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Annuity PV at 5 percent

By Jude Wallis

At 5 percent, the present value of an annuity of 1 for 5 periods is 4.3295. 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 5 percent, n down the side and interest rates across the top.
n5%
10.9524
21.8594
32.7232
43.5460
54.3295
65.0757
75.7864
86.4632
97.1078
107.7217
118.3064
128.8633
139.3936
149.8986
1510.3797
1610.8378
1711.2741
1811.6896
1912.0853
2012.4622
2112.8212
2213.1630
2313.4886
2413.7986
2514.0939
2614.3752
2714.6430
2814.8981
2915.1411
3015.3725
3516.3742
4017.1591
4517.7741
5018.2559

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 4.3295.
  2. Multiply: 1000 x 4.3295.

The factor is 4.3295. The product is 4329.5.

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.