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In this paper, we develop a hybrid approach to forecasting the volatility and risk of financial instruments by combining common econometric GARCH time series models with deep learning neural networks. For the latter, we employ Gated…

Risk Management · Quantitative Finance 2023-10-03 Jakub Michańków , Łukasz Kwiatkowski , Janusz Morajda

We introduce the concept of virtual volatility. This simple but new measure shows how to quantify the uncertainty in the forecast of the drift component of a random walk. The virtual volatility also is a useful tool in understanding the…

Physics and Society · Physics 2009-11-13 A. Christian Silva , Richard E. Prange

This paper aims at solving FX market volatility modeling problem and finding the most becoming approach to this task. Validity of two competing approaches, classical econometric generalized conditional heteroscedasticity and mathematical…

Mathematical Finance · Quantitative Finance 2021-04-30 Anton Koshelev

We investigate whether cryptocurrency markets differentiate between infrastructure failures and regulatory enforcement at the return level, complementing a companion conditional variance analysis that finds 5.7 times larger volatility…

Statistical Finance · Quantitative Finance 2026-02-17 Murad Farzulla

Volatility asymmetry is a hot topic in high-frequency financial market. In this paper, we propose a new econometric model, which could describe volatility asymmetry based on high-frequency historical data and low-frequency historical data.…

Methodology · Statistics 2021-01-15 Huiling Yuan , Yong Zhou , Lu Xu , Yun Lei Sun , Xiang Yu Cui

Cryptocoins (i.e., Bitcoin, Ether, Litecoin) are tradable digital assets. Ownerships of cryptocoins are registered on distributed ledgers (i.e., blockchains). Secure encryption techniques guarantee the security of the transactions…

Computational Engineering, Finance, and Science · Computer Science 2024-09-06 Pasquale De Rosa , Pascal Felber , Valerio Schiavoni

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

We show that assuming that the returns are independent when conditioned on the value of their variance (volatility), which itself varies in time randomly, then the distribution of returns is well described by the statistics of the sum of…

Statistical Finance · Quantitative Finance 2025-04-30 Hernán Larralde , Roberto Mota Navarro

We develop a liquidity-sensitive multivariate volatility framework to improve the estimation of time-varying covariance structures under market frictions. We introduce two novel portfolio-level liquidity measures, liquidity jump and…

Statistical Finance · Quantitative Finance 2025-04-21 Qi Deng

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 volatility of financial instruments is rarely constant, and usually varies over time. This creates a phenomenon called volatility clustering, where large price movements on one day are followed by similarly large movements on successive…

Statistical Finance · Quantitative Finance 2015-05-08 Gordon J. Ross

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

Recently artificial neural networks (ANNs) have seen success in volatility prediction, but the literature is divided on where an ANN should be used rather than the common GARCH model. The purpose of this study is to compare the volatility…

Computational Finance · Quantitative Finance 2021-10-19 Curtis Nybo

This study examines the performance of a volatility-based strategy using Chinese equity index ETF options. Initially successful, the strategy's effectiveness waned post-2018. By integrating GARCH models for volatility forecasting, the…

General Finance · Quantitative Finance 2024-04-01 Peng Yifeng

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…

Statistical Finance · Quantitative Finance 2017-09-26 Aurelio F. Bariviera

Volatility prediction in the financial market helps to understand the profit and involved risks in investment. However, due to irregularities, high fluctuations, and noise in the time series, predicting volatility poses a challenging task.…

Computational Finance · Quantitative Finance 2022-11-02 Suchetana Sadhukhan , Shiv Manjaree Gopaliya , Pushpdant Jain

The cryptocurrency market is amongst the fastest-growing of all the financial markets in the world. Unlike traditional markets, such as equities, foreign exchange and commodities, cryptocurrency market is considered to have larger…

General Finance · Quantitative Finance 2020-04-06 Fan Fang , Waichung Chung , Carmine Ventre , Michail Basios , Leslie Kanthan , Lingbo Li , Fan Wu

This paper aims to analyze the effect of Bitcoin on portfolio optimization using mean-variance, conditional value-at-risk (CVaR), and Markov regime switching approaches. I assessed each approach and developed the next based on the prior…

General Economics · Economics 2022-05-03 Mohammadreza Mahmoudi

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

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
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