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Annuity PV at 12 percent

By Jude Wallis

At 12 percent, the present value of an annuity of 1 for 5 periods is 3.6048. 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 12 percent, n down the side and interest rates across the top.
n12%
10.8929
21.6901
32.4018
43.0373
53.6048
64.1114
74.5638
84.9676
95.3282
105.6502
115.9377
126.1944
136.4235
146.6282
156.8109
166.9740
177.1196
187.2497
197.3658
207.4694
217.5620
227.6446
237.7184
247.7843
257.8431
267.8957
277.9426
287.9844
298.0218
308.0552
358.1755
408.2438
458.2825
508.3045

Worked example

Using the 12 percent column, what factor sits at 5 periods, and what is 1,000 times that factor?

  1. Read down the 12 percent column to row 5, giving 3.6048.
  2. Multiply: 1000 x 3.6048.

The factor is 3.6048. The product is 3604.8.

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.