# Compound Interest – Definition & Formula

Negosentro | Compound Interest – Definition & Formula | The study of compound interest, also known as the compounding factor of interest amount, began in the 17th century in Italy. This is correctly referred to as ‘interest on interest.’ This strategy is often used in making the total rise quicker than simple interest, which we learned in elementary school. Simple interest is computed just on the principal amount, whereas compound interest is known to be different and is calculated on both the principal and the compounded interest amount.

### What is Compound Interest?

Compound interest is calculated utilizing the principal amount as well as the amount of interest accumulated over the preceding periods in mathematics. Simple interest is not the same as compound interest. Since interest was not included in the process when calculating simple interest for the next period.

Compound interest is calculated on a regular basis, such as yearly, semi-annually, quarterly, monthly, etc; it is analogous to reinvesting interest income on investment to make the money increase faster over time! Compound interest does just that to money. Compound interest is the sole method used by banking sectors & other various organizations to calculate the amount.

### Formula to Calculate Compound Interest

Let’s know the formula to calculate the compound interest –

Compound Interest Formula = Principal (1+ ) ^ nt – Principal

In the preceding expression which shows the formula to calculate the compound interest for any given time period let’s know what each of the key variables represents,

The term P or Principal represents the main amount (for example – 60,000 rupees).

r denotes the interest rate (known as the rate of interest), the variable n denotes the frequency or number of times the interest is compounded yearly, and t denotes the total time duration.

### Key Variables in Compound Interest

When calculating compound interest, you must understand a few key concepts. Each has a distinct role to play in the final output, and some variables may have a substantial impact on your outcomes. Here are the five most important elements to understand when it comes to compound interest:

Interest – The rate at which you gain or are charged interest. The higher the rate, the more money you make or owe. To begin with the basics, how much income or cash do you have to start with? How much money did you borrow? While compounding grows over time, it is solely dependent on the initial deposit or loan amount.

Duration – For how long do you intend to hold an account or repay a loan? It is represented by the symbol t.

### Points you Need to Keep in Mind

The other name for Compound interest is compounding interest, it is defined as the interest calculated on a deposit or loan’s original principal plus any accumulated interest from previous periods.

Compound interest is calculated by multiplying the initial principal amount by one plus the rate of interest (yearly) further multiplied by the time (period) *1.

Interest can be contributed to the account at any time, either daily or annually.

When computing compound interest, the number of compounding periods has a significant impact.

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