Compound Annual Growth Rate (CAGR)

Written by True Tamplin, BSc, CEPF®

Reviewed by Subject Matter Experts

Updated on January 27, 2024

What is Compound Annual Growth Rate (CAGR)?

Explanation of CAGR

Compound Annual Growth Rate (CAGR) is a financial metric used to calculate the annual growth rate of an investment over a specified period, assuming that the investment has been compounding over time. CAGR provides a smoothed annual growth rate for an investment, effectively accounting for the volatility in the investment's value over the given period.

The formula for calculating CAGR is:

[CAGR = \left( \frac{EV}{BV} \right) ^ {\frac{1}{n}} - 1]

Where:
EV = Ending value of the investment
BV = Beginning value of the investment
n = Number of years

Importance of CAGR

CAGR is important for various reasons, including:

Evaluating Investment Performance

CAGR helps investors gauge the performance of their investments over multiple years, offering a more comprehensive view compared to simple annual growth rates.

Comparing Growth Rates of Investments or Companies

CAGR allows for the direct comparison of the growth rates of different investments or companies, irrespective of their initial or ending values.

Providing a More Accurate Representation of Growth Trajectory

By considering the compounding effect, CAGR provides a more accurate representation of an investment's growth trajectory, especially when there are significant fluctuations in value over the given period.

Calculating CAGR

Step-by-step Guide

To calculate CAGR, follow these steps:
1. Determine the beginning value and ending value of the investment.
2. Determine the number of years for which the CAGR is being calculated.
3. Use the CAGR formula to find the annual growth rate.

Practical Examples

For example, if an investment's value grows from $10,000 to $15,000 over a 5-year period, the CAGR can be calculated using the formula to determine the annual growth rate.

Practical Application of CAGR

Assessing Investment Performance

CAGR is widely used by investors to evaluate the performance of their investments, providing a more holistic view of growth over time.

Investment Decision-making

Investors use CAGR as a crucial factor in making investment decisions, especially when comparing different investment opportunities.

Comparing Growth Rates

When comparing investment options or assessing different companies, CAGR enables investors to compare growth rates on an equal footing, facilitating better decision-making.

Pros and Cons of CAGR

Advantages

  1. Simplicity: CAGR simplifies complex growth patterns into a single, understandable metric.
  2. Standardization: It allows for the standardization of growth rates, making comparisons easier.
  3. Long-term View: CAGR focuses on long-term growth, providing a more comprehensive perspective.

Limitations and Considerations

  1. Volatility: CAGR may not fully capture short-term volatility in investments.
  2. Assumes Steady Growth: It assumes a steady growth rate, which may not reflect the actual investment's performance.
  3. Sensitivity to Time Period: CAGR can be sensitive to the time period selected for calculation.

Conclusion

In conclusion, understanding CAGR is essential for investors and financial analysts as it provides a more accurate representation of an investment's growth trajectory over time. By offering a standardized metric for assessing growth rates, CAGR simplifies complex financial data, enabling better decision-making and comparison of investment opportunities. Despite its limitations, CAGR remains a valuable tool for evaluating investment performance and is widely used in the finance industry.

FAQs

1. What is a good CAGR?

A good CAGR is subjective and depends on the investor's goals, risk tolerance, and the investment's nature. Generally, a higher CAGR indicates stronger growth, but it's essential to consider the volatility and sustainability of the growth.

2. Can CAGR be negative?

Yes, CAGR can be negative, indicating a decline in the investment's value over the specified period. This is important to consider, especially when evaluating the performance of investments.

3. Is CAGR the same as average annual growth rate?

No, CAGR and average annual growth rate are different. CAGR considers the compounding effect, providing a smoothed annual growth rate, while the average annual growth rate simply averages the annual growth rates over the specified period.

4. Is CAGR used only for financial investments?

While CAGR is commonly used for evaluating financial investments, it can also be applied to measure the growth rates of various non-financial metrics, such as population growth, revenue growth, or sales growth.

5. How is CAGR used in forecasting future growth?

CAGR can be used as a basis for forecasting future growth by assuming that the historical growth rate will continue into the future. However, it's important to consider other factors and perform a comprehensive analysis when forecasting future growth based on CAGR.

About the Author

True Tamplin, BSc, CEPF®

True Tamplin is a published author, public speaker, CEO of UpDigital, and founder of Finance Strategists.

True is a Certified Educator in Personal Finance (CEPF®), author of The Handy Financial Ratios Guide, a member of the Society for Advancing Business Editing and Writing, contributes to his financial education site, Finance Strategists, and has spoken to various financial communities such as the CFA Institute, as well as university students like his Alma mater, Biola University, where he received a bachelor of science in business and data analytics.

To learn more about True, visit his personal website, view his author profile on Amazon, or check out his speaker profile on the CFA Institute website.

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