How to Calculate Interest Rate Risk Sensitivity Analysis

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Mortgage Payment Calculator

30 Years 20 Years 15 Years 10 Years

Estimated Monthly Payment

$0.00
Total Principal $0.00
Total Interest $0.00
Total Cost $0.00
function calculateMortgage() { // Get input values var homePrice = parseFloat(document.getElementById('homePrice').value); var downPayment = parseFloat(document.getElementById('downPayment').value); var interestRate = parseFloat(document.getElementById('interestRate').value); var loanTermYears = parseInt(document.getElementById('loanTerm').value); // Validation if (isNaN(homePrice) || isNaN(downPayment) || isNaN(interestRate) || isNaN(loanTermYears)) { alert("Please enter valid numbers for all fields."); return; } if (downPayment >= homePrice) { alert("Down payment cannot be equal to or greater than the home price."); return; } // Calculation Logic var principal = homePrice – downPayment; var monthlyInterestRate = (interestRate / 100) / 12; var numberOfPayments = loanTermYears * 12; var monthlyPayment = 0; if (interestRate === 0) { monthlyPayment = principal / numberOfPayments; } else { // Formula: M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1 ] var pow = Math.pow(1 + monthlyInterestRate, numberOfPayments); monthlyPayment = principal * ((monthlyInterestRate * pow) / (pow – 1)); } var totalCost = monthlyPayment * numberOfPayments; var totalInterest = totalCost – principal; // Display Results document.getElementById('monthlyPaymentDisplay').innerHTML = "$" + monthlyPayment.toLocaleString('en-US', {minimumFractionDigits: 2, maximumFractionDigits: 2}); document.getElementById('principalDisplay').innerHTML = "$" + principal.toLocaleString('en-US', {minimumFractionDigits: 0, maximumFractionDigits: 0}); document.getElementById('totalInterestDisplay').innerHTML = "$" + totalInterest.toLocaleString('en-US', {minimumFractionDigits: 0, maximumFractionDigits: 0}); document.getElementById('totalCostDisplay').innerHTML = "$" + totalCost.toLocaleString('en-US', {minimumFractionDigits: 0, maximumFractionDigits: 0}); // Show result section document.getElementById('results').style.display = "block"; }

Understanding Your Mortgage Calculation

Using a mortgage payment calculator is an essential step in the home buying process. It helps prospective buyers understand the financial commitment involved in purchasing a property by estimating the monthly principal and interest payments.

How Mortgage Payments Are Calculated

Your monthly mortgage payment is primarily determined by four key factors:

  • Home Price: The total sale price of the property you intend to purchase.
  • Down Payment: The amount of cash you pay upfront. A higher down payment reduces the loan amount (principal) and can lower your interest rate and monthly payments.
  • Interest Rate: The annual percentage rate (APR) charged by the lender. Even a small difference in rates can significantly impact the total cost of the loan over 15 or 30 years.
  • Loan Term: The length of time you have to repay the loan. A 30-year term offers lower monthly payments but results in higher total interest paid compared to a 15-year term.

Principal vs. Interest

In the early years of a mortgage, a large portion of your monthly payment goes toward paying off the interest. As time passes and the principal balance decreases, a larger portion of the payment goes toward the principal. This process is known as amortization.

Additional Costs to Consider

While this calculator estimates your Principal and Interest (P&I), keep in mind that your actual monthly housing cost may include:

  • Property Taxes: Levied by local governments, usually based on the assessed value of the home.
  • Homeowners Insurance: Protects your home against damages and liability.
  • PMI (Private Mortgage Insurance): Required by lenders if your down payment is less than 20% of the home price.
  • HOA Fees: Monthly or annual fees if the property is part of a Homeowners Association.

Use our calculator above to experiment with different home prices, down payments, and interest rates to find a mortgage plan that fits your budget comfortably.

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