House Affordability

Finance & Loans

Determine maximum affordable home purchase price and monthly mortgage budget based on gross household income, monthly debt obligations, down payment, and lender DTI debt caps.

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Calculated Result
385,639

Max home price Β· loan 308,511 Β· P&I 1,950/mo

Max housing budget / mo
2,300
Down payment
77,128
Formula: Max P&I from DTI, then invert M = P r(1+r)ⁿ / ((1+r)βΏβˆ’1)

About this calculator

Before touring homes or applying for mortgage pre-approval, prospective homebuyers must understand how financial lenders assess debt capacity. Mortgage underwriters evaluate front-end DTI (housing costs as a percentage of gross income, typically capped at 28%) and back-end DTI (all recurring debts plus housing, capped around 36% to 43%).

This calculator estimates your maximum loan size, purchase price with down payment, estimated property taxes, homeowners insurance, and private mortgage insurance (PMI) to ensure your monthly payment remains financially comfortable.

How It Works & Formula

FormulaMax payment = income Γ— DTI βˆ’ debts βˆ’ tax βˆ’ insurance; invert amortization

The engine computes maximum allowable monthly housing expenditure using front-end and back-end DTI limits. It subtracts estimated property taxes and insurance, then reverses the loan amortization equation at your specified mortgage interest rate to determine maximum borrowing principal.