About Mortgage Calculator
Our online mortgage calculator computes your monthly mortgage payment under fixed-rate loans (e.g. 15-year, 20-year, 30-year terms) and details your total lifetime interest burden.
Mathematical Formula & Calculation Method
M = P × [r(1 + r)^n] / [(1 + r)^n - 1] + Monthly Tax + Monthly Insurance
P is the loan amount after down payment, r is the monthly interest rate, and n is the total number of monthly payments.
| Variable | Definition / Parameter | Unit |
|---|---|---|
Home Price |
Total purchase price of the property | Currency |
Down Payment |
Upfront cash paid toward the purchase | Currency / % |
Loan Amount (P) |
Home Price minus Down Payment | Currency |
Interest Rate |
Annual fixed mortgage rate | % / Year |
Loan Term (n) |
Mortgage duration (e.g., 30 years = 360 months) | Years / Months |
Step-by-Step Calculation Examples
$400,000 Home Purchase with 20% Down ($320,000 Loan at 6.75% for 30 Years)
Scenario: Purchasing a $400,000 house with $80,000 down payment on a 30-year fixed loan.
- Home Price: $400,000
- Down Payment: $80,000 (20%)
- Loan Amount: $320,000
- Rate: 6.75%
- Term: 30 Years (360 Months)
Monthly P&I = $2,075.48 | Total 360 payments = $747,172.80
How to Use the Mortgage Calculator
- Enter the Home Price and Down Payment.
- Enter the mortgage Interest Rate % and Loan Term (years).
- Optionally enter annual Property Tax and Home Insurance amounts.
- View your estimated monthly payment and complete amortization summary.
Common Real-World Use Cases
First-Time Homebuyers
Determine maximum affordable home price based on target monthly budget.
Mortgage Refinancing
Evaluate monthly payment reductions and interest savings when refinancing to a lower interest rate.
Key Features & Capabilities
- Full Principal, Interest, Tax, and Insurance (PITI) support.
- Side-by-side comparison between 15-year and 30-year terms.
- Calculates total lifetime interest payable.
Technical Architecture & Privacy
Mortgage Calculator is engineered with a focus on performance, mathematical accuracy, and maximum user privacy. Operating entirely in-browser on the client side, all processing takes place locally within your browser's JavaScript engine. None of your financial numbers, text entries, or private inputs are ever transmitted to or stored on remote servers.