Compound Annual Growth Rate — the constant annual rate that would grow an investment from its beginning to ending value over the given period.
Total Return
The overall percentage gain or loss of an investment, not annualized.
Annualized Return
A return figure restated as an equivalent yearly rate, allowing apples-to-apples comparison across different time periods.
Doubling Time
The number of years required for an investment to double at the calculated CAGR, approximated by the Rule of 72.
Geometric Mean
CAGR is mathematically equivalent to the geometric mean of annual returns, which accounts for compounding effects.
Real-World Examples
Example 1
Stock Portfolio Growth
Beginning value: $10,000, Ending value: $25,000, Period: 8 years
Result: CAGR = 12.14%. The portfolio grew at an equivalent 12.14% per year, doubling roughly every 6 years.
Example 2
Real Estate Appreciation
Purchase price: $300,000, Current value: $420,000, Period: 5 years
Result: CAGR = 6.96%. The property appreciated at about 7% annually, outpacing typical 3% inflation.
CAGR Across Asset Classes (Historical Averages)
Asset Class
Typical CAGR
Volatility
Best For
S&P 500
~10%
High
Long-term growth
Real Estate
~6-7%
Medium
Income + appreciation
Bonds
~4-5%
Low
Capital preservation
Savings Account
~2-4%
None
Emergency funds
Understanding Compound Annual Growth Rate
Why CAGR Matters More Than Average Return
Average returns can be misleading because they ignore compounding. A portfolio that gains 50% then loses 50% has a 0% average return but actually lost 25% of its value. CAGR captures this reality by showing the actual equivalent annual growth rate.
CAGR vs. IRR
CAGR works best for lump-sum investments with no intermediate cash flows. If you made additional deposits or withdrawals during the period, IRR (Internal Rate of Return) gives a more accurate picture of your investment performance.
Limitations of CAGR
CAGR hides volatility — a smooth 10% CAGR could mask years of wild swings. It also assumes reinvestment at the same rate. Always consider CAGR alongside standard deviation and maximum drawdown for a complete picture.