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This paper is the first of a series of short articles that explore the efficiency of major cryptocurrency markets. A number of statistical tests and properties of statistical distributions will be used to assess if cryptocurrency markets…

Statistical Finance · Quantitative Finance 2020-04-01 Eugene Tartakovsky , Ksenia Plesovskikh , Anastasiia Sarmakeeva , Alexander Bibik

We analyse tick-by-tick data representing major cryptocurrencies traded on some different cryptocurrency trading platforms. We focus on such quantities like the inter-transaction times, the number of transactions in time unit, the traded…

Statistical Finance · Quantitative Finance 2022-09-05 Jarosław Kwapień , Marcin Wątorek , Marija Bezbradica , Martin Crane , Tai Tan Mai , Stanisław Drożdż

The goals of this paper are twofold: (1) to present a new method that is able to find linear laws governing the time evolution of Markov chains and (2) to apply this method for anomaly detection in Bitcoin prices. To accomplish these goals,…

Statistical Finance · Quantitative Finance 2022-01-25 Marcell T. Kurbucz , Péter Pósfay , Antal Jakovác

In this study, we investigate the BTC price time-series (17 August 2010-27 June 2021) and show that the 2017 pricing episode is not unique. We describe at least ten new events, which occurred since 2010-2011 and span more than five orders…

Statistical Finance · Quantitative Finance 2023-04-21 Jevgeni Tarassov , Nicolas Houlié

We show Bitcoin implied volatility on a 5 minute time horizon is modestly predictable from price, volatility momentum and alternative data including sentiment and engagement. Lagged Bitcoin index price and volatility movements contribute to…

Statistical Finance · Quantitative Finance 2020-10-30 Faizaan Pervaiz , Christopher Goh , Ashley Pennington , Samuel Holt , James West , Shaun Ng

We use the database leak of Mt. Gox exchange to analyze the dynamics of the price of bitcoin from June 2011 to November 2013. This gives us a rare opportunity to study an emerging retail-focused, highly speculative and unregulated market…

Statistical Finance · Quantitative Finance 2017-06-27 Olivier Scaillet , Adrien Treccani , Christopher Trevisan

This paper investigates the return-volatility asymmetry of Bitcoin. We find that the cross correlations between return and volatility (squared return) are mostly insignificant on a daily level. In the high-frequency region, we find thata…

Statistical Finance · Quantitative Finance 2021-02-17 T. Takaishi

This study investigates the influence of monetary policy and monetary policy uncertainties on Bitcoin returns, utilizing monthly data of BTC, and MPU from July 2010 to August 2023, and employing the Markov Switching Means VAR (MSM-VAR)…

Statistical Finance · Quantitative Finance 2023-11-21 Mohammadreza Mahmoudi

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…

Trading and Market Microstructure · Quantitative Finance 2024-01-05 Cristina Chinazzo , Vahidin Jeleskovic

We study recurrent patterns in volatility and volume for major cryptocurrencies, Bitcoin and Ether, using data from two centralized exchanges (Coinbase Pro and Binance) and a decentralized exchange (Uniswap V2). We find systematic patterns…

Trading and Market Microstructure · Quantitative Finance 2021-11-05 Peter Reinhard Hansen , Chan Kim , Wade Kimbrough

We analyze the price return distributions of currency exchange rates, cryptocurrencies, and contracts for differences (CFDs) representing stock indices, stock shares, and commodities. Based on recent data from the years 2017--2020, we model…

Statistical Finance · Quantitative Finance 2021-07-15 Marcin Wątorek , Jarosław Kwapień , Stanisław Drożdż

This paper introduces new methods to study behaviours among the 52 largest cryptocurrencies between 01-01-2019 and 30-06-2021. First, we explore evolutionary correlation behaviours and apply a recently proposed turning point algorithm to…

Statistical Finance · Quantitative Finance 2022-11-15 Nick James , Max Menzies

We empirically examine the intraday return- and volatility-forecasting power of on-chain flow data for Bitcoin(BTC), Ethereum(ETH), and Tether(USDT). We find ETH net inflows to strongly predict ETH returns and volatility in the 2017-2023…

Econometrics · Economics 2025-09-03 Yeguang Chi , Qionghua , Chu , Wenyan Hao

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.…

The paper analyzes the cryptocurrency ecosystem at both the aggregate and individual levels to understand the factors that impact future volatility. The study uses high-frequency panel data from 2020 to 2022 to examine the relationship…

Statistical Finance · Quantitative Finance 2024-04-09 Alessio Brini , Jimmie Lenz

We study the information dynamics between the largest Bitcoin exchange markets during the bubble in 2017-2018. By analysing high-frequency market-microstructure observables with different information theoretic measures for dynamical…

Statistical Finance · Quantitative Finance 2022-05-04 Vaiva Vasiliauskaite , Fabrizio Lillo , Nino Antulov-Fantulin

Multifractality in time series analysis characterizes the presence of multiple scaling exponents, indicating heterogeneous temporal structures and complex dynamical behaviors beyond simple monofractal models. In the context of digital…

Statistical Finance · Quantitative Finance 2025-10-16 Stanisław Drożdż , Robert Kluszczyński , Jarosław Kwapień , Marcin Wątorek

The year 2024 witnessed a major development in the cryptocurrency industry with the long-awaited approval of spot Bitcoin exchange-traded funds (ETFs). This innovation provides investors with a new, regulated path to gain exposure to…

Trading and Market Microstructure · Quantitative Finance 2024-09-04 Di Wu

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…

Statistical Finance · Quantitative Finance 2020-04-16 Tetsuya Takaishi

We develop a strong diagnostic for bubbles and crashes in bitcoin, by analyzing the coincidence (and its absence) of fundamental and technical indicators. Using a generalized Metcalfe's law based on network properties, a fundamental value…

Econometrics · Economics 2018-03-16 Spencer Wheatley , Didier Sornette , Tobias Huber , Max Reppen , Robert N. Gantner