Payment Amount (PMT)

Annual Interest Rate (%)

Periods (Years)

Payment Timing

Results will appear here

How to Use

Enter the fixed periodic payment amount (PMT).
Input the annual interest rate and total periods (in years).
Select whether the payment is made at the end of the period (Ordinary Annuity) or the beginning (Annuity Due), then click calculate to get the Future and Present Values.

Tips

Ordinary annuities are common for loan repayments or year-end deposits, while annuities due are often used for rent or start-of-year investments.
Ensure your interest rate matches the period unit (assuming annual here).

Calculation Principles & Formulas

Annuity calculations involve finding the future value or present value of a series of equal payments. This tool supports both Ordinary Annuity (payments at end of period) and Annuity Due (payments at beginning of period).

[Ordinary Annuity (End of Period)] FV = P × [((1 + r)^n - 1) / r] PV = P × [(1 - (1 + r)^-n) / r] [Annuity Due (Beginning of Period)] FV_due = FV_ordinary × (1 + r) PV_due = PV_ordinary × (1 + r) Legend: P = Payment Amount r = Interest Rate (decimal) n = Number of Periods

Note: This calculator assumes the interest rate is an annual rate and compounding frequency matches the payment frequency (annual). For more complex compounding schedules (e.g., monthly), results may differ.