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Worked Examples
- 1.Calculate loan principal: $300,000 - $60,000 = $240,000
- 2.Monthly interest rate: 6.5% / 12 = 0.5417%
- 3.Number of payments: 30 x 12 = 360
- 4.Apply formula: M = $240,000 x [0.005417(1.005417)^360] / [(1.005417)^360 - 1]
- 5.Monthly Payment = $1,517.27
Monthly payment is $1,517.27. Total paid over 30 years: $546,217.20. Total interest: $306,217.20.
How to Calculate Your Monthly Mortgage Payment
Formula
Understanding your monthly mortgage payment before buying a home is one of the most important financial planning steps you can take. A mortgage is typically the largest financial obligation most people will ever have, and knowing exactly what you will owe each month helps you budget accurately, compare loan offers, and avoid overextending yourself financially. Our calculator takes into account the home price, down payment, interest rate, and loan term to give you a complete picture.
The mortgage payment formula uses the standard amortization calculation: M = P[r(1+r)^n]/[(1+r)^n - 1], where P is the loan principal (home price minus down payment), r is the monthly interest rate (annual rate divided by 12), and n is the total number of monthly payments (years times 12). For a $240,000 loan at 6.5% for 30 years, the monthly payment works out to approximately $1,517. Over the full 30-year term, you would pay about $546,100 in total, meaning $306,100 goes to interest alone.
Several factors significantly impact your monthly payment. A larger down payment reduces your loan principal and therefore your monthly payment. A lower interest rate — even a fraction of a percent — can save tens of thousands over the life of the loan. Shorter loan terms like 15 years have higher monthly payments but dramatically lower total interest costs. Use this calculator to compare different scenarios and find the mortgage structure that best fits your financial situation.
Keep in mind that your actual monthly housing cost may be higher than the calculated mortgage payment alone. Property taxes, homeowner's insurance, private mortgage insurance (PMI if your down payment is less than 20%), and HOA fees are common additional costs. However, this calculator gives you the core principal and interest payment that forms the foundation of your housing budget.
Common use cases:
- Home buying budget planning
- Comparing different mortgage offers
- Evaluating the impact of down payment size
- Assessing 15-year vs 30-year loan terms
Frequently Asked Questions
Sarah Chen
Financial Analyst, CFA
Sarah is a Chartered Financial Analyst with over 8 years of experience in investment management and financial modeling. She specializes in retirement planning and compound interest calculations.
Reviewed by Dr. David Park, Applied Mathematician, PhD Mathematics
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