Payment-by-Payment Amortization Schedule
How to Read an Amortization Schedule
Enter the opening balance, fixed annual rate and number of monthly payments. The generated table has one row per scheduled payment.
Select a display currency without converting the entered amount.
Early payments are usually interest-heavy
At a positive fixed rate, interest is calculated on the outstanding balance, so its share generally declines as principal is repaid.
A Schedule Intent, Separate from Payment Comparison
This page is designed for period-level inspection rather than only a headline payment. Interest is rounded to cents each month, principal is payment minus interest, and the remaining balance is carried forward at cent precision. The final row is adjusted so the balance reaches exactly zero instead of leaving a rounding residue. The result assumes no skipped, late or additional payments.
Amortization and Rounding Examples
Three-payment rounding example
Balance, rate and term
Schedule behavior
Monthly cent rounding leaves a one-cent final adjustment, with total interest of 8.34.
Zero-interest schedule
Balance, rate and term
Schedule behavior
Every row has zero interest and the final row clears the cent remainder.
Use statement data for payoff
A payoff quote can include interest through a specific date and fees that a monthly schedule cannot know.
Frequently Asked Questions
Still have questions about this calculation?
Try the CalculatorAmortization Schedule Method
The schedule combines the fixed-payment equation with a repeating rounded balance update.
Formula
Scheduled payment
M = P × r / (1 − (1 + r)^−n), or P / n when r = 0
Period allocation
interestₜ = round(balanceₜ₋₁ × r, 2); principalₜ = round(paymentₜ − interestₜ, 2)
Final payment
paymentₙ = round(remaining balance + final interest, 2)
Scientific Background
Cent-level allocation provides an auditable schedule, but contractual systems may retain more internal precision or accrue interest daily.