 4% 0.962 0.925 0.889 0.855 0.822 5% 0.952 0.907 0.864 0.823 0.784 6% 0.943 0.890 0.840 0.792 0.747 8% 0.926 0.857 0.794 0.735 0.681 10% 0.909 0.826 0.751 0.683 0.621 12% 0.893 0.797 0.712 0.636 0.567 14% 0.877 0.769 0.675 0.592 0.519 16% 0.862 0.743 0.641 0.552 0.476 18% 0.847 0.718 0.609 0.516 0.437 20 0.8 0.6 0.5 0.4 0.4 Period 6 0.942 Period 7 0.933 Period 8 0.923 Period 9 0.914 Period 10 0.905 0.888 0.871 0.853 0.837 0.820 0.837 0.813 0.789 0.766 0.744 0.790 0.760 0.731 0.703 0.676 0.746 0.711 0.677 0.645 0.614 0.705 0.665 0.627 0.592 0.558 0.630 0.583 0.540 0.500 0.463 0.564 0.513 0.467 0.424 0.386 0.507 0.452 0.404 0.361 0.322 0.456 0.400 0.351 0.308 0.270 0.410 0.354 0.305 0.263 0.227 0.370 0.314 0.266 0.225 0.191 0.3 0.2 0.2 0.1 0.1 Period 11 0.896 Period 12 0.887 Period 13 0.879 Period 14 0.870 Period 15 0.861 0.804 0.788 0.773 0.758 0.743 0.722 0.701 0.681 0.661 0.642 0.650 0.625 0.601 0.577 0.555 0.585 0.557 0.530 0.505 0.481 0.527 0.497 0.469 0.442 0.417 0.429 0.397 0.368 0.340 0.315 0.350 0.319 0.290 0.263 0.239 0.287 0.257 0.229 0.205 0.183 0.237 0.208 0.182 0.160 0.140 0.195 0.168 0.145 0.125 0.108 0.162 0.137 0.116 0.099 0.084 0.1 0.1 0.0 0.0 0.0 O O O O O Period 20 0.820 Period 25 0.780 Period 30 0.742 Period 40 0.672 0.673 0.610 0.552 0.453 0.554 0.478 0.412 0.307 0.456 0.375 0.308 0.208 0.377 0.295 0.231 0.142 0.312 0.233 0.174 0.097 0.215 0.146 0.099 0.046 0.149 0.092 0.057 0.022 0.104 0.059 0.033 0.011 0.073 0.038 0.020 0.005 0.051 0.024 0.012 0.003 0.037 0.016 0.007 0.001 0.0 0.0 0.0 0.01 Future Value of $1 Periods Period 1 Period 2 Period 3 Period 4 Period 5 1% 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 5% 1.050 1.103 1.158 1.216 1.276 6% 1.060 1.124 1.191 1.262 1.338 8% 1.080 1.166 1.260 1.360 1.469 10% 1.100 1.210 1.331 1.464 1.611 12% 1.120 1.254 1.405 1.574 1.762 14% 1.140 1.300 1.482 1.689 1.925 16% 1.160 1.346 1.561 1.811 2.100 18% 1.180 1.392 1.643 1.939 2.288 Period 6 Period 7 Period 8 Period 9 Period 10 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 1.265 1.316 1.369 1.423 1.480 1.340 1.407 1.477 1.551 1.629 1.419 1.504 1.594 1.689 1.791 1.587 1.714 1.851 1.999 2.159 1.772 1.949 2.144 2.358 2.594 1.974 2.211 2.476 2.773 3.106 2.195 2.502 2.853 3.252 3.707 2.436 2.826 3.278 3.803 4.411 2.700 3.185 3.759 4.435 5.234 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 1.539 1.601 1.665 1.732 1.801 1.710 1.796 1.886 1.980 2.079 1.898 2.012 2.133 2.261 2.397 2.332 2.518 2.720 2.937 3.172 2.853 3.138 3.452 3.797 4.177 3.479 3.896 4.363 4.887 5.474 4.226 4.818 5.492 6.261 7.138 5.117 5.936 6.886 7.988 9.266 6.176 7.288 8.599 10.147 11.974 Period 20 Period 25 Period 30 Period 40 1.220 1.282 1.348 1.489 1.486 1.641 1.811 2.208 1.806 2.094 2.427 3.262 2.191 2.666 3.243 4.801 2.653 3.386 4.322 7.040 3.207 4.661 6.727 4.292 6.848 10.835 5.743 10.063 | 17.449 10.286 21.725 45.259 9.646 13.743 19.461 | 27.393 17.000 26.462 40.87462.669 29.960 50.950 85.850 143.37 93.051 188.884 378.721 750.37 Present Value of Annuity of $1 2% 8% Periods Period 1 Period 2 Period 3 Period 4 Period 5 1% 0.990 1.970 2.941 3.902 4.853 0.980 1.942 2.884 3.808 4.713 3% 4% 5% 0.971 0.962 0.952 1.913 1.886 1.859 2.829 2.775 2.723 3.717 3.630 3.546 4.580 4.452 4.329 6% 10% 12% 0.943 0.926 0.909 0.893 1.833 1.783 1.736 1.690 2.673 2.577 2.487 2.402 3.465 3.312 3.170 3.037 4.2123.993 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 2.589 2.991 Period 6 5.795 Period 7 6.728 Period 8 7.652 Period 9 8.566 Period 10 9.471 5.601 6.472 7.325 8.162 8.983 5.417 5.242 5.076 4.917 6.2306.002 5.786 5.582 7.020 6.733 6.463 6.210 7.786 7.435 7.108 6.802 8.530 8.111 7.722 7.360 4.623 4.355 4.111 5.206 4.868 4.564 5.747 5.335 4.968 6.247 5.759 5.328 6.710 6.145 5.650 3.889 4.288 4.639 4.946 5.216 3.685 4.039 4.344 4.607 4.833 3.498 3.812 4.078 4.303 4.494 3.326 3.605 3.837 4.031 4.192 Period 11 10.36 .78 8.760 8.30 387 7.139 6.49 5.93 Period 12 11.255 10.575 9.954 9.385 8.863 8.384 7.536 6.8146.194 Period 13 12.134 11.348 10.635 9.986 9.394 8.853 7.904 7.103 6.424 Period 14) 13.004 12.106 11.296 | 10.563 9.899 9.295 8.244 7.3676.628 Period 15 13.865 12.849 11.938 11.118 10.380 9.712 8.559 7.606 6.811 5.453 5.660 5.842 6.002 6.142 5.029 5.197 5.342 5.468 5.575 4.793 4.910 5.008 5.092 4.327 4.439 4.533 4.611 4.675 Period 20 18.046 16.351 14.877 13.590 | 12.462 | 11.470 9.818 8.514 7.469 Period 25 22.023 19.523 17.413 15.622 14.094 12.783 10.675 9.077 7.843 Period 30 25.808 22.396 19.600 17.292 15.372 | 13.765 11.258 9.4278.055 Period 40 32.835 27.355 23.115 19.793 17.159 | 15.046 11.925 9.779 | 8.244 6.623 6.873 7.003 7.105 5.929 6.097 6.177 6.233 5.353 5.467 5.517 5.548 4.870 4.948 4.979 4.997 Future Value of Annuity of $1 Periods Period 1 Period 2 Period 3 Period 4 Period 5 1% 1.000 2.010 3.030 4.060 5.101 2% 1.000 2.020 3.060 4.122 5.204 3% 1.000 2.030 3.091 4.184 5.309 4% 1.000 2.040 3.122 4.246 5.416 5% 1.000 2.050 3.153 4.310 5.526 6% 1.000 2.060 3.184 4.375 5.637 8% 1.000 2.080 3.246 4.506 5.867 10% 1.000 2.100 3.310 4.641 6.105 12% 1.000 2.120 3.374 4.779 6.353 14% 1.000 2.140 3.440 4.921 6.610 16% 1.000 2.160 3.506 5.066 6.877 Period 6 Period 7 Period 8 Period 9 Period 10 6.152 6.308 6.468 6.633 6.802 6.975 7.336 7.214 7.434 7.662 7.898 8.142 8.394 8.923 8.286 8.583 8.892 9.214 9.549 9.897 10.637 9.369 9.755 10.159 10.583 11.027 11.491 12.488 10.462 10.950 11.464 12.006 12.578 13.181 | 14.487 7.716 8.115 9.487 10.089 11.436 12.300 13.579 14.776 15.937 | 17.549 8.536 10.730 13.233 16.085 19.337 8.977 11.414 14.240 17.519 21.321 Period 11 11.567 12.169 12.808 13.486 14.207 14.972 16.645 18.531 20.655 Period 12 12.683 13.412 14.192 15.026 15.917 16.870 18.977 21.384 24.133 Period 13 13.809 14.680 15.618 | 16.627 17.713 18.882 21.495 24.523 28.029 Period 14 14.947 15.974 17.086 18.292 19.599 21.015 24.215 | 27.975 32.393 Period 15 | 16.097 | 17.293 | 18.599 20.024 21.579 23.276 27.152 31.772 37.280 23.045 27.271 32.089 37.581 43.842 25.733 30.850 36.786 43.672 51.660 Period 20 22.019 24.297 26.870 29.778 33.066 36.786 45.762 57.275 72.052 91.025 115.380 Period 25 28.243 32.030 36.459 41.646 47.727 54.865 73.106 98.347 133.334 181.871 249.214 Period 30 34.785 40.568 47.575 56.085 66.439 79.058 113.283 164.494 241.333 356.787 530.312 Period 40 48.886 60.402 | 75.401 95.026 120.800 | 154.762 259.057 442.593 767.091|1,342.025 2,360.7574, 3 parts remaining
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