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This study investigates the volatility of daily Bitcoin returns and multifractal properties of the Bitcoin market by employing the rolling window method and examines relationships between the volatility asymmetry and market efficiency.…

统计金融 · 定量金融 2021-02-18 Tetsuya Takaishi

The finite sample effect on the Hurst exponent (HE) of realized volatility time series is examined using Bitcoin data. This study finds that the HE decreases as the sampling period $\Delta$ increases and a simple finite sample ansatz…

统计金融 · 定量金融 2025-11-06 Tetsuya Takaishi

This letter revisits the informational efficiency of the Bitcoin market. In particular we analyze the time-varying behavior of long memory of returns on Bitcoin and volatility 2011 until 2017, using the Hurst exponent. Our results are…

统计金融 · 定量金融 2017-09-26 Aurelio F. Bariviera

Recent studies have found that the log-volatility of asset returns exhibit roughness. This study investigates roughness or the anti-persistence of Bitcoin volatility. Using the multifractal detrended fluctuation analysis, we obtain the…

统计金融 · 定量金融 2020-04-16 Tetsuya Takaishi

In recent years a new type of tradable assets appeared, generically known as cryptocurrencies. Among them, the most widespread is Bitcoin. Given its novelty, this paper investigates some statistical properties of the Bitcoin market. This…

统计金融 · 定量金融 2017-08-16 Aurelio F. Bariviera , María José Basgall , Waldo Hasperué , Marcelo Naiouf

The bitcoin price has surged in recent years and it has also exhibited phases of rapid decay. In this paper we address the question to what extent this novel cryptocurrency market can be viewed as a classic or semi-efficient market. Novel…

统计金融 · 定量金融 2019-06-26 Josselin Garnier , Knut Solna

Based on 1-minute price changes recorded since year 2012, the fluctuation properties of the rapidly-emerging Bitcoin (BTC) market are assessed over chosen sub-periods, in terms of return distributions, volatility autocorrelation, Hurst…

In recent years, cryptocurrencies have attracted growing attention from both private investors and institutions. Among them, Bitcoin stands out for its impressive volatility and widespread influence. This paper explores the predictability…

统计金融 · 定量金融 2025-04-29 Grégory Bournassenko

Using 1-min returns of Bitcoin prices, we investigate statistical properties and multifractality of a Bitcoin time series. We find that the 1-min return distribution is fat-tailed, and kurtosis largely deviates from the Gaussian…

统计金融 · 定量金融 2018-05-29 Tetsuya Takaishi

This paper analyses the high-frequency intraday Bitcoin dataset from 2019 to 2022. During this time frame, the Bitcoin market index exhibited two distinct periods, 2019-20 and 2021-22, characterized by an abrupt change in volatility. The…

This study examines whether the efficiency of cryptocurrency markets (Bitcoin and Ethereum) evolve over time based on Lo's (2004) adaptive market hypothesis (AMH). In particular, we measure the degree of market efficiency using a…

统计金融 · 定量金融 2020-07-08 Akihiko Noda

We assess the applicability of rough volatility models to Bitcoin realized volatility using the normalised p-variation framework of Cont and Das (2024). Applying this model-free estimator to high-frequency Bitcoin data from 2017 to 2024…

统计金融 · 定量金融 2025-09-30 Milan Pontiggia

Considering that both the entropy-based market information and the Hurst exponent are useful tools for determining whether the efficient market hypothesis holds for a given asset, we study the link between the two approaches. We thus…

统计金融 · 定量金融 2023-06-26 Xavier Brouty , Matthieu Garcin

The mining of bitcoin is modeled using system dynamics, showing that the past evolution of the network hash rate can be explained to a large extent by an efficient market hypothesis applied to the mining of blocks. The possibility of a…

密码学与安全 · 计算机科学 2020-04-21 Davide Lasi , Lukas Saul

We investigate the correlation properties of transaction data from the New York Stock Exchange. The trading activity f(t) of each stock displays a crossover from weaker to stronger correlations at time scales 60-390 minutes. In both…

物理与社会 · 物理学 2008-12-02 Zoltan Eisler , Janos Kertesz

We empirically investigated the relationships between the degree of efficiency and the predictability in financial time-series data. The Hurst exponent was used as the measurement of the degree of efficiency, and the hit rate calculated…

统计金融 · 定量金融 2009-11-13 Cheoljun Eom , Sunghoon Choi , Gabjin Oh , Woo-Sung Jung

The market efficiency hypothesis has been proposed to explain the behavior of time series of stock markets. The Black-Scholes model (B-S) for example, is based on the assumption that markets are efficient. As a consequence, it is…

统计金融 · 定量金融 2019-03-20 Carlos Arturo Soto Campos , Leopoldo Sánchez Cantú , Zeus Hernández Veleros

This paper conducts an extensive analysis of Bitcoin return series, with a primary focus on three volatility metrics: historical volatility (calculated as the sample standard deviation), forecasted volatility (derived from GARCH-type…

交易与市场微观结构 · 定量金融 2024-01-05 Cristina Chinazzo , Vahidin Jeleskovic

In this paper, we use the generalized Hurst exponent approach to study the multi- scaling behavior of different financial time series. We show that this approach is robust and powerful in detecting different types of multiscaling. We…

统计金融 · 定量金融 2012-05-25 Jozef Barunik , Tomaso Aste , Tiziana Di Matteo , Ruipeng Liu

The functioning of the cryptocurrency Bitcoin relies on the open availability of the entire history of its transactions. This makes it a particularly interesting socio-economic system to analyse from the point of view of network science.…

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