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Annuity PV at 11 percent

By Jude Wallis

At 11 percent, the present value of an annuity of 1 for 5 periods is 3.6959. 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 11 percent, n down the side and interest rates across the top.
n11%
10.9009
21.7125
32.4437
43.1024
53.6959
64.2305
74.7122
85.1461
95.5370
105.8892
116.2065
126.4924
136.7499
146.9819
157.1909
167.3792
177.5488
187.7016
197.8393
207.9633
218.0751
228.1757
238.2664
248.3481
258.4217
268.4881
278.5478
288.6016
298.6501
308.6938
358.8552
408.9511
459.0079
509.0417

Worked example

Using the 11 percent column, what factor sits at 5 periods, and what is 1,000 times that factor?

  1. Read down the 11 percent column to row 5, giving 3.6959.
  2. Multiply: 1000 x 3.6959.

The factor is 3.6959. The product is 3695.9.

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.