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Loan factor at 9 percent

By Jude Wallis

At 9 percent, the loan payment factor for 5 periods is 0.257092. 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 9 percent, n down the side and interest rates across the top.
n9%
11.090000
20.568469
30.395055
40.308669
50.257092
60.222920
70.198691
80.180674
90.166799
100.155820
110.146947
120.139651
130.133567
140.128433
150.124059
160.120300
170.117046
180.114212
190.111730
200.109546
210.107617
220.105905
230.104382
240.103023
250.101806
260.100715
270.099735
280.098852
290.098056
300.097336
350.094636
400.092960
450.091902
500.091227

Worked example

Using the 9 percent column, what factor sits at 5 periods, and what is 10,000 times that factor?

  1. Read down the 9 percent column to row 5, giving 0.257092.
  2. Multiply: 10000 x 0.257092.

The factor is 0.257092. The product is 2570.92.

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.