What is Compound Interest?
Compound interest is a financial term that refers to the interest added to the principal amount of a loan or deposit, calculated on the initial sum and also on any previously accumulated interest. In simpler terms, it means that the interest you earn on your money is added to the principal amount, and then the interest is calculated on the new total.
For example, let’s say you invest $1,000 in a savings account with a 5% interest rate. At the end of the first year, you will earn $50 in interest. If you leave this money in the account, the interest earned will be added to the principal amount, making your new total $1,050. In the second year, you will earn interest on the new total amount of $1,050, which is $52.50. This process will continue, and the interest earned will gradually increase each year.
How to Calculate Compound Interest?
To calculate the compound interest, you need to know the principal amount, the interest rate, and the time period. You can use a simple formula to calculate it, which is:
A = P(1 + r/n)^(nt)
Where:
A = the total amount accumulated
P = the principal amount
r = the interest rate (in decimal)
n = the number of times per year the interest is compounded
t = the number of years
Let’s assume that you invested $5,000 in a fixed deposit account for 3 years with an annual interest rate of 7%, compounded annually. Here’s how you can calculate the total amount accumulated after three years:
A = 5000(1 + 0.07/1)^(1×3)
A = 5000(1.07)^(3)
A = $6,210.71
In this example, the interest is compounded annually, so we use ‘1’ as the value of ‘n.’ If the interest had been compounded semi-annually, we would use ‘2’ for ‘n,’ or ’12’ for monthly compounding.
Conclusion
Compound interest is an efficient way to earn interest on your savings, and it works best over a long period. Understanding how compound interest works and how to calculate it is essential in making smart financial decisions. Now that you know how to calculate compound interest, you can use the formula to determine the total amount of interest you can earn on your savings or investment over time.