Table 6 Present Value of an Annuity Due of $1
PVAD = ((1 − (1/(1 + i)n))/i) × (1 + 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 |
1.00000 |
1.00000 |
1.00000 |
1.00000 |
1.00000 |
1.00000 |
1.00000 |
1.00000 |
1.00000 |
1.00000 |
1.00000 |
1.00000 |
1.00000 |
1.00000 |
1.00000 |
1.00000 |
1.00000 |
1.00000 |
| 2 |
1.99010 |
1.98522 |
1.98039 |
1.97561 |
1.97087 |
1.96618 |
1.96154 |
1.95694 |
1.95238 |
1.94787 |
1.94340 |
1.93458 |
1.92593 |
1.91743 |
1.90909 |
1.90090 |
1.89286 |
1.83333 |
| 3 |
2.97040 |
2.95588 |
2.94156 |
2.92742 |
2.91347 |
2.89969 |
2.88609 |
2.87267 |
2.85941 |
2.84632 |
2.83339 |
2.80802 |
2.78326 |
2.75911 |
2.73554 |
2.71252 |
2.69005 |
2.52778 |
| 4 |
3.94099 |
3.91220 |
3.88388 |
3.85602 |
3.82861 |
3.80164 |
3.77509 |
3.74896 |
3.72325 |
3.69793 |
3.67301 |
3.62432 |
3.57710 |
3.53129 |
3.48685 |
3.44371 |
3.40183 |
3.10648 |
| 5 |
4.90197 |
4.85438 |
4.80773 |
4.76197 |
4.71710 |
4.67308 |
4.62990 |
4.58753 |
4.54595 |
4.50515 |
4.46511 |
4.38721 |
4.31213 |
4.23972 |
4.16987 |
4.10245 |
4.03735 |
3.58873 |
| 6 |
5.85343 |
5.78264 |
5.71346 |
5.64583 |
5.57971 |
5.51505 |
5.45182 |
5.38998 |
5.32948 |
5.27028 |
5.21236 |
5.10020 |
4.99271 |
4.88965 |
4.79079 |
4.69590 |
4.60478 |
3.99061 |
| 7 |
6.79548 |
6.69719 |
6.60143 |
6.50813 |
6.41719 |
6.32855 |
6.24214 |
6.15787 |
6.07569 |
5.99553 |
5.91732 |
5.76654 |
5.62288 |
5.48592 |
5.35526 |
5.23054 |
5.11141 |
4.32551 |
| 8 |
7.72819 |
7.59821 |
7.47199 |
7.34939 |
7.23028 |
7.11454 |
7.00205 |
6.89270 |
6.78637 |
6.68297 |
6.58238 |
6.38929 |
6 20637 |
6.03295 |
5.86842 |
5.71220 |
5.56376 |
4.60459 |
| 9 |
8.65168 |
8.48593 |
8.32548 |
8.17014 |
8.01969 |
7.87396 |
7.73274 |
7.59589 |
7.46321 |
7.33457 |
7.20979 |
6.97130 |
6.74664 |
6.53482 |
6.33493 |
6.14612 |
5.96764 |
4.83716 |
| 10 |
9.56602 |
9.36052 |
9.16224 |
8.97087 |
8.78611 |
8.60769 |
8.43533 |
8.26879 |
8.10782 |
7.95220 |
7.80169 |
7.51523 |
7.24689 |
6.99525 |
6.75902 |
6.53705 |
6.32825 |
5.03097 |
| 11 |
10.47130 |
10.22218 |
9.98259 |
9.75206 |
9.53020 |
9.31661 |
9.11090 |
8.91272 |
8.72173 |
8.53763 |
8.36009 |
8.02358 |
7.71008 |
7.41766 |
7.14457 |
6.88923 |
6.65022 |
5.19247 |
| 12 |
11.36763 |
11.07112 |
10.78685 |
10.51421 |
10.25262 |
10.00155 |
9.76048 |
9.52892 |
9.30641 |
9.09254 |
8.88687 |
8.49867 |
8.13896 |
7.80519 |
7.49506 |
7.20652 |
6.93770 |
5.32706 |
| 13 |
12.25508 |
11.90751 |
11.57534 |
11.25776 |
10.95400 |
10.66333 |
10.38507 |
10.11858 |
9.86325 |
9.61852 |
9.38384 |
8.94269 |
8.53608 |
8.16073 |
7.81369 |
7.49236 |
7.19437 |
5.43922 |
| 14 |
13.13374 |
12.73153 |
12.34837 |
11.98318 |
11.63496 |
11.30274 |
10.98565 |
10.68285 |
10.39357 |
10.11708 |
9.85268 |
9.35765 |
8.90378 |
8.48690 |
8.10336 |
7.74987 |
7.42355 |
5.53268 |
| 15 |
14.00370 |
13.54338 |
13.10625 |
12.69091 |
12.29607 |
11.92052 |
11.56312 |
11.22283 |
10.89864 |
10.58965 |
10.29498 |
9.74547 |
9.24424 |
8.78615 |
8.36669 |
7.98187 |
7.62817 |
5.61057 |
| 16 |
14.86505 |
14.34323 |
13.84926 |
13.38138 |
12.93794 |
12.51741 |
12.11839 |
11.73955 |
11.37966 |
11.03758 |
10.71225 |
10.10791 |
9.55948 |
9.06069 |
8.60608 |
8.19087 |
7.81086 |
5.67547 |
| 17 |
15.71787 |
15.13126 |
14.57771 |
14.05500 |
13.56110 |
13.09412 |
12.65230 |
12.23402 |
11.83777 |
11.46216 |
11.10590 |
10.44665 |
9.85137 |
9.31256 |
8.82371 |
8.37916 |
7.97399 |
5.72956 |
| 18 |
16.56225 |
15.90765 |
15.29187 |
14.71220 |
14.16612 |
13.65132 |
13.16567 |
12.70719 |
12.27407 |
11.86461 |
11.47726 |
10.76322 |
10.12164 |
9.54363 |
9.02155 |
8.54879 |
8.11963 |
5.77463 |
| 19 |
17.39827 |
16.67256 |
15.99203 |
15.35336 |
14.75351 |
14.18968 |
13.65930 |
13.15999 |
12.68959 |
12.24607 |
11.82760 |
11.05909 |
10.37189 |
9.75563 |
9.20141 |
8.70162 |
8.24967 |
5.81219 |
| 20 |
18.22601 |
17.42617 |
16.67846 |
15.97889 |
15.32380 |
14.70984 |
14.13394 |
13.59329 |
13.08532 |
12.60765 |
12.15812 |
11.33560 |
10.60360 |
9.95011 |
9.36492 |
8.83929 |
8.36578 |
5.84350 |
| 21 |
19.04555 |
18.16864 |
17.35143 |
16.58916 |
15.87747 |
15.21240 |
14.59033 |
14.00794 |
13.46221 |
12.95038 |
12.46992 |
11.59401 |
10.81815 |
10.12855 |
9.51356 |
8.96333 |
8.46944 |
5.86958 |
| 25 |
22.24339 |
21.03041 |
19.91393 |
18.88499 |
17.93554 |
17.05837 |
16.24696 |
15.49548 |
14.79864 |
14.15170 |
13.55036 |
12.46933 |
11.52876 |
10.70661 |
9.98474 |
9.34814 |
8.78432 |
5.93710 |
| 30 |
26.06579 |
24.37608 |
22.84438 |
21.45355 |
20.18845 |
19.03577 |
17.98371 |
17.02189 |
16.14107 |
15.33310 |
14.59072 |
13.27767 |
12.15841 |
11.19828 |
10.36961 |
9.65011 |
9.02181 |
5.97472 |
| 40 |
33.16303 |
30.36458 |
27.90259 |
25.73034 |
23.80822 |
22.10250 |
20.58448 |
19.22966 |
18.01704 |
16.92866 |
15.94907 |
14.26493 |
12.87858 |
11.72552 |
10.75696 |
9.93567 |
9.23303 |
5.99592 |