Mortgage Calculator
How Monthly Mortgage Payments Are Calculated
Monthly mortgage payments use the standard amortization formula:
M = P × [r(1+r)ⁿ] ÷ [(1+r)ⁿ − 1]
Where: M = monthly payment, P = principal loan amount, r = monthly interest rate (annual rate ÷ 12), n = total number of payments (years × 12). For example: a $300,000 loan at 7% over 30 years → monthly payment ≈ $1,996.
What Is PITI?
PITI stands for Principal, Interest, Taxes, and Insurance — the four components of a complete monthly mortgage cost. Most lenders qualify borrowers based on total PITI relative to gross monthly income (typically PITI should not exceed 28–31% of gross income). Our calculator shows both your base P&I payment and your full PITI so you get a realistic, complete picture of what homeownership costs each month.
Understanding Your Mortgage Payment Breakdown
Each mortgage payment is split between principal (the amount reducing your loan balance) and interest (the cost of borrowing). Early in the loan, the vast majority of each payment goes toward interest. Over time, more shifts to principal — this gradual shift is defined by your amortization schedule.
On a 30-year mortgage, you might pay $200,000 in interest on top of a $200,000 principal — effectively purchasing your home twice over. This is why making extra principal payments in the early years can dramatically cut total interest paid and shorten your loan term.
Private Mortgage Insurance (PMI)
If your down payment is below 20% of the home's purchase price, most lenders require Private Mortgage Insurance (PMI). PMI protects the lender — not you — against default, and typically costs 0.5%–1.5% of the loan amount annually. On a $300,000 loan at 1%, that is $250/month added to your payment. PMI is generally cancelled automatically once your equity reaches 20%, though you may need to formally request its removal. Our calculator lets you set your exact PMI rate for precise estimates.
Fixed vs. Adjustable Rate Mortgages (ARM)
- Fixed-rate mortgage: The interest rate is locked for the entire loan term. Your payment is stable and predictable. Ideal when rates are low or when you plan to stay in the home long-term.
- Adjustable-rate mortgage (ARM): Starts with a lower fixed introductory rate (e.g., a 5/1 ARM is fixed for 5 years, then adjusts annually). Can save money in the short term but introduces payment uncertainty. Best if you plan to sell or refinance before the adjustment period begins.
15-Year vs. 30-Year Mortgage: Which Saves More?
A 15-year mortgage carries higher monthly payments but results in dramatically less total interest — often saving tens of thousands of dollars over the life of the loan. A 30-year mortgage lowers monthly payments and improves cash-flow flexibility, but costs far more in cumulative interest. Use this calculator to compare both scenarios with your actual numbers by switching the loan term dropdown.
Hidden Costs First-Time Buyers Often Miss
Beyond your PITI payment, budget for: closing costs (typically 2–5% of the loan amount), HOA fees where applicable, maintenance and repairs (plan for 1–2% of the home's value annually), utilities, and moving expenses. These costs can add hundreds of dollars per month beyond your mortgage payment and are essential to a realistic affordability assessment. Our calculator includes an HOA field to capture this cost.
How Your Credit Score Affects Your Mortgage Rate
Your credit score directly determines the interest rate you qualify for. Borrowers with scores above 760 typically receive the best available rates. Dropping from 760 to 680 can increase your rate by 0.5%–1.0% — which adds tens of thousands of dollars in total interest on a 30-year loan. Use the Rate Stress Test in our calculator to see exactly how a rate change affects your monthly payment before you apply.
How to Use
- 1Enter your loan detailsInput the home price, down payment amount (a live percentage badge shows your LTV instantly), annual interest rate, and loan term. Switch between 10, 15, 20, and 30-year terms to compare total costs.
- 2Add optional monthly costsEnter your annual property tax, homeowners insurance, monthly HOA fee, and adjust the PMI rate if you know your lender's exact figure. These populate a full PITI breakdown so there are no surprise costs.
- 3Review your full payment pictureSee your P&I payment, total PITI, loan amount, total interest, total loan cost, and estimated payoff date — all updating in real time. Check the Rate Stress Test to see how a +1% or +2% rate increase would affect your monthly cost, then expand the Amortization Schedule for a year-by-year breakdown.
Financial Disclaimer: Results are estimates only and should not be relied upon as financial or investment advice. Actual mortgage payments, rates, taxes, and insurance will vary based on your lender, location, and credit profile. Consult a licensed financial advisor or mortgage professional for guidance specific to your situation.