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Present value interest factor of an (ordinary) annuity of $1 per period at i% for n periods (PVIFAi,n)
(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