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We describe a new model to simulate the dynamic interactions between market price and the decisions of two different kind of traders. They possess spatial mobility allowing to group together to form coalitions. Each coalition follows a…

Statistical Mechanics · Physics 2009-10-31 Filippo Castiglione

It is usually assumed that stock prices reflect a balance between large numbers of small individual sellers and buyers. However, over the past fifty years mutual funds and other institutional shareholders have assumed an ever increasing…

Physics and Society · Physics 2008-12-02 Bertrand M. Roehner

We propose a simple statistical-physics-inspired model for the effect of intrinsic fluctuations on supply and demand in markets. The model consists of agents that trade in two types of goods of which the total number is separately…

Physics and Society · Physics 2021-01-13 J. R. Mulder , René van Roij , R. A. Duine

In this paper, we describe two approaches to model the behavior of stock prices. The first approach considers the underlying probability distribution of day-to-day price differences. The second approach models the movement of the price as a…

Applications · Statistics 2022-08-08 Khalid Aram

We present an empirical study of the subordination hypothesis for a stochastic time series of a stock price. The fluctuating rate of trading is identified with the stochastic variance of the stock price, as in the continuous-time random…

Physics and Society · Physics 2008-12-02 A. Christian Silva , Victor M. Yakovenko

We study the relationship between price spread, volatility and trading volume. We find that spread forms as a result of interplay between order liquidity and order impact. When trading volume is small adding more liquidity helps improve…

Trading and Market Microstructure · Quantitative Finance 2016-06-24 Jack Sarkissian

In Demand Response programs, price incentives might not be sufficient to modify residential consumers load profile. Here, we consider that each consumer has a preferred profile and a discomfort cost when deviating from it. Consumers can…

Optimization and Control · Mathematics 2017-12-01 Paulin Jacquot , Olivier Beaude , Nadia Oudjane , Stephane Gaubert

The concepts of scale invariance, self-similarity and scaling have been fruitfully applied to the study of price fluctuations in financial markets. After a brief review of the properties of stable Levy distributions and their applications…

Statistical Mechanics · Physics 2008-12-02 Rama Cont , Marc Potters , Jean-Philippe Bouchaud

Financial markets have been extensively studied as highly complex evolving systems. In this paper, we quantify financial price fluctuations through a coupled dynamical system composed of phase oscillators. We find a Financial Coherence and…

Statistical Finance · Quantitative Finance 2016-05-10 Shangmei Zhao , Qiuchao Xie , Qing Lu , Xin Jiang , Wei Chen

We propose a frustrated and disordered many-body model of a stockmarket in which independent adaptive traders can trade a stock subject to the economic law of supply and demand. We show that the typical scaling properties and the correlated…

Statistical Mechanics · Physics 2008-12-02 Fabio Franci , Lorenzo Matassini

In this paper we demonstrate a striking regularity in the way people place limit orders in financial markets, using a data set consisting of roughly seven million orders from the London Stock Exchange. We define the relative limit price as…

Condensed Matter · Physics 2007-05-23 Ilija I. Zovko , J. Doyne Farmer

We show that recent stock market fluctuations are characterized by the cumulative distributions whose tails on short, minute time scales exhibit power scaling with the scaling index alpha > 3 and this index tends to increase quickly with…

Statistical Finance · Quantitative Finance 2009-11-13 S. Drozdz , M. Forczek , J. Kwapien , P. Oswiecimka , R. Rak

The price of financial assets are, since Bachelier, considered to be described by a (discrete or continuous) time sequence of random variables, i.e a stochastic process. Sharp scaling exponents or unifractal behavior of such processes has…

Statistical Mechanics · Physics 2015-06-25 Marc-Etienne Brachet , Erik Taflin , Jean Marcel Tcheou

Single index financial market models cannot account for the empirically observed complex interactions between shares in a market. We describe a multi-share financial market model and compare characteristics of the volatility, that is the…

Condensed Matter · Physics 2009-10-31 Adam Ponzi

Firm foundation theory estimates a security's firm fundamental value based on four determinants: expected growth rate, expected dividend payout, the market interest rate and the degree of risk. In contrast, other views of decision-making in…

Statistical Mechanics · Physics 2009-10-31 D. Sornette

Order flow imbalance can explain short-term changes in stock price. This paper considers the change of non-minimum quotation units in real transactions, and proposes a generalized order flow imbalance construction method to improve Order…

Trading and Market Microstructure · Quantitative Finance 2021-12-07 Yuhan Su , Zeyu Sun , Jiarong Li , Xianghui Yuan

We study an agent-based stock market model with heterogeneous agents and friction. Our model is based on that of Foellmer-Schweizer(1993): The process of a stock price in a discrete-time framework is determined by temporary equilibria via…

Probability · Mathematics 2013-01-29 Takashi Kato

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

We study the dependence of volatility on the stock price in the stochastic volatility framework on the example of the Heston model. To be more specific, we consider the conditional expectation of variance (square of volatility) under fixed…

Pricing of Securities · Quantitative Finance 2011-07-29 Mikhail Martynov , Olga Rozanova

We study a variant of the Cont-Bouchaud model which utilizes the perco lation approach of multi-agent simulations of the stock market fluctuations. Here, instead of considering the relative price change as the difference of the total demand…

Statistical Mechanics · Physics 2009-11-07 Anirban Chakraborti
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