Amortization Calculator

Generate a full amortization schedule showing the exact principal and interest breakdown for every payment — month by month, year by year.

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See interest saved by paying extra each month

What Is an Amortization Schedule?

When you borrow money with a standard installment loan — a mortgage, auto loan, personal loan, or student loan — your lender creates a repayment plan called an amortization schedule. This schedule maps out every single payment you will make from the first month to the last, showing exactly how each dollar is divided between interest (the lender's fee for the loan) and principal (the actual reduction in your debt).

The word "amortize" comes from the Old French amortir, meaning "to kill off." In lending, it describes the gradual extinction of a debt through regular payments. Each payment you make reduces what you owe, and over time, the loan balance is killed off entirely.

For most borrowers, the amortization schedule reveals a striking fact: in the early years of a long loan, the vast majority of every payment goes to interest — not to reducing what you owe. This is not a bank trick; it is simply math. The schedule above shows this in full detail so you can see exactly what's happening with your money.

The Amortization Formula Explained

Every fixed-rate amortizing loan uses the same core formula to calculate the monthly payment:

M = P × [r(1+r)ⁿ] / [(1+r)ⁿ − 1]

  • M = Monthly payment
  • P = Principal (the amount borrowed)
  • r = Monthly interest rate (annual rate ÷ 12)
  • n = Total number of payments (years × 12)

The formula is designed so that M stays constant throughout the loan while the split between interest and principal shifts every month. Let's walk through the math for a concrete example: a $250,000 loan at 6.85% for 30 years.

  • Monthly rate r = 6.85% ÷ 12 = 0.5708%
  • Total payments n = 30 × 12 = 360
  • Monthly payment M ≈ $1,641

In month 1, the interest charge is $250,000 × 0.5708% = $1,427. The remaining $214 goes to principal. The balance drops to $249,786. In month 2, the interest charge is slightly less because the balance is slightly lower — and so it continues, month after month, until the balance reaches zero in month 360.

Reading the Schedule: Early vs. Late Payments

The most important thing to understand about a standard amortization schedule is the front-loading of interest. In the first years of a 30-year mortgage at a moderate interest rate, roughly 85–90 cents of every dollar you pay goes to interest. In the final years, the ratio flips — almost every cent reduces the balance.

Here is how that $250,000 / 6.85% / 30-year loan breaks down by milestone:

Payment #PrincipalInterestBalance
Month 1$214$1,427$249,786
Month 60 (Yr 5)$291$1,350$236,336
Month 180 (Yr 15)$523$1,118$195,736
Month 300 (Yr 25)$940$701$122,426
Month 360 (final)$1,632$9$0

Notice that after 15 years — halfway through the loan — you still owe nearly $196,000 on a $250,000 loan. That's because the early payments were almost entirely interest. The equity you build in a home accelerates dramatically in the second half of the loan.

Why Extra Payments Save a Disproportionate Amount of Interest

Because interest is calculated on the remaining balance, anything that reduces the balance early has a compounding benefit that amplifies over time. An extra $200/month on that same $250,000 / 6.85% / 30-year loan does not just save $200 × 12 × 30 = $72,000. It saves far more — because every dollar that reduces the balance today prevents months of interest charges in the future.

In practice, $200/month extra on this loan would save approximately $80,000–$90,000 in total interest and cut the loan term by 7–8 years. The earlier in the loan you start making extra payments, the larger the impact.

Use the extra monthly payment field in the calculator above and watch the "Extra Payment Impact" card — it shows interest saved, months saved, and the new payoff date in real time.

Loan Term: The Single Biggest Driver of Total Interest

The number of years you take to repay a loan has a larger impact on total interest than almost any other factor. Here is how the same $250,000 loan at 6.85% looks across four common terms:

Loan TermMonthly PaymentTotal InterestTotal Cost
10 years$2,882$95,870$345,870
15 years$2,224$150,256$400,256
20 years$1,936$214,545$464,545
30 years$1,641$340,789$590,789

The 30-year loan costs $245,000 more in interest than the 10-year loan — nearly equal to the original loan amount. Choosing a shorter term when you can afford the higher payment is one of the most powerful wealth-building decisions a borrower can make.

Fixed-Rate vs. Adjustable-Rate Loans

This amortization calculator assumes a fixed interest rate for the entire loan term. With a fixed-rate loan, the monthly payment and the amortization schedule are set at closing and never change — making it easy to plan ahead.

Adjustable-rate mortgages (ARMs) work differently. They offer a fixed rate for an initial period — commonly 5, 7, or 10 years — and then reset periodically based on a market index like SOFR (Secured Overnight Financing Rate). After the adjustment period, the payment and amortization schedule change with every rate reset.

For an ARM, you can use this calculator to model the initial fixed period by entering the number of years of the fixed period as the loan term. This shows how the balance would decrease during those years. To model a rate reset scenario, run the calculator again with the new rate and the remaining balance as the loan amount.

How to Use This Calculator for Any Loan Type

The amortization formula is universal — it works for any fixed-rate installment loan. Here is how to set it up for common loan types:

  • Mortgage: Enter the loan amount (home price minus down payment), the annual interest rate from your lender, and the loan term. Use our mortgage calculator to also include property taxes and homeowner's insurance.
  • Auto loan: Enter the loan amount (vehicle price minus down payment), the dealer or bank rate, and the term in years. A 60-month loan = 5 years; 72 months = 6 years.
  • Personal loan: Enter the loan amount, APR, and repayment period. Personal loans range from 1–7 years typically.
  • Student loan: Enter the loan principal, interest rate, and repayment term. Standard federal repayment is 10 years; extended plans can reach 25–30 years.

Frequently Asked Questions

What is an amortization schedule?

An amortization schedule is a complete table of every payment on a loan, showing how each payment is divided between interest and principal, and what the remaining balance is after each payment. It is the full payment roadmap for any installment loan from the first payment to the final one. Lenders are required to provide this table at closing for most consumer loans.

Why do early loan payments have so much interest?

Because interest is charged on the outstanding balance, and the balance is largest at the beginning of the loan. With each payment, a small amount of principal is paid down, which reduces the balance and therefore the interest charge in the next payment. Over a 30-year loan, the tipping point — where more of the payment goes to principal than interest — occurs roughly 18–20 years in, depending on the interest rate. This is why homeowners who refinance repeatedly often find themselves perpetually stuck in interest-heavy early years.

Does making extra payments change the amortization schedule?

Yes, significantly. Extra principal payments reduce the outstanding balance immediately, which means less interest accrues going forward. The monthly payment amount stays the same, but a larger portion of each future payment goes toward principal rather than interest. The net effect is that the loan is paid off earlier and the total interest paid is substantially reduced. On a 30-year mortgage, consistently paying even $100–$200 extra per month can save tens of thousands of dollars and shave years off the loan. Use the extra payment field above to calculate your specific savings.

Can I use this calculator for an auto loan or personal loan?

Yes. The amortization formula is the same for any fixed-rate installment loan — mortgages, auto loans, personal loans, and student loans all use it. Simply enter the total amount borrowed (not the purchase price), the annual interest rate, and the loan term in years. For auto loans where the term is quoted in months, divide by 12 (e.g., 60 months = 5 years, 72 months = 6 years). The resulting schedule will show every payment with its exact principal and interest breakdown.

What is the difference between a 15-year and 30-year amortization?

A 15-year amortization schedule has 180 payments and roughly half the total interest of a 30-year loan at the same rate. The monthly payment is higher — typically 30–40% more for the same loan amount — because you are paying the principal back twice as fast. However, the total interest saved is enormous. On a $300,000 loan at 6.85%, the 30-year option costs approximately $410,000 in total interest while the 15-year option costs about $180,000 — a difference of $230,000. Use our mortgage calculator to compare both scenarios side by side.

How does refinancing affect my amortization schedule?

When you refinance, the existing loan is paid off and replaced with a new one. The new loan starts a fresh amortization schedule from scratch, based on the remaining balance (new loan amount), the new interest rate, and the new loan term. This means refinancing resets the interest-heavy early years. If you have been paying a 30-year mortgage for 10 years and refinance into a new 30-year loan, you extend your total repayment to 40 years. To evaluate whether refinancing makes financial sense, use our refinance calculator to calculate the break-even point and total interest comparison.