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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

Bitcoin represents one of the most interesting technological breakthroughs and socio-economic experiments of the last decades. In this paper, we examine the role of speculative bubbles in the process of Bitcoin's technological adoption by…

Computers and Society · Computer Science 2020-05-15 Tobias A. Huber , Didier Sornette

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

Cryptocurrencies and Bitcoin, in particular, are prone to wild swings resulting in frequent jumps in prices, making them historically popular for traders to speculate. A better understanding of these fluctuations can greatly benefit crypto…

Mathematical Finance · Quantitative Finance 2023-10-17 Edson Pindza , Jules Clement Mba , Sutene Mwambi , Nneka Umeorah

Bitcoin is the first digital decentralized cryptocurrency that has shown a significant increase in market capitalization in recent years. The objective of this paper is to determine the predictable price direction of Bitcoin in USD by…

Statistical Finance · Quantitative Finance 2020-06-26 S M Raju , Ali Mohammad Tarif

Twenty-two significant bubbles followed by large crashes or by severe corrections in the Argentinian, Brazilian, Chilean, Mexican, Peruvian, Venezuelan, Hong-Kong, Indonesian, Korean, Malaysian, Philippine and Thai stock markets indices are…

Condensed Matter · Physics 2007-05-23 Anders Johansen , Didier Sornette

We show that the leading bubble test suffers severe size distortion when fundamentals incorporate general-purpose technology adoption. Embedding a hump-shaped technology shock in the Campbell-Shiller present-value model, we prove that the…

General Economics · Economics 2026-05-11 Haiqiang Chen , Li Chen , Difang Huang , Yuexin Li , Zhengjun Zhang

We use the database leak of Mt. Gox exchange to analyze the dynamics of the price of bitcoin from June 2011 to November 2013. This gives us a rare opportunity to study an emerging retail-focused, highly speculative and unregulated market…

Statistical Finance · Quantitative Finance 2017-06-27 Olivier Scaillet , Adrien Treccani , Christopher Trevisan

We tested 45 indices and common stocks traded in the South African stock market for the possible existence of a bubble over the period from Jan. 2003 to May 2006. A bubble is defined by a faster-than-exponential acceleration with…

Physics and Society · Physics 2009-01-09 Wei-Xing Zhou , Didier Sornette

We consider a simple stochastic differential equation for modeling bubbles in social context. A prime example is bubbles in asset pricing, but similar mechanisms may control a range of social phenomena driven by psychological factors (for…

General Finance · Quantitative Finance 2010-09-03 Alexander Kiselev , Lenya Ryzhik

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

We study and generalize in various ways the model of rational expectation (RE) bubbles introduced by Blanchard and Watson in the economic literature. First, bubbles are argued to be the equivalent of Goldstone modes of the fundamental…

Statistical Mechanics · Physics 2009-11-07 D. Sornette , Y. Malevergne

Keeping a basic tenet of economic theory, rational expectations, we model the nonlinear positive feedback between agents in the stock market as an interplay between nonlinearity and multiplicative noise. The derived hyperbolic stochastic…

Statistical Mechanics · Physics 2009-11-07 D. Sornette , J. V. Andersen

Financial markets are well known for their dramatic dynamics and consequences that affect much of the world's population. Consequently, much research has aimed at understanding, identifying and forecasting crashes and rebounds in financial…

General Finance · Quantitative Finance 2011-08-02 Wanfeng Yan , Reda Rebib , Ryan Woodard , Didier Sornette

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

The Lightning Network (LN) is a second-layer protocol for Bitcoin designed to enable fast and cost-efficient off-chain transactions. Channels in the LN can be closed either by mutual agreement or unilaterally through a forced closure, which…

Machine Learning · Computer Science 2026-05-14 Simone Antonelli , Vincent Davis , Harrison Rush , Anthony Potdevin , Jesse Shrader , Vikash Singh , Emanuele Rossi

Digital currencies have become popular in the last decade due to their non-dependency and decentralized nature. The price of these currencies has seen a lot of fluctuations at times, which has increased the need for prediction. As their…

Statistical Finance · Quantitative Finance 2025-01-24 Ramin Mousa , Meysam Afrookhteh , Hooman Khaloo , Amir Ali Bengari , Gholamreza Heidary

The long-term dependence of Bitcoin (BTC), manifesting itself through a Hurst exponent $H>0.5$, is exploited in order to predict future BTC/USD price. A Monte Carlo simulation with $10^4$ geometric fractional Brownian motion realisations is…

Computational Finance · Quantitative Finance 2017-08-04 Mariusz Tarnopolski

Recently research on bubble and its burst attract much interest of researchers in various field such as economics and physics. Economists have been regarding bubble as a disorder in prices. However, this research strategy has overlooked an…

Physics and Society · Physics 2015-05-19 Katsuhiro Nishinari , Mitsuru Iwamura , Yukiko Umeno Saito , Tsutomu Watanabe

This study identifies the key factors influencing the price movements of major cryptocurrencies, Bitcoin, Binance Coin, Ethereum, Litecoin, Ripple, and Tether, using Bayesian networks (BNs). This study addresses two key challenges:…

Statistical Finance · Quantitative Finance 2025-08-22 Rasoul Amirzadeh , Asef Nazari , Dhananjay Thiruvady , Mong Shan Ee