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We introduce a stochastic price model where, together with a random component, a moving average of logarithmic prices contributes to the price formation. Our model is tested against financial datasets, showing an extremely good agreement…

Disordered Systems and Neural Networks · Physics 2008-12-02 R. Baviera , M. Pasquini , J. Raboanary , M. Serva

This paper studies a stylized model of local interaction where agents choose from an ever increasing set of vertically ranked actions, e.g. technologies. The driving forces of the model are infrequent upward shifts (``updates''), followed…

Statistical Mechanics · Physics 2007-05-23 A. Arenas , A. Diaz-Guilera , C. J. Perez , F. Vega-Redondo

The basis of arbitrage methods depends on the circulation of information within the framework of the financial market. Following the work of Modigliani and Miller, it has become a vital part of discussions related to the study of financial…

Statistical Finance · Quantitative Finance 2025-09-12 Kiran Sharma , Abhijit Dutta , Rupak Mukherjee

Large variations in stock prices happen with sufficient frequency to raise doubts about existing models, which all fail to account for non-Gaussian statistics. We construct simple models of a stock market, and argue that the large…

Condensed Matter · Physics 2015-06-25 P. Bak , M. Paczuski , M. Shubik

Statistical properties of an order book and the effect they have on price dynamics were studied using the high-frequency NASDAQ Level II data. It was observed that the size distribution of marketable orders (transaction sizes) has power law…

Statistical Mechanics · Physics 2009-11-07 Sergei Maslov , Mark Mills

We explore the nonlinear dynamics of a macroeconomic model with resource constraints. The dynamics is derived from a production function that considers capital and a generalized form of energy as inputs. Energy, the new variable, is…

Theoretical Economics · Economics 2024-08-30 Frank Schweitzer , Giona Casiraghi

We develop from basic economic principles a continuous-time model for a large investor who trades with a finite number of market makers at their utility indifference prices. In this model, the market makers compete with their quotes for the…

Trading and Market Microstructure · Quantitative Finance 2015-09-10 Peter Bank , Dmitry Kramkov

The correlation matrix formalism is used to study temporal aspects of the stock market evolution. This formalism allows to decompose the financial dynamics into noise as well as into some coherent repeatable intraday structures. The present…

Soft Condensed Matter · Physics 2009-11-07 J. Kwapien , S. Drozdz , F. Gruemmer , F. Ruf , J. Speth

We attempt to explain stock market dynamics in terms of the interaction among three variables: market price, investor opinion and information flow. We propose a framework for such interaction and apply it to build a model of stock market…

General Finance · Quantitative Finance 2014-09-23 Maxim Gusev , Dimitri Kroujiline , Boris Govorkov , Sergey V. Sharov , Dmitry Ushanov , Maxim Zhilyaev

Many studies assume stock prices follow a random process known as geometric Brownian motion. Although approximately correct, this model fails to explain the frequent occurrence of extreme price movements, such as stock market crashes. Using…

Statistical Finance · Quantitative Finance 2015-05-14 Miguel A. Fuentes , Austin Gerig , Javier Vicente

Decisions taken in our everyday lives are based on a wide variety of information so it is generally very difficult to assess what are the strategies that guide us. Stock market therefore provides a rich environment to study how people take…

General Finance · Quantitative Finance 2016-09-28 Mario Gutiérrez-Roig , Carlota Segura , Jordi Duch , Josep Perelló

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 investigate possible origins of trends using a deterministic threshold model, where we refer to long-term variabilities of price changes (price movements) in financial markets as trends. From the investigation we find two phenomena. One…

Trading and Market Microstructure · Quantitative Finance 2015-06-22 Ryo Murakami , Tomomichi Nakamura , Shin Kimura , Masashi Manabe , Toshihiro Tanizawa

The notion that economies should normally be in equilibrium is by now well-established; equally well-established is that economies are almost never precisely in equilibrium. Using a very general formulation, we show that under dynamics that…

General Finance · Quantitative Finance 2012-02-28 Eric Kemp-Benedict

Fluctuations of observables as functions of time, or "fluctuation patterns", are studied in a chaotic microscopically reversible system that has irreversibly reached a nonequilibrium stationary state. Supposing that during a certain, long…

chao-dyn · Physics 2008-10-08 G. Gallavotti

We seek to utilize the nonextensive statistics to the microscopic modeling of the interacting many-investor dynamics that drive the price changes in a market. The statistics of price changes are known to be fit well by the Students-T and…

Trading and Market Microstructure · Quantitative Finance 2010-04-14 Fredrick Michael

We study dynamics of a simulated world with stock and money, driven by the externally given processes which we refer to as sentiments. The considered sentiments influence the buy/sell stock trading attitude, the perceived price uncertainty,…

Trading and Market Microstructure · Quantitative Finance 2017-07-26 Mikhail Goykhman

We introduce a stochastic heterogeneous interacting-agent model for the short-time non-equilibrium evolution of excess demand and price in a stylized asset market. We consider a combination of social interaction within peer groups and…

General Finance · Quantitative Finance 2009-07-20 Gunter M. Schütz , Fernando Pigeard de Almeida Prado , Rosemary J. Harris , Vladimir Belitsky

Intra-day price variations in financial markets are driven by the sequence of orders, called the order flow, that is submitted at high frequency by traders. This paper introduces a novel application of the Sequence Generative Adversarial…

Statistical Finance · Quantitative Finance 2021-09-29 Ye-Sheen Lim , Denise Gorse

Mounting empirical evidence suggests that the observed extreme prices within a trading period can provide valuable information about the volatility of the process within that period. In this paper we define a class of stochastic volatility…

Statistical Finance · Quantitative Finance 2009-01-12 Abel Rodriguez , Henryk Gzyl , German Molina , Enrique ter Horst
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