Amortization Calculator (2024)

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Amortization Calculator (1)

Amortization schedule


YearInterestPrincipalEnding Balance
1$11,769.23$8,483.33$191,516.67
2$11,246.00$9,006.57$182,510.10
3$10,690.49$9,562.07$172,948.02
4$10,100.72$10,151.84$162,796.18
5$9,474.58$10,777.98$152,018.20
6$8,809.82$11,442.75$140,575.45
7$8,104.05$12,148.51$128,426.94
8$7,354.76$12,897.80$115,529.13
9$6,559.25$13,693.31$101,835.82
10$5,714.68$14,537.89$87,297.94
11$4,818.01$15,434.55$71,863.38
12$3,866.04$16,386.52$55,476.86
13$2,855.36$17,397.21$38,079.66
14$1,782.34$18,470.23$19,609.43
15$643.13$19,609.43$-0.00

While the Amortization Calculator can serve as a basic tool for most, if not all, amortization calculations, there are other calculators available on this website that are more specifically geared for common amortization calculations.

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What is Amortization?

There are two general definitions of amortization. The first is the systematic repayment of a loan over time. The second is used in the context of business accounting and is the act of spreading the cost of an expensive and long-lived item over many periods. The two are explained in more detail in the sections below.

Paying Off a Loan Over Time

When a borrower takes out a mortgage, car loan, or personal loan, they usually make monthly payments to the lender; these are some of the most common uses of amortization. A part of the payment covers the interest due on the loan, and the remainder of the payment goes toward reducing the principal amount owed. Interest is computed on the current amount owed and thus will become progressively smaller as the principal decreases. It is possible to see this in action on the amortization table.

Credit cards, on the other hand, are generally not amortized. They are an example of revolving debt, where the outstanding balance can be carried month-to-month, and the amount repaid each month can be varied. Please use our Credit Card Calculator for more information or to do calculations involving credit cards, or our Credit Cards Payoff Calculator to schedule a financially feasible way to pay off multiple credit cards. Examples of other loans that aren't amortized include interest-only loans and balloon loans. The former includes an interest-only period of payment, and the latter has a large principal payment at loan maturity.

Amortization Schedule

An amortization schedule (sometimes called an amortization table) is a table detailing each periodic payment on an amortizing loan. Each calculation done by the calculator will also come with an annual and monthly amortization schedule above. Each repayment for an amortized loan will contain both an interest payment and payment towards the principal balance, which varies for each pay period. An amortization schedule helps indicate the specific amount that will be paid towards each, along with the interest and principal paid to date, and the remaining principal balance after each pay period.

Basic amortization schedules do not account for extra payments, but this doesn't mean that borrowers can't pay extra towards their loans. Also, amortization schedules generally do not consider fees. Generally, amortization schedules only work for fixed-rate loans and not adjustable-rate mortgages, variable rate loans, or lines of credit.

Spreading Costs

Certain businesses sometimes purchase expensive items that are used for long periods of time that are classified as investments. Items that are commonly amortized for the purpose of spreading costs include machinery, buildings, and equipment. From an accounting perspective, a sudden purchase of an expensive factory during a quarterly period can skew the financials, so its value is amortized over the expected life of the factory instead. Although it can technically be considered amortizing, this is usually referred to as the depreciation expense of an asset amortized over its expected lifetime. For more information about or to do calculations involving depreciation, please visit the Depreciation Calculator.

Amortization as a way of spreading business costs in accounting generally refers to intangible assets like a patent or copyright. Under Section 197 of U.S. law, the value of these assets can be deducted month-to-month or year-to-year. Just like with any other amortization, payment schedules can be forecasted by a calculated amortization schedule. The following are intangible assets that are often amortized:

  1. Goodwill, which is the reputation of a business regarded as a quantifiable asset
  2. Going-concern value, which is the value of a business as an ongoing entity
  3. The workforce in place (current employees, including their experience, education, and training)
  4. Business books and records, operating systems, or any other information base, including lists or other information concerning current or prospective customers
  5. Patents, copyrights, formulas, processes, designs, patterns, know-hows, formats, or similar items
  6. Customer-based intangibles, including customer bases and relationships with customers
  7. Supplier-based intangibles, including the value of future purchases due to existing relationships with vendors
  8. Licenses, permits, or other rights granted by governmental units or agencies (including issuances and renewals)
  9. Covenants not to compete or non-compete agreements entered relating to acquisitions of interests in trades or businesses
  10. Franchises, trademarks, or trade names
  11. Contracts for the use of or term interests in any items on this list

Some intangible assets, with goodwill being the most common example, that have indefinite useful lives or are "self-created" may not be legally amortized for tax purposes.

According to the IRS under Section 197, some assets are not considered intangibles, including interest in businesses, contracts, land, most computer software, intangible assets not acquired in connection with the acquiring of a business or trade, interest in an existing lease or sublease of a tangible property or existing debt, rights to service residential mortgages (unless it was acquired in connection with the acquisition of a trade or business), or certain transaction costs incurred by parties in which any part of a gain or loss is not recognized.

Amortizing Startup Costs

In the U.S., business startup costs, defined as costs incurred to investigate the potential of creating or acquiring an active business and costs to create an active business, can only be amortized under certain conditions. They must be expenses that are deducted as business expenses if incurred by an existing active business and must be incurred before the active business begins. Examples of these costs include consulting fees, financial analysis of potential acquisitions, advertising expenditures, and payments to employees, all of which must be incurred before the business is deemed active. According to IRS guidelines, initial startup costs must be amortized.

Amortization Calculator (2024)

FAQs

How do you calculate fully amortizing payments? ›

To calculate amortization, first multiply your principal balance by your interest rate. Next, divide that by 12 months to know your interest fee for your current month. Finally, subtract that interest fee from your total monthly payment. What remains is how much will go toward principal for that month.

How do you calculate the amount of amortization? ›

How to calculate loan amortization. You'll need to divide your annual interest rate by 12. For example, if your annual interest rate is 3%, then your monthly interest rate will be 0.25% (0.03 annual interest rate ÷ 12 months). You'll also multiply the number of years in your loan term by 12.

How do you calculate amortization without a calculator? ›

Starting in month one, take the total amount of the loan and multiply it by the interest rate on the loan. Then for a loan with monthly repayments, divide the result by 12 to get your monthly interest. Subtract the interest from the total monthly payment, and the remaining amount is what goes toward principal.

What is an amortization schedule answers? ›

An amortization schedule gives you a complete breakdown of every monthly payment, showing how much goes toward principal and how much goes toward interest. It can also show the total interest that you will have paid at a given point during the life of the loan and what your principal balance will be at any point.

What is full payment of amortization? ›

A fully amortized payment is one where if you make every payment according to the original schedule on your term loan, your loan will be fully paid off by the end of the term. The word amortization simply refers to the amount of principal and interest paid each month over the course of your loan term.

Is there an Excel formula for amortization? ›

Excel PPMT Function Formula

The PPMT function in Excel calculates the periodic principal amortization owed on the loan, which, to reiterate from earlier, should increase after each payment period.

What is the formula for repayment? ›

So, to get your monthly loan payment, you must divide your interest rate by 12. Whatever figure you get, multiply it by your principal. A simpler way to look at it is monthly payment = principal x (interest rate / 12). The formula might seem complex, but it doesn't have to be.

How do you calculate monthly payments? ›

The formula is: M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1], where M is the monthly payment, P is the loan amount, i is the interest rate (divided by 12) and n is the number of monthly payments.

What is the formula for loan payment? ›

Monthly Payment = (P × r) ∕ n

Again, “P” represents your principal amount, and “r” is your APR. However, “n” in this equation is the number of payments you'll make over a year. Now for an example. Let's say you get an interest-only personal loan for $10,000 with an APR of 3.5% and a 60-month repayment term.

How do you solve amortization problems? ›

Amortization Formula
  1. PMT=P⋅(rm)[1−(1+rm)−mt]
  2. P is the balance in the account at the beginning (the principal, or amount of the loan)
  3. r is the annual interest rate in decimal form.
  4. t is the length of the loan, in years.
  5. m is the number of compounding periods in one year.
May 26, 2022

What is the monthly amortization formula example? ›

Example of Amortization Formula

Amortization is Calculated Using Below formula: ƥ = rP / n * [1-(1+r/n)-nt] ƥ = 0.1 * 100,000 / 12 * [1-(1+0.1/12)-12*20] ƥ = 965.0216.

What is amortization with example? ›

Amortization also refers to the repayment of a loan principal over the loan period. In this case, amortization means dividing the loan amount into payments until it is paid off. You record each payment as an expense, not the entire cost of the loan at once.

What three things you would find on an amortization schedule? ›

Beginning balance: This is the principal balance you have at the beginning of each new month before you make a loan payment. Scheduled payment: This is your monthly loan payment. This number will be the same every month. Principal: This is the amount paid toward your principal with every payment.

How does amortization work? ›

With an amortized loan schedule, your loan payments go primarily toward interest for the first several years of your loan, leaving the principal mostly untouched. Over time, more of your payment each month goes toward the principal, which continues until the loan is completely paid off.

What is an example of an amortized cost? ›

Example. A company, Green Co., purchases a machine for $100,000, which it expects to use for ten years. By the fourth year, the company has charged $40,000 of the asset's cost through depreciation. This portion of the machine's cost represents the amortized cost for that asset.

How are the regular payments applied in a fully amortized mortgage loan? ›

Key Takeaways

An amortized loan is a type of loan that requires the borrower to make scheduled, periodic payments that are applied to both the principal and interest. An amortized loan payment first pays off the interest expense for the period; any remaining amount is put towards reducing the principal amount.

What is the formula for amortizing intangible assets? ›

Amortization is calculated by taking the difference between the cost of the asset and its anticipated salvage or book value and dividing that figure by the total number of years it will be used.

How do you calculate loan payments? ›

The formula is: M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1], where M is the monthly payment, P is the loan amount, i is the interest rate (divided by 12) and n is the number of monthly payments.

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