Monthly Accrued Interest Calculator

Reviewed By: Scott Hickam (MBA, Finance)

Enter the principal amount and the annual interest rate into the calculator to determine the monthly accrued interest.

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Monthly Accrued Interest Formula

The following formula is used to calculate the monthly accrued interest for a given principal amount and annual interest rate.

I_m = (P \cdot r) / 12

Variables:

I_m is the monthly accrued interest
P is the principal amount
r is the annual interest rate (as a decimal)

To estimate the monthly accrued interest using a nominal annual rate, multiply the principal amount by the annual interest rate (as a decimal), then divide the result by 12 to get the monthly interest.

What is Monthly Accrued Interest?

Monthly accrued interest is the amount of interest that accumulates on a principal amount over the course of a month. A common simple-interest estimate uses a nominal annual interest rate and divides by 12 to estimate one month of interest; however, in many real accounts and loans, accrued interest is calculated daily using a day-count convention, so the exact amount for a given month can vary. Accrued interest is important for understanding how much interest will be owed or earned over time, and it is commonly used in various financial contexts such as loans, savings accounts, and investments.

How to Calculate Monthly Accrued Interest?

The following steps outline how to calculate the Monthly Accrued Interest.

First, determine the principal amount (P).
Next, determine the annual interest rate (r) and convert it to a decimal by dividing by 100.
Next, calculate the monthly accrued interest using the formula I_m = (P * r) / 12.
Finally, calculate the Monthly Accrued Interest.
After inserting the values and calculating the result, check your answer with the calculator above.

Example Problem :

Use the following variables as an example problem to test your knowledge.

Principal Amount (P) = $10,000

Annual Interest Rate (r) = 5%