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Mortgage Calculator

$
$
$
%
Monthly Payment
Total Interest
Total Cost
Payment # Principal Interest Total Interest Paid Remaining Balance

Note: Only yearly payments are shown for brevity.

About Mortgage Calculations

A mortgage calculator helps you estimate your monthly payment for a home loan. Your monthly payment typically includes:

  • Principal: The amount you borrow
  • Interest: The cost of borrowing money, expressed as a percentage rate
  • Property Taxes: Annual taxes assessed by local government (not included in basic calculation)
  • Homeowners Insurance: Coverage to protect your property (not included in basic calculation)
  • PMI (Private Mortgage Insurance): Required if down payment is less than 20% (not included in basic calculation)

Mortgage Formula:

The monthly payment (P) is calculated using the following formula:

P = L[c(1 + c)^n]/[(1 + c)^n - 1]

Where:

  • L = Loan amount
  • c = Monthly interest rate (annual rate divided by 12)
  • n = Total number of payments (years × 12)

Important Note

This calculator provides an estimate for informational purposes only. Actual loan terms, interest rates, and fees may vary. Consult with a mortgage professional for specific advice related to your situation.

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Amortization Calculator

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Understanding Mortgage Calculations

Mortgage calculations are fundamental to homeownership planning, providing prospective buyers with crucial information about the financial commitment of a home purchase. The monthly payment calculation, which forms the core of mortgage planning, incorporates the principal amount (the initial loan value), the interest rate, and the loan term (typically 15, 20, or 30 years). This payment typically includes principal and interest, though total housing costs often encompass additional expenses such as property taxes, homeowners insurance, and potentially private mortgage insurance (PMI) for loans with less than 20% down payment.

Interest rate structures significantly impact mortgage costs over time. Fixed-rate mortgages maintain the same interest rate throughout the loan term, providing payment stability and predictability. In contrast, adjustable-rate mortgages (ARMs) offer an initial fixed-rate period followed by periodic rate adjustments based on market indices. While ARMs often start with lower rates than fixed-rate options, they introduce uncertainty into long-term financial planning. The amortization schedule illustrates how each payment is distributed between principal and interest over time, with early payments primarily going toward interest and later payments predominantly reducing the principal balance.

Beyond the basic payment calculation, several factors can influence overall mortgage affordability. Points are upfront fees paid to secure lower interest rates, with each point typically costing 1% of the loan amount. Loan-to-value ratio (LTV), which compares the loan amount to the property's appraised value, affects interest rates and insurance requirements. Debt-to-income ratio (DTI), measuring monthly debt obligations against gross monthly income, helps lenders assess borrowers' ability to manage mortgage payments alongside existing financial commitments. Understanding these elements empowers prospective homeowners to make informed decisions about loan options, down payment sizes, and appropriate price ranges when shopping for properties.