Compound Annual Growth Rate
Last reviewed: May 2026
CAGR — Compound Annual Growth Rate — answers: what steady annual return would have taken my investment from point A to point B? Unlike simple averages, CAGR accounts for compounding. $10K growing to $25K over 10 years has a 9.6% CAGR — a steady 9.6% compounded produces that exact result.1
| Year | Return | Value ($10K) |
|---|---|---|
| 1 | +40% | $14,000 |
| 2 | -20% | $11,200 |
| 3 | +30% | $14,560 |
| 4 | -10% | $13,104 |
| 5 | +25% | $16,380 |
Average return: 13%. CAGR: 10.4%. The arithmetic average overstates by 2.6 points because it ignores compounding asymmetry.2
| Asset Class | 20-yr CAGR | Volatility |
|---|---|---|
| S&P 500 | 9–11% | High |
| Bonds | 3–5% | Low |
| REITs | 8–10% | Moderate |
| Gold | 5–8% | Moderate |
CAGR measures the mean annual growth rate of an investment or metric over a specified period, smoothing out volatility to show the steady rate that would produce the same end result. The formula: CAGR = (Ending Value / Beginning Value)^(1/n) − 1, where n is the number of years. If a stock portfolio grew from $10,000 to $25,000 over 8 years: CAGR = (25,000/10,000)^(1/8) − 1 = 2.5^0.125 − 1 = 12.13%. The portfolio grew as if it earned exactly 12.13% every year, even though actual annual returns varied.
CAGR and arithmetic average return are different — and the distinction matters. Consider an investment that returns +50% in Year 1 and −30% in Year 2. Arithmetic average: (50 − 30)/2 = 10%. But $100 → $150 → $105. Actual CAGR: (105/100)^(1/2) − 1 = 2.47%. The arithmetic average overstates performance by 4×. This "volatility drag" means that CAGR always ≤ arithmetic average for volatile investments. CAGR represents what actually happened to your money; arithmetic average represents what "typically" happened each year.
CAGR enables apples-to-apples comparison across different time periods and asset classes. S&P 500 CAGR (1928-2023): ~9.8% nominal, ~6.5% real (inflation-adjusted). U.S. real estate (1991-2023): ~4.1%. Gold (1971-2023): ~7.7%. U.S. Treasury bonds (1928-2023): ~4.6%. Comparing 5-year CAGRs reveals recent momentum; comparing 20+ year CAGRs reveals long-term asset class characteristics. A hedge fund claiming "15% average annual returns" may have a much lower CAGR if returns were volatile.
Beyond investments, CAGR applies to any metric tracked over time. Revenue CAGR measures business growth rate — investors expect 20-40% revenue CAGR from high-growth startups, 5-15% from established companies, and GDP-like 2-3% from mature businesses. Customer CAGR shows user acquisition momentum. Cost CAGR reveals whether expenses are growing faster or slower than revenue. In pitch decks and financial reporting, CAGR is the standard metric for presenting growth because it's not distorted by individual year fluctuations.
CAGR hides volatility — two investments with the same CAGR can have vastly different risk profiles. Investment A: steady 8% every year. Investment B: +30%, −10%, +25%, −5%, +15% (same CAGR of ~8%). Investment A is far safer despite identical CAGR. CAGR also assumes reinvestment of all returns, doesn't reflect intermediate cash flows (dividends, withdrawals), and is most meaningful over periods of 3+ years. For periods under 3 years, simple percentage change is often more informative. CAGR should always be presented alongside a risk metric (standard deviation, maximum drawdown) for investment comparison.
CAGR and average annual return can tell very different stories about the same investment. Consider a stock that gains 100% in Year 1 (doubling from $100 to $200) then loses 50% in Year 2 (falling back to $100). The average annual return is (100% + (-50%)) ÷ 2 = 25% — suggesting solid performance. But the CAGR is 0%, because the investment ended exactly where it started. CAGR reflects the actual compounded growth rate: the single constant rate that would take the beginning value to the ending value over the time period. Average return ignores compounding and always overstates actual performance when returns are volatile. This mathematical relationship (called volatility drag) means an investment losing 10% and gaining 10% in consecutive years doesn't break even — it finishes at 99% of its starting value. The more volatile the returns, the larger the gap between average and compound return. This is why CAGR is the standard metric for comparing investment performance across different time periods and asset classes.
The CAGR formula is: CAGR = (Ending Value ÷ Beginning Value)^(1/n) - 1, where n is the number of years. For a $50,000 investment that grew to $82,000 over 7 years: ($82,000 ÷ $50,000)^(1/7) - 1 = (1.64)^(0.1429) - 1 = 0.0733 or 7.33% annually. This means the investment grew as if it earned exactly 7.33% every year, even though actual annual returns varied. To project future values using CAGR: Future Value = Present Value × (1 + CAGR)^n. If a market segment has shown 12% CAGR over the past decade and you invest $25,000, projecting that rate forward gives $25,000 × (1.12)^10 = $77,646 in 10 years. The caveat: past CAGR doesn't guarantee future CAGR. It's a historical measure, not a prediction, and projections should use conservative estimates below historical rates to account for regression to the mean and changing market conditions.
Beyond investments, CAGR is the standard metric for measuring and projecting business growth. Revenue CAGR over 3-5 years shows whether a company is accelerating or decelerating: a SaaS company growing revenue from $2M to $10M over 4 years has a 49.5% CAGR, placing it in the high-growth category attractive to venture capital. Market research reports project industry size using CAGR: "The global EV market is expected to grow at a 23.1% CAGR from 2023 to 2030" tells investors both the rate and the compounding effect — at 23.1% CAGR, the market roughly doubles every 3.3 years. CAGR also enables fair comparisons between companies of different sizes: a startup growing from $1M to $5M in 3 years (71% CAGR) is growing faster than a large company going from $1B to $3B in the same period (44% CAGR), even though the large company added $2 billion in absolute revenue versus $4 million. Private equity firms use CAGR as a key metric in due diligence, typically looking for revenue CAGR above 15-20% for growth-stage companies and profit margin expansion alongside revenue growth.
CAGR's biggest limitation is that it hides the journey between start and end points. A company with a 20% 5-year CAGR might have grown 80% in the first year and been flat for four years, or it might have grown steadily at 20% annually — the CAGR is identical for both scenarios, but the implications are vastly different. CAGR also can't capture the timing of cash flows: an investor who adds money each year needs internal rate of return (IRR), not CAGR, to measure actual portfolio performance. For volatile datasets, report CAGR alongside standard deviation of annual returns to give a complete picture: "12% CAGR with 5% SD" describes a steady grower, while "12% CAGR with 30% SD" describes a roller coaster that happened to end well. In business contexts, supplement revenue CAGR with customer count CAGR and average revenue per customer trends to understand whether growth comes from acquiring new customers or extracting more from existing ones — a distinction with major strategic implications.
CAGR provides a practical framework for retirement planning, education savings, and debt analysis. To determine how much you need to save for retirement, work backward from your target: if you need $1.5 million in 25 years and expect a 7% CAGR from a diversified portfolio, you need a starting investment of $1,500,000 ÷ (1.07)^25 = $276,300 — or equivalent regular contributions. For college savings, the cost CAGR of tuition over the past 20 years has been roughly 5-6%, meaning a school charging $40,000 today will likely charge $64,000-72,000 in 10 years. Planning savings contributions against this growth rate ensures you're not saving for today's cost but for the cost at enrollment.
Historical CAGR data helps set realistic expectations. The S&P 500's nominal CAGR from 1928 to 2023 was approximately 9.8%, but adjusted for inflation, real CAGR drops to about 6.5-7%. US Treasury bonds returned roughly 4.5-5% nominal CAGR over the same period. Real estate (as measured by the Case-Shiller index) has shown approximately 3.5-4% nominal CAGR nationally, barely above inflation — challenging the common belief that housing is a great investment purely based on appreciation. Gold's CAGR since 1971 (when the gold standard ended) has been roughly 7-8% nominal. These benchmarks help investors evaluate claims: an advisor promising 15% annual returns over 20 years is proposing performance that exceeds nearly all major asset class historical averages, which should prompt scrutiny about the underlying strategy and risk involved. Remember that CAGR figures spanning decades include periods of both exceptional growth and devastating losses — no 10-year period is guaranteed to match the 50-year average.
Applying CAGR to salary growth reveals whether your earnings are keeping pace with inflation, industry standards, or personal targets. If your salary grew from $55,000 to $85,000 over 6 years, your salary CAGR is ($85K/$55K)^(1/6) - 1 = 7.5%. After subtracting ~3% inflation, your real salary CAGR is about 4.5%. Bureau of Labor Statistics data shows median wage CAGR of roughly 3-4% nominally across all occupations, so exceeding that indicates above-average career trajectory. Job changes typically produce 10-20% jumps that dramatically improve your long-term CAGR compared to staying at one employer where annual raises average 3-4%.
→ Use for comparisons. Only fair way to compare different holding periods.
→ Check volatility too. Same CAGR can have very different risk.
→ Adjust for inflation. Nominal CAGR minus inflation = real CAGR.
→ Use for business metrics. Revenue CAGR is standard in valuations.
See also: Compound Interest · ROI · Dividend · Standard Deviation