Capital Recovery Factor Calculator

Enter the interest rate, number of periods, and present sum to find the periodic payment.

How to use

  1. Enter your values in the fields above.
  2. Press Calculate to see your result instantly.
  3. Use the Share button to copy a link to your result.

About this calculator

The capital recovery factor (CRF) converts a present lump sum into a series of equal periodic payments that fully repay that sum, including interest, over a set number of periods. It's calculated as CRF = i(1+i)^n / ((1+i)^n − 1), where i is the interest rate per period and n is the number of periods — the same formula that underlies standard loan amortization.

Multiplying the present sum by the CRF gives the level payment needed each period. This calculator computes both the factor and that payment from your interest rate, number of periods, and present sum. It's a core tool in engineering economics and capital budgeting, used to compare equipment purchases, evaluate lease-versus-buy decisions, or figure out what a loan or investment payback actually costs per period.

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