CAGR — Smart Financial Analysis
Apple's stock grew 6,000% in 20 years — but CAGR reveals it was a steady 23% per year. CAGR is the smoothed truth behind every volatile journey.
Why This Matters for Your Finances
Why: CAGR (Compound Annual Growth Rate) is the smoothed annual return that shows the constant growth rate needed to go from beginning value to ending value over a period. It eliminat...
How: Enter Beginning Value ($), Ending Value ($), Number of Years to get instant results. Try the preset examples to see how different scenarios affect the outcome, then adjust to match your situation.
- ●CAGR = (Ending Value / Beginning Value)^(1/years) - 1.
- ●CAGR is used to compare investment performance (stocks, funds, real estate), evaluate business revenue growth, and project future values.
- ●CAGR hides volatility — two investments can have the same CAGR but very different risk.
- ●CAGR is for single lump-sum investments with no intermediate cash flows.
📋 Quick Examples — Click to Load
📊 CAGR Comparison by Asset Class
S&P 500, Apple, Real Estate, Revenue Growth, Bonds, Inflation
📈 Growth Projection
$10,000 at 5%, 8%, 10%, 12% CAGR over 30 years
🎯 CAGR vs Simple Average
+100% then -50%: average 25%, CAGR 0% — you end where you started
💰 Value Over Time
Your investment growth at calculated CAGR
CAGR (Compound Annual Growth Rate)
Your investment grew at a smoothed rate of 9.60% per year. Total return: 150.00%. $1 invested would become $1.10.
⚠️For educational purposes only — not financial advice. Consult a qualified advisor before making decisions.
💡 Money Facts
CAGR analysis is used by millions of people worldwide to make better financial decisions.
— Industry Data
Financial literacy can increase household wealth by up to 25% over a lifetime.
— NBER Research
The average American makes 35,000 financial decisions per year—many can be optimized with calculators.
— Cornell University
Globally, only 33% of adults are financially literate, making tools like this essential.
— S&P Global
CAGR = (Ending Value / Beginning Value)^(1/years) - 1. It shows the smooth, constant annual growth rate that gets you from start to finish. The S&P 500's CAGR is ~10% since 1928. Apple's stock: CAGR 30%+ over 20 years, turning $10K into $2M. CAGR eliminates year-to-year volatility to show the true growth trend. Key difference from average: a stock going +100% then -50% has 25% average annual return but 0% CAGR (you end where you started!). CAGR is used in business plans, investment analysis, and revenue projections. Limitation: it hides volatility and assumes constant growth.
Sources: S&P Global, Damodaran NYU, CFA Institute, Investopedia.
Key Takeaways
- • CAGR = (End Value / Start Value)^(1/Years) - 1
- • CAGR vs average return — CAGR accounts for compounding; average doesn't.
- • The "volatility tax": a 50% loss needs a 100% gain to break even (CAGR captures this).
- • Rule of 72: years to double = 72 / CAGR.
Did You Know?
- • S&P 500 CAGR: ~10% since 1928 (S&P Global)
- • Apple's CAGR from IPO to 2024 is 30%+ — turning $10K into $2M
- • A portfolio that drops 50% then gains 50% has a CAGR of -13.4% not 0% (Investopedia)
- • Warren Buffett's CAGR at Berkshire is ~20% over 50 years
- • $1M → $5M in 5 years = 37.9% CAGR — common for high-growth startups
How It Works
The Formula
CAGR = (End Value / Start Value)^(1/Years) - 1. It annualizes total return into a single smoothed rate, accounting for compounding.
CAGR vs Average Return
Average return ignores compounding. A +50% then -50% sequence has 0% average but -25% actual loss. CAGR shows the true annualized growth.
The Volatility Tax
A 50% loss requires a 100% gain to break even. Volatility destroys wealth; CAGR captures this by smoothing returns.
Expert Tips
CAGR Hall of Fame
| Asset | CAGR | Period | Start → End |
|---|---|---|---|
| S&P 500 | ~10% | Since 1928 | ~$100 → ~$500K+ |
| Apple | 30%+ | 2004-2024 | $10K → $2M |
| Berkshire | ~20% | 50 years | Buffett era |
| Real Estate | ~7% | Long-term | Case-Shiller |
Frequently Asked Questions
What is CAGR?
CAGR (Compound Annual Growth Rate) is the smoothed annual return that shows the constant growth rate needed to go from beginning value to ending value over a period. It eliminates year-to-year volatility to reveal the true growth trend. Unlike simple average return, CAGR accounts for compounding.
What is the CAGR formula?
CAGR = (Ending Value / Beginning Value)^(1/years) - 1. For example: $10,000 growing to $25,000 over 10 years gives CAGR = (25000/10000)^(1/10) - 1 = 9.6%. Multiply by 100 for percentage.
CAGR vs average growth rate: what's the difference?
A stock going +100% then -50% has 25% average annual return but 0% CAGR — you end where you started! Average ignores compounding and volatility drag. CAGR shows the mathematically correct annualized growth that reflects actual wealth change.
How is CAGR used for investments?
CAGR is used to compare investment performance (stocks, funds, real estate), evaluate business revenue growth, and project future values. The S&P 500's CAGR is ~10% since 1928. Apple's stock: CAGR 30%+ over 20 years, turning $10K into $2M.
What are CAGR limitations?
CAGR hides volatility — two investments can have the same CAGR but very different risk. It assumes constant growth, which rarely happens. It doesn't account for cash flows (use IRR for that). Past CAGR does not guarantee future returns.
CAGR vs IRR: when to use which?
CAGR is for single lump-sum investments with no intermediate cash flows. IRR (Internal Rate of Return) is for investments with multiple cash flows (deposits, withdrawals). For a simple start-to-end value, CAGR is the right metric.
Key Formulas
CAGR = (Ending Value / Beginning Value)^(1/years) - 1
The smoothed annual growth rate.
Years to Double ≈ 72 / CAGR%
At your CAGR, how many years to double?
Sources
- • S&P Global — S&P 500 historical returns
- • Damodaran NYU — equity risk premiums and CAGRs
- • CFA Institute — investment performance measurement
- • Investopedia — CAGR definition and examples