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Amortization Calculator

Calculate loan amortization schedule with detailed payment breakdown.

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Reviewed by David Chen, CFA
Chartered Financial Analyst | Last Updated: November 24, 2025

Understanding Loan Amortization

Loan amortization is the process of paying off debt through regular, scheduled payments over time. Each payment includes both principal (the amount borrowed) and interest (the cost of borrowing). Understanding how loan amortization works is essential for making informed borrowing decisions and potentially saving thousands in interest charges.

An amortization schedule provides a complete roadmap of your loan repayment journey, showing exactly how much of each payment goes toward interest versus principal. This transparency allows borrowers to see the true cost of their loan and identify opportunities to accelerate payoff through extra payments.

How Amortization Works

The amortization process follows a predictable pattern. In the early years of a loan, the majority of your monthly payment covers interest charges, with only a small portion reducing the principal balance. As time progresses, this ratio gradually shifts. By the final years, most of each payment goes toward principal, with minimal interest.

This phenomenon occurs because interest is calculated as a percentage of the remaining balance. A $200,000 loan at 4.5% generates $750 in monthly interest initially. After paying down half the principal, the same rate generates only $375 in monthly interest because the balance has decreased.

The Amortization Formula

Monthly Payment = P × [r(1+r)^n] / [(1+r)^n-1]

Where P = Principal amount, r = Monthly interest rate, n = Number of monthly payments

💡 Expert Tips

Make Bi-Weekly Payments Instead of Monthly

Paying half your monthly payment every two weeks results in 26 half-payments (13 full payments) per year instead of 12. This extra payment goes entirely to principal and can shave years off a 30-year mortgage while saving tens of thousands in interest.

Target Extra Payments Toward Principal

When making extra payments, explicitly specify they should apply to principal, not advance your next payment due date. Reducing principal immediately lowers the balance on which interest is calculated, creating compounding savings throughout the loan's life.

Front-Load Extra Payments

Extra principal payments in the first five years of a loan yield dramatically more savings than identical payments later. Early in the loan, you're paying maximum interest, so principal reduction has greatest impact. Even $100 extra monthly in year one can save thousands over 30 years.

Compare Amortization Schedules Before Borrowing

A 15-year loan versus 30-year isn't just about payment size—the amortization difference is dramatic. On a $200,000 loan at 4%, you'll pay $72,000 interest over 15 years versus $144,000 over 30 years. Sometimes the higher payment is worth the massive interest savings.

Understand the Power of Even Small Rate Differences

A 0.5% rate difference seems trivial, but on a $300,000 30-year mortgage, it's the difference between paying $1,520/month and $1,610/month—and about $32,000 more in total interest. Shop aggressively for the lowest rate.

⚠️ Common Mistakes to Avoid

Ignoring Prepayment Penalties

Some loans penalize early payoff, negating the benefit of extra payments. Always check your loan agreement for prepayment penalty clauses before implementing an aggressive paydown strategy. These penalties typically apply for 3-5 years after origination.

Only Looking at Monthly Payment, Not Total Cost

A longer loan term offers lower monthly payments but costs significantly more in total interest. Don't choose a 30-year loan over a 15-year solely based on payment affordability—consider the opportunity cost of paying double the interest over time.

Assuming All Extra Payments Are Equal

Timing matters enormously. An extra $1,000 payment in year 1 saves far more interest than the same payment in year 20. Create an amortization comparison showing the impact of accelerated payments in different years to visualize this effect.

Neglecting to Verify Payment Application

Lenders occasionally misapply payments, crediting them to future payments instead of principal reduction. Review your monthly statement to confirm your principal balance decrease matches your amortization schedule expectations.

Paying Down Low-Interest Debt Before High-Interest Debt

If you have multiple debts, the mathematically optimal strategy is targeting the highest interest rate first. Don't aggressively pay down a 3.5% mortgage while carrying 18% credit card debt. Eliminate expensive debt first, then attack lower-rate loans.

❓ Frequently Asked Questions

What is an amortization schedule?

An amortization schedule is a complete table of periodic loan payments showing the amount of principal and interest that comprise each payment until the loan is paid off. It illustrates how each monthly payment is divided between interest charges and principal reduction, and shows the remaining loan balance after each payment.

How do I calculate loan amortization?

To calculate loan amortization: 1) Determine your loan amount, annual interest rate, and loan term, 2) Convert annual rate to monthly rate by dividing by 12, 3) Calculate number of monthly payments, 4) Use the amortization formula: M = P[r(1+r)^n]/[(1+r)^n-1], where M is monthly payment, P is principal, r is monthly rate, and n is number of payments, 5) For each month, calculate interest (balance × monthly rate) and principal (payment - interest).

What is the difference between principal and interest?

Principal is the original loan amount you borrowed, while interest is the cost of borrowing that money, expressed as a percentage. In early loan payments, most of your monthly payment goes toward interest. As the loan matures, more of each payment applies to principal reduction. This shift occurs because interest is calculated on the remaining balance, which decreases over time.

Can I pay off my loan early?

Yes, most loans allow early payoff, which can save significant interest. However, some loans have prepayment penalties. Check your loan agreement before making extra payments. Strategies include: making bi-weekly instead of monthly payments (resulting in one extra payment per year), applying windfalls (bonuses, tax refunds) to principal, or adding even small amounts to each monthly payment.

Why does more interest get paid at the beginning of a loan?

Interest is calculated as a percentage of the remaining loan balance. At the start, the balance is highest, so interest charges are largest. As you pay down principal, the balance decreases, meaning less interest accrues each month. This is why accelerating principal payments early in the loan term yields the greatest interest savings over the life of the loan.