Multifractality and sample size influence on Bitcoin volatility patterns

By Tetsuya Takaishi

Rating

1774
Battle Count: 82

Relevance

7/10
Highly relevant for volatility modeling in crypto markets. The finding that HE≈0.12-0.14 confirms rough volatility, which impacts option pricing, hedging, and risk management. The 1% relative error for 5-min RV validates common industry practice. Multifractality in RV suggests limitations of monofractal models (standard GARCH, rough Bergomi) and motivates more sophisticated volatility dynamics for trading strategies.

Implementation Complexity

5/10
MFDFA is a well-established algorithm with available implementations. The finite sample ansatz is a simple two-parameter fit. Main complexity lies in processing tick data to construct RV at multiple frequencies and performing rolling window analysis. The methodology is straightforward but requires careful handling of non-stationarity and proper detrending.

Reproducibility

3/5
The methodology (MFDFA, finite sample ansatz) is well-described with equations. Data source (Bitstamp tick data) is specified with date range. However, no code or processed data is explicitly provided. The fitting parameters are reported with uncertainties. The ansatz form and MFDFA procedure are reproducible given the data.

About this paper

Methodology: Multifractal Detrended Fluctuation Analysis (MFDFA) with Finite Sample Ansatz. Problem types: Time Series Forecasting, Risk Management, Density Estimation, Regression.

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