1. Calculate the present value of each scenario using % discount rate. Which scenario yields the highest present value? Round to the nearest whole dollar.2. Would your preference change if you used a % discount rate?Your grandfather would like to share some of his fortune with you. He offers to give you money under one of the following scenarios (you get to choose):1. $ 8,250 per year at the end of each of the next years2. $ 48,350 (lump sum) now3. $ 100,250 (lump sum) years from now
eference Reference Present Value of $1 Present Value of Ordinary Annuity of $1 Periods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 14% 15% 16% 18% Periods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 14% 15% 16% 18% 20% Period 1 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.909 0.893 0.877 7 0.870 0.862 0.847 Period 1 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.909 0.893 0.877 0.870 0.862 0.847 0.833 Period 2 0.980 0.961 0.943 0.925 0.907 0.890 0.873 0.857 0.842 0.826 0.797 0.769 0.756 0.743 0.718 Period 2 1.970 1.942 1.913 1.886 1.859 1.833 1.808 1.783 1.759 1.736 1.690 1.647 1.626 1.605 1.566 1.528 Period 3 0.971 0.942 0.915 0.889 0.864 0.840 0.816 0.794 0.772 0.751 0.712 0.675 0.658 0.641 0.609 Period 3 2.941 2.884 2.829 2.775 2.723 2.673 2.624 2.577 2.531 2.487 2.402 2.322 2.283 2.246 2.174 2.106 Period 4 0.961 0.924 0.888 0.855 0.823 0.792 0.763 0.735 0.708 0.683 0.636 0.592 0.572 0.552 0.51 Period 4 3.902 3.808 3.717 3.630 3.546 3.465 3.387 3.312 3.240 3.170 3.037 2.914 2.855 2.798 2.690 2.589 Period 5 0.951 0.906 0.863 0.822 0.784 0.747 0.713 0.681 0.650 0.621 0.567 0.519 0.497 0.476 0.43 Period 5 1.853 4.713 4.580 4.452 4.329 4.212 4.100 3.993 3.890 3.791 3.605 3.433 3.352 3.274 3.127 2.991 Period 6 0.942 0.888 0.837 0.790 0.746 0.705 0.666 0.630 0.596 0.564 0.507 0.456 0.432 0.410 0.37 Period 6 5.795 5.601 5.417 5.242 5.076 4.917 4.767 4.623 4.486 4.355 4.111 3.889 3.784 3.685 3.498 3.326 Period 7 0.933 0.871 0.813 0.760 0.711 0.665 0.623 0.583 0.547 0.513 0.452 0.400 0.376 0.354 0.31 Period 7 5.728 6.472 6.230 6.002 5.786 5.582 5.389 5.206 5.033 4.868 4.564 4.288 4.160 4.039 3.812 3.605 0.923 0.853 0.789 9 0.731 0.677 0,627 0.582 0.540 0.502 0.467 0.404 0.351 0.327 0.305 0.26 Period 8 .652 7.325 7.020 6.733 6.463 6.210 5.971 5.747 5.535 5.335 4.968 4.639 4.487 4.344 4.078 3.837 Period 8 0.766 0.703 0.645 0.592 0.544 0.500 0.460 0.424 0.361 0.308 0.284 0.263 0.22 Period 9 3.566 8.162 7.786 7.435 7.108 6.802 6.515 6.247 5.995 5.759 5.328 4.946 4.772 4.607 4.303 4.031 Period 9 0.914 0.837 0.744 0.676 0.614 0.558 0.508 0.463 0.422 0.386 0.322 0.270 0.247 0.227 0.19 Period 10 9.471 8.983 8.530 8.111 7.722 7.360 7.024 6.710 6.418 6.145 5.650 5.216 5.019 4.833 4.494 4.192 Period 10 0.905 0.820 Period 11 0.896 0.804 0.722 0.650 0.585 0.527 0.475 0.429 0.388 0.350 0.287 0.237 0.215 0.195 0.16 Period 11 10.368 9.787 9.253 8.760 8.306 7.887 7.499 7.139 6.805 6.495 5.938 5.453 5.234 5.029 4.656 4.327 0.356 0.319 0.257 0.208 0.187 0.168 0.137 Period 12 11.255 10.575 9.954 9.385 8.863 8.384 7.943 7.536 7.161 6.814 6.194 5.660 5.421 5.197 4.439 Period 12 0.827 0.738 0.701 0.625 0.497 0.444 0.397 4.793 0.557 9.394 8.853 8.358 7.904 7.487 7.103 6.424 5.842 5.583 5.342 4.910 4.533 Period 13 0.879 0.773 0.681 0.601 0.530 0.469 0.415 0.368 0.326 0.290 0.229 0.182 0.163 0.145 0.116 Period 13 12.134 11.348 10.635 9.986 7.786 7.367 6.628 6.002 5.724 5.468 5.008 4.611 Period 14 0.870 0.758 0.661 0.577 0.505 0.442 0.388 0.340 0.299 0.263 0.205 0.160 0.141 0.125 0.09 Period 14 13.004 12.106 11.296 10.563 9.899 9.295 8.745 8.244 0.239 0.183 0.140 0.123 0.108 0.08 Period 15 13.865 12.849 11.938 11.118 10.380 9.712 9.108 8.559 8.061 7.606 6.811 6.142 5.847 5.575 5.092 4.675 Period 15 0.861 0.743 0.642 0.555 0.481 0417 0.362 0.315 0.275 6.974 6.265 5.954 5.669 5.162 4.730 Period 16 0.853 0.728 0.623 0.534 0.458 0.394 0.339 0.292 0.252 0.218 0.163 0.123 0.107 0.093 0.07 Period 16 14.718 13.578 12.561 11.652 10.838 10.106 9.447 8.851 8.313 7.824 0.231 0.198 0.146 0.108 0.093 0.080 0.060 Period 17 15.562 14.292 13.166 12.166 11.274 10.477 9.763 9.122 8.544 8.022 7.120 6.373 6.047 5.749 5.222 4.775 Period 17 0.844 0.714 0.605 0.513 0.436 0.371 0.317 0.270 16.398 14.992 13.754 12.659 11.690 10.828 10.059 9.372 8.756 8.201 7.250 6.467 6.128 5.818 5.273 4.812 Period 18 0.836 0.700 0.587 0.484 0416 0.350 0.296 0.250 0.212 0.180 0.130 0.095 0.081 0.069 0.05 Period 18 0.083 0.070 0.060 0.043 Period 19 17.226 15.678 14.324 13.134 12.085 11.158 10.336 9.604 8.950 8.365 7.366 6.550 6.198 5.877 5.316 4.844 Period 19 0.828 0.686 0.570 0.475 0.396 0.331 0.277 0.232 0.194 0.164 0.116 9.129 8.514 7.469 6.623 6.259 5.929 5.353 4.870 Period 20 0.820 0.673 0.554 0.456 0.377 0.312 0.258 0.215 0.178 0.149 0.104 0.073 0.061 0.051 0.03 Period 20 18.046 16.351 14.877 13.590 12.462 11.470 10.594 9.818 7.562 6.687 6.312 5.973 5.384 4.891 Period 21 0.811 0.660 0.538 0.439 0.359 0.294 0.242 0.199 0.164 0.135 0.093 0.064 0.053 0.044 0.03 Period 21 18.857 17.011 15.415 14.029 12.821 11.764 10.836 10.017 9.292 8.649 14.451 13.163 12.042 11.061 1 10.201 9.442 8.772 7.645 6.743 6.359 6.011 5.410 4.909 Period 22 0.803 0.647 0.522 0.422 0.342 0.278 0.226 0.184 0.150 0.123 0.083 0.056 0.046 0.038 0.02 Period 22 19.660 17.658 15.937 7.718 6.792 6.399 6.044 5.432 4.925 Period 23 0.795 0.634 0.507 0/406 0.326 0.262 0.211 0.170 0.138 0.112 0.074 0.049 0.040 0.033 .027 Period 23 20.456 18.292 16.444 14.857 13.489 12.303 11.272 10.371 9.580 8.883 Print Done Print 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