Amortization Calculator Accounting

Amortization is a financial accounting process that allocates the cost of a long-term asset over its useful life. This calculator helps accountants and financial professionals determine monthly payments, interest costs, and the complete amortization schedule for loans and assets.

What is Amortization?

Amortization is the systematic payment of debt in regular installments over a period of time. It's commonly used in accounting to allocate the cost of long-term assets like buildings, vehicles, or equipment over their useful life.

In financial accounting, amortization is used to:

Calculate monthly payments on loans
Determine the depreciation of assets
Create detailed amortization schedules
Analyze the cost of borrowing

Amortization differs from depreciation. While amortization applies to intangible assets like loans, depreciation applies to tangible assets like buildings and equipment.

How to Use This Calculator

To use the amortization calculator:

Enter the loan amount (principal)
Specify the annual interest rate
Enter the loan term in years
Click "Calculate" to generate the amortization schedule

The calculator will display:

Monthly payment amount
Total interest paid over the loan term
Complete amortization schedule
Visualization of principal and interest payments

Amortization Formula

The monthly payment (PMT) for an amortized loan is calculated using the formula:

PMT = P × [r(1 + r)^n] / [(1 + r)^n - 1] Where: P = Principal loan amount r = Monthly interest rate (annual rate ÷ 12 ÷ 100) n = Number of payments (loan term in years × 12)

Where:

P = Principal loan amount
r = Monthly interest rate (annual rate ÷ 12 ÷ 100)
n = Number of payments (loan term in years × 12)

The total interest paid over the life of the loan is calculated by multiplying the monthly payment by the number of payments and subtracting the principal.

Worked Example

Let's calculate the monthly payment for a $200,000 loan at 5% annual interest over 30 years.

Principal (P) = $200,000
Annual interest rate = 5% or 0.05
Monthly interest rate (r) = 0.05 ÷ 12 = 0.0041667
Number of payments (n) = 30 × 12 = 360

Plugging these values into the formula:

PMT = 200,000 × [0.0041667(1 + 0.0041667)^360] / [(1 + 0.0041667)^360 - 1] PMT ≈ $1,073.64

Total interest paid over 30 years: $1,073.64 × 360 - $200,000 = $192,052.80

Frequently Asked Questions

What is the difference between amortization and depreciation?: Amortization applies to intangible assets like loans, while depreciation applies to tangible assets like buildings and equipment.
How is the monthly payment calculated?: The monthly payment is calculated using the standard loan amortization formula that accounts for principal, interest rate, and loan term.
What is the difference between simple interest and amortized interest?: Simple interest is calculated only on the original principal, while amortized interest is calculated on the remaining balance each period.
How does prepayment affect amortization?: Prepayments reduce the principal balance and can shorten the loan term, potentially saving on interest costs.
What is the break-even point for amortization?: The break-even point is when the total interest paid equals the total principal paid, typically occurring in the middle of the loan term.