# Capital recovery factor

${\displaystyle CRF={\frac {i(1+i)^{n}}{(1+i)^{n}-1}}}$
where ${\displaystyle n}$ is the number of annuities received.[1]
If ${\displaystyle n=1}$, the ${\displaystyle CRF}$ reduces to ${\displaystyle 1+i}$. As ${\displaystyle n\to \infty }$, the ${\displaystyle CRF\to i}$.