Please check your inputs. Home Price must be greater than Down Payment.
Understanding Your Mortgage Calculation
Purchasing a home is likely the largest financial decision you will make in your lifetime. Using a Mortgage Calculator is an essential step in the home buying process. It helps you estimate your monthly housing costs, ensuring that you choose a loan structure that fits your budget.
Components of Your Monthly Payment
Most borrowers focus on the interest rate, but your monthly check to the bank, often referred to as PITI, actually covers four main components:
Principal: The portion of your payment that reduces the loan balance.
Interest: The cost of borrowing money, paid to the lender.
Taxes: Property taxes assessed by your local government, often collected by the lender in an escrow account.
Insurance: Homeowners insurance to protect against damage, also usually collected in escrow.
How Interest Rates Impact Affordability
Even a small difference in interest rates can significantly affect your monthly payment and the total cost of the loan. For example, on a $300,000 loan, a 1% increase in interest rate can raise your monthly payment by hundreds of dollars and increase your total interest paid by over $60,000 over a 30-year term.
The Amortization Formula
Our calculator uses the standard amortization formula to determine your Principal and Interest (P&I) payment:
M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1]
Where M is the total monthly payment, P is the principal loan amount, i is your monthly interest rate, and n is the number of months required to repay the loan.
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"@context": "https://schema.org",
"@type": "FAQPage",
"mainEntity": [{
"@type": "Question",
"name": "What is included in a mortgage payment?",
"acceptedAnswer": {
"@type": "Answer",
"text": "A standard mortgage payment typically includes Principal, Interest, Property Taxes, and Homeowners Insurance. This is collectively known as PITI."
}
}, {
"@type": "Question",
"name": "How does the loan term affect my payments?",
"acceptedAnswer": {
"@type": "Answer",
"text": "A shorter loan term (e.g., 15 years) will have higher monthly payments but significantly lower total interest costs compared to a longer term (e.g., 30 years)."
}
}, {
"@type": "Question",
"name": "What is a down payment?",
"acceptedAnswer": {
"@type": "Answer",
"text": "A down payment is the initial upfront portion of the total home purchase price that you pay in cash. The remainder is covered by your mortgage loan."
}
}]
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function calculateMortgage() {
var homePrice = parseFloat(document.getElementById('homePrice').value);
var downPayment = parseFloat(document.getElementById('downPayment').value);
var interestRate = parseFloat(document.getElementById('interestRate').value);
var loanTermYears = parseInt(document.getElementById('loanTerm').value);
var propertyTaxYearly = parseFloat(document.getElementById('propertyTax').value);
var insuranceYearly = parseFloat(document.getElementById('insurance').value);
// Validation
if (isNaN(homePrice) || isNaN(downPayment) || isNaN(interestRate) || isNaN(loanTermYears)) {
alert("Please enter valid numbers for all fields.");
return;
}
if (downPayment >= homePrice) {
document.getElementById('errorMsg').style.display = 'block';
document.getElementById('resultBox').style.display = 'none';
return;
} else {
document.getElementById('errorMsg').style.display = 'none';
}
// Core Calculations
var principal = homePrice – downPayment;
var monthlyInterest = (interestRate / 100) / 12;
var numberOfPayments = loanTermYears * 12;
// Amortization Formula: M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1]
var x = Math.pow(1 + monthlyInterest, numberOfPayments);
var monthlyPrincipalInterest = (principal * x * monthlyInterest) / (x – 1);
// Edge case for 0% interest
if (interestRate === 0) {
monthlyPrincipalInterest = principal / numberOfPayments;
}
// Monthly Tax and Insurance
var monthlyTax = propertyTaxYearly / 12;
var monthlyInsurance = insuranceYearly / 12;
var totalMonthlyPayment = monthlyPrincipalInterest + monthlyTax + monthlyInsurance;
var totalTotalCost = (monthlyPrincipalInterest * numberOfPayments);
var totalInterest = totalTotalCost – principal;
// Date Calculation
var today = new Date();
var payoffDate = new Date(today.setMonth(today.getMonth() + numberOfPayments));
var options = { month: 'long', year: 'numeric' };
var payoffDateString = payoffDate.toLocaleDateString('en-US', options);
// Formatting currency
var formatter = new Intl.NumberFormat('en-US', {
style: 'currency',
currency: 'USD',
});
// Update DOM
document.getElementById('totalMonthlyDisplay').innerText = formatter.format(totalMonthlyPayment);
document.getElementById('piDisplay').innerText = formatter.format(monthlyPrincipalInterest);
document.getElementById('taxDisplay').innerText = formatter.format(monthlyTax);
document.getElementById('insDisplay').innerText = formatter.format(monthlyInsurance);
document.getElementById('loanAmountDisplay').innerText = formatter.format(principal);
document.getElementById('totalInterestDisplay').innerText = formatter.format(totalInterest);
document.getElementById('payoffDateDisplay').innerText = payoffDateString;
// Show results
document.getElementById('resultBox').classList.add('visible');
document.getElementById('resultBox').style.display = 'block';
}