# Annuity from present value

## Input(s)

\(i \_e\): Effective Interest or Discount Rate (fraction)

\(\mathrm{t}\): Time (year)

\(P_{v}\): Annuity from Present Value (currency unit)

## Output(s)

\(A_{v}\): Annuity from Present Value (currency unit)

## Formula(s)

\[
A_{v}=P_{v} *\left(\frac{i_{e} *\left(\left(1+i_{e}\right)^{t}\right)}{\left(\left(1+i_{e}\right)^{t}\right)-1}\right)
\]

## Reference(s)

Mian, M. A. 2011. Project Economics and Decision Analysis Volume 1: Deterministic Models, Second Edition. Tulsa, Oklahoma: PennWell Corporation. Chapter 2, Page: 56.