Home Back

Calculating Annuity Payments

Annuity Payment Formula:

\[ Payment = PV \times \frac{Rate}{1 - (1 + Rate)^{-n}} \]

$
decimal
periods

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is an Annuity Payment?

An annuity payment is a series of equal payments made at regular intervals. This calculator determines the fixed periodic payment required to pay off a present value (loan or investment) over a specified number of periods at a given interest rate.

2. How Does the Calculator Work?

The calculator uses the annuity payment formula:

\[ Payment = PV \times \frac{Rate}{1 - (1 + Rate)^{-n}} \]

Where:

Explanation: The formula calculates the fixed payment needed to fully amortize a loan or investment over time, accounting for both principal and interest.

3. Importance of Annuity Calculations

Details: These calculations are essential for loan amortization, retirement planning, lease agreements, and any financial scenario involving regular fixed payments.

4. Using the Calculator

Tips: Enter the present value in dollars, interest rate as a decimal (e.g., 0.05 for 5%), and number of payment periods. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between ordinary annuity and annuity due?
A: Ordinary annuity payments are made at the end of each period, while annuity due payments are made at the beginning. This calculator assumes ordinary annuity.

Q2: Can I use this for monthly loan payments?
A: Yes, just make sure the rate is the monthly rate (annual rate ÷ 12) and periods are in months.

Q3: What if I get an extremely high payment result?
A: Check that you entered the interest rate as a decimal (e.g., 0.05 not 5) and that periods is correct.

Q4: Does this account for variable interest rates?
A: No, this assumes a fixed interest rate for all periods.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise for the given inputs, assuming no fees or changing conditions.

Calculating Annuity Payments© - All Rights Reserved 2025