Loans
Amortization Calculator
Calculate a fixed monthly loan payment and see how each payment is split between principal and interest over the life of the loan.
How this calculator works
Enter your loan
Add the amount you borrow, the APR, and the term in years or months.
The monthly payment is set
The calculator finds the fixed monthly payment that repays the loan, with interest, over exactly the number of payments in your term.
Each payment covers interest first
Every month, interest is charged on the remaining balance at the APR divided by 12. The rest of the payment reduces the principal.
The last payment clears the balance
Payments are rounded to the cent, so the final payment can differ slightly to bring the balance to exactly $0.
Amortization explained
What is an amortization schedule?
A table of every payment on a loan. For each one, it shows how much goes to interest, how much repays the amount borrowed, and what you still owe afterward.
Principal and interest
Principal is the amount you borrowed. Interest is what the lender charges for it, a percentage of the principal you still owe each month.
Why the interest portion shrinks
The payment stays the same, but each one lowers the balance. A lower balance creates less interest the next month, so a little more of every payment goes to principal.
Example amortization calculation
A $300,000 loan at 6.5% APR over 30 years, calculated the same way as the calculator above.
The monthly payment
Payment equals P times r, divided by 1 minus 1 plus r to the power of negative n.
- P, the amount borrowed
- $300,000.00
- r, the monthly rate
- 6.5% ÷ 12
- n, the number of payments
- 360
- Monthly payment, rounded to the cent
- $1,896.20
The first payment
- Interest
- $300,000.00 × 6.5% ÷ 12 = $1,625.00
- Principal repaid
- $1,896.20 − $1,625.00 = $271.20
- Balance after payment 1
- $299,728.80
Over 30 years, the 360 payments add up to $682,636.71: $300,000.00 of principal and $382,636.71 of interest. Principal becomes the larger part of the payment with payment 233, in year 20.
Assumptions
- This is a general fixed-rate loan calculator, not a mortgage calculator. Property taxes, homeowners insurance, PMI, HOA dues, closing costs, and other fees are not included.
- The APR you enter is used as the loan's interest rate and stays the same for the whole term. If your loan's APR includes fees, entering the interest rate instead gives a closer match to your lender's payment.
- Interest is charged monthly at the APR divided by 12, on the balance at the start of each month.
- One payment is made at the end of each month, starting next month, with no extra or missed payments.
- The scheduled payment is rounded to the nearest cent, so the final payment can differ slightly to bring the balance to exactly $0.
- Lenders may round or calculate interest differently, so their figures can differ slightly. Results are estimates for education, not financial advice.
How Calcora calculates
- Every calculator explains the formula behind its result in plain language.
- Calculators are designed to run in your browser, so your inputs are not sent to Calcora.
- Results help you understand your options. They are not financial advice.
Frequently asked questions
What is amortization?
How is the monthly payment calculated?
Why does more of my payment go to interest at the beginning?
Why can the final payment be slightly different?
Does this calculator include taxes, insurance, or fees?
Does Calcora store my loan information?
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