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Annuity FV at 5 percent

By Jude Wallis

At 5 percent, the future value of an annuity of 1 for 5 periods is 5.5256. 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 5 percent, n down the side and interest rates across the top.
n5%
11.0000
22.0500
33.1525
44.3101
55.5256
66.8019
78.1420
89.5491
911.0266
1012.5779
1114.2068
1215.9171
1317.7130
1419.5986
1521.5786
1623.6575
1725.8404
1828.1324
1930.5390
2033.0660
2135.7193
2238.5052
2341.4305
2444.5020
2547.7271
2651.1135
2754.6691
2858.4026
2962.3227
3066.4388
3590.3203
40120.7998
45159.7002
50209.3480

Worked example

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

  1. Read down the 5 percent column to row 5, giving 5.5256.
  2. Multiply: 1000 x 5.5256.

The factor is 5.5256. The product is 5525.6.

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.