Home Back

Monthly Payment Calculator

Monthly Payment Formula:

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

$
%
months

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is the Monthly Payment Calculator?

The Monthly Payment Calculator determines the fixed payment amount required to pay off a loan over a specified period, including both principal and interest components. It's commonly used for mortgages, car loans, and personal loans.

2. How Does the Calculator Work?

The calculator uses the standard loan payment formula:

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

Where:

Explanation: This formula calculates the fixed payment needed to fully amortize a loan over its term, accounting for compound interest.

3. Importance of Monthly Payment Calculation

Details: Accurate monthly payment calculation is essential for budgeting, loan comparison, financial planning, and ensuring affordability before committing to a loan.

4. Using the Calculator

Tips: Enter the principal amount in dollars, monthly interest rate as a percentage (e.g., 0.5 for 0.5%), and the total number of payment periods in months. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: How do I convert annual interest rate to monthly?
A: Divide the annual rate by 12. For example, 6% annual becomes 0.5% monthly (6 ÷ 12 = 0.5).

Q2: What if the interest rate is 0%?
A: The formula simplifies to principal divided by number of payments: PMT = P ÷ n.

Q3: Does this include taxes and insurance?
A: No, this calculates only principal and interest. Additional costs like property taxes or insurance must be added separately.

Q4: Can I use this for different payment frequencies?
A: Adjust the interest rate and number of periods accordingly. For weekly payments, use weekly rate and weekly periods.

Q5: How accurate is this calculation?
A: This provides the theoretical payment amount. Actual payments may vary slightly due to rounding methods used by lenders.

Monthly Payment Calculator© - All Rights Reserved 2025