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Car Loan Amortization Explained (With the Formula)

The formula behind every row of the schedule — and why the first year costs more than you'd expect.

By Robinjit SinghUpdated October 2, 20267 min readLoans & DebtEditorial standards

The short answer

The quick answer

Amortisation is the schedule that splits every car payment between interest and principal. The payment stays constant, but the split shifts every month: interest = balance × (rate ÷ 12), and the rest reduces principal. Because the balance falls each month, interest shrinks and principal grows. On a $30,000 loan at 7.14% over 60 months, the first payment is 27% interest and the last is 0.5% — and half of all interest is paid within the first 19 months.

Key takeaways
  • Your payment never changes; what it buys does. Early payments are interest-heavy, later ones principal-heavy.
  • Each row needs only one calculation: interest = current balance × monthly rate.
  • Interest is front-loaded. Half the total interest on a 60-month loan is paid by month 19.
  • This is why early extra payments matter most — and why refinancing late saves little.
  • Front-loading is arithmetic, not a penalty. You owe the most at the start, so you're charged the most.

The amortization formula

Building an amortisation schedule needs two formulas: one to find the fixed payment, and one repeated for each row.

Step 1 — the payment

M = P × [ r(1 + r)ⁿ ] ÷ [ (1 + r)ⁿ − 1 ]
Variables
M = fixed monthly payment
P = principal financed (price + sales tax − down payment − trade-in)
r = monthly rate = annual rate ÷ 12, as a decimal
n = total payments (years × 12)
Example: $30,000 at 7.14% over 60 months → r = 0.00595, n = 60, M = $596.02

Step 2 — each row of the schedule

Interest = Balance × r Principal = M − Interest New balance = Balance − Principal
Variables
Balance = the closing balance of the previous month
r = the same monthly rate throughout
M = the fixed payment from step 1
Example: Month 1: $30,000 × 0.00595 = $178.50 interest → $596.02 − $178.50 = $417.52 principal → new balance $29,582.48

Repeat step 2 sixty times and you have the schedule. There is no additional complexity — a spreadsheet with three columns reproduces exactly what a lender's system produces.

Why the final payment is slightly different

Because payments are rounded to the cent, the last row rarely lands on exactly zero. Lenders adjust the final payment by a few cents or a few dollars to close the balance precisely. If your schedule ends at $0.03 rather than $0.00, you have done it right.

What a real schedule looks like

Here is the shape of a real schedule — $30,000 at 7.14% over 60 months, payment $596.02, total interest $5,761.17.

MonthInterestPrincipalBalance% of payment that is interest
1$178.50$417.52$29,582.4829.9%
12$150.35$445.67$24,822.5125.2%
24$117.46$478.56$19,263.0119.7%
36$82.15$513.87$13,293.3013.8%
48$44.24$551.78$6,883.137.4%
60$3.53$592.49$0.000.6%
$30,000 financed at 7.14% APR (Federal Reserve G.19 commercial-bank 60-month new-car average, Q2 2026) over 60 months. Computed from the site's amortization engine and Python-verified October 2026.
Interest portion of each payment over the life of the loan
Month 1
$178.50
Month 12
$150.35
Month 24
$117.46
Month 36
$82.15
Month 48
$44.24
Month 60
$3.53
The payment is $596.02 every single month. Only the split changes — interest falls steadily while principal rises by exactly the same amount.
Source: Computed from the site's amortization engine; $30,000 at 7.14% over 60 months
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Why interest is front-loaded

The most consequential feature of amortisation is that interest is front-loaded. On our 60-month loan, half of the entire $5,761.17 interest bill is paid within the first 19 months — roughly the first third of the term.

This is not a fee structure or a trick. It follows directly from the formula: interest is charged on the balance, and the balance is largest at the beginning. You are charged the most when you owe the most.

Three practical consequences follow:

Early extra payments are worth far more than late ones

A dollar of principal removed in month 6 avoids interest for 54 remaining months. The same dollar in month 50 avoids it for 10. This is why acceleration strategies emphasise starting early — see how to pay off your car loan early.

Refinancing late rarely pays

If most of the interest is already behind you, a lower rate has little left to work on. Refinancing is strongest in the first half of the term — covered in should you refinance your car loan.

Slow early principal repayment is why cars go underwater

A 72-month loan repays only about 14% of its principal in year one, while a new car typically loses value fastest in its first year. The gap between those two rates is negative equity — the subject of the cluster's main guide.

How term length changes the schedule

Term length changes the schedule's shape more than most buyers expect. Longer terms lower the payment but slow principal repayment, so more of each payment stays interest for longer.

TermMonthly paymentTotal interestTotal paid
48 months$720.34$4,576.20$34,576.20
60 months$596.02$5,761.17$35,761.17
72 months$513.49$6,971.23$36,971.23
$30,000 at 7.14% APR across three terms. Payments and interest computed from the site's amortization engine, October 2026.

Moving from 48 to 72 months cuts the payment by $207 but adds $2,395 in interest — and keeps you underwater considerably longer. Longer terms are one of the most common routes into negative equity.

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Methodology and sources

How we researched this

Every payment, interest and balance figure was computed from this site's auto loan amortization engine — the same code behind the linked calculators — and independently verified in Python before publication. The example uses 7.14%, the Federal Reserve's average 60-month new-car loan rate at commercial banks for the second quarter of 2026 (G.19).

Schedules assume a standard simple-interest amortising loan, which covers most U.S. auto financing. Precomputed-interest loans, found mainly in subprime and buy-here-pay-here lending, follow a different structure. Market averages are not quotes.

Sources & further reading
  1. 1Consumer Credit — G.19 (commercial bank 60-month new-car loan rate, Q2 2026) — Federal Reserve, September 8, 2026 release
  2. 2Auto Loans — consumer tools and guidance — Consumer Financial Protection Bureau
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Frequently asked questions

The payment formula is M = P × [r(1 + r)^n] ÷ [(1 + r)^n − 1], where P is the amount financed, r is the annual rate divided by 12, and n is the number of payments. Each row of the schedule then uses: interest = current balance × r, principal = payment − interest, and new balance = balance − principal.

Written by

Robinjit Singh

Founder and developer of We Are Calculator. No lead selling, no lender rankings, no affiliate-pulled recommendations. Every guide pairs primary sources (IRS, CFPB, Federal Reserve, CRA) with the free calculators you can run yourself.

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