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Uniform series P/A calculator

Discount equal end-of-period cash flows to one present equivalent.

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

$/period
decimal
periods
$

Worked example

Given

  • AA = 100 $/period
  • ii = 0.08 decimal
  • nn = 10 periods
P=100×[(1+0.08)10−1]0.08×(1+0.08)10≈671P = \frac{100 \times \left[\left(1 + 0.08\right)^{10} - 1\right]}{0.08 \times \left(1 + 0.08\right)^{10}} \approx 671

Symbols and units

SymbolMeaningUnit
PPpresent amount$
AAequal end-of-period amount$/period
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.