Present value interest factor of an (ordinary) annuity of $1 per period at i% for n periods (PVIFAi,n) |
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| (PVIFAi,n)=[ 1-1/(1+i)n]/i | |||||||||||||||||||||||||||||||||||||||||||||||||||
| Interest Rate (i) | |||||||||||||||||||||||||||||||||||||||||||||||||||
| n | 1% | 2% | 3% | 4% | 5% | 6% | 7% | 8% | 9% | 10% | 11% | 12% | 13% | 14% | 15% | 16% | 17% | 18% | 19% | 20% | 21% | 22% | 23% | 24% | 25% | 26% | 27% | 28% | 29% | 30% | 31% | 32% | 33% | 34% | 35% | 36% | 37% | 38% | 39% | 40% | 41% | 42% | 43% | 44% | 45% | 46% | 47% | 48% | 49% | 50% | n |
| 1 | 0.99 | 0.98 | 0.971 | 0.962 | 0.952 | 0.943 | 0.935 | 0.926 | 0.917 | 0.909 | 0.901 | 0.893 | 0.885 | 0.877 | 0.87 | 0.862 | 0.855 | 0.847 | 0.84 | 0.833 | 0.826 | 0.82 | 0.813 | 0.806 | 0.8 | 0.794 | 0.787 | 0.781 | 0.775 | 0.769 | 0.763 | 0.758 | 0.752 | 0.746 | 0.741 | 0.735 | 0.73 | 0.725 | 0.719 | 0.714 | 0.709 | 0.704 | 0.699 | 0.694 | 0.69 | 0.685 | 0.68 | 0.676 | 0.671 | 0.667 | 1 |
| 2 | 1.97 | 1.942 | 1.913 | 1.886 | 1.859 | 1.833 | 1.808 | 1.783 | 1.759 | 1.736 | 1.713 | 1.69 | 1.668 | 1.647 | 1.626 | 1.605 | 1.585 | 1.566 | 1.547 | 1.528 | 1.509 | 1.492 | 1.474 | 1.457 | 1.44 | 1.424 | 1.407 | 1.392 | 1.376 | 1.361 | 1.346 | 1.331 | 1.317 | 1.303 | 1.289 | 1.276 | 1.263 | 1.25 | 1.237 | 1.224 | 1.212 | 1.2 | 1.188 | 1.177 | 1.165 | 1.154 | 1.143 | 1.132 | 1.122 | 1.111 | 2 |
| 3 | 2.941 | 2.884 | 2.829 | 2.775 | 2.723 | 2.673 | 2.624 | 2.577 | 2.531 | 2.487 | 2.444 | 2.402 | 2.361 | 2.322 | 2.283 | 2.246 | 2.21 | 2.174 | 2.14 | 2.106 | 2.074 | 2.042 | 2.011 | 1.981 | 1.952 | 1.923 | 1.896 | 1.868 | 1.842 | 1.816 | 1.791 | 1.766 | 1.742 | 1.719 | 1.696 | 1.673 | 1.652 | 1.63 | 1.609 | 1.589 | 1.569 | 1.549 | 1.53 | 1.512 | 1.493 | 1.475 | 1.458 | 1.441 | 1.424 | 1.407 | 3 |
| 4 | 3.902 | 3.808 | 3.717 | 3.63 | 3.546 | 3.465 | 3.387 | 3.312 | 3.24 | 3.17 | 3.102 | 3.037 | 2.974 | 2.914 | 2.855 | 2.798 | 2.743 | 2.69 | 2.639 | 2.589 | 2.54 | 2.494 | 2.448 | 2.404 | 2.362 | 2.32 | 2.28 | 2.241 | 2.203 | 2.166 | 2.13 | 2.096 | 2.062 | 2.029 | 1.997 | 1.966 | 1.935 | 1.906 | 1.877 | 1.849 | 1.822 | 1.795 | 1.769 | 1.744 | 1.72 | 1.695 | 1.672 | 1.649 | 1.627 | 1.605 | 4 |
| 5 | 4.853 | 4.713 | 4.58 | 4.452 | 4.329 | 4.212 | 4.1 | 3.993 | 3.89 | 3.791 | 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 | 2.745 | 2.689 | 2.635 | 2.583 | 2.532 | 2.483 | 2.436 | 2.39 | 2.345 | 2.302 | 2.26 | 2.22 | 2.181 | 2.143 | 2.106 | 2.07 | 2.035 | 2.001 | 1.969 | 1.937 | 1.906 | 1.876 | 1.846 | 1.818 | 1.79 | 1.763 | 1.737 | 5 |
| 6 | 5.795 | 5.601 | 5.417 | 5.242 | 5.076 | 4.917 | 4.767 | 4.623 | 4.486 | 4.355 | 4.231 | 4.111 | 3.998 | 3.889 | 3.784 | 3.685 | 3.589 | 3.498 | 3.41 | 3.326 | 3.245 | 3.167 | 3.092 | 3.02 | 2.951 | 2.885 | 2.821 | 2.759 | 2.7 | 2.643 | 2.588 | 2.534 | 2.483 | 2.433 | 2.385 | 2.339 | 2.294 | 2.251 | 2.209 | 2.168 | 2.129 | 2.091 | 2.054 | 2.018 | 1.983 | 1.949 | 1.917 | 1.885 | 1.854 | 1.824 | 6 |
| 7 | 6.728 | 6.472 | 6.23 | 6.002 | 5.786 | 5.582 | 5.389 | 5.206 | 5.033 | 4.868 | 4.712 | 4.564 | 4.423 | 4.288 | 4.16 | 4.039 | 3.922 | 3.812 | 3.706 | 3.605 | 3.508 | 3.416 | 3.327 | 3.242 | 3.161 | 3.083 | 3.009 | 2.937 | 2.868 | 2.802 | 2.739 | 2.677 | 2.619 | 2.562 | 2.508 | 2.455 | 2.404 | 2.355 | 2.308 | 2.263 | 2.219 | 2.176 | 2.135 | 2.096 | 2.057 | 2.02 | 1.984 | 1.949 | 1.916 | 1.883 | 7 |
| 8 | 7.652 | 7.325 | 7.02 | 6.733 | 6.463 | 6.21 | 5.971 | 5.747 | 5.535 | 5.335 | 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 | 3.241 | 3.156 | 3.076 | 2.999 | 2.925 | 2.854 | 2.786 | 2.721 | 2.658 | 2.598 | 2.54 | 2.485 | 2.432 | 2.38 | 2.331 | 2.283 | 2.237 | 2.193 | 2.15 | 2.109 | 2.069 | 2.03 | 1.993 | 1.957 | 1.922 | 8 |
| 9 | 8.566 | 8.162 | 7.786 | 7.435 | 7.108 | 6.802 | 6.515 | 6.247 | 5.995 | 5.759 | 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 | 3.366 | 3.273 | 3.184 | 3.1 | 3.019 | 2.942 | 2.868 | 2.798 | 2.73 | 2.665 | 2.603 | 2.544 | 2.487 | 2.432 | 2.379 | 2.328 | 2.28 | 2.233 | 2.187 | 2.144 | 2.102 | 2.061 | 2.022 | 1.984 | 1.948 | 9 |
| 10 | 9.471 | 8.983 | 8.53 | 8.111 | 7.722 | 7.36 | 7.024 | 6.71 | 6.418 | 6.145 | 5.889 | 5.65 | 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 | 3.465 | 3.364 | 3.269 | 3.178 | 3.092 | 3.009 | 2.93 | 2.855 | 2.784 | 2.715 | 2.649 | 2.587 | 2.527 | 2.469 | 2.414 | 2.36 | 2.31 | 2.261 | 2.213 | 2.168 | 2.125 | 2.083 | 2.042 | 2.003 | 1.965 | 10 |
| 11 | 10.368 | 9.787 | 9.253 | 8.76 | 8.306 | 7.887 | 7.499 | 7.139 | 6.805 | 6.495 | 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 | 3.656 | 3.543 | 3.437 | 3.335 | 3.239 | 3.147 | 3.06 | 2.978 | 2.899 | 2.824 | 2.752 | 2.683 | 2.618 | 2.555 | 2.496 | 2.438 | 2.383 | 2.331 | 2.28 | 2.232 | 2.185 | 2.14 | 2.097 | 2.055 | 2.015 | 1.977 | 11 |
| 12 | 11.255 | 10.575 | 9.954 | 9.385 | 8.863 | 8.384 | 7.943 | 7.536 | 7.161 | 6.814 | 6.492 | 6.194 | 5.918 | 5.66 | 5.421 | 5.197 | 4.988 | 4.793 | 4.611 | 4.439 | 4.278 | 4.127 | 3.985 | 3.851 | 3.725 | 3.606 | 3.493 | 3.387 | 3.286 | 3.19 | 3.1 | 3.013 | 2.931 | 2.853 | 2.779 | 2.708 | 2.641 | 2.576 | 2.515 | 2.456 | 2.4 | 2.346 | 2.294 | 2.244 | 2.196 | 2.151 | 2.107 | 2.064 | 2.024 | 1.985 | 12 |
| 13 | 12.134 | 11.348 | 10.635 | 9.986 | 9.394 | 8.853 | 8.358 | 7.904 | 7.487 | 7.103 | 6.75 | 6.424 | 6.122 | 5.842 | 5.583 | 5.342 | 5.118 | 4.91 | 4.715 | 4.533 | 4.362 | 4.203 | 4.053 | 3.912 | 3.78 | 3.656 | 3.538 | 3.427 | 3.322 | 3.223 | 3.129 | 3.04 | 2.956 | 2.876 | 2.799 | 2.727 | 2.658 | 2.592 | 2.529 | 2.469 | 2.411 | 2.356 | 2.303 | 2.253 | 2.204 | 2.158 | 2.113 | 2.071 | 2.029 | 1.99 | 13 |
| 14 | 13.004 | 12.106 | 11.296 | 10.563 | 9.899 | 9.295 | 8.745 | 8.244 | 7.786 | 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 | 3.824 | 3.695 | 3.573 | 3.459 | 3.351 | 3.249 | 3.152 | 3.061 | 2.974 | 2.892 | 2.814 | 2.74 | 2.67 | 2.603 | 2.539 | 2.478 | 2.419 | 2.363 | 2.31 | 2.259 | 2.21 | 2.163 | 2.118 | 2.075 | 2.033 | 1.993 | 14 |
| 15 | 13.865 | 12.849 | 11.938 | 11.118 | 10.38 | 9.712 | 9.108 | 8.559 | 8.061 | 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 | 3.859 | 3.726 | 3.601 | 3.483 | 3.373 | 3.268 | 3.17 | 3.076 | 2.988 | 2.905 | 2.825 | 2.75 | 2.679 | 2.611 | 2.546 | 2.484 | 2.425 | 2.369 | 2.315 | 2.263 | 2.214 | 2.166 | 2.121 | 2.078 | 2.036 | 1.995 | 15 |
| 16 | 14.718 | 13.578 | 12.561 | 11.652 | 10.838 | 10.106 | 9.447 | 8.851 | 8.313 | 7.824 | 7.379 | 6.974 | 6.604 | 6.265 | 5.954 | 5.668 | 5.405 | 5.162 | 4.938 | 4.73 | 4.536 | 4.357 | 4.189 | 4.033 | 3.887 | 3.751 | 3.623 | 3.503 | 3.39 | 3.283 | 3.183 | 3.088 | 2.999 | 2.914 | 2.834 | 2.757 | 2.685 | 2.616 | 2.551 | 2.489 | 2.429 | 2.372 | 2.318 | 2.266 | 2.216 | 2.169 | 2.123 | 2.079 | 2.037 | 1.997 | 16 |
| 17 | 15.562 | 14.292 | 13.166 | 12.166 | 11.274 | 10.477 | 9.763 | 9.122 | 8.544 | 8.022 | 7.549 | 7.12 | 6.729 | 6.373 | 6.047 | 5.749 | 5.475 | 5.222 | 4.99 | 4.775 | 4.576 | 4.391 | 4.219 | 4.059 | 3.91 | 3.771 | 3.64 | 3.518 | 3.403 | 3.295 | 3.193 | 3.097 | 3.007 | 2.921 | 2.84 | 2.763 | 2.69 | 2.621 | 2.555 | 2.492 | 2.432 | 2.375 | 2.32 | 2.268 | 2.218 | 2.17 | 2.125 | 2.081 | 2.038 | 1.998 | 17 |
| 18 | 16.398 | 14.992 | 13.754 | 12.659 | 11.69 | 10.828 | 10.059 | 9.372 | 8.756 | 8.201 | 7.702 | 7.25 | 6.84 | 6.467 | 6.128 | 5.818 | 5.534 | 5.273 | 5.033 | 4.812 | 4.608 | 4.419 | 4.243 | 4.08 | 3.928 | 3.786 | 3.654 | 3.529 | 3.413 | 3.304 | 3.201 | 3.104 | 3.012 | 2.926 | 2.844 | 2.767 | 2.693 | 2.624 | 2.557 | 2.494 | 2.434 | 2.377 | 2.322 | 2.27 | 2.219 | 2.172 | 2.126 | 2.082 | 2.039 | 1.999 | 18 |
| 19 | 17.226 | 15.678 | 14.324 | 13.134 | 12.085 | 11.158 | 10.336 | 9.604 | 8.95 | 8.365 | 7.839 | 7.366 | 6.938 | 6.55 | 6.198 | 5.877 | 5.584 | 5.316 | 5.07 | 4.843 | 4.635 | 4.442 | 4.263 | 4.097 | 3.942 | 3.799 | 3.664 | 3.539 | 3.421 | 3.311 | 3.207 | 3.109 | 3.017 | 2.93 | 2.848 | 2.77 | 2.696 | 2.626 | 2.559 | 2.496 | 2.435 | 2.378 | 2.323 | 2.271 | 2.22 | 2.172 | 2.126 | 2.082 | 2.04 | 1.999 | 19 |
| 20 | 18.046 | 16.351 | 14.877 | 13.59 | 12.462 | 11.47 | 10.594 | 9.818 | 9.129 | 8.514 | 7.963 | 7.469 | 7.025 | 6.623 | 6.259 | 5.929 | 5.628 | 5.353 | 5.101 | 4.87 | 4.657 | 4.46 | 4.279 | 4.11 | 3.954 | 3.808 | 3.673 | 3.546 | 3.427 | 3.316 | 3.211 | 3.113 | 3.02 | 2.933 | 2.85 | 2.772 | 2.698 | 2.627 | 2.561 | 2.497 | 2.436 | 2.379 | 2.324 | 2.271 | 2.221 | 2.173 | 2.127 | 2.083 | 2.04 | 1.999 | 20 |
| 21 | 18.857 | 17.011 | 15.415 | 14.029 | 12.821 | 11.764 | 10.836 | 10.017 | 9.292 | 8.649 | 8.075 | 7.562 | 7.102 | 6.687 | 6.312 | 5.973 | 5.665 | 5.384 | 5.127 | 4.891 | 4.675 | 4.476 | 4.292 | 4.121 | 3.963 | 3.816 | 3.679 | 3.551 | 3.432 | 3.32 | 3.215 | 3.116 | 3.023 | 2.935 | 2.852 | 2.773 | 2.699 | 2.629 | 2.562 | 2.498 | 2.437 | 2.379 | 2.324 | 2.272 | 2.221 | 2.173 | 2.127 | 2.083 | 2.04 | 2 | 21 |
| 22 | 19.66 | 17.658 | 15.937 | 14.451 | 13.163 | 12.042 | 11.061 | 10.201 | 9.442 | 8.772 | 8.176 | 7.645 | 7.17 | 6.743 | 6.359 | 6.011 | 5.696 | 5.41 | 5.149 | 4.909 | 4.69 | 4.488 | 4.302 | 4.13 | 3.97 | 3.822 | 3.684 | 3.556 | 3.436 | 3.323 | 3.217 | 3.118 | 3.025 | 2.936 | 2.853 | 2.775 | 2.7 | 2.629 | 2.562 | 2.498 | 2.438 | 2.38 | 2.325 | 2.272 | 2.222 | 2.173 | 2.127 | 2.083 | 2.041 | 2 | 22 |
| 23 | 20.456 | 18.292 | 16.444 | 14.857 | 13.489 | 12.303 | 11.272 | 10.371 | 9.58 | 8.883 | 8.266 | 7.718 | 7.23 | 6.792 | 6.399 | 6.044 | 5.723 | 5.432 | 5.167 | 4.925 | 4.703 | 4.499 | 4.311 | 4.137 | 3.976 | 3.827 | 3.689 | 3.559 | 3.438 | 3.325 | 3.219 | 3.12 | 3.026 | 2.938 | 2.854 | 2.775 | 2.701 | 2.63 | 2.563 | 2.499 | 2.438 | 2.38 | 2.325 | 2.272 | 2.222 | 2.174 | 2.127 | 2.083 | 2.041 | 2 | 23 |
| 24 | 21.243 | 18.914 | 16.936 | 15.247 | 13.799 | 12.55 | 11.469 | 10.529 | 9.707 | 8.985 | 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 | 3.831 | 3.692 | 3.562 | 3.441 | 3.327 | 3.221 | 3.121 | 3.027 | ||||||||||||||||||