# Compound Interest Formula

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Have you heard of the famous saying “Money makes money,” as a wise man once stated. And the money that money creates generates more money. Compound interest is interest earned on both the principal and interest over a certain time period. The interest that accumulates on a principal over time is likewise accounted for by the principal. Let us learn the compound interest formula to understand the concept better.

Compound interest enhances the long-term growth of your savings and investments. It, on the other hand, increases the amount of debt you owe over time. Here’s all you need to know about what Albert Einstein purportedly referred to as the world’s eighth wonder.

**What is Compound Interest?**

Compound interest is computed in mathematics using the principal amount as well as the interest accrued over the previous periods. The compound interest is not the same as the simple interest. Because interest is not included when computing interest for the next period in simple interest.

Compound interest is measured at regular intervals such as annually, semi-annually, quarterly, monthly, and so on; it is similar to reinvesting interest income from an investment to make the money grow faster over time! That is precisely what compound interest does to money. Banks and other financial institutions only use compound interest to compute the amount.

**Compound Interest Formula**

Compound Interest = Principal (1+ rn) ^ nt – P

In the preceding expression,

P represents the main amount.

r is the interest rate r is the interest rate (decimal), n is the frequency or number of times the interest is compounded yearly,

t is the total duration.

**Compound Interest – Key Variables**

You must grasp a few crucial elements when calculating compound interest. Each plays a unique function in the final product, and certain variables might have a significant influence on your results. Here are the five crucial factors in comprehending compound interest:

**Interest –**This is the rate of interest you earn or are charged. The greater the interest rate, the more you earn or the more you owe.**Starting with the Principle –**How much money do you have to begin with? How much money did you borrow? While compounding accumulates over time, it is entirely predicated on the initial investment or loan amount.**Compounding Frequency-**The frequency with which interest is compounded—daily, monthly, or annually—determines the rate at which a sum rises. Make sure you understand how often interest accumulates whether you take out a loan or create a savings account.**Duration –**How long do you plan on keeping an account or repaying a loan? It is denoted by the letter t.

**Key Takeaways**

- Compound interest (also known as compounding interest) is interest computed on the initial principal plus any accrued interest from prior periods on a deposit or loan.
- Compound interest is computed by multiplying the original principal amount by 1 plus the yearly interest rate multiplied by the number of compound periods multiplied by one.
- Interest can be added at any time, from daily to yearly.
- The amount of compounding periods makes a big effect when calculating compound interest.

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