What is the future value of an annuity?
The compounded value of a series of equal payments at a constant rate.
Future Value of Annuity Calculator
Project how regular payments grow when invested at a constant periodic rate.
Enter payment, rate, and periods
Ordinary annuity pays at period end; annuity due (beginning) multiplies by (1+r).
About this calculator
How to use Future Value of Annuity Calculator, plus the formulas and logic behind the results.
Tool description
The future value of an annuity compounds each payment to the horizon. Annuity-due payments earn one extra period of interest versus ordinary annuities.
How to use
- Enter the recurring payment amount.
- Enter the interest rate per period (match payment frequency).
- Enter the number of payments/periods.
- Choose end-of-period or beginning-of-period timing, then Calculate.
Formulas & reference
Ordinary FV = PMT × ((1+r)^n − 1) ÷ rAnnuity due FV = Ordinary FV × (1+r)If r = 0: FV = PMT × n
Annuity tips
- Monthly savings → use monthly r and n
- Beginning payments grow slightly more
- Does not add a separate initial lump sum
- Educational constant-rate model
Calculation logic
Rate percent is converted to a decimal per period. Ordinary FV uses the standard geometric series formula; beginning timing multiplies by (1+r). Zero rate uses a simple sum.
Keep rate and n on the same period basis (e.g. monthly rate with monthly payments).
Future Value of Annuity Calculator FAQ
Common questions about the calculation and how to interpret the estimate.
Ordinary vs annuity due?
Ordinary pays at period end; due pays at the beginning and earns extra interest.
What if the rate is zero?
Future value equals payment times number of periods.
Can I use an annual rate with monthly payments?
Convert the annual rate to a monthly rate and set n in months.
Does this include an opening balance?
No—only the payment stream. Add a separate FV of a lump sum if needed.
Are taxes included?
No. Results are pre-tax educational estimates.