Future Value of a Lump-Sum Rate of interest per period in percent Periods 12% 3% 5%...

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Future Value of a Lump-Sum Rate of interest per period in percent Periods 12% 3% 5% 6% 8% 9% 10% 12% 15% 20% Future Value of an Annuity 3 1.015 1.092 1.157 1.191 1.259 1.295 1.331 1.404 1.520 1.728 4 1.020 1.125 1.215 1.263 1.360 1.411 1.464 1.573 1.749 2.073 Rate of interest per period in percent 1.025 1.159 1.278 1.338 1.469 1.538 6 1.030 1.194 1.340 1.418 1.586 1.677 1.771 7 1.035 1.229 1.407 1.503 1.713 1.828 1.948 8 1.040 1.266 1.478 1.594 1.851 9 1.045 1.304 1.551 1.689 1.999 10 1.051 1.343 1.629 1.790 2.159 12 1.061 1.425 1.795 2.012 2.518 2.812 2.594 3.138 15 1.077 1.558 2.078 2.396 3.172 3.642 4.177 16 1.083 1.604 2.182 2.340 3.425 3.970 4.595 17 1.088 1.652 2.292 2.692 3.700 4.327 5.054 18 1.093 1.702 2.406 2.854 3.996 4.717 5.559 19 1.099 1.753 2.527 3.025 4.315 5.141 6.115 20 1.104 1.806 2.653 3.207 4.661 5.604 21 1.110 1.860 2.786 3.399 5.033 22 1.116 1.916 2.925 3.603 5.436 6.658 23 1.121 1.974 3.071 3.819 5.871 7.257 24 1.127 2.033 3.225 4.048 6.341 7.911 25 1.132 2.094 3.386 4.291 6.848 8.623 60 1.348 5.891 18.679 32.987 101.257 176.031 1.610 1.762 2.011 1.973 2.313 2.986 2.210 2.660 3.583 1.992 2.144 2.476 3.059 4.299 2.171 2.357 2.773 3.517 5.159 2.367 3.105 4.045 6.191 3.896 5.350 8.916 5.473 8.137 15.407 6.130 9.357 18.488 6.866 22:186 10.761 7.690 12.375 26.623 8.612 14.231 31.948 6.727 9.646 16.366 38.337 6.108 7.400 10.803 18.821 46.005 8.140 12.100 21.644 55.206 8.954 13.552 24.891 66.247 9.849 15.178 28.625 79.496 10.834 17.000 32.919 95.396 304.482 897.597 4383.99 56347.5 2.488 Periods 396 5% 3 3.015 3.090 3.152 23.276 33.750 37.450 41.446 45.762 50.422 41.430 46.995 55.456 60.893 5% 8% 9% 10% 12% 15% 20% 3.278 3.183 3.246 3.310 3.374 3.472 3.640 4 4.030 4.183 4.310 4.374 4.506 4.641 4.779 4.993 5.368 4.573 5 5.050 5.309 5.525 5.637 5.867 5.985 6.105 6.353 6.742 7.441 6 6.075 6.468 6.801 6.975 7336 7.523 7,715 8.115 8.753 9.929 7 7.105 7.662 8.142 8.393 8.925 9.200 9.487 10.089 11.066 12.915 8 8.141 8.892 9.549 9.897 10.636 11.028 11.435 12.299 13.726 16.499 9 9.1821 10.159 11.026 11.491 12.487 13.021 13.579 14.775 16.785 20.798 10 10.228 11.464 12.580 13.180 14.486 15.193 15.937 17.549 20.303 25.958 12 12.335 14.192 15.917 16.870 18.977 20.140 21.384 15 15.536 18.599 21.578 27.152 29.360 31.772 16 16.614 20.156 23.657 25.672 30.324 33.003 35.949 42.753 55.717 87.442 17 17.697 21.761 25.840 28.218 36.973 40.544 48.883 65.075 105.931 18 18.785 23.414 28.150 30.905 41.301 45.599 55.749 75.836 128.117 19 19.879 25.116 30.539 33.759 46.018 51.159 63.439 88.211 154.740 20 20.979 26.870 33.065 36.785 51.160 57.275 72.052 102.444 186.688 21 22.084 28.676 35.719 39.992 64.002 81.698 118.810 225.026 22 23.194 30.536 38.505 43.392 71.402 92.502 137.632 271.031 23 24.310 32.452 79.543 104.603 159.276 326.237 24 25.432 34.426 44.502 50.815 66.764 76.789 88.497 118.155 184.168 392.484 25 26.559 36.459 47.727 54.864 73.105 84.700 98.347 133.334 212.793 471.981) 60 69.770 163.053 353.584 533.128 1253.21 1944.79 3034.82 7471.64 29219.9 281732 24.133 37.280 29.001 47.580 39.580 72.035 56.764 62.873 69.531 Present Value of a Lump-Sum Present Value of an Annuity Periods 34565 17 18 19 0.909 0.570 0.395 0.330 0.231 0.194 20 0.905 0.553 0.376 0.311 0.214 21 0.900 0.537 0.358 0.294 0.198 22 0.896 0.522 0.341 0.277 23 0.891 0.507 0.325 0.261 24 0.887 0.492 0.310 0.247 25 0.882 0.478 0.295 60 0.741 0.169 0.053 0.183 0.170 0.157 Rate of interest per period in percent 55% 39 5% 6% 8% 9% 10% 0.985 0.915 0.863 0.840 0.793 0.772 0.751 0.980 0.888 0.822 0.792 0.735 0.708 0.683 0.975 0.862 0.783 0.747 0.680 6 0.970 0.838 0.746 0.705 0.631 0.596 0.564 7 0.965 0.813 0.710 0.665 0.583 0.547 0.513 8 0.676 0.627 0.326 0.960 0.789 0.540 0.501 0.466 9 0.956 0.766 0.644 0.592 0.500 0.460 0.4241 0.284 0.193 10 0.951 0.744 0.613 0.558 0.463 0.422 0.385 0.322 0.247 0.161 12 0.941 0.701 0.556 0.497 0.397 0.356 0.318 0.257 0.186 0.112 15 0.927 0.641 0.481 0.417 0.315 0.274 0.239 0.183. 0.122 0.064 16 0.923 0.623 0.458 0.393 0.291 0.251 0.217 0.163 0.106 0.054 0.918 0.605 0.436 0.371 0.270 0.231 0.045 0.587 0.350 0.250 0.914 0.415 0.037 0.070 0.031 0.103 0.061 0.026 0.053 0.021 0.046 0.018 0.040 0.015 0.034 0.012 12% 0.712 15% 0.657 0.578 20% Periods 15% 3 2.970 3% 5% 2.828 2.723 4 3.950 3.717 3.546 0.635 0.571 0.482 5 4.925 4.579 4.329 0.649 0.621 0.567 0.497 0.401 6 5.896 5.417 5.076 4.355 Rate of interest per period in percent 6% 8% 9% 10% 12% 15% 20% 2.673 2.577 2.531 2.487 2.402 2283 2.106 3.465 3.312 3.239 3.170 3.037 2.855 2.588 4.212 3.992 3.889 3.790 3.604 4.917 4.623 4.485 3.352 2.990 4.111 3.784 3.325 0.507 0.432 0.334 7 6.862 6.230 5.786 5.582 5.206 5.033 4.868 4.563 4.160 3.604 0.452 0.375 0.279 8 7.823 7.019 6.463 6.209 5.746 5.534 5.334 4.967 4.487 3.837 0.403 0.360 0.232 9 8.779 7.786 7.108 6.801 6.247 5.995 5.759 5.328 4.771 4.031 10 9.730 8.530 7.721 7.360 6.710 6.417 6.145 5.650 5.018 4.193 12 9.954 8.863 8.383 11.937 0.197 0.145 0.092 0.212 0.179 0.130 0.080 0.163 0.116 0.178 0.148 23 21.675 10.371 0.163 0.150 0.137 0.135 0.092 0.122 0.082 0.111 0.073 24 22.562 10.528 25 23.445 60 51.725 10.674 11.618 6.194 5.420 4.439 15 14.416 10.379 9.712 8.559 8.060 7.606 6.810 5.847 4.675 16 15.339 12.361 10.836 10.105 8.851 8.312 7.823 6.974 17 16.258 13.166 11.274 10.477 9.121 8.543 8.021 7.119 18 17.172 13.753 11.689 10.827 9.371 8.755 8.201 7.249 6.128 4.812 19 18.082 14.323 12.085 11.158 9.603 8.950 8.364 7.365 6.198 4.843 20 14.877 11.469 9.818 18.987 9.128 8.500 12.460 7.469 6.259 4.869 21 19.888 15.415 12.821 11.764 10.016 9.292 8.648 7.562 6.312 4.891 22 20.784 15.936 13.163 12.041 10.200 9.442 8.771 7.644 6358 4.909 16.443 13.488 12.303 8.883 7.718 6.398 4.924 16.935 13.798 12.550 8.984 7.784 6.433 4.937 17.413 14.093 12.783 9.077 7.843 6.464 4.947 27.675 18.929 16.161 9.967 8.324 6.665 4.999 7.536 7.160 6.813 5.954 4.729 6.047 4.774 9.580 9.706 9.822 12.376 11.048 0.126 0.101 0.065 0.233 0.030 0.146 0.116 0.092 0.058 0.030 0.010 0.009 0.005 0.003 0.001 0.001 0.001 Future Value of a Lump-Sum Rate of interest per period in percent Periods 12% 3% 5% 6% 8% 9% 10% 12% 15% 20% Future Value of an Annuity 3 1.015 1.092 1.157 1.191 1.259 1.295 1.331 1.404 1.520 1.728 4 1.020 1.125 1.215 1.263 1.360 1.411 1.464 1.573 1.749 2.073 Rate of interest per period in percent 1.025 1.159 1.278 1.338 1.469 1.538 6 1.030 1.194 1.340 1.418 1.586 1.677 1.771 7 1.035 1.229 1.407 1.503 1.713 1.828 1.948 8 1.040 1.266 1.478 1.594 1.851 9 1.045 1.304 1.551 1.689 1.999 10 1.051 1.343 1.629 1.790 2.159 12 1.061 1.425 1.795 2.012 2.518 2.812 2.594 3.138 15 1.077 1.558 2.078 2.396 3.172 3.642 4.177 16 1.083 1.604 2.182 2.340 3.425 3.970 4.595 17 1.088 1.652 2.292 2.692 3.700 4.327 5.054 18 1.093 1.702 2.406 2.854 3.996 4.717 5.559 19 1.099 1.753 2.527 3.025 4.315 5.141 6.115 20 1.104 1.806 2.653 3.207 4.661 5.604 21 1.110 1.860 2.786 3.399 5.033 22 1.116 1.916 2.925 3.603 5.436 6.658 23 1.121 1.974 3.071 3.819 5.871 7.257 24 1.127 2.033 3.225 4.048 6.341 7.911 25 1.132 2.094 3.386 4.291 6.848 8.623 60 1.348 5.891 18.679 32.987 101.257 176.031 1.610 1.762 2.011 1.973 2.313 2.986 2.210 2.660 3.583 1.992 2.144 2.476 3.059 4.299 2.171 2.357 2.773 3.517 5.159 2.367 3.105 4.045 6.191 3.896 5.350 8.916 5.473 8.137 15.407 6.130 9.357 18.488 6.866 22:186 10.761 7.690 12.375 26.623 8.612 14.231 31.948 6.727 9.646 16.366 38.337 6.108 7.400 10.803 18.821 46.005 8.140 12.100 21.644 55.206 8.954 13.552 24.891 66.247 9.849 15.178 28.625 79.496 10.834 17.000 32.919 95.396 304.482 897.597 4383.99 56347.5 2.488 Periods 396 5% 3 3.015 3.090 3.152 23.276 33.750 37.450 41.446 45.762 50.422 41.430 46.995 55.456 60.893 5% 8% 9% 10% 12% 15% 20% 3.278 3.183 3.246 3.310 3.374 3.472 3.640 4 4.030 4.183 4.310 4.374 4.506 4.641 4.779 4.993 5.368 4.573 5 5.050 5.309 5.525 5.637 5.867 5.985 6.105 6.353 6.742 7.441 6 6.075 6.468 6.801 6.975 7336 7.523 7,715 8.115 8.753 9.929 7 7.105 7.662 8.142 8.393 8.925 9.200 9.487 10.089 11.066 12.915 8 8.141 8.892 9.549 9.897 10.636 11.028 11.435 12.299 13.726 16.499 9 9.1821 10.159 11.026 11.491 12.487 13.021 13.579 14.775 16.785 20.798 10 10.228 11.464 12.580 13.180 14.486 15.193 15.937 17.549 20.303 25.958 12 12.335 14.192 15.917 16.870 18.977 20.140 21.384 15 15.536 18.599 21.578 27.152 29.360 31.772 16 16.614 20.156 23.657 25.672 30.324 33.003 35.949 42.753 55.717 87.442 17 17.697 21.761 25.840 28.218 36.973 40.544 48.883 65.075 105.931 18 18.785 23.414 28.150 30.905 41.301 45.599 55.749 75.836 128.117 19 19.879 25.116 30.539 33.759 46.018 51.159 63.439 88.211 154.740 20 20.979 26.870 33.065 36.785 51.160 57.275 72.052 102.444 186.688 21 22.084 28.676 35.719 39.992 64.002 81.698 118.810 225.026 22 23.194 30.536 38.505 43.392 71.402 92.502 137.632 271.031 23 24.310 32.452 79.543 104.603 159.276 326.237 24 25.432 34.426 44.502 50.815 66.764 76.789 88.497 118.155 184.168 392.484 25 26.559 36.459 47.727 54.864 73.105 84.700 98.347 133.334 212.793 471.981) 60 69.770 163.053 353.584 533.128 1253.21 1944.79 3034.82 7471.64 29219.9 281732 24.133 37.280 29.001 47.580 39.580 72.035 56.764 62.873 69.531 Present Value of a Lump-Sum Present Value of an Annuity Periods 34565 17 18 19 0.909 0.570 0.395 0.330 0.231 0.194 20 0.905 0.553 0.376 0.311 0.214 21 0.900 0.537 0.358 0.294 0.198 22 0.896 0.522 0.341 0.277 23 0.891 0.507 0.325 0.261 24 0.887 0.492 0.310 0.247 25 0.882 0.478 0.295 60 0.741 0.169 0.053 0.183 0.170 0.157 Rate of interest per period in percent 55% 39 5% 6% 8% 9% 10% 0.985 0.915 0.863 0.840 0.793 0.772 0.751 0.980 0.888 0.822 0.792 0.735 0.708 0.683 0.975 0.862 0.783 0.747 0.680 6 0.970 0.838 0.746 0.705 0.631 0.596 0.564 7 0.965 0.813 0.710 0.665 0.583 0.547 0.513 8 0.676 0.627 0.326 0.960 0.789 0.540 0.501 0.466 9 0.956 0.766 0.644 0.592 0.500 0.460 0.4241 0.284 0.193 10 0.951 0.744 0.613 0.558 0.463 0.422 0.385 0.322 0.247 0.161 12 0.941 0.701 0.556 0.497 0.397 0.356 0.318 0.257 0.186 0.112 15 0.927 0.641 0.481 0.417 0.315 0.274 0.239 0.183. 0.122 0.064 16 0.923 0.623 0.458 0.393 0.291 0.251 0.217 0.163 0.106 0.054 0.918 0.605 0.436 0.371 0.270 0.231 0.045 0.587 0.350 0.250 0.914 0.415 0.037 0.070 0.031 0.103 0.061 0.026 0.053 0.021 0.046 0.018 0.040 0.015 0.034 0.012 12% 0.712 15% 0.657 0.578 20% Periods 15% 3 2.970 3% 5% 2.828 2.723 4 3.950 3.717 3.546 0.635 0.571 0.482 5 4.925 4.579 4.329 0.649 0.621 0.567 0.497 0.401 6 5.896 5.417 5.076 4.355 Rate of interest per period in percent 6% 8% 9% 10% 12% 15% 20% 2.673 2.577 2.531 2.487 2.402 2283 2.106 3.465 3.312 3.239 3.170 3.037 2.855 2.588 4.212 3.992 3.889 3.790 3.604 4.917 4.623 4.485 3.352 2.990 4.111 3.784 3.325 0.507 0.432 0.334 7 6.862 6.230 5.786 5.582 5.206 5.033 4.868 4.563 4.160 3.604 0.452 0.375 0.279 8 7.823 7.019 6.463 6.209 5.746 5.534 5.334 4.967 4.487 3.837 0.403 0.360 0.232 9 8.779 7.786 7.108 6.801 6.247 5.995 5.759 5.328 4.771 4.031 10 9.730 8.530 7.721 7.360 6.710 6.417 6.145 5.650 5.018 4.193 12 9.954 8.863 8.383 11.937 0.197 0.145 0.092 0.212 0.179 0.130 0.080 0.163 0.116 0.178 0.148 23 21.675 10.371 0.163 0.150 0.137 0.135 0.092 0.122 0.082 0.111 0.073 24 22.562 10.528 25 23.445 60 51.725 10.674 11.618 6.194 5.420 4.439 15 14.416 10.379 9.712 8.559 8.060 7.606 6.810 5.847 4.675 16 15.339 12.361 10.836 10.105 8.851 8.312 7.823 6.974 17 16.258 13.166 11.274 10.477 9.121 8.543 8.021 7.119 18 17.172 13.753 11.689 10.827 9.371 8.755 8.201 7.249 6.128 4.812 19 18.082 14.323 12.085 11.158 9.603 8.950 8.364 7.365 6.198 4.843 20 14.877 11.469 9.818 18.987 9.128 8.500 12.460 7.469 6.259 4.869 21 19.888 15.415 12.821 11.764 10.016 9.292 8.648 7.562 6.312 4.891 22 20.784 15.936 13.163 12.041 10.200 9.442 8.771 7.644 6358 4.909 16.443 13.488 12.303 8.883 7.718 6.398 4.924 16.935 13.798 12.550 8.984 7.784 6.433 4.937 17.413 14.093 12.783 9.077 7.843 6.464 4.947 27.675 18.929 16.161 9.967 8.324 6.665 4.999 7.536 7.160 6.813 5.954 4.729 6.047 4.774 9.580 9.706 9.822 12.376 11.048 0.126 0.101 0.065 0.233 0.030 0.146 0.116 0.092 0.058 0.030 0.010 0.009 0.005 0.003 0.001 0.001 0.001