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At the ultra high frequency level, the notion of price of an asset is very ambiguous. Indeed, many different prices can be defined (last traded price, best bid price, mid price,...). Thus, in practice, market participants face the problem…

Trading and Market Microstructure · Quantitative Finance 2013-04-15 Sylvain Delattre , Christian Y. Robert , Mathieu Rosenbaum

Many complex systems exhibit extreme events far more often than expected for a normal distribution. This work examines how self-similar bursts of activity across several orders of magnitude can emerge from first principles in systems that…

Physics and Society · Physics 2015-11-13 Felix Patzelt

We empirically analyze the price and liquidity responses to trade signs, traded volumes and signed traded volumes. Utilizing the singular value decomposition, we explore the interconnections of price responses and of liquidity responses…

Statistical Finance · Quantitative Finance 2018-09-11 Shanshan Wang , Sebastian Neusüß , Thomas Guhr

We introduce a new model for describing the fluctuations of a tick-by-tick single asset price. Our model is based on Markov renewal processes. We consider a point process associated to the timestamps of the price jumps, and marks associated…

Trading and Market Microstructure · Quantitative Finance 2013-05-02 Pietro Fodra , Huyên Pham

A microeconomic approach is proposed to derive the fluctuations of risky asset price, where the market participants are modeled as prospect trading agents. As asset price is generated by the temporary equilibrium between demand and supply,…

Pricing of Securities · Quantitative Finance 2014-01-31 Yipeng Yang , Allanus Tsoi

A first attempt at obtaining market--directional information from a non--stationary solution of the dynamic equation "future price tends to the value that maximizes the number of shares traded per unit time" [1] is presented. We demonstrate…

Trading and Market Microstructure · Quantitative Finance 2019-03-29 Vladislav Gennadievich Malyshkin

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 discuss price variations distributions in foreign exchange markets, characterizing them both in calendar and business time frameworks. The price dynamics is found to be the result of two distinct processes, a multi-variance diffusion and…

Statistical Mechanics · Physics 2009-10-31 Michele Pasquini , Maurizio Serva

Price impact of a trade is an important element in pre-trade and post-trade analyses. We introduce a framework to analyze the market price of liquidity risk, which allows us to derive an inhomogeneous Bernoulli ordinary differential…

Trading and Market Microstructure · Quantitative Finance 2019-12-11 Masaaki Kijima , Christopher Ting

This paper proposes an alternative to the classical price-adjustment mechanism (called "t\^{a}tonnement" after Walras) that is second-order in time. The proposed mechanism, an analogue to the damped harmonic oscillator, provides a dynamic…

General Finance · Quantitative Finance 2011-08-25 Eric Kemp-Benedict

Opinions and beliefs determine the evolution of social systems. This is of particular interest in finance, as the increasing complexity of financial systems is coupled with information overload. Opinion formation, therefore, is not always…

General Finance · Quantitative Finance 2014-08-05 Marco D'Errico , Gulnur Muradoglu , Silvana Stefani , Giovanni Zambruno

Despite recent developments in management theory, maintaining a manufacturing schedule remains difficult because of production delays and fluctuations in demand and supply of materials. The response of manufacturing systems to such…

Physics and Society · Physics 2015-06-23 Takahiro Ezaki , Daichi Yanagisawa , Katsuhiro Nishinari

It has been long that literature in financial academics focuses mainly on price and return but much less on trading volume. In the past twenty years, it has already linked both price and trading volume to economic fundamentals, and explored…

General Finance · Quantitative Finance 2023-10-10 Leilei Shi , Bing Han , Yingzi Zhu , Liyan Han , Yiwen Wang , Yan Piao

Algorithmic pricing raises a question of interpretation as well as intervention: when autonomous deep-learning pricing systems sustain supracompetitive prices, what strategic pattern have they learned, and how might market institutions…

Theoretical Economics · Economics 2026-05-19 Soumen Banerjee

We analyze the efficiency of markets with friction, particularly power markets. We model the market as a dynamic system with $(d_t;\,t\geq 0)$ the demand process and $(s_t;\,t\geq 0)$ the supply process. Using stochastic differential…

Systems and Control · Computer Science 2011-09-19 Arman C. Kizilkale , Shie Mannor

In a financial market, for agents with long investment horizons or at times of severe market stress, it is often changes in the asset price that act as the trigger for transactions or shifts in investment position. This suggests the use of…

Trading and Market Microstructure · Quantitative Finance 2015-05-13 H. Lamba

In the present work we introduce a novel multi-agent model with the aim to reproduce the dynamics of a double auction market at microscopic time scale through a faithful simulation of the matching mechanics in the limit order book. The…

Trading and Market Microstructure · Quantitative Finance 2015-05-18 Marco Bartolozzi

This paper assumes that the randomness of market trade values and volumes determines the properties of stochastic market prices. We derive the direct dependence of the first two price statistical moments and price volatility on statistical…

General Economics · Economics 2024-02-27 Victor Olkhov

This paper presents an equilibrium model of dynamic trading, learning, and pricing by strategic investors with trading targets and price impact. Since trading targets are private, rebalancers and liquidity providers filter the child order…

Trading and Market Microstructure · Quantitative Finance 2021-08-09 Xiao Chen , Jin Hyuk Choi , Kasper Larsen , Duane J. Seppi

This article considers the pricing and hedging of a call option when liquidity matters, that is, either for a large nominal or for an illiquid underlying asset. In practice, as opposed to the classical assumptions of a price-taking agent in…

Trading and Market Microstructure · Quantitative Finance 2015-04-06 Olivier Guéant , Jiang Pu