Home Back

Annuity Calculator Challenger

Annuity Payment Formula:

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

currency
decimal
months

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is the Annuity Payment Formula?

The annuity payment formula calculates the periodic payment amount for a loan or investment based on present value, interest rate, and number of periods. It's commonly used in finance for mortgage calculations, retirement planning, and loan amortization.

2. How Does the Calculator Work?

The calculator uses the annuity payment formula:

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

Where:

Explanation: The formula calculates the fixed payment amount required to pay off a loan or achieve a future value through regular payments at a specified interest rate.

3. Importance of Annuity Calculation

Details: Accurate annuity calculation is crucial for financial planning, loan management, retirement planning, and investment decisions. It helps individuals and businesses understand their payment obligations and plan their finances accordingly.

4. Using the Calculator

Tips: Enter present value in currency units, interest rate as a decimal (e.g., 0.05 for 5%), and number of periods in months. 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 formula calculates ordinary annuity payments.

Q2: Can this formula be used for monthly mortgage calculations?
A: Yes, this is the standard formula used for calculating fixed monthly mortgage payments.

Q3: How does interest rate affect the payment amount?
A: Higher interest rates result in higher payment amounts for the same principal and term, as more money goes toward interest.

Q4: What happens if the interest rate is zero?
A: When interest rate is zero, the payment simply becomes the principal divided by the number of periods.

Q5: Can this calculator handle different compounding periods?
A: This calculator uses the period interest rate, so you must convert annual rates to period rates based on your compounding frequency.

Annuity Calculator Challenger© - All Rights Reserved 2025