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We present a systematic study of various statistical characteristics of high-frequency returns from the foreign exchange market. This study is based on six exchange rates forming two triangles: EUR-GBP-USD and GBP-CHF-JPY. It is shown that…

Statistical Finance · Quantitative Finance 2011-05-24 Stanislaw Drozdz , Jaroslaw Kwapien , Pawel Oswiecimka , Rafal Rak

In this paper we propose a deep recurrent architecture for the probabilistic modelling of high-frequency market prices, important for the risk management of automated trading systems. Our proposed architecture incorporates probabilistic…

Statistical Finance · Quantitative Finance 2020-04-06 Ye-Sheen Lim , Denise Gorse

Detailed study of the financial empirical correlation matrix of the 30 companies comprised by DAX within the period of the last 11 years, using the time-window of 30 trading days, is presented. This allows to clearly identify a nontrivial…

Statistical Mechanics · Physics 2009-10-31 S. Drozdz , F. Gruemmer , F. Ruf , J. Speth

Trade executions for major stocks come in bursts of activity, which can be partly attributed to the presence of self- and mutual excitations endogenous to the system. In this paper, we study transaction reports for five FTSE 100 stocks. We…

Computational Engineering, Finance, and Science · Computer Science 2022-07-29 Isobel Seabrook , Paolo Barucca , Fabio Caccioli

The analysis of the intraday dynamics of correlations among high-frequency returns is challenging due to the presence of asynchronous trading and market microstructure noise. Both effects may lead to significant data reduction and may…

Trading and Market Microstructure · Quantitative Finance 2019-03-06 Giuseppe Buccheri , Giacomo Bormetti , Fulvio Corsi , Fabrizio Lillo

Understanding the statistical properties of recurrence intervals of extreme events is crucial to risk assessment and management of complex systems. The probability distributions and correlations of recurrence intervals for many systems have…

Statistical Finance · Quantitative Finance 2012-05-10 Hao Meng , Fei Ren , Gao-Feng Gu , Xiong Xiong , Yong-Jie Zhang , Wei-Xing Zhou , Wei Zhang

The intraday pattern, long memory, and multifractal nature of the intertrade durations, which are defined as the waiting times between two consecutive transactions, are investigated based upon the limit order book data and order flows of 23…

Trading and Market Microstructure · Quantitative Finance 2008-12-18 Zhi-Qiang Jiang , Wei Chen , Wei-Xing Zhou

High frequency data in finance have led to a deeper understanding on probability distributions of market prices. Several facts seem to be well stablished by empirical evidence. Specifically, probability distributions have the following…

Statistical Mechanics · Physics 2009-10-31 Jaume Masoliver , Miquel Montero , Josep M. Porra

In this manuscript we present a comprehensive study on the multifractal properties of high-frequency price fluctuations and instantaneous volatility of the equities that compose Dow Jones Industrial Average. The analysis consists about…

Statistical Finance · Quantitative Finance 2008-12-02 Jeferson de Souza , Silvio M. Duarte Queiros

This paper investigates the temporal patterns of activity in the cryptocurrency market with a focus on Bitcoin, Ethereum, Dogecoin, and WINkLink from January 2020 to December 2022. Market activity measures - logarithmic returns, volume, and…

Trading and Market Microstructure · Quantitative Finance 2023-08-22 Marcin Wątorek , Maria Skupień , Jarosław Kwapień , Stanisław Drożdż

This paper analyses the high-frequency intraday Bitcoin dataset from 2019 to 2022. During this time frame, the Bitcoin market index exhibited two distinct periods, 2019-20 and 2021-22, characterized by an abrupt change in volatility. The…

Statistical Finance · Quantitative Finance 2025-06-24 Yaoyue Tang , Karina Arias-Calluari , M. N. Najafi , Michael S. Harré , Fernando Alonso-Marroquin

We introduce a Hawkes-like process and study its scaling limit as the system becomes increasingly endogenous. We derive functional limit theorems for intensity and fluctuations. Then, we introduce a high-frequency model for a price of a…

Probability · Mathematics 2018-07-12 Łukasz Treszczotko

The fundamental theorem behind financial markets is that stock prices are intrinsically complex and stochastic. One of the complexities is the volatility associated with stock prices. Volatility is a tendency for prices to change…

Statistical Finance · Quantitative Finance 2023-11-21 Leonard Mushunje , Maxwell Mashasha , Edina Chandiwana

To understand how fluctuations arise and are distributed in international trade, a question crucial for economic risk assessment and policymaking, we analyze strong adverse fluctuations-collapsed trades-defined as individual trades with…

Physics and Society · Physics 2026-01-30 Jung-Ho Kim , Sudo Yi , Sang-Hwan Gwak , K. -I. Goh , D. -S. Lee

Throughout history, many countries have repeatedly experienced large swings in asset prices, which are usually accompanied by large fluctuations in macroeconomic activity. One of the characteristics of the period before major economic…

Theoretical Economics · Economics 2024-08-12 Tomohiro Hirano

The scaling properties of the time series of asset prices and trading volumes of stock markets are analysed. It is shown that similarly to the asset prices, the trading volume data obey multi-scaling length-distribution of low-variability…

Statistical Mechanics · Physics 2008-12-02 Robert Kitt , Jaan Kalda

The interactions between a large population of high-frequency traders (HFTs) and a large trader (LT) who executes a certain amount of assets at discrete time points are studied. HFTs are faster in the sense that they trade continuously and…

Mathematical Finance · Quantitative Finance 2024-04-30 Xue Cheng , Meng Wang , Ziyi Xu

We study the price dynamics of stocks traded in a financial market by considering the statistical properties both of a single time series and of an ensemble of stocks traded simultaneously. We use the $n$ stocks traded in the New York Stock…

Statistical Mechanics · Physics 2009-10-31 Fabrizio Lillo , Rosario N. Mantegna

This paper conducts an empirically study on the trade package composed of a sequence of consecutive purchases or sales of 23 stocks in Chinese stock market. We investigate the probability distributions of the execution time, the number of…

Trading and Market Microstructure · Quantitative Finance 2013-09-09 Fei Ren , Wei-Xing Zhou

It is widely believed that fluctuations in transaction volume, as reflected in the number of transactions and to a lesser extent their size, are the main cause of clustered volatility. Under this view bursts of rapid or slow price diffusion…

Physics and Society · Physics 2008-12-02 Laszlo Gillemot , J. Doyne Farmer , Fabrizio Lillo
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