How to Calculate Long Term Interest Rate

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Mortgage Repayment Calculator

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Understanding Your Mortgage Repayments

Purchasing a home is one of the most significant financial decisions you will make. Using a Mortgage Repayment Calculator helps you understand the long-term financial commitment involved in taking out a home loan. By inputting your home price, down payment, interest rate, and loan term, you can estimate your monthly obligations and plan your budget effectively.

How Mortgage Amortization Works

Your monthly mortgage payment is typically divided into two parts: principal and interest. In the early years of a long-term mortgage (like a 30-year fixed loan), a large portion of your payment goes toward interest. As time passes, the balance shifts, and more of your payment is applied to the principal balance. This process is known as amortization.

Key Factors Affecting Your Loan

  • Loan Principal: This is the amount you borrow, calculated as the home price minus your down payment. A larger down payment reduces your principal and monthly payments.
  • Interest Rate: Even a small difference in percentage can result in tens of thousands of dollars in savings or extra costs over the life of a loan.
  • Loan Term: Shorter terms (e.g., 15 years) usually have higher monthly payments but significantly lower total interest costs compared to 30-year terms.

Why Calculate Before You Apply?

Lenders look at your Debt-to-Income (DTI) ratio to determine eligibility. knowing your estimated monthly payment helps you assess whether a specific property fits within your financial comfort zone before you start the application process. Remember to also account for property taxes, homeowner's insurance, and private mortgage insurance (PMI) if your down payment is less than 20%.

function calculateMortgage() { var homePriceInput = document.getElementById("homePrice"); var downPaymentInput = document.getElementById("downPayment"); var interestRateInput = document.getElementById("interestRate"); var loanTermInput = document.getElementById("loanTerm"); var price = parseFloat(homePriceInput.value); var down = parseFloat(downPaymentInput.value); var rate = parseFloat(interestRateInput.value); var years = parseInt(loanTermInput.value); var errorDiv = document.getElementById("error-display"); var resultsDiv = document.getElementById("resultsSection"); var initialDiv = document.getElementById("initial-state"); // Validation if (isNaN(price) || isNaN(down) || isNaN(rate) || price <= 0 || down < 0 || rate = price if (principal <= 0) { document.getElementById("monthlyPaymentResult").innerHTML = "$0.00"; document.getElementById("principalResult").innerHTML = "$0.00"; document.getElementById("interestResult").innerHTML = "$0.00"; document.getElementById("totalCostResult").innerHTML = "$0.00"; resultsDiv.style.display = "block"; initialDiv.style.display = "none"; return; } var monthlyRate = rate / 100 / 12; var numberOfPayments = years * 12; var monthlyPayment = 0; if (rate === 0) { monthlyPayment = principal / numberOfPayments; } else { // Formula: M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1] monthlyPayment = principal * (monthlyRate * Math.pow(1 + monthlyRate, numberOfPayments)) / (Math.pow(1 + monthlyRate, numberOfPayments) – 1); } var totalCost = monthlyPayment * numberOfPayments; var totalInterest = totalCost – principal; // Display Results // Helper function for currency formatting var formatter = new Intl.NumberFormat('en-US', { style: 'currency', currency: 'USD', }); document.getElementById("monthlyPaymentResult").innerHTML = formatter.format(monthlyPayment); document.getElementById("principalResult").innerHTML = formatter.format(principal); document.getElementById("interestResult").innerHTML = formatter.format(totalInterest); document.getElementById("totalCostResult").innerHTML = formatter.format(totalCost); resultsDiv.style.display = "block"; initialDiv.style.display = "none"; }

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