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PV factor at 8 percent

By Jude Wallis

At 8 percent, the present value of 1 for 5 periods is 0.6806. 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 8 percent, n down the side and interest rates across the top.
n8%
10.9259
20.8573
30.7938
40.7350
50.6806
60.6302
70.5835
80.5403
90.5002
100.4632
110.4289
120.3971
130.3677
140.3405
150.3152
160.2919
170.2703
180.2502
190.2317
200.2145
210.1987
220.1839
230.1703
240.1577
250.1460
260.1352
270.1252
280.1159
290.1073
300.0994
350.0676
400.0460
450.0313
500.0213

Worked example

Using the 8 percent column, what factor sits at 5 periods, and what is 1,000 times that factor?

  1. Read down the 8 percent column to row 5, giving 0.6806.
  2. Multiply: 1000 x 0.6806.

The factor is 0.6806. The product is 680.6.

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.