Concept
CAGR
CAGR, also known as total return, annualized, is a Performance, Backtesting & Validation concept. First implementations are in the build queue: the write-up leads, the indicators follow.
What is CAGR?
CAGR, the compound annual growth rate, is the single constant yearly rate at which an account would have had to grow to get from its starting value to its ending value over the measured period. It is the standard way to state an annualized return, and it differs from a simple total return in that it accounts for compounding: a strategy that turns 100 into 200 over five years has a total return of 100 percent but a CAGR of roughly 14.9 percent, not 20 percent.
CAGR exists because raw total returns are not comparable across different track-record lengths. Annualizing puts a three-year backtest and a ten-year backtest on the same footing, and because it is geometric rather than arithmetic, it correctly reflects the path dependence of compounding: large losses hurt more than the same-sized gains help, and CAGR captures that automatically.
Traders care because CAGR is the headline growth number in nearly every backtest report and fund factsheet. Its equally important weakness is that it says nothing about risk. Two systems with identical CAGR can have wildly different volatility and drawdown profiles, which is why CAGR is almost always paired with a risk-adjusted measure such as the Sharpe ratio or the Calmar ratio before any comparison is taken seriously.
How it's calculated
CAGR is the geometric annualized return between two equity values.
Equivalently, CAGR is the geometric mean of the periodic growth factors, annualized.
For periods under one year, annualizing extrapolates a short sample and can grossly overstate what is sustainable; many practitioners simply report the unannualized return instead.
How traders use it
- Headline performance: CAGR is the default growth figure for comparing strategies, funds, and buy-and-hold benchmarks over different time spans on a common annual basis.
- Risk-adjusted ratios: CAGR is the numerator of the Calmar and MAR ratios and feeds most drawdown-based performance measures, so an inflated CAGR propagates into every ratio built on it.
- Compounding projections: given a CAGR estimate, traders project account growth over multi-year horizons, though such projections inherit all the fragility of assuming the past rate persists.
- Sanity checks: an out-of-sample or walk-forward CAGR far below the in-sample figure is a classic overfitting symptom worth investigating before deployment.
- Limitations: CAGR is start-date and end-date sensitive, ignores volatility and drawdowns entirely, and over short windows is dominated by luck, so it should never be the sole selection criterion.
CAGR vs. related concepts
Sharpe Ratio: CAGR measures growth alone; the Sharpe ratio divides excess return by volatility. A high-CAGR strategy can carry a poor Sharpe if the growth came with violent swings.
Calmar Ratio: The Calmar ratio is CAGR divided by maximum drawdown, converting the raw growth rate into growth per unit of worst historical pain.
Expectancy: Expectancy is the average result per trade; CAGR is the compounded result per year. A system can have positive expectancy but a mediocre CAGR if opportunities are rare.
Related concepts · Return/risk metrics
Concept family
Performance, Backtesting & Validation
30 concepts mapped · 30 in the Library
CAGR FAQ
What is the difference between CAGR and average annual return?
The arithmetic average of yearly returns ignores compounding and always equals or exceeds CAGR. After a 50 percent loss and a 50 percent gain the arithmetic average is zero, but the account is down 25 percent, which CAGR reflects correctly.
Is a higher CAGR always better?
No. CAGR carries no risk information, so a 30 percent CAGR earned with 60 percent drawdowns is often worse in practice than 15 percent with 10 percent drawdowns, especially once position sizing and psychology are considered.
How many years of data does a CAGR need to be meaningful?
There is no strict rule, but a CAGR from under one to two years is mostly noise and regime luck. Longer windows spanning multiple market conditions, ideally including out-of-sample data, are far more informative.
Does CAGR account for deposits and withdrawals?
Not in its basic form; cash flows distort the start-to-end value comparison. For accounts with flows, a time-weighted or money-weighted return calculation is the appropriate tool, with CAGR applied to the resulting return series.
Build CAGR your way.
Quant writes, tests, and refines it with you — then it runs on LuxAlgo charting or ports to TradingView.