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Loan factor at 13 percent

By Jude Wallis

At 13 percent, the loan payment factor for 5 periods is 0.284315. 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 13 percent, n down the side and interest rates across the top.
n13%
11.130000
20.599484
30.423522
40.336194
50.284315
60.250153
70.226111
80.208387
90.194869
100.184290
110.175841
120.168986
130.163350
140.158667
150.154742
160.151426
170.148608
180.146201
190.144134
200.142354
210.140814
220.139479
230.138319
240.137308
250.136426
260.135655
270.134979
280.134387
290.133867
300.133411
350.131829
400.130986
450.130534
500.130289

Worked example

Using the 13 percent column, what factor sits at 5 periods, and what is 10,000 times that factor?

  1. Read down the 13 percent column to row 5, giving 0.284315.
  2. Multiply: 10000 x 0.284315.

The factor is 0.284315. The product is 2843.15.

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.