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. $7,750 per year at the end of each of the next eight years 2. $50,100 (lump sum) now 3. $100,250 (lump sum) eight years from now (Click the icon to view Present Value of $1 table.) (Click the icon to view Present Value of Ordinary Annuity of $1 table.) Read the requirements. Requirement 1. Calculate the present value of each scenario using an 8% discount rate. Which scenario yields the highest present value? (Round the factors to three decimal places, X.XXX. Round the present value to the nearest whole dollar.) Scenario 1,8% discount rate, Present value = Scenario 2,8% discount rate, Present value = Scenario 3, 8% discount rate, Present value = 70,576 appears to be the best option. Based on an 8% interest rate, its present value is the Requirement 2. Would your preference change if you used a 12% discount rate? Compute the present value of each scenario using a 12% discount rate. (Round the factors to three decimal places, X.XXX. Round the present value to the nearest whole dollar.) Scenario 1, 12% discount rate, Present value = Scenario 2, 12% discount rate, Present value = MUT Scenario 3, 12% discount rate, Present value = appears to be the best option. Based on a 12% interest rate its present value is the Present Value of $1 15% ? 7% 0.935 0.873 0.816 0.763 0.713 8% 0.926 0.857 0.794 0.735 0.681 Periods 1% 2% 3% 4% 5% 6% Period 1 0.990 0.980 0.971 0.962 0.952 0.943 Period 2 0.980 0.961 0.943 0.925 0.907 0.890 Period 3 0.971 0.942 0.915 0.889 0.864 0.840 Period 4 0.961 0.924 0.888 0.855 0.823 0.792 Period 5 0.951 0.906 0.863 0.822 0.784 0.747 Period 6 0.942 0.888 0.837 0.790 0.746 0.705 Period 7 0.933 0.871 0.813 0.760 0.711 0.665 Period 8 0.923 0.853 0.789 0.731 0.677 0.627 Period 9 0.914 0.837 0.766 0.703 0.645 0.592 Period 10 0.905 0.820 0.744 0.676 0.614 0.558 Period 11 0.896 0.804 0.722 0.650 0.585 0.527 Period 12 0.887 0.788 0.701 0.625 0.557 0.497 Period 13 0.879 0.773 0.681 0.601 0.530 0.469 Period 14 0.870 0.758 0.661 0.577 0.505 0.442 Period 15 0.861 0.743 0.642 0.555 0.481 0.417 Period 16 0.853 0.728 0.623 0.534 0.458 0.394 Period 17 0.844 0.714 0.605 0.513 0.436 0.371 Period 18 0.836 0.700 0.587 0.494 0.416 0.350 Period 19 0.828 0.686 0.570 0.475 0.396 0.331 Period 20 0.820 0.673 0.554 0.456 0.377 0.312 9% 10% 12% 14% 16% 18% 20% 0.917 0.909 0.893 0.877 0.870 0.862 0.847 0.833 0.842 0.826 0.797 0.769 0.756 0.743 0.7180.694 0.772 0.751 0.712 0.675 0.658 0.641 0.609 0.579 0.708 0.683 0.636 0.592 0.572 0.552 0.516 0.482 0.650 0.621 0.567 0.519 0.497 0.476 0.437 0.402 0.596 0.564 0.507 0.456 0.432 0.410 0.370 0.335 0.547 0.513 0.452 0.400 0.376 0.354 0.314 0.279 0.502 0.467 0.404 0.351 0.327 0.305 0.266 0.233 0.460 0.424 0.361 0.308 0.284 0.263 0.225 0.194 0.422 0.386 0.322 0.270 0.247 0.227 0.191 0.162 0.666 0.623 0.582 0.544 0.508 0.630 0.583 0.540 0.500 0.463 0.475 0.444 0.415 0.388 0.362 0.429 0.397 0.368 0.340 0.315 0.388 0.350 0.287 0.237 0.215 0.195 0.162 0.135 0.356 0.319 0.257 0.208 0.187 0.168 0.137 0.112 0.326 0.290 | 0.229 0.182 0.163 0.145 0.116 0.093 0.299 0.263 0.205 0.160 0.141 0.125 0.099 0.078 0.275 0.239 0.183 0.140 0.123 0.108 0.084 0.065 0.252 0.218 0.163 0.123 0.107 0.093 0.071 0.054 0.231 0.198 0.146 0.108 0.093 0.080 0.060 0.045 0.212 0.180 0.130 0.095 0.081 0.069 0.051 0.038 0.194 0.164 0.116 0.083 0.070 0.060 0.043 0.031 0.178 0.149 0.104 0.073 0.061 0.051 0.037 0.026 0.339 0.317 0.296 0.277 0.258 0.292 0.270 0.250 0.232 0.215 15% 0.870 1.626 2.283 2.855 3.352 16% 0.862 1.605 2.246 2.798 3.274 18% 20% 0.847 0.833 1.566 1.528 2.174 2.106 2.690 2.589 3.127 2.991 Present Value of Ordinary Annuity of $1 Periods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 14% 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 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 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 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 Period 5 4.853 4.713 4.580 4.452 4.329 4.212 4.100 3.993 3.890 3.791 3.605 3.433 Period 6 5.795 5.601 5.417 5.242 5.076 4.917 4.767 4.623 4.4864.355 4.111 3.889 Period 7 6.728 6.472 6.230 6.002 5.786 5.582 5.389 5.206 5.033 4.868 4.564 4.288 Period 8 7.652 7.325 7.020 6.733 6.463 6.210 5.971 5.747 5.535 5.335 4.968 4.639 Period 9 8.566 8.162 7.786 7.435 | 7.108 6.802 6.515 6.247 5.9955.759 5.328 4.946 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 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 Period 12 11.255 10.575 | 9.954 9.385 8.863 8.384 7.943 7.5367.1616.814 6.194 5.660 Period 13 12.134 11.348 10.635 | 9.986 9.394 8.853 8.358 7.9047.487 7.103 6.424 5.842 Period 14 13.004 12.106 11.296 | 10.563 9.899 9.295 8.745 8.244 7.786 7.367 6.628 6.002 Period 15 13.865 12.849 11.938 11.118 10.3809.712 9.108 8.559 8.061 7.606 6.811 6.142 Period 16 14.718 13.578 12.561 11.652 10.838 10.106 9.447 8.851 8.313 7.824 6.9746.265 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 Period 18 16.398 14.992 13.754 12.659 11.690 10.828 10.059 9.3728.756 3.201 7.250 6.467 Period 19 17.226 15.678 14.32413.134 12.085 11.158 10.336 9.604 8.950 8.365 7.366 6.550 Period 20 18.046 16.35 14.877 13.590 12.462 11.470 10.594 9.818 9.129 8.514 7.469 6.623 3.784 4.160 4.487 4.772 5.019 3.685 3.498 3.326 4.039 3.812 3.605 4.344 4.078 3.837 4.607 4.303 4.031 4.833 4.494 4.192 5.234 5.421 5.583 5.724 5.847 5.029 5.197 5.342 5.468 5.575 4.656 4.327 4.793 4.439 4.910 4.533 5.008 4.611 5.092 4.675 5.954 6.047 6.128 6.198 6.259 5.669 5.1624.730 5.749 5.222 4.775 5.818 5.2734.812 5.877 5.316 4.844 5.929 5.353 4.870