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How Amortization Works (With a Worked Example)

By Murugan Vellaichamy · 2026-06-06

Every fixed-rate loan — mortgage, auto, personal, student — runs on the same machine: amortization. The word just means spreading a debt across equal payments. But how each payment is divided is what decides whether you pay a little interest or a fortune.

The single rule

Each month, the lender does two things, in order. First, it charges interest on whatever you still owe: interest = balance × (annual rate ÷ 12). Second, whatever is left of your payment after interest goes to reducing the balance. That's the entire mechanism. The payment never changes; the split inside it changes every month.

Worked example: $300,000 at 6% over 30 years

The standard formula gives a monthly payment of $1,799. Now watch month one. Your balance is $300,000, so interest is 300,000 × 0.005 = $1,500. Your payment is $1,799, so only $299 reduces the debt. After your first payment of nearly eighteen hundred dollars, you owe $299,701 — the loan barely moved.

Month two: the balance is slightly smaller, so interest is slightly smaller, so slightly more goes to principal. This tiny shift repeats 360 times. Early on it's glacial; by the final years, almost the whole payment is principal. Summed across the full schedule, this loan generates $347,515 in interest — 116% of what you borrowed.

Why the schedule matters more than the rate quote

Two loans with the same payment can have wildly different totals depending on term. The schedule also explains why extra payments punch above their weight: an extra dollar skips the interest stage entirely and goes straight to the balance, shrinking every future interest charge.

Reading your own schedule

Generate yours with the amortization schedule calculator — look for three things: the interest column in year one (brace yourself), the crossover month where principal finally exceeds interest, and the cumulative interest column, which is the loan's true price tag accumulating in real time.

Once you can read an amortization schedule, loan marketing loses its power: the monthly payment is the headline, but the schedule is the contract.

The four variables and what each one does

Every amortized loan is fully described by four numbers, and their sensitivities are worth memorizing. Principal scales everything linearly — double the loan, double the payment and the interest. Rate is brutally nonlinear on long loans: moving our example from 6% to 7% raises the payment by about 11% but lifts total interest by roughly 20%. Term trades payment for cost — stretching 15 to 30 years cuts the payment by only about a third while roughly tripling the interest, because the balance lingers. Extra principal is the only variable you control after closing, which is why it gets its own tool.

Common misconceptions, corrected

"The bank takes its interest first." No — interest is simply computed on the balance each month; nothing is prepaid or front-loaded by choice. "Paying extra changes my required payment." It doesn't (unless you formally recast); it shortens the term and cuts interest instead. "My payment goes up when rates rise." Not on a fixed-rate loan — the schedule is locked the day you sign; only taxes and insurance in escrow drift. "The last payment is the same as the rest." Almost — cent-level rounding accumulates into a slightly different final payment, which is normal and documented in our methodology.

Beyond mortgages

The same machine runs auto, personal, and student loans — only the scale changes. A 6-year car loan crosses over in its first months; a 5-year personal loan at 12% spends its first year heavily interest-weighted; income-driven student plans bend the rules by varying the payment, which is why fixed-schedule math only approximates them. Whenever a payment is fixed and interest accrues on a balance, everything in this article applies verbatim — run any of them through the total interest calculator and the schedule will look familiar.