Wolfram Computation Meets Knowledge

Continuous Capital Recovery Factor

A continuous capital recovery factor is the ratio of a constant annuity to the present value of receiving that annuity for a given length of time compounded continuously.

The continuous capital recovery factor depends on the interest rate and the number of interest periods.

Formula

QuantityVariable["CRF", "Unitless"] == (-1 + E^QuantityVariable["i", "Unitless"])/(1 - E^(-(QuantityVariable["i", "Unitless"]*QuantityVariable["n", "Unitless"])))

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Continuous Capital Recovery Factor"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Continuous Capital Recovery Factor"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[
 ResourceObject[
  "Continuous Capital Recovery Factor"], {QuantityVariable[
   "CRF","Unitless"] -> 0.151247`, 
  QuantityVariable["i","Unitless"] -> Quantity[8, "Percent"]}]
Out[3]=

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