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:

$CRF={\frac {i(1+i)^{n}}{(1+i)^{n}-1}}$

where n is the number of annuities received. (Reference)

If n = 1, the CRF reduces to 1+i. As n goes to infinity, the CRF goes to i.