Genome Analysis

Effective Annual Interest Rate: Definition, Formula, and Example

how to calculate effective interest rate

Credit card users tend to shop for groceries with a short-term loan from the bank. Check out our effective interest rate calculator and carried interest calculator. When you have a nest egg or investment, however, the effect of compounding becomes your friend. In this case, the more frequently interest is added to your money, the more interest that is earned on interest, meaning you get even more money. Therefore, the higher the compounding frequency, the higher the future value (FV) of your investment. If you are wondering how different compounding frequencies affect future values, check the table in our EAR calculator, where you can see more details on this subject.

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Banks will typically advertise the stated interest rate of 30% rather than the effective interest rate of 34.48%. The effective interest rate of 12%, compounded monthly, is approximately 12.683%, with a periodic rate of 1%. If you’re looking for an easy way to calculate the effective interest rate, use Omni Calculator’s effective interest rate calculator.

The effective interest rate formula – How to calculate the effective interest rate on loan?

For example, if a deposit with the stated interest rate is 15% compounded monthly, the banks will advertise 16.1% instead of 15%. Note that effective interest rates are not appealing to borrowers as it reflects higher costs. However, effective interest rates are appealing to savers as they will earn more with more compounding periods.

how to calculate effective interest rate

What Is an Effective Annual Interest Rate?

An effective annual interest rate is the real return on a savings account or any interest-paying investment when the effects of compounding over time are taken into account. It also reflects the real percentage rate owed in interest on a loan, a credit card, or any other debt. Since credit card nominal rates do not reflect compounding interest, one needs to calculate the effective annual interest rate to discover the real interest rate on both the interest payment and compounding period. A certificate of deposit (CD), a savings account, or a loan offer may be advertised with its nominal interest rate and effective annual interest rate. The nominal interest rate does not reflect the effects of compounding interest or even the fees that come with these financial products.

how to calculate effective interest rate

Example of Nominal, Real, and Effective Rates

  1. For this reason, it’s sometimes also called the “quoted” or “advertised” interest rate.
  2. As mentioned before, it can be very well used in comparing different kinds of investment opportunities or loan facilities taken under different capital structures.
  3. The term “interest rate” is one of the most commonly used phrases in the fixed-income investment lexicon.
  4. It is also called the effective interest rate, the effective rate, or the annual equivalent rate (AER).
  5. If the nominal rate on a loan is 5%, borrowers can expect to pay $5 of interest for every $100 loaned to them.

This is often referred to as the coupon rate because it was traditionally stamped on the coupons redeemed by bondholders. Although it can be done by hand, most investors will use a financial calculator, spreadsheet, or online program. Moreover, investment websites and other financial resources regularly publish the effective annual interest rate of a loan or investment. This figure is also often included in the prospectus and marketing documents prepared by the security issuers. Understand the psychological marketing approach of communicating effective annual interest rates. The effective annual interest rate is also known as the effective interest rate (EIR), annual equivalent rate (AER), or effective rate.

In case of the example above, you need to enter EFFECT(10%, 2) in the formula bar to get 10.25%. Investors and borrowers should also be aware of the effective interest rate, which takes the concept of compounding into account. In this scenario, while the nominal rate is 6%, the effective rate is 6.09%. For example, for a deposit at a stated rate of 10% compounded monthly, the effective annual interest rate would be 10.47%. Banks will advertise the effective annual interest rate of 10.47% rather than the stated interest rate of 10%.

It represents the true annual interest rate after accounting for the impact of compounding interest, and it is typically higher than the nominal interest rate. That’s why the effective annual interest rate is an important financial concept what is taxable and nontaxable income to understand. You can compare various offers accurately only if you know their effective annual interest rates. So based on nominal interest rate and the compounding per year, the effective rate is essentially the same for both loans.

Pete Rathburn is a copy editor and fact-checker with expertise in economics and personal finance and over twenty years of experience in the classroom. Charlene Rhinehart is a CPA , CFE, chair of an Illinois CPA Society committee, and has a degree in accounting and finance from DePaul University.

The stated annual interest rate and the effective interest rate can be significantly different, due to compounding. The effective interest rate is important in figuring out the best loan or determining which investment offers the highest rate of return. The table below shows the difference in the effective annual rate when the compounding periods change.

The effective annual rate formula is used to differentiate the actual Internal Rate of Return for an interest rate that may or may not compound multiple times over a given period. Even though both the loans have a stated annual interest rate of 10%, the effective annual interest rate of the loan that compounds four times a year will be higher. This interest rate calculator is a compact tool that allows you to estimate various types of interest rate on either a loan or deposit account. You may find yourself in a situation where you take a loan and you know only the due payments, or you keep money in a bank and you know only your initial deposit and the current balance.

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