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Mortgage Calculator — Payment, P&I, Taxes, Insurance & PMI

Calculate monthly payments with real-time breakdowns of principal, interest, taxes, insurance, PMI, and amortization.

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Financing & Loan Parameters

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Standard Loan Presets

Fixed-Rate Mortgage Formula

Transparent mathematical methodology explained in plain English.

M = P · [ i(1 + i)ⁿ ] / [ (1 + i)ⁿ – 1 ]

Standard monthly amortized loan formula calculating fixed principal and interest.

Variables Explained:

  • P: Principal loan balance.
  • i: Monthly interest rate (Annual rate / 12).
  • n: Total number of monthly payments (Years × 12).
Real Project Example

$400,000 Home Purchase with 20% Down ($320,000 Loan) at 6.5%

30-year fixed mortgage calculation.

Sample Project Inputs:
Price: $400,000
Down Payment: $80,000 (20%)
Rate: 6.5%
Term: 30 Years
Step-by-Step Calculation:
  1. Loan amount: $320,000.
  2. Monthly P&I: $2,022.62.
  3. Taxes ($4,800/yr): $400/mo.
  4. Insurance ($1,400/yr): $116.67/mo.
  5. Total estimated monthly payment: $2,539.29.
Calculated Answer: $2,539 / month total payment with $408,143 total interest over 30 years.
Verified Calculation Standards E-E-A-T Verified

Formulas calibrated against Standard Compound Amortization Algebraic Models & Truth in Lending (TILA) Formula Standards. Calculations are computed 100% client-side in your browser for absolute data privacy.

Knowledge Base

Frequently Asked Questions: Mortgage Calculator

Click any question below to expand quick answers, formulas, and expert tips.

What does PITI stand for in a mortgage payment?

PITI stands for Principal, Interest, Taxes, and Insurance. These four elements make up your complete monthly housing expense: Principal pays down loan balance, Interest pays the lender, Taxes cover local municipal property taxes held in escrow, and Insurance protects homeowner hazards and flood risk.

How is monthly mortgage interest calculated on a fixed-rate loan?

Monthly interest equals your remaining principal balance multiplied by your annual interest rate divided by 12. In the early years of a mortgage, the majority of each payment covers interest, with principal reduction accelerating over time as shown in an amortization schedule.

What is Private Mortgage Insurance (PMI) and when does it drop off?

PMI is an insurance policy protecting the lender if you put down less than 20% on a conventional loan. Under the Homeowners Protection Act, lenders must automatically cancel PMI once your loan balance reaches 78% of the original home value, or you can request cancellation at 80% LTV.

How much down payment is required to buy a house in 2026?

Conventional loans allow down payments as low as 3% for first-time buyers and 5% for repeat buyers. FHA loans require 3.5% down with a 580 credit score, while VA loans and USDA rural development loans offer 0% down financing for eligible borrowers.

What is the difference between a 15-year and a 30-year fixed mortgage?

A 15-year mortgage has higher monthly payments but lower interest rates (typically 0.5% to 0.75% lower) and cuts total interest paid over the life of the loan by over 60%. A 30-year mortgage provides lower, more manageable monthly payments for maximum cash flow flexibility.

How do extra principal payments shorten loan duration and save interest?

Every dollar paid directly toward principal immediately reduces the balance on which future interest is calculated. Making just one extra mortgage payment per year on a 30-year loan can shave 4 to 6 years off your loan term and save tens of thousands of dollars in interest.

What credit score is needed to qualify for a conventional or FHA loan?

Conventional conforming loans typically require a minimum FICO score of 620 (with 740+ needed for top interest rates and lowest PMI). FHA loans permit scores down to 580 with 3.5% down, or 500–579 with 10% down.

What percentage of gross monthly income should go toward a mortgage payment?

Financial advisors recommend following the 28/36 rule: your monthly housing payment (PITI) should not exceed 28% of your gross monthly income, and your total debt payments (mortgage + car loans + student loans + credit cards) should not exceed 36%.