What is estimated
A purchase-price ceiling, loan amount, monthly housing breakdown, cash-to-close estimate, and rate sensitivity.
Enter your values, then calculate to see a verified result.
A purchase-price ceiling, loan amount, monthly housing breakdown, cash-to-close estimate, and rate sensitivity.
Compare lender-style DTI capacity with a household comfort budget and use the lower entered limit.
This model does not approve a loan or replace a lender Loan Estimate.
Transparent by design
Lower applicable allowanceAllowance − non-loan costsFixed-rate present valueis the ceiling produced by the entered assumptions, not a recommendation to spend that amount.
Check the separate cash-to-close estimate and preserve reserves.
Compare the rate scenarios before choosing a shopping range.
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Independent spreadsheet benchmarks, algebraic reconciliation, boundary cases, mobile/browser checks, internal-link audit, and primary-source review.
| Case | Inputs | Expected result |
|---|---|---|
| Published worked example | $120,000 income; $600 debt; 28/36 DTI; $850 tax and insurance; $100 HOA; 6.5%; 30 years; $60,000 down | $2,800 limiting cap; about $308,511 loan and $368,511 price |
| Zero rate | $2,000 monthly P&I; 10 years; no housing add-ons | $240,000 supported loan |
| Cost reconciliation | Percentage-linked property tax and mortgage insurance | Displayed all-in cost equals the selected housing allowance |
Start with gross monthly income and recurring monthly debt. A lender-style scenario may cap housing with a front-end ratio and cap total debt with a back-end ratio. The calculator then subtracts property tax, homeowners insurance, HOA dues, mortgage insurance, and other included housing costs from the monthly housing allowance. The remaining principal-and-interest budget is converted into a loan amount with the fixed-payment formula, and the down payment is added to estimate a home price.
Run at least three scenarios: a conservative household budget, a middle planning case, and a higher lender-style ceiling. The best decision is rarely the largest displayed number.
| Label | Visible copy |
|---|---|
| Method used | Income and debt caps plus the fixed-rate amortizing-payment formula; taxes, insurance, HOA, and mortgage insurance are modeled separately. |
| Outputs supported | Estimated purchase price, loan amount, principal and interest, total monthly housing cost, DTI ratios, cash estimate, and sensitivity scenarios. |
| Review status | CalculatorGeek Algorithmic Team — set the visible review date only after completing and recording the QA checklist in this package. |
| Important note | The result is an educational scenario. Lender definitions, qualifying income, debts, credit, reserves, property costs, and program rules can change the actual outcome. |
Gross monthly income = annual gross income / 12.
Front-end housing cap = gross monthly income × selected front-end ratio.
Back-end housing cap = gross monthly income × selected back-end ratio − included monthly debts.
Modeled housing allowance = the lower applicable cap. In payment mode, it is the user's entered all-in monthly housing budget.
Principal-and-interest budget = housing allowance − monthly tax − monthly insurance − HOA − mortgage insurance − other included housing costs.
For a fixed-rate fully amortizing loan:
M = L × r(1 + r)^n / ((1 + r)^n − 1)
where M is periodic principal and interest, L is loan principal, r is the periodic note rate, and n is the number of payments. To solve for loan amount:
L = M × ((1 + r)^n − 1) / (r(1 + r)^n)
If the down payment, property tax, insurance, HOA, or mortgage insurance is a percentage of price or balance, the variables depend on the unknown home price. The implementation should solve iteratively until the all-in payment and price converge, not add percentage costs after solving.
Assume $120,000 gross annual income, $600 of other monthly debt, a 28% front-end scenario, a 36% back-end scenario, $600 monthly property tax, $150 insurance, $100 HOA, no mortgage insurance, 6.50% annual note rate, 30 years, and a $60,000 down payment.
This example assumes fixed dollar estimates. A price-linked tax rate or mortgage-insurance rate requires iteration and changes the result.
DTI answers a narrow question about income and debt under defined rules. It does not know whether a household has expensive childcare, irregular self-employment income, major medical costs, aggressive savings goals, or an older property likely to need repairs. CFPB specifically distinguishes what a lender may offer from what fits comfortably within the rest of a household budget. Show both concepts and label them.
Principal and interest are only the loan portion. A realistic housing total can also include property taxes, homeowners insurance, mortgage insurance, HOA or co-op dues, and other required assessments. Utilities and maintenance are normally budget items outside the lender payment; show them separately rather than silently treating them as escrow.
Affording a monthly payment does not prove that the buyer has enough closing cash. A planning estimate may include down payment, estimated closing costs, prepaid taxes or insurance, initial escrow funding, deposits already paid, credits, and adjustments. The lender's Loan Estimate is the better document for a specific transaction. Do not present down payment + generic percentage as an exact cash-to-close figure.
Compare the result at the entered rate, plus and minus 0.5 percentage point; with the entered tax and insurance quotes; with a higher maintenance reserve; and with at least two down payments. A sensitivity table should identify what changed and hold every other input constant. Do not mix updated rates with old property-cost assumptions.
There is no responsible salary-only answer. Enter income, debts, cash, note rate, term, and property-specific costs, then compare the lender-style scenario with a payment that fits the rest of your budget.
Use the ratio requested by a particular lender or program when testing qualification. For early planning, compare several clearly labeled scenarios. CFPB says DTI limits differ across loan products and lenders.
It reduces the loan amount, but using nearly all liquid savings can leave too little for closing, repairs, or emergencies. Evaluate payment and remaining cash together.
No, unless you enter current property- and policy-specific figures. Defaults are estimates and can change.
No. Preapproval is a lender process using documentation, credit, program rules, and underwriting. This calculator is an educational scenario.
It may use a different DTI, rate, tax, insurance, HOA, mortgage-insurance, maintenance, down-payment, or rounding assumption. Compare the assumptions—not only the headline price.
Source research checked September 11, 2026. CalculatorGeek Algorithmic Team completed the calculation, source, route, and browser review on September 11, 2026. CalculatorGeek is not a lender, broker, financial planner, tax adviser, or legal adviser.
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