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PV factor at 2 percent

By Jude Wallis

At 2 percent, the present value of 1 for 5 periods is 0.9057. 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 2 percent, n down the side and interest rates across the top.
n2%
10.9804
20.9612
30.9423
40.9238
50.9057
60.8880
70.8706
80.8535
90.8368
100.8203
110.8043
120.7885
130.7730
140.7579
150.7430
160.7284
170.7142
180.7002
190.6864
200.6730
210.6598
220.6468
230.6342
240.6217
250.6095
260.5976
270.5859
280.5744
290.5631
300.5521
350.5000
400.4529
450.4102
500.3715

Worked example

Using the 2 percent column, what factor sits at 5 periods, and what is 1,000 times that factor?

  1. Read down the 2 percent column to row 5, giving 0.9057.
  2. Multiply: 1000 x 0.9057.

The factor is 0.9057. The product is 905.7.

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.