1. What is the Loan Payment Formula?

The loan payment formula calculates the fixed monthly payment required to fully repay a loan over its term, including both principal and interest. It's based on the time value of money concept.

2. How Does the Calculator Work?

The calculator uses the standard loan payment formula:

Where:

• \( P \) — Principal loan amount (USD)
• \( r \) — Monthly interest rate (annual rate ÷ 12)
• \( n \) — Total number of payments (term in years × 12)
• \( PMT \) — Monthly payment amount (USD)

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

3. Importance of Loan Payment Calculation

Details: Accurate payment calculation is essential for budgeting, comparing loan offers, and understanding the total cost of borrowing.

4. Using the Calculator

Tips: Enter the principal amount in USD, annual interest rate as a percentage, 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 extra payment affect the loan?
A: Extra payments reduce principal faster, decreasing total interest paid and potentially shortening the loan term.

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: How does loan term affect payments?
A: Shorter terms mean higher monthly payments but less total interest. Longer terms have lower payments but more total interest.

Q5: Can this be used for car loans or other financing?
A: Yes, this formula works for any fixed-rate installment loan (mortgages, car loans, personal loans, etc.).