What Is CAGR (Compound Annual Growth Rate)? How to Calculate It

CAGR stands for Compound Annual Growth Rate. It is the rate of return that would be required for an investment or financial metric to grow from its beginning balance to its ending balance, assuming the profits were reinvested at the end of each year of the holding period. CAGR smooths out the volatility of periodic returns, giving you a single, consistent annual growth rate that describes the path from start to finish.

CAGR is one of the most widely used metrics in finance and investing. It is used to measure the historical growth of company revenue, earnings, dividends, or stock prices over multiple years. It is also used to compare the performance of different investments, evaluate the growth of business segments, and set goals for future performance. Understanding CAGR is essential for any serious investor or analyst.

CAGR builds on the concept of revenue growth rates. If you have not already, read our guide on Understanding Revenue Growth Rate for the foundation on which CAGR analysis is built.

The CAGR formula is mathematically elegant but powerful:

CAGR = (Ending Value / Beginning Value)^{(1 / n)}− 1
Where n = number of years

Step-by-Step Calculation

To calculate CAGR, follow these steps. First, divide the ending value by the beginning value to get the total growth factor. Second, raise this result to the power of 1 divided by the number of years (or periods). Third, subtract 1 from the result. Fourth, multiply by 100 to convert to a percentage.

Using a Scientific Calculator

On a scientific calculator, the calculation would be: (Ending Value / Beginning Value) ^ (1 / n) - 1. In a spreadsheet, use the formula: =(Ending/Beginning)^(1/n)-1. Most spreadsheet software also has a built-in RRI function: =RRI(n, Beginning, Ending), which gives the CAGR directly.

The best way to understand CAGR is through practical examples applied to different financial metrics.

Revenue CAGR

A company had revenue of Rs 500 crore five years ago and revenue of Rs 1,000 crore today. The revenue CAGR is (1,000 / 500)^(1/5) - 1 = (2)^(0.2) - 1 = 1.1487 - 1 = 0.1487, or 14.87%. This means the company's revenue grew at an average annual rate of 14.87% over the five-year period, even though individual years may have seen higher or lower growth.

Earnings CAGR

A company's earnings per share grew from Rs 10 to Rs 25 over three years. The EPS CAGR is (25 / 10)^(1/3) - 1 = (2.5)^(0.333) - 1 = 1.357 - 1 = 0.357, or 35.7%. This indicates very strong earnings growth, which would typically be reflected in a higher stock price.

Investment CAGR

Suppose you invested Rs 1,00,000 in a mutual fund, and after 7 years the investment is worth Rs 2,50,000. The CAGR is (2,50,000 / 1,00,000)^(1/7) - 1 = (2.5)^(0.1429) - 1 = 1.1399 - 1 = 0.1399, or 13.99%. This tells you that your investment grew at an average of about 14% per year, compounded annually, over the 7-year period.

One of the most important reasons to use CAGR is that it accounts for compounding, while a simple average return does not. Consider an investment that returns 50% in year one and then loses 20% in year two. The simple average return is (50% + (-20%)) / 2 = 15%. But if you invested Rs 1,000, it would be worth Rs 1,500 after year one, and then Rs 1,200 after year two. The total return is 20% over two years, and the CAGR is (1,200 / 1,000)^(1/2) - 1 = 9.54% — far lower than the misleading 15% simple average.

The difference between the simple average and CAGR represents the volatility drag. The more volatile the returns, the larger this gap becomes. CAGR is always less than or equal to the arithmetic mean return, and the two are equal only when all period returns are identical. This is why CAGR is the correct measure of actual wealth creation — it tells you what you really earned, not what the average of the yearly numbers would suggest.

Why This Matters for Investors

Many inexperienced investors naively average annual returns and overestimate their actual performance. CAGR forces you to account for the compounding effect and the impact of losses. A 50% loss requires a 100% gain just to break even — CAGR captures this asymmetry, while a simple average does not. Always use CAGR when evaluating multi-period investment performance.

While CAGR is an excellent measure of smoothed growth, it has several important limitations. First, CAGR assumes smooth, steady growth over the entire period. It hides the volatility and risk that occurred along the way. Two investments can have the same CAGR but dramatically different risk profiles — one might have grown steadily at 12% each year, while the other might have fluctuated wildly between +50% and -30%.

Ignores Risk

CAGR does not account for risk, volatility, or the sequence of returns. An investment that achieves a 15% CAGR with high volatility is not necessarily better than one that achieves a 13% CAGR with low volatility, especially for an investor approaching retirement. Always pair CAGR with risk metrics like standard deviation, maximum drawdown, and the Sharpe ratio for a complete picture.

Assumes Reinvestment

CAGR assumes that all profits are reinvested at the same rate of return. In practice, you may not be able to reinvest dividends or capital gains at the same rate. For investments with regular cash flows (such as bonds paying coupon interest or stocks paying dividends), the actual return depends on what you do with those cash flows. CAGR may overstate or understate the real return depending on reinvestment assumptions.

Not Suitable for Irregular Periods

CAGR works best for complete annual periods and a single beginning and ending value. It is less suitable for investments with intermediate cash flows (additional investments or withdrawals during the period). For such cases, the Internal Rate of Return (IRR) or XIRR function in spreadsheets is more appropriate. CAGR also cannot be used meaningfully for periods shorter than one year.

While CAGR and IRR are related concepts, they serve different purposes and apply to different scenarios. CAGR is a simplified measure that looks at only two data points — a beginning value and an ending value — and assumes no intermediate cash flows. IRR is a more comprehensive measure that can handle multiple cash flows at different points in time.

When to Use Each

Use CAGR when you have a single initial investment and a single final value with no intermediate contributions or withdrawals. This makes CAGR ideal for comparing historical business metrics (revenue, earnings, book value) over a defined period. Use IRR or XIRR when evaluating investments with multiple cash flows — such as a systematic investment plan (SIP) where you invest every month, or a business project with ongoing capital expenditures and varying cash inflows.

Practical Application

For most fundamental analysis purposes — evaluating how fast a company's revenue, earnings, or book value has grown — CAGR is the right choice. It is simple to calculate, easy to understand, and allows direct comparison between companies and across time periods. Use our stock screener to find companies with consistent high CAGR across multiple financial metrics.

For a complete understanding of growth measurement, also explore our guides on Revenue Growth Rate and other growth-oriented metrics.

CAGR is one of the most powerful and widely used metrics in investing. Use it to measure business growth, evaluate investment performance, and set financial goals. Combine it with other metrics for a complete picture. Continue exploring our Fundamental Analysis Course to master the full toolkit of financial analysis. This content is educational and does not constitute financial advice.