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Jul 25, 2019·Periodicals of Engineering and Natural Sciences (PEN)
13 cites
Modelling multifractal properties of cryptocurrency market

Vasily Derbentsev, Liubov Kibalnyk, Yu. Radzihovska

The paper focuses on the study of the effect of long memory and the analysis of the multifractal properties of the time series of the most capitalized cryptocurrencies for the period from 2010 to 2018. To do this, the Hurst exponent is calculated by both R/S analysis and the Detrended Fluctuation Analysis being more stable in the case of non-stationary time series. Our results show that time series of cryptocurrencies to be persistent during almost the whole study period that do not allow accepting the hypothesis concerning the efficiency of the cryptocurrency market. We also found that (i) time series became anti-persistent during the periods of market crisis phenomena and turbulence; (ii) the Hurst exponents showed significant fluctuations about the value of 0.5. In addition, we conduct a multifractal analysis of cryptocurrency time series that allows us to assess the state and stability of the market.The calculated spectrum of multifractality shows that the cryptocurrency market comes out of a crisis state, since the width of the multifractality spectrum has the maximum value for all cryptocurrencies.

Open access
2 source records
Complex Systems and Time Series Analysis
Ecosystem dynamics and resilience
Financial Risk and Volatility Modeling
Original source
Jun 18, 2019·Future Internet
71 cites
Signatures of the Crypto-Currency Market Decoupling from the Forex

Stanisław Drożdż, Ludovico Minati, Paweł Oświȩcimka, Marek Stanuszek · 5 authors

Based on the high-frequency recordings from Kraken, a cryptocurrency exchange and professional trading platform that aims to bring Bitcoin and other cryptocurrencies into the mainstream, the multiscale cross-correlations involving the Bitcoin (BTC), Ethereum (ETH), Euro (EUR) and US dollar (USD) are studied over the period between 1 July 2016 and 31 December 2018. It is shown that the multiscaling characteristics of the exchange rate fluctuations related to the cryptocurrency market approach those of the Forex. This, in particular, applies to the BTC/ETH exchange rate, whose Hurst exponent by the end of 2018 started approaching the value of 0.5, which is characteristic of the mature world markets. Furthermore, the BTC/ETH direct exchange rate has already developed multifractality, which manifests itself via broad singularity spectra. A particularly significant result is that the measures applied for detecting cross-correlations between the dynamics of the BTC/ETH and EUR/USD exchange rates do not show any noticeable relationships. This could be taken as an indication that the cryptocurrency market has begun decoupling itself from the Forex.

Open access
2 source records
Complex Systems and Time Series Analysis
Chaos control and synchronization
Statistical Mechanics and Entropy
Original source
Jun 1, 2019·RePEc: Research Papers in Economics
1 cites
Signatures of crypto-currency market decoupling from the Forex

Stanis law Dro .zd .z, Ludovico Minati, Pawe l O 'swi kecimka, Marek Stanuszek · 5 authors

Based on the high-frequency recordings from Kraken, a cryptocurrency exchange and professional trading platform that aims to bring Bitcoin and other cryptocurrencies into the mainstream, the multiscale cross-correlations involving the Bitcoin (BTC), Ethereum (ETH), Euro (EUR) and US dollar (USD) are studied over the period between July 1, 2016 and December 31, 2018. It is shown that the multiscaling characteristics of the exchange rate fluctuations related to the cryptocurrency market approach those of the Forex. This, in particular, applies to the BTC/ETH exchange rate, whose Hurst exponent by the end of 2018 started approaching the value of 0.5, which is characteristic of the mature world markets. Furthermore, the BTC/ETH direct exchange rate has already developed multifractality, which manifests itself via broad singularity spectra. A particularly significant result is that the measures applied for detecting cross-correlations between the dynamics of the BTC/ETH and EUR/USD exchange rates do not show any noticeable relationships. This may be taken as an indication that the cryptocurrency market has begun decoupling itself from the Forex.

Complex Systems and Time Series Analysis
Theoretical and Computational Physics
Chaos control and synchronization
Original source
Mar 14, 2019·International Review of Finance
31 cites
Multifractal Detrended Fluctuation Analysis of Return on Bitcoin*

Keshab Shrestha

Abstract We revisit the issue of market efficiency of Bitcoin, which is an important part of the new financial technology (FinTech), by analyzing the Bitcoin returns using two recently developed analytical techniques called bipower variation method and Multifractal Detrended Fluctuation Analysis (MF‐DFA). MF‐DFA allows us to analyze the return series in ways not possible using a monofractal analytical techniques such as detrended fluctuation analysis (DFA) and R/S method. The bipower variation method suggests that the Bitcoin returns are efficient and contain some large finite jumps. Using MF‐DFA, we find that the Bitcoin returns are multifractal and, therefore, the Bitcoin market is not efficient. By carrying out further analysis, we also find that the multifractility and inefficiency are caused by the autocorrelated returns as well as extreme returns.

2 source records
Complex Systems and Time Series Analysis
Market Dynamics and Volatility
Chaos control and synchronization
Original source
Jan 6, 2019·Physica A Statistical Mechanics and its Applications
77 cites
The high frequency multifractal properties of Bitcoin

Stavros Stavroyiannis, Vassilios Babalos, Stelios Bekiros, Salim Lahmiri · 5 authors

No abstract is available for this record.

Open access
Complex Systems and Time Series Analysis
Theoretical and Computational Physics
Chaos control and synchronization
Original source