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12. 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.) 2(Click the icon to view Present Value of $1 table.) 3(Click the icon to view Present Value of Ordinary Annuity of $1 table.) 4(Click the icon to view Future Value of $1 table.) 5(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: $ 32,643 Scenario 2: Scenario 3: (1 appears to be the best option. Based on a 6% discount rate, its present value is the (2) Requirement 2. Would your preference change if you used a 10% discount rate? Begin by calculating the present value of each scenario using a 10% discount rate. (Round the amounts to the nearest dollar.) Present Value Scenario 1: Scenario 2: Scenario 3: Using a 10% discount rate (3). change the preference in this problem. 1: More Info 1. $7,750 per year at the end of each of the next five years 2. $50,250 (lump sum) now 3. $98,150 (lump sum) five years from now 2: Reference Present Value of $1 1 Periods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 14% 15% 16% 18% 20% 0.990 0.9800.971 0.962 0.952 0.9430.935 0.926 0.9170.909 0.893 0.877 0.870 0.862 0.847 0.833 2 0.9800.961 0.943 0.925 0.907 0.890 0.873 0.8570.842 0.826 0.797 0.769 0.756 0.743 0.7180.694 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 0.579 4 0.961 0.924 0.888 0.855 0.823 0.7920.763 0.735 0.708 0.683 0.636 0.5920.572 0.5520.516 0.482 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 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 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 8 0.923 0.853 0.789 0.731 0.677 0.627 0.582 0.540 0.502 0.467 0.4040.351 0.327 0.305 0.266 0.233 9 0.914 0.837 0.766 0.703 0.6450.592 0.544 0.500 0.460 0.424 0.361 0.308 0.284 0.263 0.225 0.194 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 11 12 13 14 15 0.896 0.8040.722 0.650 0.585 0.527 0.475 0.429 0.388 0.350 0.287 0.237 0.215 0.1950.162 0.135 0.887 0.788 0.701 0.625 0.557 0.497 0.444 0.397 0.356 0.319 0.257 0.208 0.187 0.168 0.137 0.112 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 0.870 0.758 0.661 0.577 0.505 0.442 0.388 0.340 0.299 0.263 0.205 0.1600.141 0.125 0.099 0.078 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 16 17 18 19 20 0.853 0.7280.623 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 0.844 0.714 0.605 0.513 0.436 0.371 0.3170.270 0.231 0.1980.146 0.108 0.093 0.080 0.060 0.045 0.836 0.7000.587 0.494 0.416 0.350 0.296 0.250 0.212 0.180 0.1300.095 0.081 0.069 0.051 0.038 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 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 21 22 23 24 25 0.811 0.660 0.538 0.439 0.359 0.2940.242 0.1990.164 0.135 0.093 0.064 0.053 0.044 0.031 0.022 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 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 0.788 0.622 0.492 0.390 0.310 0.247 0.1970.158 0.126 0.1020.066 0.043 0.035 0.028 0.019 0.013 0.780 0.610 0.478 0.375 0.295 0.233 0.184 0.146 0.116 0.092 0.0590.038 0.030 0.024 0.0160.010 26 27 28 29 30 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 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 0.0110.007 0.757 0.574 0.437 0.333 0.255 0.1960.150 0.116 0.090 0.069 0.042 0.026 0.0200.0160.0100.006 0.7490.563 0.424 0.321 0.243 0.185 0.141 0.1070.082 0.063 0.037 0.022 0.017 0.014 0.008 0.005 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 40 0.672 0.453 0.307 0.208 0.142 0.097 0.067 0.046 0.032 0.022 0.0110.005 0.004 0.003 0.001 0.001 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 50 1 Present Value of Ordinary Annuity of $1 Periods 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 0.893 0.877 0.870 0.862 0.847 0.833 2 1.970 1.942 1.913 1.886 1.859 1.8331.8081.783 1.759 1.736 1.6901.647 1.626 1.6051.566 1.528 3 2.9412.884 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 4 3.902 3.808 3.717 3.630 3.546 3.465 3.387 3.3123.240 3.170 3.037 2.914 2.855 2.798 2.690 2.589 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 6 7 8 9 10 5.795 5.601 5.417 5.242 5.076 4.917 4.767 4.623 4.4864.355 4.111 3.889 3.784 3.685 3.498 3.326 6.728 6.4726.230 6.0025.786 5.582 5.389 5.206 5.033 4.8684.564 4.288 4.1604.039 3.812 3.605 7.652 7.3257.020 6.733 6.463 6.210 5.971 5.7475.535 5.335 4.968 4.6394.4874.344 4.0783.837 8.566 8.1627.786 7.4357.108 6.802 6.5156.247 5.995 5.759 5.328 4.9464.7724.6074.303 4.031 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 11 12 13 14 15 10.368 9.7879.2538.760 8.306 7.887 7.499 7.139 6.805 6.495 5.938 5.453 5.234 5.029 4.656 4.327 11.255 10.575 9.9549.3858.8638.384 7.943 7.5367.161 6.814 6.194 5.660 5.421 5.1974.793 4.439 12.134 11.348 10.635| 9.986 9.394 8.853 8.358 7.904 7.487 7.103 6.424 5.8425.583 5.3424.910 4.533 13.004 12.106|11.296 10.563 9.899 9.295 8.745 8.244 7.786 | 7.3676.6286.0025.724 5.468 5.008 4.611 13.865 12.849 11.938 11.118 10.380 9.712 9.108 8.559 | 8.0617.606 6.811 6.142 5.847 5.575 5.092 4.675 16 17 18 19 20 14.718 13.578 12.561 11.652 10.838 10.106 9.4478.851 8.313 7.824 6.974 6.265 5.954 5.669 5.1624.730 15.562 14.292 13.166 12.166|11.274 10.4771 9.763 9.122 8.544 8.0227.1206.373 6.047 5.749 5.222 4.775 16.398 14.992 13.754 12.659 11.690 10.828 10.059 9.3728.756 8.2017.250 6.467 6.128 5.818 5.2734.812 17.226 15.678 14.324 13.134 12.085 11.158 10.336 9.604 8.950 8.3657.366 6.5506.198 5.877 5.3164.844 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 21 22 23 24 25 18.857 17.011 15.415 14.029 12.821 11.764 10.836 10.017 9.292 8.6497.5626.6876.3125.973 5.384 4.891 19.660 17.658|15.937|14.451 13.163 12.042 11.061 10.2011 9.442 8.772 7.645 6.7436.3596.0115.410 4.909 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 21.243 18.914 16.936 15.247|13.799 12.550 11.469|10.529 9.707 | 8.9857.7846.835 6.4346.073 5.451 4.937 22.023 19.523 17.41315.622 14.094 12.783 11.654 10.675 9.823 9.077 7.8436.8736.464 6.097 5.467 4.948 26 27 28 29 30 22.795 20.12117.877|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 23.560 20.707 18.327 16.330 14.643 13.211 11.987|10.935 10.027 9.237 7.9436.935 6.514 6.136 5.492 4.964 24.31621.28118.764 16.663 14.898 13.406 12.137| 11.051 10.1169.307 7.984 6.961 6.534 6.1525.5024.970 25.066 21.844 19.188 16.984 15.141 13.591 12.278 11.158 10.1989.370 8.022 6.9836.551 6.166 5.510 4.975 25.808 22.396 19.600 17.292 15.372 13.765 12.409 11.258 10.274 9.4278.0557.003 6.566 6.177 5.517 4.979 40 32.835 27.355 23.115 19.793 17.159 15.046 13.332 11.925 10.757 9.779 | 8.244 | 7.105 6.642 6.233 5.548 4.997 39.196|31.424 25.730 21.482|18.256|15.762 13.801 12.233 10.962 9.915 8.304 7.133 6.661 6.246 5.554 4.999 50 Future Value of $1 14% 1 Periods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 15% 1.010 1.020 1.030 1.040 1.050 1.060 1.070 1.080 1.090 1.100 1.120 1.140 1.150 2 1.020 1.040 1.061 1.0821.103 1.124 | 1.145 1.166 1.1881.210 1.254 1.300 1.323 3 1.030 1.061 1.093 1.125 1.158 1.191 1.225 1.260 1.295 | 1.331 1.405 1.482 1.521 4 1.041 1.0821.126 1.170 1.216 1.262 1.311 1.360 1.4121.464 1.5741.689 1.749 5 1.051 1.104 1.159 | 1.217 1.276 1.338 1.403 1.469 1.539 1.611 1.762 1.925 2.011 6 7 8 1.062 1.126 1.194 1.265 1.340 1.419 1.501 1.587 1.677 1.772 1.974 2.195 2.313 1.072 1.149 1.2301.316 1.407 1.5041.606 1.714 1.8281.949 2.2112.502 2.660 1.083 1.1721.267 1.369 1.4771.594 1.718 1.851 1.993 2.144 2.476 2.853 3.059 1.094 1.195 1.305 1.423 1.551 1.689 1.838 1.999 2.172 2.358 2.7733.252 3.518 1.105 1.219 1.344 1.480 1.629 1.791 1.967 2.159 2.367 2.594 3.106 3.707 4.046 9 10 11 12 13 14 15 1.116 1.243 1.384 1.539 1.710 1.898 2.105 2.332 2.580 2.853 3.4794.226 4.652 1.127 1.268 1.426 1.601 1.796 2.012 2.252 2.518 2.813 3.138 3.896 4.818 5.350 1.138 1.294 1.469 1.665 1.886 2.133 2.410 2.720 3.066 3.452 4.363 5.492 6.153 1.149 1.319 1.513 1.732 1.980 2.261 2.579 2.937 3.342 3.798 4.8876.261 7.076 1.161 1.346 1.558 1.801 2.079 2.397 2.759 3.172 3.642 4.177 5.474 | 7.1388.137 16 17 18 19 20 1.173 1.373 1.605 1.873 2.183 2.540 2.952 3.426 3.970 4.595 6.130 8.1379.358 1.184 1.400 1.653 1.948 2.292 2.693 3.159 3.700 4.328 5.054 6.8669.276 10.76 1.196 1.428 1.702 2.026 2.407 2.854 3.380 3.996 4.717 5.560 7.690 10.58 12.38 1.208 1.457 1.754 2.107 2.527 3.026 3.617 4.316 5.142 6.116 8.613 12.06 14.23 1.220 1.486 1.806 2.191 2.653 3.2073.870 4.661 5.604 6.727 9.646 13.74 16.37 21 22 23 24 25 1.232 1.516 1.860 2.279 2.786 3.400 4.1415.034 6.1097.400 10.80 15.67 18.82 1.245 1.546 1.916 2.370 2.925 3.604 4.430 5.4376.659 8.140 12.10 17.86 21.64 1.257 1.577 1.974 2.465 3.072 3.820 4.741 5.871 7.258 8.954 13.55 20.36 24.89 1.270 1.608 2.033 2.563 3.225 4.049 5.072 6.341 7.911 9.850 15.18 23.21 28.63 1.282 1.641 2.094 2.666 3.386 4.292 5.427 6.848 8.623 10.83 17.00 26.46 | 32.92 26 27 28 29 30 1.295 1.673 2.157 2.772 3.556 4.549 5.8077.396 9.399 11.92 19.04 30.1737.86 1.308 1.707 2.221 2.883 3.733 4.822 6.214 7.988 10.25 13.11 21.32 34.39 43.54 1.321 1.741 2.288 2.999 3.920 5.112 6.649 8.627 11.17 14.42 23.88 39.20 50.07 1.335 1.776 2.357 3.119 4.116 5.418 7.114 9.317 12.17 15.86 26.75 44.69 57.58 1.348 1.811 2.427 3.243 4.322 5.743 7.612 10.06 13.27 17.45 29.96 50.95 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 74.36 117.4 289.0 700.21,084 5: Reference Future Value of Ordinary Annuity of $1 1 Periods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 14% 15% 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 2 2.010 2.020 2.030 2.040 2.050 2.060 2.070 2.080 2.090 2.100 2.120 2.140 2.150 3 3.030 3.060 3.091 3.122 3.153 3.1843.215 3.246 3.278 3.310 3.374 | 3.440 3.473 4 4.060 4.122 4.184 | 4.246 4.310 4.375 4.440 4.506 4.573 4.641 4.779 4.921 4.993 5 5.101 5.204 5.309 5.416 5.526 5.637 5.751 5.867 5.9856.105 6.353 6.610 6.742 6 7 8 9 10 6.152 6.308 6.468 6.633 6.802 6.975 | 7.1537.336 7.523 7.716 8.115 8.536 8.754 7.214 7.434 7.662 7.898 8.142 8.394 8.654 8.923 9.2009.487 10.09 10.73 11.07 8.286 8.583 8.8929.214 9.549 9.897 10.260 10.64 11.03 | 11.44 12.30 13.23 13.73 9.369 9.755 10.16 10.58 11.03 11.49 11.98 12.49 13.02 13.58 14.78 16.09 16.79 10.46 10.95 11.46 12.01 | 12.58 13.18 13.82 14.49 15.1915.94 17.55 | 19.34 20.30 11 12 13 11.57 12.17 12.8113.49 14.21 14.97 15.78 16.65 17.56 18.53 20.65 23.04 24.35 12.68 13.41 14.19 15.03 15.92 16.87 17.89 18.98 20.14 21.38 24.13 27.27 29.00 13.81 14.68 15.62 16.63 17.71 18.88 20.14 21.50 22.95 24.52 28.03 32.09 34.35 14.95 15.97 17.09 18.29 19.60 21.02 22.55 24.21 26.02 27.98 32.39 37.58 40.50 16.10 17.29 18.60 20.02 21.58 23.28 25.13 27.15 29.36 31.77 37.28 43.84 47.58 14 15 16 17 18 19 20 17.26 18.64 20.16 21.8223.66 25.67 27.89 30.32 33.00 35.95 42.75 50.98 55.72 18.43 20.01 21.76 23.70 25.84 28.21 | 30.84 33.75 36.97 40.54 48.88 59.12 | 65.08 19.61 21.41 23.41 25.65 28.13 30.91 | 34.00 37.45 41.30 45.60 55.75 68.39 75.84 20.81 22.84 25.12 27.67 30.54 33.76 37.38 41.45 46.02 51.16 63.44 | 78.97 88.21 22.02 24.30 26.87 29.78 33.07 36.79 41.00 45.76 51.16 57.28 72.05 91.02 | 102.4 21 22 23 24 25 23.24 25.78 28.68 31.97 35.72 39.99 44.87 50.42 56.76 64.00 81.70 104.8 118.8 24.47 27.30 30.54 34.25 38.51 43.39 49.01 55.46 62.87 71.40 92.50 120.4 137.6 25.72 28.85 32.45 36.62 41.43 47.00 53.44 60.89 69.53 79.54 104.6 138.3 159.3 26.97 30.42 34.43 39.08 44.50 50.82 58.18 66.76 76.79 88.50 118.2158.7184.2 28.24 32.03 36.4641.65 47.73 54.86 63.25 73.11 84.70 | 98.35 133.3 | 181.9 212.8 26 27 28 29 30 29.53 33.67 38.55 44.31 51.11 59.16 68.68 79.95 93.32 109.2 150.3 208.3245.7 30.82 35.34 40.71 47.08 54.67 63.71 | 74.48 87.35 102.7 121.1 169.4 238.5 283.6 32.13 37.05 42.93 49.97 58.40 68.53 80.70 95.34 113.0 134.2 190.7 272.9 327.1 33.45 38.79 45.22 52.97 62.32 | 73.64 | 87.35 104.0 124.1 148.6 214.6 312.1 377.2 34.78 40.57 47.58 56.08 66.44 79.06 94.46 113.3 136.3164.5 241.3 356.8 434.7 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 84.58 112.8 152.7 209.3 290.3 406.5 573.8 815.11,164 2,400 4,995 7,218 6: 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 dollar. 2. Would your preference change if you used a 10% discount rate? (1) O Scenario 1 Scenario 2 O Scenario 3 (2) O highest O lowest (3) O would O would not

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