How Affordability Is Calculated
The National Association of Realtors' Housing Affordability Index uses this calculation: (Qualifying Income ÷ Median Family Income) × 100, where qualifying income is the income needed to make mortgage payments of 25% of gross monthly income on a median-priced home with a 20% down payment at current mortgage rates. An index of 150 means median family income is 150% of what's needed to buy — 50% more income than required, indicating a very affordable market.
Let's calculate for a specific market. Median home price: $380,000. Down payment (20%): $76,000. Loan amount: $304,000. 30-year mortgage at 6.8%: monthly payment = $304,000 × 0.006573 = $1,998. To qualify at 25% of gross income, needed monthly gross income = $1,998 ÷ 0.25 = $7,992. Needed annual income = $7,992 × 12 = $95,904. If median family income in that market is $78,000: index = (78,000 ÷ 95,904) × 100 = 81.3. Median families cannot afford the median home.
This calculation illustrates why affordability collapsed in many markets when mortgage rates rose from under 3% in 2021 to above 7% in 2023-2024. The same $380,000 home at 3% required a $1,282/month payment and $61,534 qualifying income. At 7%, the same home required $2,022/month and $97,065 qualifying income. The required income increased by 58% while wages grew perhaps 15-20%. Affordability deteriorated dramatically without any change in home prices.
Personal Affordability: Your Individual Calculation
National affordability indices describe market conditions, but your personal affordability depends on your specific income, debts, credit score, down payment, and risk tolerance. The 28/36 guideline is the traditional framework: housing costs should be no more than 28% of gross monthly income, and total debt payments should not exceed 36% of gross monthly income.
Gross monthly income of $8,500: maximum PITI (principal, interest, taxes, insurance) = $8,500 × 0.28 = $2,380. Maximum total debt payments = $8,500 × 0.36 = $3,060. If existing debt payments (student loans, car) = $650/month, remaining for housing = $3,060 - $650 = $2,410. The binding constraint is the 28% housing ratio: $2,380/month maximum PITI.
To find the maximum home price from a maximum PITI: subtract estimated property taxes and insurance from the PITI budget to get the available mortgage payment. Property taxes average 1.1% annually of home value; homeowner's insurance averages 0.5-1% annually. For a $400,000 home: annual taxes ≈ $4,400 = $367/month; annual insurance ≈ $1,800 = $150/month. Combined = $517/month. Available for principal and interest: $2,380 - $517 = $1,863. Maximum loan at 6.8% over 30 years: $1,863 ÷ 0.006573 = $283,456. With 20% down, maximum home price = $283,456 ÷ 0.8 = $354,320.
The Down Payment Trap in Affordability Calculations
Monthly payment calculations are one dimension of affordability; down payment accumulation is another that the payment-focused discussion often obscures. A median home price of $400,000 requires $80,000 for a 20% down payment — plus closing costs of 2-5% ($8,000-$20,000). Total cash needed at closing: $88,000-$100,000. For a household saving $1,200/month toward a home purchase, reaching this target takes 73-83 months — 6 to 7 years of disciplined saving.
Lower down payments are possible (3-5% for FHA and conventional loans, 0% for VA loans), but they change the affordability math. FHA loans with 3.5% down on a $400,000 home: down payment $14,000, loan amount $386,000. Monthly principal and interest at 6.8% = $2,538/month. But FHA requires mortgage insurance premium (MIP): annual MIP of 0.85% = $3,281/year = $273/month. Total P&I + MIP = $2,811/month. The lower down payment increases the monthly payment by more than a simple calculation suggests.
Conventional loans with less than 20% down require PMI (private mortgage insurance) at 0.2-2% annually. On $380,000 loan at 0.8% PMI: $3,040/year = $253/month. PMI typically removes when equity reaches 20%. For someone who puts down 10% and the home appreciates, PMI removal might happen within 3-7 years. For someone who puts down 3-5%, PMI removal could take a decade.