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The generalised hyperbolic distribution and its subclass in the analysis of a new era of cryptocurrencies: Ethereum and its financial risk

Author

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  • Zhang, Yuanyuan
  • Chu, Jeffrey
  • Chan, Stephen
  • Chan, Brandon

Abstract

Ethereum was the first decentralised platform to support smart contracts. It has attracted significant publicity and captured the interests of a wide range of institutions, enthusiasts and even world leaders. We have analysed the market price index for all exchanges trading in Ethereum versus three global currencies, the Korean Won; Euro; US Dollar; Bitcoin, and the Global Price Index for Ethereum, through the fitting of the Generalised Hyperbolic distributions and its subclasses. Our results show that returns are clearly non-normal and the Generalised Hyperbolic and its subset of distributions fit well jointly for all of the indices. We also analyse the long term memory effect for the returns of Ether, compare the Value at Risk and Expected Shortfall based on historical Ether data and other financial instruments, and backtesting was also performed to test the extreme tails.

Suggested Citation

  • Zhang, Yuanyuan & Chu, Jeffrey & Chan, Stephen & Chan, Brandon, 2019. "The generalised hyperbolic distribution and its subclass in the analysis of a new era of cryptocurrencies: Ethereum and its financial risk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    • Handle: RePEc:eee:phsmap:v:526:y:2019:i:c:s037843711930490x
    DOI: 10.1016/j.physa.2019.04.136
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    Citations

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    Cited by:

    1. Chu, Jeffrey & Chan, Stephen & Zhang, Yuanyuan, 2020. "High frequency momentum trading with cryptocurrencies," Research in International Business and Finance, Elsevier, vol. 52(C).
    2. Ghosh, Indranil & Alfaro-Cortés, Esteban & Gámez, Matías & García-Rubio, Noelia, 2023. "Prediction and interpretation of daily NFT and DeFi prices dynamics: Inspection through ensemble machine learning & XAI," International Review of Financial Analysis, Elsevier, vol. 87(C).
    3. Chan, Stephen & Chu, Jeffrey & Zhang, Yuanyuan & Nadarajah, Saralees, 2022. "An extreme value analysis of the tail relationships between returns and volumes for high frequency cryptocurrencies," Research in International Business and Finance, Elsevier, vol. 59(C).
    4. Díaz, Antonio & Esparcia, Carlos & Huélamo, Diego, 2023. "Stablecoins as a tool to mitigate the downside risk of cryptocurrency portfolios," The North American Journal of Economics and Finance, Elsevier, vol. 64(C).
    5. Massing, Till & Ramos, Arturo, 2021. "Student’s t mixture models for stock indices. A comparative study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 580(C).
    6. Saralees Nadarajah & Emmanuel Afuecheta & Stephen Chan, 2021. "Dependence between bitcoin and African currencies," Quality & Quantity: International Journal of Methodology, Springer, vol. 55(4), pages 1203-1218, August.

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