# What is Compound Annual Growth Rate (CAGR)?

The Compound Annual Growth Rate, or CAGR, is the calculated rate of return required for an investment to increase from its initial value to the value at the end of the investment period.

The Compound Annual Growth Rate, or CAGR, is the calculated rate of return required for an investment to increase from its initial value to the value at the end of the investment period. The CAGR calculation assumes that all profits generated through the investment are reinvested throughout the investment period at the CAGR.

The CAGR may be used to track performance or to project annual returns for investments. It is commonly used by investors to determine the annual growth rate of investments where cash flows are volatile and non-uniform.

The CAGR provides a relatively accurate measure of the return of an investment, while taking into account fluctuations in its value over time. In essence, while the CAGR depicts the growth rate of an investment assuming reinvested returns, this is not a true rate of return, but rather a reflection of the average return rate over time.

## Formula and Calculation of CAGR

The Compound Annual Growth Rate (CAGR) is calculated using the following formula:

The ending value of the investment is first divided by its initial value. The result is then put to the power of ‘1 divided by the investment period in years’. 1 is then subtracted from the result to derive the CAGR.

## Example of How to Use CAGR

An example of the CAGR being applied is if an investor purchased 100 shares of a company’s stock in 2015 at the share price of \$500 per share. This amounts to a total initial investment of \$50,000.

If the share price is \$1,500 after 5 years, the investment will be worth \$150,000 in total. Based on these figures, the CAGR can be calculated as follows.

This works out to a CAGR of approximately 24.57%, reflecting the rate of return of the investment based on the change in the investment value, assuming that the returns received throughout the 5 years are reinvested each year.

Read also: What is Dividend Yield?

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