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Bitcoin has increased investment interests in people during the last decade. We have seen an increase in the number of posts on social media platforms about cryptocurrency, especially Bitcoin. This project focuses on analyzing user tweet…

Artificial Intelligence · Computer Science 2024-12-04 Ashutosh Hathidara , Gaurav Atavale , Suyash Chaudhary

In this paper, we discuss the method of Bayesian regression and its efficacy for predicting price variation of Bitcoin, a recently popularized virtual, cryptographic currency. Bayesian regression refers to utilizing empirical data as proxy…

Artificial Intelligence · Computer Science 2014-10-07 Devavrat Shah , Kang Zhang

The cryptocurrency options market is notable for its high volatility and lower liquidity compared to traditional markets. These characteristics introduce significant challenges to traditional option pricing methodologies. Addressing these…

Mathematical Finance · Quantitative Finance 2025-06-18 Julia Kończal

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

How do supply and demand from informed traders drive market prices of bitcoin options? Deribit options tick-level data supports the limits-to-arbitrage hypothesis about the market maker's supply. The main demand-side effects are that…

General Finance · Quantitative Finance 2022-03-28 Carol Alexander , Jun Deng , Jianfen Feng , Huning Wan

In this paper, our focus lies on the Merton's jump diffusion model, employing jump processes characterized by the compound Poisson process. Our primary objective is to forecast the drift and volatility of the model using a variety of…

Statistical Finance · Quantitative Finance 2024-05-24 Ayush Singh , Anshu K. Jha , Amit N. Kumar

In this paper, we present a new bivariate model for the joint description of the Bitcoin prices and the media attention to Bitcoin. Our model is based on the class of the L\'evy processes and is able to realistically reproduce the jump-type…

Statistical Finance · Quantitative Finance 2022-10-26 Ekaterina Morozova , Vladimir Panov

Cryptocurrencies fluctuate in markets with high price volatility, posing significant challenges for investors. To aid in informed decision-making, systems predicting cryptocurrency market movements have been developed, typically focusing on…

Machine Learning · Computer Science 2025-05-06 Amit Kumar , Taoran Ji

One of the most discussed problems in the financial world is stock option pricing. The Black-Scholes Equation is a Parabolic Partial Differential Equation which provides an option pricing model. The present work proposes an approach based…

Machine Learning · Computer Science 2024-05-12 Daniel de Souza Santos , Tiago Alessandro Espinola Ferreira

Bitcoin is firmly becoming a mainstream asset in our global society. Its highly volatile nature has traders and speculators flooding into the market to take advantage of its significant price swings in the hope of making money. This work…

Machine Learning · Computer Science 2021-10-29 Nathan Crone , Eoin Brophy , Tomas Ward

While attention is a predictor for digital asset prices, and jumps in Bitcoin prices are well-known, we know little about its alternatives. Studying high frequency crypto data gives us the unique possibility to confirm that cross market…

Trading and Market Microstructure · Quantitative Finance 2021-10-19 Danial Saef , Odett Nagy , Sergej Sizov , Wolfgang Karl Härdle

Digital cryptocurrencies such as Bitcoin have exploded in recent years in both popularity and value. By their novelty, cryptocurrencies tend to be both volatile and highly speculative. The capricious nature of these coins is helped…

Social and Information Networks · Computer Science 2023-03-06 Aos Mulahuwaish , Matthew Loucks , Basheer Qolomany , Ala Al-Fuqaha

The Black-Scholes theory of option pricing has been considered for many years as an important but very approximate zeroth-order description of actual market behavior. We generalize the functional form of the diffusion of these systems and…

Computational Physics · Physics 2009-11-06 Lester Ingber

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

We show how the prices of options can be determined with the help of double-fractional differential equation in such a way that their inclusion in a portfolio of stocks provides a more reliable hedge against dramatic price drops that the…

Risk Management · Quantitative Finance 2016-03-11 Hagen Kleinert , Jan Korbel

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 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

Option pricing models, essential in financial mathematics and risk management, have been extensively studied and recently advanced by AI methodologies. However, American option pricing remains challenging due to the complexity of…

Machine Learning · Computer Science 2024-09-30 Qiguo Sun , Hanyue Huang , XiBei Yang , Yuwei Zhang

Bitcoin has attracted attention from different market participants due to unpredictable price patterns. Sometimes, the price has exhibited big jumps. Bitcoin prices have also had extreme, unexpected crashes. We test the predictive power of…

Statistical Finance · Quantitative Finance 2021-12-15 Andrés García-Medina , Toan Luu Duc Huynh3

Analyzing social media trends can create a win-win situation for both creators and consumers. Creators can receive fair compensation, while consumers gain access to engaging, relevant, and personalized content. This paper proposes a new…

Social and Information Networks · Computer Science 2024-06-27 Abhishek Saxena , Anton Kolonin