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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

Buying and selling stocks causes price changes, which are described by the price impact function. To explain the shape of this function, we study the Island ECN orderbook. In addition to transaction data, the orderbook contains information…

Condensed Matter · Physics 2007-05-23 Philipp Weber , Bernd Rosenow

We briefly review data analysis of the Island order book, part of NASDAQ, which suggests a framework to which all limit order markets should comply. Using a simple exclusion particle model, we argue that short-time price over-diffusion in…

Statistical Mechanics · Physics 2009-11-07 Damien Challet , Robin Stinchcombe

In this paper we study Algorithmic High-Frequency Financial Markets as dynamical networks. After an individual analysis of 24 stocks of the US market during a trading year of fully automated transactions by means of ordinal pattern series,…

Adaptation and Self-Organizing Systems · Physics 2022-05-04 Mario López Pérez , Ricardo Mansilla

A dynamical model is introduced for the formation of a bullish or bearish trends driving an asset price in a given market. Initially, each agent decides to buy or sell according to its personal opinion, which results from the combination of…

Physics and Society · Physics 2011-06-09 Serge Galam

This study investigates the application of the Light Gradient Boosting Machine (LGBM) model for both deterministic and probabilistic forecasting of Bitcoin realized volatility. Utilizing a comprehensive set of 69 predictors -- encompassing…

Machine Learning · Computer Science 2025-11-26 Grzegorz Dudek , Mateusz Kasprzyk , Paweł Pełka

In this paper, we introduce a parametrized family of prices derived from the Maximum Entropy Principle. The price is obtained from the distribution that minimizes bias, given the bid and ask volume imbalance at the top of the order book.…

Trading and Market Microstructure · Quantitative Finance 2025-07-15 Przemysław Rola

We use insight from a model of earth tectonic plate movement to obtain a new understanding of the build up and release of stress in the price dynamics of the worlds stock exchanges. Nonlinearity enters the model due to a behavioral…

General Finance · Quantitative Finance 2009-12-30 Jorgen Vitting Andersen , Andrzej Nowak , Giulia Rotundo , Lael Parrott

With emergence of blockchain technologies and the associated cryptocurrencies, such as Bitcoin, understanding network dynamics behind Blockchain graphs has become a rapidly evolving research direction. Unlike other financial networks, such…

Cryptocurrencies and blockchain networks have attracted tremendous attention from their volatile price movements and the promise of decentralization. However, most projects run on business narratives with no way to test and verify their…

Multiagent Systems · Computer Science 2019-07-02 Zixuan Zhang

Cryptocurrency markets present unique prediction challenges due to their extreme volatility, 24/7 operation, and hypersensitivity to news events, with existing approaches suffering from key information extraction and poor sideways market…

Computational Finance · Quantitative Finance 2025-10-10 Kairan Hong , Jinling Gan , Qiushi Tian , Yanglinxuan Guo , Rui Guo , Runnan Li

This paper studies how to forecast daily closing price series of Bitcoin, using data on prices and volumes of prior days. Bitcoin price behaviour is still largely unexplored, presenting new opportunities. We compared our results with two…

Statistical Finance · Quantitative Finance 2020-01-07 Nicola Uras , Lodovica Marchesi , Michele Marchesi , Roberto Tonelli

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

In this study, we present a simple stochastic order-book model for investors' swarm behaviors seen in the continuous double auction mechanism, which is employed by major global exchanges. Our study shows a characteristic called "fat tail"…

Trading and Market Microstructure · Quantitative Finance 2015-06-23 Shingo Ichiki , Katsuhiro Nishinari

We consider the randomness of market trade as the origin of price and return stochasticity. We look at time series of trade values and volumes as random variables during the averaging interval {\Delta} and describe the dependences of…

Statistical Finance · Quantitative Finance 2024-06-18 Victor Olkhov

This paper consists of two parts. The first part is devoted to empirical analysis of consolidated order book (COB) for the index RTS futures. In the second part we consider Poissonian multi--agent model of the COB. By varying parameters of…

Trading and Market Microstructure · Quantitative Finance 2014-02-19 A. O. Glekin , A. Lykov , K. L. Vaninsky

We show that infinite divisibility of a trading commodity leads to a self-sustained price bubble when traders use adaptive investment strategies. The adaptive strategy can be viewed as a psychological response of a trader to the situation…

Trading and Market Microstructure · Quantitative Finance 2021-01-01 Misha Perepelitsa , Ilya Timofeyev

The Efficient Market Hypothesis has been a staple of economics research for decades. In particular, weak-form market efficiency -- the notion that past prices cannot predict future performance -- is strongly supported by econometric…

Statistical Finance · Quantitative Finance 2019-09-12 Samuel Showalter , Jeffrey Gropp

We introduce a prototype model in an attempt to capture some aspects of market dynamics simulating a trading mechanism. The model description starts with a discrete-space, continuous-time Markov process describing arrival and movement of…

Trading and Market Microstructure · Quantitative Finance 2013-04-04 N. Vvedenskaya , Y. Suhov , V. Belitsky

Financial markets have evolved over centuries, and exchanges have converged to rely on the order book mechanism for market making. Latency on the blockchain, however, has prevented decentralized exchanges (DEXes) from utilizing the order…

Pricing of Securities · Quantitative Finance 2022-11-11 Lioba Heimbach , Eric Schertenleib , Roger Wattenhofer