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Loan factor at 4 percent

By Jude Wallis

At 4 percent, the loan payment factor for 5 periods is 0.224627. 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 4 percent, n down the side and interest rates across the top.
n4%
11.040000
20.530196
30.360349
40.275490
50.224627
60.190762
70.166610
80.148528
90.134493
100.123291
110.114149
120.106552
130.100144
140.094669
150.089941
160.085820
170.082199
180.078993
190.076139
200.073582
210.071280
220.069199
230.067309
240.065587
250.064012
260.062567
270.061239
280.060013
290.058880
300.057830
350.053577
400.050523
450.048262
500.046550

Worked example

Using the 4 percent column, what factor sits at 5 periods, and what is 10,000 times that factor?

  1. Read down the 4 percent column to row 5, giving 0.224627.
  2. Multiply: 10000 x 0.224627.

The factor is 0.224627. The product is 2246.27.

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.