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Annuity PV at 8 percent

By Jude Wallis

At 8 percent, the present value of an annuity of 1 for 5 periods is 3.9927. Multiply a cash amount by that factor. This column is independently recomputed.

The formula

PVIFA=1(1+r)nrPVIFA = \frac{1 - (1 + r)^{-n}}{r}

Multiply a level payment by the factor to value the whole stream today.

Present value of an annuity of 1 at 8 percent, n down the side and interest rates across the top.
n8%
10.9259
21.7833
32.5771
43.3121
53.9927
64.6229
75.2064
85.7466
96.2469
106.7101
117.1390
127.5361
137.9038
148.2442
158.5595
168.8514
179.1216
189.3719
199.6036
209.8181
2110.0168
2210.2007
2310.3711
2410.5288
2510.6748
2610.8100
2710.9352
2811.0511
2911.1584
3011.2578
3511.6546
4011.9246
4512.1084
5012.2335

Worked example

Using the 8 percent column, what factor sits at 5 periods, and what is 1,000 times that factor?

  1. Read down the 8 percent column to row 5, giving 3.9927.
  2. Multiply: 1000 x 3.9927.

The factor is 3.9927. The product is 3992.7.

How these figures were checked

Every factor on this page is recomputed before the site can build, by a separate program that works a different way: repeated multiplication instead of a power function, a period-by-period sum instead of a closed-form annuity factor, and a solved loan schedule instead of a payment formula. If the two methods disagree anywhere, the page does not ship. Printed factor tables carry typos because nobody can check three thousand numbers by hand; this one is checked on every build.

Keep reading

This page is educational material, not financial advice. The figures come from the formula shown and assume the inputs you enter hold for the whole term. Your own rate, fees, taxes and timing will differ, so treat the output as arithmetic to check a decision against, not as a recommendation.