Annualized Return (CAGR)
The compound annual growth rate that converts any holding period return into an equivalent yearly rate. Annualized return is the standard way to compare investments held for different time periods on a fair, apples-to-apples basis.
Quick Summary
- Formula: CAGR = (Ending Value / Beginning Value)^(1/years) − 1
- Also known as: CAGR (Compound Annual Growth Rate), geometric average return
- Use it to: Compare investments held for different time periods
- Key insight: Always lower than the simple average return when returns vary
What Is Annualized Return?
Annualized return (also called CAGR — Compound Annual Growth Rate) answers the question: "If my investment had grown at a steady, constant rate every year, what would that rate need to be to produce the same final result?"
Without annualization, you can't meaningfully compare investments. A 40% return sounds great — but is it over 2 years or 10 years? Annualized return puts everything on the same per-year basis. That 40% over 2 years is 18.3% annualized, while 40% over 10 years is only 3.4% annualized.
Crucially, annualized return accounts for compounding — the fact that gains in one year generate additional gains in subsequent years. This makes it fundamentally different from (and more accurate than) a simple average of yearly returns.
How to Calculate Annualized Return (CAGR)
This geometric formula finds the constant annual growth rate that, when compounded, produces the same final value as your actual investment.
Step-by-Step Example
You invested $50,000 five years ago. Today it's worth $82,000. What is your annualized return?
Step 1: Calculate the growth multiple
$82,000 / $50,000 = 1.64
Step 2: Take the nth root (where n = years)
1.64^(1/5) = 1.64^0.2 = 1.1039
Step 3: Subtract 1 to get the rate
1.1039 − 1 = 10.39% annualized
Your total return was 64% over 5 years, but the annualized return is 10.39%. This means $50,000 growing at exactly 10.39% per year for 5 years would reach the same $82,000.
CAGR vs Average Return: Why the Difference Matters
The simple average (arithmetic mean) of yearly returns is always higher than the annualized (geometric) return when returns vary. This difference is called volatility drag, and it can be dramatic:
| Scenario | Year 1 | Year 2 | Avg Return | CAGR | $100K becomes |
|---|---|---|---|---|---|
| Steady | +10% | +10% | 10.0% | 10.0% | $121,000 |
| Moderate swing | +30% | -10% | 10.0% | 8.2% | $117,000 |
| Wild swing | +50% | -30% | 10.0% | 2.5% | $105,000 |
| Extreme swing | +100% | -80% | 10.0% | -36.8% | $40,000 |
All four scenarios have the same 10% average return, but wildly different actual outcomes. The extreme swing scenario — despite a 10% "average" — actually lost 60% of the money. This is precisely why annualized return (CAGR) is the only honest measure of investment performance. Average return lies; CAGR tells the truth.
Annualizing Returns From Different Time Periods
The CAGR formula works for any time period — just express the duration in years:
| Period | Return | Years | Annualized |
|---|---|---|---|
| 3 months | +5% | 0.25 | 21.6% |
| 6 months | +8% | 0.5 | 16.6% |
| 18 months | +15% | 1.5 | 9.8% |
| 3 years | +40% | 3 | 11.9% |
| 10 years | +160% | 10 | 10.0% |
Caution with short periods: Annualizing returns from periods under 1 year can be misleading. A 5% gain in one month annualizes to 79.6%, but that pace is almost certainly unsustainable. Annualized returns become more meaningful and reliable over longer time periods (3+ years).
Real-World Example: Comparing Three Investments
Suppose you're evaluating three investments with different holding periods:
Tech Stock
- Bought: $10,000
- Now: $18,500
- Held: 3 years
- CAGR: 22.8%
Index Fund
- Bought: $25,000
- Now: $52,000
- Held: 7 years
- CAGR: 11.1%
Real Estate
- Bought: $200,000
- Now: $440,000
- Held: 12 years
- CAGR: 6.7%
The real estate had the highest total return (120%) but the lowest annualized return (6.7%) because it took 12 years. The tech stock's 85% total return over just 3 years translates to an impressive 22.8% CAGR. Without annualization, you might wrongly conclude the real estate was the best investment based on total dollars gained.
Historical Annualized Returns by Asset Class
Long-term annualized returns provide context for evaluating your own portfolio performance:
| Asset Class | Annualized Return | After Inflation |
|---|---|---|
| US Large-Cap Stocks (S&P 500) | ~10% | ~7% |
| US Small-Cap Stocks | ~12% | ~9% |
| International Developed Stocks | ~8% | ~5% |
| US Bonds (Aggregate) | ~5% | ~2% |
| 60/40 Balanced Portfolio | ~8% | ~5% |
| Cash / Money Market | ~3% | ~0% |
Approximate long-term historical averages (1926–2025). Past performance does not guarantee future results. Use these as benchmarks — if your portfolio's annualized return consistently trails the relevant benchmark, it may be time to reassess your strategy.
How Portfolio Genius Displays Annualized Return
Portfolio Genius automatically calculates annualized returns for every portfolio, making it easy to evaluate your performance:
- •Total return based — Includes dividends, interest, and capital gains for the most accurate picture (see total return)
- •Multi-period views — See annualized return for 1 year, 3 years, 5 years, and since inception
- •Benchmark comparison — Compare your annualized return directly against the S&P 500 and other indices
- •Risk-adjusted context — Annualized return shown alongside Sharpe ratio and max drawdown so you understand the risk taken to achieve those returns
Understanding your annualized return — and how it compares to relevant benchmarks — is the first step to making informed portfolio decisions.
Common Mistakes to Avoid
- •Using average return instead of CAGR — Simple averages always overstate actual performance when returns vary. A fund reporting "12% average annual return" might have a CAGR of only 9%. Always ask for the annualized (geometric) return.
- •Annualizing short-period returns — A 3% gain in one week annualizes to 365%, which is absurd. Only annualize returns from periods of 1 year or longer for meaningful comparisons. For shorter periods, report the actual period return.
- •Ignoring inflation — A 10% annualized return with 3% inflation is really only 7% in purchasing power. For long-term planning, always consider real (inflation-adjusted) annualized returns.
- •Comparing incompatible periods — Even annualized returns can be misleading if one investment's period included a bull market while another faced a bear market. Try to compare over similar or overlapping time periods when possible.
- •Forgetting to include all returns — Annualized return should be based on total return (including dividends and distributions), not just price return. Ignoring dividends dramatically understates long-term performance.
Frequently Asked Questions
What is the difference between annualized return and average return?
How do you calculate annualized return?
What is a good annualized return for a portfolio?
Is CAGR the same as annualized return?
Why does annualized return matter more than total return?
How does volatility affect annualized return?
Related Terms
Total Return
The complete return on an investment including price appreciation and income (dividends, interest).
Time-Weighted Return (TWR)
Measures portfolio performance independent of cash flows. Best for comparing manager performance.
Money-Weighted Return (MWR)
Measures actual investor return including the timing and size of cash flows. Shows your personal performance.
Risk-Adjusted Return
Return measured relative to the risk taken. Allows fair comparison between investments with different risk levels.
Benchmark
A standard (like S&P 500) used to measure portfolio performance. Enables apples-to-apples comparison.
Learn More
Real-Time Analytics: What the Numbers Mean
Understand every metric in your portfolio dashboard. Learn what Sharpe ratio, volatility, max drawdown, and other key analytics mean and how to use them to make better investment decisions.
Why 'Beating the S&P 500' Is a Misleading Benchmark
Just invest in Nasdaq and you'll 'beat' the S&P 500. That's the problem. Learn why comparing raw returns without risk-adjusted metrics like Sharpe ratio is meaningless.
Track Your Annualized Returns
Portfolio Genius calculates annualized returns and compares them against benchmarks automatically. See exactly how your portfolio is performing on a risk-adjusted basis.