Mortgage Calculator
Free Mortgage Calculator & Payment Formula Tool. Compute your exact monthly mortgage payment formula with principal, interest, property taxes, homeowners insurance, HOA fees, and PMI (Private Mortgage Insurance). Includes real-time amortization charts and extra payment payoff estimates.
Mortgage & Payment Estimator
Principal, interest, taxes, insurance & PMI breakdown
Property & Loan Parameters
Home Mortgage Mechanics: P&I, Amortization Schedules & Escrow Impounds
A residential mortgage represents the largest single financial commitment most households undertake. While real estate listings highlight sticker purchase prices, the true monthly cost of homeownership is governed by four interconnected components collectively known as PITI: Principal, Interest, Taxes, and Insurance.
The Four Pillars of PITI (Principal, Interest, Taxes, Insurance)
Principal: The capital borrowed to purchase the home, repaid systematically over a 15, 20, or 30-year amortizing term.
Interest: The lender's fee for advancing capital. Calculated monthly against the declining outstanding principal balance.
Property Taxes: County and municipal ad valorem taxes assessed annually based on local tax millage rates and municipal property assessments.
Homeowners Hazard Insurance & PMI: Property hazard insurance protecting against fire and structural damage, paired with Private Mortgage Insurance (PMI) if less than 20% equity was put down at closing.
Escrow Accounts & Impound Reserves
Most mortgage servicers require an escrow account (impound account) where 1/12th of your annual property taxes and homeowners insurance premiums are bundled into your monthly mortgage payment. The servicer holds these funds in trust and pays your municipal tax collectors and insurance carriers directly when bills come due.
Step-by-Step Instructions
Input Home Price & Down Payment
Enter purchase price, down payment in dollars or percentage (e.g. 20% down to avoid PMI), and loan term (15 or 30 years fixed).
Specify Interest Rate & Loan Program
Enter annual mortgage interest rate (e.g. 6.50% APR) and select Conventional, FHA, VA, or USDA loan type.
Include Property Taxes, Home Insurance & HOA
Input annual property tax rates (typically 0.8%–2.0%), homeowner's insurance policy, private mortgage insurance (PMI), and monthly HOA dues.
Review PITI Monthly Breakdown & Amortization Schedule
Inspect your complete PITI payment (Principal, Interest, Taxes, Insurance) alongside lifetime interest totals and yearly amortization tables.
Key Features & Capabilities
- Standard financial compounding formula calculating monthly Principal & Interest (`P&I = P * [r(1+r)^n] / [(1+r)^n - 1]`)
- Comprehensive PITI housing payment breakdown: Principal, Interest, Property Taxes, Hazard Home Insurance, PMI, and HOA fees
- Private Mortgage Insurance (PMI) auto-cancellation calculator: determines exact month when loan-to-value (LTV) reaches 78%–80%
- Extra payments and early payoff simulator: models bi-weekly payments and additional monthly principal curtailments
- Full 30-year and 15-year annual and monthly amortization schedule table with exportable CSV data
- Interactive SVG payment breakdown donut chart and loan balance payoff curve
Frequently Asked Questions
What is the mathematical formula used to calculate a fixed-rate monthly mortgage payment?
The standard monthly mortgage payment formula is: `M = P * [r(1+r)^n] / [(1+r)^n - 1]`, where `M` is monthly principal and interest payment, `P` is principal loan balance, `r` is monthly interest rate (`annual interest rate / 12 / 100`), and `n` is total number of monthly payments (e.g. 360 months for a 30-year loan).
What does the PITI acronym mean in mortgage lending?
PITI represents the four components of a total monthly housing payment: **P**rincipal (loan balance repayment), **I**nterest (lender borrowing fee), **T**axes (local county property taxes held in escrow), and **I**nsurance (homeowners hazard insurance plus Private Mortgage Insurance if down payment is under 20%).
How much faster do you pay off a 30-year mortgage by making bi-weekly payments?
Making bi-weekly payments (half your monthly payment every 2 weeks) results in 26 half-payments per year, which equals **13 full monthly payments annually** instead of 12. This extra payment applied directly to principal shortens a 30-year mortgage by approximately **4 to 6 years** and saves tens of thousands in interest.
When does Private Mortgage Insurance (PMI) automatically cancel?
Under the federal Homeowners Protection Act of 1998, lenders are legally required to automatically cancel PMI on conventional loans when the principal balance is scheduled to reach **78% Loan-to-Value (LTV)** (22% equity), provided payments are current. Borrowers can request manual cancellation once equity reaches 80%.
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