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A reputation of high volatility accompanies the emergence of Bitcoin as a financial asset. This paper intends to nuance this reputation and clarify our understanding of Bitcoin's volatility. Using daily, weekly, and monthly closing prices…

Statistical Finance · Quantitative Finance 2021-03-02 Nassim Dehouche

The paper investigates the rich class of Generalized Tempered Stable distribution, an alternative to Normal distribution and the $\alpha$-Stable distribution for modelling asset return and many physical and economic systems. Firstly, we…

Statistical Finance · Quantitative Finance 2022-06-07 A. H. Nzokem , V. T. Montshiwa

The cryptocurrency market presents both significant investment opportunities and higher risks relative to traditional financial assets. This study examines the tail behavior of daily returns for two leading cryptocurrencies, Bitcoin and…

Statistical Finance · Quantitative Finance 2025-07-04 A. H. Nzokem

We analyze the first and second moment risk premia in the Bitcoin market based on options and realized returns and contrast them to the premia embedded in the main US stock index market. First, Bitcoin is much more volatile and has a higher…

General Economics · Economics 2025-08-04 Caio Almeida , Maria Grith , Ratmir Miftachov , Zijin Wang

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

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…

Statistical Finance · Quantitative Finance 2018-05-29 Tetsuya Takaishi

The aim of this paper is to analyse the Bitcoin in order to shed some light on its nature and behaviour. We select 9 cryptocurrencies that account for almost 75\% of total market capitalisation and compare their evolution with that of a…

Statistical Finance · Quantitative Finance 2023-09-08 Esther Cabezas-Rivas , Felipe Sánchez-Coll , Isaac Tormo-Xaixo

We study the stochastic structure of cryptocurrency rates of returns as compared to stock returns by focusing on the associated cross-sectional distributions. We build two datasets. The first comprises forty-six major cryptocurrencies, and…

Theoretical Economics · Economics 2023-10-10 Emanuele Citera , Francesco De Pretis

Bitcoin, widely recognized as the first cryptocurrency, has shown increasing integration with traditional financial markets, particularly major U.S. equity indices, amid accelerating institutional adoption. This study examines how Bitcoin…

Portfolio Management · Quantitative Finance 2025-01-20 Di Wu

This paper shows that Bitcoin is not correlated to a general uncertainty index as measured by the Google Trends data of Castelnuovo and Tran (2017). Instead, Bitcoin is linked to a Google Trends attention measure specific for the…

Statistical Finance · Quantitative Finance 2021-06-15 Nektarios Aslanidis , Aurelio F. Bariviera , Óscar G. López

Predicting the trend of Bitcoin, a highly volatile cryptocurrency, remains a challenging task. Accurate forecasting holds immense potential for investors and market participants dealing with High Frequency Trading systems. The purpose of…

Computational Engineering, Finance, and Science · Computer Science 2024-07-11 Zeinab Shahsafdari , Ahmad Kalhor

Detection of power-law behavior and studies of scaling exponents uncover the characteristics of complexity in many real world phenomena. The complexity of financial markets has always presented challenging issues and provided interesting…

Statistical Finance · Quantitative Finance 2018-08-01 Stjepan Begušić , Zvonko Kostanjčar , H. Eugene Stanley , Boris Podobnik

Using the asymmetric stochastic volatility model, this study investigates the day-of-the-week and holiday effects on the returns and volatility of Bitcoin from January 1, 2013 to August 31, 2019; in this context, we also discuss the…

Statistical Finance · Quantitative Finance 2022-10-17 Noriyuki Kunimoto , Kazuhiko Kakamu

This paper compares and contrasts stationarity between the conventional stock market and cryptocurrency. The dataset used for the analysis is the intraday price indices of the S&P500 from 1996 to 2023 and the intraday Bitcoin indices from…

Statistical Finance · Quantitative Finance 2024-08-07 Yaoyue Tang , Karina Arias-Calluari , Michael S. Harré

S&P 500 Index is one of the most sought after stock indices in the world. In particular, Information Technology Sector of S&P 500 is the number one business segment of the S&P 500 in terms of market capital, annual revenue and the number of…

Statistical Finance · Quantitative Finance 2022-09-23 Jayanta K. Pokharel , Erasmus Tetteh-Bator , Chris P. Tsokos

In this paper, an application of three GARCH-type models (sGARCH, iGARCH, and tGARCH) with Student t-distribution, Generalized Error distribution (GED), and Normal Inverse Gaussian (NIG) distribution are examined. The new development allows…

Statistical Finance · Quantitative Finance 2019-10-08 Samuel Asante Gyamerah

Bitcoin is a digital financial asset that is devoid of a central authority. This makes it distinct from traditional financial assets in a number of ways. For instance, the total number of tokens is limited and it has not explicit use value.…

Statistical Finance · Quantitative Finance 2020-05-20 C. R. da Cunha , R. da Silva

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

While relevant stylized facts are observed for Bitcoin markets, we find a distinct property for the scaling behavior of the cumulative return distribution. For various assets, the tail index $\mu$ of the cumulative return distribution…

Statistical Finance · Quantitative Finance 2021-05-07 Tetsuya Takaishi

Recently, cryptocurrencies have attracted a growing interest from investors, practitioners and researchers. Nevertheless, few studies have focused on the predictability of them. In this paper we propose a new and comprehensive study about…

Statistical Finance · Quantitative Finance 2020-04-27 Roy Cerqueti , Massimiliano Giacalone , Raffaele Mattera
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