Mortgage Calculator
Calculate your monthly mortgage payment, total interest paid, and full amortization breakdown.
Enter your values and click Calculate
How It Works
The monthly mortgage payment is calculated using the standard fixed-rate amortization formula: M = P × [r(1+r)^n] ÷ [(1+r)^n − 1]. Here P is the loan principal (home price minus down payment), r is the monthly interest rate (annual rate ÷ 12), and n is the total number of monthly payments (loan term in years × 12). For a 30-year loan at 7.0%, r = 0.07 ÷ 12 = 0.005833 and n = 360. This formula produces a fixed amortizing payment — every monthly payment is the same dollar amount, but its composition changes over time. Early payments are mostly interest; later payments are mostly principal reduction. This gradual shift is called amortization. The total interest paid over the life of the loan is: Total Interest = (M × n) − P. On a 30-year mortgage this figure frequently exceeds the original loan amount, which surprises many borrowers. The calculator adds the optional annual property tax and homeowner's insurance to the monthly P&I to show your full PITI payment — the real number that affects your monthly cash flow. Down payment percentage is also calculated to help borrowers understand when they can avoid Private Mortgage Insurance (PMI), which lenders typically require when the down payment is below 20%.
Examples
Frequently Asked Questions
What is included in a mortgage payment?
Does a higher down payment always make sense?
What is the difference between 15-year and 30-year mortgages?
How does interest rate affect my payment?
Recommended Resources
- GuideMortgage Refinance Strategies
- ComparisonAPR vs. Interest Rate: What's the Real Cost?
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