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How To 45x Python Performance With C

July 19, 2022
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How To 45x Python Performance With C

How To 45x Python Performance With C

In today’s newsletter, I’m going to show you how to pick the right strategy for the right market regime with the Hurst Exponent.

If you apply a trend-following strategy to a mean-reverting market, you’ll get chopped up with false signals. If you apply a mean-reversion strategy to a trending market, you’ll keep fighting the trend and losing.

This simple mismatch has destroyed more trading accounts than bad risk management.

Most people try to fix this with more indicators. That’s wrong. Before you decide how to trade, you need to know what kind of market you’re in.

That’s exactly what the Hurst Exponent measures.

How to pick the right strategy with the Hurst Exponent

The Hurst Exponent (H) tells you whether a time series is:

  • Trending (H > 0.5) – strong moves that tend to continue.
  • Mean-reverting (H < 0.5) – prices that snap back toward an average.
  • Random walk (H = 0.5) – no exploitable pattern.

Developed by hydrologist Harold Hurst to model Nile River flooding, it’s now a core tool for quantitative finance. It works well because it doesn’t assume a normal distribution - it’s suited for fat-tailed financial returns.

Here’s how to use it step by step.

Step 1: Get Data

We’ll start with AAPL daily returns using yfinance.

Step 2: Compute the Hurst Exponent

We use the rescaled range (R/S) method — the same approach Hurst originally developed. This method splits the time series into chunks of increasing size, calculates the range of cumulative deviations scaled by the standard deviation, and fits a power law. The exponent is H.

Step 3: Interpret Results

The output for AAPL is around H = 0.42, suggesting slight mean-reversion:

Step 4: Choose Your Strategy

Based on the Hurst Exponent:

  • H > 0.5 → Use trend-following strategies (momentum, breakouts)
  • H < 0.5 → Use mean-reversion strategies (Bollinger Bands, RSI reversals)
  • H ≈ 0.5 → Don’t trade. It’s a coin flip.

For AAPL with H = 0.42, a mean-reversion approach makes more sense than trying to ride trends.

Next Steps

As a next step, you can compute the rolling Hurst Exponent using a 252-day window. This reveals how the market regime shifts over time and can signal when to switch strategies. Try running it on your favorite ETF or index to see which regime dominates right now.