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