Mortgage, PITIA & DTI Calculator

Free mortgage calculator with full PITIA breakdown and front/back-end DTI. Enter price, down payment, rate, taxes, insurance, and income to see your true monthly payment.

Loan

Monthly costs (the rest of PITIA)

Qualifying

Total PITIA$2,130/mo
  • P&I $1,730
  • Taxes $290
  • Insurance $110
  • HOA $0

Front-end DTI

25.1%

PITIA ÷ income · target ≤ 28%

Back-end DTI

33.9%

+ debts · target ≤ 43%

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What is Mortgage, PITIA & DTI?

A mortgage payment is more than principal and interest. Lenders qualify you on PITIA — Principal, Interest, Taxes, Insurance, and Association (HOA) dues — the full monthly housing cost. This calculator builds up each piece so the number you plan around is the number the lender actually uses.

It also computes your debt-to-income ratios: front-end DTI (housing cost ÷ gross income) and back-end DTI (housing plus all other debts ÷ income). Those two ratios, more than anything else, decide how much home you qualify for.

Formula

PITIA = Principal & Interest + monthly taxes + insurance + HOA. Front-end DTI = PITIA ÷ gross monthly income. Back-end DTI = (PITIA + other monthly debts) ÷ gross monthly income.

How to read it

  • Front-end DTI compares PITIA to your gross monthly income — most conventional lenders want it at or below ~28%.
  • Back-end DTI adds your other monthly debts (car, cards, student loans); the common ceiling is ~43%, with room higher on some programs.
  • Lowering the payment — a bigger down payment, a lower rate, or a longer term — pulls both ratios down and expands what you qualify for.

Frequently asked questions

What is PITIA?
PITIA stands for Principal, Interest, Taxes, Insurance, and Association (HOA) dues — the complete monthly cost of owning a home. Lenders qualify you on PITIA, not just principal and interest.
What DTI do I need to qualify for a mortgage?
Many conventional loans look for a front-end DTI around 28% or less and a back-end DTI at or below 43%, though FHA and other programs allow higher ratios with compensating factors like reserves or a strong credit score.