# Future value of a growing annuity

## Description

Future value is the value of an asset or cash at a specified date in the future, based on the value of that asset in the present.
Future value of an annuity is the future value of a stream of payments (annuity), assuming the payments are invested at a given rate of interest.

The future value of a growing annuity formula has five variables.

## Variables

FV_{gA} | Future value of the growing annuity (dimensionless) |

A | The value of the individual payments in each compounding period (dimensionless) |

i | The discount rate, or the interest rate at which the amount will be compounded each period (dimensionless) |

n | The number of periods (dimensionless) |

g | The growing rate of payments over each time period (dimensionless) |