Compound interest is an important topic in mathematics and finance. It is the interest calculated not only on the original amount but also on the interest already earned in previous periods. This means the amount grows faster than simple interest.
Meaning of Compound Interest
Compound interest means “interest on interest.” When money is invested or borrowed, interest is added to the principal amount after a fixed time period. In the next period, interest is calculated on the new amount.
For example, if ₹10,000 is invested and interest is added every year, then after the first year, the interest becomes part of the amount. In the second year, interest is calculated on this increased amount.
Important Terms Used in Compound Interest
Principal: The original amount of money invested or borrowed.
Rate of Interest: The percentage at which interest is calculated.
Time: The duration for which money is invested or borrowed.
Amount: The final money received or paid after adding interest.
Compound Interest: The difference between the final amount and the principal.
Formula of Compound Interest
The formula for compound amount is:
A = P ( 1 + R 100 )T
Where:
A = Amount
P = Principal
R = Rate of interest per year
T = Time in years
Compound Interest = Amount − Principal
Example of Compound Interest
Find the compound interest on ₹5,000 at 10% per annum for 2 years.
Here,
P = ₹5,000
R = 10%
T = 2 years
A = 5000 ( 1 + 10 100 )2
A = 5000 × 1.21
A = ₹6,050
Compound Interest = Amount − Principal
Compound Interest = 6050 − 5000
Compound Interest = ₹1,050
So, the compound interest is ₹1,050.
Difference Between Simple Interest and Compound Interest
In simple interest, interest is calculated only on the principal amount. But in compound interest, interest is calculated on both the principal and the previous interest. Therefore, compound interest is usually greater than simple interest.
Uses of Compound Interest
Compound interest is used in banks, loans, savings accounts, fixed deposits, investments, and business calculations. It helps us understand how money grows over time.
Conclusion
Compound interest is a powerful concept because money increases faster when interest is added repeatedly. It is very useful in real-life situations such as savings, investments, and loans. Learning compound interest helps students understand financial growth in a better way.