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Annuity PV at 6 percent

By Jude Wallis

At 6 percent, the present value of an annuity of 1 for 5 periods is 4.2124. 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 6 percent, n down the side and interest rates across the top.
n6%
10.9434
21.8334
32.6730
43.4651
54.2124
64.9173
75.5824
86.2098
96.8017
107.3601
117.8869
128.3838
138.8527
149.2950
159.7122
1610.1059
1710.4773
1810.8276
1911.1581
2011.4699
2111.7641
2212.0416
2312.3034
2412.5504
2512.7834
2613.0032
2713.2105
2813.4062
2913.5907
3013.7648
3514.4982
4015.0463
4515.4558
5015.7619

Worked example

Using the 6 percent column, what factor sits at 5 periods, and what is 1,000 times that factor?

  1. Read down the 6 percent column to row 5, giving 4.2124.
  2. Multiply: 1000 x 4.2124.

The factor is 4.2124. The product is 4212.4.

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.