US Mortgage Calculator

US Mortgage Calculator | PITI, PMI & Extra Payments Tool
US Mortgage Calculator

US Mortgage Calculator

Home Price $450,000
Down Payment $90,000 (20%)
Loan Term 30 years
Interest Rate 4.5%
Property Tax 1.1% ($4,950/year)
Home Insurance $1,500/year
HOA Fees $0/month
Extra Monthly Payment $0/month

Monthly Payment Breakdown

$2,280
Principal & Interest $1,646
Property Tax $413
Home Insurance $125
HOA Fees $0
PMI $0
Total Monthly Payment $2,280
Extra Payment Savings
$0
No extra payment specified

Engineering Formulas & Notes

Monthly Mortgage Payment Formula (P&I)

M = P × [r(1+r)n] / [(1+r)n - 1]

M = Monthly principal & interest payment

P = Principal loan amount (Home Price - Down Payment)

r = Monthly interest rate (Annual rate ÷ 12)

n = Total number of monthly payments (Loan term in years × 12)

PITI Calculation: The total monthly mortgage payment is the sum of Principal, Interest, Taxes, and Insurance (PITI), plus any HOA fees and PMI if applicable.

PMI Logic: Private Mortgage Insurance (PMI) is automatically calculated at 0.5% of the loan amount annually ONLY when the down payment is less than 20% of the home price.

Frequently Asked Questions

What is PITI in a mortgage payment?

PITI stands for Principal, Interest, Taxes, and Insurance—the four components of a typical monthly mortgage payment:

  • Principal: The portion that reduces your loan balance
  • Interest: The cost of borrowing money
  • Taxes: Property taxes assessed by your local government
  • Insurance: Homeowners insurance to protect against property damage

Many lenders also include HOA fees and PMI (if applicable) in the total monthly payment calculation.

What is PMI and how can I avoid it?

PMI (Private Mortgage Insurance) is required by lenders when your down payment is less than 20% of the home's purchase price. It protects the lender if you default on the loan.

To avoid PMI:

  • Make a down payment of 20% or more
  • Consider a piggyback loan (80-10-10 structure)
  • Use lender-paid mortgage insurance (higher interest rate)
  • Look for lender-specific programs that don't require PMI

Under the Homeowners Protection Act, PMI must automatically terminate when your loan balance reaches 78% of the original home value.

How do extra payments affect my loan?

Extra payments directly reduce your principal balance, which has a compounding effect on interest savings:

  • Interest Savings: Every dollar applied to principal reduces future interest calculations
  • Loan Term Reduction: Extra payments can shave years off your mortgage
  • Equity Building: You build home equity faster with additional payments

Example: On a $300,000 loan at 4% for 30 years, an extra $100/month would save ~$27,000 in interest and pay off the loan 4 years early.

Always specify that extra payments should be applied to principal reduction when sending them to your lender.

Should I choose a 15-year or 30-year mortgage?

The choice depends on your financial goals and cash flow:

  • 15-Year Mortgage: Higher monthly payments but significantly less interest paid over the life of the loan (typically 1/3 to 1/2 the interest of a 30-year loan)
  • 30-Year Mortgage: Lower monthly payments providing more cash flow flexibility, but you pay more interest over time

Strategy: Some homeowners choose a 30-year mortgage but make extra payments when possible. This provides flexibility during tight financial months while still allowing accelerated payoff.

Consider your job stability, other financial goals, and risk tolerance when deciding.

How are property taxes calculated and paid?

Property taxes are typically calculated as a percentage of your home's assessed value (not purchase price). The assessment is done by your local county assessor.

Payment Methods:

  • Escrow Account: Most lenders collect 1/12 of the annual tax bill with each mortgage payment, then pay the taxes on your behalf when due
  • Direct Payment: You pay the tax authority directly, usually in semi-annual or annual installments

Property tax rates vary widely by location, from under 0.5% in some states to over 2% in others. Always research local rates before purchasing.

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