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How to Calculate Mortgage Payments: Amortization & PITI

Calculate your exact monthly mortgage payment including principal, interest, property taxes, home insurance, and PMI.

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Interactive Mortgage Calculator

What will my mortgage payment really be?

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Enter your financial parameters below to generate an instant, 100% deterministic breakdown with sensitivity analysis and scenario comparison.

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Mathematical Formulation & Methodology

Decidely executes pure deterministic client-side mathematics. Unlike probabilistic AI models that guess numerical results, every calculation is calculated using standard financial accounting equations:

M = P × [ r(1 + r)^n ] ÷ [ (1 + r)^n - 1 ] + (Property Taxes ÷ 12) + (Insurance ÷ 12) + PMI + HOA fees.

Baseline Assumptions & Standards

  • Fixed-rate conventional loan term of 15 or 30 years
  • Private Mortgage Insurance (PMI) applied automatically if down payment is below 20%
  • Property taxes and insurance escrowed into the regular monthly payment

Worked Example: $400,000 home with 10% down at 6.75% interest

First-time homebuyer purchasing a median single-family home.

Example Inputs

Home Price $400,000
Down Payment 10% ($40,000)
Interest Rate 6.75%
Term 30 years

Calculated Output

Principal & Interest $2,335/mo
Property Taxes $400/mo
PMI $225/mo
Total Payment $3,060/mo
Key Financial Takeaway:

While the raw loan P&I is $2,335, the true monthly housing cost with taxes, insurance, and PMI reaches $3,060.

Frequently Asked Questions

What is Private Mortgage Insurance (PMI)?

PMI is insurance that protects the lender in case you default. It is usually required if you put down less than 20% on a conventional loan and can be cancelled once you reach 20% equity.

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

A 30-year mortgage provides a lower mandatory payment, providing budget security. A 15-year mortgage comes with lower interest rates and saves hundreds of thousands in interest, but requires higher monthly cash flow.

What are closing costs and how much should I budget?

Closing costs are lender and third-party fees required to finalize the loan (appraisal, title insurance, loan origination). They generally range from 2% to 5% of the total loan amount.

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