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Net annual worth (NAW) calculator

Express a signed present result as equal annual cash flows over the analysis horizon.

NAW=NPW×i×(1+i)n(1+i)n−1\mathrm{NAW} = \frac{\mathrm{NPW} \times i \times \left(1 + i\right)^{n}}{\left(1 + i\right)^{n} - 1}

Calculator

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

$
decimal
periods
$/year

Worked example

Given

  • NPW\mathrm{NPW} = 100 $
  • ii = 0.08 decimal
  • nn = 10 periods
NAW=100×0.08×(1+0.08)10(1+0.08)10−1≈14.903\mathrm{NAW} = \frac{100 \times 0.08 \times \left(1 + 0.08\right)^{10}}{\left(1 + 0.08\right)^{10} - 1} \approx 14.903

Symbols and units

SymbolMeaningUnit
NAW\mathrm{NAW}net equivalent annual worth$/year
NPW\mathrm{NPW}net present worth$
iidiscount rate per perioddecimal
nnnumber of periodsperiods

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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.