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Annuity FV at 10 percent

By Jude Wallis

At 10 percent, the future value of an annuity of 1 for 5 periods is 6.1051. Multiply a cash amount by that factor. This column is independently recomputed.

The formula

FVIFA=(1+r)n1rFVIFA = \frac{(1 + r)^{n} - 1}{r}

Multiply a level payment by the factor to get what the stream is worth at the end.

Future value of an annuity of 1 at 10 percent, n down the side and interest rates across the top.
n10%
11.0000
22.1000
33.3100
44.6410
56.1051
67.7156
79.4872
811.4359
913.5795
1015.9374
1118.5312
1221.3843
1324.5227
1427.9750
1531.7725
1635.9497
1740.5447
1845.5992
1951.1591
2057.2750
2164.0025
2271.4027
2379.5430
2488.4973
2598.3471
26109.1818
27121.0999
28134.2099
29148.6309
30164.4940
35271.0244
40442.5926
45718.9048
501163.9085

Worked example

Using the 10 percent column, what factor sits at 5 periods, and what is 1,000 times that factor?

  1. Read down the 10 percent column to row 5, giving 6.1051.
  2. Multiply: 1000 x 6.1051.

The factor is 6.1051. The product is 6105.1.

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.