EXHIBIT 12B-2 Present Value of an Annuity of $1 in Arrears; 1/r(1-(1/(1+r)^n)) Periods 4% 5% 6% 1 0.962 0.952 0.943 7% 8% 0.935 0.926 2 1.886 1.859 1.833 3 2.775 2.723 2.673 4 3.630 3.546 3.465 1.808 1.783 2.624 3.387 5 4.452 4.329 4.212 6 5.242 5.076 4.917 4.100 4.767 7 6.002 5.786 8 6.733 9 7.435 7.108 10 8.111 11 8.760 12 9.385 3.312 3.240 3.170 3.993 3.890 3.791 4.623 4.486 4.355 5.582 5.389 5.206 5.033 4.868 6.463 6.210 5.971 5.747 5.535 5.335 6.802 6.515 6.247 5.995 5.759 7.722 7.360 7.024 6.710 6.418 6.145 8.306 7.887 7.499 7.139 6.805 6.495 8.863 8.384 7.943 7.536 7.161 6.814 13 9.986 9.394 8.853 8.358 7.904 7.487 7.103 14 10.563 9.899 9.295 8.745 8.244 7.786 15 11.118 10.380 9.712 9.108 8.559 8.061 7.367 7.606 16 11.652 10.838 10.106 9.447 8.851 8.313 17 12.166 11.274 10.477 9.763 9.122 18 12.659 11.690 10.828 10.059 9.372 8.756 19 13.134 12.085 11.158 10.336 9.604 8.950 20 21 13.590 12.462 11.470 10.594 9.818 14.029 12.821 11.764 10.836 10.017 9.129 9.292 22 23 24 25 14.451 13.163 12.042 11.061 10.201 9.442 14.857 13.489 12 303 11.272 10.371 9.580 15.247 13.799 12.550 11.469 10.529 9.707 15.622 14.094 12.783 11.654 10.675 9.823 8.883 7.230 6.792 6.399 8.985 9.077 26 27 15.983 14.375 13.003 11.826 10.810 9.929 16.330 14.643 13.211 11.987 10.935 10.027 9.237 9.161 8.548 28 16.663 14.898 13.406 12.137 11.051 10.116 9.307 8.602 29 16.984 15.141 13.591 12.278 11.158 10.198 9.370 30 40 8.650 17.292 15.372 13.765 12.409 11.258 10.274 9.427 8.694 19.793 17.159 15.046 13 332 11 925 10.757 9.779 8.951 9% 10% 11% 12% 13% 14% 15% 16% 0.917 0.909 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.833 0.826 0.820 1.759 1.736 1.713 1.690 1.668 1.647 1.626 1.605 1.585 1.566 1.547 1.528 1.509 2.577 2.531 2.487 2.444 2.402 2.361 2.322 2.283 2.246 2.210 2.174 2.140 2.106 2.074 3.102 3.037 2.974 2.914 2.855 2.798 2.743 2.690 2.639 2.589 2.540 2.494 3.696 3.605 3.517 3.433 3.352 3.274 3.199 3.127 3.058 2.991 2.926 2.864 2.803 4.231 4.111 3.998 3.889 3.784 3.685 3.589 3.498 3.410 3.326 3.245 3.167 3.092 3.020 2.951 4.712 4.564 4.423 4.288 4.160 4.039 3.922 3.812 3.706 3.605 3.508 3.416 3.327 3.242 3.161 5.146 4.968 4.799 4.639 4.487 4.344 4.207 4.078 3.954 3.837 3.726 3.619 3.518 3.421 3.329 5.537 5.328 5.132 4.946 4.772 4.607 4.451 4.303 4.163 4.031 3.905 3.786 3.673 3.566 3.463 5.889 5.650 5.426 5.216 5.019 4.833 4.659 4.494 4.339 4.192 4.054 3.923 3.799 3.682 3.571 6.207 5.938 5.687 5.453 5.234 5.029 4.836 4.656 4.486 4.327 4.177 4.035 3.902 3.776 6.492 6.194 5.918 5.660 5.421 5.197 4.988 4.793 4.611 4.439 4.278 6.750 6.424 6.122 5.842 5.583 5.342 5.118 4.910 4.715 4.533 4.362 4.203 4.053 3.912 6.982 6.628 6.302 6.002 5.724 5.468 5.229 5.008 4.802 4.611 4.432 4.265 4.108 3.962 7.191 6.811 6.462 6.142 5.847 5.575 5.324 5.092 4.876 4.675 4.489 4.315 4.153 4.001 7.824 7.379 6.974 6.604 6.265 5.954 5.668 5.405 5.162 4.938 4.730 4.536 4.357 8.544 8.022 7.549 7.120 6.729 6.373 6.047 5.749 5.475 5.222 4.990 4.775 4.576 4.391 4.219 4.059 8.201 7.702 7.250 6.840 6.467 6.128 5.818 5.534 5.273 5.033 4.812 4.608 4.419 4.243 4.080 8.365 3.928 7.839 7.366 6.938 6.550 6.198 5.877 5.584 5.316 5.070 4.843 4.635 4.442 4.263 4.097 3.942 8.514 7.963 7.469 7.025 6.623 6.259 5.929 5.628 5.353 5.101 4.870 4.657 4.460 4.279 4.110 3.954 8.649 8.075 7.562 7.102 6.687 6.312 5.973 5.665 5.384 5.127 4.891 8.772 4.675 4.476 4.292 4.121 3.963 8.176 7.645 7.170 6.743 6.359 6.011 5.696 5.410 5.149 4.909 4.690 4.488 4.302 4.130 3.970 8.266 7.718 6.044 5.723 5.432 5.167 4.925 4.703 4.499 4.311 4.137 3.976 8.348 7.784 7.283 6.835 6.434 6.073 5.746 5.451 5.182 4.937 4.713 4.507 4.318 4.143 3.981 8.422 7.843 7.330 6.873 6.464 6.097 5.766 5.467 5.195 4.948 4.721 4.514 4.323 4.147 3.985 8.488 7.896 7.372 6.906 6.491 6.118 5.783 5.480 5.206 4.956 4.728 4.520 4.328 4.151 3.988 7.943 7.409 6.935 6.514 6.136 5.798 5.492 5.215 4.964 4.734 4.524 4.332 4.154 3.990 7.984 7.441 6.961 6.534 6.152 5.810 5.502 5.223 4.970 4.739 4.528 4.335 4.157 3.992 8.022 7.470 6.983 6.551 6.166 5.820 5.510 5.229 4.975 4.743 4.531 4.337 4.159 3.994 8.055 7.496 7.003 6.566 6.177 5.829 5.517 5.235 4.979 4.746 4.534 4.339 4.160 3.995 8.244 7.634 7.105 6.642 6.233 5.871 5.548 5.258 4.997 4.760 4.544 4.347 4.166 3.999 17% 18% 19% 20% 21% 22% 23% 24% 25% 0.813 0.806 0.800 1.492 1.474 1.457 1.440 2.042 2.011 1.981 1.952 2.448 2.404 2.362 2.745 2.689 3.656 4.127 3.985 3.851 3.725 3.780 3.824 3.859 4.189 4.033 3.887 3.910 EXHIBIT 12B-2 Present Value of an Annuity of $1 in Arrears; 1/r(1-(1/(1+r)^n)) Periods 4% 5% 6% 1 0.962 0.952 0.943 7% 8% 0.935 0.926 2 1.886 1.859 1.833 3 2.775 2.723 2.673 4 3.630 3.546 3.465 1.808 1.783 2.624 3.387 5 4.452 4.329 4.212 6 5.242 5.076 4.917 4.100 4.767 7 6.002 5.786 8 6.733 9 7.435 7.108 10 8.111 11 8.760 12 9.385 3.312 3.240 3.170 3.993 3.890 3.791 4.623 4.486 4.355 5.582 5.389 5.206 5.033 4.868 6.463 6.210 5.971 5.747 5.535 5.335 6.802 6.515 6.247 5.995 5.759 7.722 7.360 7.024 6.710 6.418 6.145 8.306 7.887 7.499 7.139 6.805 6.495 8.863 8.384 7.943 7.536 7.161 6.814 13 9.986 9.394 8.853 8.358 7.904 7.487 7.103 14 10.563 9.899 9.295 8.745 8.244 7.786 7.367 15 11.118 10.380 9.712 9.108 8.559 8.061 16 11.652 10.838 10.106 9.447 8.851 8.313 7.606 7.824 17 12.166 11.274 10.477 9.763 9.122 18 12.659 11.690 10.828 10.059 9.372 8.756 19 13.134 12.085 11.158 10.336 9.604 8.950 20 21 13.590 12.462 11.470 10.594 9.818 14.029 12.821 11.764 10.836 10.017 9.129 9.292 22 23 24 25 14.451 13.163 12.042 11.061 10.201 9.442 14.857 13.489 12 303 11.272 10.371 9.580 15.247 13.799 12.550 11.469 10.529 9.707 15.622 14.094 12.783 11.654 10.675 9.823 8.883 7.230 6.792 6.399 8.985 9.077 26 27 15.983 14.375 13.003 11.826 10.810 9.929 16.330 14.643 13.211 11.987 10.935 10.027 9.237 9.161 8.548 28 16.663 14.898 13.406 12.137 11.051 10.116 9.307 8.602 29 16.984 15.141 13.591 12.278 11.158 10.198 9.370 30 40 8.650 17.292 15.372 13.765 12.409 11.258 10.274 9.427 8.694 19.793 17.159 15.046 13 332 11 925 10.757 9.779 8.951 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 21% 0.917 0.909 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.833 0.826 1.759 1.736 1.713 1.690 1.668 1.647 1.626 1.605 1.585 1.566 1.547 1.528 1.509 2.577 2.531 2.487 2.444 2.402 2.361 2.322 2.283 2.246 2.210 2.174 2.140 2.106 2.074 2.042 3.102 3.037 2.974 2.914 2.855 2.798 2.743 2.690 2.639 2.589 2.540 2.494 3.696 3.605 3.517 3.433 3.352 3.274 3.199 3.127 3.058 2.991 2.926 2.864 2.803 4.231 4.111 3.998 3.889 3.784 3.685 3.589 3.498 3.410 3.326 3.245 3.167 3.092 3.020 2.951 4.712 4.564 4.423 4.288 4.160 4.039 3.922 3.812 3.706 3.605 3.508 3.416 3.327 3.242 3.161 5.146 4.968 4.799 4.639 4.487 4.344 4.207 4.078 3.954 3.837 3.726 3.619 3.518 3.421 3.329 5.537 5.328 5.132 4.946 4.772 4.607 4.451 4.303 4.163 4.031 3.905 3.786 3.673 3.566 3.463 5.889 5.650 5.426 5.216 5.019 4.833 4.659 4.494 4.339 4.192 4.054 3.923 3.799 3.682 3.571 6.207 5.938 5.687 5.453 5.234 5.029 4.836 4.656 4.486 4.327 4.177 4.035 3.902 3.776 6.492 6.194 5.918 5.660 5.421 5.197 4.988 4.793 4.611 4.439 4.278 6.750 6.424 6.122 5.842 5.583 5.342 5.118 4.910 4.715 4.533 4.362 4.203 4.053 3.912 6.982 6.628 6.302 6.002 5.724 5.468 5.229 5.008 4.802 4.611 4.432 4.265 4.108 3.962 7.191 6.811 6.462 6.142 5.847 5.575 5.324 5.092 4.876 4.675 4.489 4.315 4.153 4.001 7.379 6.974 6.604 6.265 5.954 5.668 5.405 5.162 4.938 4.730 4.536 4.357 8.544 8.022 7.549 7.120 6.729 6.373 6.047 5.749 5.475 5.222 4.990 4.775 4.576 4.391 4.219 4.059 8.201 7.702 7.250 6.840 6.467 6.128 5.818 5.534 5.273 5.033 4.812 4.608 4.419 4.243 4.080 8.365 3.928 7.839 7.366 6.938 6.550 6.198 5.877 5.584 5.316 5.070 4.843 4.635 4.442 4.263 4.097 3.942 8.514 7.963 7.469 7.025 6.623 6.259 5.929 5.628 5.353 5.101 4.870 4.657 4.460 4.279 4.110 3.954 8.649 8.075 7.562 7.102 6.687 6.312 5.973 5.665 5.384 5.127 4.891 8.772 4.675 4.476 4.292 4.121 3.963 8.176 7.645 7.170 6.743 6.359 6.011 5.696 5.410 5.149 4.909 4.690 4.488 4.302 4.130 3.970 8.266 7.718 6.044 5.723 5.432 5.167 4.925 4.703 4.499 4.311 4.137 3.976 8.348 7.784 7.283 6.835 6.434 6.073 5.746 5.451 5.182 4.937 4.713 4.507 4.318 4.143 3.981 8.422 7.843 7.330 6.873 6.464 6.097 5.766 5.467 5.195 4.948 4.721 4.514 4.323 4.147 3.985 8.488 7.896 7.372 6.906 6.491 6.118 5.783 5.480 5.206 4.956 4.728 4.520 4.328 4.151 3.988 7.943 7.409 6.935 6.514 6.136 5.798 5.492 5.215 4.964 4.734 4.524 4.332 4.154 3.990 7.984 7.441 6.961 6.534 6.152 5.810 5.502 5.223 4.970 4.739 4.528 4.335 4.157 3.992 8.022 7.470 6.983 6.551 6.166 5.820 5.510 5.229 4.975 4.743 4.531 4.337 4.159 3.994 8.055 7.496 7.003 6.566 6.177 5.829 5.517 5.235 4.979 4.746 4.534 4.339 4.160 3.995 8.244 7.634 7.105 6.642 6.233 5.871 5.548 5.258 4.997 4.760 4.544 4.347 4.166 3.999 22% 23% 24% 25% 0.820 0.813 0.806 0.800 1.492 1.474 1.457 1.440 2.011 1.981 1.952 2.448 2.404 2.362 2.745 2.689 3.656 4.127 3.985 3.851 3.725 3.780 3.824 3.859 4.189 4.033 3.887 3.910 EXHIBIT 12B-2 Present Value of an Annuity of $1 in Arrears; 1/r(1-(1/(1+r)^n)) Periods 4% 5% 6% 1 0.962 0.952 0.943 7% 8% 0.935 0.926 2 1.886 1.859 1.833 3 2.775 2.723 2.673 4 3.630 3.546 3.465 1.808 1.783 2.624 3.387 5 4.452 4.329 4.212 6 5.242 5.076 4.917 4.100 4.767 7 6.002 5.786 8 6.733 9 7.435 7.108 10 8.111 11 8.760 12 9.385 3.312 3.240 3.170 3.993 3.890 3.791 4.623 4.486 4.355 5.582 5.389 5.206 5.033 4.868 6.463 6.210 5.971 5.747 5.535 5.335 6.802 6.515 6.247 5.995 5.759 7.722 7.360 7.024 6.710 6.418 6.145 8.306 7.887 7.499 7.139 6.805 6.495 8.863 8.384 7.943 7.536 7.161 6.814 13 9.986 9.394 8.853 8.358 7.904 7.487 7.103 14 10.563 9.899 9.295 8.745 8.244 7.786 7.367 15 11.118 10.380 9.712 9.108 8.559 8.061 16 11.652 10.838 10.106 9.447 8.851 8.313 7.606 7.824 17 12.166 11.274 10.477 9.763 9.122 18 12.659 11.690 10.828 10.059 9.372 8.756 19 13.134 12.085 11.158 10.336 9.604 8.950 20 21 13.590 12.462 11.470 10.594 9.818 14.029 12.821 11.764 10.836 10.017 9.129 9.292 22 23 24 25 14.451 13.163 12.042 11.061 10.201 9.442 14.857 13.489 12 303 11.272 10.371 9.580 15.247 13.799 12.550 11.469 10.529 9.707 15.622 14.094 12.783 11.654 10.675 9.823 8.883 7.230 6.792 6.399 8.985 9.077 26 27 15.983 14.375 13.003 11.826 10.810 9.929 16.330 14.643 13.211 11.987 10.935 10.027 9.237 9.161 8.548 28 16.663 14.898 13.406 12.137 11.051 10.116 9.307 8.602 29 16.984 15.141 13.591 12.278 11.158 10.198 9.370 30 40 8.650 17.292 15.372 13.765 12.409 11.258 10.274 9.427 8.694 19.793 17.159 15.046 13 332 11 925 10.757 9.779 8.951 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 21% 0.917 0.909 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.833 0.826 1.759 1.736 1.713 1.690 1.668 1.647 1.626 1.605 1.585 1.566 1.547 1.528 1.509 2.577 2.531 2.487 2.444 2.402 2.361 2.322 2.283 2.246 2.210 2.174 2.140 2.106 2.074 2.042 3.102 3.037 2.974 2.914 2.855 2.798 2.743 2.690 2.639 2.589 2.540 2.494 3.696 3.605 3.517 3.433 3.352 3.274 3.199 3.127 3.058 2.991 2.926 2.864 2.803 4.231 4.111 3.998 3.889 3.784 3.685 3.589 3.498 3.410 3.326 3.245 3.167 3.092 3.020 2.951 4.712 4.564 4.423 4.288 4.160 4.039 3.922 3.812 3.706 3.605 3.508 3.416 3.327 3.242 3.161 5.146 4.968 4.799 4.639 4.487 4.344 4.207 4.078 3.954 3.837 3.726 3.619 3.518 3.421 3.329 5.537 5.328 5.132 4.946 4.772 4.607 4.451 4.303 4.163 4.031 3.905 3.786 3.673 3.566 3.463 5.889 5.650 5.426 5.216 5.019 4.833 4.659 4.494 4.339 4.192 4.054 3.923 3.799 3.682 3.571 6.207 5.938 5.687 5.453 5.234 5.029 4.836 4.656 4.486 4.327 4.177 4.035 3.902 3.776 6.492 6.194 5.918 5.660 5.421 5.197 4.988 4.793 4.611 4.439 4.278 6.750 6.424 6.122 5.842 5.583 5.342 5.118 4.910 4.715 4.533 4.362 4.203 4.053 3.912 6.982 6.628 6.302 6.002 5.724 5.468 5.229 5.008 4.802 4.611 4.432 4.265 4.108 3.962 7.191 6.811 6.462 6.142 5.847 5.575 5.324 5.092 4.876 4.675 4.489 4.315 4.153 4.001 7.379 6.974 6.604 6.265 5.954 5.668 5.405 5.162 4.938 4.730 4.536 4.357 8.544 8.022 7.549 7.120 6.729 6.373 6.047 5.749 5.475 5.222 4.990 4.775 4.576 4.391 4.219 4.059 8.201 7.702 7.250 6.840 6.467 6.128 5.818 5.534 5.273 5.033 4.812 4.608 4.419 4.243 4.080 8.365 3.928 7.839 7.366 6.938 6.550 6.198 5.877 5.584 5.316 5.070 4.843 4.635 4.442 4.263 4.097 3.942 8.514 7.963 7.469 7.025 6.623 6.259 5.929 5.628 5.353 5.101 4.870 4.657 4.460 4.279 4.110 3.954 8.649 8.075 7.562 7.102 6.687 6.312 5.973 5.665 5.384 5.127 4.891 8.772 4.675 4.476 4.292 4.121 3.963 8.176 7.645 7.170 6.743 6.359 6.011 5.696 5.410 5.149 4.909 4.690 4.488 4.302 4.130 3.970 8.266 7.718 6.044 5.723 5.432 5.167 4.925 4.703 4.499 4.311 4.137 3.976 8.348 7.784 7.283 6.835 6.434 6.073 5.746 5.451 5.182 4.937 4.713 4.507 4.318 4.143 3.981 8.422 7.843 7.330 6.873 6.464 6.097 5.766 5.467 5.195 4.948 4.721 4.514 4.323 4.147 3.985 8.488 7.896 7.372 6.906 6.491 6.118 5.783 5.480 5.206 4.956 4.728 4.520 4.328 4.151 3.988 7.943 7.409 6.935 6.514 6.136 5.798 5.492 5.215 4.964 4.734 4.524 4.332 4.154 3.990 7.984 7.441 6.961 6.534 6.152 5.810 5.502 5.223 4.970 4.739 4.528 4.335 4.157 3.992 8.022 7.470 6.983 6.551 6.166 5.820 5.510 5.229 4.975 4.743 4.531 4.337 4.159 3.994 8.055 7.496 7.003 6.566 6.177 5.829 5.517 5.235 4.979 4.746 4.534 4.339 4.160 3.995 8.244 7.634 7.105 6.642 6.233 5.871 5.548 5.258 4.997 4.760 4.544 4.347 4.166 3.999 22% 23% 24% 25% 0.820 0.813 0.806 0.800 1.492 1.474 1.457 1.440 2.011 1.981 1.952 2.448 2.404 2.362 2.745 2.689 3.656 4.127 3.985 3.851 3.725 3.780 3.824 3.859 4.189 4.033 3.887 3.910 EXHIBIT 12B-2 Present Value of an Annuity of $1 in Arrears; 1/r(1-(1/(1+r)^n)) Periods 4% 5% 6% 1 0.962 0.952 0.943 7% 8% 0.935 0.926 2 1.886 1.859 1.833 3 2.775 2.723 2.673 4 3.630 3.546 3.465 1.808 1.783 2.624 3.387 5 4.452 4.329 4.212 6 5.242 5.076 4.917 4.100 4.767 7 6.002 5.786 8 6.733 9 7.435 7.108 10 8.111 11 8.760 12 9.385 3.312 3.240 3.170 3.993 3.890 3.791 4.623 4.486 4.355 5.582 5.389 5.206 5.033 4.868 6.463 6.210 5.971 5.747 5.535 5.335 6.802 6.515 6.247 5.995 5.759 7.722 7.360 7.024 6.710 6.418 6.145 8.306 7.887 7.499 7.139 6.805 6.495 8.863 8.384 7.943 7.536 7.161 6.814 13 9.986 9.394 8.853 8.358 7.904 7.487 7.103 14 10.563 9.899 9.295 8.745 8.244 7.786 7.367 15 11.118 10.380 9.712 9.108 8.559 8.061 16 11.652 10.838 10.106 9.447 8.851 8.313 7.606 7.824 17 12.166 11.274 10.477 9.763 9.122 18 12.659 11.690 10.828 10.059 9.372 8.756 19 13.134 12.085 11.158 10.336 9.604 8.950 20 21 13.590 12.462 11.470 10.594 9.818 14.029 12.821 11.764 10.836 10.017 9.129 9.292 22 23 24 25 14.451 13.163 12.042 11.061 10.201 9.442 14.857 13.489 12 303 11.272 10.371 9.580 15.247 13.799 12.550 11.469 10.529 9.707 15.622 14.094 12.783 11.654 10.675 9.823 8.883 7.230 6.792 6.399 8.985 9.077 26 27 15.983 14.375 13.003 11.826 10.810 9.929 16.330 14.643 13.211 11.987 10.935 10.027 9.237 9.161 8.548 28 16.663 14.898 13.406 12.137 11.051 10.116 9.307 8.602 29 16.984 15.141 13.591 12.278 11.158 10.198 9.370 30 40 8.650 17.292 15.372 13.765 12.409 11.258 10.274 9.427 8.694 19.793 17.159 15.046 13 332 11 925 10.757 9.779 8.951 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 21% 0.917 0.909 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.833 0.826 1.759 1.736 1.713 1.690 1.668 1.647 1.626 1.605 1.585 1.566 1.547 1.528 1.509 2.577 2.531 2.487 2.444 2.402 2.361 2.322 2.283 2.246 2.210 2.174 2.140 2.106 2.074 2.042 3.102 3.037 2.974 2.914 2.855 2.798 2.743 2.690 2.639 2.589 2.540 2.494 3.696 3.605 3.517 3.433 3.352 3.274 3.199 3.127 3.058 2.991 2.926 2.864 2.803 4.231 4.111 3.998 3.889 3.784 3.685 3.589 3.498 3.410 3.326 3.245 3.167 3.092 3.020 2.951 4.712 4.564 4.423 4.288 4.160 4.039 3.922 3.812 3.706 3.605 3.508 3.416 3.327 3.242 3.161 5.146 4.968 4.799 4.639 4.487 4.344 4.207 4.078 3.954 3.837 3.726 3.619 3.518 3.421 3.329 5.537 5.328 5.132 4.946 4.772 4.607 4.451 4.303 4.163 4.031 3.905 3.786 3.673 3.566 3.463 5.889 5.650 5.426 5.216 5.019 4.833 4.659 4.494 4.339 4.192 4.054 3.923 3.799 3.682 3.571 6.207 5.938 5.687 5.453 5.234 5.029 4.836 4.656 4.486 4.327 4.177 4.035 3.902 3.776 6.492 6.194 5.918 5.660 5.421 5.197 4.988 4.793 4.611 4.439 4.278 6.750 6.424 6.122 5.842 5.583 5.342 5.118 4.910 4.715 4.533 4.362 4.203 4.053 3.912 6.982 6.628 6.302 6.002 5.724 5.468 5.229 5.008 4.802 4.611 4.432 4.265 4.108 3.962 7.191 6.811 6.462 6.142 5.847 5.575 5.324 5.092 4.876 4.675 4.489 4.315 4.153 4.001 7.379 6.974 6.604 6.265 5.954 5.668 5.405 5.162 4.938 4.730 4.536 4.357 8.544 8.022 7.549 7.120 6.729 6.373 6.047 5.749 5.475 5.222 4.990 4.775 4.576 4.391 4.219 4.059 8.201 7.702 7.250 6.840 6.467 6.128 5.818 5.534 5.273 5.033 4.812 4.608 4.419 4.243 4.080 8.365 3.928 7.839 7.366 6.938 6.550 6.198 5.877 5.584 5.316 5.070 4.843 4.635 4.442 4.263 4.097 3.942 8.514 7.963 7.469 7.025 6.623 6.259 5.929 5.628 5.353 5.101 4.870 4.657 4.460 4.279 4.110 3.954 8.649 8.075 7.562 7.102 6.687 6.312 5.973 5.665 5.384 5.127 4.891 8.772 4.675 4.476 4.292 4.121 3.963 8.176 7.645 7.170 6.743 6.359 6.011 5.696 5.410 5.149 4.909 4.690 4.488 4.302 4.130 3.970 8.266 7.718 6.044 5.723 5.432 5.167 4.925 4.703 4.499 4.311 4.137 3.976 8.348 7.784 7.283 6.835 6.434 6.073 5.746 5.451 5.182 4.937 4.713 4.507 4.318 4.143 3.981 8.422 7.843 7.330 6.873 6.464 6.097 5.766 5.467 5.195 4.948 4.721 4.514 4.323 4.147 3.985 8.488 7.896 7.372 6.906 6.491 6.118 5.783 5.480 5.206 4.956 4.728 4.520 4.328 4.151 3.988 7.943 7.409 6.935 6.514 6.136 5.798 5.492 5.215 4.964 4.734 4.524 4.332 4.154 3.990 7.984 7.441 6.961 6.534 6.152 5.810 5.502 5.223 4.970 4.739 4.528 4.335 4.157 3.992 8.022 7.470 6.983 6.551 6.166 5.820 5.510 5.229 4.975 4.743 4.531 4.337 4.159 3.994 8.055 7.496 7.003 6.566 6.177 5.829 5.517 5.235 4.979 4.746 4.534 4.339 4.160 3.995 8.244 7.634 7.105 6.642 6.233 5.871 5.548 5.258 4.997 4.760 4.544 4.347 4.166 3.999 22% 23% 24% 25% 0.820 0.813 0.806 0.800 1.492 1.474 1.457 1.440 2.011 1.981 1.952 2.448 2.404 2.362 2.745 2.689 3.656 4.127 3.985 3.851 3.725 3.780 3.824 3.859 4.189 4.033 3.887 3.910 EXHIBIT 12B-2 Present Value of an Annuity of $1 in Arrears; 1/r(1-(1/(1+r)^n)) Periods 4% 5% 6% 1 0.962 0.952 0.943 7% 8% 0.935 0.926 2 1.886 1.859 1.833 3 2.775 2.723 2.673 4 3.630 3.546 3.465 1.808 1.783 2.624 3.387 5 4.452 4.329 4.212 6 5.242 5.076 4.917 4.100 4.767 7 6.002 5.786 8 6.733 9 7.435 7.108 10 8.111 11 8.760 12 9.385 3.312 3.240 3.170 3.993 3.890 3.791 4.623 4.486 4.355 5.582 5.389 5.206 5.033 4.868 6.463 6.210 5.971 5.747 5.535 5.335 6.802 6.515 6.247 5.995 5.759 7.722 7.360 7.024 6.710 6.418 6.145 8.306 7.887 7.499 7.139 6.805 6.495 8.863 8.384 7.943 7.536 7.161 6.814 13 9.986 9.394 8.853 8.358 7.904 7.487 7.103 14 10.563 9.899 9.295 8.745 8.244 7.786 15 11.118 10.380 9.712 9.108 8.559 8.061 16 11.652 10.838 10.106 9.447 8.851 8.313 17 12.166 11.274 10.477 9.763 9.122 18 12.659 11.690 10.828 10.059 9.372 8.756 19 13.134 12.085 11.158 10.336 9.604 8.950 20 21 13.590 12.462 11.470 10.594 9.818 14.029 12.821 11.764 10.836 10.017 9.129 9.292 22 23 24 25 14.451 13.163 12.042 11.061 10.201 9.442 14.857 13.489 12 303 11.272 10.371 9.580 15.247 13.799 12.550 11.469 10.529 9.707 15.622 14.094 12.783 11.654 10.675 9.823 8.883 7.230 6.792 6.399 8.985 9.077 26 27 15.983 14.375 13.003 11.826 10.810 9.929 16.330 14.643 13.211 11.987 10.935 10.027 9.237 9.161 8.548 28 16.663 14.898 13.406 12.137 11.051 10.116 9.307 8.602 29 16.984 15.141 13.591 12.278 11.158 10.198 9.370 30 40 8.650 17.292 15.372 13.765 12.409 11.258 10.274 9.427 8.694 19.793 17.159 15.046 13 332 11 925 10.757 9.779 8.951 9% 10% 11% 12% 13% 14% 15% 16% 0.917 0.909 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.833 0.826 0.820 1.759 1.736 1.713 1.690 1.668 1.647 1.626 1.605 1.585 1.566 1.547 1.528 1.509 2.577 2.531 2.487 2.444 2.402 2.361 2.322 2.283 2.246 2.210 2.174 2.140 2.106 2.074 3.102 3.037 2.974 2.914 2.855 2.798 2.743 2.690 2.639 2.589 2.540 2.494 3.696 3.605 3.517 3.433 3.352 3.274 3.199 3.127 3.058 2.991 2.926 2.864 2.803 4.231 4.111 3.998 3.889 3.784 3.685 3.589 3.498 3.410 3.326 3.245 3.167 3.092 3.020 2.951 4.712 4.564 4.423 4.288 4.160 4.039 3.922 3.812 3.706 3.605 3.508 3.416 3.327 3.242 3.161 5.146 4.968 4.799 4.639 4.487 4.344 4.207 4.078 3.954 3.837 3.726 3.619 3.518 3.421 3.329 5.537 5.328 5.132 4.946 4.772 4.607 4.451 4.303 4.163 4.031 3.905 3.786 3.673 3.566 3.463 5.889 5.650 5.426 5.216 5.019 4.833 4.659 4.494 4.339 4.192 4.054 3.923 3.799 3.682 3.571 6.207 5.938 5.687 5.453 5.234 5.029 4.836 4.656 4.486 4.327 4.177 4.035 3.902 3.776 6.492 6.194 5.918 5.660 5.421 5.197 4.988 4.793 4.611 4.439 4.278 6.750 6.424 6.122 5.842 5.583 5.342 5.118 4.910 4.715 4.533 4.362 4.203 4.053 3.912 7.367 6.982 6.628 6.302 6.002 5.724 5.468 5.229 5.008 4.802 4.611 4.432 4.265 4.108 3.962 7.606 7.191 6.811 6.462 6.142 5.847 5.575 5.324 5.092 4.876 4.675 4.489 4.315 4.153 4.001 7.824 7.379 6.974 6.604 6.265 5.954 5.668 5.405 5.162 4.938 4.730 4.536 4.357 8.544 8.022 7.549 7.120 6.729 6.373 6.047 5.749 5.475 5.222 4.990 4.775 4.576 4.391 4.219 4.059 8.201 7.702 7.250 6.840 6.467 6.128 5.818 5.534 5.273 5.033 4.812 4.608 4.419 4.243 4.080 8.365 3.928 7.839 7.366 6.938 6.550 6.198 5.877 5.584 5.316 5.070 4.843 4.635 4.442 4.263 4.097 3.942 8.514 7.963 7.469 7.025 6.623 6.259 5.929 5.628 5.353 5.101 4.870 4.657 4.460 4.279 4.110 3.954 8.649 8.075 7.562 7.102 6.687 6.312 5.973 5.665 5.384 5.127 4.891 8.772 4.675 4.476 4.292 4.121 3.963 8.176 7.645 7.170 6.743 6.359 6.011 5.696 5.410 5.149 4.909 4.690 4.488 4.302 4.130 3.970 8.266 7.718 6.044 5.723 5.432 5.167 4.925 4.703 4.499 4.311 4.137 3.976 8.348 7.784 7.283 6.835 6.434 6.073 5.746 5.451 5.182 4.937 4.713 4.507 4.318 4.143 3.981 8.422 7.843 7.330 6.873 6.464 6.097 5.766 5.467 5.195 4.948 4.721 4.514 4.323 4.147 3.985 8.488 7.896 7.372 6.906 6.491 6.118 5.783 5.480 5.206 4.956 4.728 4.520 4.328 4.151 3.988 7.943 7.409 6.935 6.514 6.136 5.798 5.492 5.215 4.964 4.734 4.524 4.332 4.154 3.990 7.984 7.441 6.961 6.534 6.152 5.810 5.502 5.223 4.970 4.739 4.528 4.335 4.157 3.992 8.022 7.470 6.983 6.551 6.166 5.820 5.510 5.229 4.975 4.743 4.531 4.337 4.159 3.994 8.055 7.496 7.003 6.566 6.177 5.829 5.517 5.235 4.979 4.746 4.534 4.339 4.160 3.995 8.244 7.634 7.105 6.642 6.233 5.871 5.548 5.258 4.997 4.760 4.544 4.347 4.166 3.999 17% 18% 19% 20% 21% 22% 23% 24% 25% 0.813 0.806 0.800 1.492 1.474 1.457 1.440 2.042 2.011 1.981 1.952 2.448 2.404 2.362 2.745 2.689 3.656 4.127 3.985 3.851 3.725 3.780 3.824 3.859 4.189 4.033 3.887 3.910 EXHIBIT 12B-2 Present Value of an Annuity of $1 in Arrears; 1/r(1-(1/(1+r)^n)) Periods 4% 5% 6% 1 0.962 0.952 0.943 7% 8% 0.935 0.926 2 1.886 1.859 1.833 3 2.775 2.723 2.673 4 3.630 3.546 3.465 1.808 1.783 2.624 3.387 5 4.452 4.329 4.212 6 5.242 5.076 4.917 4.100 4.767 7 6.002 5.786 8 6.733 9 7.435 7.108 10 8.111 11 8.760 12 9.385 13 9.986 9.394 8.853 8.358 14 10.563 9.899 9.295 8.745 15 11.118 10.380 9.712 9.108 3.312 3.240 3.170 3.993 3.890 3.791 4.623 4.486 4.355 5.582 5.389 5.206 5.033 4.868 6.463 6.210 5.971 5.747 5.535 5.335 6.802 6.515 6.247 5.995 5.759 7.722 7.360 7.024 6.710 6.418 6.145 8.306 7.887 7.499 7.139 6.805 6.495 8.863 8.384 7.943 7.536 7.161 6.814 7.487 7.103 7.367 7.606 7.904 8.244 7.786 8.559 8.061 16 11.652 10.838 10.106 9.447 8.851 8.313 17 12.166 11.274 10.477 9.763 9.122 18 12.659 11.690 10.828 10.059 9.372 8.756 19 13.134 12.085 11.158 10.336 9.604 8.950 20 21 13.590 12.462 11.470 10.594 9.818 14.029 12.821 11.764 10.836 10.017 9.129 9.292 22 23 24 25 14.451 13.163 12.042 11.061 10.201 9.442 14.857 13.489 12 303 11.272 10.371 9.580 15.247 13.799 12.550 11.469 10.529 9.707 15.622 14.094 12.783 11.654 10.675 9.823 8.883 7.230 6.792 6.399 8.985 9.077 26 27 15.983 14.375 13.003 11.826 10.810 9.929 16.330 14.643 13.211 11.987 10.935 10.027 9.237 9.161 8.548 28 16.663 14.898 13.406 12.137 11.051 10.116 9.307 8.602 29 16.984 15.141 13.591 12.278 11.158 10.198 9.370 30 40 8.650 17.292 15.372 13.765 12.409 11.258 10.274 9.427 8.694 19.793 17.159 15.046 13 332 11 925 10.757 9.779 8.951 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 21% 0.917 0.909 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.833 0.826 1.759 1.736 1.713 1.690 1.668 1.647 1.626 1.605 1.585 1.566 1.547 1.528 1.509 2.577 2.531 2.487 2.444 2.402 2.361 2.322 2.283 2.246 2.210 2.174 2.140 2.106 2.074 2.042 3.102 3.037 2.974 2.914 2.855 2.798 2.743 2.690 2.639 2.589 2.540 2.494 3.696 3.605 3.517 3.433 3.352 3.274 3.199 3.127 3.058 2.991 2.926 2.864 2.803 4.231 4.111 3.998 3.889 3.784 3.685 3.589 3.498 3.410 3.326 3.245 3.167 3.092 3.020 2.951 4.712 4.564 4.423 4.288 4.160 4.039 3.922 3.812 3.706 3.605 3.508 3.416 3.327 3.242 3.161 5.146 4.968 4.799 4.639 4.487 4.344 4.207 4.078 3.954 3.837 3.726 3.619 3.518 3.421 3.329 5.537 5.328 5.132 4.946 4.772 4.607 4.451 4.303 4.163 4.031 3.905 3.786 3.673 3.566 3.463 5.889 5.650 5.426 5.216 5.019 4.833 4.659 4.494 4.339 4.192 4.054 3.923 3.799 3.682 3.571 6.207 5.938 5.687 5.453 5.234 5.029 4.836 4.656 4.486 4.327 4.177 4.035 3.902 3.776 6.492 6.194 5.918 5.660 5.421 5.197 4.988 4.793 4.611 4.439 4.278 6.750 6.424 6.122 5.842 5.583 5.342 5.118 4.910 4.715 4.533 4.362 4.203 6.982 6.628 6.302 6.002 5.724 5.468 5.229 5.008 4.802 4.611 4.432 4.265 4.108 3.962 7.191 6.811 6.462 6.142 5.847 5.575 5.324 5.092 4.876 4.675 4.489 4.315 4.153 4.001 7.824 7.379 6.974 6.604 6.265 5.954 5.668 5.405 5.162 4.938 4.730 4.536 4.357 8.544 8.022 7.549 7.120 6.729 6.373 6.047 5.749 5.475 5.222 4.990 4.775 4.576 4.391 4.219 4.059 8.201 7.702 7.250 6.840 6.467 6.128 5.818 5.534 5.273 5.033 4.812 4.608 4.419 4.243 4.080 8.365 3.928 7.839 7.366 6.938 6.550 6.198 5.877 5.584 5.316 5.070 4.843 4.635 4.442 4.263 4.097 3.942 8.514 7.963 7.469 7.025 6.623 6.259 5.929 5.628 5.353 5.101 4.870 4.657 4.460 4.279 4.110 3.954 8.649 8.075 7.562 7.102 6.687 6.312 5.973 5.665 5.384 5.127 4.891 8.772 4.675 4.476 4.292 4.121 3.963 8.176 7.645 7.170 6.743 6.359 6.011 5.696 5.410 5.149 4.909 4.690 4.488 4.302 4.130 3.970 8.266 7.718 6.044 5.723 5.432 5.167 4.925 4.703 4.499 4.311 4.137 3.976 8.348 7.784 7.283 6.835 6.434 6.073 5.746 5.451 5.182 4.937 4.713 4.507 4.318 4.143 3.981 8.422 7.843 7.330 6.873 6.464 6.097 5.766 5.467 5.195 4.948 4.721 4.514 4.323 4.147 3.985 8.488 7.896 7.372 6.906 6.491 6.118 5.783 5.480 5.206 4.956 4.728 4.520 4.328 4.151 3.988 7.943 7.409 6.935 6.514 6.136 5.798 5.492 5.215 4.964 4.734 4.524 4.332 4.154 3.990 7.984 7.441 6.961 6.534 6.152 5.810 5.502 5.223 4.970 4.739 4.528 4.335 4.157 3.992 8.022 7.470 6.983 6.551 6.166 5.820 5.510 5.229 4.975 4.743 4.531 4.337 4.159 3.994 8.055 7.496 7.003 6.566 6.177 5.829 5.517 5.235 4.979 4.746 4.534 4.339 4.160 3.995 8.244 7.634 7.105 6.642 6.233 5.871 5.548 5.258 4.997 4.760 4.544 4.347 4.166 3.999 22% 23% 24% 25% 0.820 0.813 0.806 0.800 1.492 1.474 1.457 1.440 2.011 1.981 1.952 2.448 2.404 2.362 2.745 2.689 3.656 4.127 3.985 3.851 3.725 4.053 3.912 3.780 3.824 3.859 4.189 4.033 3.887 3.910 EXHIBIT 12B-2 Present Value of an Annuity of $1 in Arrears; 1/r(1-(1/(1+r)^n)) Periods 4% 5% 6% 1 0.962 0.952 0.943 7% 8% 0.935 0.926 2 1.886 1.859 1.833 3 2.775 2.723 2.673 4 3.630 3.546 3.465 1.808 1.783 2.624 3.387 5 4.452 4.329 4.212 6 5.242 5.076 4.917 4.100 4.767 7 6.002 5.786 8 6.733 9 7.435 7.108 10 8.111 11 8.760 12 9.385 3.312 3.240 3.170 3.993 3.890 3.791 4.623 4.486 4.355 5.582 5.389 5.206 5.033 4.868 6.463 6.210 5.971 5.747 5.535 5.335 6.802 6.515 6.247 5.995 5.759 7.722 7.360 7.024 6.710 6.418 6.145 8.306 7.887 7.499 7.139 6.805 6.495 8.863 8.384 7.943 7.536 7.161 6.814 13 9.986 9.394 8.853 8.358 7.904 7.487 7.103 14 10.563 9.899 9.295 8.745 8.244 7.786 7.367 15 11.118 10.380 9.712 9.108 8.559 8.061 16 11.652 10.838 10.106 9.447 8.851 8.313 7.606 7.824 17 12.166 11.274 10.477 9.763 9.122 18 12.659 11.690 10.828 10.059 9.372 8.756 19 13.134 12.085 11.158 10.336 9.604 8.950 20 21 13.590 12.462 11.470 10.594 9.818 14.029 12.821 11.764 10.836 10.017 9.129 9.292 22 23 24 25 14.451 13.163 12.042 11.061 10.201 9.442 14.857 13.489 12 303 11.272 10.371 9.580 15.247 13.799 12.550 11.469 10.529 9.707 15.622 14.094 12.783 11.654 10.675 9.823 8.883 7.230 6.792 6.399 8.985 9.077 26 27 15.983 14.375 13.003 11.826 10.810 9.929 16.330 14.643 13.211 11.987 10.935 10.027 9.237 9.161 8.548 28 16.663 14.898 13.406 12.137 11.051 10.116 9.307 8.602 29 16.984 15.141 13.591 12.278 11.158 10.198 9.370 30 40 8.650 17.292 15.372 13.765 12.409 11.258 10.274 9.427 8.694 19.793 17.159 15.046 13 332 11 925 10.757 9.779 8.951 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 21% 0.917 0.909 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.833 0.826 1.759 1.736 1.713 1.690 1.668 1.647 1.626 1.605 1.585 1.566 1.547 1.528 1.509 2.577 2.531 2.487 2.444 2.402 2.361 2.322 2.283 2.246 2.210 2.174 2.140 2.106 2.074 2.042 3.102 3.037 2.974 2.914 2.855 2.798 2.743 2.690 2.639 2.589 2.540 2.494 3.696 3.605 3.517 3.433 3.352 3.274 3.199 3.127 3.058 2.991 2.926 2.864 2.803 4.231 4.111 3.998 3.889 3.784 3.685 3.589 3.498 3.410 3.326 3.245 3.167 3.092 3.020 2.951 4.712 4.564 4.423 4.288 4.160 4.039 3.922 3.812 3.706 3.605 3.508 3.416 3.327 3.242 3.161 5.146 4.968 4.799 4.639 4.487 4.344 4.207 4.078 3.954 3.837 3.726 3.619 3.518 3.421 3.329 5.537 5.328 5.132 4.946 4.772 4.607 4.451 4.303 4.163 4.031 3.905 3.786 3.673 3.566 3.463 5.889 5.650 5.426 5.216 5.019 4.833 4.659 4.494 4.339 4.192 4.054 3.923 3.799 3.682 3.571 6.207 5.938 5.687 5.453 5.234 5.029 4.836 4.656 4.486 4.327 4.177 4.035 3.902 3.776 6.492 6.194 5.918 5.660 5.421 5.197 4.988 4.793 4.611 4.439 4.278 6.750 6.424 6.122 5.842 5.583 5.342 5.118 4.910 4.715 4.533 4.362 4.203 4.053 3.912 6.982 6.628 6.302 6.002 5.724 5.468 5.229 5.008 4.802 4.611 4.432 4.265 4.108 3.962 7.191 6.811 6.462 6.142 5.847 5.575 5.324 5.092 4.876 4.675 4.489 4.315 4.153 4.001 7.379 6.974 6.604 6.265 5.954 5.668 5.405 5.162 4.938 4.730 4.536 4.357 8.544 8.022 7.549 7.120 6.729 6.373 6.047 5.749 5.475 5.222 4.990 4.775 4.576 4.391 4.219 4.059 8.201 7.702 7.250 6.840 6.467 6.128 5.818 5.534 5.273 5.033 4.812 4.608 4.419 4.243 4.080 8.365 3.928 7.839 7.366 6.938 6.550 6.198 5.877 5.584 5.316 5.070 4.843 4.635 4.442 4.263 4.097 3.942 8.514 7.963 7.469 7.025 6.623 6.259 5.929 5.628 5.353 5.101 4.870 4.657 4.460 4.279 4.110 3.954 8.649 8.075 7.562 7.102 6.687 6.312 5.973 5.665 5.384 5.127 4.891 8.772 4.675 4.476 4.292 4.121 3.963 8.176 7.645 7.170 6.743 6.359 6.011 5.696 5.410 5.149 4.909 4.690 4.488 4.302 4.130 3.970 8.266 7.718 6.044 5.723 5.432 5.167 4.925 4.703 4.499 4.311 4.137 3.976 8.348 7.784 7.283 6.835 6.434 6.073 5.746 5.451 5.182 4.937 4.713 4.507 4.318 4.143 3.981 8.422 7.843 7.330 6.873 6.464 6.097 5.766 5.467 5.195 4.948 4.721 4.514 4.323 4.147 3.985 8.488 7.896 7.372 6.906 6.491 6.118 5.783 5.480 5.206 4.956 4.728 4.520 4.328 4.151 3.988 7.943 7.409 6.935 6.514 6.136 5.798 5.492 5.215 4.964 4.734 4.524 4.332 4.154 3.990 7.984 7.441 6.961 6.534 6.152 5.810 5.502 5.223 4.970 4.739 4.528 4.335 4.157 3.992 8.022 7.470 6.983 6.551 6.166 5.820 5.510 5.229 4.975 4.743 4.531 4.337 4.159 3.994 8.055 7.496 7.003 6.566 6.177 5.829 5.517 5.235 4.979 4.746 4.534 4.339 4.160 3.995 8.244 7.634 7.105 6.642 6.233 5.871 5.548 5.258 4.997 4.760 4.544 4.347 4.166 3.999 22% 23% 24% 25% 0.820 0.813 0.806 0.800 1.492 1.474 1.457 1.440 2.011 1.981 1.952 2.448 2.404 2.362 2.745 2.689 3.656 4.127 3.985 3.851 3.725 3.780 3.824 3.859 4.189 4.033 3.887 3.910 EXHIBIT 12B-2 Present Value of an Annuity of $1 in Arrears; 1/r(1-(1/(1+r)^n)) Periods 4% 5% 6% 1 0.962 0.952 0.943 7% 8% 0.935 0.926 2 1.886 1.859 1.833 3 2.775 2.723 2.673 4 3.630 3.546 3.465 1.808 1.783 2.624 3.387 5 4.452 4.329 4.212 6 5.242 5.076 4.917 4.100 4.767 7 6.002 5.786 8 6.733 9 7.435 7.108 10 8.111 11 8.760 12 9.385 3.312 3.240 3.170 3.993 3.890 3.791 4.623 4.486 4.355 5.582 5.389 5.206 5.033 4.868 6.463 6.210 5.971 5.747 5.535 5.335 6.802 6.515 6.247 5.995 5.759 7.722 7.360 7.024 6.710 6.418 6.145 8.306 7.887 7.499 7.139 6.805 6.495 8.863 8.384 7.943 7.536 7.161 6.814 13 9.986 9.394 8.853 8.358 7.904 7.487 7.103 14 10.563 9.899 9.295 8.745 8.244 7.786 7.367 15 11.118 10.380 9.712 9.108 8.559 8.061 16 11.652 10.838 10.106 9.447 8.851 8.313 7.606 7.824 17 12.166 11.274 10.477 9.763 9.122 18 12.659 11.690 10.828 10.059 9.372 8.756 19 13.134 12.085 11.158 10.336 9.604 8.950 20 21 13.590 12.462 11.470 10.594 9.818 14.029 12.821 11.764 10.836 10.017 9.129 9.292 22 23 24 25 14.451 13.163 12.042 11.061 10.201 9.442 14.857 13.489 12 303 11.272 10.371 9.580 15.247 13.799 12.550 11.469 10.529 9.707 15.622 14.094 12.783 11.654 10.675 9.823 8.883 7.230 6.792 6.399 8.985 9.077 26 27 15.983 14.375 13.003 11.826 10.810 9.929 16.330 14.643 13.211 11.987 10.935 10.027 9.237 9.161 8.548 28 16.663 14.898 13.406 12.137 11.051 10.116 9.307 8.602 29 16.984 15.141 13.591 12.278 11.158 10.198 9.370 30 40 8.650 17.292 15.372 13.765 12.409 11.258 10.274 9.427 8.694 19.793 17.159 15.046 13 332 11 925 10.757 9.779 8.951 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 21% 0.917 0.909 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.833 0.826 1.759 1.736 1.713 1.690 1.668 1.647 1.626 1.605 1.585 1.566 1.547 1.528 1.509 2.577 2.531 2.487 2.444 2.402 2.361 2.322 2.283 2.246 2.210 2.174 2.140 2.106 2.074 2.042 3.102 3.037 2.974 2.914 2.855 2.798 2.743 2.690 2.639 2.589 2.540 2.494 3.696 3.605 3.517 3.433 3.352 3.274 3.199 3.127 3.058 2.991 2.926 2.864 2.803 4.231 4.111 3.998 3.889 3.784 3.685 3.589 3.498 3.410 3.326 3.245 3.167 3.092 3.020 2.951 4.712 4.564 4.423 4.288 4.160 4.039 3.922 3.812 3.706 3.605 3.508 3.416 3.327 3.242 3.161 5.146 4.968 4.799 4.639 4.487 4.344 4.207 4.078 3.954 3.837 3.726 3.619 3.518 3.421 3.329 5.537 5.328 5.132 4.946 4.772 4.607 4.451 4.303 4.163 4.031 3.905 3.786 3.673 3.566 3.463 5.889 5.650 5.426 5.216 5.019 4.833 4.659 4.494 4.339 4.192 4.054 3.923 3.799 3.682 3.571 6.207 5.938 5.687 5.453 5.234 5.029 4.836 4.656 4.486 4.327 4.177 4.035 3.902 3.776 6.492 6.194 5.918 5.660 5.421 5.197 4.988 4.793 4.611 4.439 4.278 6.750 6.424 6.122 5.842 5.583 5.342 5.118 4.910 4.715 4.533 4.362 4.203 4.053 3.912 6.982 6.628 6.302 6.002 5.724 5.468 5.229 5.008 4.802 4.611 4.432 4.265 4.108 3.962 7.191 6.811 6.462 6.142 5.847 5.575 5.324 5.092 4.876 4.675 4.489 4.315 4.153 4.001 7.379 6.974 6.604 6.265 5.954 5.668 5.405 5.162 4.938 4.730 4.536 4.357 8.544 8.022 7.549 7.120 6.729 6.373 6.047 5.749 5.475 5.222 4.990 4.775 4.576 4.391 4.219 4.059 8.201 7.702 7.250 6.840 6.467 6.128 5.818 5.534 5.273 5.033 4.812 4.608 4.419 4.243 4.080 8.365 3.928 7.839 7.366 6.938 6.550 6.198 5.877 5.584 5.316 5.070 4.843 4.635 4.442 4.263 4.097 3.942 8.514 7.963 7.469 7.025 6.623 6.259 5.929 5.628 5.353 5.101 4.870 4.657 4.460 4.279 4.110 3.954 8.649 8.075 7.562 7.102 6.687 6.312 5.973 5.665 5.384 5.127 4.891 8.772 4.675 4.476 4.292 4.121 3.963 8.176 7.645 7.170 6.743 6.359 6.011 5.696 5.410 5.149 4.909 4.690 4.488 4.302 4.130 3.970 8.266 7.718 6.044 5.723 5.432 5.167 4.925 4.703 4.499 4.311 4.137 3.976 8.348 7.784 7.283 6.835 6.434 6.073 5.746 5.451 5.182 4.937 4.713 4.507 4.318 4.143 3.981 8.422 7.843 7.330 6.873 6.464 6.097 5.766 5.467 5.195 4.948 4.721 4.514 4.323 4.147 3.985 8.488 7.896 7.372 6.906 6.491 6.118 5.783 5.480 5.206 4.956 4.728 4.520 4.328 4.151 3.988 7.943 7.409 6.935 6.514 6.136 5.798 5.492 5.215 4.964 4.734 4.524 4.332 4.154 3.990 7.984 7.441 6.961 6.534 6.152 5.810 5.502 5.223 4.970 4.739 4.528 4.335 4.157 3.992 8.022 7.470 6.983 6.551 6.166 5.820 5.510 5.229 4.975 4.743 4.531 4.337 4.159 3.994 8.055 7.496 7.003 6.566 6.177 5.829 5.517 5.235 4.979 4.746 4.534 4.339 4.160 3.995 8.244 7.634 7.105 6.642 6.233 5.871 5.548 5.258 4.997 4.760 4.544 4.347 4.166 3.999 22% 23% 24% 25% 0.820 0.813 0.806 0.800 1.492 1.474 1.457 1.440 2.011 1.981 1.952 2.448 2.404 2.362 2.745 2.689 3.656 4.127 3.985 3.851 3.725 3.780 3.824 3.859 4.189 4.033 3.887 3.910 EXHIBIT 12B-2 Present Value of an Annuity of $1 in Arrears; 1/r(1-(1/(1+r)^n)) Periods 4% 5% 6% 1 0.962 0.952 0.943 7% 8% 0.935 0.926 2 1.886 1.859 1.833 3 2.775 2.723 2.673 4 3.630 3.546 3.465 1.808 1.783 2.624 3.387 5 4.452 4.329 4.212 6 5.242 5.076 4.917 4.100 4.767 7 6.002 5.786 8 6.733 9 7.435 7.108 10 8.111 11 8.760 12 9.385 3.312 3.240 3.170 3.993 3.890 3.791 4.623 4.486 4.355 5.582 5.389 5.206 5.033 4.868 6.463 6.210 5.971 5.747 5.535 5.335 6.802 6.515 6.247 5.995 5.759 7.722 7.360 7.024 6.710 6.418 6.145 8.306 7.887 7.499 7.139 6.805 6.495 8.863 8.384 7.943 7.536 7.161 6.814 13 9.986 9.394 8.853 8.358 7.904 7.487 7.103 14 10.563 9.899 9.295 8.745 8.244 7.786 7.367 15 11.118 10.380 9.712 9.108 8.559 8.061 16 11.652 10.838 10.106 9.447 8.851 8.313 7.606 7.824 17 12.166 11.274 10.477 9.763 9.122 18 12.659 11.690 10.828 10.059 9.372 8.756 19 13.134 12.085 11.158 10.336 9.604 8.950 20 21 13.590 12.462 11.470 10.594 9.818 14.029 12.821 11.764 10.836 10.017 9.129 9.292 22 23 24 25 14.451 13.163 12.042 11.061 10.201 9.442 14.857 13.489 12 303 11.272 10.371 9.580 15.247 13.799 12.550 11.469 10.529 9.707 15.622 14.094 12.783 11.654 10.675 9.823 8.883 7.230 6.792 6.399 8.985 9.077 26 27 15.983 14.375 13.003 11.826 10.810 9.929 16.330 14.643 13.211 11.987 10.935 10.027 9.237 9.161 8.548 28 16.663 14.898 13.406 12.137 11.051 10.116 9.307 8.602 29 16.984 15.141 13.591 12.278 11.158 10.198 9.370 30 40 8.650 17.292 15.372 13.765 12.409 11.258 10.274 9.427 8.694 19.793 17.159 15.046 13 332 11 925 10.757 9.779 8.951 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 21% 0.917 0.909 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.833 0.826 1.759 1.736 1.713 1.690 1.668 1.647 1.626 1.605 1.585 1.566 1.547 1.528 1.509 2.577 2.531 2.487 2.444 2.402 2.361 2.322 2.283 2.246 2.210 2.174 2.140 2.106 2.074 2.042 3.102 3.037 2.974 2.914 2.855 2.798 2.743 2.690 2.639 2.589 2.540 2.494 3.696 3.605 3.517 3.433 3.352 3.274 3.199 3.127 3.058 2.991 2.926 2.864 2.803 4.231 4.111 3.998 3.889 3.784 3.685 3.589 3.498 3.410 3.326 3.245 3.167 3.092 3.020 2.951 4.712 4.564 4.423 4.288 4.160 4.039 3.922 3.812 3.706 3.605 3.508 3.416 3.327 3.242 3.161 5.146 4.968 4.799 4.639 4.487 4.344 4.207 4.078 3.954 3.837 3.726 3.619 3.518 3.421 3.329 5.537 5.328 5.132 4.946 4.772 4.607 4.451 4.303 4.163 4.031 3.905 3.786 3.673 3.566 3.463 5.889 5.650 5.426 5.216 5.019 4.833 4.659 4.494 4.339 4.192 4.054 3.923 3.799 3.682 3.571 6.207 5.938 5.687 5.453 5.234 5.029 4.836 4.656 4.486 4.327 4.177 4.035 3.902 3.776 6.492 6.194 5.918 5.660 5.421 5.197 4.988 4.793 4.611 4.439 4.278 6.750 6.424 6.122 5.842 5.583 5.342 5.118 4.910 4.715 4.533 4.362 4.203 4.053 3.912 6.982 6.628 6.302 6.002 5.724 5.468 5.229 5.008 4.802 4.611 4.432 4.265 4.108 3.962 7.191 6.811 6.462 6.142 5.847 5.575 5.324 5.092 4.876 4.675 4.489 4.315 4.153 4.001 7.379 6.974 6.604 6.265 5.954 5.668 5.405 5.162 4.938 4.730 4.536 4.357 8.544 8.022 7.549 7.120 6.729 6.373 6.047 5.749 5.475 5.222 4.990 4.775 4.576 4.391 4.219 4.059 8.201 7.702 7.250 6.840 6.467 6.128 5.818 5.534 5.273 5.033 4.812 4.608 4.419 4.243 4.080 8.365 3.928 7.839 7.366 6.938 6.550 6.198 5.877 5.584 5.316 5.070 4.843 4.635 4.442 4.263 4.097 3.942 8.514 7.963 7.469 7.025 6.623 6.259 5.929 5.628 5.353 5.101 4.870 4.657 4.460 4.279 4.110 3.954 8.649 8.075 7.562 7.102 6.687 6.312 5.973 5.665 5.384 5.127 4.891 8.772 4.675 4.476 4.292 4.121 3.963 8.176 7.645 7.170 6.743 6.359 6.011 5.696 5.410 5.149 4.909 4.690 4.488 4.302 4.130 3.970 8.266 7.718 6.044 5.723 5.432 5.167 4.925 4.703 4.499 4.311 4.137 3.976 8.348 7.784 7.283 6.835 6.434 6.073 5.746 5.451 5.182 4.937 4.713 4.507 4.318 4.143 3.981 8.422 7.843 7.330 6.873 6.464 6.097 5.766 5.467 5.195 4.948 4.721 4.514 4.323 4.147 3.985 8.488 7.896 7.372 6.906 6.491 6.118 5.783 5.480 5.206 4.956 4.728 4.520 4.328 4.151 3.988 7.943 7.409 6.935 6.514 6.136 5.798 5.492 5.215 4.964 4.734 4.524 4.332 4.154 3.990 7.984 7.441 6.961 6.534 6.152 5.810 5.502 5.223 4.970 4.739 4.528 4.335 4.157 3.992 8.022 7.470 6.983 6.551 6.166 5.820 5.510 5.229 4.975 4.743 4.531 4.337 4.159 3.994 8.055 7.496 7.003 6.566 6.177 5.829 5.517 5.235 4.979 4.746 4.534 4.339 4.160 3.995 8.244 7.634 7.105 6.642 6.233 5.871 5.548 5.258 4.997 4.760 4.544 4.347 4.166 3.999 22% 23% 24% 25% 0.820 0.813 0.806 0.800 1.492 1.474 1.457 1.440 2.011 1.981 1.952 2.448 2.404 2.362 2.745 2.689 3.656 4.127 3.985 3.851 3.725 3.780 3.824 3.859 4.189 4.033 3.887 3.910