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Mortgage payment calculator

The full monthly check โ€” principal, interest, taxes, insurance, PMI, and HOA. We show each line so you can see where the payment actually goes.

Loan details

$450,000
10% ยท $45,000
6.38%
30 yr

Ownership costs

1.10%
$1,800/yr
$0/mo
PMI is included. Down payments under 20% trigger private mortgage insurance โ€” typically 0.5%/yr of the loan. You can usually drop it at 78% LTV.

Monthly payment ยท PITI

$3,259

Loan of $405,000 ยท down payment $45,000 ยท lifetime interest $505,079

Principal & interest

$2,528

Property taxes

$413

1.10% of home value / yr

Homeowners insurance

$150

$1,800 / yr

PMI (mortgage insurance)

$169

Drops at 78% LTV

Show the mathExpand โ†’

Monthly P&I uses the standard amortization formula:

M = L ยท r(1 + r)n / ((1 + r)n โˆ’ 1)

L = loan amount ยท r = monthly rate (annual รท 12) ยท n = total months (years ร— 12).

Taxes = price ร— property-tax-rate รท 12. Insurance = annual รท 12. PMI applies when down payment is under 20%, estimated at 0.5%/yr of the loan.

Real quotes include title, escrow, and origination fees we don't model here โ€” shop 3 lenders and compare the Loan Estimate line-by-line.

How we built this tool

How this calculator runs the math

Step 1

Full PITI, not just P&I

Most calculators stop at principal & interest. We add property taxes, homeowners insurance, PMI (when applicable), and HOA so the monthly number reflects real life.

Step 2

PMI fires below 20% down

Standard conforming loans. PMI is estimated at 0.5% of the loan / year and drops automatically at 78% LTV under federal law.

Step 3

Doesn't include closing costs

Title, escrow, origination, and appraisal are one-time โ€” they belong in the refinance break-even calculator, not the monthly payment.