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What Is CAGR? Compound Annual Growth Rate Explained for Traders

· 2 min read
Vaanam
Build, Backtest, and Screen Trading Strategies

CAGR stands for Compound Annual Growth Rate. It tells you what your strategy's annualized return would be if it grew at a steady rate every year.

Why Not Just Use Total Return?​

Say a strategy returns 100% over 10 years. Sounds okay, right? But another returns 100% over 3 years. Clearly different — but "100% total return" doesn't tell you that.

CAGR normalizes returns to a per-year basis so you can compare strategies across different time periods.

The Formula​

CAGR = (Final Value / Initial Value) ^ (1 / Years) - 1

Example: You start with $100,000 and end with $434,835 after 20 years.

CAGR = (434,835 / 100,000) ^ (1/20) - 1
= 4.3483 ^ 0.05 - 1
= 0.0775
= 7.75%

So even though the total return is 334%, the annualized growth rate is 7.75%.

What's a Good CAGR?​

It depends on context:

BenchmarkTypical CAGR
S&P 500 (long-term)~10%
Risk-free rate (T-bills)~4-5%
Hedge funds (average)~8-12%

But CAGR alone doesn't tell the full story. A 15% CAGR with 50% max drawdown is very different from 15% CAGR with 10% max drawdown. Always pair CAGR with risk metrics like max drawdown, Sharpe ratio, or Calmar ratio.

CAGR vs. Average Return​

These are not the same. Average return ignores compounding.

  • Year 1: +50%, Year 2: -50%
  • Average return: 0%
  • Actual result: $100 → $150 → $75 (you lost 25%)
  • CAGR: -13.4%

CAGR reflects what actually happened to your money. Average return can be misleading.

Key Takeaway​

CAGR is the single best number for comparing strategy returns across different time periods. But never look at it in isolation — pair it with drawdown and risk-adjusted metrics for the full picture.