Mortgage Calculator
Estimate your mortgage payments including principal, interest, taxes and insurance. Free online Mortgage Calculator — instant and accurate results, no signup.
Derivation
- ├── 01Given
home = $400,000, down payment = $80,000, rate = 7.0%, term = 30 yrs - ├── 02Loan principal
$400,000 − $80,000 = $320,000 - ├── 03Formula
M = P · r / (1 − (1 + r)^(−n)) - ├── 04Monthly rate r
7.0% / 12 = 0.005833 - ├── 05Months n
30 × 12 = 360 - ├── 06P&I payment$2,128.97
- ├── 07Monthly tax
$3,600 / 12 = $300 - ├── 08Monthly insurance
$1,200 / 12 = $100 - ├── 09Full PITI (P+I+T+I)$2,528.97
- └── 10Total interest over loan$446,428.47
Adding just $100/mo to a 30-year $300k loan at 7% saves ~$67,000 in interest and pays it off 4 years early.
Understanding the Mortgage Calculator
A mortgage calculator helps you estimate your monthly home-loan payment and how much interest you’ll pay over the life of the loan. It combines your loan amount, interest rate, term and optional escrow items (taxes, insurance) into one clear number so you can budget and compare offers.
Quick calculators for the math that shouldn’t need a notepad — instant, accurate, private to your browser. The Mortgage Calculator sits in that toolkit — it estimate your mortgage payments including principal, interest, taxes and insurance. Enter your numbers above and the result updates instantly; every step of the math is shown in the Derivation panel so you can see exactly how the answer was reached.
How it’s calculated
Where
- M
- Monthly principal & interest payment
- P
- Loan principal (amount financed)
- r
- Monthly interest rate (annual rate ÷ 12)
- n
- Total number of monthly payments (years × 12)
Step-by-step walkthrough
You buy a $400,000 home with 20% down, a 30-year fixed mortgage at 6.5% APR.
- 01Loan amount P = $400,000 − $80,000 = $320,000
- 02Monthly rate r = 6.5% ÷ 12 = 0.005417
- 03Total payments n = 30 × 12 = 360
- 04Plug into formula: M = 320,000 × [0.005417 × (1.005417)³⁶⁰] / [(1.005417)³⁶⁰ − 1]
- 05Your monthly P&I payment ≈ $2,023
Frequently asked questions
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