Boc Interest Rate Calculator

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Mortgage Affordability Calculator

$
$
$
%
30 Years 15 Years
%
$
Maximum Home Price $0
Max Monthly Payment (P&I + Tax + Ins) $0
Loan Amount $0
Debt-to-Income (DTI) Analysis
Enter values to see analysis.

How Much House Can You Really Afford?

Determining your home buying power is the first critical step in the journey to homeownership. Unlike a simple mortgage payment calculator, our Mortgage Affordability Calculator uses the specific debt-to-income (DTI) guidelines that lenders actually use to approve loans.

How the Affordability Calculation Works

Lenders typically look at two primary ratios to decide how much they will lend you. This calculator adheres to the standard 28/36 rule, though some loan programs (like FHA) may allow for higher ratios:

  • Front-End Ratio (28%): Your potential monthly housing costs (principal, interest, taxes, and insurance) should not exceed 28% of your gross monthly income.
  • Back-End Ratio (36%): Your total monthly debt payments (housing costs + credit cards, car loans, student loans, etc.) should not exceed 36% of your gross monthly income.

The calculator determines the maximum monthly payment allowed under both rules and uses the lower number to ensure you remain within safe financial limits.

Key Factors Affecting Your Purchasing Power

Several variables impact the final home price you can afford:

  • Interest Rates: Even a 1% rise in interest rates can significantly reduce your buying power by increasing the cost of borrowing.
  • Down Payment: A larger down payment reduces the loan amount needed, allowing you to buy a more expensive home for the same monthly payment.
  • Existing Debt: High monthly obligations (like an expensive car lease) reduce your "Back-End" allowance, directly lowering the mortgage amount you can qualify for.
  • Property Taxes: Buying in an area with high tax rates reduces the portion of your monthly payment that can go toward the loan principal.

Understanding the Results

If your results are lower than expected, consider paying down consumer debt before applying for a mortgage. Reducing a $400 monthly car payment can increase your mortgage qualification amount by roughly $50,000 to $70,000, depending on current interest rates.

function calculateAffordability() { // 1. Get Input Values using var var annualIncome = parseFloat(document.getElementById('grossIncome').value); var monthlyDebts = parseFloat(document.getElementById('monthlyDebts').value); var downPayment = parseFloat(document.getElementById('downPayment').value); var interestRate = parseFloat(document.getElementById('interestRate').value); var loanTermYears = parseFloat(document.getElementById('loanTerm').value); var propertyTaxRate = parseFloat(document.getElementById('propertyTaxRate').value); var annualInsurance = parseFloat(document.getElementById('homeInsurance').value); // 2. Validation if (isNaN(annualIncome) || isNaN(interestRate) || isNaN(loanTermYears)) { alert("Please enter valid numbers for Income, Interest Rate, and Term."); return; } // Default 0 for optional fields if empty if (isNaN(monthlyDebts)) monthlyDebts = 0; if (isNaN(downPayment)) downPayment = 0; if (isNaN(propertyTaxRate)) propertyTaxRate = 0; if (isNaN(annualInsurance)) annualInsurance = 0; // 3. Variables for Calculation var monthlyGrossIncome = annualIncome / 12; var monthlyRate = (interestRate / 100) / 12; var numPayments = loanTermYears * 12; // 4. Calculate Max Allowable Payment based on Ratios (28/36 Rule) // Front-end: 28% of Income for Housing (PITI) var maxHousingFront = monthlyGrossIncome * 0.28; // Back-end: 36% of Income for Total Debts (Housing + Other Debts) var maxTotalBack = monthlyGrossIncome * 0.36; var maxHousingBack = maxTotalBack – monthlyDebts; // The lender will use the LOWER of the two var maxAllowedMonthlyPayment = Math.min(maxHousingFront, maxHousingBack); // If debts are too high, maxHousingBack could be negative if (maxAllowedMonthlyPayment Let's call the amortization factor 'A' // So: MaxPayment = (Loan * A) + ((Loan + Down) * MonthlyTaxRate) + MonthlyIns // MaxPayment = (Loan * A) + (Loan * MonthlyTaxRate) + (Down * MonthlyTaxRate) + MonthlyIns // MaxPayment – (Down * MonthlyTaxRate) – MonthlyIns = Loan * (A + MonthlyTaxRate) // Loan = (MaxPayment – (Down * MonthlyTaxRate) – MonthlyIns) / (A + MonthlyTaxRate) var monthlyTaxRateDecimal = (propertyTaxRate / 100) / 12; var monthlyInsuranceCost = annualInsurance / 12; // Amortization Factor 'A' var amortFactor = 0; if (monthlyRate === 0) { amortFactor = 1 / numPayments; } else { amortFactor = (monthlyRate * Math.pow(1 + monthlyRate, numPayments)) / (Math.pow(1 + monthlyRate, numPayments) – 1); } var numerator = maxAllowedMonthlyPayment – (downPayment * monthlyTaxRateDecimal) – monthlyInsuranceCost; var denominator = amortFactor + monthlyTaxRateDecimal; var maxLoanAmount = 0; if (denominator !== 0) { maxLoanAmount = numerator / denominator; } if (maxLoanAmount < 0) maxLoanAmount = 0; var maxHomePrice = maxLoanAmount + downPayment; // Recalculate actual P&I and Total Payment based on this Home Price to be precise for display var finalLoanAmount = maxHomePrice – downPayment; var finalPI = finalLoanAmount * amortFactor; var finalTax = maxHomePrice * monthlyTaxRateDecimal; var finalTotalMonthly = finalPI + finalTax + monthlyInsuranceCost; // 6. Display Results document.getElementById('resultHomePrice').innerText = formatCurrency(maxHomePrice); document.getElementById('resultLoanAmount').innerText = formatCurrency(finalLoanAmount); document.getElementById('resultMonthlyPayment').innerText = formatCurrency(finalTotalMonthly); // 7. DTI Analysis Logic var dtiElement = document.getElementById('dtiAnalysis'); var actualFrontEnd = (finalTotalMonthly / monthlyGrossIncome) * 100; var actualBackEnd = ((finalTotalMonthly + monthlyDebts) / monthlyGrossIncome) * 100; var dtiText = "Front-End: " + actualFrontEnd.toFixed(1) + "% | Back-End: " + actualBackEnd.toFixed(1) + "%"; // Logic for limiting factor var limitMsg = ""; if (maxHousingBack < maxHousingFront) { limitMsg = "Your buying power is limited by your monthly debts."; dtiElement.className = "dti-alert dti-warn"; } else { limitMsg = "Your buying power is limited by income (Front-end ratio)."; dtiElement.className = "dti-alert dti-good"; } if (maxLoanAmount <= 0) { dtiElement.innerHTML = "Debts are too high relative to income to qualify."; dtiElement.className = "dti-alert dti-bad"; } else { dtiElement.innerHTML = dtiText + limitMsg; } } function formatCurrency(num) { return "$" + num.toLocaleString('en-US', {minimumFractionDigits: 0, maximumFractionDigits: 0}); } // Initial calculation on load for demo values window.onload = function() { // Optional: Auto calculate on load // calculateAffordability(); };

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