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Capital-recovery factor (CRF) calculator

This factor converts initial capital into an equivalent uniform annual cost over the selected life and required return.

CRF=i×(1+i)n(1+i)n−1\mathrm{CRF} = \frac{i \times \left(1 + i\right)^{n}}{\left(1 + i\right)^{n} - 1}

Calculator

Enter the values you know and leave one box empty. Calculate finds the empty one, the result or any input.

fraction
yr
1/yr

Worked example

Given

  • ii = 0.11 fraction
  • nn = 12 yr
CRF=0.11×(1+0.11)12(1+0.11)12−1≈0.154\mathrm{CRF} = \frac{0.11 \times \left(1 + 0.11\right)^{12}}{\left(1 + 0.11\right)^{12} - 1} \approx 0.154

Symbols and units

SymbolMeaningUnit
CRF\mathrm{CRF}A/P capital-recovery factor1/yr
iiannual required return as a fractionfraction
nnanalysis lifeyr

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Results are estimates for study and screening. Check the inputs, units and assumptions before you use them for design, billing or contract decisions.