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Investing & Wealth/ˈsiː.eɪ.dʒiː.ɑːr/

Compound Annual Growth Rate (CAGR)

The annualized rate of return required for an investment to grow from its beginning balance to its ending balance.

Plain-English Explanation

CAGR smooths out year-to-year stock market volatility to tell you what constant annual percentage return an investment would have achieved over a given time horizon.

Mathematical Formula
CAGR = (Ending Value / Beginning Value)^(1 / Years) - 1

Where Beginning Value is starting capital, Ending Value is final portfolio value, and Years is holding duration.

Real-World Worked Example

If an investment of $10,000 grows to $20,000 over 5 years, the CAGR is (20,000 / 10,000)^(1/5) - 1 = 14.87% per year.

Why Compound Annual Growth Rate (CAGR) Matters for Your Finances

CAGR allows apples-to-apples comparisons between different asset classes with varying return patterns over different timeframes.

Common Misconception

CAGR is a geometric smoothing metric, not a reflection of actual annual stock price movements in individual years.

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