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. $14,000 in 14 years at 9 percent. (Do not round intermediate calculations. Round your final answer to 2 decimal places.) Present value b. $17,600 in 18 years at 13 percent. (Do not round intermediate calculations. Round your final answer to 2 decimal places.) Present value c. $7,100 each year for 12 years at 9 percent. (Do not round intermediate calculations. Round your final answer to 2 decimal places.) Present value d. $48,000 each year for 20 years at 5 percent. (Do not round intermediate calculations. Round your final answer to 2 decimal places.) Present value Appendix B Present value of $1, PV, PV Period US sou wowowo WN- 1% 0.990 0.980 0.971 0.961 0.951 0.942 0.933 0.923 0.914 0.905 0.896 0.887 0.879 0.870 0.861 0.853 0.844 0.836 0.828 0.820 0.780 0.742 0.672 0.608 2% 0.980 0.961 0.942 0.924 0.906 0.888 0.871 0.853 0.837 0.820 0.804 0.788 0.773 0.758 0.743 0.728 0.714 0.700 0.686 0.673 0.610 0.552 0.453 0.372 3% 0.971 0.943 0.915 0.888 0.863 0.837 0.813 0.789 0.766 0.744 0.722 0.701 0.681 0.661 0.642 0.623 0.605 0.587 0.570 0.554 0.478 0.412 0.307 0.228 4% 0.962 0.925 0.889 0.855 0.822 0.790 0.760 0.731 0.703 0.676 0.650 0.625 0.601 0.577 0.555 0.534 0.513 0.494 0.475 0.456 0.375 0.308 0.208 0.141 5% 0.952 0.907 0.864 0.823 0.784 0.746 0.711 0.677 0.645 0.614 0.585 0.557 0.530 0.505 0.481 0.458 0.436 0.416 0.396 0.377 0.295 0.231 0.142 0.087 Percent 6% 7% 0.943 0.935 0.890 0.873 0.840 0.816 0.792 0.763 0.747 0.713 0.705 0.666 0.665 0.623 0.627 0.582 0.592 0.544 0.558 0.508 0.527 0.475 0.497 0.444 0.469 0.415 0.442 0.388 0.417 0.362 0.394 0.339 0.371 0.317 0.350 0.296 0.331 0.277 0.312 0.258 0.233 0.184 0.174 0.131 0.097 0.067 0.054 0.034 8% 0.926 0.857 0.794 0.735 0.681 0.630 0.583 0.540 0.500 0.463 0.429 0.397 0.368 0.340 0.315 0.292 0.270 0.250 0.232 0.215 0.146 0.099 0.046 0.021 9% 0.917 0.842 0.772 0.708 0.650 0.596 0.547 0.502 0.460 0.422 0.388 0.356 0.326 0.299 0.275 0.252 0.231 0.212 0.194 0.178 0.116 0.075 0.032 0.013 10% 11% 0.909 0.901 0.826 0.812 0.751 0.731 0.683 0.659 0.621 0.593 0.564 0.535 0.513 0.482 0.467 0.434 0.424 0.391 0.386 0.352 0.350 0.317 0.319 0.286 0.290 0.258 0.263 0.232 0.239 0.209 0.218 0.188 0.198 0.170 0.180 0.153 0.164 0.138 0.149 0.124 0.092 0.074 0.057 0.044 0.022 0.015 0.0090.005 12% 0.893 0.797 0.712 0.636 0.567 0.507 0.452 0.404 0.361 0.322 0.287 0.257 0.229 0.205 0.183 0.163 0.146 0.130 0.116 0.104 0.059 0.033 0.011 0.003 Appendix B (concluded) Present value of $1 Period 13% 0.885 0.783 0.693 0.613 0.543 0.480 0.425 0.376 0.333 0.295 0.261 0.231 0.204 0.181 0.160 0.141 0.125 0.111 0.098 0.087 0.047 0.026 0.008 0.002 0.107 14% 15% 0.8770.870 0.769 0.756 0.675 0.658 0.592 0.572 0.519 0.497 0.456 0.432 0.400 0.376 0.351 0.327 0.308 0.284 0.270 0.247 0.237 0.215 0.208 0.187 0.182 0.163 0.160 0.141 0.140 0.123 0.123 0.107 0.108 0.093 0.095 0.081 0.083 0.070 0.073 0.061 0.038 0.030 0.020 0.015 0.005 0.004 0.001 0.001 16% 0.862 0.743 0.641 0.552 0.476 0.410 0.354 0.305 0.263 0.227 0.195 0.168 0.145 0.125 0.108 0.093 0.080 0.069 0.060 0.051 0.024 0.012 0.003 0.001 17% 18% 0.855 0.847 0.731 0.718 0.624 0.609 0.534 0.515 0.456 0.437 0.390 0.370 0.333 0.314 0.285 0.266 0.243 0.225 0.208 0.191 0.178 0.162 0.152 0.137 0.130 0.116 0.111 0.099 0.095 0.084 0.081 0.071 0.069 0.060 0.059 0.051 0.051 0.043 0.043 0.037 0.020 0.016 0.0090.007 0.002 0.001 0 Percent 19% 0.840 0.706 0.593 0.499 0.419 0.352 0.296 0.249 0.209 0.176 0.148 0.124 0.104 0.088 0.074 0.062 0.052 0.044 0.037 0.031 0.013 0.005 0.001 0 20% 25% 0.8330.800 0.6940.640 0.5790.512 0.482 0.410 0.402 0.328 0.335 0.262 0.279 0.210 0.233 0.168 0.194 0.134 0.162 0.135 0.086 0.112 0.069 0.093 0.055 0.078 0.044 0.065 0.035 0.054 0.028 0.045 0.023 0.038 0.018 0.031 0.014 0.026 0.012 0.010 0.004 0.004 0.001 0.0010 0 0 30% 35% 40% 0.769 0.741 0.714 0.592 0.549 0.510 0.455 0.406 0.364 0.350 0.301 0.260 0.2690.223 0.186 0.207 0.165 0.133 0.159 0.122 0.095 0.123 0.091 0.068 0.094 0.067 0.048 0.073 0.050 0.035 0.056 0.037 0.025 0.043 0.027 0.018 0.033 0.020 0.013 0.025 0.015 0.009 0.0200.0110.006 0.015 0.008 0.005 0.012 0.006 0.003 0.009 0.005 0.002 0.007 0.003 0.002 0.005 0.002 0.001 0.001 0.001 0 50% 0.667 0.444 0.296 0.198 0.132 0.088 0.059 0.039 0.026 0.017 0.012 0.008 0.005 0.003 0.002 0.002 0.001 0.001 OOOO ............ 0 0 0 Appendix D Present value of an annuity of $1, PVC PVA Percent Period 7% 1% 0.990 1.970 2.941 3.902 4.853 5.795 6.728 7.652 8.566 9.471 10.368 11.255 12.134 13.004 13.865 14.718 15.562 16.398 17.226 18.046 22.023 25.808 32.835 39.196 2% 0.980 1.942 2.884 3.808 4.713 5.601 6.472 7.325 8.162 8.983 9.787 10.575 11.348 12.106 12.849 13.578 14.292 14.992 15.678 16.351 19.523 22.396 27.355 31.424 3% 0.971 1.913 2.829 3.717 4.580 5.417 6.230 7.020 7.786 8.530 9.253 9.954 10.635 11.296 11.938 12.561 13.166 13.754 14.324 14.877 17.413 19.600 23.115 25.730 0.962 1.886 2.775 3.630 4.452 5.242 6.002 6.733 7.435 8.111 8.760 9.385 9.986 10.563 11.118 11.652 12.166 12.659 13.134 13.590 15.622 17.292 19.793 21.482 5% 0.952 1.859 2.723 3.546 4.329 5.076 5.786 6.463 7.108 7.722 8.306 8.863 9.394 9.899 10.380 10.838 11.274 11.690 12.085 12.462 14.094 15.372 17.159 18.256 0.943 1.833 2.673 3.465 4.212 4.917 5.582 6.210 6.802 7.360 7.887 8.384 8.853 9.295 9.712 10.106 10.477 10.828 11.158 11.470 12.783 13.765 15.046 15.762 0.935 1.808 2.624 3.387 4.100 4.767 5.389 5.971 6.515 7.024 7.499 7.943 8.358 8.745 9.108 9.447 9.763 10.059 10.336 10.594 11.654 12.409 13.332 13.801 8% 0.926 1.783 2.577 3.312 3.993 4.623 5.206 5.747 6.247 6.710 7.139 7.536 7.904 8.244 8.559 8.851 9.122 9.372 9.604 9.818 10.675 11.258 11.925 12.233 9% 10% 11% 12% 0.917 0.909 0.901 0.893 1.759 1.736 1.713 1.690 2.531 2.487 2.444 2.402 3.240 3.170 3.102 3.037 3.890 3.791 3.696 3.605 4.486 4.355 4.231 4.111 5.033 4.868 4.712 4.564 5.535 5.335 5.146 4.968 5.995 5.759 5.537 5.328 6.418 6.145 5.889 5.650 6.805 6.495 6.207 5.938 7.161 6.814 6.492 6.194 7.487 7.103 6.750 6.424 7.786 7.367 6.982 6.628 8.061 7.191 6.811 8.313 7.824 7.3796.974 8.544 8.022 7.5497.120 8.756 8.201 7.702 7.250 8.950 8.365 7.839 7.366 9.129 8.514 7.963 7.469 9.823 9.077 8.422 7.843 10.274 9.427 8.694 8.055 10.7579.7798.951 8.244 10.962 9.9159.042 8.304 7.606 -.-.-.-.-.-.-.-.- Appendix D (concluded) Present value of an annuity of $1 Period 2.385 13% 0.885 1.668 2.361 2.974 3.517 3.998 4.423 4.799 5.132 5.426 5.687 5.918 6.122 302 14% 0.877 1.647 2.322 2.914 3.433 3.889 4.288 4.639 4.946 5.216 5.453 5.660 5.842 6.002 6.142 6.265 6.373 6.467 6.550 6.623 6.873 7.003 7.105 7.133 15% 0.870 1.626 2.283 2.855 3.352 3.784 4.160 4.487 4.772 5.019 5.234 5.421 5.583 5.724 5.847 5.954 6.047 6.128 6.198 6.259 6.464 6.566 6.642 6.661 16% 0.862 1.605 2.246 2.798 3.274 3.685 4.039 4.344 4.607 4.833 5.029 5.197 5.342 5.468 5.575 5.668 5.749 5.818 5.877 5.929 6.097 6.177 6.233 6.246 17% 18% 0.855 0.847 1.585 1.566 2.210 2.174 2.743 2.690 3.199 3.127 3.589 3.498 3.922 3.812 4.207 4.078 4.451 4.303 4.659 4.494 4.836 4.656 4.988 4.793 5.118 4.910 5.229 5.008 5.324 5.092 5.405 5.162 5.475 5.222 5.534 5.273 5.584 5.316 5.628 5.353 5.766 5.467 5.8295.517 5.8715.548 5.880 5.554 Percent 19% 0.840 1.547 2.140 2.639 3.058 3.410 3.706 3.954 4.163 4.339 4.486 4.611 4.715 4.802 4.876 4.938 4.988 5.033 5.070 5.101 5.195 5.235 5.258 5.262 20% 0.833 1.528 2.106 2.589 2.991 3.326 3.605 3.837 4.031 4.192 4.327 4.439 4.533 4.611 4.675 4.730 4.775 4.812 4.843 4.870 4.948 4.979 4.997 4.999 25% 0.800 1.440 1.952 2.362 2.689 2.951 3.161 3.329 3.463 3.571 3.656 3.725 3.780 3.824 3.859 3.887 3.910 3.928 3.942 3.954 3.985 3.995 3.999 4.000 30% 0.769 1.361 1.816 2.166 2.436 2.643 2.802 2.925 3.019 3.092 3.147 3.190 3.223 3.249 3.268 3.283 3.295 3.304 3.311 3.316 3.329 3.332 3.333 3.333 35% 40% 0.741 0.714 1.289 1.224 1.696 1.589 1.997 1.849 2220 2.035 2.168 2.508 2.263 2.598 2.331 2.665 2.379 2.715 2.414 2.752 2.438 2.779 2.456 2.799 2.469 2.814 2.478 2.8252.484 2.834 2.489 2.840 2.844 2.494 2.848 2.496 2.850 2.497 2.856 2.499 2.857 2.500 2.857 2.500 2.857 2.500 50% 0.667 1.111 1.407 1.605 1.737 1.824 1.883 1.922 1.948 1.965 1.977 1.985 1.990 1.993 1.995 1.997 1.998 1.999 1.999 1.999 2.000 2.000 2.000 2.000 6.462 6.604 2.492 6.729 6.840 6.938 7.025 7.330 7.496 7.634 7.675