How to Calculate Loan Rate of Interest

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Mortgage Payment Calculator

Estimate your monthly payments, including taxes, insurance, and HOA fees.

30 Years 20 Years 15 Years 10 Years

Total Monthly Payment

$0.00
Principal & Interest: $0.00
Property Tax (Monthly): $0.00
Home Insurance (Monthly): $0.00
HOA Fees (Monthly): $0.00
Loan Amount: $0.00
Total Interest Paid (Over Life of Loan): $0.00
Payoff Date:

How to Calculate Your Monthly Mortgage Payment

Understanding exactly how much house you can afford begins with calculating your monthly mortgage payment. While the sticker price of a home is important, the monthly cash flow requirement is what affects your daily budget. This calculator uses the standard amortization formula used by lenders to determine your Principal and Interest (P&I) payments.

The core formula used for the calculation is:

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

Where:

  • M = Total monthly P&I payment
  • P = The principal loan amount (Home Price minus Down Payment)
  • i = Monthly interest rate (Annual Rate divided by 12)
  • n = Number of payments over the loan's lifetime (Years multiplied by 12)

The Components of Your Payment (PITI)

Most mortgage payments consist of four parts, commonly referred to as PITI:

  • Principal: The money that goes directly towards paying down your loan balance. In the early years of a mortgage, this portion is small.
  • Interest: The cost of borrowing money. In the beginning of a 30-year term, the majority of your payment goes toward interest.
  • Taxes: Property taxes assessed by your local government. Lenders often collect this monthly and hold it in an escrow account to pay the bill annually.
  • Insurance: Homeowners insurance protects your property against damage. Like taxes, this is often escrowed.

Why Include HOA Fees?

If you are buying a condo or a home in a planned community, you will likely pay Homeowners Association (HOA) fees. While these are usually paid directly to the association and not the lender, they are a critical part of your Debt-to-Income (DTI) ratio and monthly affordability. Our calculator adds this to give you a true "out-of-pocket" monthly cost.

function calculateMortgage() { // Get Input Values 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 annualTax = parseFloat(document.getElementById("propertyTax").value); var annualIns = parseFloat(document.getElementById("homeInsurance").value); var monthlyHOA = parseFloat(document.getElementById("hoaFees").value); // Validation to prevent errors if (isNaN(homePrice) || homePrice <= 0) homePrice = 0; if (isNaN(downPayment) || downPayment < 0) downPayment = 0; if (isNaN(interestRate) || interestRate < 0) interestRate = 0; if (isNaN(annualTax) || annualTax < 0) annualTax = 0; if (isNaN(annualIns) || annualIns < 0) annualIns = 0; if (isNaN(monthlyHOA) || monthlyHOA < 0) monthlyHOA = 0; // Derived Variables var principal = homePrice – downPayment; // If principal is zero or less, handle gracefully if (principal <= 0) { document.getElementById("mcResults").style.display = "block"; document.getElementById("totalMonthlyDisplay").innerText = "$0.00"; return; } var monthlyRate = (interestRate / 100) / 12; var numberOfPayments = loanTermYears * 12; // Calculate Principal & Interest (P&I) var monthlyPI = 0; if (interestRate === 0) { monthlyPI = principal / numberOfPayments; } else { monthlyPI = principal * (monthlyRate * Math.pow(1 + monthlyRate, numberOfPayments)) / (Math.pow(1 + monthlyRate, numberOfPayments) – 1); } // Calculate Escrow Components var monthlyTax = annualTax / 12; var monthlyIns = annualIns / 12; // Total Monthly Payment var totalMonthlyPayment = monthlyPI + monthlyTax + monthlyIns + monthlyHOA; // Total Stats var totalPaymentOverLife = (monthlyPI * numberOfPayments); var totalInterest = totalPaymentOverLife – principal; // Calculate Payoff Date var today = new Date(); var payoffYear = today.getFullYear() + loanTermYears; var monthNames = ["Jan", "Feb", "Mar", "Apr", "May", "Jun", "Jul", "Aug", "Sep", "Oct", "Nov", "Dec"]; var payoffDateStr = monthNames[today.getMonth()] + " " + payoffYear; // Currency Formatter var formatter = new Intl.NumberFormat('en-US', { style: 'currency', currency: 'USD', minimumFractionDigits: 2 }); // Update UI document.getElementById("piDisplay").innerText = formatter.format(monthlyPI); document.getElementById("taxDisplay").innerText = formatter.format(monthlyTax); document.getElementById("insDisplay").innerText = formatter.format(monthlyIns); document.getElementById("hoaDisplay").innerText = formatter.format(monthlyHOA); document.getElementById("totalMonthlyDisplay").innerText = formatter.format(totalMonthlyPayment); document.getElementById("loanAmountDisplay").innerText = formatter.format(principal); document.getElementById("totalInterestDisplay").innerText = formatter.format(totalInterest); document.getElementById("payoffDateDisplay").innerText = payoffDateStr; // Show Results Container document.getElementById("mcResults").style.display = "block"; }

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