Table 6-4: Factors for Calculating the Present Value 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 |
0.961 |
0.9246 |
0.8900 |
0.8573 |
0.8264 |
0.7972 |
0.7695 |
0.7432 |
0.7182 |
0.6944 |
3 |
0.942 |
0.8890 |
0.8396 |
0.7938 |
0.7513 |
0.7118 |
0.6750 |
0.6407 |
0.6086 |
0.5787 |
4 |
0.924 |
0.8548 |
0.7921 |
0.7350 |
0.6830 |
0.6355 |
0.5921 |
0.5523 |
0.5158 |
0.4823 |
5 |
0.906 |
0.8219 |
0.7473 |
0.6806 |
0.6209 |
0.5674 |
0.5194 |
0.4761 |
0.4371 |
0.4019 |
6 |
0.888 |
0.7903 |
0.7050 |
0.6302 |
0.5645 |
0.5066 |
0.4556 |
0.4104 |
0.3704 |
0.3349 |
7 |
0.871 |
0.7599 |
0.6651 |
0.5835 |
0.5132 |
0.4523 |
0.3996 |
0.3538 |
0.3139 |
0.2791 |
8 |
0.853 |
0.7307 |
0.6274 |
0.5403 |
0.4665 |
0.4039 |
0.3506 |
0.3050 |
0.2660 |
0.2326 |
9 |
0.837 |
0.7026 |
0.5919 |
0.5002 |
0.4241 |
0.3606 |
0.3075 |
0.2630 |
0.2255 |
0.1938 |
10 |
0.820 |
0.6756 |
0.5584 |
0.4632 |
0.3855 |
0.3220 |
0.2697 |
0.2267 |
0.1911 |
0.1615 |
11 |
0.804 |
0.6496 |
0.5268 |
0.4289 |
0.3505 |
0.2875 |
0.2366 |
0.1954 |
0.1619 |
0.1346 |
12 |
0.788 |
0.6246 |
0.4970 |
0.3971 |
0.3186 |
0.2567 |
0.2076 |
0.1685 |
0.1372 |
0.1122 |
13 |
0.773 |
0.6006 |
0.4688 |
0.3677 |
0.2897 |
0.2292 |
0.1821 |
0.1452 |
0.1163 |
0.0935 |
14 |
0.758 |
0.5775 |
0.4423 |
0.3405 |
0.2633 |
0.2046 |
0.1597 |
0.1252 |
0.0985 |
0.0779 |
15 |
0.743 |
0.5553 |
0.4173 |
0.3152 |
0.2394 |
0.1827 |
0.1401 |
0.1079 |
0.0835 |
0.0649 |
16 |
0.728 |
0.5339 |
0.3936 |
0.2919 |
0.2176 |
0.1631 |
0.1229 |
0.0930 |
0.0708 |
0.0541 |
17 |
0.714 |
0.5134 |
0.3714 |
0.2703 |
0.1978 |
0.1456 |
0.1078 |
0.0802 |
0.0600 |
0.0451 |
18 |
0.700 |
0.4936 |
0.3503 |
0.2502 |
0.1799 |
0.1300 |
0.0946 |
0.0691 |
0.0508 |
0.0376 |
19 |
0.686 |
0.4746 |
0.3305 |
0.2317 |
0.1635 |
0.1161 |
0.0829 |
0.0596 |
0.0431 |
0.0313 |
20 |
0.673 |
0.4564 |
0.3118 |
0.2145 |
0.1486 |
0.1037 |
0.0728 |
0.0514 |
0.0365 |
0.0261 |
21 |
0.660 |
0.4388 |
0.2942 |
0.1987 |
0.1351 |
0.0926 |
0.0638 |
0.0443 |
0.0309 |
0.0217 |
22 |
0.647 |
0.4220 |
0.2775 |
0.1839 |
0.1228 |
0.0826 |
0.0560 |
0.0382 |
0.0262 |
0.0181 |
23 |
0.634 |
0.4057 |
0.2618 |
0.1703 |
0.1117 |
0.0738 |
0.0491 |
0.0329 |
0.0222 |
0.0151 |
24 |
0.622 |
0.3901 |
0.2470 |
0.1577 |
0.1015 |
0.0659 |
0.0431 |
0.0284 |
0.0188 |
0.0126 |
25 |
0.610 |
0.3751 |
0.2330 |
0.1460 |
0.0923 |
0.0588 |
0.0378 |
0.0245 |
0.0160 |
0.0105 |
30 |
0.552 |
0.3083 |
0.1741 |
0.0994 |
0.0573 |
0.0334 |
0.0196 |
0.0116 |
0.0070 |
0.0042 |
35 |
0.500 |
0.2534 |
0.1301 |
0.0676 |
0.0356 |
0.0189 |
0.0102 |
0.0055 |
0.0030 |
0.0017 |
40 |
0.453 |
0.2083 |
0.0972 |
0.0460 |
0.0221 |
0.0107 |
0.0053 |
0.0026 |
0.0013 |
0.0007 |
45 |
0.410 |
0.1712 |
0.0727 |
0.0313 |
0.0137 |
0.0061 |
0.0027 |
0.0013 |
0.0006 |
0.0003 |
50 |
0.372 |
0.1407 |
0.0543 |
0.0213 |
0.0085 |
0.0035 |
0.0014 |
0.0006 |
0.0003 |
0.0001 |