Amortization Accounting Calculator
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Reviewed by Calculator Editorial Team
Amortization is the process of systematically paying off a debt over time, typically through regular installments that cover both the interest and principal portions of the loan. This calculator helps accountants, financial analysts, and loan officers determine monthly payments, interest costs, and the complete amortization schedule for loans.
What is Amortization?
Amortization is a financial accounting method used to systematically reduce a debt's principal amount through a series of periodic payments. These payments typically consist of both interest and principal components, allowing the borrower to pay off the loan over time while minimizing interest costs.
Key Components of Amortization
- Principal: The original amount borrowed
- Interest: The cost of borrowing, calculated as a percentage of the remaining principal
- Payment: The regular amount paid each period that covers both principal and interest
- Term: The total time period over which the loan is repaid
Types of Amortization
- Straight-line amortization: Equal payments of both principal and interest
- Declining balance amortization: Payments that decrease over time as more principal is paid
- Interest-only amortization: Payments that cover only the interest, with principal paid at the end
Important Note
Amortization schedules are crucial for financial planning and tax purposes. They help businesses and individuals track loan payments, interest expenses, and remaining debt over time.
How to Use This Calculator
Using the amortization accounting calculator is straightforward. Follow these steps:
- Enter the loan amount in the "Loan Amount" field
- Input the annual interest rate in the "Annual Interest Rate" field
- Specify the loan term in years in the "Loan Term (Years)" field
- Click the "Calculate" button to generate the amortization schedule
- Review the monthly payment, total interest paid, and complete amortization schedule
The calculator will display the monthly payment amount, total interest paid over the loan term, and a detailed amortization schedule showing each payment's breakdown.
Amortization Formula
The monthly payment (PMT) for an amortized loan can be calculated using the following formula:
Monthly Payment Formula
PMT = P × [r(1 + r)n] / [(1 + r)n - 1]
Where:
- P = Principal loan amount
- r = Monthly interest rate (annual rate divided by 12)
- n = Number of payments (loan term in years × 12)
This formula calculates the fixed monthly payment required to fully amortize the loan over the specified term.
Amortization Schedule
The amortization schedule shows each payment's breakdown into interest and principal components. The remaining balance decreases with each payment as more principal is paid off.
| Payment # | Payment Amount | Interest | Principal | Remaining Balance |
|---|---|---|---|---|
| 1 | $1,200.00 | $800.00 | $400.00 | $19,600.00 |
| 2 | $1,200.00 | $760.00 | $440.00 | $19,160.00 |
| 3 | $1,200.00 | $720.00 | $480.00 | $18,680.00 |
Example Calculation
Let's calculate the amortization for a $20,000 loan with a 6% annual interest rate over 15 years.
- Convert annual interest rate to monthly: 6% ÷ 12 = 0.5% or 0.005
- Calculate number of payments: 15 years × 12 = 180 payments
- Apply the monthly payment formula:
PMT = $20,000 × [0.005(1 + 0.005)180] / [(1 + 0.005)180 - 1]
PMT ≈ $20,000 × [0.005 × 2.197] / [2.197 - 1]
PMT ≈ $20,000 × 0.010985 / 1.197
PMT ≈ $1,755.14
- Total interest paid: ($1,755.14 × 180) - $20,000 ≈ $15,592.36
The monthly payment would be approximately $1,755.14, with a total interest cost of about $15,592.36 over the 15-year term.