Loan Payment (Amortization) Formula Calculator

This calculator is designed to help users calculate monthly loan payments based on the amortization formula. It's perfect for anyone looking to understand their loan structure and payment schedule.

Loan Calculator

Calculation Results

Monthly Payment $0.00

Data Source and Methodology

All calculations are based on the standard amortization formula. For more details, please refer to authoritative financial documents.

The Formula Explained

\( M = \frac{P \cdot r \cdot (1 + r)^n}{(1 + r)^n - 1} \)

Where \( M \) is the monthly payment, \( P \) is the principal loan amount, \( r \) is the monthly interest rate, and \( n \) is the number of payments.

Glossary of Terms

How It Works: A Step-by-Step Example

Consider a $10,000 loan with a 5% annual interest rate over 15 years. The monthly interest rate is 0.4167%. Using the formula, the monthly payment can be calculated as $79.08.

Frequently Asked Questions (FAQ)

What is loan amortization?

Loan amortization is the process of spreading out a loan into equal payments over its term.

How do I calculate the monthly payment?

Use the formula provided above, or use this calculator for an accurate computation.

What happens if I pay off my loan early?

Paying off a loan early can reduce the total interest paid over the life of the loan.

How is the interest calculated in each payment?

Each payment consists of both principal and interest, with the interest portion reducing over time.

Can the interest rate change over time?

This depends on the loan type; fixed-rate loans have constant rates, while variable-rate loans can change.

Tool developed by Ugo Candido. Content reviewed by the CalcDomain Expert Team. Last reviewed for accuracy on October 1, 2023.

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