Amortization Calculator (2024)

Estimate your monthly loan repayments, interest rate, and payoff date

Amortizationis an accounting term that describes the change in value of intangible assets or financial instruments over time. If you’ve ever wondered how much of your monthly payment will go towardinterestand how much will go towardprincipal, an amortization calculator is an easy way to get that information.

Loans, for example, will change in value depending on how much interest and principal remains to be paid. An amortization calculator is thus useful for understanding the long-term cost of afixed-rate mortgage, as it shows the total principal that you’ll pay over the life of the loan. It’s also helpful for understanding how your mortgage payments are structured.

Key Takeaways

  • When you have a fully amortized loan, like a mortgage or a car loan, you will pay the same amount every month. The lender will apply a gradually smaller part of your payment toward interest and a gradually larger part of your payment toward the principal until the loan is paid off.
  • Amortization calculators make it easy to see how a loan’s monthly payments are divided into interest and principal.
  • You can use a regular calculator or a spreadsheet to do your own amortization math, but an amortization calculator will provide a faster result.

Estimate Your Monthly Amortization Payment

When you amortize a loan, you pay it off gradually through periodic payments of interest and principal. A loan that is self-amortizing will be fully paid off when you make the last periodic payment.

The periodic payments will be your monthly principal and interest payments. Each monthly payment will be the same, but the amount that goes toward interest will gradually decline each month, while the amount that goes toward principal will gradually increase each month. The easiest way to estimate your monthly amortization payment is with an amortization calculator.

Amortization Calculator Results Explained

To use an amortization calculator, you’ll need these inputs:

  • Loan amount: How much do you plan to borrow, or how much have you already borrowed?
  • Loan term: How many years do you have to repay the loan?
  • Interest rate: What is the lender charging you annually for the loan?

With these inputs, the amortization calculator will calculate your monthly payment.

For example, if your mortgage is $150,000, your loan term is 30 years, and your interest rate is 3.5%, then your monthly payment will be $673.57. The amortization schedule will also show you that your total interest over 30 years will be $92,484.13.

For this and other additional details, you’ll want to dig into the amortization schedule.

What Is an Amortization Schedule?

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.

Using the same $150,000 loan example from above, an amortization schedule will show you that your first monthly payment will consist of $236.07 in principal and $437.50 in interest. Ten years later, your payment will be $334.82 in principal and $338.74 in interest. Your final monthly payment after 30 years will have less than $2 going toward interest, with the remainder paying off the last of your principal balance.

How Can You Calculate an Amortization Schedule on Your Own?

A loan amortization schedule is calculated using the loan amount, loan term, and interest rate. If you know these three things, you can use Excel’s PMT function to calculate your monthly payment. In our example above, the information to enter in an Excel cell would be =PMT(3.5%/12,360,150000). The result will be $673.57.

Once you know your monthly payment, you can calculate how much of your monthly payment is going toward principal and how much is going toward interest using this formula:

Principal Payment = Total Monthly Payment -[Outstanding Loan Balance × (Interest Rate/12 Months)]

Multiply $150,000 by 3.5%/12 to get $437.50. That’s your interest payment for your first monthly payment. Subtract that from your monthly payment to get your principal payment: $236.07.

Next month, your loan balance will be $236.07 smaller, so you’ll repeat the calculation with a principal amount of $149,763.93. This time, your interest payment will be $436.81, and your principal payment will be $236.76.

Just repeat this another 358 times, and you’ll have yourself an amortization table for a 30-year loan. Now you know why using a calculator is so much easier. But it’s nice to understand how the math behind the calculator works.

You can create an amortization schedule for an adjustable-rate mortgage (ARM), but it involves guesswork. If you have a 5/1 ARM, the amortization schedule for the first five years is easy to calculate because the rate is fixed for the first five years. After that, the rate will adjust once per year. Your loan terms say how much your rate can increase each year and the highest that your rate can go, in addition to the lowest rate.

How to Calculate Amortization with an Extra Payment

Sometimes people want to pay down their loans faster to save money on interest and might decide to make an extra payment or add more to their regular monthly payment to be put toward the principal when they can afford it.

For example, if you wanted to add $50 to every monthly payment, you could use the formula above to calculate a new amortization schedule and see how much sooner you would pay off your loan and how much less interest you would owe.

In this example, putting an extra $50 per month toward your mortgage would increase the monthly payment to $723.57. Your interest payment in month one would still be $437.50, but your principal payment would be $286.07. Your month two loan balance would then be $149,713.93, and your second month’s interest payment would be $436.67. You will already have saved 14 cents in interest! No, that’s not very exciting—but what is exciting is that if you kept it up until your loan was paid off, your total interest would amount to $80,545.98 instead of $92,484.13. You would also be debt-free almost 3½ years sooner.

Mortgage AmortizationIsn’t the Only Kind

We’ve talked a lot about mortgage amortization so far, as that’s what people usually think about when they hear the word “amortization.” But a mortgage is not the only type of loan that can amortize. Auto loans, home equity loans, student loans, and personal loans also amortize. They have fixed monthly payments and a predetermined payoff date.

Which types of loans do not amortize? If you can reborrow money after you pay it back and don’t have to pay your balance in full by a particular date, then you have a non-amortizing loan. Credit cards and lines of credit are examples of non-amortizing loans.

How Can Using an Amortization Calculator Help Me?

Our amortization calculator can help you do many things:

  1. See how much principal you will owe at any future date during your loan term.
  2. See how much interest you’ve paid on your loan so far.
  3. See how much interest you’ll pay if you keep the loan until the end of its term.
  4. Figure out how much equity you should have, if you’re second-guessing your monthly loan statement.
  5. See how much interest you’ll pay over the entire term of a loan, in addition to the impact of choosing a longer or shorter loan term or getting a higher or lower interest rate.

What Does Fully Amortizing Mean?

A fully amortizing loan is one where the regular payment amount remains fixed (if it is fixed-interest), but with varying levels of both interest and principal being paid off each time. This means that both the interest and principal on the loan will be fully paid when it matures. Traditional fixed-rate mortgages are examples of fully amortizing loans.

How Do You Calculate Depreciation?

Depreciation works similarly to amortization, but involves tangible assets over their useful life. The simplest form is straight-line depreciation, which is computed as: (cost of asset - salvage value) / useful life.

What Other Things Are Amortized Aside from Loans?

Amortization can be used to estimate the decline in value over time of intangible assets like capital expenses, goodwill, patents, or other forms of intellectual property. This is calculated in a similar manner to the depreciation of tangible assets, like factories and equipment.

The Bottom Line

An amortization calculator offers a convenient way to see the effect of different loan options. By changing the inputs—interest rate, loan term, amount borrowed—you can see what your monthly payment will be, how much of each payment will go toward principal and interest, and what your long-term interest costs will be. This type of calculator works for any loan with fixed monthly payments and a defined end date, whether it’s a student loan, auto loan, or fixed-rate mortgage.

Amortization Calculator (2024)

FAQs

What is the easiest way to calculate amortization? ›

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.

How do you calculate amortization value? ›

There is a mathematical formula to calculate amortization in accounting to add to the projected expenses. Amortization of an intangible asset = (Cost of asset-salvage value)/Number of years the asset can add value.

What is the formula for calculating amortization expense? ›

Subtract the residual value of the asset from its original value. Divide that number by the asset's lifespan. The result is the amount you can amortize each year. If the asset has no residual value, simply divide the initial value by the lifespan.

How to 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 most commonly used method of amortization? ›

There are several ways to calculate the amortization of intangibles. The most common way to do so is by using the straight line method, which involves expensing the asset over a period of time.

What is the formula for total amortization? ›

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.

Is there an Excel formula for amortization? ›

The beginning loan amount changes each month since a portion of the principal balance is being repaid as part of the monthly payment. Alternatively, we can use Excel's IPMT function, which has the following syntax: =IPMT(rate, per, nper, pv, [fv], [type]).

How to calculate amortised cost of a loan? ›

Amortised cost model
  1. (1)the amount at which the instrument was initially recognised;
  2. (2)MINUS any repayments of principal;
  3. (3)PLUS or MINUS cumulative amortisation, using the effective interest method, of the difference between the initial recognition amount and the maturity amount, and any fees or transaction costs;

How is amortized cost calculated? ›

The amortization amount is calculated by taking the cost of the intangible asset minus any salvage value, divided by the number of years in its useful life.

How do you calculate effective amortization? ›

Interest expense is calculated as the effective-interest rate times the bond's carrying value for each period. The amount of amortization is the difference between the cash paid for interest and the calculated amount of bond interest expense.

What is the formula for the monthly loan payment? ›

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.

How do you beat amortization? ›

To repay your amortized loans faster and get rid of the loan altogether, make these strategies an integral part of your loan-repayment plan:
  1. Add Extra Dollars to Your Monthly Payment. ...
  2. Make a Lump-Sum Payment. ...
  3. Make Bi-weekly Payments.
Mar 8, 2023

Which three methods are used to calculate amortized cost? ›

There are generally three methods for performing amortized analysis: the aggregate method, the accounting method, and the potential method. All of these give correct answers; the choice of which to use depends on which is most convenient for a particular situation.

What is the formula for amortization of simple interest? ›

Formula for calculating amortized interest

Here's how to calculate the interest on an amortized loan: Divide your interest rate by the number of payments you'll make that year. If you have a 6 percent interest rate and you make monthly payments, you would divide 0.06 by 12 to get 0.005.

How do I make my own amortization schedule? ›

How to create an amortization schedule in Excel
  1. Create column A labels. ...
  2. Enter loan information in column B. ...
  3. Calculate payments in cell B4. ...
  4. Create column headers inside row seven. ...
  5. Fill in the "Period" column. ...
  6. Fill in cells B8 to H8. ...
  7. Fill in cells B9 to H9. ...
  8. Fill out the rest of the schedule using the crosshairs.
Feb 3, 2023

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