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): (Click the icon to view the scenarios.) (Click the icon to view Present Value of $1 table.) (Click the icon to view Present Value of Ordinary Annuity of $1 table.) (Click the icon to view Future Value of $1 table.) (Click the icon to view Future Value Ordinary of Annuity of $1 table.) Read the requirements. Requirement 1. Calculate the present value of each scenario using a 6% discount rate. Which scenario yields the highest present value? Round to the nearest dollar. Begin by calculating the present value of each scenario using a 6% discount rate. (Round the amounts to the nearest dollar.) Present Value Scenario 1: Scenario 2: Scenario 3: appears to be the best option. Based on a 6% discount rate, its present value is the Requirement 2. Would your preference change if you used a 12% discount rate? Begin by calculating the present value of each scenario using a 12% discount rate. (Round the amounts to the nearest dollar.) Present Value Scenario 1: Scenario 2: Scenario 3: Using a 12% discount rate V change the preference in this problem. X 1 More Info 1. $8,550 per year at the end of each of the next six years 2. $40,040 (lump sum) now 3. $80,200 (lump sum) six years from now Print Done Present Value of $1 Periods 14% 15% 20% 1 1% 0.990 0.980 0.971 0.961 0.951 2 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 16% 0.862 0.743 0.641 0.877 0.769 0.675 0.592 0.519 0.870 0.756 0.658 0.572 0.497 3 18% 0.847 0.718 0.609 0.516 0.437 0.833 0.694 0.579 0.482 0.402 4 0.552 5 0.476 6 7 0.942 0.933 0.923 0.914 0.905 8 9 10 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 0.507 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 0.424 0.386 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 0.475 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 0.442 0.417 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 0.054 0.060 0.045 0.051 0.038 0.043 0.031 0.037 0.026 0.811 0.538 0.164 0.044 0.803 0.522 21 22 23 24 25 0.795 0.788 0.780 0.660 0.647 0.634 0.622 0.610 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 0.150 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 0.038 0.033 0.028 0.024 0.031 0.022 0.026 0.018 0.022 0.015 0.019 0.013 0.016 0.010 0.281 0.026 0.023 26 27 28 29 30 0.772 0.764 0.757 0.749 0.742 0.598 0.586 0.574 0.563 0.552 0.464 0.450 0.437 0.424 0.412 0.307 0.361 0.347 0.333 0.321 0.308 0.268 0.255 0.243 0.231 0.220 0.207 0.196 0.185 0.174 0.172 0.161 0.150 0.141 0.131 0.135 0.125 0.116 0.107 0.099 0.106 0.098 0.090 0.082 0.075 0.084 0.076 0.069 0.063 0.057 0.053 0.047 0.042 0.037 0.033 0.033 0.029 0.026 0.022 0.020 0.020 0.017 0.015 0.021 0.018 0.016 0.014 0.012 0.014 0.009 0.011 0.007 0.010 0.006 0.008 0.005 0.007 0.004 40 0.672 0.453 0.208 0.142 0.097 0.067 0.046 0.032 0.022 0.011 0.005 0.004 0.001 0.001 0.003 0.001 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 Future Value of $1 Periods 1 2 3 4 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 7% 1.070 1.145 1.225 1.311 1.403 8% 1.080 1.166 1.260 1.360 1.469 9% 1.090 1.188 1.295 1.412 1.539 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 15% 1.150 1.323 1.521 1.749 2.011 6 2.313 8 9 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 1.501 1.606 1.718 1.838 1.967 1.587 1.714 1.851 1.999 2.159 1.677 1.828 1.993 2.172 2.367 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 2.660 3.059 3.518 4.046 11 12 13 14 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 2.105 2.252 2.410 2.579 2.759 2.332 2.518 2.720 2.937 3.172 2.580 2.813 3.066 3.342 3.64. 2.853 3.138 3.452 3.798 4.177 3.479 3.896 4.363 4.887 5.474 4.226 4.818 5.492 6.261 7.138 4.652 5.350 6.153 7.076 8.137 16 17 18 19 20 1.173 1.184 1.196 1.208 1.220 1.373 1.400 1.428 1.457 1.486 1.605 1.653 1.702 1.754 1.806 1.873 1.948 2.026 2.107 2.191 2.183 2.292 2.407 2.527 2.653 2.540 2.693 2.854 3.026 3.207 2.952 3.159 3.380 3.617 3.870 3.426 3.700 3.996 4.316 4.661 3.970 4.328 4.717 5.142 5.604 4.595 5.054 5.560 6.116 6.727 6.130 6.866 7.690 8.613 9.646 8.137 9.276 10.58 12.06 13.74 9.358 10.76 12.38 14.23 16.37 21 22 23 24 25 1.232 1.245 1.257 1.270 1.282 1.516 1.546 1.577 1.608 1.641 1.860 1.916 1.974 2.033 2.094 2.279 2.370 2.465 2.563 2.666 2.786 2.925 3.072 3.225 3.386 3.400 3.604 3.820 4.049 4.141 4.430 4.741 5.072 5.427 5.034 5.437 5.871 6.341 6.848 6.109 6.659 7.258 7.911 8.623 7.400 8.140 8.954 9.850 10.83 10.80 12.10 13.55 15.18 17.00 15.67 17.86 20.36 23.21 26.46 18.82 21.64 24.89 28.63 32.92 4.292 26 27 28 29 30 1.295 1.308 1.321 1.335 1.348 1.673 1.707 1.741 1.776 1.811 2.157 2.221 2.288 2.357 2.427 2.772 2.883 2.999 3.119 3.243 3.556 3.733 3.920 4.116 4.322 4.549 4.822 5.112 5.418 5.743 5.807 6.214 6.649 7.114 7.612 7.396 7.988 8.627 9.317 10.06 9.399 10.25 11.17 12.17 13.27 11.92 13.11 14.42 15.86 17.45 19.04 21.32 23.88 26.75 29.96 30.17 34.39 39.20 44.69 50.95 37.86 43.54 50.07 57.58 66.21 40 1.489 2.208 3.262 4.801 7.040 10.29 14.97 21.72 31.41 45.26 93.05 188.9 267.9 50 1.645 2.692 4.384 7.107 11.47 18.42 29.46 46.90 74.36 117.4 289.0 700.2 1,084 12% 0.893 1.690 2.402 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 3.037 3.605 8 9 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 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 Present Value of Ordinary Annuity of $1 Periods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 1 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.909 1.970 1.942 1.913 1.886 1.859 1.833 1.808 1.783 1.759 1.736 2.941 2.884 2.829 2.775 2.723 2.673 2.624 2.577 2.531 2.487 3.902 3.808 3.717 3.630 3.546 3.465 3.387 3.312 3.240 3.170 4.853 4.713 4.580 4.452 4.329 4.212 4.100 3.993 3.890 3.791 6 5.795 5.601 5.417 5.242 5.076 4.917 4.767 4.623 4.486 4.355 7 6.728 6.472 6.230 6.002 5.786 5.582 5.389 5.206 5.033 4.868 7.652 7.325 7.020 6.733 6.463 6.210 5.971 5.747 5.535 5.335 8.566 8.162 7.786 7.435 7.108 6.802 6.515 6.247 5.995 5.759 10 9.471 8.983 8.530 8.111 7.722 7.360 7.024 6.710 6.418 6.145 11 10.368 9.787 9.253 8.760 8.306 7.887 7.499 7.139 6.805 6.495 12 11.255 10.575 9.954 9.385 8.863 8.384 7.943 7.536 7.161 6.814 13 12.134 11.348 10.635 9.986 9.394 8.853 8.358 7.904 7.487 7.103 14 13.004 12.106 11.296 10.563 9.899 9.295 8.745 8.244 7.786 7.367 15 13.865 12.849 11.938 11.118 10.380 9.712 9.108 8.559 8.061 7.606 16 14.718 13.578 12.561 | 11.652 10.838 10.106 9.447 8.851 8.313 7.824 17 15.562 14.292 13.166 12.166 11.274 10.477 9.763 9.122 8.544 8.022 18 16.398 14.992 13.754 12.659 11.690 10.828 10.059 9.372 8.756 8.201 19 17.226 15.678 14.324 13.134 12.085 11.158 10.336 9.604 8.950 8.365 20 18.046 16.351 14.877 | 13.590 12.462 | 11.470 10.594 9.818 9.129 8.514 21 18.857 17.011 15.415 14.029 12.821 | 11.764 10.836 10.017 9.292 8.649 22 19.660 17.658 15.937 14.451 13.163 12.042 11.061 10.201 9.442 8.772 23 20.456 18.292 | 16.444 14.857 13.489 | 12.303 11.272 10.371 9.580 8.883 24 21.243 18.914 16.936 15.247 13.799 12.550 11.469 10.529 9.707 8.985 25 22.023 19.523 17.413 15.622 14.094 | 12.783 11.654 10.675 9.823 9.077 26 22.795 20.121 | 17.877 15.983 14.375 13.003 11.826 10.810 9.929 9.161 27 23.560 20.707 18.327 16.330 14.643 13.211 11.987 10.935 10.027 9.237 28 24.316 21.28118.764 16.663 14.898 13.406 12.137 11.051 10.116 9.307 29 25.066 21.844 19.188 16.984 15.141 13.591 | 12.278 11.158 10.198 9.370 30 25.808 22.396 19.600 17.292 15.372 13.765 12.409 11.258 10.274 9.427 40 32.835 27.355 23.115 19.793 17.159 15.046 13.332 11.925 10.757 9.779 50 39.196 31.424 25.730 21.482 18.256 15.762 13.801 12.233 10.962 9.915 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 7.562 6.687 7.6456.743 7.718 6.792 7.784 6.835 7.843 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 7.896 7.943 7.984 8.022 8.055 6.906 6.935 6.961 6.983 7.003 6.491 6.514 6.534 6.551 6.566 6.118 6.136 6.152 6.166 6.177 5.480 5.492 5.502 5.510 5.517 4.956 4.964 4.970 4.975 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 Periods 2 3 4 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 Future Value of Ordinary Annuity of $1 4% 5% 6% 7% 8% 9% 1.000 1.000 1.000 1.000 1.000 1.000 2.040 2.050 2.060 2.070 2.080 2.090 3.122 3.153 3.184 3.215 3.246 3.278 4.246 4.310 4.375 4.440 4.506 4.573 5.416 5.526 5.637 5.751 5.867 5.985 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 15% 1.000 2.150 13.473 4.993 6.742 6 7 8 9 10 6.152 7.214 88.286 9.369 10.46 6.308 7.434 8.583 9.755 10.95 6.468 7.662 88.892 10.16 11.46 6.633 7.898 9.214 10.58 12.01 6.802 8.142 9.549 11.03 12.58 6.975 8.394 9.897 11.49 13.18 7.153 8.654 10.260 11.98 13.82 7.336 8923 10.64 12.49 14.49 7.523 9.200 11.03 13.02 15.19 7.716 9.487 11.44 13.58 15.94 8.115 10.09 12.30 14.78 17.55 8.536 10.73 13.23 16.09 19.34 8.754 11.07 13.73 16.79 20.30 11 12 13 14 15 11.57 12.68 13.81 14.95 16.10 12.17 13.41 14.68 15.97 17.29 12.81 14.19 15.62 17.09 18.60 13.49 15.03 16.63 18.29 20.02 14.21 15.92 17.71 19.60 21.58 14.97 16.87 18.88 21.02 23.28 15.78 17.89 20.14 22.55 25.13 16.65 18.98 21.50 24.21 27.15 17.56 20.14 22.95 26.02 29.36 18.53 21.38 24.52 27.98 31.77 20.65 24.13 28.03 32.39 37.28 23.04 27.27 32.09 37.58 43.84 24.35 29.00 34.35 40.50 47.58 16 17 18 19 20 17.26 18.43 19.61 20.81 22.02 18.64 20.01 21.41 22.84 24.30 20.16 21.76 23.41 25.12 26.87 21.82 23.70 25.65 27.67 29.78 23.66 25.84 28.13 30.54 33.07 25.67 28.21 30.91 33.76 36.79 27.89 30.84 34.00 37.38 41.00 30.32 33.75 37.45 41.45 45.76 33.00 36.97 41.30 46.02 51.16 35.95 40.54 45.60 51.16 57.28 42.75 48.88 55.75 63.44 72.05 50.98 59.12 68.39 78.97 91.02 55.72 65.08 75.84 88.21 102.4 21 22 23 24 25 23.24 24.47 25.72 26.97 28.24 25.78 27.30 28.85 30.42 32.03 28.68 30.54 32.45 34.43 36.46 31.97 34.25 36.62 39.08 41.65 35.72 38.51 41.43 44.50 47.73 39.99 43.39 47.00 50.82 54.86 44.87 49.01 53.44 58.18 63.25 50.42 55.46 60.89 66.76 73.11 56.76 62.87 69.53 76.79 84.70 64.00 71.40 79.54 88.50 98.35 81.70 92.50 104.6 118.2 133.3 104.8 120.4 138.3 158.7 181.9 118.8 137.6 159.3 184.2 212.8 26 27 28 29 30 29.53 30.82 32.13 33.45 34.78 33.67 35.34 37.05 38.79 40.57 38.55 40.71 42.93 45.22 47.58 44.31 47.08 49.97 52.97 56.08 51.11 54.67 58.40 62.32 66.44 59.16 63.71 68.53 73.64 79.06 68.68 74.48 80.70 87.35 94.46 79.95 87.35 95.34 104.0 113.3 93.32 102.7 113.0 124.1 136.3 109.2 121.1 134.2 148.6 164.5 150.3 169.4 190.7 214.6 241.3 208.3 238.5 272.9 312.1 356.8 245.7 283.6 327.1 377.2 434.7 40 48.89 60.40 75.40 95.03 120.8 154.8 199.6 259.1 337.9 442.6 767.1 1.342 1.779 50 64.46 84.58 112.8 152.7 209.3 290.3 406.5 573.8 815.1 1,164 2.400 4,995 7.218 appears to be the best option. Based on a 6% discount rate, its present value is the uld your preference change if you used a 12% discount rate? Scenario 1 the present value of each scenario using a 12% discount rate. (Round the amounts to the n Scenario 2 sent Value Scenario 3 appears to be the best option. Based on a 6% discount rate, its present value is the Requirement 2. Would your preference change if you used a 12% discount rate? highest Begin by calculating the present value of each scenario using a 12% discount rate. (Round the am rest do lowest Present Value Using a 12% discount rate change the preference in this problem. would would not