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Amortization Calculator

Enter loan details to see how each payment breaks down between principal and interest and how extra payments shorten your loan.

Benefits

  • See your full payment schedule by month and year
  • Understand how much interest you pay over the life of the loan
  • Test extra payments to see how they reduce term and interest
  • Plan payoff milestones and tax years for better budgeting

Formula

Monthly payment is calculated with this standard formula:

$$ M = P \times \dfrac{r(1 + r)^{n}}{(1 + r)^{n} - 1} $$
$$ M = P \times \frac{(1+r)^n - 1}{r(1+r)^n} $$

Where:

  • MMM is the monthly payment
  • PPP is the loan principal
  • rrr is the monthly interest rate (annual rate divided by 12)
  • nnn is the total number of payments (loan term in years times 12)

The calculator uses this formula to build a schedule that shows principal and interest for each payment.

Terms

  • Principal: The original loan amount you borrow
  • Interest Rate: The annual rate you pay, shown as a percentage
  • Monthly Payment: Money you pay each month toward principal and interest
  • Loan Term: Number of years to repay the loan
  • Amortization Schedule: A table showing each payment, principal paid, interest paid, and remaining balance

Factors to Consider

  • Extra payments go directly to principal and reduce interest and term
  • Shorter loan terms raise monthly payments but cut total interest
  • Adjustable rates change payment structure over time
  • Taxes and insurance are often paid with your mortgage but may not be included here
  • Refinance resets your amortization schedule and can lower interest cost

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