When an investment grows over several years, its value can change significantly from the amount originally invested. But simply looking at the beginning and ending values does not tell you the average annual growth rate.
This is where Compound Annual Growth Rate (CAGR) becomes useful.
CAGR is a commonly used financial measurement that shows the average yearly growth rate of an investment over a specific period, assuming the investment grew at a steady compounded rate.
For example, imagine an investment grows from $10,000 to $15,000 over five years. The total growth is $5,000, or 50%. However, saying that the investment grew by 10% every year would not be mathematically accurate because the growth compounds over time.
CAGR converts the beginning value, ending value, and investment period into one annualized growth rate.
This makes it easier to compare investments, businesses, revenue, sales, or other values that have grown over multiple years.
How Is CAGR Calculated?
The standard CAGR formula is:
CAGR = (Ending Value ÷ Beginning Value)^(1 ÷ Number of Years) − 1
To express the result as a percentage, multiply the final result by 100.
For example, suppose you invest $10,000, and after five years your investment is worth $16,105.
Using the formula:
CAGR = (16,105 ÷ 10,000)^(1 ÷ 5) − 1
The result is approximately 10%.
This means the investment had a CAGR of about 10% per year over the five-year period.
CAGR is particularly useful because it reduces a multi-year growth period into a single annualized percentage. This makes comparisons much easier.
For example, suppose one business increased its revenue from $500,000 to $800,000 over four years, while another increased from $500,000 to $900,000 over six years.
Looking only at the total increase may not provide a fair comparison because the businesses had different time periods. CAGR provides an annualized measurement that can help make the comparison more meaningful.
You can also use CAGR for more than investments. Businesses may use it to measure revenue growth, customer growth, sales growth, market expansion, or other metrics over time.
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A calculator can make CAGR calculations much faster because you only need to enter the beginning value, ending value, and number of years.
CAGR vs Total Growth
CAGR and total growth describe different things.
Total growth tells you how much an investment or value increased during the entire period.
CAGR tells you the equivalent annual compounded growth rate over that period.
For example, if an investment grows from $10,000 to $20,000, the total growth is 100%. But if that growth happened over several years, the CAGR would be considerably lower than 100% per year.
This distinction is important when evaluating investments or comparing business performance.
CAGR also assumes a smooth annual growth rate for calculation purposes. Real-world investments rarely grow at exactly the same rate every year.
An investment might gain 20% one year, fall 8% the next year, and gain another 15% later. CAGR does not describe those individual yearly changes. Instead, it represents the constant annual growth rate that would produce the same beginning-to-ending result over the same period.
Why Is CAGR Useful?
CAGR is useful because it provides a simple way to understand long-term growth.
Investors can use it to compare historical investment performance. Businesses can use it to evaluate revenue or sales growth. Analysts can use it to compare different growth periods.
However, CAGR should not be viewed as a prediction of future performance. A historical CAGR does not guarantee that an investment or business will continue growing at the same rate.
When analyzing an investment, it is also useful to consider volatility, risk, fees, inflation, dividends, and other factors rather than relying on CAGR alone.
CAGR is best understood as a summary measure of annualized growth, not a complete measure of investment performance.
If you know the starting value, ending value, and number of years, calculating CAGR is straightforward. For larger datasets or quick comparisons, a CAGR calculator can eliminate manual calculations and reduce the chance of arithmetic errors.
Frequently Asked Questions
1. What does CAGR stand for?
CAGR stands for Compound Annual Growth Rate. It represents the average annual compounded growth rate of an investment or value over a specified period.
2. What is the CAGR formula?
The formula is CAGR = (Ending Value ÷ Beginning Value)^(1 ÷ Number of Years) − 1. Multiply the result by 100 to express it as a percentage.
3. Is CAGR the same as annual return?
Not exactly. CAGR represents the constant annual compounded growth rate required to move from the beginning value to the ending value over a period. Actual annual returns can vary significantly from year to year.
4. Can CAGR be used for investments?
Yes. CAGR is commonly used to describe the historical growth of investments. However, it should not be treated as a guarantee or prediction of future returns.