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Annuity PV at 1 percent

By Jude Wallis

At 1 percent, the present value of an annuity of 1 for 5 periods is 4.8534. 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 1 percent, n down the side and interest rates across the top.
n1%
10.9901
21.9704
32.9410
43.9020
54.8534
65.7955
76.7282
87.6517
98.5660
109.4713
1110.3676
1211.2551
1312.1337
1413.0037
1513.8651
1614.7179
1715.5623
1816.3983
1917.2260
2018.0456
2118.8570
2219.6604
2320.4558
2421.2434
2522.0232
2622.7952
2723.5596
2824.3164
2925.0658
3025.8077
3529.4086
4032.8347
4536.0945
5039.1961

Worked example

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

  1. Read down the 1 percent column to row 5, giving 4.8534.
  2. Multiply: 1000 x 4.8534.

The factor is 4.8534. The product is 4853.4.

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.