Mortgage Calculator
A mortgage is usually the largest single financial commitment a household will make, so a small change in rate, term, or down payment can shift the lifetime cost by tens of thousands of dollars. This calculator gives you a realistic monthly payment estimate that includes principal, interest, property tax, and home insurance, so you can compare loan scenarios side-by-side before you talk to a lender, place an offer, or refinance an existing mortgage.
The principal amount you need to borrow (home price minus down payment).
The annual mortgage interest rate.
The mortgage term in years. Common terms are 15 and 30 years.
The estimated annual property tax (optional).
The estimated annual home insurance premium (optional).
Use this mortgage calculator to estimate the full monthly cost of owning a home, not just the loan repayment. Most online mortgage calculators only show principal and interest, which understates the real cost by anywhere from 15% to 30% once you factor in property taxes and homeowners insurance. This tool computes the standard amortized loan payment and then layers monthly tax and insurance on top, giving you the same PITI total (principal, interest, taxes, insurance) that a lender uses when evaluating affordability. The default values reflect a typical mid-priced U.S. home with a 30-year fixed-rate mortgage at current market rates, and you can change any input to model your own situation. The calculator works for purchase, refinance, and second-home scenarios, and it is equally useful for first-time buyers checking whether a home fits their budget and for current owners exploring whether a 15-year refinance would be worthwhile.
How It Works
Mortgage Payment Formula
M = P x [r(1+r)^n] / [(1+r)^n - 1]Monthly payment equals the loan principal multiplied by the monthly interest rate compounded over the full term, divided by the same compounded factor minus one.
M is the monthly principal and interest payment - this is the amount the lender uses when amortizing the loan.
P is the loan principal, the amount you actually borrow after the down payment is applied to the home price.
r is the monthly interest rate, calculated as the annual rate divided by 12. A 6% annual rate becomes 0.5% per month, or 0.005 in the formula.
n is the total number of monthly payments over the life of the loan: 360 for a 30-year mortgage, 180 for a 15-year mortgage.
The numerator r(1+r)^n captures how interest compounds across the entire term, and the denominator (1+r)^n - 1 normalizes that compounding into a level monthly payment.
Property tax and insurance are not part of this core formula; lenders typically collect them as escrow and add the monthly equivalent (annual amount divided by 12) to your principal-and-interest payment.
Important Notes:
- •This calculator uses the standard fully-amortized fixed-rate mortgage formula. The same formula is used by U.S. lenders for conventional, FHA, VA, and USDA loans, and it produces a level monthly payment that gradually shifts from mostly-interest to mostly-principal as the loan ages.
- •Property taxes are entered as an annual figure and divided by 12. Real-world property tax bills vary widely by state and by county - high-tax states like New Jersey and Illinois can run 2% or more of home value per year, while low-tax states like Hawaii and Alabama are often under 0.5%.
- •Home insurance is entered as an annual premium and divided by 12. Premiums depend heavily on location, dwelling cost, deductible, and coverage limits, and are usually higher in coastal and wildfire-prone areas. Get an actual quote before relying on a default estimate.
- •PMI (Private Mortgage Insurance) is not included in the calculation. Most conventional loans with less than 20% down require PMI, which typically costs 0.3% to 1.5% of the original loan amount per year and is added to the monthly payment until you reach 20% equity.
- •HOA dues, condo fees, flood insurance, mortgage life insurance, and special assessments are not included. If your prospective home has any of these, add them manually to the monthly payment to get a complete picture.
- •Closing costs are not part of the monthly payment but typically run 2% to 5% of the loan amount and are paid at closing. Plan for these separately when budgeting for a home purchase.
- •This tool assumes a fixed interest rate for the full term. Adjustable-rate mortgages (ARMs) start with a fixed introductory rate and then reset periodically, so the monthly payment shown here only applies during the introductory period for an ARM.
- •Total interest and total cost figures assume you make every scheduled payment on time and never pay extra principal. Making even one extra payment per year on a 30-year mortgage typically shaves 4-5 years off the loan and saves tens of thousands in interest.
Worked Example
A first-time buyer is purchasing a $375,000 home with a 20% down payment ($75,000), financing the remaining $300,000 with a 30-year fixed-rate mortgage at 6.5%. The county property tax bill is $3,600 per year and a homeowners insurance quote came in at $1,200 per year.
Inputs:
- loan Amount:300,000
- annual Interest Rate:6.5
- loan Term Years:30
- property Tax Annual:3,600
- insurance Annual:1,200
Result:
The monthly principal and interest payment is approximately $1,896.20. Adding $300 per month in property tax and $100 per month for insurance brings the total monthly housing payment (PITI) to approximately $2,296.20. Over the full 30-year term, the buyer will pay roughly $382,632 in interest on top of the original $300,000 borrowed, for a total mortgage repayment of about $682,632. If the same buyer chose a 15-year mortgage instead, the monthly principal and interest would rise to about $2,613, but total interest would drop to roughly $170,366 - a savings of more than $212,000 in interest at the cost of about $717 more per month.
Who Is This Calculator For?
- first-time home buyers
- current homeowners considering a refinance
- real estate agents helping clients
- anyone comparing 15-year vs 30-year mortgage scenarios
Frequently Asked Questions
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Guides & Comparisons
- How to Calculate Loan Payments
This guide explains the loan payment formula, how amortization works, and provides a step-by-step method for calculating monthly payments.
- Loan Calculator vs Mortgage Calculator
While both calculators help estimate monthly payments, they serve different purposes. Loan calculators work for unsecured personal loans, auto loans, and student loans. Mortgage calculators are designed for home loans with property-specific features like taxes and insurance.