Home Back

Advanced Loan Payment Calculator

Loan Payment Formula:

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

$
%
years

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is the Loan Payment Formula?

The loan payment formula calculates the fixed monthly payment required to fully amortize a loan over its term. It accounts for the principal amount, interest rate, and loan duration to determine periodic payments.

2. How Does the Calculator Work?

The calculator uses the standard loan payment formula:

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

Where:

Explanation: The formula accounts for compound interest over the life of the loan, ensuring each payment covers both principal and interest portions.

3. Importance of Loan Payment Calculation

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

4. Using the Calculator

Tips: Enter the principal amount in dollars, 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. Actual mortgage payments may include escrow for taxes and insurance.

Q2: How does loan term affect payments?
A: Longer terms reduce monthly payments but increase total interest paid. Shorter terms have higher payments but lower total cost.

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 use this for car loans or personal loans?
A: Yes, this formula works for any fixed-rate, fully amortizing loan including mortgages, auto loans, and personal loans.

Q5: How do extra payments affect my loan?
A: Extra payments reduce principal faster, saving interest and potentially shortening the loan term.

Advanced Loan Payment Calculator© - All Rights Reserved 2025