Capital recovery factor

A capital recovery factor is the ratio of a constant annuity to the present value of receiving that annuity for a given length of time.

Using an interest rate i, the capital recovery factor is:

is the number of annuities received.

With an interest rate of i = 10%, and n = 10 years, the CRF = 0.163.

This means that a loan of $1,000 at 10% interest will be paid back with 10 annual payments of $163.

[2] Another reading that can be obtained is that the net present value of 10 annual payments of $163 at 10% discount rate is $1,000.

Wolfram|Alpha Capital Recovery Factor Calculator