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A loan amortization calculator breaks your fixed monthly payment into two components: interest and principal. Understanding this split is essential for evaluating the true cost of borrowing and deciding whether to make extra payments. Whether you have an auto loan, personal loan, or student loan, the underlying math is the same.
At the start of a loan, your balance is at its highest, so a larger share of each payment covers interest. As months pass and your balance decreases, the interest portion shrinks and more of your payment goes toward reducing principal. This gradual shift is why early payments feel like they barely move the balance — and why the last few years of a loan pay down principal quickly.
The payment formula
M = P[r(1+r)^n] / [(1+r)^n - 1]
Where P is the loan amount, r is the monthly interest rate (annual rate divided by 12), and n is the total number of monthly payments. This formula produces a fixed payment that fully pays off the loan by the end of the term.
Three factors determine your monthly payment: loan amount, interest rate (APR), and term length. Longer terms lower the monthly payment but increase the total interest you pay over the life of the loan. A higher interest rate increases both monthly cost and total borrowing cost. Even small rate differences compound into significant dollar amounts over multi-year terms.
Extra payments go directly toward principal, which reduces the balance that accrues interest in all future months. This creates a compounding savings effect: lower principal means less interest, which means more of your next payment goes to principal, and so on. Even adding $50 or $100 per month to a 5-year auto loan can shorten payoff by several months and save hundreds in interest.
Use this calculator to model different scenarios — compare term lengths, see how rate changes affect total cost, and experiment with extra payment amounts to find the strategy that fits your budget. The full amortization schedule shows exactly how each payment is applied month by month.
Common questions about monthly payments, amortization, and extra principal.
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This calculator is for educational purposes only and does not constitute financial advice. Results are estimates based on fixed-rate, fully amortizing loans with no fees. Actual terms, payments, and total interest can vary by lender policies and loan details. Consult a qualified advisor or lender for personalized information.