Mortgage Calculator
Estimate your monthly mortgage payment and see a full amortization breakdown.
Estimate your monthly mortgage payment and see a full amortization breakdown.
A mortgage is the largest financial commitment most people will ever make. The difference between a 6.5% rate and a 7.5% rate on a $400,000 loan is roughly $90,000 over the life of a 30-year mortgage — more than the cost of a luxury car, paid quietly in monthly increments most borrowers never notice. Understanding how to use a mortgage calculator properly is one of the highest-leverage financial skills you can develop.
This guide explains every input the calculator above accepts, walks through real-world scenarios with actual numbers, and explains the formulas behind the output so you can sanity-check what any lender quotes you. By the end, you should be able to look at a Loan Estimate from a bank and immediately spot whether the math is reasonable.
Home price is the agreed sale price, not the listing price and not the appraised value. If you negotiate a $500,000 home down to $475,000, the loan amount is calculated against $475,000. The appraisal matters separately — if the home appraises below your contract price, your lender will only finance against the appraised amount, leaving you to either renegotiate or bring more cash to closing.
Down payment is your upfront cash contribution. Twenty percent is the threshold most people target because it eliminates Private Mortgage Insurance (PMI). On a $400,000 home, a 20% down payment is $80,000 — a substantial sum, but the savings compound. PMI typically costs 0.5% to 1.5% of the loan amount annually, which adds $1,600 to $4,800 per year to your costs at this price point. That money buys you absolutely nothing — it protects the lender if you default — and it can take seven to ten years to legally cancel even after you reach 20% equity.
Loan term determines how many years you have to repay. A 30-year term has lower monthly payments but dramatically higher lifetime interest. A 15-year term costs roughly 50% more per month but cuts total interest by more than half. On a $400,000 loan at 7%, a 30-year mortgage costs $958,000 in total payments versus $647,000 for a 15-year mortgage — a $311,000 swing.
Interest rate is the lender's cost for letting you borrow. Rates are quoted as APR (annual percentage rate), but the calculator above and most amortization formulas convert this to a monthly periodic rate by dividing by 12. A 7.2% APR becomes a 0.6% monthly rate. This compounds across every payment, which is why even small APR differences move the total interest by tens of thousands of dollars.
Property taxes and insurance are usually paid through an escrow account managed by your lender. Your monthly mortgage payment is technically called PITI — Principal, Interest, Taxes, and Insurance. Property tax rates vary enormously by location, from under 0.5% in Hawaii to over 2.2% in New Jersey. On a $400,000 home, that's a difference of $6,800 per year, or $567 per month, in taxes alone. Always look up the actual millage rate for the specific property, not a state average.
The standard mortgage payment formula is M = P × [r(1+r)n] / [(1+r)n − 1], where M is the monthly payment, P is the principal (loan amount), r is the monthly interest rate (APR ÷ 12), and n is the total number of payments (years × 12). For a $320,000 loan at 7% over 30 years: r = 0.005833, n = 360. Plugging through, the monthly principal-and-interest payment is approximately $2,129.
Amortization works against you in the early years. On that same $320,000 loan, your first month's payment of $2,129 is split into roughly $1,867 of interest and only $262 of principal. It takes nearly 14 years before the principal portion of your payment exceeds the interest portion. This is why making extra principal payments early is so powerful — every dollar of extra principal in year one eliminates roughly four dollars of total payments over the life of the loan.
Run the affordability test before house hunting. Most lenders will approve you for substantially more than you should actually borrow. The traditional rule is that your housing payment (PITI) should not exceed 28% of your gross monthly income, and total debt payments should not exceed 36%. A more conservative rule, often called the 25% rule, caps housing at 25% of take-home pay — a meaningfully tighter constraint that leaves room for retirement savings, education funds, and life events.
Test the rate sensitivity. Run the calculator at the rate you've been quoted, then run it again at +0.5% and +1%. If a quarter-point increase in rate makes the payment unaffordable, you're stretching too thin. Rates can move noticeably between your pre-approval and your closing, especially if your closing is more than 60 days out.
Compare 15- vs 30-year scenarios. Many borrowers reflexively choose 30-year terms for the lower payment, but the calculator makes it easy to see the lifetime cost difference. If you can afford the higher payment, a 15-year mortgage typically gets you a rate 0.5% to 0.75% lower than a 30-year, on top of the dramatic interest savings from the shorter term.
Model the impact of extra principal. Adding even $200 per month in extra principal payments to a $320,000, 30-year mortgage at 7% pays it off roughly five years early and saves over $90,000 in interest. The calculator can show you exactly how this plays out for your specific loan.
PITI stands for Principal, Interest, Taxes, and Insurance — the four components of a typical monthly mortgage payment. Principal and interest go to your lender. Taxes and insurance are usually collected by the lender into an escrow account and paid on your behalf. When budgeting for a home, always think in PITI terms, not just principal and interest, because taxes and insurance can easily add 25% or more to the bare loan payment.
Private Mortgage Insurance protects the lender against default and is typically required when your down payment is less than 20%. PMI usually costs 0.5% to 1.5% of the loan amount per year, billed monthly. By federal law, PMI must be automatically canceled when your loan-to-value ratio reaches 78% based on the original property value. You can request earlier removal at 80% LTV, but the lender may require an appraisal at your expense.
One discount point costs 1% of the loan amount and typically reduces your rate by 0.25%. The breakeven calculation is simple: divide the cost of the points by the monthly savings to find how many months it takes to recoup. If you plan to stay in the home longer than the breakeven period, points make sense. For most borrowers, this is between 4 and 7 years.
The interest rate is what the lender charges on the principal balance. The APR includes the interest rate plus most loan fees expressed as an annualized percentage. APR is always equal to or higher than the interest rate. When comparing loan offers, APR is the more useful number because it captures the total cost of borrowing, including origination fees and certain closing costs.
Mathematically, the 15-year mortgage almost always wins — lower rate, half the term, far less total interest. Practically, the 30-year offers flexibility: you can choose to make 15-year-equivalent payments most months but drop back to the 30-year minimum during a rough quarter. Discipline matters; if you'll actually make the extra payments on a 30-year, that path is reasonable. If you won't, lock yourself into the 15.
This guide is for educational purposes only and is not financial, tax, or legal advice. Consult a licensed loan officer, financial advisor, or attorney for guidance specific to your situation.