Loan Amortization Calculator
Last updated: October 15, 2026
Estimate monthly payment, total interest, and remaining balance after a selected number of years.
Monthly payment
—
- Total interest over full term: —
- Remaining balance after elapsed years: —
On this page
Quick summary: Estimate monthly payment, total interest, and remaining balance after a selected number of years.
Read the complete guide
Updated reference sections in this guide are in English.
Guide language: English. Updated October 15, 2026.
What this calculator does
Calculate a fixed monthly loan payment and the remaining balance after an elapsed number of years.
How to use the calculator
Use the inputs and units named in this form. Select Calculate after changing the values.
How the calculation works
Payment uses M = P x r / [1 - (1 + r)^(-n)], where r is the annual percentage divided by 1200 and n is term years x 12. After k monthly payments, remaining balance is M x [1 - (1 + r)^(-(n-k))] / r. At zero interest, payment is P/n and balance is P x (n-k)/n.
Worked example
For a 12,000 loan at zero interest over two years, monthly payment is 500. After one year, 12 payments have been made and 6,000 remains. Elapsed time at or beyond the full term gives a zero remaining balance.
How to interpret the result
Compare the result with the assumptions and units shown above. The calculation uses the values entered into this page.
Assumptions and limitations
This tool assumes scheduled payments and a fixed rate. It does not add extra principal, missed payments, late fees, daily interest conventions or insurance. Fractional years represent an equivalent elapsed monthly period rather than a dated payment history.
Common mistakes
Check the units and time period before calculating. An error message means the result cannot be calculated from the current inputs.
Privacy
The calculation runs in your browser. This form needs the numerical inputs shown, not names, account numbers or passwords.
Frequently asked questions
Can the elapsed time exceed the term?
Yes. The model caps it at the full term and displays a zero remaining balance.
Does the remaining balance include payoff fees?
No. Ask the lender for an official payoff statement.
Why does principal fall slowly at first?
With a positive rate, more of early payments goes to interest because the outstanding balance is larger.