CAGR (Compound Annual Growth Rate)

Quick Definition

CAGR (Compound Annual Growth Rate) is the rate at which an investment would have grown each year if it had grown at a steady annual rate over a given period. It smooths out the volatility of year-to-year returns into a single representative annual figure, making it the standard metric for comparing investment performance across different time periods.

CAGR = (Ending Value / Beginning Value)^(1/Number of Years) - 1

What It Means

If you invested $10,000 and ended up with $25,000 six years later, your CAGR would tell you the steady annual growth rate that would have produced that same result. You did not actually earn that rate every year. Some years were better, some were worse. CAGR gives you the equivalent constant rate.

Real investments do not grow at a steady rate. The S&P 500 returned +25% in 2024, +26% in 2023, and -18% in 2022. CAGR ignores the bumpy path and focuses on the outcome: how much did $1 become, expressed as an equivalent annual rate?

This makes CAGR the only fair way to compare:

• An investment that returned 50% in year 1, -20% in year 2, and 30% in year 3
• An investment that returned 18% each year for 3 years

Both might produce similar total returns, but CAGR reveals the equivalent annual growth rate for each.

CAGR Formula and Calculation

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

Where n = number of years

Example 1: Basic Stock Investment

• Beginning value: $10,000
• Ending value: $18,500
• Time period: 6 years
• CAGR = (18,500 / 10,000)^(1/6) - 1 = (1.85)^0.1667 - 1 = 10.8%

Example 2: S&P 500 Long-Term

• S&P 500 value in 1996: ~740
• S&P 500 value in 2025: ~5,900
• Time period: 30 years (price only, no dividends)
• CAGR = (5,900 / 740)^(1/30) - 1 = approximately 7.2% (price only)
• With dividends reinvested: approximately 10.4%

Example 3: Revenue Growth (Business Metric)

• Company revenue in 2020: $500M
• Company revenue in 2025: $850M
• CAGR = (850 / 500)^(1/5) - 1 = (1.70)^0.2 - 1 = 11.2% annual revenue growth

CAGR vs. Average Annual Return: A Critical Distinction

These are not the same, and the difference matters enormously.

Scenario: A $10,000 investment with these annual returns:

• Year 1: +50%
• Year 2: -40%
• Year 3: +30%

Simple average: (50% + (-40%) + 30%) / 3 = 13.3% average annual return

Actual calculation:

• After Year 1: $10,000 x 1.50 = $15,000
• After Year 2: $15,000 x 0.60 = $9,000
• After Year 3: $9,000 x 1.30 = $11,700

CAGR = ($11,700 / $10,000)^(1/3) - 1 = 5.4%

The simple average was 13.3% but the actual annualized return was only 5.4%. This gap is called volatility drag. Large losses require proportionally larger gains to recover. Losing 50% requires a 100% gain just to break even.

This is why CAGR is the honest measure and simple averages can be misleading. Fund companies sometimes advertise average annual returns that are higher than the actual CAGR. Always verify which metric is being quoted.

CAGR Benchmarks: What Good Looks Like

Based on NYU Stern's historical US equity return dataset (Damodaran) and S&P 500 data through 2025:

The S&P 500's ~10% long-term CAGR is the benchmark that active managers, hedge funds, and individual stock pickers must surpass to justify their fees over passive index fund investing.

Recent S&P 500 Annual Returns

The last 10 years (2016-2025) produced a CAGR of approximately 14.8%, well above the long-term average. This period included the 2022 bear market but was dominated by the post-COVID bull run and the AI-driven surge in technology stocks.

The Power of Small CAGR Differences

Small differences in CAGR compound into enormous wealth differences over long periods.

$10,000 invested for 30 years:

The difference between a 7% and 10% CAGR over 30 years is the difference between 7.6x and 17.4x your money. That is more than double the outcome from a 3 percentage point difference.

This is why minimizing fees matters so much. A 1% expense ratio that reduces your CAGR from 10% to 9% turns a $174,494 outcome into $132,677 over 30 years. That is a $41,817 difference on a $10,000 investment, all from a 1% annual fee.

CAGR for Business Analysis

CAGR is used extensively to communicate company growth rates:

Investors typically pay premium P/E multiples for companies with high revenue and earnings CAGR because high growth rates, if sustained, justify higher current valuations.

Rolling Returns and Why Time Horizon Matters

The S&P 500's rolling returns demonstrate why time in the market matters more than timing the market:

Over every 30-year period in the S&P 500's history, the worst case was still a positive return. The data covers 1871 through 2025 using Robert Shiller's compiled dataset. Time in the market dramatically narrows the range of outcomes.

Key Points to Remember

• CAGR = (End/Start)^(1/n) - 1, the annualized equivalent return over any period
• CAGR always tells the truth about returns; simple averages overstate returns due to volatility drag
• The S&P 500's historical CAGR is approximately 10% with dividends reinvested (1928-2025)
• The last 10 years (2016-2025) produced a CAGR of ~14.8%, well above the long-term average
• Small CAGR differences compound into massive wealth differences over decades
• A 1% fee reducing CAGR from 10% to 9% costs $41,817 over 30 years on a $10,000 investment
• CAGR is used for both investment returns and business revenue/earnings growth measurement

Common Mistakes to Avoid

• Using simple average returns instead of CAGR: Fund companies sometimes advertise average annual returns that are higher than the actual CAGR. Always verify which is being quoted. The arithmetic average of annual returns is always higher than the geometric average (CAGR) when there is any volatility.
• Comparing CAGR over different time periods: A 10-year CAGR of 15% during a bull market tells a different story than a 30-year CAGR of 10% through multiple cycles. Always compare CAGRs over the same time horizon.
• Projecting historical CAGR indefinitely: Past performance does not guarantee future results. Using the S&P 500's recent 14.8% CAGR for 30-year projections would be overly optimistic. Most financial advisors use a conservative 6-7% real return assumption for retirement planning.
• Ignoring volatility: A 20% CAGR with extreme swings (losing 60% some years) may produce worse risk-adjusted outcomes than a 12% CAGR with moderate volatility. The Sharpe ratio measures return relative to risk taken.

Related Concepts

• Compound Interest: The mathematical mechanism behind CAGR
• ROI: Total return on investment, which does not account for time
• APY: Annual Percentage Yield, a related concept for savings and deposit accounts
• Time Value of Money: The foundational principle that money today is worth more than money tomorrow
• Volatility: The reason CAGR differs from simple average returns
• Sharpe Ratio: Measures risk-adjusted returns, complementing CAGR

To see how CAGR plays out with regular contributions, try our investment return calculator or compound interest calculator. For a deeper understanding of how compounding works, read our guide on dollar cost averaging.

Frequently Asked Questions

Q: How do I calculate CAGR on a calculator? A: Divide ending value by beginning value. Press the y^x or x^y key, then enter 1 divided by the number of years. Press equals. Subtract 1. Multiply by 100 for the percentage. For example: $18,500 / $10,000 = 1.85. Press y^x, enter 0.1667 (for 6 years = 1/6). Result: 1.108. Subtract 1: 0.108. Multiply by 100: 10.8% CAGR.

Q: What is the difference between CAGR and IRR? A: CAGR measures the growth of a single lump-sum investment. IRR (Internal Rate of Return) handles multiple cash flows at different times, which is useful for investments with ongoing contributions or distributions like real estate or private equity.

Q: Is a higher CAGR always better? A: Generally yes, but not without considering risk. A 20% CAGR with extreme volatility (losing 60% some years) may produce worse risk-adjusted outcomes than a 12% CAGR with steady, moderate volatility. The Sharpe ratio measures return relative to risk taken.

Q: What CAGR should I use for retirement planning? A: Most financial advisors recommend using a conservative 6-7% real return (after inflation) for stock-heavy portfolios, rather than the full historical nominal CAGR of ~10%. This builds in a margin of safety and accounts for the possibility of lower future returns.