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PV factor at 10 percent

By Jude Wallis

At 10 percent, the present value of 1 for 5 periods is 0.6209. 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 10 percent, n down the side and interest rates across the top.
n10%
10.9091
20.8264
30.7513
40.6830
50.6209
60.5645
70.5132
80.4665
90.4241
100.3855
110.3505
120.3186
130.2897
140.2633
150.2394
160.2176
170.1978
180.1799
190.1635
200.1486
210.1351
220.1228
230.1117
240.1015
250.0923
260.0839
270.0763
280.0693
290.0630
300.0573
350.0356
400.0221
450.0137
500.0085

Worked example

Using the 10 percent column, what factor sits at 5 periods, and what is 1,000 times that factor?

  1. Read down the 10 percent column to row 5, giving 0.6209.
  2. Multiply: 1000 x 0.6209.

The factor is 0.6209. The product is 620.9.

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.