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Annuity PV at 7 percent

By Jude Wallis

At 7 percent, the present value of an annuity of 1 for 5 periods is 4.1002. 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 7 percent, n down the side and interest rates across the top.
n7%
10.9346
21.8080
32.6243
43.3872
54.1002
64.7665
75.3893
85.9713
96.5152
107.0236
117.4987
127.9427
138.3577
148.7455
159.1079
169.4466
179.7632
1810.0591
1910.3356
2010.5940
2110.8355
2211.0612
2311.2722
2411.4693
2511.6536
2611.8258
2711.9867
2812.1371
2912.2777
3012.4090
3512.9477
4013.3317
4513.6055
5013.8007

Worked example

Using the 7 percent column, what factor sits at 5 periods, and what is 1,000 times that factor?

  1. Read down the 7 percent column to row 5, giving 4.1002.
  2. Multiply: 1000 x 4.1002.

The factor is 4.1002. The product is 4100.2.

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.