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. $50,250 (lump sum) now 3. $100,050 (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. Reference Present Value of $1 Periods Period 1 Period 2 Period 3 Requirement 1. Calculate the present value of each scenario using a 6% 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 1,6% discount rate, Present value = Period 4 Scenario 2, 6% discount rate, Present value = Scenario 3, 6% discount rate, Present value = appears to be the best option. Based on a 6% interest rate, its present value is the Requirement 2. Would your preference change if you used a 10% discount rate? Compute the present value of each scenario using a 10% discount rate. (Round the factors to three decimal places, X.XXX. Round the present value to the nearest whole dollar.) Scenario 1, 10% discount rate, Present value = Scenario 2, 10% discount rate, Present value = Scenario 3, 10% discount rate, Present value = appears to be the best option. Based on a 10% interest rate, its present value is the Requirements 1. Calculate the present value of each scenario using a 6% discount rate. Which scenario yields the highest present value? Round to the nearest whole dollar. 2. Would your preference change if you used a 10% discount rate? - X eference Print Done 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 14% 15% 16% 18% 20% 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.909 0893 0.877 0.870 0.862 0.847 0.833 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 0.694 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 0.579 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 0.516 0.482 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 0.437 0.402 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 0.370 0.335 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 0.314 0.279 Period 8 0.923 0.853 0.789 0.731 0.677 0.627 0.582 0.540 0.502 0.467 0.404 0.351 0.327 0.305 0.266 0.233 Period 9 0.914 0.837 0.766 0.703 0.645 0.592 0.544 0.500 0.460 0.424 0.361 0.308 0.284 0.263 0.225 0.194 Period 10 0.905 0.820 0.744 0.676 0.614 0.558 0.508 0.463 0.422 0.386 0.322 0.270 0.247 0.227 0.191 0.162 Period 11 0.896 0.804 0722 0.650 0585 0.527 0.475 0.429 0.388 0.350 0.287 0237 0.215 0.195 0.162 0.135 Period 12 0701 0.887 0.788 0.625 0.557 0.497 0.444 0.397 0.356 0319 0.257 0.208 0.187 0.168 0.137 0.112 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 0.093 0.661 Period 14 0.870 0.758 0.577 0.505 0.442 0.388 0.340 0.299 0.263 0.205 0.160 0.141 0.125 0.099 0.078 Period 15 0.861 0.743 0.642 0.555 0.481 0.417 0.362 0.315 0.275 0.239 0.183 0.140 0.123 0.108 0.084 0.065 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 0.071 0.054 Period 17 0.844 0.714 0.605 0.513 0.436 0.371 0.317 0.270 0.231 0.198 0.146 0.108 0.093 0.080 0.060 0.045 Period 18 0.836 0.700 0.587 0.494 0.416 0.350 0.296 0.250 0.212 0.180 0.130 0.095 0.081 0.069 0.051 0.038 Period 19 0.828 0.686 0.570 0.475 0.396 0.331 0.277 0.232 0.194 0.164 0.116 0.083 0.070 0.060 0.043 0.031 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 0.037 0.026 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 0.031 0.022 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 0.026 0.018 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 0.022 0.015 Period 24 0.788 0.622 0.492 0.390 0.310 0.247 0.197 0.158 0.126 0.102 0.066 0.043 0.035 0.028 0.019 0.013 Period 25 0.780 0.610 0.478 0.375 0.295 0.233 0.184 0.146 0.116 0.092 0.059 0.038 0.030 0.024 0.016 0.010 Period 26 0.772 0.598 0.464 0.361 0.281 0.220 0.172 0.135 0.106 0.084 0.053 0.033 0.026 0.021 0.014 0.009 Period 27 0.764 0.586 0.450 0.347 0.268 0.207 0.161 0.125 0.098 0.076 0.047 0.029 0.023 0.018 0.011 0.007 Period 28 0.757 0.574 0.437 0.333 0.255 0.196 0.150 0.116 0.090 0.069 0.042 0.026 0.020 0.016 0.010 0.006 Period 29 0.749 0.563 0.424 0.321 0.243 0.185 0.141 0.107 0.082 0.063 0.037 0.022 0.017 0.014 0.008 0.005 Period 30 0.742 0.552 0.412 0.308 0.231 0.174 0.131 0.099 0.075 0.057 0.033 0.020 0.015 0.012 0.007 0.004 0.067 Period 40 0.672 0.453 0.307 0.208 0.142 0.097 0.046 0.032 0.022 0.011 0.005 0.004 0.003 0.001 0.001 Period 50 0.608 0.372 0.228 0.141 0.087 0.054 0.034 0.021 0.013 0.009 0.003 0.001 0.001 0.001 Present Value of Ordinary Annuity of $1 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 0.870 0.862 0.847 0.833 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 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 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 4.853 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 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 6.728 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 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 4.487 4.344 4.078 3.837 Period 9 8.566 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 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 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 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 4.793 4.439 Period 13 12.134 11.348 10.635 9.986 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 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 5.724 5.468 5.008 4.611 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 5.669 5.162 4.730 Period 16 Period 17 Period 18 Period 19 Period 20 Period 21 18.857 17.011 15.415 14.029 12.821 11.764 10.836 10.017 9.292 8.649 7.562 6.687 6.312 5.973 5.384 4.891 Period 22 19.660 17.658 15.937 14.451 13.163 12.042 11.061 10.201 9.442 8.772 7.645 6.743 6.359 6.011 5.410 4.909 Period 23 20.456 18.292 16.444 14.857 13.489 12.303 11.272 10.371 9.580 8.883 7.718 6.792 6.399 6.044 5.432 4.925 Period 24 21.243 18.914 16.936 15.247 13.799 12.550 11.469 10.529 9.707 8.985 7.784 6.835 6.434 6.073 5.451 4.937 Period 25 22.023 19.523 17.413 15.622 14.094 12.783 11.654 10.675 9.823 9.077 7.843 6.873 6.464 6.097 5.467 4.948 14.718 13.578 12.561 11.652 10.838 10.106 9.447 8.851 8.313 7.824 6.974 6.265 5.954 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 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 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 18.046 16.351 14.877 13.590 12.462 11.470 10.594 9.818 9.129 8.514 7.469 6.623 6.259 5.929 5.353 4.870 Period 26 22.795 20.121 17.877 15.983 14.375 13.003 11.826 10.810 9.929 9.161 7.896 6.906 6.491 6.118 5.480 4.956 Period 27 23.560 20.707 18.327 16.330 14.643 13.211 11.987 10.935 10.027 9.237 7.943 6.935 6.514 6.136 5.492 4.964 Period 28 24.316 21.281 18.764 16.663 14.898 13.406 12.137 11.051 10.116 9.307 7.984 6.961 6.534 6.152 5.502 4.970 Period 29 25.066 21.844 19.188 16.984 15.141 13.591 12.278 11.158 10.198 9.370 8.022 6.983 6.551 6.166 5.510 4.975 25.808 22.396 19.600 17.292 15.372 13.765 12.409 11.258 10.274 9.427 Period 30 Period 40 Period 50 32.835 27.355 23.115 19.793 17.159 15.046 13.332 11.925 10.757 9.779 39.196 31.424 25.730 21.482 18.256 15.762 13.801 12.233 10.962 9.915 8.055 7.003 6.566 6.177 5.517 4.979 8.244 7.105 6.642 6.233 5.548 4.997 8.304 7.133 6.661 6.246 5.554 4.999 Print Done