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Loan factor at 1 percent

By Jude Wallis

At 1 percent, the loan payment factor for 5 periods is 0.20604. 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 1 percent, n down the side and interest rates across the top.
n1%
11.010000
20.507512
30.340022
40.256281
50.206040
60.172548
70.148628
80.130690
90.116740
100.105582
110.096454
120.088849
130.082415
140.076901
150.072124
160.067945
170.064258
180.060982
190.058052
200.055415
210.053031
220.050864
230.048886
240.047073
250.045407
260.043869
270.042446
280.041124
290.039895
300.038748
350.034004
400.030456
450.027705
500.025513

Worked example

Using the 1 percent column, what factor sits at 5 periods, and what is 10,000 times that factor?

  1. Read down the 1 percent column to row 5, giving 0.20604.
  2. Multiply: 10000 x 0.20604.

The factor is 0.20604. The product is 2060.4.

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.