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Annuity FV at 3 percent

By Jude Wallis

At 3 percent, the future value of an annuity of 1 for 5 periods is 5.3091. 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 3 percent, n down the side and interest rates across the top.
n3%
11.0000
22.0300
33.0909
44.1836
55.3091
66.4684
77.6625
88.8923
910.1591
1011.4639
1112.8078
1214.1920
1315.6178
1417.0863
1518.5989
1620.1569
1721.7616
1823.4144
1925.1169
2026.8704
2128.6765
2230.5368
2332.4529
2434.4265
2536.4593
2638.5530
2740.7096
2842.9309
2945.2189
3047.5754
3560.4621
4075.4013
4592.7199
50112.7969

Worked example

Using the 3 percent column, what factor sits at 5 periods, and what is 1,000 times that factor?

  1. Read down the 3 percent column to row 5, giving 5.3091.
  2. Multiply: 1000 x 5.3091.

The factor is 5.3091. The product is 5309.1.

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.