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You need $25,056 at the end of six years, and your only investment outlet is a 12 percent long-term certificate of deposit (compounded annually). With the certificate of deposit, you make an initial investment at the beginning of the first year. Use Appendix Band Appendix C. (Round "PV Factor" to 3 decimal places. Round the final answers to nearest whole dollar.) a. What single payment could be made at the beginning of the first year to achieve this objective? Single payment made $ b. What amount could you invest at the end of each year annually for six years to achieve this same objective? Amount to be paid $ 3087.539 APPENDIX B Present Value of $1, PV PV-FV[a+o-1 FV(1 + i) 5% Period 19 0.990 0.980 0.971 3% 0.971 0.943 0.915 0.88 10% 0.909 0.826 0.751 0.683 0.961 0.621 4 5 6 7 8 0.951 0.942 0.983 0.923 0.914 0.905 2% 0980 0.961 0.942 0.924 0.906 O.RS 0.871 0.853 0.837 0.8.20 0.804 0.788 0.773 0.758 0.743 0.728 0.714 0.700 0.685 0.673 0.610 0.552 10 11 12 13 Percent 6% 0.913 0.890 0.840 0.792 0.747 0.705 0.665 0.627 0.592 0.558 0.527 0.497 0.489 0.442 0.417 0.394 0.371 0.350 0.952 0.925 ORRO 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 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 0.887 0879 0.820 0.861 0.853 0.844 0.836 DR2 0.820 0.780 0.742 0.672 0.608 0.907 0.854 0.823 0.784 0.746 0.711 0.677 0.645 0.614 0.SAS 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 7% 0.935 0.873 0.816 0.76 0.713 0.666 0.623 0.5R2 0.544 0.508 0.475 0.444 0.415 0.388 0.362 0.339 0.317 0.296 0.277 0.258 0.134 0.131 0.067 0.034 0.926 0.857 0.794 0.735 0.681 0.630 0.53 0.540 0.500 0.463 0.429 0.397 0.36 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 15. 16 17 18 19 20 25 30 40 50 0.901 0.812 0.731 0.659 0.583 0.535 0.482 0.434 0.391 0.352 0.317 0.286 0.258 0.232 0.209 0.18 0.170 0.153 0.138 0.124 0.074 0.044 0.015 0.005 0.564 0.513 0.467 0.424 0.386 0.350 0.319 0.290 0.263 0.239 0.218 0.198 0.180 0.164 0.149 0.092 0.057 0.022 0.009 IEEO ZIEO DECO 0.153 0.174 0.097 0.054 0.372 Period 5. 6. 7 8 9 10 11 12 13 14 15 16 17 18 19 20 25 30 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 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 0.000 0.002 14% 0.877 0.769 0.675 0.592 0.519 0.456 0.400 0.351 0.300 0.270 0.237 0.208 0.182 0.160 0.140 0.123 0.108 0.095 0.03 0.073 0.038 0.020 0.005 0.001 15% 0.870 0.755 0.658 0.572 0.497 0.432 0.376 0.327 0.284 0.247 0.215 0.187 0.163 0.141 0.123 0.107 0.093 0.081 0.070 0.051 0.030 0.015 0.004 0.001 16% 0.862 0.743 0.611 0.552 0.476 0.410 0.354 0.305 0.263 0.227 0.195 0.168 0.145 0.125 0.108 0.083 0.080 0.069 0.050 0.051 0.024 0.012 0.003 0.001 17 0.855 0.731 0.624 0.534 0.456 0.390 0.333 0.285 0.243 0.200 0.178 0.152 0.130 0.111 0.095 0.081 0.009 0.059 0.051 0.043 0.020 0.009 0.002 Percent 18% 0.817 0.718 0.809 0.515 0.437 0.370 0.314 0.266 0.225 0.191 0.162 0.137 0.116 0.099 0.084 0.071 0.060 0.051 0.043 0.037 0.016 0.007 0.001 0 19% 0.840 0.706 0.583 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% 0.833 0.694 0.579 0.482 0.402 0.335 0.279 0.233 0.194 0.162 0.135 0.112 0.093 0.078 0.065 0.054 0.045 0.038 0.031 0.026 0.010 0.004 25% 0.800 0.610 0.512 0.410 0.320 0.262 0.210 0.168 0.134 0.107 0.086 0.069 0.055 0.044 0.035 0.028 0.023 0.018 0.014 0.012 0.004 0.001 0 0 30% 0.769 0.592 0.455 0.350 0.269 0.207 0.159 0.123 0.054 0.073 0.056 0.043 0.033 0.025 0.020 0.015 0.012 0.009 0.007 0.005 0.001 0 0 0 35% 0.741 0.549 0.406 0.301 0.223 0.165 0.122 0.091 0.067 0.050 0.037 0.027 0.000 0.015 0.011 0.008 0.006 0.005 0.003 0.002 0.001 0 0 40% 0.714 0.510 0.364 0.260 0.186 0.133 0.095 0.068 0.048 0.005 0.025 0.018 0.013 0.009 0.006 0.005 0.003 0.002 0.002 0.001 SOK 0.567 0.444 0.296 0.198 0.132 QL088 0.059 0.039 0.025 0.017 0.012 0.008 0.005 0.003 0.002 0.002 0.001 0.001 0 0 0 0 0 40 50 0.001 0 0 0 0 0 0 0 0 Note Faction calcun with SL Sot SN-number for po required interest COLI PVEVO ID In For opened MAS APPENDIX C Future Value of an Annuity of S1, P. FV. - Af+9+ Period 2 3 4 1% 1.000 2.010 3.030 4.080 5.101 6.152 7.214 8.286 6 7 8 9 10 11. 12. 13. 14 15. 16 17 18. 19 20 25 10.462 11.567 12.683 13.809 14.947 16.097 17.258 18.430 19,615 20.811 22.019 28.243 34.785 48.886 64.463 2% 1.000 2.020 3.060 4.122 5.204 6.308 7.434 8.583 9.755 10.950 12.169 13.412 14.680 15.974 17.293 18.639 20.012 21.412 22.841 24.297 32.000 40.588 60.402 84.579 3% 1.000 2.030 3.091 4.184 5.309 6.468 7.662 8.892 10.159 11.464 12.08 14.192 15.618 17.036 18.599 20.157 21.762 23.414 25.117 26.870 36.459 47.575 75.401 112.80 4% 1.000 2.040 3.122 4.246 5.416 6.633 7.898 9.214 10.583 12.006 13.486 15.026 16.627 18.292 20.024 21.825 23.698 25.645 27.671 29.778 41.616 56.085 96.026 152.67 5% 1.000 2.050 3.153 4.310 5.526 6.802 8.142 9.549 11.027 12.578 14.207 15.917 17.713 19.599 21.579 23.657 25.840 28.132 30.539 33.066 47.727 66.439 120.00 209.35 Percent 6% 1.000 2.060 3.184 4.375 5.637 6.975 8.394 9.897 11.491 13.181 14.972 16.870 18.882 21.015 23.276 25.673 28.213 30.906 33.760 36.786 54.865 79.058 154.76 290.34 7% 1.000 2.070 3.215 4.440 5.751 7.153 8.654 10.260 11.978 13.816 15.784 17.888 20.141 22.550 25.129 27.888 30.840 33.999 37.379 40.995 63.249 94.461 199.61 406.53 B% 1.000 2.080 3.246 4.506 5.167 7.336 8.923 10.637 12.48 14.487 16.645 18.977 21.495 24.215 27.152 30.324 33.750 37.450 41.446 15.762 73.106 113.28 259.06 573.77 9% 1.000 2.090 3.278 4.573 5.95 7.523 9.200 11.028 13.021 15.193 17.560 20.141 22.953 26.019 29.361 33.003 36.974 41.301 46.018 51.160 84.701 136.31 337.89 815.08 10% 1.000 2.100 3.310 4.641 6.105 7.716 9.487 11.436 13.579 15.937 18.531 21.384 24.523 27.975 31.772 36.950 40.545 45.599 51.159 57 275 98.347 164.49 42.59 1.163.9 11% 1.000 2.110 3.342 4.710 6.228 7.913 9.783 11.859 14.164 16.722 19.561 22.713 26.212 30.085 34.405 39.190 4.501 50.396 56.929 64.203 114.41 1992 58. 1,668.8 Period - NM 3. B 9. 10 11 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 32.335 37.280 42.753 48.894 55.750 63.400 72.052 133.33 241.33 767.00 2,400.0 12 13% 1.000 2.130 3.407 4.850 6.480 8.323 10.405 12.757 15.416 18.420 21.814 25.650 29.985 34.863 40.417 46.572 53.7.39 61.75 70.749 80.947 155.62 293.20 1,013.7 3,459.5 14% 1.000 2.140 3.440 4.921 6.610 8.536 10.730 13.233 16.ORS 19.337 23.045 27.271 32.089 37.581 43.842 50.980 59.118 58.394 78.969 91,025 181.87 356.79 1,342.0 4,995 Percent 175 1.000 2.170 3.539 5.141 7.014 9.207 11.772 14.773 18.285 22.393 27.200 32.824 39.404 47.103 56.110 66.649 78.979 90.406 110.29 130.03 202.11 647.44 3,134.5 15.00 15% 16% 1.000 1.000 2.150 2.160 3.473 3.506 4.983 5.066 6.742 6.877 8.754 8.977 11.067 11.414 13.727 14.240 16.786 17.519 20.304 21.321 24.349 25.733 29.002 30.850 34.352 36.76 40.505 43.672 47.580 51.660 55.717 60.925 65.075 71.673 75.836 84.141 88.212 98.603 102.44 115.38 212.79 249.21 434.75 530.31 1,779.1 2,360,8 7.217.7 10,436. 18% 19% 1.000 1.000 2.180 2.190 3.572 3.605 5.215 5.291 7.154 7-297 9.442 9.683 12.142 12.523 15.327 15.902 19.086 19.923 23.521 24.701 28.755 30.404 34.931 37.180 42.219 45.244 50.818 54.841 60.965 72.939 79.850 87.088 103.74 115.27 123.41 138.17 1466 165.2 302.60 790.95 9667 4,16121 5,529.8 21.813 31.SIS 20% 30% 1.000 1.000 1.000 2.200 2.250 2.300 3.640 3.813 5.368 5.766 6.187 7.442 8.207 9.043 9.900 11.259 12.756 12.916 15.073 17.583 16.499 19.812 20.799 32.015 25.959 42.519 32.150 56.105 SL208 74127 18.692 68.760 97.625 58.196 99 127.91 72.005 109, 1679 87.412 18.11 218.47 173.64 285.01 12.12 218.06 371.52 154.74 27356 483.97 342.95 630.17 471.98 1.0508 2.346. SO 1,181.9 3,2272 8,730.0 7,313.9 30,089 120,393 45,497 280,256 165,976 14 15 16 17 18 19. 20 25 30 50 Faydance, actor without Note: Factor calculation with color SLIMT -1 SL- Select number of required period required PER OPME Decor 1 For beggoposed the
