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How Much House Can I Afford? Approval Price vs Affordable Price

How Much House Can I Afford? Approval Price vs Affordable Price

On $110,000 of income a lender may approve $521,000, the 28/36 rule says $330,000, and the take-home budget carries $275,000. The gap, worked.

Ask how much house can I afford and you get two different numbers, and the distance between them is the whole problem. On $110,000 of combined income with $650 a month of existing debt payments and 10% down, an automated underwriting approval can reach a $521,000 purchase price; the old 28/36 rule of thumb says $330,000; and the household's actual take-home budget — the one with childcare, retirement contributions and a roof fund in it — carries about $275,000. That is a $246,000 spread on the same borrower, on the same day, at the same 6.66% rate.

The gap is not random. It is systematic, and it runs in one direction: underwriting counts your debts but not your life. This guide computes all three numbers on one named household, shows exactly which line items the ratio never sees, and gives you the arithmetic to redo it at your own income. Scope honesty first: this is general information built on stated assumptions and rates as of September 2026, not personal advice.

Automated underwriting would approve about 521,000 dollars, the 28/36 rule allows 330,000, and the household's actual take-home budget supports about 275,000
Three answers to the same question One household: $110,000 combined gross, $650/month of existing debt payments, 10% down, 6.66% 30-year fixed (Freddie Mac PMMS, week of August 27, 2026), 1.1% property tax, $2,470/yr insurance, 0.6% PMI.

Who this is for — and who it is not for

This is for a US buyer with W-2 income shopping a primary residence with a conventional or FHA 30-year fixed loan, somewhere in the $200,000–$600,000 price band, who has been pre-approved for more than feels comfortable and wants to know whether that feeling is right. It assumes you are choosing a price, not choosing between renting and owning — that question is worked separately in rent vs buy — and that you already know you want a fixed rate rather than the shorter-term trade in 15-year vs 30-year mortgages.

It is not for self-employed or commission-heavy borrowers, whose qualifying income is a two-year average of net profit and can land far below what their bank balance suggests. It is not for jumbo borrowers, where overlays tighten and 43% total DTI often becomes a hard wall. And it is not a VA guide: VA underwriting runs primarily on residual income — dollars left after all obligations, by family size and region — which is a better test than any ratio and deserves its own treatment.

How much house can I afford under the 28/36 rule

The 28/36 rule is two ratios applied to gross monthly income. Take $110,000 combined: that is $9,166.67 a month before anything comes out.

  • Front-end (28%): housing costs — principal, interest, taxes and insurance — must stay under 28% of gross. That is $2,566.67.
  • Back-end (36%): housing plus every other required monthly debt payment must stay under 36% of gross. That is $3,300.00; subtract the household's $650 car and credit-card payments and $2,650.00 is left for housing.
The 28 percent housing cap is 2,567 dollars and the 36 percent cap leaves 2,650 after debts, so the front-end ratio binds first
The 28/36 rule computed on $9,167 a month $110,000 combined gross = $9,166.67 a month. Front-end cap is 28% of gross; back-end cap is 36% of gross less the household's $650 of car and card payments.

The binding constraint here is the front-end ratio, by $83 a month — a coincidence of this household's debt load, not a general truth. The crossover is easy to compute: the back-end ratio binds whenever your other debt payments exceed 8% of gross income (36% − 28%), which here is $733 a month. Below that, the 28% housing cap sets your price; above it, every extra dollar of car payment comes straight out of your housing budget. Both ratios are treated at length in the entries on qualifying ratios and the front-end ratio.

Turn $2,566.67 of monthly housing into a price and, at 10% down, 6.66%, a 1.1% property tax and $2,470 of annual insurance, it buys a $330,000 house with a $297,000 loan and a $1,909 principal-and-interest payment. Run your own income through the mortgage affordability calculator before reading further; the rest of this article is about why $330,000 is still too high for this household.

What PITI actually includes, and which part is moving

PITI is principal, interest, taxes and insurance — the four things a servicer collects in one debit. Principal and interest are fixed for thirty years on a fixed-rate loan. Taxes and insurance are not fixed at all, and they are the reason a payment that fit in year one stops fitting in year four.

At 275,000 dollars the payment is 1,591 principal and interest plus 252 tax, 206 insurance and 124 PMI; at 521,000 it is 3,013 plus 478, 206 and 234
What is inside the payment at two prices Monthly components at 6.66% (Freddie Mac PMMS, week of August 27, 2026), 10% down, property tax 1.1% of price, insurance $2,470/yr, PMI 0.6% of loan. Maintenance is not part of PITI and is not escrowed.

On the $275,000 house this article ends up recommending, the payment is $1,591 of principal and interest, $252 of property tax, $206 of insurance and $124 of PMI — $2,172 in total, of which $582, or 27%, reprices without asking you. Taxes and insurance sit in an escrow account that is re-analysed annually, and that annual analysis is where payment shock actually arrives — see the entry on how escrow works.

The insurance line has been the fast mover. Treasury's Federal Insurance Office, working from state regulator data covering 246 million policies, found homeowners premiums rose 8.7% faster than inflation between 2018 and 2022, with the highest-climate-risk ZIP codes paying 82% more than the lowest. That has not stopped: industry projections put 2026 growth near 4% nationally after a roughly 12% jump in 2025. Property taxes move too, and hardest right after you buy, because many jurisdictions reassess to your purchase price. A budget built on the seller's tax bill is built on a number that is about to change.

DTI is the real gate, and it is looser than you think

The 28/36 rule is a rule of thumb, not a rule. What actually decides your approval is debt-to-income — all your monthly debt payments divided by gross monthly income, as the CFPB puts it — and the thresholds that matter are the ones written into each program's guidelines.

For conventional loans, the Fannie Mae Selling Guide sets a 36% maximum total DTI on manually underwritten loans, exceedable to 45% for borrowers who meet the credit score and reserve requirements in the Eligibility Matrix. But the guide then says the number that governs almost every loan actually written: for casefiles run through Desktop Underwriter, the maximum allowable DTI is 50%. FHA is structured differently — HUD Handbook 4000.1 sets benchmark ratios of 31% for housing and 43% for total debt, with either exceedable when the lender documents compensating factors such as substantial cash reserves, minimal payment shock, or strong residual income. In practice, FHA approvals through automated underwriting reach the mid-50s.

Approvable prices run from 330,000 dollars under the 28/36 rule of thumb to about 611,000 under an FHA approval stretched to 57 percent DTI
What each underwriting path will actually approve Housing and total-debt ratios per Fannie Mae Selling Guide B3-6-02 and FHA benchmark ratios in HUD Handbook 4000.1. Prices computed on $9,166.67 monthly gross, $650 of existing debt, 10% down, 6.66%, 1.1% tax, $2,470 insurance, 0.6% mortgage insurance. FHA rows use the same escrow and insurance assumptions rather than FHA's exact MIP schedule.

Read that table as a range of legally clean outcomes for one borrower. The same $110,000 household is approvable at $330,000 or at $611,000 depending on which door it walks through, and nothing about the household changes in between. Check your own ratio with the debt-to-income calculator — and note what it is blind to, laid out in the entry on the DTI ratio.

The gap between what a lender will approve and what you should borrow

The gap between the maximum approval and the affordable price is 246,000 dollars of purchase price, or 1,759 dollars a month of payment
What the ceiling costs if you treat it as a target Difference between the price a 50% DTI automated approval supports and the price this household's take-home budget carries, at September 2026 rates and costs.

The mechanism, stated plainly: a DTI ratio counts exactly two things — gross income, and payments that appear on your credit report. It does not subtract income or payroll tax. It does not subtract retirement contributions, health premiums, commuting, or the maintenance a house generates by existing. And it does not subtract childcare, which the Department of Labor's National Database of Childcare Prices shows costing more than rent in some counties.

So the ratio is not wrong — it is measuring a different thing than you are. It measures whether the loan is likely to be repaid, which is a question about the lender's risk. You are asking whether you can pay it and still fund a retirement account, replace a furnace, and absorb a bad year. Both questions are legitimate; only one is answered by the pre-approval letter.

The cost of confusing them compounds. Take the $521,000 approval and the loan is $468,900:

Taking the maximum approval means about 209,297 dollars of interest paid by year seven and 615,880 over the full thirty years
Cumulative interest on the maximum-approval loan $468,900 — the loan behind the $521,000 price a 50% DTI automated approval supports — at 6.66% for 30 years.

By year seven — roughly the tenure of a first home — that borrower has paid $209,297 in interest and retired $43,818 of principal. Over the full term the interest bill is $615,880, against $325,081 on the $247,500 loan behind the $275,000 house. Nearly $291,000 of extra interest is the price of treating a ceiling as a target.

The down payment and what each tier actually changes

A down payment does four things at once: it shrinks the loan, decides whether you pay mortgage insurance, nudges your rate tier, and drains the cash reserve that protects the purchase. Those pull in opposite directions, which is why "put down as much as possible" is bad advice.

Cash to close runs from 16,500 dollars at 3 percent down to 63,250 at 20 percent, while the payment falls from 2,394 to 1,872 and PMI disappears entirely at 20 percent
Down payment tiers on a $275,000 house 6.66% 30-year fixed; PMI assumed at 1.00%, 0.80%, 0.60% and 0.40% of the loan per year as the down payment rises (actual quotes vary with credit score); closing costs $8,250 (3% of price). PMI-off month is when the scheduled balance reaches 78% of the $275,000 original value, the Homeowners Protection Act automatic-termination point.

At 3% down on the $275,000 house the payment is $2,394 and you keep $47,000 of the cash you would otherwise have spent. At 20% down the payment is $1,872 — $522 a month cheaper — but $63,250 has left the building, and the PMI line that vanished accounts for only $222 of that saving. The other $300 comes from borrowing $46,750 less — which you could equally have achieved by buying a cheaper house.

The threshold worth naming is 20%: below it, conventional loans carry private mortgage insurance, quoted here at 0.6% of the loan a year for a 10%-down borrower and running roughly 0.3%–1.2% by credit score and LTV. FHA is a different bargain — a 1.75% upfront premium plus 0.55% annually, and with less than 10% down that annual premium lasts the life of the loan. What a down payment does across loan types is set out in the entry on down payments.

How PMI comes off, and when

PMI on a conventional loan is temporary by federal statute. The Homeowners Protection Act of 1998 — Public Law 105-216, codified at 12 U.S.C. 4901 — gives borrowers three exits, summarized by the CFPB in its guidance on removing PMI and by the NCUA in its compliance guide to the Act.

You may request cancellation at 80 percent of original value, the servicer must terminate automatically at 78 percent, and it must end at the amortization midpoint regardless of balance
How PMI comes off under the Homeowners Protection Act Homeowners Protection Act of 1998 (Public Law 105-216, 12 U.S.C. 4901 et seq.), as summarized by the CFPB. Applies to borrower-paid PMI on loans closed after July 29, 1999; FHA mortgage insurance follows different rules.

The timing is the part buyers get wrong. Amortization is slow at the front, so 78% of original value is a long way off:

The balance falls only to about 232,109 dollars after five years and 210,656 after ten, which is why PMI takes more than nine years to fall off
Balance on the $247,500 loan (10% down on $275,000) $247,500 at 6.66% for 30 years — the Freddie Mac PMMS 30-year average for the week of August 27, 2026. Principal-and-interest payment $1,590.50.

On the $247,500 loan the balance is still $232,109 after five years and $210,656 after ten. It first touches 80% of the $275,000 original value in month 97 and 78% in month 111 — more than nine years of paying $124 a month, about $13,800 in total. Put 15% down instead and automatic termination arrives in month 76. Rising prices can shortcut this through a reappraisal, but that route runs on investor guidelines rather than the statute, and the FHFA House Price Index recorded just 2.1% national appreciation in the year to 2026 Q2 — not the kind of market that rescues an LTV in a hurry.

Closing costs and the cash that has to survive the closing

Closing costs run 2% to 5% of the loan per the CFPB's home-buying guidance — origination, appraisal, title insurance, recording, prepaid interest, and the first year of homeowners insurance and several months of taxes deposited into escrow. On a $275,000 purchase, 3% is $8,250, and it is due in the same wire as the down payment.

Buying at 275,000 dollars with 10 percent down takes about 54,000 dollars of cash: 35,750 to close and 18,243 of reserve that must still be there afterwards
The cash that has to exist before you shop 10% down ($27,500) plus 3% closing costs ($8,250) on a $275,000 purchase, plus three months of the household's post-purchase outflow of $6,081. Closing costs run 2%–5% of the loan per the CFPB.

The rule people break is spending the reserve. Buying at $275,000 with 10% down takes $35,750 out the door, and what matters most is what is left the next morning. Three months of this household's post-purchase outflow is $18,243; six months is $36,486. A buyer who closes with $2,000 left has bought a countdown — the first uncovered repair goes on a card at 22%, which raises next year's DTI and forecloses the refinance that would have helped. Size that reserve before you shop, with the emergency fund calculator or the reasoning in how big an emergency fund should be.

What a one-point rate move does to your price

At a fixed monthly budget, the rate is a purchasing-power dial, and most buyers have never seen it quantified.

At a fixed 2,567 dollar payment, one point of rate is worth roughly 26,000 to 29,000 dollars of purchase price
What a one-point rate move does to your price Holds the monthly PITI budget fixed at $2,567 (28% of $9,166.67) and solves for the price it buys, at 10% down with 1.1% property tax, $2,470/yr insurance and 0.6% PMI. Baseline 6.66% is the Freddie Mac PMMS 30-year average for the week of August 27, 2026.

Holding PITI at $2,566.67, a move from 6.66% to 7.66% cuts the affordable price by $25,882; a move down to 5.66% raises it by $29,301. Call it $26,000–$29,000 of price per percentage point — roughly 8–9% of purchasing power, or about $7,000 per quarter point. Two consequences follow. Waiting for a better rate is a bet with real stakes in both directions: if prices rise 2.1% a year while you wait, a full point of rate improvement is roughly cancelled out in four years. And the quarter-point you might win by shopping three lenders is worth as much as $7,000 of haggling on the price, for an afternoon's work. Model a specific quote with the mortgage payment calculator.

The maintenance reserve: 1% a year is a floor, not a forecast

The common rule sets aside 1% of the home's value per year for maintenance — $2,750 a year, $229 a month, on a $275,000 house. Treat that as a floor for three reasons.

It is a rule of thumb, not a measured statistic; the Census Bureau's American Housing Survey collects actual improvement and repair spending, and the dispersion around any average is enormous. It scales with value, when the real driver is the cost of components: a roof runs $10,000–$20,000, an HVAC system $7,000–$12,000, a water heater $1,500–$3,000, and none of them charges less because the house was cheap. And it averages quiet years with catastrophic ones — you bank $229 a month for four years, then write a $14,000 check. On a house over about thirty years old, or in a freeze-thaw climate, budget 2%.

Underwriting counts none of this. Not a dollar.

The budget test: what $110,000 actually supports

Now the honest version. Same household, but measured against take-home rather than gross.

After taxes, retirement and health premiums the household nets 6,214 dollars a month, and a 275,000 dollar house leaves it 517 dollars short each month while the car loan is still outstanding
The same household, measured against take-home instead of gross Assumes married filing jointly, 2026 standard deduction $32,200 and the 10%/12% brackets (IRS Rev. Proc. 2025-32), 7.65% payroll tax, a 4% state income tax, 10% pre-tax retirement contributions and $5,400/yr of employee health premiums. Childcare near the DOL National Database of Childcare Prices median for one child in center-based care.

Assume 10% going to retirement, $5,400 a year of employee health premiums, the 2026 married-filing-jointly standard deduction of $32,200 and the 10%/12% brackets from the IRS inflation adjustments for 2026, 7.65% payroll tax and a 4% state income tax. Take-home is $6,214 a month — 68% of the gross that the 28% ratio was computed on.

Against that, the $275,000 house leaves the household $517 short every month while the $650 car loan is still outstanding. At the 28/36 rule's $330,000 they are $956 short. At the lender's $521,000 ceiling the shortfall is $2,481 a month and the question stops being interesting.

Retire the car loan before closing and the arithmetic flips: the $650 comes back, the household clears $275,000 by $133 a month, and $330,000 is still $306 short. That is the recommendation in one line — shop at $275,000, and pay off the car first — and it lands 47% below what the lender would sign.

Stress test the payment before you sign it

A payment that works on the day of closing is not the test. Two shocks are worth pricing explicitly.

The same shock adds 82 dollars a month at 275,000 dollars and 100 at 521,000, but the escrow catch-up year doubles both to 164 and 200
Stress test: an insurance jump and an escrow catch-up Scenario: the homeowners policy renews 30% higher (from $2,470 to $3,211) and the assessor reprices the house, lifting the tax bill 8%. The catch-up year adds the twelve months of escrow shortfall already accrued on top of the new run rate — the standard servicer response.

The escrow shock. Suppose the policy renews 30% higher — well within recent experience — and the assessor reprices the house, lifting the tax bill 8%. PITI rises $82 a month at $275,000. Manageable. But servicers do not just raise the run rate; they also recover the twelve months of shortfall already accrued, spread over the next twelve, so the first year after the analysis costs $164 a month more, not $82. At the $521,000 house the same shock costs $200 a month in the catch-up year. This is the single most common source of "my mortgage payment went up and I have a fixed-rate loan."

The income shock. If the lower earner's $45,000 stops, gross income falls to $5,417 a month. At the $275,000 house the housing ratio jumps to 40% and total DTI to 52% — painful, survivable with a reserve. At the 28/36 rule's $330,000 house it is 47% and 59%. At the $521,000 approval it is 73% and 85%, which is not a budget problem but a sale.

The first payment is 1,374 dollars of interest and 217 of principal; principal does not exceed interest until month 236, nearly twenty years in
Where each payment goes on the $247,500 loan Same loan: $247,500 at 6.66% for 30 years. Interest and principal portions of each scheduled $1,590.50 payment.

And selling early is expensive precisely because equity builds so slowly. The first payment on this loan is $1,374 of interest against $217 of principal — 86% interest — and principal does not exceed interest until month 236. Add 6%–7% of transaction costs to sell, and a forced exit inside five years usually costs more than the down payment. That, not the monthly figure, is the real risk of borrowing to the ceiling. A refinance can reset the payment if rates fall, but it carries its own bill — see what a refinance actually costs.

How to set your own number

Four steps, in order, and the order matters.

  1. Start from take-home, not gross. Subtract taxes, retirement contributions and health premiums first. Everything after that is real money.
  2. Subtract the whole life. Childcare, groceries, transport, medical, the maintenance reserve at 1%–2% of the target price, and a savings line that is not retirement. What remains is your true housing budget.
  3. Convert it to a price at today's rate, remembering that taxes, insurance and PMI added $582 a month on this $275,000 example — about 27% of the payment.
  4. Then check it against the ratios, using the mortgage affordability calculator. If your number is below the 28/36 result, you are done. If it is above, the ratio is telling you something.

Two levers move the answer more than anything else: clearing an installment payment before you apply, which frees the cash and lifts the ratio, and the down payment, which trades the monthly figure against the reserve that protects it. A maximum approval is the highest number a computer would not object to, computed from a version of your finances that has your car loan in it and nothing else.

FAQ

What is the 28/36 rule and is it still used?

It caps housing costs at 28% of gross monthly income and total debt payments at 36%. Lenders no longer underwrite to it — Fannie Mae's automated system allows 50% total DTI and FHA regularly approves above that with documented compensating factors — but it remains a reasonable personal ceiling. On $110,000 of income it allows $2,567 of housing and buys about $330,000 at September 2026 rates.

Why will a lender approve more than I can comfortably pay?

Because DTI counts gross income and only the debts on your credit report. It ignores income and payroll tax, retirement contributions, childcare, health premiums and home maintenance. On the household in this article those omissions total about $3,980 a month — the entire difference between a $521,000 approval and a $275,000 budget.

How much do I need for a down payment and closing costs?

Conventional loans go to 3% down and FHA to 3.5%, so a $275,000 purchase can close with $8,250–$9,625 down plus 2%–5% of the loan in closing costs. At 10% down the total wire is about $35,750. The number that matters more is the reserve left afterwards: three months of your new total outflow, $18,243 in this example.

When does PMI come off?

Under the Homeowners Protection Act you may request cancellation when the scheduled balance reaches 80% of the home's original value, and the servicer must terminate it automatically at 78%. On a 10%-down, 30-year loan at 6.66% that is month 97 and month 111 — over nine years. FHA mortgage insurance follows separate rules and lasts the life of the loan when the down payment is under 10%.

How much does a 1% rate change move what I can buy?

About $26,000–$29,000 of purchase price at a fixed $2,567 monthly budget — roughly 8–9% of purchasing power per percentage point. Going from 6.66% to 7.66% drops the affordable price from $330,173 to $304,291; dropping to 5.66% raises it to $359,474.

Sources

Next entry · No. 5,946Student Loan Repayment Plans: Cheapest Payment vs Cheapest Total

See also