How much would you have to invest today to receive the following? Use Appendix B and Appendix D for an approximate answer, but calculate your final answer using the formula and financial calculator methods. a. $14,100 in 5 years at 9 percent. (Do not round intermediate calculations. Round your final answer to 2 decimal places.) Present value b. $18,000 in 19 years at 7 percent. (Do not round intermediate calculations. Round your final answer to 2 decimal places.) Present value c. $7,200 each year for 13 years at 11 percent. (Do not round intermediate calculations. Round your final answer to 2 decimal places.) Present value d. $49,000 each year for 25 years at 6 percent. (Do not round intermediate calculations. Round your final answer to 2 decimal places.) Present value Appendix B Present value of $1, PVF PV = FV 1 + i)" Percent Period 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 1 0.990 0.980 0.971 0.962 0.943 0.935 0.917 0.909 0.901 0.893 0.952 0.907 0.926 0.857 2 0.980 0.943 0.925 0.890 0.873 0.842 0.812 0.797 0.961 0.942 0.826 0.751 3 0.971 0.915 0.889 0.864 0.840 0.816 0.794 0.772 0.731 0.712 4 0.961 0.924 0.888 0.855 0.823 0.792 0.763 0.735 0.708 0.683 0.659 0.636 07 0.951 0.906 0.863 0.822 0.784 0.747 0.713 0.681 0.650 0.621 0.593 0.567 6 0.942 0.888 0.837 0.790 0.746 0.705 0.666 0.630 0.596 0.564 0.535 0.507 7 0.933 0.871 0.813 0.760 0.711 0.665 0.623 0.583 0.513 0.482 0.452 0.547 0.502 00 0.923 0.853 0.789 0.731 0.677 0.627 0.582 0.540 0.467 0.434 0.404 9 0.837 0.766 0.645 0.592 0.544 0.500 0.460 0.391 0.361 0.914 0.905 0.703 0.676 10 0.820 0.614 0.558 0.508 0.463 0.422 0.424 0.386 0.350 0.744 0.722 0.322 0.352 0.317 11 0.896 0.804 0.650 0.585 0.527 0.429 0.388 0.287 0.475 0.444 12 0.887 0.788 0.701 0.625 0.557 0.497 0.397 0.356 0.319 0.286 0.257 13 0.879 0.773 0.681 0.601 0.530 0.469 0.415 0.368 0.326 0.290 0.258 0.229 14 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 16 0.853 0.728 0.623 0.534 0.458 0.394 0.339 0.292 0.252 0.218 0.188 0.163 17 0.844 0.605 0.513 0.436 0.371 0.317 0.270 0.231 0.198 0.170 0.146 0.714 0.700 18 0.836 0.494 0.416 0.296 0.250 0.212 0.153 0.130 0.350 0.331 0.180 0.164 19 0.587 0.570 0.554 0.828 0.686 0.475 0.396 0.277 0.194 0.138 0.124 0.116 0.104 20 0.820 0.456 0.312 0.232 0.215 0.146 0.178 0.149 0.377 0.295 0.673 0.610 0.552 25 0.780 0.478 0.233 0.258 0.184 0.131 0.116 0.092 0.375 0.308 0.074 0.059 0.033 30 0.742 0.412 0.231 0.174 0.099 0.075 0.057 0.044 40 0.672 0.453 0.307 0.208 0.142 0.097 0.067 0.046 0.032 0.022 0.015 0.011 50 0.608 0.372 0.228 0.141 0.087 0.054 0.034 0.021 0.013 0.009 0.005 0.003 Appendix B (concluded) Present value of $1 Percent Period 13% 14% 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 0.800 0.741 0.714 0.667 0.833 0.694 0.769 0.592 2 0.783 0.769 0.756 0.743 0.731 0.718 0.706 0.640 0.549 0.510 0.444 3 0.693 0.658 0.641 0.624 0.609 0.593 0.579 0.512 0.455 0.406 0.364 0.296 0.675 0.592 4 0.613 0.572 0.552 0.534 0.515 0.499 0.482 0.410 0.350 0.301 0.260 0.198 5 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 6 0.456 0.432 0.410 0.390 0.335 0.262 0.207 0.165 0.133 0.088 0.480 0.425 0.370 0.314 0.352 0.296 7 0.400 0.376 0.333 0.210 0.159 0.122 0.095 0.059 0.354 0.305 0.279 0.233 0.376 0.351 0.327 0.285 0.266 0.249 0.168 0.123 0.091 0.068 0.039 000 0.308 0.284 0.263 0.243 0.225 0.209 0.134 0.048 0.333 0.295 0.067 0.050 10 0.026 0.017 0.270 0.247 0.227 0.191 0.194 0.162 0.135 0.176 0.094 0.073 0.056 0.107 0.208 0.178 0.035 11 0.261 0.237 0.215 0.195 0.162 0.148 0.086 0.037 0.025 0.012 12 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 13 0.204 0.182 0.130 0.116 0.104 0.093 0.055 0.033 0.020 0.013 0.005 0.163 0.141 0.145 0.125 14 0.181 0.160 0.111 0.099 0.088 0.078 0.044 0.025 0.015 0.009 0.003 15 0.160 0.140 0.123 0.108 0.095 0.084 0.074 0.065 0.035 0.020 0.006 0.011 0.008 0.002 0.002 16 0.123 0.107 0.093 0.081 0.071 0.054 0.028 0.015 0.141 0.125 0.062 0.052 0.005 0.003 17 0.108 0.093 0.080 0.069 0.060 0.045 0.023 0.012 0.006 0.001 18 0.069 0.051 0.044 0.038 0.018 0.009 0.002 0.001 0.111 0.098 0.095 0.083 0.073 0.081 0.070 0.005 0.003 19 0.060 0.043 0.002 o 0.059 0.051 0.043 0.020 0.037 0.031 0.031 0.026 0.014 0.012 0.007 0.005 20 0.087 0.061 0.051 0.001 0.037 0.016 0.002 0.001 25 0.047 0.038 0.030 0.024 0.013 0.010 0.004 0.001 0 30 0.026 0.020 0.015 0.012 0.009 0.007 0.005 0.004 0.001 0 0 40 0.005 0.003 0.002 0.001 0.001 0.001 O 0 0.008 0.002 0.004 0.001 O O O O O 50 0.001 0.001 o o o 0 0 o Appendix D Present value of an annuity of $1, PV FA PVA = A 1 1 - (1 + i)? Percent Period 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 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 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 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 4 3.902 3.717 3.630 3.546 3.465 3.387 3.312 3.170 3.102 3.808 4.713 3.240 3.890 3.037 3.605 01 4.853 4.580 4.452 4.329 4.212 4.100 3.993 3.791 3.696 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 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 8 7.325 7.020 6.463 6.210 5.971 5.535 5.335 5.146 7.652 8.566 6.733 7.435 5.747 6.247 4.968 5.328 9 8.162 7.108 6.802 6.515 5.759 7.786 8.530 5.995 6.418 5.537 5.889 10 8.983 8.111 7.722 7.360 6.710 9.471 10.368 7.024 7.499 6.145 6.495 5.650 5.938 11 9.253 8.306 7.887 6.805 6.207 9.787 10.575 8.760 9.385 7.139 7.536 12 11.255 9.954 8.863 8.384 7.943 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 12.849 11.938 11.118 10.380 9.712 9.108 8.559 8.061 7.191 6.811 13.865 14.718 7.606 7.824 16 13.578 11.652 10.838 10.106 9.447 8.851 8.313 7.379 6.974 12.561 13.166 17 15.562 14.292 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 17.413 15.622 14.094 12.783 11.654 9.823 8.422 19.523 22.396 9.077 9.427 7.843 8.055 30 19.600 17.292 15.372 12.409 10.274 25.808 32.835 13.765 15.046 10.675 11.258 11.925 12.233 8.694 8.951 40 17.159 13.332 10.757 9.779 8.244 27.355 31.424 23.115 25.730 19.793 21.482 50 39.196 18.256 15.762 13.801 10.962 9.915 9.042 8.304 Appendix D (concluded) Present value of an annuity of $1 Percent Period 13% 14% 15% 16% 17% 18% 19% 20% 25% 30% 35% 40% 50% 1 0.885 0.877 0.870 0.862 0.855 0.840 0.833 0.800 0.769 0.741 0.714 0.667 0.847 1.566 1.668 1.647 1.626 1.605 1.585 1.547 1.528 1.440 1.361 1.289 1.224 1.111 N 3 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 4 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 6 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 7 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 8 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 9 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 4.327 3.656 3.147 2.752 2.438 1.977 12 5.918 5.660 5.421 4.793 4.439 4.486 4.611 4.715 3.725 3.190 2.779 2.456 5.197 5.342 1.985 4.988 5.118 13 6.122 5.842 4.533 3.780 2.469 1.990 4.910 5.008 3.223 3.249 5.583 5.724 5.847 2.799 2.814 14 6.302 6.002 5.468 5.229 4.802 4.611 3.824 1.993 2.478 2.484 15 6.462 6.142 5.575 5.324 5.092 4.876 4.675 3.859 3.268 2.825 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 6.373 6.047 5.749 5.222 4.988 4.775 3.910 3.295 2.492 1.998 6.729 6.840 18 6.467 6.128 5.818 5.475 5.534 5.584 5.273 5.033 3.928 3.304 2.840 2.844 2.848 2.494 4.812 4.843 1.999 19 6.550 6.198 5.877 5.070 3.942 3.311 2.496 1.999 6.938 7.025 5.316 5.353 20 6.623 6.259 5.929 5.628 5.101 4.870 3.954 3.316 2.850 2.497 1.999 25 6.873 6.464 6.097 5.766 5.467 5.195 4.948 3.985 3.329 2.499 2.000 7.330 7.496 2.856 2.857 30 7.003 6.566 6.177 5.829 5.517 5.235 4.979 3.995 3.332 2.500 2.000 40 7.634 7.105 6.642 6.233 5.871 5.548 5.258 4.997 3.999 2.857 2.500 2.000 3.333 3.333 50 7.675 7.133 6.661 6.246 5.880 5.554 5.262 4.999 4.000 2.857 2.500 2.000