How to Calculate Compounding Interest Rates

Mortgage Affordability Calculator

This calculator helps you estimate how much you can afford to borrow for a mortgage, considering your income, debts, and desired loan terms.

function calculateMortgageAffordability() { var annualIncome = parseFloat(document.getElementById("annualIncome").value); var monthlyDebt = parseFloat(document.getElementById("monthlyDebt").value); var downPayment = parseFloat(document.getElementById("downPayment").value); var loanTerm = parseInt(document.getElementById("loanTerm").value); var interestRate = parseFloat(document.getElementById("interestRate").value); var resultDiv = document.getElementById("result"); resultDiv.innerHTML = ""; // Clear previous results if (isNaN(annualIncome) || isNaN(monthlyDebt) || isNaN(downPayment) || isNaN(loanTerm) || isNaN(interestRate)) { resultDiv.innerHTML = "Please enter valid numbers for all fields."; return; } // Lender's Debt-to-Income (DTI) Ratio guidelines often range from 30% to 50%. // We'll use a common guideline of 36% for the total housing payment (PITI) // and a higher ratio (e.g., 43%) for total debt. var maxHousingPaymentRatio = 0.36; // Max percentage of gross monthly income for PITI var maxTotalDebtRatio = 0.43; // Max percentage of gross monthly income for all debts var grossMonthlyIncome = annualIncome / 12; var maxAllowedTotalDebtPayment = grossMonthlyIncome * maxTotalDebtRatio; var maxAllowedHousingPayment = grossMonthlyIncome * maxHousingPaymentRatio; // Calculate the maximum allowable monthly mortgage payment (Principal, Interest, Taxes, Insurance) var maxMonthlyMortgagePayment = maxAllowedTotalDebtPayment – monthlyDebt; if (maxMonthlyMortgagePayment maxAllowedHousingPayment) { maxMonthlyMortgagePayment = maxAllowedHousingPayment; } // Now, we need to calculate the maximum loan amount based on the maxMonthlyMortgagePayment. // This requires the mortgage payment formula (M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1]) // We need to rearrange it to solve for P (Principal Loan Amount). // P = M [ (1 + i)^n – 1] / [ i(1 + i)^n ] var monthlyInterestRate = (interestRate / 100) / 12; var numberOfPayments = loanTerm * 12; var maxLoanAmount = 0; if (monthlyInterestRate > 0) { maxLoanAmount = maxMonthlyMortgagePayment * (Math.pow(1 + monthlyInterestRate, numberOfPayments) – 1) / (monthlyInterestRate * Math.pow(1 + monthlyInterestRate, numberOfPayments)); } else { // Handle 0% interest rate case (though unlikely for mortgages) maxLoanAmount = maxMonthlyMortgagePayment * numberOfPayments; } // The total home price you can afford is the max loan amount plus your down payment. var affordableHomePrice = maxLoanAmount + downPayment; // Format results for display var formattedMaxLoanAmount = maxLoanAmount.toLocaleString(undefined, { style: 'currency', currency: 'USD' }); var formattedAffordableHomePrice = affordableHomePrice.toLocaleString(undefined, { style: 'currency', currency: 'USD' }); var formattedMaxMonthlyMortgagePayment = maxMonthlyMortgagePayment.toLocaleString(undefined, { style: 'currency', currency: 'USD' }); resultDiv.innerHTML = "

Estimated Affordability

" + "Based on your inputs, the maximum monthly mortgage payment (Principal, Interest, Taxes, Insurance) you might afford is: " + formattedMaxMonthlyMortgagePayment + "" + "This allows for an estimated maximum loan amount of: " + formattedMaxLoanAmount + "" + "With your down payment of " + downPayment.toLocaleString(undefined, { style: 'currency', currency: 'USD' }) + ", the estimated maximum home price you could afford is: " + formattedAffordableHomePrice + "" + "Disclaimer: This is an estimation only. Actual mortgage approval depends on lender specific criteria, credit score, property taxes, homeowner's insurance, PMI (if applicable), and market conditions. Consult with a mortgage professional for personalized advice."; } .calculator-container { font-family: sans-serif; padding: 20px; border: 1px solid #ccc; border-radius: 8px; max-width: 600px; margin: 20px auto; background-color: #f9f9f9; } .calculator-container h2, .calculator-container h3 { text-align: center; color: #333; } .calculator-container p { line-height: 1.6; color: #555; } .input-section { margin-top: 20px; display: grid; grid-template-columns: 1fr 1fr; gap: 15px; align-items: center; } .input-section label { font-weight: bold; color: #444; text-align: right; padding-right: 10px; } .input-section input[type="number"] { width: calc(100% – 20px); padding: 10px; border: 1px solid #ddd; border-radius: 4px; box-sizing: border-box; } .calculator-container button { display: block; width: 100%; padding: 12px 20px; background-color: #007bff; color: white; border: none; border-radius: 5px; cursor: pointer; font-size: 16px; margin-top: 20px; transition: background-color 0.3s ease; } .calculator-container button:hover { background-color: #0056b3; } #result { margin-top: 25px; padding: 15px; border-top: 1px solid #eee; background-color: #fff; border-radius: 5px; } #result p { margin-bottom: 10px; } #result strong { color: #0056b3; } /* Responsive adjustments */ @media (max-width: 480px) { .input-section { grid-template-columns: 1fr; } .input-section label { text-align: left; padding-right: 0; } .input-section input[type="number"] { width: 100%; } }

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