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Easily see how your money grows over time with the power of compound interest.
Compound interest is calculated using the formula A = P(1 + r/n)^(n×t). It works by applying interest not only on your initial investment but also on the interest that has already been earned. The more frequently the interest is compounded, the faster your investment grows over time, giving you a total that combines both your principal and accumulated interest.
A = P(1+r/n)nt
Where:
- A = the future value of the investment
- P = the principal balance
- r = the annual interest rate (decimal)
- n = number of times interest is compounded per year
- t = the time in years
Example 1: Suppose you invest ₹50,000 in a fixed deposit account with an annual interest rate of 6%, compounded annually, for a period of 3 years.
After the first year, the interest earned would be ₹3,000 (6% of ₹50,000). In the second year, the interest is calculated on the new balance of ₹53,000, resulting in ₹3,180 interest. This process continues each year.
Year 1:
Initial Balance: ₹50,000
Interest Earned: ₹50,000 * 6% = ₹3,000
New Balance: ₹50,000 + ₹3,000 = ₹53,000
Year 2:
Initial Balance: ₹53,000
Interest Earned: ₹53,000 * 6% = ₹3,180
New Balance: ₹53,000 + ₹3,180 = ₹56,180
Year 3:
Initial Balance: ₹56,180
Interest Earned: ₹56,180 * 6% = ₹3,370.80 (rounded off to 2 decimal places)
New Balance: ₹56,180 + ₹3,370.80 = ₹59,550.80
After 3 years, the fixed deposit account would have a balance of ₹59,550.80.
Here's how to calculate monthly compound interest using our compound interest formula. Monthly compound interest means that our interest is compounded 12 times per year:
As a formula, it looks like this:
A = P(1 + r/12)^12tThe power of compound interest becomes easy to understand when visualized over time. For example, an initial investment of $1,000 at 10% annual interest over 20 years grows much faster than with simple interest or no interest. By looking at a growth chart, you can clearly see how compounding significantly increases your wealth over time.
Combining compound interest with regular monthly deposits is a powerful way to grow your money over time. For example, adding just Rs. 100 per month to an investment can grow your balance to Rs. 67,121 over 20 years, earning Rs. 33,121 in interest on total deposits of Rs. 34,000.
Starting contributions early allows your savings to compound more effectively, helping your wealth grow steadily over time and benefit from consistent investing.