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Annuity FV at 4 percent

By Jude Wallis

At 4 percent, the future value of an annuity of 1 for 5 periods is 5.4163. 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 4 percent, n down the side and interest rates across the top.
n4%
11.0000
22.0400
33.1216
44.2465
55.4163
66.6330
77.8983
89.2142
910.5828
1012.0061
1113.4864
1215.0258
1316.6268
1418.2919
1520.0236
1621.8245
1723.6975
1825.6454
1927.6712
2029.7781
2131.9692
2234.2480
2336.6179
2439.0826
2541.6459
2644.3117
2747.0842
2849.9676
2952.9663
3056.0849
3573.6522
4095.0255
45121.0294
50152.6671

Worked example

Using the 4 percent column, what factor sits at 5 periods, and what is 1,000 times that factor?

  1. Read down the 4 percent column to row 5, giving 5.4163.
  2. Multiply: 1000 x 5.4163.

The factor is 5.4163. The product is 5416.3.

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.