Compound Interest

What is Compound Interest and How Does it Work?

Compound interest is interest calculated on the initial principal as well as the accumulated interest from previous periods. It allows your money to grow faster over time compared to simple interest.

Why is Compound Interest Important for Financial Planning?

Compound interest plays a crucial role in financial planning because it enables individuals to build substantial wealth over the long term. By starting to invest early and allowing investments to compound over time, individuals can take advantage of the power of compounding to achieve their financial goals, such as retirement savings or purchasing a home.

How to Calculate Compound Interest?

The formula for calculating compound interest is: [Tex]A  = P(1 + \frac{R}{100})^{n}[/Tex]

What Are the Benefits of Compound Interest Investments?

Compound interest investments offer several benefits, including:

  • Faster growth of savings over time
  • Increased wealth accumulation through reinvestment of earnings
  • Diversification opportunities across various asset classes
  • Potential for passive income generation through interest payments or dividends


Compound Interest | Class 8 Maths

Compound Interest: Compounding is a process of re-investing the earnings in your principal to get an exponential return as the next growth is on a bigger principal, following this process of adding earnings to the principal. In this passage of time, the principal will grow exponentially and produce unusual returns.

Sometimes we come across some statements like “one year interest for FD in the bank @ 11 % per annum.” or “Savings account with interest @ 8% per annum”.  When it comes to investment, there are usually two types of interests :

  • Simple Interest
  • Compound Interest

We already know about Simple Interest(S.I), we will look at Compound Interest(C.I) in detail in this article. First, let’s understand what is compounding through a story. 

A Prisoner was once awaiting his death sentence when the king asked for his last wish.

The Prisoner demanded grain of rice (foolish demand right?) but added that the number of grain should be doubled after moving to every square till the last square of the Chess Board ( that is 1 on first, 2 on second, 4 on third, 8 on fourth, 16 on fifth and so on, till the 64th square).

The king thought that it is a very small demand and ordered his ministers to have that much amount of rice calculated and provided to the prisoner. The amount calculated was so big that the king lost his entire kingdom and was indebted to prisoner all of his life.

What the prisoner used was the idea of “Compounding“. Now, let’s define Compound Interest. 

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Compound Interest

Compound interest (or compounding interest) is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods. Thought to have originated in 17th-century Italy, compound interest can be thought of as “interest on interest,” and will make a sum grow at a faster rate than simple interest, which is calculated only on the principal amount. Let’s see an example before working out the formula,...

Formula for Compound Interest

Let’s derive the formula for compound interest by taking the previous example only, but this time we will not use the values for the variables.  [Tex]SI_{1} = \frac{P_{1} \times R}{100}   [/Tex]  Now, the amount at the end of first year will the principal for the second year, i.e [Tex]P_{2} = A_{1} = \frac{P_{1}R}{100} + P_{1} \\ \hspace{1.35cm} = P_{1}(1 + \frac{R}{100})[/Tex] So, now SI for 2nd year [Tex]SI_{2} = \frac{P_{2}R}{100}[/Tex] Calculating the amount for the 2nd year, [Tex]A_{2} = P_{2} + \frac{P_{2}R}{100} \\ \hspace{0.5cm} = P_{2}(1 + \frac{R}{100})[/Tex] Now using the value of P2 in the above equation, [Tex]A_{2} = P_{1}(1 + \frac{R}{100})(1+\frac{R}{100})\\ \hspace{0.5cm} = P_{1}(1 + \frac{R}{100})^{2}[/Tex] Similar if we keep calculating for “n” years, We’ll end up with this formula of amount [Tex]A  = P(1 + \frac{R}{100})^{n}[/Tex] where P is the initial principal amount, R is the rate and n is the number of years after which the amount is calculated....

Rate Compounded Annually or Half Yearly

You may notice that, in the beginning, we used “rate compounded yearly”. What does it mean?...

Applications of Compound Interest

Below are some of the applications of compound interest in real life:...

Compound Interest Class 8 Questions

1. A sum of $5000 is invested at an annual interest rate of 8% compounded annually. Find the amount of money after 3 years....

FAQs on Compound Interest

What is Compound Interest and How Does it Work?...

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