Compounded Interest Rate Calculator

Home Affordability Calculator

Use this calculator to estimate how much house you can afford based on your income, debt, and down payment. Understanding your borrowing power is a crucial first step in the home-buying process. This tool helps you get a realistic idea of your price range, allowing you to focus your search and avoid disappointment.

.calculator-container { font-family: sans-serif; max-width: 600px; margin: 20px auto; padding: 20px; border: 1px solid #ddd; border-radius: 8px; background-color: #f9f9f9; } .calculator-title { text-align: center; margin-bottom: 15px; color: #333; } .calculator-description { font-size: 0.9em; color: #555; margin-bottom: 25px; line-height: 1.5; } .calculator-inputs { display: grid; grid-template-columns: repeat(auto-fit, minmax(250px, 1fr)); gap: 15px; margin-bottom: 20px; } .input-group { display: flex; flex-direction: column; } .input-group label { margin-bottom: 5px; font-weight: bold; color: #444; font-size: 0.9em; } .input-group input { padding: 10px; border: 1px solid #ccc; border-radius: 4px; font-size: 1em; } button { display: block; width: 100%; padding: 12px 15px; background-color: #007bff; color: white; border: none; border-radius: 4px; font-size: 1.1em; cursor: pointer; transition: background-color 0.3s ease; } button:hover { background-color: #0056b3; } .calculator-result { margin-top: 20px; padding: 15px; background-color: #e9ecef; border: 1px solid #ced4da; border-radius: 4px; font-size: 1.1em; text-align: center; color: #333; } function calculateAffordability() { var annualIncome = parseFloat(document.getElementById("annualIncome").value); var monthlyDebt = parseFloat(document.getElementById("monthlyDebt").value); var downPayment = parseFloat(document.getElementById("downPayment").value); var interestRate = parseFloat(document.getElementById("interestRate").value) / 100; var loanTerm = parseFloat(document.getElementById("loanTerm").value); var propertyTaxRate = parseFloat(document.getElementById("propertyTaxRate").value) / 100; var homeInsurance = parseFloat(document.getElementById("homeInsurance").value); var pmiRate = parseFloat(document.getElementById("pmiRate").value) / 100; var resultElement = document.getElementById("result"); resultElement.innerHTML = ""; // Clear previous results if (isNaN(annualIncome) || isNaN(monthlyDebt) || isNaN(downPayment) || isNaN(interestRate) || isNaN(loanTerm) || isNaN(propertyTaxRate) || isNaN(homeInsurance) || isNaN(pmiRate)) { resultElement.innerHTML = "Please enter valid numbers for all fields."; return; } // Lender typically allows PITI (Principal, Interest, Taxes, Insurance) + PMI to be 28-36% of gross monthly income. // We'll use a conservative 30% for this calculation. var maxMonthlyHousingPaymentRatio = 0.30; var monthlyGrossIncome = annualIncome / 12; var maxMonthlyHousingPayment = monthlyGrossIncome * maxMonthlyHousingPaymentRatio; // Exclude existing debt from the housing payment calculation var maxPITI_PMI = maxMonthlyHousingPayment – monthlyDebt; if (maxPITI_PMI <= 0) { resultElement.innerHTML = "Based on your income and existing debt, it may be difficult to qualify for a mortgage at this time."; return; } // Estimate the maximum loan amount. This is complex as property tax and insurance depend on home value, which depends on loan amount. // We'll use an iterative approach or simplify. A common simplification is to assume a loan-to-value (LTV) ratio for the property tax calculation initially, // or to directly estimate the maximum loan amount based on the monthly P&I payment. // Let's calculate the maximum loan amount based on the *monthly P&I payment* that can be afforded. // Max P&I = Max PITI_PMI – Monthly Property Tax – Monthly Home Insurance – Monthly PMI // We need to make an assumption about the Loan-to-Value (LTV) for initial tax and PMI calculation or iterate. // A common approach is to assume a max LTV for estimation (e.g., 80% if down payment is 20%). // For simplicity, let's assume a common LTV like 80% for initial tax/PMI estimate. // This will be a rough estimate. A more accurate calculation might require iteration. // Let's try to estimate a max loan amount directly by simplifying. // If we can determine the maximum *loan amount* (not monthly payment), we can work backward. // Max Affordable Home Price = Down Payment + Max Loan Amount. // A simpler approach for a basic calculator is to estimate based on debt-to-income (DTI) ratios, // where lenders look at total monthly debt payments (including proposed mortgage PITI+PMI) to gross monthly income. // Let's stick to the 28-36% of gross monthly income for PITI+PMI and solve for the loan amount. // Let's reformulate: max PITI = maxPITI_PMI – (monthly insurance + monthly PMI) // We need to estimate monthly property tax and PMI, which depend on the home price. // Let's assume a loan-to-value ratio (LTV) for estimation. If downPayment is = 0.20 * (annualIncome / maxMonthlyHousingPaymentRatio * 12)) { // very rough check for potential home price estimatedLTV = 1 – (downPayment / (annualIncome / maxMonthlyHousingPaymentRatio * 12)); // If down payment is substantial } if (estimatedLTV > 0.95) estimatedLTV = 0.95; // Cap LTV if (estimatedLTV < 0.60) estimatedLTV = 0.60; // Floor LTV var estimatedHomePrice = downPayment / (1 – estimatedLTV); // Initial guess for home price to estimate tax and PMI var monthlyPropertyTax = (estimatedHomePrice * propertyTaxRate) / 12; var monthlyPMI = (estimatedHomePrice * estimatedLTV * pmiRate) / 12; // PMI is usually on loan amount, not full price var monthlyInsurance = homeInsurance / 12; // Re-calculate max PITI based on estimated monthly expenses var maxPITI = maxPITI_PMI – monthlyPropertyTax – monthlyInsurance – monthlyPMI; if (maxPITI <= 0) { resultElement.innerHTML = "Based on estimated property taxes, insurance, and PMI, your affordable housing payment is too low to qualify for a loan."; return; } // Calculate maximum loan amount using the mortgage payment formula (M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1]) // where M is the monthly payment, P is the principal loan amount, i is the monthly interest rate, and n is the number of payments. // We need to solve for P. var monthlyInterestRate = interestRate / 12; var numberOfPayments = loanTerm * 12; if (monthlyInterestRate 0) { maxLoanAmount = maxPITI * (Math.pow(1 + monthlyInterestRate, numberOfPayments) – 1) / (monthlyInterestRate * Math.pow(1 + monthlyInterestRate, numberOfPayments)); } // Adjust for down payment to find maximum affordable home price var maxAffordableHomePrice = downPayment + maxLoanAmount; // Re-calculate actual PITI and PMI for the calculated maxAffordableHomePrice to verify var actualMonthlyPropertyTax = (maxAffordableHomePrice * propertyTaxRate) / 12; var actualLoanAmount = maxAffordableHomePrice – downPayment; var actualMonthlyPMI = (actualLoanAmount * pmiRate) / 12; // PMI is on loan amount var actualMonthlyInsurance = homeInsurance / 12; var actualPITI = maxPITI_PMI – actualMonthlyPropertyTax – actualMonthlyInsurance – actualPMI; if (actualPITI 0 && monthlyInterestRate > 0) { calculatedP_and_I = actualLoanAmount * (monthlyInterestRate * Math.pow(1 + monthlyInterestRate, numberOfPayments)) / (Math.pow(1 + monthlyInterestRate, numberOfPayments) – 1); } if (isNaN(maxAffordableHomePrice) || maxAffordableHomePrice <= 0) { resultElement.innerHTML = "Could not determine a valid affordable home price. Please check your inputs."; return; } resultElement.innerHTML = ` Estimated Maximum Home Price You Can Afford: $${maxAffordableHomePrice.toLocaleString(undefined, { minimumFractionDigits: 0, maximumFractionDigits: 0 })} (Based on a maximum housing payment of 30% of gross monthly income, excluding existing debts.) Breakdown:
  • Estimated Maximum Loan Amount: $${maxLoanAmount.toLocaleString(undefined, { minimumFractionDigits: 0, maximumFractionDigits: 0 })}
  • Estimated Monthly Principal & Interest (P&I): $${calculatedP_and_I.toLocaleString(undefined, { minimumFractionDigits: 2, maximumFractionDigits: 2 })}
  • Estimated Monthly Property Tax: $${actualMonthlyPropertyTax.toLocaleString(undefined, { minimumFractionDigits: 2, maximumFractionDigits: 2 })}
  • Estimated Monthly Home Insurance: $${actualMonthlyInsurance.toLocaleString(undefined, { minimumFractionDigits: 2, maximumFractionDigits: 2 })}
  • Estimated Monthly PMI: $${actualMonthlyPMI.toLocaleString(undefined, { minimumFractionDigits: 2, maximumFractionDigits: 2 })}
Disclaimer: This is an estimate. Lender approval depends on many factors, including credit score, employment history, and specific loan programs. Consult with a mortgage professional for precise figures. `; }

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