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We test various volatility models using the Bitcoin spot price series. Our models include HIST, EMA ARCH, GARCH, and EGARCH, models. Both of our in-sample-fit and out-of-sample-forecast results suggest that GARCH and EGARCH models perform…

Statistical Finance · Quantitative Finance 2020-10-16 Yeguang Chi , Wenyan Hao

In recent years, the tendency of the number of financial institutions including cryptocurrencies in their portfolios has accelerated. Cryptocurrencies are the first pure digital assets to be included by asset managers. Although they have…

Trading and Market Microstructure · Quantitative Finance 2022-01-31 Fan Fang , Carmine Ventre , Michail Basios , Leslie Kanthan , Lingbo Li , David Martinez-Regoband , Fan Wu

Volatility measures the amplitude of price fluctuations. Despite it is one of the most important quantities in finance, volatility is not directly observable. Here we apply a maximum likelihood method which assumes that price and volatility…

Computational Finance · Quantitative Finance 2012-09-03 Jordi Camprodon , Josep Perelló

A cryptocurrency is a digital asset maintained by a decentralised system using cryptography. Investors in this emerging digital market are exploring the profitability potential of portfolios in place of single coins. Portfolios are…

Physics and Society · Physics 2023-04-06 Ruixue Jing , Luis Enrique Correa Rocha

The paper proposes and implements a methodology to fit a seven-parameter Generalized Tempered Stable (GTS) distribution to financial data. The nonexistence of the mathematical expression of the GTS probability density function makes the…

Statistical Finance · Quantitative Finance 2025-01-14 Aubain Nzokem , Daniel Maposa

This paper examines factors that influence prices of most common five cryptocurrencies such as Bitcoin, Ethereum, Dash, Litecoin, and Monero over 2010-2018 using weekly data. The study employs ARDL technique and documents several findings.…

Pricing of Securities · Quantitative Finance 2025-12-01 Yhlas Sovbetov

Cryptocurrency is a form of digital currency using cryptographic techniques in a decentralized system for secure peer-to-peer transactions. It is gaining much popularity over traditional methods of payments because it facilitates a very…

Cryptography and Security · Computer Science 2023-08-01 Samyak Jain , Sarthak Johari , Radhakrishnan Delhibabu

Time series forecasting is a key tool in financial markets, helping to predict asset prices and guide investment decisions. In highly volatile markets, such as cryptocurrencies like Bitcoin (BTC) and Ethereum (ETH), forecasting becomes more…

Trading and Market Microstructure · Quantitative Finance 2026-02-17 Mabsur Fatin Bin Hossain , Lubna Zahan Lamia , Md Mahmudur Rahman , Md Mosaddek Khan

The `Black Thursday' crisis in cryptocurrency markets demonstrated deleveraging risks in over-collateralized non-custodial stablecoins. We develop a stochastic model that helps explain deleveraging crises in these over-collateralized…

Trading and Market Microstructure · Quantitative Finance 2022-08-02 Ariah Klages-Mundt , Andreea Minca

The class of $\alpha$-stable distributions received much interest for modelling impulsive phenomena occur in engineering, economics, insurance, and physics. The lack of non-analytical form for probability density function is considered as…

Methodology · Statistics 2018-09-18 Mahdi Teimouri

The rapidly evolving cryptocurrency market presents unique challenges for investment due to its inherent volatility and evolving regulatory environment. Collective price movements can be exploited to construct diversified portfolios with…

Popular Physics · Physics 2026-05-01 Ruixue Jing , Ryota Kobayashi , Luis Enrique Correa Rocha

The family of stable distributions received extensive applications in many fields of studies since it incorporates both the skewness and heavy tails. In this paper, we introduce a package written in the R language called alphastable. The…

Computation · Statistics 2018-09-26 Mahdi Teimouri , Mahdi Torshizi , Adel Mohammadpour , Saralees Nadarajah

This paper will propose a novel machine learning based portfolio management method in the context of the cryptocurrency market. Previous researchers mainly focus on the prediction of the movement for specific cryptocurrency such as the…

Machine Learning · Computer Science 2025-12-10 Zijiang Yang

Recent empirical evidence has highlighted the crucial role of jumps in both price and volatility within the cryptocurrency market. In this paper, we integrate price--volatility co-jumps and volatility short-term dependency into a coherent…

Pricing of Securities · Quantitative Finance 2025-06-17 Boyi Li , Weixuan Xia

Cryptocurrency markets have many of the characteristics of 20th century commodities markets, making them an attractive candidate for trend following strategies. We present a decade of evidence from the infancy of bitcoin, showcasing the…

Statistical Finance · Quantitative Finance 2020-09-28 Evans Rozario , Samuel Holt , James West , Shaun Ng

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

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…

Statistical Finance · Quantitative Finance 2025-04-29 Grégory Bournassenko

In this study the cross-correlations between the cryptocurrency market represented by the two most liquid and highest-capitalized cryptocurrencies: bitcoin and ethereum, on the one side, and the instruments representing the traditional…

Statistical Finance · Quantitative Finance 2023-03-02 Marcin Wątorek , Jarosław Kwapień , Stanisław Drożdż

Multivariate extreme value statistical analysis is concerned with observations on several variables which are thought to possess some degree of tail-dependence. In areas such as the modeling of financial and insurance risks, or as the…

Applications · Statistics 2014-12-31 Alexis Bienvenüe , Christian Y. Robert

Digital currencies and cryptocurrencies have hesitantly started to penetrate the investors, and the next step will be the regulatory risk management framework. We examine the Value-at-Risk and Expected Shortfall properties for the major…

Risk Management · Quantitative Finance 2017-08-31 Stavros Stavroyiannis