- Enter the Loan Amount, Interest Rate (%), and Loan Term (months).
- Click "Calculate" to generate the amortization schedule.
- Click "Clear" to reset the results.
- Click "Copy" to copy the amortization schedule to the clipboard.
| Payment # | Payment Amount | Principal Payment | Interest Payment | Remaining Balance |
|---|
The monthly payment is calculated using the formula:
Monthly Payment = P * [r(1 + r)^n] / [(1 + r)^n - 1]
Where:
- P is the loan amount.
- r is the monthly interest rate.
- n is the total number of payments (loan term in months).
The amortization schedule provides a detailed breakdown of each payment, including principal and interest components. It helps visualize how your loan is paid off over time.
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.
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.
- Helps you make informed decisions about your finances.
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 Owners’ 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.
Here are some references related to amortization schedules: Investopedia Wikipedia
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