How to Calculate Interest Rate on a Loan Amount

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Mortgage Affordability Calculator

Estimate how much house you can buy based on your income and debts.

30 Years 20 Years 15 Years 10 Years
Conservative (28%) Standard (36%) Aggressive (43%) FHA Max (50%)
Please enter valid positive numbers for income and interest rate.

Maximum Home Price

$0
Max Monthly Payment
$0
Loan Amount
$0
Monthly Principal & Interest
$0
Est. Taxes & Insurance
$0

How Much House Can You Really Afford?

Determining "how much house can I afford" is the critical first step in the home buying process. This Mortgage Affordability Calculator goes beyond simple estimates by considering your specific financial picture, including your debt-to-income ratio (DTI), down payment savings, and current interest rates.

Understanding the Calculation Logic

Lenders don't just look at your salary; they look at your ability to repay. They use a metric called the Debt-to-Income Ratio (DTI). This calculator works backward from your DTI to find your maximum budget.

  • Gross Annual Income: Your total income before taxes.
  • Monthly Debts: Minimum payments on credit cards, student loans, and auto loans.
  • The 28/36 Rule: Ideally, your housing costs shouldn't exceed 28% of your gross monthly income, and your total debt (housing + other debts) shouldn't exceed 36%.

Key Factors Affecting Your Purchasing Power

1. Interest Rates

Interest rates significantly impact your buying power. A 1% increase in rates can reduce your purchasing power by approximately 10%. When rates are high, your monthly payment covers less principal, reducing the total loan amount you qualify for.

2. Down Payment

A larger down payment does two things: it reduces the loan amount needed (lowering monthly payments) and instantly increases the maximum price of the home you can purchase. If you put down less than 20%, remember to account for Private Mortgage Insurance (PMI), though this calculator focuses on the PITI (Principal, Interest, Taxes, Insurance) limits.

3. Property Taxes and Insurance

Many buyers forget that a "monthly mortgage payment" usually includes escrow for property taxes and homeowners insurance. In high-tax areas, these costs can eat up a significant portion of your qualifying budget. This calculator subtracts these estimated costs to give you a realistic "Principal and Interest" budget.

What is a Good DTI Ratio?

While 43% is often the absolute maximum for a Qualified Mortgage, sticking to a 36% back-end ratio is recommended for financial health. This ensures you aren't "house poor" and have funds remaining for maintenance, savings, and emergencies.

function calculateAffordability() { // Get Input Values var annualIncome = parseFloat(document.getElementById('annualIncome').value); var monthlyDebt = parseFloat(document.getElementById('monthlyDebt').value) || 0; var downPayment = parseFloat(document.getElementById('downPayment').value) || 0; var interestRate = parseFloat(document.getElementById('interestRate').value); var termYears = parseFloat(document.getElementById('loanTerm').value); var propertyTaxYearly = parseFloat(document.getElementById('propertyTax').value) || 0; var homeInsuranceYearly = parseFloat(document.getElementById('homeInsurance').value) || 0; var dtiLimit = parseFloat(document.getElementById('dtiRatio').value); // Validation var errorMsg = document.getElementById('errorMsg'); var resultSection = document.getElementById('resultSection'); if (isNaN(annualIncome) || isNaN(interestRate) || annualIncome <= 0 || interestRate < 0) { errorMsg.style.display = 'block'; resultSection.style.display = 'none'; return; } else { errorMsg.style.display = 'none'; } // Calculations var monthlyIncome = annualIncome / 12; // 1. Calculate Maximum Allowable Total Monthly Debt Payment based on DTI var maxTotalMonthlyDebt = monthlyIncome * dtiLimit; // 2. Calculate Maximum Housing Payment (PITI) available // Max Housing = Max Total Debt – Current Monthly Debts var maxHousingPayment = maxTotalMonthlyDebt – monthlyDebt; // Ensure maxHousingPayment is positive if (maxHousingPayment <= 0) { resultSection.style.display = 'block'; document.getElementById('maxHomePrice').innerHTML = "$0"; document.getElementById('maxHomePrice').style.color = "#c0392b"; document.getElementById('maxMonthlyPayment').innerHTML = "Income too low for debts"; document.getElementById('loanAmount').innerHTML = "$0"; document.getElementById('monthlyPI').innerHTML = "$0"; document.getElementById('monthlyTaxIns').innerHTML = "$0"; return; } // 3. Subtract Monthly Taxes and Insurance to find available P&I var monthlyTax = propertyTaxYearly / 12; var monthlyInsurance = homeInsuranceYearly / 12; var monthlyTaxAndIns = monthlyTax + monthlyInsurance; var availableForPI = maxHousingPayment – monthlyTaxAndIns; if (availableForPI <= 0) { resultSection.style.display = 'block'; document.getElementById('maxHomePrice').innerHTML = "Check Taxes/Ins"; document.getElementById('maxHomePrice').style.color = "#c0392b"; document.getElementById('maxMonthlyPayment').innerHTML = "$" + formatMoney(maxHousingPayment); document.getElementById('loanAmount').innerHTML = "$0"; document.getElementById('monthlyPI').innerHTML = "$0"; document.getElementById('monthlyTaxIns').innerHTML = "$" + formatMoney(monthlyTaxAndIns); return; } // 4. Calculate Max Loan Amount based on available P&I // Formula: PV = PMT * (1 – (1+r)^-n) / r var r = (interestRate / 100) / 12; var n = termYears * 12; var maxLoanAmount = 0; if (interestRate === 0) { maxLoanAmount = availableForPI * n; } else { maxLoanAmount = availableForPI * (1 – Math.pow(1 + r, -n)) / r; } // 5. Calculate Max Home Price var maxHomePrice = maxLoanAmount + downPayment; // Formatting Helpers function formatMoney(num) { return num.toLocaleString('en-US', { minimumFractionDigits: 0, maximumFractionDigits: 0 }); } // Display Results resultSection.style.display = 'block'; document.getElementById('maxHomePrice').style.color = "#27ae60"; document.getElementById('maxHomePrice').innerHTML = "$" + formatMoney(maxHomePrice); document.getElementById('maxMonthlyPayment').innerHTML = "$" + formatMoney(maxHousingPayment); document.getElementById('loanAmount').innerHTML = "$" + formatMoney(maxLoanAmount); document.getElementById('monthlyPI').innerHTML = "$" + formatMoney(availableForPI); document.getElementById('monthlyTaxIns').innerHTML = "$" + formatMoney(monthlyTaxAndIns); }

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