EAR Calculator

EAR Calculator

Free online EAR calculator to convert a nominal annual interest rate and compounding frequency into effective annual rate. This calculator is useful for investors, savers, students, bankers, finance teams, and anyone comparing loans, deposits, or investments where compounding frequency affects the true yearly result. EAR stands for effective annual rate. It shows the real yearly rate after the compounding effect is included. Because nominal rate alone does not show the impact of monthly, quarterly, or daily compounding, EAR is often a better number for comparison.

This page uses two simple inputs. Nominal interest rate means the quoted yearly rate before compounding is applied. Compounds per year means how many times interest is added during one year. Once those values are entered, the calculator shows effective annual rate. This makes it easier to compare different products or scenarios using one yearly measure. Even small differences in compounding frequency can create a noticeable change in the true annual outcome, especially on large balances or when the quoted rate is higher.

The formula of effective annual rate

EAR = (1 + Nominal rate / Compounds per year) ^ Compounds per year – 1

Here nominal rate means the quoted annual rate before compounding is considered, compounds per year means the number of times interest is applied during one year, and EAR means the true effective annual rate after compounding is included. Because EAR includes compounding, it gives a clearer annual comparison than nominal rate by itself.

Solved Example

Example 1: Find the EAR if the nominal interest rate is 6% and interest compounds monthly.

Solve: EAR = (1 + 0.06 / 12) ^ 12 – 1

EAR = (1 + 0.005) ^ 12 – 1

EAR = 1.061678 – 1 = 0.061678 = 6.17%

Example 2: Find the EAR if the nominal rate is 8% and interest compounds quarterly.

Solve: EAR = (1 + 0.08 / 4) ^ 4 – 1

EAR = (1 + 0.02) ^ 4 – 1

EAR = 1.082432 – 1 = 0.082432 = 8.24%

Example 3: Find the EAR if the nominal rate is 10% and interest compounds daily.

Solve: EAR = (1 + 0.10 / 365) ^ 365 – 1

EAR = 1.105156 – 1 = 0.105156 = 10.52%

Table of EAR calculator

How to use this EAR calculator

Enter the nominal interest rate in the proper input field. After that, choose the compounding frequency from the available options such as annual, quarterly, monthly, or daily. Then click the calculate button. The calculator will show the effective annual rate in the result box.

This calculator is useful when comparing deposit products, loans, savings accounts, and investment offers that quote nominal rates but compound at different intervals. Monthly, quarterly, and daily compounding can all lead to different true annual results even when the quoted rate is the same. Converting those scenarios into EAR helps users compare them fairly on one basis. It is also useful in finance education because it shows how compounding changes the final yearly rate without requiring a long manual calculation every time.

When using the result, remember that EAR focuses on compounding and does not include taxes, fees, changing rates, minimum balance rules, or promotional conditions. It is best used as a clean rate-comparison tool. Even so, EAR remains one of the clearest ways to compare annual borrowing cost or annual savings yield across different compounding schedules. This calculator gives a fast numerical view that supports finance learning, product comparison, and more informed rate analysis.