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PV factor at 1 percent

By Jude Wallis

At 1 percent, the present value of 1 for 5 periods is 0.9515. 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 1 percent, n down the side and interest rates across the top.
n1%
10.9901
20.9803
30.9706
40.9610
50.9515
60.9420
70.9327
80.9235
90.9143
100.9053
110.8963
120.8874
130.8787
140.8700
150.8613
160.8528
170.8444
180.8360
190.8277
200.8195
210.8114
220.8034
230.7954
240.7876
250.7798
260.7720
270.7644
280.7568
290.7493
300.7419
350.7059
400.6717
450.6391
500.6080

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 0.9515.
  2. Multiply: 1000 x 0.9515.

The factor is 0.9515. The product is 951.5.

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.