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Bitcoin as a cryptocurrency has been one of the most important digital coins and the first decentralized digital currency. Deep neural networks, on the other hand, has shown promising results recently; however, we require huge amount of…

Statistical Finance · Quantitative Finance 2023-11-14 Parth Daxesh Modi , Kamyar Arshi , Pertami J. Kunz , Abdelhak M. Zoubir

Cryptocurrencies, especially Bitcoin (BTC), which comprise a new digital asset class, have drawn extraordinary worldwide attention. The characteristics of the cryptocurrency/BTC include a high level of speculation, extreme volatility and…

Statistical Finance · Quantitative Finance 2020-09-24 Ai Jun Hou , Weining Wang , Cathy Y. H. Chen , Wolfgang Karl Härdle

Guyon and Lekeufack recently proposed a path-dependent volatility model and documented its excellent performance in fitting market data and capturing stylized facts. The instantaneous volatility is modeled as a linear combination of two…

Pricing of Securities · Quantitative Finance 2024-07-03 Marcel Nutz , Andrés Riveros Valdevenito

Understanding the variations in trading price (volatility), and its response to exogenous information, is a well-researched topic in finance. In this study, we focus on finding stable and accurate volatility predictors for a relatively new…

Statistical Finance · Quantitative Finance 2022-12-07 M. Eren Akbiyik , Mert Erkul , Killian Kaempf , Vaiva Vasiliauskaite , Nino Antulov-Fantulin

We introduce a simple model for equity index derivatives. The model generalizes well known L\`evy Normal Tempered Stable processes (e.g. NIG and VG) with time dependent parameters. It accurately fits Equity index implied volatility surfaces…

Mathematical Finance · Quantitative Finance 2022-01-04 Michele Azzone , Roberto Baviera

We present a neural network based calibration method that performs the calibration task within a few milliseconds for the full implied volatility surface. The framework is consistently applicable throughout a range of volatility models…

Mathematical Finance · Quantitative Finance 2019-08-26 Blanka Horvath , Aitor Muguruza , Mehdi Tomas

We introduce and document a class of probability distributions, called bilateral generalized inverse Gaussian (BGIG) distributions, that are obtained by convolution of two generalized inverse Gaussian distributions supported by the positive…

Probability · Mathematics 2024-07-16 Gaetano Agazzotti , Jean-Philippe Aguilar

Distributed ledger technologies have opened up a wealth of fine-grained transaction data from cryptocurrencies like Bitcoin and Ethereum. This allows research into problems like anomaly detection, anti-money laundering, pattern mining and…

Social and Information Networks · Computer Science 2024-10-07 Naomi A. Arnold , Peijie Zhong , Cheick Tidiane Ba , Ben Steer , Raul Mondragon , Felix Cuadrado , Renaud Lambiotte , Richard G. Clegg

The volatility characterizes the amplitude of price return fluctuations. It is a central magnitude in finance closely related to the risk of holding a certain asset. Despite its popularity on trading floors, the volatility is unobservable…

Physics and Society · Physics 2008-12-02 Zoltan Eisler , Josep Perello , Jaume Masoliver

Cryptocurrencies, such as Bitcoin, are one of the most controversial and complex technological innovations in today's financial system. This study aims to forecast the movements of Bitcoin prices at a high degree of accuracy. To this aim,…

Computational Finance · Quantitative Finance 2023-03-09 Hakan Pabuccu , Serdar Ongan , Ayse Ongan

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…

Statistical Finance · Quantitative Finance 2025-09-30 Milan Pontiggia

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

Bitcoin price forecasting is characterized by extreme volatility and non-stationarity, often defying traditional univariate time-series models over long horizons. This paper addresses a critical gap by integrating Global M2 Liquidity,…

Machine Learning · Computer Science 2026-01-13 Sravan Karthick T

Over the past decade, the blockchain technology and its Bitcoin cryptocurrency have received considerable attention. Bitcoin has experienced significant price swings in daily and long-term valuations. In this paper, we propose a partial…

Pricing of Securities · Quantitative Finance 2020-08-26 Yufang Wang , Haiyan Wang

Bitcoin is currently subject to a significant pay-for-speed trade-off. This is caused by lengthy and highly variable transaction confirmation times, especially during times of congestion. Users can reduce their transaction confirmation…

Probability · Mathematics 2024-02-28 Rowel Gündlach , Ivo V. Stoepker , Stella Kapodistria , Jacques A. C. Resing

Prediction of stock prices has been a crucial and challenging task, especially in the case of highly volatile digital currencies such as Bitcoin. This research examineS the potential of using neural network models, namely LSTMs and GRUs, to…

Statistical Finance · Quantitative Finance 2024-05-15 Ali Mohammadjafari

This paper introduces a unique and valuable research design aimed at analyzing Bitcoin price volatility. To achieve this, a range of models from the Markov Switching-GARCH and Stochastic Autoregressive Volatility (SARV) model classes are…

Statistical Finance · Quantitative Finance 2024-01-12 Dennis Koch , Vahidin Jeleskovic , Zahid I. Younas

The paper studies the linear model for Bitcoin price which includes regression features based on Bitcoin currency statistics, mining processes, Google search trends, Wikipedia pages visits. The pattern of deviation of regression model…

Statistical Finance · Quantitative Finance 2022-01-11 Bohdan M. Pavlyshenko

In this paper we study short-time behavior of the at-the-money implied volatility for Inverse European options with fixed strike price. The asset price is assumed to follow a general stochastic volatility process. Using techniques of the…

Mathematical Finance · Quantitative Finance 2025-04-15 Elisa Alòs , Eulalia Nualart , Makar Pravosud

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…

Cryptography and Security · Computer Science 2020-04-21 Davide Lasi , Lukas Saul