How a mortgage payment is actually built
People talk about “the mortgage payment” as one number, but it is really four or five numbers stacked together. Lenders call the stack PITI: principal, interest, taxes and insurance. Add private mortgage insurance and HOA dues and you have the amount that actually leaves your account each month.
- Principal — the slice that reduces what you owe.
- Interest — the lender's fee, calculated on the balance that is still outstanding.
- Property tax — usually collected monthly into an escrow account and paid to your county once or twice a year.
- Homeowners insurance — also escrowed in most cases.
- PMI — required by most conventional lenders when you put down less than 20%. Budget 0.4%–1.2% of the loan per year.
- HOA dues — never escrowed, but very real.
A quote of “$2,100 a month” from a lender is often only principal and interest. The number in this calculator is the full stack, which is the one that matters for your budget.
The formula behind the number
This is the standard amortizing-loan formula. It solves for the fixed payment that reduces the balance to exactly zero after n months. Because interest is charged on the remaining balance, early payments are mostly interest and later payments are mostly principal — which is why the amortization table above looks so lopsided in year one.
Worked example
A $420,000 home with 20% down means a $336,000 loan. At 6.5% over 30 years, i = 0.0054167 and n = 360, giving a principal-and-interest payment of about $2,124. Add $400 of property tax and $150 of insurance per month and the real cost is roughly $2,674.
How much house can you actually afford?
Two rules of thumb do most of the work:
- The 28% rule — total housing cost should stay under 28% of gross monthly income.
- The 36% rule — all debt payments together (housing, cars, student loans, minimum card payments) should stay under 36%. Lenders call this your debt-to-income ratio, and many will stretch to 43% or higher.
Being approved for a number is not the same as that number being wise. Approval maths ignores childcare, retirement contributions, maintenance (budget 1% of the home's value per year) and the fact that your income might not be perfectly stable.
Try setting your extra monthly payment to $200 above. On a typical 30-year loan that alone can cut four to six years off the term and tens of thousands off the interest.