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Mortgage Calculator
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Monthly Mortgage Payment Calculator

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Please enter valid numeric values for all fields.
Loan Amount:
Total Interest Paid:
Total Cost of Loan:
Monthly Payment:

Understanding Your Mortgage Calculation

Before committing to a home purchase, it is crucial to understand exactly how your monthly payments are calculated. This Mortgage Calculator helps prospective homeowners estimate their monthly financial obligations by factoring in the home price, down payment, interest rate, and loan term.

How the Mortgage Formula Works

The calculation of your monthly mortgage payment generally follows the standard amortization formula used by lenders worldwide. The core formula determines the monthly Principal and Interest (P&I) payment required to fully pay off the loan by the end of the term.

The formula used is:

M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1 ]

Where:

  • M is the total monthly payment.
  • P is the principal loan amount (Home Price minus Down Payment).
  • i is the monthly interest rate (Annual Rate divided by 12).
  • n is the total number of payments (Loan Term in years multiplied by 12).

Example Calculation

Let's assume you want to buy a house worth $350,000. You have saved a down payment of $70,000 (20%), leaving a loan amount of $280,000.

If you secure a 30-year fixed-rate mortgage at an interest rate of 6.5%:

  • The principal (P) is $280,000.
  • The monthly interest rate (i) is 0.065 / 12 = 0.005416.
  • The number of payments (n) is 30 * 12 = 360.

Using the calculator above, this results in a monthly payment of approximately $1,769.79 (excluding taxes and insurance). Over the life of the loan, you would pay a total of $637,123, meaning the total interest cost is $357,123.

Why Down Payment Matters

The size of your down payment significantly impacts your monthly mortgage expenses. A larger down payment reduces the principal amount you need to borrow, which directly lowers both your monthly payment and the total interest paid over the life of the loan. Additionally, putting down less than 20% often triggers Private Mortgage Insurance (PMI), which is an extra cost not included in the standard P&I calculation above.

function calculateMortgage() { // Get input values using var var homePriceInput = document.getElementById("mcHomePrice").value; var downPaymentInput = document.getElementById("mcDownPayment").value; var interestRateInput = document.getElementById("mcInterestRate").value; var loanTermInput = document.getElementById("mcLoanTerm").value; var errorDiv = document.getElementById("mcError"); var resultDiv = document.getElementById("mcResult"); // Convert to numbers var homePrice = parseFloat(homePriceInput); var downPayment = parseFloat(downPaymentInput); var interestRate = parseFloat(interestRateInput); var loanTermYears = parseInt(loanTermInput); // Validation logic if (isNaN(homePrice) || isNaN(downPayment) || isNaN(interestRate) || isNaN(loanTermYears) || homePrice <= 0 || interestRate < 0) { errorDiv.style.display = "block"; resultDiv.style.display = "none"; return; } // Reset error errorDiv.style.display = "none"; // Calculate Loan Details var principal = homePrice – downPayment; // Handle edge case where principal is 0 or negative if (principal 0) { if (interestRate === 0) { monthlyPayment = principal / numberOfPayments; } else { // M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1 ] var x = Math.pow(1 + monthlyRate, numberOfPayments); monthlyPayment = (principal * x * monthlyRate) / (x – 1); } totalCost = monthlyPayment * numberOfPayments; totalInterest = totalCost – principal; } // Formatting currency var formatter = new Intl.NumberFormat('en-US', { style: 'currency', currency: 'USD', minimumFractionDigits: 2 }); // Update UI document.getElementById("resLoanAmount").innerText = formatter.format(principal); document.getElementById("resMonthlyPayment").innerText = formatter.format(monthlyPayment); document.getElementById("resTotalInterest").innerText = formatter.format(totalInterest); document.getElementById("resTotalCost").innerText = formatter.format(totalCost); // Show results resultDiv.style.display = "block"; }

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