Table 6-5: Factors for Calculating the Present Value of an Annuity of $1
Number of Periods |
Discount Rate |
2% |
4% |
6% |
8% |
10% |
12% |
14% |
16% |
18% |
20% |
1 |
0.980 |
0.9615 |
0.9434 |
0.9259 |
0.9091 |
0.8929 |
0.8772 |
0.8621 |
0.8475 |
0.8333 |
2 |
1.942 |
1.8861 |
1.8334 |
1.7833 |
1.7355 |
1.6901 |
1.6467 |
1.6052 |
1.5656 |
1.5278 |
3 |
2.884 |
2.7751 |
2.6730 |
2.5771 |
2.4869 |
2.4018 |
2.3216 |
2.2459 |
2.1743 |
2.1065 |
4 |
3.808 |
3.6299 |
3.4651 |
3.3121 |
3.1699 |
3.0373 |
2.9137 |
2.7982 |
2.6901 |
2.5887 |
5 |
4.713 |
4.4518 |
4.2124 |
3.9927 |
3.7908 |
3.6048 |
3.4331 |
3.2743 |
3.1272 |
2.9906 |
6 |
5.601 |
5.2421 |
4.9173 |
4.6229 |
4.3553 |
4.1114 |
3.8887 |
3.6847 |
3.4976 |
3.3255 |
7 |
6.472 |
6.0021 |
5.5824 |
5.2064 |
4.8684 |
4.5638 |
4.2883 |
4.0386 |
3.8115 |
3.6046 |
8 |
7.325 |
6.7327 |
6.2098 |
5.7466 |
5.3349 |
4.9676 |
4.6389 |
4.3436 |
4.0776 |
3.8372 |
9 |
8.162 |
7.4353 |
6.8017 |
6.2469 |
5.7590 |
5.3282 |
4.9464 |
4.6065 |
4.3030 |
4.0310 |
10 |
8.983 |
8.1109 |
7.3601 |
6.7101 |
6.1446 |
5.6502 |
5.2161 |
4.8332 |
4.4941 |
4.1925 |
11 |
9.787 |
8.7605 |
7.8869 |
7.1390 |
6.4951 |
5.9377 |
5.4527 |
5.0286 |
4.6560 |
4.3271 |
12 |
10.575 |
9.3851 |
8.3838 |
7.5361 |
6.8137 |
6.1944 |
5.6603 |
5.1971 |
4.7932 |
4.4392 |
13 |
11.348 |
9.9856 |
8.8527 |
7.9038 |
7.1034 |
6.4235 |
5.8424 |
5.3423 |
4.9095 |
4.5327 |
14 |
12.106 |
10.5631 |
9.2950 |
8.2442 |
7.3667 |
6.6282 |
6.0021 |
5.4675 |
5.0081 |
4.6106 |
15 |
12.849 |
11.1184 |
9.7122 |
8.5595 |
7.6061 |
6.8109 |
6.1422 |
5.5755 |
5.0916 |
4.6755 |
16 |
13.578 |
11.6523 |
10.1059 |
8.8514 |
7.8237 |
6.9740 |
6.2651 |
5.6685 |
5.1624 |
4.7296 |
17 |
14.292 |
12.1657 |
10.4773 |
9.1216 |
8.0216 |
7.1196 |
6.3729 |
5.7487 |
5.2223 |
4.7746 |
18 |
14.992 |
12.6593 |
10.8276 |
9.3719 |
8.2014 |
7.2497 |
6.4674 |
5.8178 |
5.2732 |
4.8122 |
19 |
15.678 |
13.1339 |
11.1581 |
9.6036 |
8.3649 |
7.3658 |
6.5504 |
5.8775 |
5.3162 |
4.8435 |
20 |
16.351 |
13.5903 |
11.4699 |
9.8181 |
8.5136 |
7.4694 |
6.6231 |
5.9288 |
5.3527 |
4.8696 |
21 |
17.011 |
14.0292 |
11.7641 |
10.0168 |
8.6487 |
7.5620 |
6.6870 |
5.9731 |
5.3837 |
4.8913 |
22 |
17.658 |
14.4511 |
12.0416 |
10.2007 |
8.7715 |
7.6446 |
6.7429 |
6.0113 |
5.4099 |
4.9094 |
23 |
18.292 |
14.8568 |
12.3034 |
10.3711 |
8.8832 |
7.7184 |
6.7921 |
6.0442 |
5.4321 |
4.9245 |
24 |
18.914 |
15.2470 |
12.5504 |
10.5288 |
8.9847 |
7.7843 |
6.8351 |
6.0726 |
5.4509 |
4.9371 |
25 |
19.523 |
15.6221 |
12.7834 |
10.6748 |
9.0770 |
7.8431 |
6.8729 |
6.0971 |
5.4669 |
4.9476 |
30 |
22.396 |
17.2920 |
13.7648 |
11.2578 |
9.4269 |
8.0552 |
7.0027 |
6.1772 |
5.5168 |
4.9789 |
35 |
24.999 |
18.6646 |
14.4982 |
11.6546 |
9.6442 |
8.1755 |
7.0700 |
6.2153 |
5.5386 |
4.9915 |
40 |
27.355 |
19.7928 |
15.0463 |
11.9246 |
9.7791 |
8.2438 |
7.1050 |
6.2335 |
5.5482 |
4.9966 |
45 |
29.490 |
20.7200 |
15.4558 |
12.1084 |
9.8628 |
8.2825 |
7.1232 |
6.2421 |
5.5523 |
4.9986 |
50 |
31.424 |
21.4822 |
15.7619 |
12.2335 |
9.9148 |
8.3045 |
7.1327 |
6.2463 |
5.5541 |
4.9995 |