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What is CAGR (Compound Annual Growth Rate)?  Meaning & Formula

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If you have ever dived into investment planning or discussed growth rates, you have probably heard of CAGR or Compound Annual Growth Rate. But what exactly is it? Is it just another jargon term, or is it something you need to understand deeply? 

Let’s break it down to see how it can impact your financial decisions.

What is Compounding, and How Does It Work?

Before we explore CAGR, we need to understand what is compounding. Compounding refers to the process where the returns you earn on an investment generate further returns. 

This snowball effect is what makes compounding such a powerful force in finance. When we talk about the formula for compounding growth, we mean the systematic calculation of how money grows over multiple years at a steady rate.

Related Posts:

How Does Compounding Work  | What is Compounding

What is CAGR?

Now, let’s move to CAGR. Simply put, the Compound Annual Growth Rate (CAGR) shows how much your investment grows each year, assuming you reinvest the profits. It smooths out the ups and downs in growth. 

For example, if your portfolio grows 10% in the first year and 20% in the second, CAGR calculates a steady annual growth rate. This rate shows how much your portfolio would grow each year if the growth were consistent. It helps you compare investments and understand long-term performance more clearly.

Formula for Compounding Growth

The compound growth formula used to calculate CAGR is as follows:

CAGR =(Final balance/beginning balance)1/n – 1

Where:

  • Final Value is the value of your investment at the end of the investment period.
  • Beginning Value is the initial amount you invested.
  • n is the number of years the investment was held.

To calculate the Compound Annual Growth Rate (CAGR), follow these steps:

  1. Identify the starting value (initial investment) and the ending value (value at the end of the period).
  2. Determine the total number of years or periods over which the growth occurred.
  3. Apply the formula: CAGR =(Final balance/beginning balance)1/n – 1
  4. Multiply the result by 100 to express the CAGR as a percentage.

Let’s look at an example:

Let’s say you invested ₹50,000 in Tata Motors in December 2018 when the market price was ₹174. Six years later, the market price has risen to ₹779 in December 2024. Let’s use the CAGR formula to understand how your investment grew over this period.

1. Determine the Initial Investment and Ending Value:

  • Initial Investment: ₹50,000
  • Initial Share Price: ₹174
  • Number of Shares Purchased: ₹50,000 / ₹174/share = 287 shares
  • Ending Share Price: ₹779
  • Final Value: 287 shares * ₹779/share = ₹223,413

2. Calculate the CAGR:

  • Starting Value: ₹50,000
  • Final Value: ₹223,413
  • Number of Years (n): 6

Formula:

CAGR = (Final Value / Starting Value)^(1/n) – 1

Calculation:

CAGR = (₹223,413 / ₹50,000)^(1/6) – 1 CAGR = 1.374 – 1 CAGR ≈ 0.374 or 37.4%

YearStarting ValueEnding ValueGrowth Rate
2018₹50,000₹68,70037.4%
2019₹68,700₹94,59637.4%
2020₹94,596₹129,93237.4%
2021₹129,932₹179,26437.4%
2022₹179,264₹246,49737.4%
2023₹246,497₹339,26437.4%
2024₹339,264₹223,41337.4%

Interpretation:

The CAGR for your investment in Tata Motors is approximately 37.4%. This means your investment grew by an average of 37.4% annually over the 6 years.

Let’s understand this with another example. Suppose you invested ₹1,00,000 in a mutual fund, and after five years, the value grew to ₹1,61,051.

Given:

  • Beginning Value = ₹1,00,000
  • Final Value = ₹1,61,051
  • Number of Years (n) = 5

Here’s the calculation:

To calculate CAGR, we use the formula: CAGR = (Final Value / Beginning Value)^(1 / Number of Years) – 1.

Using the formula, we calculated the CAGR for this investment = 10%

This means your investment grew at an average annual rate of 10%.

CAGR is a valuable tool for investors. It simplifies investment comparisons by providing a consistent annual growth rate. This helps you understand how different investments performed, regardless of their starting size or how long you held them. Using CAGR, you can make better decisions about your investments and track their long-term success.

Related Post:

How to Calculate CAGR 

ALSO READ:

Why is CAGR an important metric for investments?

CAGR is not just a fancy term—it’s a critical metric for evaluating investments. Here’s why:

  1. Comparing Investments: Whether you’re comparing mutual funds, stocks, or bank deposits, the formula for compounding growth helps you understand which investment performed better.
  2. Tracking Goals: If you have long-term financial goals, like buying a house or funding education, CAGR can help gauge if your current investment strategy aligns with your desired growth rate.
  3. Simple Yet Powerful: CAGR gives you a single, clean number to work with, avoiding the confusion of inconsistent yearly returns.

Practical Applications of CAGR

CAGR is versatile and can be used in various scenarios:

  1. Investment Portfolios: Use the compound growth formula to measure the performance of your portfolio over the years.
  2. Business Revenue: Companies often use CAGR to show consistent revenue growth.
  3. Stock Market Analysis: A stock market advisor may rely on CAGR to assess long-term stock performance.

Limitations of CAGR

While CAGR is a fantastic tool, it’s not perfect. Here are a few limitations to keep in mind:

  1. Ignores Volatility: CAGR smoothens out growth rates, so it doesn’t reflect the ups and downs of investments.
  2. Assumes Consistency: It assumes the growth rate is steady, which is rarely the case in real-world scenarios.
  3. No Risk Assessment: CAGR doesn’t account for risks, making it essential to use other metrics alongside it.

Tips for Maximizing CAGR

  1. Start Early: The earlier you start investing, the more time compounding has to work its magic.
  2. Reinvest Returns: Always reinvest dividends or interest to maximize growth.
  3. Seek Expert Advice: A stock market advisor can help you select high-growth opportunities.

Conclusion

CAGR is more than just a number—it’s a window into your financial growth. By understanding and using the formula for compounding growth, you can unlock the potential of your investments. Whether you’re a beginner using a CAGR calculator or a seasoned investor comparing strategies with a stock market advisor, this concept is invaluable.

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FAQ

  1. What is CAGR? 

    CAGR, or Compound Annual Growth Rate, is a financial metric used to calculate an investment’s average annual growth rate over a specific period. It helps investors understand the historical performance of an investment and predict its future growth potential.

  2. Why is CAGR important? 

    CAGR provides a more accurate measure of investment performance than simple average returns. It accounts for the compounding effect, where returns are reinvested to generate further returns. By understanding CAGR, investors can make informed decisions about their investment portfolio.

  3. How can I use CAGR in my investment analysis?

    CAGR is a versatile tool that can be used to compare the performance of different investments, evaluate the historical returns of a specific investment, set realistic expectations for future returns, and assess the effectiveness of various investment strategies.

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I’m Archana R. Chettiar, an experienced content creator with
an affinity for writing on personal finance and other financial content. I
love to write on equity investing, retirement, managing money, and more.

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