ClueLuma

Present cost of lease payments (PV) calculator

Discount regular lease payments and any specified final buyout to compare equivalent cost timing.

PV=A×[1−(1+i)−n]i+B(1+i)n\mathrm{PV} = \frac{A \times \left[1 - \left(1 + i\right)^{-n}\right]}{i} + \frac{B}{\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.

$/yr
fraction
year
$
$

Worked example

Given

  • AA = 18,000 $/yr
  • ii = 0.06 fraction
  • nn = 7 year
  • BB = 12,000 $
PV=18,000×[1−(1+0.06)−7]0.06+12,000(1+0.06)7≈108,464\mathrm{PV} = \frac{18{,}000 \times \left[1 - \left(1 + 0.06\right)^{-7}\right]}{0.06} + \frac{12{,}000}{\left(1 + 0.06\right)^{7}} \approx 108{,}464

Symbols and units

SymbolMeaningUnit
PV\mathrm{PV}present lease payment cost$
AAannual end-of-year lease payment$/yr
iiannual discount fractionfraction
nnlease yearsyear
BBoptional final buyout cost$

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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.