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)

$0

Principal & Interest $0 Property Tax $0 Insurance $0

Total Interest

$0

Total Cost

$0

Amortization Schedule

Month Payment Principal Interest Balance

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:

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

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:

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.

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