First-Time Home Buyer Affordability Calculator (28/36)

First-Time Home Buyer Affordability Calculator

Estimate the maximum home price and loan you may qualify for using the classic 28/36 debt-to-income rule, your down payment, mortgage rate, term, property taxes, and insurance.

🎯First-Time Buyer Presets

📝Income & Loan Inputs

Enter yearly or monthly to match the basis above.

Car, student, credit card, and other minimums.

Housing payment as a share of income. Classic 28%.

Housing plus all debts. Classic 36%.

Max home price $0 max loan + down payment
Max loan amount $0 backed out of available P&I
Estimated monthly payment $0 full PITI + HOA
DTI used 0% binding ratio at this price

🔢Affordability Formula Snapshot

28%Front-end cap
36%Back-end cap
PITIPrincipal tax ins
P&ILoan back-out

How the 28/36 Rule Backs Out Your Loan

Monthly incomeAnnual income is divided by 12. Example: $72,000 ÷ 12 = $6,000 gross monthly income.
Front-end roomMax housing payment = 28% × income. At $6,000 that is 0.28 × 6,000 = $1,680 PITI.
Back-end roomMax total debt = 36% × income − monthly debts. At $6,000 with $0 debt that is $2,160.
Available PITITake the smaller of the two caps. min($1,680, $2,160) = $1,680 for housing.
Available P&ISubtract taxes, insurance, and HOA. With $300 escrow: $1,680 − $300 = $1,380 for principal and interest.
Loan back-outLoan = P&I × ((1+r)^n − 1) ÷ (r(1+r)^n), r = APR÷12, n = months. At 6.5% / 30yr this gives about $218,000.
Max home priceMax price = max loan + down payment. Add your cash down to the qualifying loan amount.

📋The 28/36 Rule Explained

RatioLimitWhat It CoversAt $6,000/moWhy Lenders Use It
Front-end (housing)28%PITI: principal, interest, tax, insurance$1,680Keeps the house payment affordable
Back-end (total)36%Housing plus all other monthly debt$2,160Leaves room for life and savings
FHA front-end31%PITI plus mortgage insurance$1,860More flexible for first-time buyers
FHA back-end43%Housing plus all debts$2,580Allows higher debt with compensating factors
Stretch limit40% / 45%Aggressive housing and total debt$2,700Possible but leaves a thin cushion

💵Affordability by Income (28% Rule, No Debt)

Annual IncomeMonthly28% PITI CapP&I After $350 EscrowEst. Max Loan+ 10% Down Price
$40,000$3,333$933$583$92,200$102,400
$55,000$4,583$1,283$933$147,600$164,000
$72,000$6,000$1,680$1,330$210,400$233,800
$90,000$7,500$2,100$1,750$276,800$307,600
$110,000$9,167$2,567$2,217$350,600$389,600
$140,000$11,667$3,267$2,917$461,400$512,600
$175,000$14,583$4,083$3,733$590,400$656,000

Estimated at 6.5% APR over 30 years. Actual figures shift with rate, term, taxes, insurance, and other debts.

🏦Down Payment Programs at a Glance

ProgramMin DownCredit GuideMortgage InsuranceBest For
FHA loan3.5%580+ typicalUpfront + monthly MIPLower credit, small down
Conventional 973%620+ typicalPMI until 20% equityGood credit, low down
Conventional 20%20%620+ typicalNoneAvoiding PMI
VA loan0%Lender setNone (funding fee)Veterans and service members
USDA loan0%640+ typicalGuarantee feeEligible rural areas

🗂Income vs Max Price Comparison Grid

Monthly IncomeMonthly DebtsFront Cap (28%)Back Room (36%)Max PITIEst. Max LoanMax Price + $20k Down
$4,000$0$1,120$1,440$1,120$121,700$141,700
$4,000$500$1,120$940$940$93,300$113,300
$6,000$0$1,680$2,160$1,680$210,400$230,400
$6,000$600$1,680$1,560$1,560$191,400$211,400
$8,000$400$2,240$2,480$2,240$298,900$318,900
$10,000$700$2,800$2,900$2,800$387,400$407,400
$12,000$1,000$3,360$3,320$3,320$469,700$489,700
$15,000$1,200$4,200$4,200$4,200$608,900$628,900

Assumes $350/mo taxes and insurance, 6.5% APR, 30-year term. The binding cap is whichever ratio is smaller after debts.

📊DTI Limits by Loan Type

Loan TypeFront-End DTIBack-End DTINotes
Conventional (classic)28%36%The traditional 28/36 benchmark
Conventional (max)Often waivedUp to 45% to 50%With strong credit and reserves
FHA31%43% (up to 50%)Flexible with compensating factors
VANo hard front41% guidelineResidual income test applies
USDA29%41%Rural eligibility required

💡First-Time Buyer Tips

Keep back-end DTI in check: Lenders like total debt under 36%, though FHA can stretch to 43% or higher. Paying down a car or card loan frees up housing room and can raise your max price fast.
Down payment boosts buying power: Every dollar of down payment adds directly to your max home price on top of the loan you qualify for, and a larger down can also trim or remove monthly mortgage insurance.

This is an educational affordability estimate based on the 28/36 debt-to-income framework, not a loan preapproval or lending offer. Actual qualifying amounts depend on credit, reserves, mortgage insurance, and full lender underwriting.

When you begin your house hunt, you’re typically armed with a budget, and that budget might have been pulled out of thin air. You saw a picture on Zillow, fell in love, and forgot about the math. “It has a nice kitchen.” Yep. But how are you going to pay for that nice kitchen? Your heart wants one thing; your wallet can afford anotherthing.

That’s where this tool reverses the process: Instead of shopping for homes based off an imaginary number (the price), you’ll begin with a real-life number (your income/debts). In other words, you’ll be forced to consider what you can afford, instead of what you WANT. And I think that’s a great idea.

How to Find Out What House You Can Afford

This all hinges on the long-standing 28/36 rule: a decades-old metric that lenders have relied upon for decades as a gauge for how risky it is for you to borrow money. Your housing costs shouldnt exceed 28 percent of your gross monthly income, i.e., your principal & interest + taxes & insurance payments. Your total debt payments should not exceeds 36 percent of your gross monthly income, i.e., the sum of your mortgage payment PLUS all other recurring expenses, such as student loans, auto payments, credit card bills, etc.

Why? Because lenders has witnessed firsthand the consequences of borrowers pushing past those boundaries. When your housing-related costs is greater than one-third of your paychecks, defaults increases significantly.

But here’s what most buyers overlook: Insurance and taxes consume a large chunk of that 28% limit. Your mortgage might seem reasonable at $1,600 per month … until you learn half goes to homeowners insurance and property taxes. Neither of these payments reduces your mortgage balance, but both rob your bank account just the same.

The calculator factors this in when calculating how much “principal + interest” you can handle. It estimates your insurance and taxes (then deducts them), then sees if you’re left with enough money to pay a mortgage. Why? Because that number represents the actual loan size you qualify for. And that figure is usually far smaller than a back-of-the-napkin guess using only monthly payment.

In this scenario, your down payment serves a different purpose: It’s an immediate way to nudge your max home purchase price higher. In other words, if your debt-to-income ratio allow you to take on X dollars of a loan, then any extra money you save adds up, it can go toward additional housing costs. By saving up a bigger down payment, you can get rid of private mortgage insurance, which will free up some breathing room for your principal + interest payments.

This is yet another reason it makes sense to save aggressively prior to purchasing; saving more often yields better results then trying to maximize every dollar of borrowing power. Planning ahead puts you closer to your target

The tool also accounts for interest rates, which add another wrinkle into the equation. If your income is fixed, an increase in interest rates will reduce your buying power. The monthly payments on your desired house balance goes up by a few hundred bucks, knocking tens of thousands of dollars from the amount you qualify to borrow. In high-rate environments, it’s less about timing and more about being patient. It may be worth waiting for rates to fall, but you’ll often get a bigger boost by paying down debt or improving your credit score.

Reducing your non-housing debts increase your 36% back-end limit. That creates additional wiggle-room for a mortgage payment (without altering your salary). While debt-to-income ratios appears as hard lines on a piece of paper, they change in real-life scenarios. One moment you’re at a comfortable 30% DTI, and the next day you lose your job or have an emergency repair. Before long, your comfortable debt ratio becomes a stressful one.

To be safe, err on the side of caution when approaching max debt. Don’t reach the thresholds recommended by the debt-to-income ratio calculator. Having a loan qualify you doesn’t mean you’ll also be able to afford it comfortabley. You want a home that fits into your current life. Leave room for the unexpected challenges of being a homeowner.

Begin with the numbers, and follow your lifestyle for the finishing touch. You should of planned ahead.

First-Time Home Buyer Affordability Calculator (28/36)