# Amortization Schedule Calculator

An amortization schedule calculator is a tool that helps you calculate the periodic payments on a loan and how much of each payment goes towards the principal and interest. It is an essential tool for anyone who wants to take out a loan or mortgage. In this article, we will discuss the concepts, formulae, benefits, interesting facts, and use cases of an amortization schedule calculator.

## Concepts

### Amortization

Amortization is the process of paying off a debt over time through regular payments. It is used to reduce the current balance on a loan or an intangible asset over a set period of time. When applied to an asset, amortization is similar to depreciation.

### Amortization Schedule

An amortization schedule is a table that shows how much of each payment goes towards the principal and interest and how much is left on the loan balance after each payment. It also shows the total interest paid over the life of the loan.

### Principal

The principal is the amount of money borrowed from a lender.

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### Interest

Interest is the cost of borrowing money from a lender. It is expressed as an annual percentage rate (APR).

### Payment

The payment is the amount of money paid by the borrower to the lender at regular intervals.

## Formulae

### Monthly Payment Formula

The monthly payment formula for an amortized loan is:

``````M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)
``````

Where:

• M = Monthly Payment
• P = Principal Amount
• r = Monthly Interest Rate
• n = Number of Payments

### Interest Formula

The interest formula for an amortized loan is:

``````I = P * r * t
``````

Where:

• I = Interest Paid
• P = Principal Amount
• r = Annual Interest Rate
• t = Time in Years

## Benefits

An amortization schedule calculator has several benefits, including:

• Helps you understand how much you will pay in interest over the life of your loan.
• Helps you determine how much you can afford to borrow.
• Helps you compare different loan options.

## Interesting Facts

Here are some interesting facts about amortization schedule calculators:

• The first known use of an amortization schedule was in 1934 by the Home Ownersโ Loan Corporation (HOLC) in the United States.
• Amortization schedules are used by lenders, such as financial institutions, to present a loan repayment schedule based on a specific maturity date.
• Most accounting and spreadsheet software have functions that can calculate amortization automatically.

## Use Cases

Here are some use cases for an amortization schedule calculator:

• Mortgages: An amortization schedule calculator can help you determine how much your monthly mortgage payments will be and how much interest you will pay over the life of your mortgage.
• Auto Loans: An amortization schedule calculator can help you determine how much your monthly car payments will be and how much interest you will pay over the life of your auto loan.
• Personal Loans: An amortization schedule calculator can help you determine how much your monthly personal loan payments will be and how much interest you will pay over the life of your personal loan.

## References

Here are some references related to amortization schedules:ย Investopediaย ย Wikipedia

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