Future value of an annuity

Input(s)

$i_{e}$: Effective Interest or Discount Rate (fraction)

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

$A_{v}$: Annuity (currency unit)

Output(s)

$F_{v}$: Future Value of an Annuity (currency unit)

Formula(s)

$$ \mathrm{F}_{\mathrm{v}}=\mathrm{A}_{\mathrm{v}} * \frac{\left(\left(1+\mathrm{i}_{\mathrm{e}}\right)^{\mathrm{t}}\right)-1}{\mathrm{i}_{\mathrm{e}}} $$

Reference(s)

Mian, M. A. 2011. Project Economics and Decision Analysis Volume 1: Deterministic Models, Second Edition. Tulsa, Oklahoma: PennWell Corporation. Chapter 2, Page: 51.