Question
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
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. $8,000 per year at the end of each of the next six years
2. $50,250 (lump sum) now
3. $98,500 (lump sum) six years from now
(these tables go further, I can re-upload if you need the numbers to continue down the charts)
Requirement 1. Calculate the present value of each scenario using a 6% discount rate. Which scenario yields the highest present value? (round factors to 3 decimal places).
Options for drop-down box one: Scenario 1, Scenario 2, Scenario 3
Options for drop-down box two: highest, lowest
Requirement 2. Would your preference change if you used a 12% discount rate? (round 3 decimal places)
Options for drop-down box one: Scenario 1, Scenario 2, Scenario 3
Options for drop-down box two: highest, lowest
Present value of $1 Periods 1 OWN 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 7% 0.935 0.873 0.816 0.763 0.713 8% 0.926 0.857 0.794 0.735 0.681 9% 0.917 0.842 0.772 0.708 0.650 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 15% 0.870 0.756 0.658 0.572 0.497 16% 0.862 0.743 0.641 0.552 0.476 18% 0.847 0.718 0.609 0.516 0.437 20% 0.833 0.694 0.579 0.482 0.402 6 7 8 9 10 0.942 0.933 0.923 0.914 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 0.666 0.623 0.582 0.544 0.508 0.630 0.583 0.540 0.500 0.463 0.596 0.547 0.502 0.460 0.422 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 0.432 0.376 0.327 0.284 0.247 0.410 0.354 0.305 0.263 0.227 0.370 0.314 0.266 0.225 0.191 0.335 0.279 0.233 0.194 0.162 11 12 13 14 15 0.896 0.887 0.879 0.870 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 0.475 0.444 0.415 0.388 0.362 0.429 0.397 0.368 0.340 0.315 0.388 0.356 0.326 0.299 0.275 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 0.215 0.187 0.163 0.141 0.123 0.195 0.168 0.145 0.125 0.108 0.162 0.137 0.116 0.099 0.084 0.135 0.112 0.093 0.078 0.065 16 17 18 19 20 0.853 0.844 0.836 0.828 0.820 0.728 0.714 0.700 0.686 0.673 0.623 0.605 0.587 0.570 0.554 0.534 0.513 0.494 0.475 0.456 0.458 0.436 0.416 0.396 0.377 0.394 0.371 0.350 0.331 0.312 0.339 0.317 0.296 0.277 0.258 0.292 0.270 0.250 0.232 0.215 0.252 0.231 0.212 0.194 0.178 0.218 0.198 0.180 0.164 0.149 0.163 0.146 0.130 0.116 0.104 0.123 0.108 0.095 0.083 0.073 0.107 0.093 0.081 0.070 0.061 0.093 0.080 0.069 0.060 0.051 0.071 0.060 0.051 0.043 0.037 0.054 0.045 0.038 0.031 0.026 0.660 21 22 23 24 25 0.811 0.803 0.795 0.788 0.780 0.647 0.634 0.622 0.610 0.538 0.522 0.507 0.492 0.478 0.439 0.422 0.406 0.390 0.375 0.359 0.342 0.326 0.310 0.295 0.294 0.278 0.262 0.247 0.233 0.242 0.226 0.211 0.197 0.184 0.199 0.184 0.170 0.158 0.146 0.164 0.150 0.138 0.126 0.116 0.135 0.123 0.112 0.102 0.092 0.093 0.083 0.074 0.066 0.059 0.064 0.056 0.049 0.043 0.038 0.053 0.046 0.040 0.035 0.030 0.044 0.038 0.033 0.028 0.024 0.031 0.026 0.022 0.019 0.016 0.022 0.018 0.015 0.013 0.010 26 772 598 464 361 0 281 220 172 135 n 106 084 053 n33 26 0021 014 nong Present Value of Ordinary Annuity of $1 Periods 1 2 1% 0.990 1.970 2.941 3.902 4.853 2% 0.980 1.942 2.884 3.808 4.713 3% 0.971 1.913 2.829 3.717 4.580 4% 0.962 1.886 2.775 3.630 4.452 5% 0.952 1.859 2.723 3.546 4.329 6% 0.943 1.833 2.673 3.465 4.212 7% 0.935 1.808 2.624 3.387 4.100 8% 0.926 1.783 2.577 3.312 3.993 9% 0.917 1.759 2.531 3.240 3.890 10% 0.909 1.736 2.487 3.170 3.791 12% 0.893 1.690 2.402 3.037 3.605 14% 0.877 1.647 2.322 2.914 3.433 15% 0.870 1.626 2.283 2.855 3.352 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 3 4 5 6 7 8 9 10 5.795 6.728 7.652 8.566 9.471 5.601 6.472 7.325 8.162 8.983 5.417 6.230 7.020 7.786 8.530 5.242 6.002 6.733 7.435 8.111 5.076 5.786 6.463 7.108 7.722 4.917 5.582 6.210 6.802 7.360 4.767 5.389 5.971 6.515 7.024 4.623 5.206 5.747 6.247 6.710 4.486 5.033 5.535 5.995 6.418 4.355 4.868 5.335 5.759 6.145 4.111 4.564 4.968 5.328 5.650 3.889 4.288 4.639 4.946 5.216 3.784 4.160 4.487 4.772 5.019 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 11 12 13 14 15 10.368 11.255 12.134 13.004 13.865 9.787 9.253 8.760 10.575 9.954 9.385 11.348 10.635 9.986 12.106 11.296 10.563 12.849 11.938 11.118 8.306 8.863 9.394 9.899 10.380 7.887 8.384 8.853 9.295 9.712 7.499 7.943 8.358 8.745 9.108 7.139 7.536 7.904 8.244 8.559 6.805 7.161 7.487 7.786 8.061 6.495 6.814 7.103 7.367 7.606 5.938 6.194 6.424 6.628 6.811 5.453 5.660 5.842 6.002 6.142 5.234 5.421 5.583 5.724 5.847 5.029 5.197 5.342 5.468 5.575 4.656 4.793 4.910 5.008 5.092 4.327 4.439 4.533 4.611 4.675 16 17 18 19 20 14.718 | 13.578 12.561 11.652 10.838 10.106 9.447 15.562 14.292 13.166 12.166 11.274 10.477 9.763 16.398 14.992 13.754 | 12.659 11.690 10.828 10.059 17.226 15.678 14.324 13.134 | 12.085 11.158 10.336 18.046 16.351 | 14.877 13.590 | 12.462 11.470 10.594 8.851 9.122 9.372 9.604 9.818 8.313 8.544 8.756 8.950 9.129 7.824 8.022 8.201 8.365 8.514 6.974 7.120 7.250 7.366 7.469 6.265 6.373 6.467 6.550 6.623 5.954 6.047 6.128 6.198 6.259 5.669 5.749 5.818 5.877 5.929 5.162 5.222 5.273 5.316 5.353 4.730 4.775 4.812 4.844 4.870 21 22 23 24 25 18.857 17.011 15.415 14.029 12.821 | 11.764 10.836 10.017 19.660 17.658 15.937 14.451 13.163 12.042 11.061 10.201 20.456 18.292 16.444 14.857 | 13.489 12.303 | 11.272 10.371 21.243 18.914 16.936 15.247 | 13.799 | 12.550 11.469 10.529 22.023 19.523 17.413 | 15.622 14.094 | 12.783 11.654 10.675 9.292 9.442 9.580 9.707 9.823 8.649 8.772 8.883 8.985 9.077 7.562 7.645 7.718 7.784 7.843 6.687 6.743 6.792 6.835 6.873 6.312 6.359 6.399 6.434 6.464 5.973 6.011 6.044 6.073 6.097 5.384 5.410 5.432 5.451 5.467 4.891 4.909 4.925 4.937 4.948 Present Value Scenario 1: Scenario 2: Scenario 3: appears to be the best option. Based on a 6% interest rate, its present value is the Present Value Scenario 1: Scenario 2: Scenario 3: appears to be the best option. Based on a 12% interest rate, its present value is theStep by Step Solution
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