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PV factor at 13 percent

By Jude Wallis

At 13 percent, the present value of 1 for 5 periods is 0.5428. Multiply a cash amount by that factor. This column is independently recomputed.

The formula

PV factor=1(1+r)nPV\text{ factor} = \frac{1}{(1 + r)^{n}}

Multiply a single future amount by the factor to bring it back to today.

Present value of 1 at 13 percent, n down the side and interest rates across the top.
n13%
10.8850
20.7831
30.6931
40.6133
50.5428
60.4803
70.4251
80.3762
90.3329
100.2946
110.2607
120.2307
130.2042
140.1807
150.1599
160.1415
170.1252
180.1108
190.0981
200.0868
210.0768
220.0680
230.0601
240.0532
250.0471
260.0417
270.0369
280.0326
290.0289
300.0256
350.0139
400.0075
450.0041
500.0022

Worked example

Using the 13 percent column, what factor sits at 5 periods, and what is 1,000 times that factor?

  1. Read down the 13 percent column to row 5, giving 0.5428.
  2. Multiply: 1000 x 0.5428.

The factor is 0.5428. The product is 542.8.

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.