Problem 5-6 Computing Future Value of Annual Deposits [LO5-4] What amount would you have if you deposited $3,600 a year for 50 years at 5 percent (compounded annually)? (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 2 decimal places. Exhibit 1-D Present Value of \$1 Received at the End of Each Period for a Given Number of Time Periods (an Annuity) \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline Period & 1% & 2% & 3% & 4% & 5% & 6% & 7% & 8% & 9% & 10% & 11% & 12% \\ \hline 1 & 0.990 & 0.980 & 0.971 & 0.962 & 0.952 & 0.943 & 0.935 & 0.926 & 0.917 & 0.909 & 0.901 & 0.893 \\ \hline 2 & 1.970 & 1.942 & 1.913 & 1.886 & 1.859 & 1.833 & 1.808 & 1.783 & 1.759 & 1.736 & 1.713 & 1.690 \\ \hline 3 & 2.941 & 2.884 & 2.829 & 2.775 & 2.723 & 2.673 & 2.624 & 2.577 & 2.531 & 2.487 & 2.444 & 2.402 \\ \hline 4 & 3.902 & 3.808 & 3.717 & 3.630 & 3.546 & 3.465 & 3.387 & 3.312 & 3.240 & 3.170 & 3.102 & 3.037 \\ \hline 5 & 4.853 & 4.713 & 4.580 & 4.452 & 4.329 & 4.212 & 4.100 & 3.993 & 3.890 & 3.791 & 3.696 & 3.605 \\ \hline 6 & 5.795 & 5.601 & 5.417 & 5.242 & 5.076 & 4.917 & 4.767 & 4.623 & 4.486 & 4.355 & 4.231 & 4.111 \\ \hline 7 & 6.728 & 6.472 & 6.230 & 6.002 & 5.786 & 5.582 & 5.389 & 5.206 & 5.033 & 4.868 & 4.712 & 4.564 \\ \hline 8 & 7.652 & 7.325 & 7.020 & 6.733 & 6.463 & 6.210 & 5.971 & 5.747 & 5.535 & 5.335 & 5.146 & 4.968 \\ \hline 9 & 8.566 & 8.162 & 7.786 & 7.435 & 7.108 & 6.802 & 6.515 & 6.247 & 5.995 & 5.759 & 5.537 & 5.328 \\ \hline 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 \\ \hline 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 \\ \hline 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 \\ \hline 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 \\ \hline 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 \\ \hline 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 \\ \hline 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 \\ \hline 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 \\ \hline 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 \\ \hline 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 \\ \hline 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 \\ \hline 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 \\ \hline 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 \\ \hline 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 \\ \hline 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 \\ \hline \end{tabular} Exhibit 1-A Future Value (Compounded Sum) of $1 after a Given Number of Time Periods \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|} \hline Period & 1% & 2% & 3% & 4% & 5% & 6% & 7% & 8% & 9% & 10% & 11% \\ \hline 1 & 1.010 & 1.020 & 1.030 & 1.040 & 1.050 & 1.060 & 1.070 & 1.080 & 1.090 & 1.100 & 1.110 \\ \hline 2 & 1.020 & 1.040 & 1.061 & 1.082 & 1.103 & 1.124 & 1.145 & 1.166 & 1.188 & 1.210 & 1.232 \\ \hline 3 & 1.030 & 1.061 & 1.093 & 1.125 & 1.158 & 1.191 & 1.225 & 1.260 & 1.295 & 1.331 & 1.368 \\ \hline 4 & 1.041 & 1.082 & 1.126 & 1.170 & 1.216 & 1.262 & 1.311 & 1.360 & 1.412 & 1.464 & 1.518 \\ \hline 5 & 1.051 & 1.104 & 1.159 & 1.217 & 1.276 & 1.338 & 1.403 & 1.469 & 1.539 & 1.611 & 1.685 \\ \hline 6 & 1.062 & 1.126 & 1.194 & 1.265 & 1.340 & 1.419 & 1.501 & 1.587 & 1.677 & 1.772 & 1.870 \\ \hline 7 & 1.072 & 1.149 & 1.230 & 1.316 & 1.407 & 1.504 & 1.606 & 1.714 & 1.828 & 1.949 & 2.076 \\ \hline 8 & 1.083 & 1.172 & 1.267 & 1.369 & 1.477 & 1.594 & 1.718 & 1.851 & 1.993 & 2.144 & 2.305 \\ \hline 9 & 1.094 & 1.195 & 1.305 & 1.423 & 1.551 & 1.689 & 1.838 & 1.999 & 2.172 & 2.358 & 2.558 \\ \hline 10 & 1.105 & 1.219 & 1.344 & 1.480 & 1.629 & 1.791 & 1.967 & 2.159 & 2.367 & 2.594 & 2.839 \\ \hline 11 & 1.116 & 1.243 & 1.384 & 1.539 & 1.710 & 1.898 & 2.105 & 2.332 & 2.580 & 2.853 & 3.152 \\ \hline 12 & 1.127 & 1.268 & 1.426 & 1.601 & 1.796 & 2.012 & 2.252 & 2.518 & 2.813 & 3.138 & 3.498 \\ \hline 13 & 1.138 & 1.294 & 1.469 & 1.665 & 1.886 & 2.133 & 2.410 & 2.720 & 3.066 & 3.452 & 3.883 \\ \hline 14 & 1.149 & 1.319 & 1.513 & 1.732 & 1.980 & 2.261 & 2.579 & 2.937 & 3.342 & 3.797 & 4.310 \\ \hline 15 & 1.161 & 1.346 & 1.558 & 1.801 & 2.079 & 2.397 & 2.759 & 3.172 & 3.642 & 4.177 & 4.785 \\ \hline 16 & 1.173 & 1.373 & 1.605 & 1.873 & 2.183 & 2.540 & 2.952 & 3.426 & 3.970 & 4.595 & 5.311 \\ \hline 17 & 1.184 & 1.400 & 1.653 & 1.948 & 2.292 & 2.693 & 3.159 & 3.700 & 4.328 & 5.054 & 5.895 \\ \hline 18 & 1.196 & 1.428 & 1.702 & 2.026 & 2.407 & 2.854 & 3.380 & 3.996 & 4.717 & 5.560 & 6.544 \\ \hline 19 & 1.208 & 1.457 & 1.754 & 2.107 & 2.527 & 3.026 & 3.617 & 4.316 & 5.142 & 6.116 & 7.263 \\ \hline 20 & 1.220 & 1.486 & 1.806 & 2.191 & 2.653 & 3.207 & 3.870 & 4.661 & 5.604 & 6.727 & 8.062 \\ \hline 25 & 1.282 & 1.641 & 2.094 & 2.666 & 3.386 & 4.292 & 5.427 & 6.848 & 8.623 & 10.835 & 13.585 \\ \hline 30 & 1.348 & 1.811 & 2.427 & 3.243 & 4.322 & 5.743 & 7.612 & 10.063 & 13.268 & 17.449 & 22.892 \\ \hline 40 & 1.489 & 2.208 & 3.262 & 4.801 & 7.040 & 10.286 & 14.974 & 21.725 & 31.409 & 45.259 & 65.001 \\ \hline 50 & 1.645 & 2.692 & 4.384 & 7.107 & 11.467 & 18.420 & 29.457 & 46.902 & 74.358 & 117.391 & 184.565 \\ \hline \end{tabular} 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) \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|} \hline Period & 1% & 2% & 3% & 4% & 5% & 6% & 7% & 8% & 9% & 10% & 11% \\ \hline 1 & 1.000 & 1.000 & 1.000 & 1.000 & 1.000 & 1.000 & 1.000 & 1.000 & 1.000 & 1.000 & 1.000 \\ \hline 2 & 2.010 & 2.020 & 2.030 & 2.040 & 2.050 & 2.060 & 2.070 & 2.080 & 2.090 & 2.100 & 2.110 \\ \hline 3 & 3.030 & 3.060 & 3.091 & 3.122 & 3.153 & 3.184 & 3.215 & 3.246 & 3.278 & 3.310 & 3.342 \\ \hline 4 & 4.060 & 4.122 & 4.184 & 4.246 & 4.310 & 4.375 & 4.440 & 4.506 & 4.573 & 4.641 & 4.710 \\ \hline 5 & 5.101 & 5.204 & 5.309 & 5.416 & 5.526 & 5.637 & 5.751 & 5.867 & 5.985 & 6.105 & 6.228 \\ \hline 6 & 6.152 & 6.308 & 6.468 & 6.633 & 6.802 & 6.975 & 7.153 & 7.336 & 7.523 & 7.716 & 7.913 \\ \hline 7 & 7.214 & 7.434 & 7.662 & 7.898 & 8.142 & 8.394 & 8.654 & 8.923 & 9.200 & 9.487 & 9.783 \\ \hline 8 & 8.286 & 8.583 & 8.892 & 9.214 & 9.549 & 9.897 & 10.260 & 10.637 & 11.028 & 11.436 & 11.859 \\ \hline 9 & 9.369 & 9.755 & 10.159 & 10.583 & 11.027 & 11.491 & 11.978 & 12.488 & 13.021 & 13.579 & 14.164 \\ \hline 10 & 10.462 & 10.950 & 11.464 & 12.006 & 12.578 & 13.181 & 13.816 & 14.487 & 15.193 & 15.937 & 16.722 \\ \hline 11 & 11.567 & 12.169 & 12.808 & 13.486 & 14.207 & 14.972 & 15.784 & 16.645 & 17.560 & 18.531 & 19.561 \\ \hline 12 & 12.683 & 13.412 & 14.192 & 15.026 & 15.917 & 16.870 & 17.888 & 18.977 & 20.141 & 21.384 & 22.713 \\ \hline 13 & 13.809 & 14.680 & 15.618 & 16.627 & 17.713 & 18.882 & 20.141 & 21.495 & 22.953 & 24.523 & 26.212 \\ \hline 14 & 14.947 & 15.974 & 17.086 & 18.292 & 19.599 & 21.015 & 22.550 & 24.215 & 26.019 & 27.975 & 30.095 \\ \hline 15 & 16.097 & 17.293 & 18.599 & 20.024 & 21.579 & 23.276 & 25.129 & 27.152 & 29.361 & 31.772 & 34.405 \\ \hline 16 & 17.258 & 18.639 & 20.157 & 21.825 & 23.657 & 25.673 & 27.888 & 30.324 & 33.003 & 35.950 & 39.190 \\ \hline 17 & 18.430 & 20.012 & 21.762 & 23.698 & 25.840 & 28.213 & 30.840 & 33.750 & 36.974 & 40.545 & 44.501 \\ \hline 18 & 19.615 & 21.412 & 23.414 & 25.645 & 28.132 & 30.906 & 33.999 & 37.450 & 41.301 & 45.599 & 50.396 \\ \hline 19 & 20.811 & 22.841 & 25.117 & 27.671 & 30.539 & 33.760 & 37.379 & 41.446 & 46.018 & 51.159 & 56.939 \\ \hline 20 & 22.019 & 24.297 & 26.870 & 29.778 & 33.066 & 36.786 & 40.995 & 45.762 & 51.160 & 57.275 & 64.203 \\ \hline 25 & 28.243 & 32.030 & 36.459 & 41.646 & 47.727 & 54.865 & 63.249 & 73.106 & 84.701 & 98.347 & 114.413 \\ \hline 30 & 34.785 & 40.568 & 47.575 & 56.085 & 66.439 & 79.058 & 94.461 & 113.283 & 136.308 & 164.494 & 199.021 \\ \hline 40 & 48.886 & 60.402 & 75.401 & 95.026 & 120.800 & 154.762 & 199.635 & 259.057 & 337.882 & 442.593 & 581.826 \\ \hline 50 & 64.463 & 84.579 & 112.797 & 152.667 & 209.348 & 290.336 & 406.529 & 573.770 & 815.084 & 1,163.909 & 1,668.771 \\ \hline \end{tabular} Exhibit 1-C Present Value of $1 to Be Received at the End of a Given Number of Time Periods