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PV factor at 9 percent

By Jude Wallis

At 9 percent, the present value of 1 for 5 periods is 0.6499. 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 9 percent, n down the side and interest rates across the top.
n9%
10.9174
20.8417
30.7722
40.7084
50.6499
60.5963
70.5470
80.5019
90.4604
100.4224
110.3875
120.3555
130.3262
140.2992
150.2745
160.2519
170.2311
180.2120
190.1945
200.1784
210.1637
220.1502
230.1378
240.1264
250.1160
260.1064
270.0976
280.0895
290.0822
300.0754
350.0490
400.0318
450.0207
500.0134

Worked example

Using the 9 percent column, what factor sits at 5 periods, and what is 1,000 times that factor?

  1. Read down the 9 percent column to row 5, giving 0.6499.
  2. Multiply: 1000 x 0.6499.

The factor is 0.6499. The product is 649.9.

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.