Mortgage Calculator
Estimate your monthly mortgage payment, total interest, and view a full amortization schedule.
Quick Answer
A mortgage payment is calculated with M = P[r(1+r)^n]/[(1+r)^n-1], where P is the loan principal, r is the monthly interest rate, and n is the number of monthly payments. A 30-year $300,000 loan at 7% has a principal-and-interest payment of about $1,996.
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Monthly Payment (PITI)
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Total Interest
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Total Cost
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Amortization Schedule
| Month | Payment | Principal | Interest | Balance |
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How Mortgages Work
A mortgage is a secured loan used to buy real estate. The property you purchase serves as collateral, which means the lender can foreclose and sell the home if you stop making payments. When you take out a mortgage, the lender provides a lump sum to the seller at closing. You then repay that amount, plus interest, through monthly installments over a set period called the loan term.
Each monthly payment is divided between principal (the portion that reduces your outstanding loan balance) and interest (the cost of borrowing). In the early years of a mortgage, the majority of each payment goes toward interest. As the balance decreases, the interest portion shrinks and the principal portion grows. This gradual shift is called amortization, and it is why a 30-year mortgage generates so much total interest even though the monthly payment feels manageable.
Beyond principal and interest, most homeowners also pay property taxes and homeowner's insurance as part of their monthly housing cost. Lenders often collect these amounts each month and hold them in an escrow account, then pay the bills on your behalf when they come due. The four components together are known as PITI: Principal, Interest, Taxes, and Insurance. If your down payment is less than 20%, you will typically also pay private mortgage insurance (PMI), which protects the lender in case of default and adds another $50 to $200 or more to your monthly payment.
Mortgage Payment Formula
The monthly principal and interest payment on a fixed-rate mortgage is calculated using the standard amortization formula:
M = P × [r(1 + r)n] / [(1 + r)n − 1]
Where:
- M = monthly principal & interest payment
- P = principal loan amount (home price minus down payment)
- r = monthly interest rate (annual rate ÷ 12, expressed as a decimal)
- n = total number of monthly payments (loan term in years × 12)
Worked Example
Scenario: $375,000 home, 20% down payment, 6.25% interest rate, 30-year fixed
- Step 1: Down payment = $375,000 × 20% = $75,000
- Step 2: Loan amount P = $375,000 − $75,000 = $300,000
- Step 3: Monthly rate r = 6.25% ÷ 12 = 0.005208
- Step 4: Total payments n = 30 × 12 = 360
- Step 5: M = $300,000 × [0.005208 × (1.005208)360] / [(1.005208)360 − 1]
- Result: Monthly P&I payment = $1,847
- Total interest over 30 years = $364,813
- Total cost of the loan = $664,813
Add property tax (say $290/mo) and insurance ($120/mo) to get the full PITI payment of roughly $2,257 per month. The amortization schedule above this section shows the exact principal-interest split for every month of the loan.
Key Mortgage Terms Explained
- Principal: The original amount you borrow, equal to the home price minus your down payment. Your principal balance decreases with each monthly payment as you build equity in the home.
- Interest: The fee charged by the lender for the use of their money. On a fixed-rate mortgage, the interest rate stays the same for the entire loan term. On an adjustable-rate mortgage (ARM), the rate changes periodically after an initial fixed period.
- Escrow: An account managed by your lender or a third-party servicer that collects and disburses property tax and insurance payments on your behalf. Escrow ensures these bills are paid on time and protects the lender's collateral.
- Private Mortgage Insurance (PMI): Insurance required by most lenders when the down payment is less than 20%. PMI typically costs 0.3% to 1.5% of the loan amount per year. It can be removed once your equity reaches 20% of the home's value.
- APR vs. Interest Rate: The interest rate is the annual cost of borrowing without fees. The APR (Annual Percentage Rate) includes the interest rate plus origination fees, discount points, and other loan costs, giving a more complete picture of the true borrowing cost.
- Debt-to-Income Ratio (DTI): A measure lenders use to evaluate your ability to handle monthly payments. Your DTI is calculated by dividing your total monthly debt payments by your gross monthly income. Most lenders prefer a DTI of 43% or lower for mortgage approval.
- Loan-to-Value Ratio (LTV): The ratio of your loan amount to the appraised value of the home. An LTV above 80% usually requires PMI. A lower LTV signals less risk to the lender and can help you secure better rates.
- Discount Points: Upfront fees paid at closing to reduce the interest rate. One point equals 1% of the loan amount and typically lowers the rate by about 0.25%. Points make sense if you plan to keep the mortgage long enough to recoup the upfront cost through monthly savings.
- Closing Costs: Fees and expenses due at closing beyond the down payment. These typically run 2% to 5% of the loan amount and include appraisal fees, title insurance, attorney fees, origination fees, and prepaid taxes and insurance.
15-Year vs. 30-Year Mortgage Comparison
The table below compares a 15-year and 30-year fixed-rate mortgage on a $300,000 loan amount. The 15-year uses a rate of 5.50% and the 30-year uses 6.25%, reflecting the typical rate advantage of shorter terms.
| 15-Year Fixed (5.50%) | 30-Year Fixed (6.25%) | |
|---|---|---|
| Monthly P&I Payment | $2,451 | $1,847 |
| Total Interest Paid | $141,108 | $364,813 |
| Total Cost (P + I) | $441,108 | $664,813 |
| Interest Savings | $223,705 saved with 15-year | |
The 15-year mortgage costs $604 more per month but saves over $223,000 in total interest. If you can afford the higher payment, the 15-year term builds equity faster and frees you from mortgage debt fifteen years sooner. If cash flow flexibility is more important, the 30-year term keeps payments manageable while you direct extra funds toward investments, retirement accounts, or an emergency fund.
Fixed-Rate vs. Adjustable-Rate (ARM) Mortgages
A fixed-rate mortgage locks in your interest rate for the entire loan term, providing predictable monthly payments. An adjustable-rate mortgage (ARM) offers a lower initial rate for a set period (commonly 5, 7, or 10 years), after which the rate adjusts periodically based on a market index plus a margin.
| Feature | Fixed-Rate Mortgage | Adjustable-Rate (ARM) |
|---|---|---|
| Interest Rate | Same for entire term | Fixed initially, then adjusts (e.g., every 6 or 12 months) |
| Initial Rate | Higher than ARM intro rate | Lower (typically 0.5% to 1.0% less) |
| Payment Predictability | Fully predictable | Uncertain after initial period |
| Best For | Staying long-term, budgeting stability | Selling or refinancing within 5-7 years |
| Risk Level | Low — no rate surprises | Higher — payments can rise significantly |
ARMs typically have rate caps that limit how much the rate can increase per adjustment period (often 2%) and over the life of the loan (often 5% to 6% above the initial rate). Even with caps, a 5/1 ARM starting at 5.50% could rise to 10.50% or higher in a worst-case scenario, dramatically increasing your monthly payment. Choose a fixed-rate mortgage if you plan to stay in the home long-term and value payment certainty. Consider an ARM only if you are confident you will sell or refinance before the adjustable period begins.
Practical Mortgage Examples
Scenario 1: First-Time Buyer — $250,000 Home
A first-time buyer purchases a $250,000 home with 10% down ($25,000), borrowing $225,000 at 6.50% for 30 years. The monthly principal and interest payment is approximately $1,422. Because the down payment is under 20%, PMI adds roughly $100/month. With property taxes of $220/month and insurance of $95/month, the total PITI + PMI payment comes to about $1,837 per month. Total interest over 30 years: approximately $286,996.
Scenario 2: Move-Up Buyer — $450,000 Home
A move-up buyer sells their current home and puts 20% down ($90,000) on a $450,000 property, borrowing $360,000 at 6.25% for 30 years. The monthly P&I payment is approximately $2,217. No PMI is required. With taxes of $375/month and insurance of $150/month, the total monthly PITI is about $2,742. Total interest over 30 years: approximately $437,776.
Scenario 3: High-Value Purchase — $700,000 Home
A buyer puts 25% down ($175,000) on a $700,000 home, borrowing $525,000 at 6.00% for 30 years. The monthly P&I payment is approximately $3,148. With taxes of $580/month and insurance of $210/month, total PITI is about $3,938. Total interest: approximately $608,173. Alternatively, choosing a 15-year term at 5.25% raises the monthly P&I to $4,223 but cuts total interest to approximately $236,113, saving over $372,000.
How to Reduce Your Mortgage Cost
The total amount you pay on a mortgage is substantially more than the sticker price of the home. On a $300,000 loan at 6.25% for 30 years, you pay nearly $365,000 in interest alone. Here are proven strategies to reduce that cost:
- Make extra principal payments: Even an extra $100 per month on a $300,000 loan at 6.25% can shave roughly 5 years off the loan and save over $65,000 in interest. Specify that extra payments go toward principal, not future payments.
- Switch to biweekly payments: Instead of 12 monthly payments, make 26 half-payments per year. This effectively makes one extra full payment annually, reducing a 30-year mortgage by about 4 to 5 years.
- Refinance when rates drop: If market rates fall at least 0.75% to 1.0% below your current rate, refinancing can lower your monthly payment and total interest. Factor in closing costs (typically 2% to 3% of the loan balance) and calculate your break-even period before committing.
- Put more down upfront: A larger down payment reduces the loan balance, eliminates or reduces PMI, and can help you qualify for a better interest rate. Even increasing your down payment from 10% to 20% saves thousands over the loan's life.
- Improve your credit score: A borrower with a 760+ credit score can qualify for rates 0.5% to 1.0% lower than someone with a 680 score. On a $300,000 loan, that difference amounts to $30,000 to $65,000 in lifetime interest savings.
- Choose a shorter term: If your budget allows, a 15-year or 20-year mortgage dramatically reduces total interest. You build equity faster and own the home outright years sooner.
Current Mortgage Rate Environment (2026)
As of early 2026, 30-year fixed mortgage rates remain above 6%, hovering in the 6.25% to 6.75% range for well-qualified borrowers. Rates for 15-year fixed mortgages are roughly 0.50% to 0.75% lower. The Federal Reserve has signaled a cautious approach to rate cuts, with most economists projecting gradual reductions through 2026 but not a return to the sub-4% rates seen during 2020-2021.
For buyers, this means affordability remains stretched compared to the low-rate era, but the market has largely adjusted. Home prices in many regions have stabilized or seen modest growth. Locking in a rate now and refinancing later if rates decline is a common strategy. ARM products have regained popularity among buyers who plan to sell or refinance within five to seven years, as their initial rates can be 0.5% to 1.0% below fixed-rate options.
Regardless of the rate environment, the fundamentals remain the same: shop multiple lenders, compare APRs rather than just interest rates, get pre-approved before house hunting, and ensure your total housing cost stays within 28% to 33% of your gross monthly income.
Disclaimer: This calculator is for informational purposes only and does not constitute financial, tax, or legal advice. Always consult a qualified professional for decisions specific to your situation.