Future Value Calculators – Ordinary Annuity and Annuity Due

The future value of an annuity is the amount of money you end up with after a series of level payments, given a specified interest rate, at a specified date in the future. It is useful in financial applications, such as retirement planning, as it allows you to quickly determine how much money you need to invest each period to reach your retirement (or other savings) goal. Over long periods, it can also be used to approximate the value of an investment portfolio, provided level payments are maintained. There are two types of annuities, ordinary annuities, where payments are made at the end of the period, and annuities due, where payments are made at the start of the period. Using the calculators below, you can solve for any of the variables in either formula, and see how your savings accumulate each period in the chart at the bottom of the page.

### Future Value of an Ordinary Annuity

**Visualizing the Future Value of an Ordinary Annuity**

### Future Value of an Annuity Due

**Visualizing the Future Value of an Annuity Due**

Select the Future Value of an Annuity Calculator you want to use

## Ex. Unknown Future Value (FV)

To find the unknown future value of a Ordinary Annuity (or an Annuity Due), where the periodic payment (PP) is $100.00, the interest rate (i) is 10% and the number of periods (n) is 5, enter:

PP | = | 100 |

i | = | .1 |

n | = | 5 |

## Ex. Unknown Future Value (FV)

To find the unknown future value of a Ordinary Annuity (or an Annuity Due), where the periodic payment (PP) is $100.00, the interest rate (i) is 10% and the number of periods (n) is 5, enter:

PP | = | 100 |

i | = | .1 |

n | = | 5 |

## Ex. Unknown Periodic Payment (PP)

To find the unknown periodic payment for a Ordinary Annuity (or an Annuity Due), where the future value is $500.00, the interest rate (i) is 10% and the number of periods (n) is 5, enter:

FV | = | 100 |

i | = | .1 |

n | = | 5 |

## Ex. Unknown Periodic Payment (PP)

To find the unknown periodic payment for a Ordinary Annuity (or an Annuity Due), where the future value is $500.00, the interest rate (i) is 10% and the number of periods (n) is 5, enter:

FV | = | 100 |

i | = | .1 |

n | = | 5 |

# Calculate Periodic Payment – Ordinary Annuity (PP)

## Ex. Unknown Interest Rate (i)

To find the unknown interest rate (i) for a Ordinary Annuity (or an Annuity Due), where the future value (FV) is $500.00, the periodic payment is $100.00, and the time is 5, enter:

FV | = | 500 |

PP | = | 100 |

n | = | 5 |

## Ex. Unknown Interest Rate (i)

To find the unknown interest rate (i) for a Ordinary Annuity (or an Annuity Due), where the future value (FV) is $500.00, the periodic payment is $100.00, and the time is 5, enter:

FV | = | 500 |

PP | = | 100 |

n | = | 5 |

# Calculate Interest Rate – Ordinary Annuity (i)

## Ex. Unknown Number of Periods (n)

To find the unknown number of periods (n) for a Ordinary Annuity (or an Annuity Due), where the future value (FV) is $500.00, the periodic payment (PP) is $100.00 and the interest rate (i) is 10%, enter:

FV | = | 500 |

PP | = | 100 |

i | = | .1 |

## Ex. Unknown Number of Periods (n)

To find the unknown number of periods (n) for a Ordinary Annuity (or an Annuity Due), where the future value (FV) is $500.00, the periodic payment (PP) is $100.00 and the interest rate (i) is 10%, enter:

FV | = | 500 |

PP | = | 100 |

i | = | .1 |

# Calculate Number of Payments – Ordinary Annuity (n)

# Accumulations Table - Ordinary Annuity

Payment # | Period Starting Value | Contribution Amount (Periodic Payment) | Periodic Interest Earned | End of Period Value |
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# Balance Accumulation Graph - Ordinary Annuity

# Accumulations Table - Annuity Due

Payment # | Period Starting Value | Contribution Amount (Periodic Payment) | Periodic Interest Earned | End of Period Value |
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