Mortgage Calculator
Estimate your complete monthly mortgage payment including principal, interest, property taxes, homeowners insurance, HOA dues, and PMI.
Loan balance: $320,000.00 after $80,000.00 down.
Did this calculation save you time?
Student ProjectHi! I'm a student developer building Calculat in my spare time. I was tired of searching for basic math tools and having to click through 10 spammy popups, loan ads, and cookie trackers.
I keep this website 100% free, private, and ad-free. If this helped you with your homework, project, or finances today, bookmarking this page or telling a friend helps me keep building more free tools!
What Is a Mortgage Calculator?
A mortgage calculator estimates the full cost of homeownership by calculating the monthly PITI (Principal, Interest, Taxes, and Insurance) payment. It accounts for down payment percentages, private mortgage insurance (PMI), and homeowners association fees.
How to Use This Calculator
- Input the purchase Home Price.
- Enter your Down Payment (as a percentage or dollar amount).
- Select the Loan Term (30-year fixed, 15-year fixed, etc.).
- Enter the quoted mortgage Interest Rate.
- Add annual property tax rate (national average is ~1.2%) and homeowners insurance.
- Review the complete monthly payment breakdown and total interest paid over the life of the mortgage.
Mortgage Principal and Interest Formula
M = P \left[ \frac{r(1+r)^n}{(1+r)^n - 1} \right] + \text{Taxes} + \text{Insurance} + \text{HOA} + \text{PMI}Principal & interest (P&I) is calculated using standard amortization mathematics, then monthly property taxes, homeowners hazard insurance, HOA dues, and PMI are added to form the complete monthly payment.
Worked Example
Scenario: A $400,000 home purchase with a 20% down payment ($80,000), 30-year fixed loan at 6.5%, 1.2% property tax, and $1,200 annual insurance.
Loan Amount: $400,000 - $80,000 = $320,000.
Monthly Principal & Interest: $2,022.62.
Monthly Property Taxes: ($400,000 × 0.012) / 12 = $400.00.
Monthly Insurance: $1,200 / 12 = $100.00.
PMI: $0 (because down payment is ≥ 20%).
Tips & Key Notes
- Putting down at least 20% eliminates Private Mortgage Insurance (PMI), potentially saving $100–$300 per month.
- A 15-year fixed mortgage usually offers lower interest rates and cuts total interest paid by more than 50% compared to a 30-year loan.
Frequently Asked Questions
What is PMI and when does it cancel?
Private Mortgage Insurance protects the lender if a borrower defaults. Lenders are required under the Homeowners Protection Act to cancel PMI automatically once loan-to-value drops to 78%.
What is included in an escrow account?
Most lenders collect monthly estimates for annual property taxes and homeowners insurance along with your principal and interest, holding these funds in escrow to pay the bills when due.
Related Calculators
Explore similar toolsLoan Calculator
Calculate monthly loan payments, total interest paid, and full loan amortization schedules for personal, auto, or business loans.
Compound Interest Calculator
Calculate investment growth over time with compound interest, regular monthly additions, and detailed yearly amortization schedules.
Percentage Calculator
Quickly calculate percentages, find what percentage one number is of another, and compute percent changes.