Home Loan Calculator: Calculation and Examples
Estimate a monthly housing payment including loan principal and interest, property tax, home insurance, and HOA fees.
Understanding the calculation
The loan amount equals the home price minus the down payment. Annual property tax and insurance are divided by 12; monthly HOA fees are then added. Mortgage insurance, closing costs, and changes in expenses are excluded.
Home Loan formula
Monthly housing estimate = loan principal-and-interest payment + annual property tax ÷ 12 + annual insurance ÷ 12 + monthly HOA fees.
Worked example
For a $350,000 home with $70,000 down, $280,000 is financed. Annual taxes of $3,600 and insurance of $1,200 add $400 per month before HOA fees.
Assumptions and interpretation
Repayment estimates use fixed interest and equal monthly periods. No fees, rate changes, new borrowing, missed payments, or penalties are added. Interest accrues on the remaining balance, and the last modeled payment is capped at the amount owed.
Displayed amounts are rounded; intermediate calculations use unrounded values. Compare the result with the terms and payment schedule in your agreement. For background on the calculation, read the CFPB explanation of principal and interest payments.
Frequently asked questions
What happens when the interest rate is zero?
No interest is added. Payments reduce principal directly, so a fixed term divides principal equally and a fixed payment determines how many months repayment takes.
Why might the actual result differ?
Payment timing, daily interest accrual, contract rounding, fees, and changing rates can differ from the monthly estimate. Check the lender or issuer’s agreement for the method used.
What inputs should I enter?
Use amounts and rates from the relevant agreement, with time periods matching the labels. Enter zero for an optional amount that does not apply.