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. This is known as the PMT (payment) formula for amortizing loans.

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)
• \( n \) — Number of monthly 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 helps borrowers understand their financial commitments, compare loan offers, and budget effectively for major purchases.

4. Using the Calculator

Tips: Enter the loan 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 principal and interest only. 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 borrowing cost. Always compare APRs when shopping for loans.

Q4: Can I pay extra to reduce the term?
A: Yes, additional principal payments reduce the loan balance faster and can shorten the term, saving interest.

Q5: How accurate is this calculator?
A: It provides precise calculations for fixed-rate loans. Adjustable-rate loans would require more complex calculations.