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Loan factor at 8 percent

By Jude Wallis

At 8 percent, the loan payment factor for 5 periods is 0.250456. 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 8 percent, n down the side and interest rates across the top.
n8%
11.080000
20.560769
30.388034
40.301921
50.250456
60.216315
70.192072
80.174015
90.160080
100.149029
110.140076
120.132695
130.126522
140.121297
150.116830
160.112977
170.109629
180.106702
190.104128
200.101852
210.099832
220.098032
230.096422
240.094978
250.093679
260.092507
270.091448
280.090489
290.089619
300.088827
350.085803
400.083860
450.082587
500.081743

Worked example

Using the 8 percent column, what factor sits at 5 periods, and what is 10,000 times that factor?

  1. Read down the 8 percent column to row 5, giving 0.250456.
  2. Multiply: 10000 x 0.250456.

The factor is 0.250456. The product is 2504.56.

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.