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A '''capital recovery factor''' is the ratio of a constant [[annuity (finance theory)|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:
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<math> CRF = \frac {i(1+i)^n}{(1+i)^n-1}</math>
 
where <math>n</math> is the number of annuities received.<ref>[http://faculty.engineering.ucdavis.edu/jenkins/CBC/Calculator/CalculatorBackground.pdf Calculator by Jenkins at University of California]</ref>
 
This is related to the [[annuity formula]], which gives the present value in terms of the annuity, the interest rate, and the number of annuities.
 
If <math> n = 1</math>, the <math>CRF</math> reduces to <math>1+i</math>. As <math>n \to \infty</math>, the <math>CRF \to i</math>.
==References==
<references/>
 
==External links==
[http://www.wolframalpha.com/entities/calculators/capital_recovery_factor_calculator/tq/pq/5l/ Wolfram|Alpha Capital Recovery Factor Calculator]
 
[[Category:Financial ratios]]

Latest revision as of 02:13, 2 December 2014

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