Reference Reference Present Value of Annuity of $1 Present Value of $1 Periods Period 1 1% 0.990 2% 3% 4% 0.980 0.971 Period 2 1.970 Period 3 2.941 Period 4 3.902 Period 5 4.853 Period 6 5.795 Period 7 6.728 Period 8 7.652 Period 9 8.566 Period 10 9.471 0.962 1.942 1.913 | 1.886 5% 0.952 1.859 2.884 2.829 2.775 3.808 3.717 3.630 3.546 3.465 3.312 3.170 3.037 4.713 4.580 4.452 4.329 4.212 3.993 3.791 3.605 6% 8% 12% 10% 14% 16% 18% 0.943 0.926 0.909 0.893 0.877 0.862 0.847 1.833 1.783 1.736 | 1.690 1.647 1.605 1.566 1.528 2.723 2.673 2.577 2.487 2.402 2.322 2.246 2.174 2.106 2.798 2.690 2.589 3.274 3.127 2.991 20% Periods 1% 2% 3% 4% 5% 0.833 Period 1 0.990 0.980 0.962 0.971 0.952 Period 2 Period 3 2.914 3.433 Period 4 Period 5 5.601 5.417 5.242 5.076 4.917 4.623 4.355 4.111 6.472 6.230 6.002 5.786 5.582 5.206 4.868 4.564 7.325 7.020 6.733 6.463 6.210 5.747 5.335 4.968 8.162 7.786 7.435 7.108 6.802 6.247 5.759 5.328 8.983 8.530 8.111 7.722 7.360 6.710 6.145 5.650 Period 11 10.368 9.787 9.253 8.760 8.306 7.887 7.139 6.495 5.938 5.453 Period 12 11.255 10.575 9.954 9.385 5.660 8.863 8.384 7.536 6.814 | 6.194 Period 13 12.134 11.348 10.635 9.986 9.394 8.853 7.904 7.103 6.424 5.842 Period 14 13.004 12.106 11.296 10.563 9.899 9.295 8.244 7.367 6.628 6.002 Period 15 13.865 12.849 11.938 11.118 10.380 9.712 8.559 7.606 6.811 6.142 Period 20 18.046 16.351 14.877 13.590 12.462 11.470 9.818 8.514 7.469 Period 25 22.023 19.523 17.413| 15.622 14.094 12.783 | 10.675 9.077 7.843 Period 30 25.808 22.396 | 19.600 17.292 15.372 13.765 | 11.258 9.427 8.055 Period 40 32.835 27.355 23.115 19.793 17.159 15.046 11.925 9.779 8.244 3.889 3.685 3.498 4.288 3.812 4.039 4.639 3.326 Period 6 0.942 0.888 0.837 0.790 3.605 Period 7 0.933 0.871 0.813 4.344 4.078 3.837 Period 8 0.923 0.853 4.946 4.607 4.303 4.031 Period 9 0.914 0.837 5.216 4.833 4.494 4.192 Period 10 0.905 0.820 4.656 5.029 5.197 4.793 4.439 5.342 4.910 4.533 5.468 5.008 4.611 5.575 5.092 4.675 4.327 Period 11 0.896 Period 12 0.887 Period 13 0.879 Period 14 0.870 Period 15 0.861 5.929 5.353 4.870 6.623 6.873 6.097 5.467 4.948 7.003 6.177 5.517 4.979 7.105 6.233 5.548 4.997 6% 8% 10% 12% 14% 16% 20% 0.943 0.926 0.909 0.877 0.893 0.847 0.862 0.833 0.980 0.907 0.961 0.943 0.925 0.797 0.890 0.857 0.826 0.769 0.743 0.718 0.694 0.971 0.942 0.915 0.751 0.889 0.864 0.840 0.794 0.712 0.579 0.675 0.641 0.609 0.961 0.924 0.888 0.855 0.823 0.792 0.735 0.592 0.683 0.636 0.552 0.516 0.482 0.951 0.906 0.863 0.822 0.784 0.681 0.747 0.621 0.567 0.519 0.476 0.437 0.402 0.746 0.705 0.630 0.564 0.507 0.456 0.665 0.760 0.711 0.583 0.513 0.452 0.400 0.731 0.789 0.677 0.627 0.540 0.404 0.467 0.351 0.766 0.703 0.645 0.592 0.500 0.424 0.361 0.308 0.263 0.225 0.194 0.744 0.558 0.676 0.614 0.463 0.270 0.386 0.322 0.227 0.191 0.162 0.804 0.722 0.650 0.585 0.527 0.429 0.350 0.287 0.237 0.195 0.162 0.135 0.788 0.701 0.625 0.557 0.497 0.397 0.319 0.257 0.208 0.168 0.137 0.112 0.773 0.601 0.681 0.530 0.469 0.368 0.290 0.229 0.093 0.182 0.145 0.116 0.661 0.758 0.505 0.577 0.442 0.340 0.263 0.160 0.205 0.125 0.099 0.078 0.743 0.642 0.555 0.481 0.417 0.315 0.239 0.183 0.140 0.108 0.084 0.065 Period 20 0.820 0.673 0.554 0.456 0.377 0.312 0.215 0.149 0.104 0.037 0.073 0.051 0.026 Period 25 0.780 0.610 0.478 0.375 0.295 0.233 0.146 0.092 0.059 0.038 0.024 0.016 0.010 Period 30 0.742 0.552 0.412 0.308 0.231 0.174 0.099 0.057 0.033 0.020 0.012 0.007 0.004 Period 40 0.672 0.453 0.307 0.208 0.142 0.097 0.046 0.022 0.011 0.005 0.003 0.001 0.001 18% 0.410 0.370 0.335 0.354 0.314 0.279 0.305 0.266 0.233