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Loan factor at 6 percent

By Jude Wallis

At 6 percent, the loan payment factor for 5 periods is 0.237396. 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 6 percent, n down the side and interest rates across the top.
n6%
11.060000
20.545437
30.374110
40.288591
50.237396
60.203363
70.179135
80.161036
90.147022
100.135868
110.126793
120.119277
130.112960
140.107585
150.102963
160.098952
170.095445
180.092357
190.089621
200.087185
210.085005
220.083046
230.081278
240.079679
250.078227
260.076904
270.075697
280.074593
290.073580
300.072649
350.068974
400.066462
450.064700
500.063444

Worked example

Using the 6 percent column, what factor sits at 5 periods, and what is 10,000 times that factor?

  1. Read down the 6 percent column to row 5, giving 0.237396.
  2. Multiply: 10000 x 0.237396.

The factor is 0.237396. The product is 2373.96.

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.