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Uniform-cost life cycle cost (LCC) calculator

Life cycle cost is calculated as C0 + A × (1-(1+i)^(-n))/i − S/(1+i)^n. Use the stated system boundary and matching input units.

LCC=C0+A×[1−(1+i)−n]i−S(1+i)n\mathrm{LCC} = C_{0} + \frac{A \times \left[1 - \left(1 + i\right)^{-n}\right]}{i} - \frac{S}{\left(1 + i\right)^{n}}

Calculator

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

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$/year
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year
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Worked example

Given

  • C0C_{0} = 120,000 $
  • AA = 8,000 $/year
  • ii = 0.06 —
  • nn = 20 year
  • SS = 10,000 $
LCC=120,000+8000×[1−(1+0.06)−20]0.06−10,000(1+0.06)20≈208,641\mathrm{LCC} = 120{,}000 + \frac{8000 \times \left[1 - \left(1 + 0.06\right)^{-20}\right]}{0.06} - \frac{10{,}000}{\left(1 + 0.06\right)^{20}} \approx 208{,}641

Symbols and units

SymbolMeaningUnit
LCC\mathrm{LCC}life cycle cost$
C0C_{0}initial cost$
AAannual cost$/year
iidiscount rate—
nnstudy lifeyear
SSend salvage$

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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.