How Much House Can I Afford?

Estimate a home price from income, existing debts, recurring expenses, down payment, mortgage rate, loan term, property costs, and your chosen affordability limits.

DTI housing + total debt PMI modeled from LTV LIVE charts & sensitivity
⚑ Report error
Estimated affordable home price
—
Based on your DTI limits
Monthly housing cost
—
P&I + taxes + insurance + fees
Loan needed
—
LTV —
Monthly income—gross / before tax
Housing DTI—housing cost ÷ gross income
Total DTI—housing + debt + recurring expenses

Affordability budget

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housing limittotal-debt limitgross monthly income

Home price by DTI target

How the modeled purchase price changes as the total DTI limit moves
Live
Scenario sensitivityUpdates with inputs

Monthly housing cost

Principal & interest versus property costs and fees
Live
Cost composition100% of housing budget

Interest-rate sensitivity

Estimated home price at different mortgage rates
Live
Rate scenario rangeSame income & DTI
LIVE AFFORDABILITY INTELLIGENCE

What the number is really telling you

Updates live
Max housing budget—monthly cost limit in this model
Down payment—cash applied to purchase price
Loan-to-value—loan ÷ home price
Interest cost—projected over full loan term
Change income, debts, rate or property costs to see how the affordability ceiling moves.

Affordability scenarios

5 rows
Total DTIHome priceLoanHousing / monthTotal commitments

Your home-buying scenario

$
Before tax; include stable household income you want to model.
$
$
$
Cash applied to the purchase price; closing costs are not deducted here.
%
% / yr
% / yr
$
% / yr
% / yr
Set to 0 if PMI does not apply to your loan model.
%
%
Planning model: this is an estimate, not a lender approval or a legal rule. Your lender may use different underwriting, loan fees, taxes, insurance, reserves, credit criteria, or DTI limits.
THE CONCEPT

What does “How Much House Can I Afford?” actually mean?

A home affordability estimate is not simply “income × a number.” It is a constrained monthly-budget problem: your gross income creates an upper limit, existing debts consume part of that limit, and the proposed home adds principal and interest, property tax, insurance, HOA costs, maintenance and, in some cases, mortgage insurance.

The calculator works backward from a monthly housing budget to a home price. That makes the result more useful for planning because you can see why the price changes when you change the mortgage rate, down payment, debt load or property costs.

INCOME $10,000 gross / month DTI LIMIT 28–36% housing + total debt HOME PRICE $412k solved from monthly cost incomeconstraintspurchase ceiling
The key idea: the calculator first finds a monthly housing budget, then solves for the home price whose modeled monthly cost fits inside that budget.
①

Income

Gross household income sets the starting point for the DTI-based budget.

−

Existing obligations

Debt payments and recurring expenses reduce the amount available for the new home.

⌂

Home costs

The purchase price becomes a monthly cost through the loan, taxes, insurance and other fees.

THE MODEL

How the affordability calculation works

The model uses two ceilings. The first is a housing DTI target: the percentage of gross monthly income allocated to the home. The second is a total DTI limit: housing cost plus your existing debt and recurring obligations as a share of gross income. The smaller resulting housing budget controls the modeled home price.

1
Gross incomeAnnual pretax household income ÷ 12.
2
Two DTI capsHousing cap and total-debt cap are calculated separately.
3
Home costPrincipal + interest + tax + insurance + HOA + PMI + maintenance.
4
Solve priceThe home price is adjusted until the monthly cost meets the tighter cap.
5
ExplainThe result is decomposed so you can see what is driving it.
DTI & LTV

The formulas behind house affordability

1. Gross monthly income

Monthly income = Annual gross household income ÷ 12

2. Housing and total-debt limits

Housing cap = Monthly income × Housing DTI
Total-debt cap = Monthly income × Total DTI − Existing debt − Recurring expenses
Allowed housing budget = min(Housing cap, Total-debt cap)
DTI
decimal form of the selected ratio, such as 0.28 or 0.36

3. Mortgage principal and interest

M = L × [ i(1+i)ⁿ ] ÷ [ (1+i)ⁿ − 1 ]
M
monthly principal-and-interest payment
L
loan amount
i
monthly interest rate = annual rate ÷ 12
n
number of monthly payments = years × 12

4. Property costs

Monthly tax = Home price × annual tax rate ÷ 12
Monthly insurance = Home price × annual insurance rate ÷ 12
Monthly maintenance = Home price × annual maintenance rate ÷ 12

5. Loan-to-value and PMI

LTV = Loan amount ÷ Home price × 100%
PMI = Loan amount × PMI rate ÷ 12, when modeled LTV exceeds 80%
Why this is more than a mortgage-payment calculator: a payment can look manageable while taxes, insurance, maintenance, HOA fees or existing debt push the overall budget higher. The affordability model keeps those pieces visible instead of hiding them inside one number.
COST ANATOMY

What actually makes up the monthly housing cost?

Two homes with the same sale price can have different monthly costs. Tax rates, insurance, HOA fees, maintenance assumptions and down payment can all change the result. The chart above makes those components visible for the scenario you enter.

P+I

Principal & interest

The mortgage payment generated by the loan amount, interest rate and term.

%

Property tax

A percentage of home value converted to a monthly estimate.

✓

Insurance & upkeep

Insurance, HOA, maintenance and modeled PMI can materially change affordability.

REAL-WORLD CONTEXT

Buying a home is more than the listing price

Historic exterior view of a house
A real house is a physical asset with ongoing costs—not just a loan balance. This public-domain historical house photograph is used as a visual teaching example.

Once you own a home, the monthly budget can include expenses that are easy to overlook when comparing listing prices. Property taxes and insurance are recurring costs; repairs and maintenance are irregular but real; HOA or co-op fees can vary by property.

That is why a good affordability calculation should be read as a budget model, not a promise of loan approval. Your actual lender may use different qualifying rules, reserves, fees, credit criteria and debt definitions.

Planning check: keep a separate cash reserve for closing costs, moving, repairs and emergencies. A down payment is not the same thing as having enough cash to safely own the home.
SENSITIVITY

Why the mortgage rate can change the answer so much

The interest rate changes the principal-and-interest payment for every borrowed dollar. When the affordability budget is fixed, a higher rate means the same monthly budget supports a smaller loan—and therefore a smaller home price unless the down payment increases.

lower rate middle higher rate same monthly budget rate increases → price capacity falls
This conceptual curve is intentionally simple: the live chart in the calculator uses your actual inputs and solves each rate scenario numerically.
WORKED EXAMPLES

House affordability examples

These examples show the structure of the calculation. They are teaching scenarios, not quotes for a particular lender, property or market.

Example 01 · DTI-driven budget

$10,000 / month

If gross monthly income is $10,000 and the housing target is 28%, the housing cap starts at $2,800 before the total-debt constraint is considered.

Housing cap = $10,000 × 0.28 = $2,800

Example 02 · Existing debt matters

$3,600 total cap

At a 36% total DTI, $10,000 of gross monthly income gives a total-debt ceiling of $3,600. If $1,000 is already committed elsewhere, only $2,600 remains for the modeled home costs.

$3,600 − $1,000 = $2,600
ScenarioGross / monthHousing DTITotal DTIExisting obligationsHousing budget
Low-debt household$10,00028%36%$500$2,800
Moderate debt$10,00028%36%$1,000$2,600
Higher debt$10,00028%36%$1,500$2,100
PRACTICAL GUIDANCE

How to use the result responsibly

  • Run more than one rate: a small change in mortgage rate can materially change the loan supported by the same monthly budget.
  • Test your real recurring costs: childcare, tuition, support payments and other obligations can make a paper-perfect DTI feel very different in practice.
  • Separate cash from affordability: a larger down payment lowers the loan, but you should not drain every liquid reserve to reach a target price.
  • Check local property costs: tax and insurance assumptions can vary substantially by location and property.
  • Compare the whole monthly cost: principal and interest are only one part of owning the home.
Important: DTI guidelines are screening tools, not a complete measure of financial comfort. A lender's maximum qualification and your own sustainable budget can be different numbers.
FAQ

House affordability calculator FAQ

How much house can I afford on my salary?

Enter your gross household income, debts, recurring expenses, down payment, mortgage rate and property costs. The calculator solves for the highest home price that fits the selected housing and total-DTI constraints in the model.

What is the 28/36 rule?

It is a common U.S. affordability guideline in which housing costs are often discussed around 28% of gross monthly income and total debt around 36%. It is a rule of thumb, not a universal approval rule.

Does a larger down payment always increase affordability?

It can lower the loan balance and may reduce modeled PMI when LTV falls below the threshold, but using too much cash for the down payment can reduce your emergency and closing-cost reserves.

Why are taxes and insurance included?

Because the monthly cost of owning a home can be much higher than principal and interest alone. Including these costs gives a fuller budget picture.

Is the result the amount a bank will approve?

No. The result is a planning estimate based on the inputs you choose. A lender can use different underwriting rules, credit criteria, reserves, loan fees and definitions of debt and income.

Does this calculator include closing costs?

Closing costs are not subtracted from the down-payment input. Treat them as a separate cash requirement when planning a purchase.