Amortization Calculator – Calculate Loan Payments & Repayment Schedule

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Amortization Calculator
Finance & Everyday Calculators  ›  Loan & Payment Calculators  ›  Amortization Calculator
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Amortization Calculator

Calculate your estimated loan payment, total interest, total repayment, and detailed amortization schedule from your loan amount, interest rate, and repayment term.

Loan Payments Interest Calculation Repayment Schedule Principal & Interest

Calculate Your Loan Amortization

Enter the loan details below to estimate the payment and see how the balance changes over the repayment period.

Enter the original amount borrowed.
Enter the annual interest rate as a percentage.
You can enter whole or fractional years.
Choose how often payments are scheduled.

What Is an Amortization Calculator?

An amortization calculator estimates how a loan is repaid over time. Instead of showing only the regular payment, it can break the repayment into principal and interest and show the remaining balance after each scheduled payment.

This makes it easier to understand the long-term cost of borrowing. You can change the loan amount, interest rate, term, or payment frequency to see how different assumptions affect the repayment schedule.

How to Use the Amortization Calculator

  1. Enter the loan amount you expect to borrow.
  2. Enter the annual interest rate.
  3. Enter the loan term in years.
  4. Select the payment frequency, such as monthly or biweekly.
  5. Click Calculate Amortization.
  6. Review the estimated payment, total interest, total repayment, and detailed payment schedule.

Amortization Formula

For a standard fixed-rate loan with regular payments, the periodic payment can be calculated using the following formula:

Periodic Payment M = P × [r(1 + r)n] ÷ [(1 + r)n − 1]

In this formula, P is the original principal, r is the periodic interest rate, and n is the total number of scheduled payments. The annual interest rate is converted to the selected payment frequency before the calculation is performed.

Each scheduled payment is then divided between interest and principal. The interest portion is calculated from the outstanding balance, while the remainder of the payment reduces the principal.

Understanding an Amortization Schedule

An amortization schedule provides a payment-by-payment view of the loan. Each row generally shows the payment number, payment amount, interest, principal reduction, and remaining balance.

Payment

The scheduled amount paid during a particular payment period.

Interest

The portion of the payment attributed to interest on the outstanding loan balance.

Principal

The portion of the payment that reduces the amount originally borrowed.

Worked Example

Suppose you borrow $250,000 at an annual interest rate of 6.5% for 30 years with monthly payments.

The calculator converts the annual rate to a monthly rate and uses the total number of monthly payments to estimate the regular payment. The resulting schedule then shows how each monthly payment is divided between interest and principal.

In the early stages of a typical amortizing loan, a larger portion of the payment can go toward interest because the outstanding balance is still relatively high. As the balance decreases, the interest portion generally decreases and more of the payment goes toward principal.

Why Loan Amortization Matters

Looking only at the regular payment does not show the complete cost of a loan. A repayment schedule can reveal how much interest accumulates over the full term and how quickly the principal balance decreases.

Comparing different loan terms can be particularly useful. A longer term may reduce the scheduled payment but can result in more interest over the entire repayment period. A shorter term can increase the scheduled payment while reducing the number of periods over which interest is charged.

Common Uses for an Amortization Calculator

Home Loans

Estimate payments and examine how mortgage principal and interest change throughout a repayment period.

Personal Loans

Compare repayment schedules for personal borrowing under different interest rates and terms.

Loan Comparison

Test different loan amounts, terms, rates, and payment frequencies before comparing borrowing scenarios.

Common Amortization Calculation Mistakes

  • Entering the interest rate as a decimal instead of a percentage.
  • Confusing the loan term in years with the total number of payments.
  • Comparing loans without considering the total interest paid.
  • Assuming the calculated result includes taxes, insurance, fees, or other borrowing costs.
  • Treating an estimate as an exact quotation from a lender.

Amortization Calculator Limitations

This calculator provides mathematical estimates based on the values entered by the user. Actual loan payments and repayment schedules can differ because lenders may use different compounding conventions, payment rules, fees, rounding methods, variable rates, or other terms.

Important: This calculator is for informational and planning purposes only. It does not provide financial advice, lending approval, or a loan offer. Check the terms supplied by your lender before making financial decisions.

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Frequently Asked Questions

What is loan amortization?

Loan amortization is the process of repaying a loan through scheduled payments that are allocated between interest and principal over time.

What does an amortization schedule show?

An amortization schedule shows individual payments and how each payment is divided between interest and principal, along with the remaining loan balance.

Does an amortization calculator show total interest?

Yes. The calculator estimates the total interest across the calculated repayment schedule in addition to the regular payment and total repayment amount.

Does a longer loan term reduce the payment?

Generally, spreading the same loan amount over more payment periods can reduce the scheduled payment, but it can also increase the total interest paid over the life of the loan.

What is the difference between principal and interest?

Principal is the amount borrowed that remains to be repaid, while interest is the cost charged for borrowing that money. An amortizing payment normally contains both components.

Can I use this calculator for different payment frequencies?

Yes. The calculator supports monthly, biweekly, weekly, quarterly, semiannual, and annual payment frequencies.

Is the result from an amortization calculator exact?

The result is an estimate based on the inputs and calculation method used. Actual lender calculations may differ because of loan-specific terms, fees, rounding, compounding conventions, or other conditions.

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