CAGR Explained: How to Calculate Compound Annual Growth Rate

CAGR (Compound Annual Growth Rate) is the single most useful number for understanding how an investment actually performed over time. Unlike average annual returns that can be misleading, CAGR tells you the smoothed annual rate at which your investment grew from start to finish, assuming profits were reinvested each year.

The CAGR Formula

CAGR = (Ending Value / Beginning Value)^(1/n) - 1

Where n is the number of years.

Example: You invested $10,000 and it grew to $18,500 over 5 years.

CAGR = ($18,500 / $10,000)^(1/5) - 1
CAGR = (1.85)^(0.2) - 1
CAGR = 1.1308 - 1
CAGR = 13.08%

Your investment grew at an equivalent steady rate of 13.08% per year, even though actual year-to-year returns varied wildly.

CAGR vs Average Return: Why It Matters

Consider an investment with these annual returns: +50%, -30%, +40%, -20%, +60%.

• Average return: (50 - 30 + 40 - 20 + 60) / 5 = 20% per year
• Actual outcome: $10,000 → $15,000 → $10,500 → $14,700 → $11,760 → $18,816
• CAGR: ($18,816 / $10,000)^(1/5) - 1 = 13.47%

The average return of 20% dramatically overstates performance. CAGR’s 13.47% reflects what actually happened to your money. This gap exists because losses hurt more than gains help — a 50% loss requires a 100% gain to recover.

Real-World CAGR Examples

Investment	Period	CAGR
S&P 500 (total return)	1993–2023	~10.2%
S&P 500 (after inflation)	1993–2023	~7.5%
US Housing (median price)	1993–2023	~4.5%
Gold	2003–2023	~8.7%
Bitcoin	2013–2023	~77%
US Inflation (CPI)	1993–2023	~2.7%

These numbers illustrate why context matters. The S&P 500’s 10.2% nominal CAGR drops to 7.5% real CAGR after inflation. Housing’s 4.5% looks modest until you factor in leverage — a 20% down payment on a home that appreciates 4.5% annually yields a much higher CAGR on the invested capital.

Limitations of CAGR

CAGR is powerful but has blind spots:

Ignores volatility. Two investments can have identical CAGRs but vastly different risk profiles. An investment returning steady 8% annually and one swinging between -40% and +80% might both show 8% CAGR, but they’re very different experiences.

Ignores cash flows. CAGR works for lump-sum investments. If you’re adding money regularly (like monthly contributions), you need IRR (Internal Rate of Return) or XIRR instead.

Period-dependent. Cherry-picking start and end dates dramatically changes CAGR. The S&P 500 CAGR from 2000–2010 was roughly 0% due to two crashes, but 2010–2020 was about 13.5%.

Doesn’t predict the future. Past CAGR tells you what happened, not what will happen. Market conditions, economic cycles, and countless factors make future returns uncertain.

For comparing investment options, analyzing business growth, or benchmarking portfolio performance, CAGR remains the go-to metric — just use it alongside volatility measures and over meaningful time periods.

Calculate instantly with our CAGR Calculator.