Statistical Arbitrage in Cryptocurrencies using the Generalised Hurst Exponent


Ramos-Requena J. P., Bağcı M.

First International Meeting on Behavioral Social Sciences, Almería, İspanya, 23 - 24 Nisan 2026, ss.37, (Özet Bildiri)

  • Yayın Türü: Bildiri / Özet Bildiri
  • Basıldığı Şehir: Almería
  • Basıldığı Ülke: İspanya
  • Sayfa Sayıları: ss.37
  • Marmara Üniversitesi Adresli: Evet

Özet

This study demonstrates effectiveness of Generalised Hurst Exponent (GHE) based statistical

arbitrage strategy on high-volatile cryptocurrency market, using high-frequency data for the

2022–2023 period. The main objective is to evaluate the ability of the GHE approach to identify

profitable investment opportunities in an environment characterised by high volatility [1].

The dataset involves minute-by-minute closing prices of the 20 cryptocur- rencies with the

highest market capitalisation, traded against Bitcoin on the Binance exchange. These

cryptocurrencies represent approximately 90% of the total market capitalisation, which

guarantees the representativeness of the results [2]. The methodology is structured in three

phases: price normalisation and construction of the pair spread by minimising the Hurst exponent

(H) [3], weekly selection of pairs with H < 0.5, indicative of anti-persistent behaviour and

potential reversion to the mean [4], and execution of a trading strategy based on entry and exit

rules defined by standard deviations from the moving average of the spread [5]. We will include

transaction costs of 0.01% to avoid bias in overestimating the returns generated. The empirical

results show that the GHE-based strategy achieves pos- itive and stable annualised returns for

most of the period analysed. Like- wise, risk-adjusted performance indicators, such as the Sharpe

ratio and the Sortino ratio, show high values, while the maximum drawdown remains at low

levels, demonstrating adequate risk management. The coefficient of de- termination (R2) remains

close to unity, indicating a high explanatory power of the model. In conclusion, the study

validates the viability and robustness of the GHE as a pair selection tool in cryptocurrency

markets, highlighting its ability to adapt to high-frequency conditions. The findings provide

relevant empirical evidence for the quantitative finance literature and offer.

Keywords: Statistical Arbitrage, Cryptocurrencies, High-frequency, Generalized Hurst Exponent.

References

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