Skip to content

Loan factor at 10 percent

By Jude Wallis

At 10 percent, the loan payment factor for 5 periods is 0.263797. Multiply a cash amount by that factor. This column is independently recomputed.

The formula

CRF=r1(1+r)nCRF = \frac{r}{1 - (1 + r)^{-n}}

Multiply the amount borrowed by the factor to get the payment per period.

Loan payment factor at 10 percent, n down the side and interest rates across the top.
n10%
11.100000
20.576190
30.402115
40.315471
50.263797
60.229607
70.205405
80.187444
90.173641
100.162745
110.153963
120.146763
130.140779
140.135746
150.131474
160.127817
170.124664
180.121930
190.119547
200.117460
210.115624
220.114005
230.112572
240.111300
250.110168
260.109159
270.108258
280.107451
290.106728
300.106079
350.103690
400.102259
450.101391
500.100859

Worked example

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

  1. Read down the 10 percent column to row 5, giving 0.263797.
  2. Multiply: 10000 x 0.263797.

The factor is 0.263797. The product is 2637.97.

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.