Home Back

Monthly Payment Calculator

Monthly Payment Formula:

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

USD
%
years

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is the Monthly Payment Formula?

The monthly payment formula calculates the fixed payment amount required to fully repay a loan over its term, including both principal and interest. It's commonly used for mortgages, car loans, and other installment loans.

2. How Does the Calculator Work?

The calculator uses the monthly payment formula:

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

Where:

Explanation: The formula accounts for compound interest over the life of the loan, calculating a fixed payment that will pay off both principal and interest by the end of the term.

3. Importance of Payment Calculation

Details: Accurate payment calculation helps borrowers understand their financial commitments, compare loan offers, and budget effectively for major purchases.

4. Using the Calculator

Tips: Enter the principal amount in USD, annual interest rate as a percentage (e.g., 5.25), and loan term in years. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Does this include taxes and insurance?
A: No, this calculates only principal and interest. For mortgages, taxes and insurance would be additional.

Q2: How does payment change with different terms?
A: Shorter terms mean higher monthly payments but less total interest. Longer terms reduce monthly payments but increase total interest.

Q3: What's the difference between APR and interest rate?
A: APR includes fees and other loan costs, while the interest rate is just the cost of borrowing the principal.

Q4: Can I calculate payments for weekly or bi-weekly payments?
A: Yes, you would adjust the rate (divide annual rate by 52 or 26) and term (multiply years by 52 or 26) accordingly.

Q5: How accurate is this calculator?
A: It provides precise calculations for fixed-rate loans. For adjustable-rate or balloon payments, more complex calculations are needed.

Monthly Payment Calculator© - All Rights Reserved 2025