A house, by income.

The 28/36 rule, applied. We solve for your maximum responsible price — and the stretch number, too.

Comfortable price (28/36 rule)
$420,000
Stretch (43% DTI): $510,000
Monthly PITI (comfortable)$2,800
Loan amount$360,000
Closing costs (~3%)$12,600
Cash needed$72,600

Comfortable vs Stretch

Metric28/3643%
The two numbers

28/36 vs 43%, and which one to actually use.

There are two affordability ceilings in US mortgage lending. One is what banks will allow. The other is what your monthly budget will sustain comfortably. They are usually 30-50% apart in dollars of home price.

Comfortable max PITI = min(0.28 × monthly income, 0.36 × monthly income − other debts)
Stretch max PITI = 0.43 × monthly income − other debts
Worked example

Sarah & Tom, $120k household, $60k saved.

Scenario · 2026 · 6.5% mortgage rate

Comfortable price ~$420k. Bank-approved stretch ~$510k.

Setup. Combined gross $120,000/yr ($10,000/mo). Down payment available $60,000. Other monthly debts $450 (car loan + student loan). Property tax 1.1%, insurance $1,500/yr.
28% front-end PITI cap. $10,000 × 28% = $2,800/mo PITI.
36% back-end cap. $10,000 × 36% − $450 other debt = $3,150/mo for housing. Front-end is the binding constraint at $2,800.
Solve for home price. At 6.5% / 30yr, $2,800 PITI supports a loan of ~$360,000 (roughly $360k × 0.0063 monthly P&I + property tax + insurance). With $60k down → home price ~$420,000.
Stretch (43%). Same math at 43% back-end → home price ~$510,000. Bank will approve. Their monthly PITI would be $3,850 — 38.5% of gross. Cars, kids, retirement contributions, vacations all squeezed.
$420k buys a comfortable life. $510k buys the stress and the same square footage 30% above their reality.
2026 reference

Loan limits, programs, and benchmark rates.

ProgramMin downMin FICO2026 loan limit
Conventional (conforming)3% – 5%620 (740+ for best rates)$806,500 baseline / $1,209,750 high-cost (FHFA)
Conventional (jumbo)10% – 20%700+Above $806,500 (lender-set)
FHA3.5%580 (500 with 10% down)$526,700 baseline / $1,209,750 high-cost (HUD)
VA0%No statutory min (lender 580-620)No limit since 2020 for full-entitlement
USDA Rural0%640+ (lender)Income & area limits, no formal price cap
2026 conforming and FHA limits per FHFA / HUD annual announcements (typically late November / early December for the following year). Verify current at fhfa.gov / hud.gov.
The full cost is not just PITI

Budget 1-2% of home value per year for maintenance (Joint Center for Housing Studies / Harvard). On a $420,000 home that's $4,200-$8,400/year — $350-$700/month on top of PITI. Roof, HVAC, and water heater are the big-ticket items every 10-25 years. Year three of ownership is when these typically start arriving.

Cash needed at closing

Down payment is just the start.

The cash you'll actually write checks for at closing is down payment + closing costs + initial escrow funding. Most first-time buyers underestimate by 20-30%.

ItemTypical % of priceWhat it covers
Down payment3-20%Equity in the home
Origination + processing0.5-1%Lender fee for making the loan
Appraisal$500-800 flatRequired by lender to confirm collateral value
Inspection$400-600 flatOptional but always recommended
Title insurance + search0.5-1%Protects against ownership disputes
Recording + transfer tax0.5-2%Varies wildly by state and county
Prepaid escrow~1-2%2-3 months of property tax + insurance funded into escrow at closing
Reserves (post-closing)Lender-required2 months of PITI for conventional; 6 months for jumbo

Total non-down-payment closing cash typically runs 3-5% of price. On a $420,000 home: $12,600-$21,000 on top of the down payment.

Common mistakes

Where home affordability math goes wrong.

"What payment can you afford?"

The single most expensive frame in mortgage shopping. Lenders and realtors anchor on monthly payment because they can hit any payment by adjusting the term or assumptions. Negotiate total cost of ownership instead.

Maxing the bank's approval

Bank pre-approval = the legal ceiling under QM rules. Living at the ceiling means cars, retirement, vacations, and kids' activities all get squeezed. Aim for 80% of the pre-approval as the comfortable cap.

Forgetting the sell-side closing

You'll pay 6-8% of sale price when you eventually sell (agent commissions + transfer tax + concessions). This is invisible at purchase but determines how quickly buying beats renting. The rent-vs-buy calculator on this site bakes this in.

Methodology

What's behind the calculation.

Assumptions
  • Front-end ratio (28%): max PITI ÷ gross monthly income.
  • Back-end ratio (36% comfortable, 43% stretch): (max PITI + existing monthly debt) ÷ gross monthly income.
  • 30-year amortization at the user-supplied rate. Iteratively solve for home price by adjusting until the implied PITI matches the cap.
  • Property tax computed as user-supplied % × home price ÷ 12. Insurance as flat annual ÷ 12.
  • Closing costs estimated at 3% of price for the cash-needed line. Real closing costs run 3-5% — confirm with your specific Loan Estimate.
  • PMI is not modeled. Below 20% down on a conventional loan, add roughly 0.3-1.5% of loan amount annually until LTV hits 78%.
  • Property tax rate varies enormously by state (0.5% in HI to 2.5% in NJ) — use your county's actual rate, not a national average.

Sources: CFPB Qualified Mortgage rules (12 CFR 1026.43), Fannie Mae Eligibility Matrix, Freddie Mac Selling Guide, FHA 4000.1 Handbook, HUD FHA mortgage limits, FHFA conforming loan limits (annual), Joint Center for Housing Studies (Harvard) "State of the Nation's Housing".

Educational, not financial advice

The 28/36 rule is a heuristic, not a personalized recommendation. Local property tax rates, insurance markets, HOA structures, and household risk tolerance all shift the right answer. Run your specific numbers through a fee-only fiduciary before signing.

Glossary

Affordability vocabulary.

PITI
Principal + Interest + Taxes + Insurance. The four-part monthly cost of homeownership ex-maintenance and HOA.
Front-end DTI
PITI ÷ gross monthly income. Comfortable target ≤28%.
Back-end DTI
(PITI + all other monthly debts) ÷ gross monthly income. Comfortable ≤36%; bank cap typically 43%.
LTV
Loan-to-Value. Loan amount ÷ home price (purchase) or appraised value (refi). Below 80% LTV avoids PMI on conventional loans.
QM (Qualified Mortgage)
CFPB-defined safe-harbor mortgage with limits on points/fees and DTI. Most loans sold to Fannie/Freddie are QM.
Conforming loan
A loan within FHFA's conforming limit ($806,500 baseline for 2026). Eligible for purchase by Fannie Mae / Freddie Mac.
Jumbo loan
Loan above the conforming limit. Lender-portfolio held; tighter underwriting.
Closing costs
Origination, appraisal, title, recording, and prepaid escrow paid at closing. 3-5% of price typical.
PMI
Private Mortgage Insurance. Required on conventional loans below 80% LTV. Auto-cancels at 78% LTV per HPA 1998.
MIP
FHA's Mortgage Insurance Premium. Permanent on most FHA loans originated post-2013 — refinance to conventional to drop.
Related

Tools that pair with this one.

FAQ

Questions, asked plainly.

Almost never. Bank approval reflects the maximum allowed under CFPB Qualified Mortgage rules (43% back-end DTI for most loans, 50% for some) — that's the legal ceiling, not the comfortable budget. Most households who borrow at the maximum end up house-poor: cars, vacations, retirement contributions, and kids' activities all get squeezed. The 28/36 rule is the comfortable target; the 43% rule is what banks will let you do.

A two-part affordability heuristic. Spend no more than 28% of gross monthly income on housing PITI (front-end DTI). Spend no more than 36% on all monthly debt obligations including housing (back-end DTI). The rule predates modern mortgage finance — it shows up in early-20th-century building-society guidelines — but holds up because households who follow it consistently report lower financial stress and faster wealth accumulation.

Several programs lower the entry barrier. FHA loans allow 3.5% down with 580+ FICO (or 10% down with 500-579). The 2026 FHA loan limit (HUD): $526,700 baseline, up to $1,209,750 in high-cost areas. FHA mortgage insurance is permanent on most loans — plan to refinance to conventional once you hit 20% equity. Conventional Fannie HomeReady / Freddie Home Possible programs allow 3% down for income-eligible borrowers without permanent MI. State-level first-time buyer programs are listed at consumerfinance.gov.

The "20% down" rule is folklore — what 20% actually buys is exemption from PMI, not loan eligibility. Real options in 2026: Conventional 3% (HomeReady/Home Possible) or 5% standard. FHA 3.5% with 580+ FICO. VA 0% for eligible veterans. USDA 0% in eligible rural areas. For most households, putting less down and keeping reserves liquid is the better trade than putting 20% and emptying savings.

Conventional loans typically need 620+, with the best rates appearing at 740+. FHA accepts down to 580 with 3.5% down (500-579 with 10% down). VA has no statutory minimum, but most lenders set 580-620 overlays. USDA wants 640+. Above the lender's threshold, every 20-point rise in FICO is worth roughly 0.10-0.20% in rate — material money over 30 years. The 30-day rate-shopping window protects your score.

Per FHFA's annual announcement, the 2026 conforming loan limit is $806,500 baseline ($1,209,750 in designated high-cost areas: parts of CA, NY, MA, HI, AK, etc.). Loans above this are jumbo loans, with their own underwriting standards (often 700+ FICO, 20%+ down, slightly higher rates). The conforming limit determines whether your loan can be sold to Fannie Mae / Freddie Mac.

In rough order of forgotten size: (1) maintenance — Joint Center for Housing Studies (Harvard) estimates 1-2% of home value/year; (2) closing costs (3-5% to buy, 6-8% to sell); (3) HOA dues ($300-$800/month on condos and newer SFH); (4) higher utilities than apartment living; (5) furnishing the larger space; (6) lawn care or association fees. Budget closer to 32% of gross for total housing costs (PITI + maintenance + HOA + utility delta) rather than 28% PITI alone.

It depends on credit profiles and DTI. Adding a co-borrower raises qualifying income but the lender uses the lowest middle FICO across borrowers. If your partner has a 750 score and you have a 660, applying solo (if your income alone qualifies) gets the better rate. If your partner has a 580 score, the joint application drops you into a worse rate tier. Run both scenarios. State law also matters in community-property states.

Conventional lenders typically require 2 months of PITI in reserves after closing for primary residences (6 months for investment or jumbo). "Reserves" means liquid assets in your name post-closing. Beyond what the lender requires, the safer personal target is 3-6 months of full PITI plus your other emergency expenses sitting in a high-yield savings account. Year three of homeownership is when major repairs start hitting.

Private Mortgage Insurance protects the lender if you default with less than 20% equity. It runs roughly 0.3-1.5% of the loan annually, depending on credit and LTV. The Homeowners Protection Act of 1998 requires conventional lenders to auto-cancel PMI at 78% LTV on the original schedule, and on request at 80%. FHA mortgage insurance is different — most FHA loans originated 2013+ carry MIP for the life of the loan, so refinancing to conventional once you have 20% equity is the standard escape route.