ClueLuma

Lighting project rate of return calculator

Solve the present-value equality for i when annual savings are level.

Cinitial=Snet×[1−(1+i)−n]iC_{\text{initial}} = \frac{S_{\text{net}} \times \left[1 - \left(1 + i\right)^{-n}\right]}{i}

Calculator

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

$/yr
1/yr
yr
$

Worked example

Given

  • SnetS_{\text{net}} = 7,400 $/yr
  • ii = 0.09 1/yr
  • nn = 12 yr
Cinitial=7400×[1−(1+0.09)−12]0.09≈52,989C_{\text{initial}} = \frac{7400 \times \left[1 - \left(1 + 0.09\right)^{-12}\right]}{0.09} \approx 52{,}989

Symbols and units

SymbolMeaningUnit
CinitialC_{\text{initial}}incremental initial investment$
SnetS_{\text{net}}level annual incremental savings$/yr
iirate of return solved iteratively1/yr
nnproject lifeyr

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