Simple interest vs. Compound interest
Simple interest is when the interest rate offered by a bank is applicable only to the principal amount in your savings account and is calculated on an annual basis.
The formula for simple interest is:
Simple interest = Principal x Rate of interest x Time
Now, let us understand how a savings interest works.
Let's say you have Rs. 1,00,000 in a savings account with a simple interest rate of 2.00% APY. Using the formula, here is how much you would earn: 1,00,000 x 0.02 x 1 = Rs. 2,000.
That means you would earn Rs. 2,000 in a year, leaving you with a new balance of Rs. 1,02,000.
In compound interest, the rate of interest applies to both the principal and the interest generated by the principal, or accumulated interest. Compound interest is generally calculated either daily, monthly, or quarterly. The compounded interest is transferred to your account at the end of each statement period.
The formula for compound interest is,
A = P(1 + r/n)^nt
Where,
A: Total amount accumulated (initial principal + interest)
P: Initial principal amount
r: Annual interest rate (as a decimal)
n: Number of times the interest is compounded per year
t: Time in years (e.g., 6 months would be 0.5 years)
Now, if we were to use this formula for our above example, the interest compounded monthly, i.e., every month, your interest is added to your principal, and then the new higher amount is treated as principal next month for calculation of interest. The compound interest you will earn at the end of the year is Rs. 2,013.
Although this amount may seem negligible at present, over time and with a larger sum of invested capital, the gains can become significant. This is the power of compounding, which generates returns not just on principal but also on interest.
Hence, compounding increases the value of an account or principal amount faster than simple interest. The more often compounding occurs, the more your deposit value will grow with time.
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