Payment Amount (PMT)

Annual Interest Rate (%)

Periods (Years)

Payment Frequency

Payment Timing

Results will appear here

Calculation Principles & Formulas

The Future Value of an Annuity (FV) is the total value of a series of equal periodic payments at a future point in time, including principal and compound interest. It distinguishes between "Ordinary Annuity" (payments at end of period) and "Annuity Due" (payments at beginning of period).

[Ordinary Annuity] FV = PMT × [((1 + r)^n - 1) / r] [Annuity Due] FV_due = FV_ordinary × (1 + r) Legend: PMT = Payment Amount per Period r = Interest Rate per Period (Annual Rate ÷ Frequency) n = Total Number of Periods (Years × Frequency)

Note: Annuity Due results in a higher future value than Ordinary Annuity because each payment is compounded for one additional period.

How to use

Enter the payment amount per period (PMT).
Enter the annual interest rate (%).
Enter the total number of periods (years).
Select the payment frequency (Annually/Semiannually/Quarterly/Monthly).
Select the payment timing (End of Period/Beginning of Period).
Click 'Calculate Future Value' to see the result and breakdown.

Tips

Ordinary Annuity (End of Period) is typically used for loan repayments or regular savings.
Annuity Due (Beginning of Period) is typically used for rent payments or some insurance premiums.
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