Loan Amortization Explained: How Your Monthly Payment Really Works
If you've ever taken out a loan, you've probably noticed something strange on your first statement: even though your payment stays the same every month, only a small slice of it goes toward your actual balance at first. That's amortization at work.
What Is Amortization?
Amortization is the process of spreading a loan out into a series of fixed payments over time. Each payment covers two things: the interest owed for that period, and a portion of the principal (the amount you originally borrowed).
The Formula
The standard formula for a fixed monthly payment is:
M = P × [r(1+r)ⁿ] / [(1+r)ⁿ − 1]
Where:
- M is your monthly payment
- P is the loan principal
- r is your monthly interest rate (annual rate ÷ 12)
- n is the total number of payments
Rather than doing this by hand, plug your numbers into our Loan Calculator or Mortgage Calculator to get an instant breakdown.
Why Early Payments Are Mostly Interest
Interest is calculated on your remaining balance. Early in the loan, your balance is at its highest, so the interest portion of each payment is largest — and the amount going toward principal is smallest. As the balance shrinks, more of each payment chips away at principal. This is why paying even a little extra early in a loan's life can meaningfully shorten its term.
Worked Example
A $20,000 loan at 6% annual interest over 5 years (60 months) has a monthly payment of about $386.66. Over the full term, you'll pay roughly $3,199 in total interest — about 16% of the original loan amount.
Tips for Managing a Loan
- Extra payments go further early on. Because more of your payment covers interest at the start, extra principal payments early in the loan save more interest over its lifetime than the same extra payment made later.
- Compare total cost, not just monthly payment. A longer term lowers your monthly payment but usually increases total interest paid.
- Model different scenarios. Try a few different terms and rates in the calculator to see how they change your total cost.
FAQ
Does a lower monthly payment always mean a better deal? Not necessarily — a longer term often means a lower payment but more total interest paid.
What's the difference between a loan and a mortgage calculator? They use the same math; a mortgage calculator additionally factors in a down payment subtracted from the home price to determine the loan principal.
Can I pay off a loan early? Many loans allow this, sometimes with a prepayment penalty — check your loan agreement.