Mortgage Repayment Calculator
Estimate your monthly payments and total interest costs.
How to Use This Mortgage Calculator
Buying a home is one of the most significant financial decisions you will ever make. Our Mortgage Repayment Calculator helps you understand the long-term financial commitment by breaking down your monthly obligations. To get an accurate estimate, you need four key pieces of information: the total purchase price, your cash down payment, the annual interest rate offered by your lender, and the length of the loan (usually 15 or 30 years).
Understanding the Calculation
The core of this tool uses the standard amortization formula to determine your fixed monthly payment. The formula used is:
M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1 ]
- M: Total monthly payment.
- P: Principal loan amount (Home Price – Down Payment).
- i: Monthly interest rate (Annual Rate / 12 months).
- n: Number of months (Years x 12).
Real-World Example
Let's look at a realistic scenario for a first-time homebuyer:
- Home Price: $400,000
- Down Payment: $80,000 (20%)
- Interest Rate: 7.0%
- Loan Term: 30 Years
In this example, the loan principal is $320,000. Using the formula, the monthly principal and interest payment would be approximately $2,128.98. Over 30 years, the total interest paid would amount to $446,432.80, making the total cost of the loan $766,432.80.
Key Factors That Influence Your Payment
1. Down Payment: A larger down payment reduces your loan principal, which directly lowers your monthly payment and the total interest paid over time. If you put down less than 20%, you may also need to factor in Private Mortgage Insurance (PMI).
2. Credit Score: Lenders use your credit score to determine your interest rate. Even a 0.5% difference in your rate can save or cost you tens of thousands of dollars over the life of the loan.
3. Loan Term: A 15-year mortgage usually has a lower interest rate but higher monthly payments compared to a 30-year mortgage. However, you will pay significantly less in total interest with a shorter term.