How to use this calculator
- Enter the home price and your planned down payment, as a dollar amount or a percentage of the price.
- Choose a loan term and enter the interest rate quoted by your lender (the note rate, not the APR).
- Pick the month your first payment is due so the schedule and payoff date line up with the calendar.
- Open Advanced to add property tax, homeowners insurance, PMI, HOA dues, or extra payments toward principal.
- Review your monthly payment, charts, detailed breakdown, and amortization schedule — everything updates as you type. Use Share link to save or send the exact scenario.
How it's calculated
Principal and interest (P&I) use the standard fixed-rate amortization formula: M = L × r(1 + r)n ÷ [(1 + r)n − 1], where L is the loan amount (home price minus down payment), r is the annual rate divided by 12, and n is the number of monthly payments. At a 0% rate the payment is simply L ÷ n.
Each month, interest is the remaining balance times r; the rest of the P&I payment reduces the balance. Early payments are mostly interest because the balance is largest then. Calculations keep full precision month to month and round only the numbers you see, and the final payment is trimmed so the balance ends at exactly $0.
PITI adds one-twelfth of your annual property tax and homeowners insurance, plus monthly PMI and HOA dues, to P&I. These amounts don't reduce your loan balance.
PMI is included only when your loan is more than 80% of the home price. Following the Homeowners Protection Act, it's removed automatically when the balance is scheduled to reach 78% of the original price (based on the original schedule, even if you prepay), and no later than the month after the loan's midpoint.
Extra payments go entirely to principal: the monthly extra with every payment, the yearly extra with every 12th payment, and the one-time extra with payment 12. We compare the result with the same loan without extras to show interest saved and how much sooner you pay it off.
Assumptions
- The interest rate is fixed for the full term and interest accrues monthly.
- Property tax, insurance, and HOA dues stay constant; in reality they usually rise over time.
- PMI is a flat monthly amount and ends at its automatic termination date. Borrower-requested cancellation at 80% (possible with extra payments or appreciation) isn't modeled.
- Closing costs, points, adjustable rates, and FHA/VA/USDA mortgage insurance aren't included.
- Results are estimates for planning, not a loan offer. Your Loan Estimate from a lender shows your actual terms.
Frequently asked questions
How is a monthly mortgage payment calculated?
The principal and interest portion uses the amortization formula M = L × r(1+r)^n ÷ [(1+r)^n − 1], where L is the loan amount, r is the annual rate divided by 12, and n is the number of monthly payments. For example, a $200,000 loan at 6.5% for 30 years is $1,264.14 a month. Property tax, homeowners insurance, PMI, and HOA dues are then added to get your full monthly payment.
What is included in a mortgage payment (PITI)?
PITI stands for principal, interest, taxes, and insurance. Many lenders collect property taxes and homeowners insurance through an escrow account as part of your monthly payment. If your down payment is under 20%, private mortgage insurance (PMI) is usually added too, and HOA dues are often paid separately but belong in your housing budget.
When does PMI go away?
For most conventional loans on a primary residence closed on or after July 29, 1999, the Homeowners Protection Act requires your servicer to cancel PMI automatically when your balance is scheduled to reach 78% of the home's original value, as long as you're current on payments. You can ask to cancel it earlier, once the balance reaches 80%, if you meet the lender's requirements. PMI must also end the month after the loan's midpoint, such as after 15 years on a 30-year loan. FHA mortgage insurance follows different rules.
How much is PMI?
Freddie Mac estimates that borrowers typically pay about $30 to $70 per month for every $100,000 borrowed. Your actual premium depends mainly on your credit score, down payment, and loan type, and it appears on your Loan Estimate. Enter your quoted monthly PMI under Advanced to include it.
How do extra payments affect my mortgage?
Extra payments reduce principal directly, so every later month's interest is calculated on a smaller balance. That shortens the loan and cuts total interest. With the calculator's defaults, adding $200 a month to a $360,000 loan at 6.5% saves about $108,900 in interest and pays the loan off roughly six years sooner. Check that your servicer applies extra money to principal and that your loan has no prepayment penalty.
Is it better to make extra payments monthly or once a year?
The same total amount saves a little more when it's paid sooner, because the balance drops earlier and less interest builds up. Monthly extras usually beat a single annual lump sum of the same size, but the difference is small. Consistency matters more than timing, so pick the schedule you can keep up.
Why does most of my early payment go to interest?
Interest each month is the remaining balance times the monthly rate. At the start the balance is at its highest, so interest takes most of the fixed payment and little goes to principal. As the balance falls, the split gradually shifts toward principal. The Principal vs. interest chart and the amortization schedule show this month by month.
Should I choose a 15-year or 30-year mortgage?
A 15-year mortgage has a higher monthly payment but usually a lower rate and far less total interest. A 30-year mortgage keeps the payment lower and more flexible, and you can still prepay it. Compare both terms here and look at total interest and whether the higher payment fits comfortably in your budget.
Should I enter the interest rate or the APR?
Enter the interest rate (note rate). The APR also spreads lender fees and points over the life of the loan, so it's useful for comparing offers, but your monthly principal and interest payment is based on the interest rate.
Does this mortgage calculator include closing costs?
No. It covers the ongoing monthly payment and the cost of the loan over time. Closing costs, often a few percent of the loan amount, are paid once at closing and are listed on your Loan Estimate and Closing Disclosure.
Related calculators
Related guides
Key terms
Sources
- Consumer Financial Protection Bureau — When can I remove private mortgage insurance (PMI) from my loan?
- Homeowners Protection Act of 1998 — 12 U.S.C. § 4902 (termination of PMI)
- Freddie Mac — Breaking down PMI
- Freddie Mac — Primary Mortgage Market Survey (weekly average rates)
- Consumer Financial Protection Bureau — Loan Estimate explainer
- Consumer Financial Protection Bureau — Mortgage key terms
Disclaimer: This calculator provides estimates for educational purposes only and is not financial, tax, or legal advice or an offer of credit. Actual payments depend on your lender, loan terms, taxes, and insurance. Consult a qualified professional before making financial decisions.