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Loan factor at 7 percent

By Jude Wallis

At 7 percent, the loan payment factor for 5 periods is 0.243891. 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 7 percent, n down the side and interest rates across the top.
n7%
11.070000
20.553092
30.381052
40.295228
50.243891
60.209796
70.185553
80.167468
90.153486
100.142378
110.133357
120.125902
130.119651
140.114345
150.109795
160.105858
170.102425
180.099413
190.096753
200.094393
210.092289
220.090406
230.088714
240.087189
250.085811
260.084561
270.083426
280.082392
290.081449
300.080586
350.077234
400.075009
450.073500
500.072460

Worked example

Using the 7 percent column, what factor sits at 5 periods, and what is 10,000 times that factor?

  1. Read down the 7 percent column to row 5, giving 0.243891.
  2. Multiply: 10000 x 0.243891.

The factor is 0.243891. The product is 2438.91.

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.