Loan Amortization Calculator

Calculate your monthly payments, total interest, and view a complete payment schedule for any loan.

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years

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Principal + Interest
Total Payment
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Over loan term
Total Interest
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Cost of borrowing

Amortization Schedule

Payment # Principal Interest Balance

Key Takeaways

  • Amortization spreads loan payments evenly over the term while shifting principal vs interest proportions
  • Early payments are mostly interest; later payments are mostly principal
  • A $250,000 loan at 6.5% for 30 years costs $318,861 in interest
  • Paying just $100 extra monthly can save tens of thousands in interest
  • Shorter loan terms have higher payments but significantly less total interest

What is a Loan Amortization Calculator?

A Loan Amortization Calculator is a digital tool designed to determine and illustrate the repayment schedule of a loan throughout its duration. It deconstructs each payment into two primary elements - principal and interest, and creates an amortization schedule that showcases how the balance of the loan diminishes over time.

Understanding Loan Amortization

Loan amortization refers to the process of repaying a debt over time through consistent payments. Each payment contributes towards the loan's interest and the reduction of the loan's principal balance. The specific amount allocated to interest and principal varies with each payment, with a larger proportion of the payment going towards interest in the early stages of the loan. As time progresses, the part of the payment dedicated to the principal increases, accelerating the pace at which the loan balance decreases.

The Mathematical Formula Behind Loan Amortization

PMT = P × (r(1 + r)n) / ((1 + r)n - 1)
PMT = Monthly Payment
P = Principal (loan amount)
r = Monthly interest rate (annual rate / 12)
n = Total number of payments (years × 12)

How to Use This Calculator

Using the Loan Amortization Calculator involves entering the following details:

  • Loan Amount: The initial amount of the loan or the principal.
  • Interest Rate: The annual interest rate on the loan, expressed as a percentage.
  • Loan Term: The duration of the loan, typically in years.

After entering these details, the calculator will generate an amortization schedule. The schedule includes every payment for the term of the loan, breaking down each payment into principal, interest, and the remaining loan balance.

Implications of Different Interest Rates and Loan Terms

The interest rate and loan term have a significant impact on the total amount repaid by the borrower. A higher interest rate increases the total interest paid over the life of the loan. On the other hand, a longer loan term reduces the monthly payments but increases the total interest paid. Therefore, it's crucial to consider these factors when choosing a loan and use the Loan Amortization Calculator to understand their implications.

Fixed-Rate vs. Adjustable-Rate Mortgages

When it comes to mortgages, there are two main types of amortizing loans: fixed-rate and adjustable-rate. In a fixed-rate mortgage, the interest rate remains constant throughout the loan term, making each payment the same. In contrast, an adjustable-rate mortgage has an interest rate that changes over time, affecting the amount of each payment. The Loan Amortization Calculator can be used to illustrate how these differences can impact the repayment of the loan.

Practical Applications

Loan Amortization Calculators are used in both personal and commercial finance settings. They're essential for individuals planning to take out a mortgage or car loan, offering insight into the total cost of the loan, the interest paid over time, and the repayment schedule. In the business realm, they're used by corporations considering loans to finance operations or expansions, and by banks and financial institutions that provide these loans.