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Loan factor at 5 percent

By Jude Wallis

At 5 percent, the loan payment factor for 5 periods is 0.230975. 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 5 percent, n down the side and interest rates across the top.
n5%
11.050000
20.537805
30.367209
40.282012
50.230975
60.197017
70.172820
80.154722
90.140690
100.129505
110.120389
120.112825
130.106456
140.101024
150.096342
160.092270
170.088699
180.085546
190.082745
200.080243
210.077996
220.075971
230.074137
240.072471
250.070952
260.069564
270.068292
280.067123
290.066046
300.065051
350.061072
400.058278
450.056262
500.054777

Worked example

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

  1. Read down the 5 percent column to row 5, giving 0.230975.
  2. Multiply: 10000 x 0.230975.

The factor is 0.230975. The product is 2309.75.

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.