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May 26, 2026Fractal and Fractional2 citationsOpen Access

Comparative Analysis of Cryptocurrency Market Efficiency and Local Features Using MF-DFA and DCC-GARCH

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DKDo-Hyeon KimJLJin LeeSCSun-Yong Choi

Key Points

  • This research aims to analyze time-varying market efficiency and correlations in cryptocurrency markets across different countries.
  • Used rolling-window multifractal detrended fluctuation analysis (MF-DFA) to assess market efficiency.
  • Applied dynamic conditional correlation–generalized autoregressive conditional heteroskedasticity (DCC-GARCH) on 11 cryptocurrency–fiat pairs.
  • Analyzed data from January 2018 to September 2025.
  • MF-DFA confirmed persistent multifractality and significant time variation in market efficiency.
  • DCC-GARCH revealed high return correlations of 0.96–0.98 for same-asset cross-fiat pairs, but near-zero efficiency correlations for cross-asset pairs.
  • Findings indicate that cryptocurrency market integration is multidimensional, globally synchronized in risk dynamics, but locally segmented in the quality of information processing.

Abstract

This study investigates time-varying market efficiency and cross-market correlations in cryptocurrency markets across South Korea, the United States, and Japan. Using rolling-window multifractal detrended fluctuation analysis (MF-DFA) and dynamic conditional correlation–generalized autoregressive conditional heteroskedasticity (DCC-GARCH), we analyze 11 cryptocurrency–fiat pairs—Bitcoin (BTC), Ethereum (ETH), Ripple (XRP), and Bitcoin Cash (BCH) denominated in Korean Won (KRW), US Dollar (USD), and Japanese Yen (JPY)—from January 2018 to September 2025. MF-DFA results confirm persistent multifractality and significant time-variation in market efficiency across all markets, consistent with the Adaptive Market Hypothesis (AMH). DCC-GARCH estimates reveal a structural divergence between return integration and efficiency correlations: return-based correlations for same-asset cross-fiat pairs are exceptionally high (mean dynamic conditional correlation of approximately 0.96–0.98), whereas efficiency-based correlations are far more heterogeneous, with cross-asset pairs approaching near-zero synchronization. We interpret the Kimchi Premium as a product of institutional frictions that impede price-level arbitrage while leaving volatility transmission largely unaffected. These findings suggest that cryptocurrency market integration is multidimensional—globally synchronized in risk dynamics, yet locally segmented in the structural quality of information processing.

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Cite This Study

Kim et al. (2026) studied this question.

synapsesocial.com/papers/6a1539ccb5d9c58d83e8ce06https://doi.org/10.3390/fractalfract10060353
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