Brenda Young desires to have $16,500 eight years from now for her daughter's college fund. If she will earn 12 percent (compounded annually) on her money, what amount should she deposit now? (Exhibit 1-A, Exhibit 1-B, Exhibit 1-C, Exhibit 1-D) Note: Use appropriate factor(s) from the tables provided. Round time value factor to 3 decimal places and final answer to nearest whole number. Amount to be deposited Exhibit 1-A Future Value (Compounded Sum) of $1 after a Given Number of Time Periods Period 1 1% 1.010 7% 1.070 1.145 1.225 1.311 1.403 1.501 1.606 1.718 1.838 2% 3% 4% 1.020 1.030 1.040 1.020 1.040 1.061 1.082 1.030 1.061 1.093 1.125 1.041 1.082 1.126 1.170 1.051 1.104 1.159 1.217 1.062 1.126 1.194 1.265 1.072 1.149 1.230 1.316 1.083 1.172 1.267 1.369 1.094 1.195 1.305 1.423 1.105 1.219 1.344 1.480 1.116 1.243 1.384 1.539 1.127 1.268 1.426 1.601 1.138 1.294 1.469 1.665 1.149 1.319 1.513 1.732 1.161 1.346 1.558 1.801 1.173 1.373 1.605 1.873 1.184 1.400 1.653 1.948 1.196 1.428 1.702 2.026 1.754 2.107 1.806 1.208 1.457 1.220 1.486 2.191 1.282 1.641 2.094 2.666 1.348 1.811 2.427 3.243 4.801 1.489 2.208 1.645 2.692 7.107 11.467 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 25 30 40 50 Period 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 25 30 40 50 12% 1.120 1.254 1.405 1.574 1.762 1.974 2.211 2.476 2.773 3.106 3.479 3.896 4.363 4.887 5.474 6.130 6.866 7.690 8.613 9.646 13% 1.130 1.277 1.443 1.630 1.842 2.082 2.353 2.658 3.004 3.395 3.836 4.335 4.898 5.535 6.254 7.067 7.986 9.024 3.262 4.384 ILL IT 14% 1.140 1.300 1.482 1.689 1.925 2.195 5% 8% 1.080 1.050 1.103 1.166 1.158 1.260 1.216 1.360 1.276 1.338 1.469 1.340 1.419 1.587 1.407 1.504 1.714 1.477 1.594 1.851 1.993 1.689 1.999 2.172 1.791 1.967 2.159 2.367 2.332 2.580 2.518 2.813 1.551 1.629 1.710 1.898 2.105 1.796 2.012 2.252 1.886 2.133 2.410 1.980 2.261 2.579 2.079 2.183 2.292 2.693 2.720 3.066 3.452 2.937 3.342 3.797 2.397 2.759 3.172 3.642 4.177 2.540 2.952 3.426 3.970 4.595 3.159 3.700 4.328 5.054 2.407 2.854 3.380 3.996 4.717 5.560 3.026 3.617 4.316 5.142 6.116 3.207 3.870 4.661 5.604 6.727 3.386 4.292 5.427 8.623 10.835 13.585 4.322 5.743 13.268 17.449 22.892 6.848 7.612 10.063 7.040 10.286 14.974 21.725 31.409 45.259 65.001 18.420 29.457 46.902 74.358 117.391 184.565 2.502 2.853 3.252 3.707 4.226 4.818 5.492 6.261 7.138 8.137 9.276 10.575 10.197 12.056 11.523 13.743 17.000 21.231 26.462 29.960 39.116 50.950 93.051 132.782 188.884 267.864 289.002 450.736 700.233 1,083.657 2.527 2.653 15% 1.150 1.323 1.521 1.749 2.011 2.313 2.660 3.059 3.518 4.046 4.652 5.350 6.153 7.076 8.137 9.358 6% 1.060 1.124 1.191 1.262 10.761 12.375 14.232 16.367 32.919 66.212 17% 18% 9% 1.090 1.188 1.295 1.412 1.539 1.677 1.828 1.180 392 1.643 1.939 2.288 2.700 3.185 3.759 4.435 5.234 6.176 7.288 8.599 10.147 11.974 14.129 16.672 19.673 23.214 27.393 62.669 10% 1.100 1.210 1.331 1.464 1.611 1.772 1.949 2.144 2.358 2.594 2.853 3.138 19% 1.190 1.416 1.685 2.005 2.386 2.840 T 16% 1.160 1.170 1.346 1.369 1.561 1.602 1.811 1.874 2.100 2.192 2.436 2.565 2.826 3.001 3.278 3.511 3.803 4.108 4.411 4.807 5.117 5.624 5.936 6.580 6.886 7.699 7.988 9.007 9.266 10.539 10.748 12.330 12.468 14.426 14.463 16.879 16.777 19.748 19.461 23.106 40.874 50.658 85.850 111.065 143.371 2,619.996 533.869 378.721 750.378 1,051.668 1,469.772 7,523.164 36,118.865 1,670.704 2,566.215 3,927.357 5,988.914 9,100.438 70,064.923 497,929.223 3.379 4.021 4.785 5.695 6.777 8.064 9.596 11.420 13.590 16.172 19.244 22.901 27.252 32.429 77.388 184.675 11% 1.110 1.232 1.368 1.518 1.685 1.870 2.076 2.305 2.558 2.839 3.152 3.498 3.883 4.310 4.785 5.311 5.895 6.544 7.263 8.062 20% 25% 1.200 1.440 1.728 2.074 2.488 2.986 3.583 4.300 5.160 6.192 7.430 8.916 10.699 12.839 15.407 18.488 22.186 26.623 31.948 38.338 95.396 237.376 1.250 1.56 1.953 2.441 3.052 3.815 4.768 5.960 7.451 9.313 11.642 14.552 18.190 22.737 28.422 35.527 44.409 55.511 69.389 86.736 30% 264.698 807.794 1.300 1.690 2.197 2.856 3.713 4.827 6.275 8.157 10.604 13.786 17.922 23.298 30.288 39.374 51.186 66.542 86.504 112.455 146.192 190.050 705.641 Exhibit 1-B Future Value (Compounded Sum) of $1 Paid In at the End of Each Period for a Given Number of Time Periods (an Annuity) Period 1% 2% 3% 5% 6% 7% 8% 9% 10% 1 1.000 1.000 4% 1.000 1.000 1.000 1.000 1.000 2.030 2.040 2.050 2.060 2.070 1.000 1.000 1.000 1.000 2 2.010 2.020 2.080 2.090 2.100 2.110 3.310 3.342 4 4.641 4.710 5 6.105 6.228 6 7.716 7.913 7 9.487 9.783 8 11.436 11.859 9 13.579 14.164 15.937 16.722 19.561 18.531 21.384 24.523 22.713 26.212 3 3.030 3.060 3.091 3.122 3.153 3.184 3.215 3.246 3.278 4.060 4.122 4.184 4.246 4.310 4.375 4.440 4.506 4.573 5.101 5.204 5.309 5.416 5.526 5.637 5.751 5.867 5.985 6.152 6.308 6.468 6.633 6.802 6.975 7.153 7.336 7.523 7.214 7.434 7.662 7.898 8.142 8.394 8.654 8.923 9.200 8.286 8.583 8.892 9.214 9.549 9.897 10.260 10.637 11.028 9.369 9.755 10.159 10.583 11.027 11.491 11.978 12.488 13.021 10 10.462 10.950 11.464 12.006 12.578 13.181 13.816 14.487 15.193. 11 11.567 12.169 12.808 13.486 14.207 14.972 15.784 16.645 17.560 12 12.683 13.412 14.192 15.026 15.917 16.870 17.888 18.977 20.141 13 13.809 14.680 15.618 16.627 17.713 18.882 20.141 21.495 22.953 14 14.947 15.974 17.086 18.292 19.599 21.015 22.550 24.215 26.019 15 16.097 17.293 18.599 20.024 21.579 23.276 25.129 27.152 29.361 16 17.258 18.639 20.157 21.825 23.657 25.673 27.888 30.324 33.003 17 18.430 20.012 21.762 23.698 25.840 28.213 30.840 33.750 36.974 19.615 21.412 23.414 25.645 28.132 30.906 33.999 37.450 41.301 19 20.811 22.841 25.117 27.671 30.539 33.760 37.379 41.446 46.018 20 22.019 24.297 26.870 29.778 33.066 36.786 40.995 45.762 51.160 25 28.243 32.030 36.459 41.646 47.727 54.865 63.249 73.106 84.701 30 34.785 40.568 47.575 56.085 66.439 79.058 94.461 113.283 136.308 164.494 40 48.886 60.402 75.401 95.026 120.800 154.762 199.635 259.057 337.882 442.593 581.826 64.463 84.579 112.797 152.667 209.348 290.336 406.529 573.770 815.084 1,163.909 1,668.771 27.975 30.095 31.772 34.405 35.950 39.190 40.545 44.501 18 45.599 50.396 51.159 56.939 64.203 57.275 98.347 114.413 199.021 50 Period 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 25 30 40 50 12% 1.000 2.120 3.374 4.779 6.353 8.115 10.089 12.300 14.776 17.549 20.655 24.133 28.029 32.393 Tal 13% 1.000 1.000 1.000 1.000 2.130 2.150 2.170 2.200 3.407 3.473 3.539 3.640 4.850 4.993 5.141 5.368 6.480 6.742 7.014 7.442 8.323 8.536 8.754 9.207 9.930 10.405 10.730 11.067 11.772 12.916 12.757 13.233 13.727 14.773 16.499 15.416 16.085 16.786 18.285 19.923 20.799 18.420 19.337 20.304 22.393 24.709 25.959 21.814 23.045 24.349 25.733 27.200 30.404 32.150 25.650 27.271 29.002 30.850 32.824 37.180 39.581 29.985 32.089 34.352 36.786 39.404 45.244 48.497 34.883 37.581 40.505 43.672 47.103 54.841 59.196 37.280 40.417 43.842 47.580 51.660 56.110 66.261 72.035 42.753 46.672 50.980 55.717 60.925 66.649 79.850 87.442 48.884 53.739 59.118 65.075 71.673 78.979 96.022 105.931 55.750 61.725 68.394 75.836 84.141 93.406 115.266 128.117 63.440 70.749 78.969 88.212 98.603 110.285 138.166 154.740 91.025 102.444 115.380 130.033 165.418 186.688 249.214 292.105 402.042 471.981 1,054.791 2,348.803 72.052 80.947 133.334 155.620 181.871 212.793 241.333 293.199 356.787 434.745 767.091 1,013.704 1,342.025 1,779.090 2,360.757 3, 134.522 4,163.213 5,529.829 7,343.858 30,088.655 2,400.018 3,459.507 4,994.521 7,217.716 10,435.649 15,089.502 21,813.094 31,515.340 45,497.191 280,255.693 1,659,760.743 530.312 647.439 966.712 1,181.882 3,227.174 8,729.985 120,392.883 T 14% T 15% 1.000 2.140 3.440 4.921 6.610 16% 17% 1.000 2.160 3.506 5.066 6.877 8.977 11.414 14.240 17.519 21.321 18% 19% 1.000 2.180 3.572 5.215 7.154 9.442 12.142 15.327 19.086 23.521 28.755 34.931 42.219 50.818 60.965 72.939 87.068 103.740 123.414 146.628 342.603 790.948 11% 1.000 2.190 3.606 5.291 7.297 9.683 12.523 15.902 20% 25% 1.000 2.250 3.813 5.766 8.207 11.259 15.073 19.842 25.802 33.253 42.566 54.208 68.760 86.949 30% 109.687 138.109 173.636 218.045 273.556 342.945 1.000 2.300 3.990 6.187 9.043 12.756 17.583 23.858 32.015 42.619 56.405 74.327 97.625 127.913 167.286 218.472 285.014 371.518 483.973 630.165 2% 3% 4% 5% 6% 0.962 0.952 0.943 1 0.990 0.980 0.971 2 3 4 5 6 7 8 7% 8% 9% 10% 11% 12% 0.935 0.926 0.917 0.909 0.901 0.893 0.980 0.961 0.943 0.925 0.907 0.890 0.873 0.857 0.842 0.826 0.812 0.797 0.971 0.942 0.915 0.889 0.864 0.840 0.816 0.794 0.772 0.751 0.731 0.712 0.961 0.924 0.888 0.855 0.823 0.792 0.763 0.735 0.708 0.683 0.659 0.636 0.951 0.906 0.863 0.822 0.784 0.747 0.713 0.681 0.650 0.621 0.593 0.567 0.942 0.888 0.837 0.790 0.746 0.705 0.666 0.630 0.596 0.564 0.535 0.507 0.933 0.871 0.813 0.760 0.711 0.665 0.623 0.583 0.547 0.513 0.482 0.452 0.923 0.853 0.789 0.731 0.677 0.627 0.582 0.540 0.502 0.467 0.434 0.404 9 0.914 0.837 0.766 0.703 0.645 0.592 0.544 0.500 0.460 0.424 0.391 0.361 10 0.905 0.820 0.744 0.676 0.614 0.558 0.508 0.463 0.422 0.386 0.352 0.322 11 0.896 0.804 0.722 0.650 0.585 0.527 0.475 0.429 0.388 0.350 0.317 0.287 0.887 0.788 0.701 0.625 0.557 0.497 0.444 0.397 0.356 0.319 0.286 0.257 0.879 0.773 0.681 0.601 0.530 0.469 0.415 0.368 0.326 0.290 0.258 0.229 0.870 0.758 0.661 0.577 0.505 0.442 0.388 0.340 0.299 0.263 0.232 0.205 0.861 0.743 0.642 0.555 0.481 0.417 0.362 0.315 0.275 0.239 0.209 0.183 0.853 0.728 0.623 0.534 0.458 0.394 0.339 0.292 0.252 0.218 0.188 0.163 0.844 0.714 0.605 0.513 0.436 0.371 0.317 0.270 0.231 0.198 0.170 0.146 0.836 0.700 0.587 0.494 0.416 0.350 0.296 0.250 0.212 0.180 0.153 0.130 0.828 0.686 0.570 0.475 0.396 0.331 0.277 0.232 0.194 0.164 0.138 0.116 0.820 0.673 0.554 0.456 0.377 0.312 0.258 0.215 0.178 0.149 0.124 0.104 0.780 0.610 0.478 0.375 0.295 0.233 0.184 0.146 0.116 0.092 0.074 0.059 0.742 0.552 0.412 0.308 0.231 0.174 0.131 0.099 0.075 0.057 0.044 0.033 0.672 0.453 0.307 0.208 0.142 0.097 0.067 0.046 0.032 0.022 0.015 0.011 0.608 0.372 0.228 0.141 0.087 0.054 0.034 0.021 0.013 0.009 0.005 0.003 12 13 14 15 16 17 18 19 20 25 30 40 50 Period 1% 16% 17% 0.862 0.855 2 3 4 5 6 7 8 9 10 Period 13% 14% 15% 18% 19% 20% 25% 30% 35% 40% 50% 1 0.885 0.877 0.870 0.847 0.840 0.833 0.800 0.769 0.741 0.714 0.667 0.783 0.769 0.756 0.743 0.731 0.718 0.706 0.694 0.640 0.592 0.549 0.510 0.444 0.693 0.675 0.658 0.641 0.624 0.609 0.593 0.579 0.512 0.455 0.406 0.364 0.296 0.613 0.592 0.572 0.552 0.534 0.516 0.499 0.482 0.410 0.350 0.301 0.260 0.198 0.543 0.519 0.497 0.476 0.456 0.437 0.419 0.402 0.328 0.269 0.223 0.186 0.132 0.480 0.456 0.432 0.410 0.390 0.370 0.352 0.335 0.262 0.207 0.165 0.133 0.088 0.425 0.400 0.376 0.354 0.333 0.314 0.296 0.279 0.210 0.159 0.122 0.095 0.059 0.376 0.351 0.327 0.305 0.285 0.266 0.249 0.233 0.168 0.123 0.091 0.068 0.039 0.333 0.308 0.284 0.263 0.243 0.225 0.209 0.194 0.134 0.094 0.067 0.048 0.026 0.295 0.270 0.247 0.227 0.208 0.191 0.176 0.162 0.107 0.073 0.050 0.035 0.017 0.261 0.237 0.215 0.195 0.178 0.162 0.148 0.135 0.086 0.056 0.037 0.025 0.012 0.231 0.208 0.187 0.168 0.152 0.137 0.124 0.112 0.069 0.043 0.027 0.018 0.008 0.204 0.182 0.163 0.145 0.130 0.116 0.104 0.093 0.055 0.033 0.020 0.013 0.005 0.181 0.160 0.141 0.125 0.111 0.099 0.088 0.078 0.044 0.025 0.015 0.009 0.003 0.160 0.140 0.123 0.108 0.095 0.084 0.074 0.065 0.035 0.020 0.011 0.006 0.002 0.141 0.123 0.107 0.093 0.081 0.071 0.062 0.054 0.028 0.015 0.008 0.005 0.002 0.125 0.108 0.093 0.080 0.069 0.060 0.052 0.045 0.023 0.012 0.006 0.003 0.001 0.111 0.095 0.081 0.069 0.059 0.051 0.044 0.038 0.018 0.009 0.005 0.002 0.001 0.098 0.083 0.070 0.060 0.051 0.043 0.037 0.031 0.014 0.007 0.003 0.002 0.087 0.073 0.061 0.051 0.043 0.037 0.031 0.026 0.012 0.005 0.002 0.001 0.047 0.038 0.030 0.024 0.020 0.016 0.013 0.010 0.004 0.001 0.001 0.026 0.020 0.015 0.012 0.009 0.007 0.005 0.004 0.001 11 12 13 14 15 16 17 18 19 20 25 30 40 0.008 0.005 0.004 0.003 0.002 0.001 0.001 0.001 0 50 0.002 0.001 0.001 0.001 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2% 3% 4% 5% 6% 7% 0.980 0.971 0.962 0.943 0.935 2 0.952 1.913 1.886 1.859 2.829 2.775 2.723 3 1.970 1.942 2.941 2.884 3.808 3.717 3.630 4.713 4.580 4.452 4 3.902 5 6 7 8 9 8% 9% 10% 11% 12% 0.926 0.917 0.909 0.901 0.893 1.833 1.808 1.783 1.759 1.736 1.713 1.690 2.673 2.624 2.577 2.531 2.487 2.444 2.402 3.546 3.465 3.387 3.312 3.240 3.170 3.102 3.037 4.853 4.329 4.212 4.100 3.993 3.890 3.791 3.696 3.605 5.795 5.601 5.417 5.242 5.076 4.917 4.767 4.623 4.486 4.355 4.231 4.111 6.728 6.472 6.230 6.002 5.786 5.582 5.389 5.206 5.033 4.868 4.712 4.564 7.652 7.325 7.020 6.733 6.463 6.210 5.971 5.747 5.535 5.335 5.146 4.968 8.566 8.162 7.786 7.435 7.108 6.802 6.515 6.247 5.995 5.759 5.537 5.328 10 9.471 8.983 8.530 8.111 7.722 7.360 7.024 6.710 6.418 6.145 5.889 5.650 11 10.368 9.787 9.253 8.760 8.306 7.887 7.499 7.139 6.805 6.495 6.207 5.938 12 11.255 10.575 9.954 9.385 8.863 8.384 7.943 7.536 7.161 6.814 6.492 6.194 13 12.134 11.348 10.635 9.986 9.394 8.853 8.358 7.904 7.487 7.103 6.750 6.424 14 13.004 12.106 11.296 10.563 9.899 9.295 8.745 8.244 7.786 7.367 6.982 6.628 15 13.865 12.849 11.938 11.118 10.380 9.712 9.108 8.559 8.061 7.606 7.191 6.811 16 14.718 13.578 12.561 11.652 10.838 10.106 9.447 8.851 8.313 7.824 7.379 6.974 17 15.562 14.292 13.166 12.166 11.274 10.477 9.763 9.122 8.544 8.022 7.549 7.120 18 16.398 14.992 13.754 12.659 11.690 10.828 10.059 9.372 8.756 8.201 7.702 7.250 19 17.226 15.678 14.324 13.134 12.085 11.158 10.336 9.604 8.950 8.365 7.839 7.366 20 18.046 16.351 14.877 13.590 12.462 11.470 10.594 9.818 9.129 8.514 7.963 7.469 25 22.023 19.523 17.413 15.622 14.094 12.783 11.654 10.675 9.823 9.077 8.422 7.843 30 25.808 22.396 19.600 17.292 15.372 13.765 12.409 11.258 10.274 9.427 8.694 8.055 40 32.835 27.355 23.115 19.793 17.159 15.046 13.332 11.925 10.757 9.779 8.951 8.244 50 39.196 31.424 25.730 21.482 18.256 15.762 13.801 12.233 10.962 9.915 9.042 8.304 Period 1% 1 0.990 Period 13% 14% 2 3 4 6 7 8 9 15% 16% 17% 18% 19% 20% 25% 30% 35% 40% 50% 1 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.833 0.800 0.769 0.741 0.714 0.667 1.668 1.647 1.626 1.605 1.585 1.566 1.547 1.528 1.440 1.361 1.289 1.224 1.111 2.361 2.322 2.283 2.246 2.210 2.174 2.140 2.106 1.952 1.816 1.696 1.589 1.407 2.974 2.914 2.855 2.798 2.743 2.690 2.639 2.589 2.362 2.166 1.997 1.849 1.605 5 3.517 3.433 3.352 3.274 3.199 3.127 3.058 2.991 2.689 2.436 2.220 2.035 1.737 3.998 3.889 3.784 3.685 3.589 3.498 3.410 3.326 2.951 2.643 2.385 2.168 1.824 4.423 4.288 4.160 4.039 3.922 3.812 3.706 3.605 3.161 2.802 2.508 2.263 1.883 4.799 4.639 4.487 4.344 4.207 4.078 3.954 3.837 3.329 2.925 2.598 2.331 1.922 5.132 4.946 4.772 4.607 4.451 4.303 4.163 4.031 3.463 3.019 2.665 2.379 1.948 10 5.426 5.216 5.019 4.833 4.659 4.494 4.339 4.192 3.571 3.092 2.715 2.414 1.965 11 5.687 5.453 5.234 5.029 4.836 4.656 4.486 4.327 3.656 3.147 2.752 2.438 1.977 12 5.918 5.660 5.421 5.197 4.988 4.793 4.611 4.439 3.725 3.190 2.779 2.456 1.985 13 6.122 5.842 5.583 5.342 5.118 4.910 4.715 4.533 3.780 3.223 2.799 2.469 1.990 14 6.302 6.002 5.724 5.468 5.229 5.008 4.802 4.611 3.824 3.249 2.814 2.478 1.993 15 6.462 6.142 5.847 5.575 5.324 5.092 4.876 4.675 3.859 3.268 2.825 2.484 1.995 16 6.604 6.265 5.954 5.668 5.405 5.162 4.938 4.730 3.887 3.283 2.834 2.489 1.997 17 6.729 6.373 6.047 5.749 5.475 5.222 4.990 4.775 3.910 3.295 2.840 2.492 1.998 6.840 6.467 6.128 5.818 5.534 5.273 5.033 4.812 3.928 3.304 2.844 2.494 1.999 6.938 6.550 6.198 5.877 5.584 5.316 5.070 4.843 3.942 3.311 2.848 2.496 1.999 7.025 6.623 6.259 5.929 5.628 5.353 5.101 4.870 3.954 3.316 2.850 2.497 1.999 7.330 6.873 6.464 6.097 5.766 5.467 5.195 4.948 3.985 3.329 2.856 2.499 2.000 7.496 7.003 6.566 6.177 5.829 5.517 5.235 4.979 3.995 3.332 2.857 2.500 2.000 40 7.634 7.105 6.642 6.233 5.871 5.548 5.258 4.997 3.999 3.333 2.857 2.500 2.000 50 7.675 7.133 6.661 6.246 5.880 5.554 5.262 4.999 4.000 3.333 2.857 2.500 2.000 18 19 20 25 30