How to Calculate Daily Interest from Annual Rate

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Mortgage Affordability Calculator

Find out how much home you can actually afford based on your income.

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Your Purchasing Profile

Maximum Home Price: $0
Maximum Loan Amount: $0
Estimated Monthly Payment (PITI): $0
Front-End DTI Ratio: 28%
Back-End DTI Ratio: 36%

How Home Affordability is Calculated

Lenders don't just look at your salary when deciding how much you can borrow. They use specific financial metrics called Debt-to-Income (DTI) ratios to determine your "purchasing power." This calculator uses the standard 28/36 Rule, which is the benchmark for most conventional mortgage underwriting.

The 28/36 Rule Explained

  • The 28% Rule (Front-End Ratio): This guideline suggests that your total housing expenses (including principal, interest, taxes, and insurance) should not exceed 28% of your gross monthly income.
  • The 36% Rule (Back-End Ratio): This guideline suggests that your total debt obligations (housing expenses plus existing debts like car loans, student loans, and credit cards) should not exceed 36% of your gross monthly income.

Factors That Impact Your Budget

While income is the primary driver, several other factors can significantly shift your maximum home price:

  • Interest Rates: A 1% increase in interest rates can reduce your purchasing power by roughly 10%.
  • Down Payment: The more you put down, the lower your loan-to-value ratio, which may help you avoid Private Mortgage Insurance (PMI).
  • Local Property Taxes: High-tax states like New Jersey or Texas require a larger portion of your monthly payment to go toward escrow, leaving less for the actual loan.
  • Credit Score: Higher scores unlock lower interest rates, directly increasing how much house you can afford for the same monthly payment.

Real-World Example

If you earn $100,000 per year ($8,333/month) and have $500 in monthly car payments:

1. The 28% rule allows a housing payment of $2,333.
2. The 36% rule allows $3,000 total debt minus $500 existing debt = $2,500.
3. The lender uses the lower of the two ($2,333) as your maximum monthly housing budget.

function calculateMortgageAffordability() { var annualIncome = parseFloat(document.getElementById('annualIncome').value); var monthlyDebt = parseFloat(document.getElementById('monthlyDebt').value); var downPayment = parseFloat(document.getElementById('downPayment').value); var annualRate = parseFloat(document.getElementById('interestRate').value); var years = parseInt(document.getElementById('loanTerm').value); var taxRate = parseFloat(document.getElementById('propertyTax').value) / 100; if (isNaN(annualIncome) || annualIncome <= 0) { alert("Please enter a valid annual income."); return; } var monthlyIncome = annualIncome / 12; // Standard 28/36 Rules var frontEndMax = monthlyIncome * 0.28; var backEndMax = (monthlyIncome * 0.36) – monthlyDebt; // Use the more conservative limit var maxMonthlyPITI = Math.min(frontEndMax, backEndMax); if (maxMonthlyPITI <= 0) { alert("Your current debts are too high relative to your income for standard mortgage limits."); return; } // PITI = P&I + (Price * TaxRate / 12) // Monthly P&I = L * [i(1+i)^n] / [(1+i)^n – 1] // We need to solve for Price (Home Value) where Loan (L) = Price – DownPayment var i = (annualRate / 100) / 12; var n = years * 12; // Monthly P&I Factor var factor = (i * Math.pow(1 + i, n)) / (Math.pow(1 + i, n) – 1); // Equation: MaxMonthlyPITI = (Price – DownPayment) * factor + (Price * taxRate / 12) // MaxMonthlyPITI = Price * factor – DownPayment * factor + Price * (taxRate / 12) // MaxMonthlyPITI + DownPayment * factor = Price * (factor + taxRate / 12) // Price = (MaxMonthlyPITI + DownPayment * factor) / (factor + taxRate / 12) var maxPrice = (maxMonthlyPITI + (downPayment * factor)) / (factor + (taxRate / 12)); var maxLoan = maxPrice – downPayment; if (maxLoan < 0) maxLoan = 0; // Display Results document.getElementById('affordabilityResults').style.display = 'block'; document.getElementById('maxHomePrice').innerHTML = '$' + Math.round(maxPrice).toLocaleString(); document.getElementById('maxLoanAmount').innerHTML = '$' + Math.round(maxLoan).toLocaleString(); document.getElementById('monthlyPITI').innerHTML = '$' + Math.round(maxMonthlyPITI).toLocaleString(); document.getElementById('frontEndRatio').innerHTML = '28% ($' + Math.round(frontEndMax).toLocaleString() + ')'; document.getElementById('backEndRatio').innerHTML = '36% ($' + Math.round(backEndMax + monthlyDebt).toLocaleString() + ' cap)'; // Scroll to results document.getElementById('affordabilityResults').scrollIntoView({ behavior: 'smooth', block: 'nearest' }); }

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