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We consider a stochastic game between a slow institutional investor and a high-frequency trader who are trading a risky asset and their aggregated order-flow impacts the asset price. We model this system by means of two coupled stochastic…

Trading and Market Microstructure · Quantitative Finance 2023-06-26 Rama Cont , Alessandro Micheli , Eyal Neuman

An approximation method for construction of optimal strategies in the bid \& ask limit order book in the high-frequency trading (HFT) is studied. The basis is the article by M. Avellaneda \& S. Stoikov 2008, in which certain seemingly…

Trading and Market Microstructure · Quantitative Finance 2025-10-21 M. I. Balakaeva , A. Yu. Veretennikov

Order placement tactics play a crucial role in high-frequency trading algorithms and their design is based on understanding the dynamics of the order book. Using high quality high-frequency data and a set of microstructural features, we…

Trading and Market Microstructure · Quantitative Finance 2024-09-30 Timothée Fabre , Vincent Ragel

A non-fungible token (NFT) market is a new trading invention based on the blockchain technology which parallels the cryptocurrency market. In the present work we study capitalization, floor price, the number of transactions, the…

Computational Finance · Quantitative Finance 2024-01-17 Paweł Szydło , Marcin Wątorek , Jarosław Kwapień , Stanisław Drożdż

In this paper we introduce a completely continuous and time-variate model of the evolution of market limit orders based on the existence, uniqueness, and regularity of the solutions to a type of stochastic partial differential equations…

Trading and Market Microstructure · Quantitative Finance 2012-10-29 Zhi Zheng , Richard B. Sowers

We present a novel approach to describing the microstructure of high frequency trading using two key elements. First we introduce a new notion of informed trader which we starkly contrast to current informed trader models. We describe the…

Trading and Market Microstructure · Quantitative Finance 2017-09-08 Rene Carmona , Kevin Webster

In this article, we present a discrete time modeling framework, in which the shape and dynamics of a Limit Order Book (LOB) arise endogenously from an equilibrium between multiple market participants (agents). We use the proposed modeling…

Trading and Market Microstructure · Quantitative Finance 2017-05-10 Roman Gayduk , Sergey Nadtochiy

Many empirical studies have discussed market liquidity, which is regarded as a measure of a booming financial market. Further, various indicators for objectively evaluating market liquidity have also been proposed and their merits have been…

Trading and Market Microstructure · Quantitative Finance 2020-10-27 Isao Yagi , Yuji Masuda , Takanobu Mizuta

High-frequency trading (HFT) uses computer algorithms to make trading decisions in short time scales (e.g., second-level), which is widely used in the Cryptocurrency (Crypto) market (e.g., Bitcoin). Reinforcement learning (RL) in financial…

Trading and Market Microstructure · Quantitative Finance 2023-09-25 Molei Qin , Shuo Sun , Wentao Zhang , Haochong Xia , Xinrun Wang , Bo An

This paper studies arbitrage pricing theory in financial markets with implicit transaction costs. We extend the existing theory to include the more realistic possibility that the price at which the investors trade is dependent on the traded…

Pricing of Securities · Quantitative Finance 2017-07-25 Erindi Allaj

Volume imbalance in a limit order book is often considered as a reliable indicator for predicting future price moves. In this work, we seek to analyse the nuances of the relationship between prices and volume imbalance. To this end, we…

Trading and Market Microstructure · Quantitative Finance 2024-07-24 Sergio Pulido , Mathieu Rosenbaum , Emmanouil Sfendourakis

This paper deals with a fundamental subject that has seldom been addressed in recent years, that of market impact in the options market. Our analysis is based on a proprietary database of metaorders-large orders that are split into smaller…

Trading and Market Microstructure · Quantitative Finance 2022-05-17 Emilio Said , Ahmed Bel Hadj Ayed , Damien Thillou , Jean-Jacques Rabeyrin , Frédéric Abergel

Nowadays, with the availability of massive amount of trade data collected, the dynamics of the financial markets pose both a challenge and an opportunity for high frequency traders. In order to take advantage of the rapid, subtle movement…

Computational Engineering, Finance, and Science · Computer Science 2018-07-06 Dat Thanh Tran , Martin Magris , Juho Kanniainen , Moncef Gabbouj , Alexandros Iosifidis

This paper builds a model of high-frequency equity returns by separately modeling the dynamics of trade-time returns and trade arrivals. Our main contributions are threefold. First, we characterize the distributional behavior of…

Trading and Market Microstructure · Quantitative Finance 2014-09-02 Eric M. Aldrich , Indra Heckenbach , Gregory Laughlin

In the present work we demonstrate the application of different physical methods to high-frequency or tick-by-tick financial time series data. In particular, we calculate the Hurst exponent and inverse statistics for the price time series…

Trading and Market Microstructure · Quantitative Finance 2009-11-13 M. Bartolozzi , C. Mellen , F. Chan , D. Oliver , T. Di Matteo , T. Aste

Market information events are generated intermittently and disseminated at high speeds in real-time. Market participants consume this high-frequency data to build limit order books, representing the current bids and offers for a given…

Trading and Market Microstructure · Quantitative Finance 2024-08-08 Aditya Nittur Anantha , Shashi Jain

Statistical analysis of high-frequency stock market order transaction data is conducted to understand order transition dynamics. We employ a first-order time-homogeneous discrete-time Markov chain model to the sequence of orders of stocks…

Statistical Finance · Quantitative Finance 2024-05-10 Salam Rabindrajit Luwang , Anish Rai , Md. Nurujjaman , Om Prakash , Chittaranjan Hens

We provide an explicit characterization of the optimal market making strategy in a discrete-time Limit Order Book (LOB). In our model, the number of filled orders during each period depends linearly on the distance between the fundamental…

Trading and Market Microstructure · Quantitative Finance 2021-01-11 Agostino Capponi , José E. Figueroa-López , Chuyi Yu

This paper poses a few fundamental questions regarding the attributes of the volume profile of a Limit Order Books stochastic structure by taking into consideration aspects of intraday and interday statistical features, the impact of…

Statistical Finance · Quantitative Finance 2015-04-23 Kylie-Anne Richards , Gareth W. Peters , William Dunsmuir

Managing the prediction of metrics in high-frequency financial markets is a challenging task. An efficient way is by monitoring the dynamics of a limit order book to identify the information edge. This paper describes the first publicly…

Computational Engineering, Finance, and Science · Computer Science 2020-03-12 Adamantios Ntakaris , Martin Magris , Juho Kanniainen , Moncef Gabbouj , Alexandros Iosifidis