Is CAGR and compound interest the same?

CAGR (Compound Annual Growth Rate) and compound interest are closely related, but they are not the same.

Compound interest is the interest earned on both the principal amount and the accumulated interest over time. This means that your money grows at an accelerating pace.

CAGR is a metric used to calculate the average annual growth rate of an investment over a specific period. It takes into account the compounding effect of interest.

Here's the formula for both CAGR and compound interest:

CAGR formula:

CAGR = (Ending Value / Beginning Value)^(1/Number of years) - 1

Compound interest formula:

Future Value = Principal Value * (1 + Interest Rate)^Number of years

To calculate the CAGR, you need the starting and ending values of the investment and the number of years. To calculate compound interest, you need the starting value, interest rate, and number of years.

Example:

Let's say you invest ₹1000 at a 5% annual interest rate for 5 years.

Compound interest calculation:

Future Value = 1000 * (1 + 0.05)^5 = ₹1276.28

CAGR calculation:

CAGR = (1276.28 / 1000)^(1/5) - 1 = 0.0475 or 4.75%

As you can see, both calculations give the same result of a 4.75% annual growth rate.

The CAGR is slightly different from the stated annual interest rate of 5% due to the compounding effect. The CAGR takes into account the fact that the interest earned in each year is also invested and earns interest in subsequent years.