Table 4 Present Value of an Ordinary Annuity of $1
PVA = (1 - (1/(1 + i)n))/i
| n/i |
1.0% |
1.5% |
2.0% |
2.5% |
3.0% |
3.5% |
4.0% |
4.5% |
5.0% |
5.5% |
6.0% |
7.0% |
8.0% |
9.0% |
10.0% |
11.0% |
12.0% |
20.0% |
| 1 |
0.99010 |
0.98522 |
0.98039 |
0.97561 |
0.97087 |
0.96618 |
0.96154 |
0.95694 |
0.95238 |
0.94787 |
0.94340 |
0.93458 |
0.92593 |
0.91743 |
0.90909 |
0.90090 |
0.89286 |
0.83333 |
| 2 |
1.97040 |
1.95588 |
1.94156 |
1.92742 |
1.91347 |
1.89969 |
1.88609 |
1.87267 |
1.85941 |
1.84632 |
1.83339 |
1.80802 |
1.78326 |
1.75911 |
1.73554 |
1.71252 |
1.69005 |
1.52778 |
| 3 |
2.94099 |
2.91220 |
2.88388 |
2.85602 |
2.82861 |
2.80164 |
2.77509 |
2.74896 |
2.72325 |
2.69793 |
2.67301 |
2.62432 |
2.57710 |
2.53129 |
2.48685 |
2.44371 |
2.40183 |
2.10648 |
| 4 |
3.90197 |
3.85438 |
3.80773 |
3.76197 |
3.71710 |
3.67308 |
3.62990 |
3.58753 |
3.54595 |
3.50515 |
3.46511 |
3.38721 |
3.31213 |
3.23972 |
3.16987 |
3.10245 |
3.03735 |
2.58873 |
| 5 |
4.85343 |
4.78264 |
4.71346 |
4.64583 |
4.57971 |
4.51505 |
4.45182 |
4.38998 |
4.32948 |
4.27028 |
4.21236 |
4.10020 |
3.99271 |
3.88965 |
3.79079 |
3.69590 |
3.60478 |
2.99061 |
| 6 |
5.79548 |
5.69719 |
5.60143 |
5.50813 |
5.41719 |
5.32855 |
5.24214 |
5.15787 |
5.07569 |
4.99553 |
4.91732 |
4.76654 |
4.62288 |
4.48592 |
4.35526 |
4.23054 |
4.11141 |
3.32551 |
| 7 |
6.72819 |
6.59821 |
6.47199 |
6.34939 |
6.23028 |
6.11454 |
6.00205 |
5.89270 |
5.78637 |
5.68297 |
5.58238 |
5.38929 |
5.20637 |
5.03295 |
4.86842 |
4.71220 |
4.56376 |
3.60459 |
| 8 |
7.65168 |
7.48593 |
7 32548 |
7.17014 |
7.01969 |
6.87396 |
6.73274 |
6.59589 |
6.46321 |
6.33457 |
6.20979 |
5.97130 |
5.74664 |
5.53482 |
5.33493 |
5.14612 |
4.96764 |
3.83716 |
| 9 |
8.56602 |
8.36052 |
8.16224 |
7.97087 |
7.78611 |
7.60769 |
7.43533 |
7.26879 |
7.10782 |
6.95220 |
6.80169 |
6.51523 |
6.24689 |
5.99525 |
5.75902 |
5.53705 |
5.32825 |
4.03097 |
| 10 |
9.47130 |
9.22218 |
8.98259 |
8.75206 |
8.53020 |
8.31661 |
8.11090 |
7.91272 |
7.72173 |
7.53763 |
7.36009 |
7.02358 |
6.71008 |
6.41766 |
6.14457 |
5.88923 |
5.65022 |
4.19247 |
| 11 |
10.36763 |
10.07112 |
9.78685 |
9.51421 |
9.25262 |
9.00155 |
8.76048 |
8.52892 |
8.30641 |
8.09254 |
7.88687 |
7.49867 |
7.13896 |
6.80519 |
6.49506 |
6.20652 |
5.93770 |
4.32706 |
| 12 |
11.25508 |
10.90751 |
10.57534 |
10.25776 |
9.95400 |
9.66333 |
9.38507 |
9.11858 |
8.86325 |
8.61852 |
8.38384 |
7.94269 |
7.53608 |
7.16073 |
6.81369 |
6.49236 |
6.19437 |
4.43922 |
| 13 |
12.13374 |
11.73153 |
11.34837 |
10.98319 |
10.63496 |
10.30274 |
9.98565 |
9.68285 |
9.39357 |
9.11708 |
8.85268 |
8.35765 |
7.90378 |
7.48690 |
7.10336 |
6.74987 |
6.42355 |
4.53268 |
| 14 |
13.00370 |
12.54338 |
12.10625 |
11.69091 |
11.29607 |
10.92052 |
10.56312 |
10.22283 |
9.89864 |
9.58965 |
9.29498 |
8.74547 |
8.24424 |
7.78615 |
7.36669 |
6.98187 |
6.62817 |
4.61057 |
| 15 |
13.86505 |
13.34323 |
12.84926 |
12.38138 |
11.93794 |
11.51741 |
11.11839 |
10.73955 |
10.37966 |
10.03758 |
9.71225 |
9.10791 |
8.55948 |
8.06069 |
7.60608 |
7.19087 |
6.81086 |
4.67547 |
| 16 |
14.71787 |
14.13126 |
13.57771 |
13.05500 |
12.56110 |
12.09412 |
11.65230 |
11.23402 |
10.83777 |
10.46216 |
10.10590 |
9.44665 |
8.85137 |
8.31256 |
7.82371 |
7.37916 |
6.97399 |
4.72956 |
| 17 |
15.56225 |
14.90765 |
14.29187 |
13.71220 |
13.16612 |
12.65132 |
12.16567 |
11.70719 |
11.27407 |
10.86461 |
10.47726 |
9.76322 |
9.12164 |
8.54363 |
8.02155 |
7.54879 |
7.11963 |
4.77463 |
| 18 |
16.39827 |
15.67256 |
14.99203 |
14.35336 |
13.75351 |
13.18968 |
12.65930 |
12.15999 |
11.68959 |
11.24607 |
10.82760 |
10.05909 |
9.37189 |
8.75563 |
8.20141 |
7.70162 |
7.24967 |
4.81219 |
| 19 |
17.22601 |
16.42617 |
15.67846 |
14.97889 |
14.32380 |
13.70984 |
13.13394 |
12.59329 |
12.08532 |
11.60765 |
11.15812 |
10.33560 |
9.60360 |
8.95011 |
8.36492 |
7.83929 |
7.36578 |
4.84350 |
| 20 |
18.04555 |
17.16864 |
16.35143 |
15.58916 |
14.87747 |
14.21240 |
13.59033 |
13.00794 |
12.46221 |
11.95038 |
11.46992 |
10.59401 |
9.81815 |
9.12855 |
8.51356 |
7.96333 |
7.46944 |
4.86958 |
| 21 |
18.85698 |
17.90014 |
17.01121 |
16.18455 |
15.41502 |
14.69797 |
14.02916 |
13.40472 |
12.82115 |
12.27524 |
11.76408 |
10.83553 |
10.01680 |
9.29224 |
8.64869 |
8.07507 |
7.56200 |
4.89132 |
| 25 |
22.02316 |
20.71961 |
19 52346 |
18.42438 |
17.41315 |
16.48151 |
15.62208 |
14.82821 |
14.09394 |
13.41393 |
12.78336 |
11.65358 |
10.67478 |
9.82258 |
9.07704 |
8.42174 |
7.84314 |
4.94759 |
| 30 |
25.80771 |
24.01584 |
22.39646 |
20.93029 |
19.60044 |
18.39205 |
17.29203 |
16.28889 |
15.37245 |
14.53375 |
13.76483 |
12.40904 |
11.25778 |
10.27365 |
9.42691 |
8.69379 |
8.05518 |
4.97894 |
| 40 |
32.83469 |
29.91585 |
27.35548 |
25.10278 |
23.11477 |
21.35507 |
19.79277 |
18.40158 |
17.15909 |
16.04612 |
15.04630 |
13.33171 |
11.92461 |
10.75736 |
9.77905 |
8.95105 |
8.24378 |
4.99660 |