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We calibrate and test various variants of field theory models of the interest rate with data from eurodollars futures. A model based on a simple psychological factor are seen to provide the best fit to the market. We make a model…

Soft Condensed Matter · Physics 2009-11-07 Belal E. Baaquie , Marakani Srikant

We propose a model of fractal point process driven by the nonlinear stochastic differential equation. The model is adjusted to the empirical data of trading activity in financial markets. This reproduces the probability distribution…

Physics and Society · Physics 2009-11-13 V. Gontis , B. Kaulakys

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

We propose a transformation capable of altering the tail properties of a distribution, motivated by extreme value theory, which can be used as a layer in a normalizing flow to approximate multivariate heavy tailed distributions. We apply…

Machine Learning · Statistics 2023-11-02 Tennessee Hickling , Dennis Prangle

In econometrics, the Efficient Market Hypothesis posits that asset prices reflect all available information in the market. Several empirical investigations show that market efficiency drops when it undergoes extreme events. Many models for…

Statistical Finance · Quantitative Finance 2025-07-02 Junshu Jiang , Jordan Richards , Raphaël Huser , David Bolin

This paper introduces an approach to gas-like models, from the concept of entropy, using the money stock data of two economic agents, in this case of two countries, which carry out market actions (trading) in two theoretical scenarios: in…

Physics and Society · Physics 2024-06-25 Henry D. Vera Ramirez

We introduce a system of kinetic equations describing an exchange market consisting of two populations of agents (dealers and speculators) expressing the same preferences for two goods, but applying different strategies in their exchanges.…

General Finance · Quantitative Finance 2018-03-14 Carlo Brugna , Giuseppe Toscani

We present a novel microscopic stock market model consisting of a large number of random agents modeling traders in a market. Each agent is characterized by a set of parameters that serve to make iterated predictions of two successive…

Adaptation and Self-Organizing Systems · Physics 2009-11-07 R. Rothenstein , K. Pawelzik

This note explores the consequences of nonlinear price impact functions on price dynamics within the chartist-fundamentalist framework. Price impact functions may be nonlinear with respect to trading volume. As indicated by recent empirical…

Other Condensed Matter · Physics 2009-11-10 Frank Westerhoff

This paper measures and compares the tail risks of limit and market orders using Extreme Value Theory. The analysis examines realised tail outcomes using the Dealing 2000-2 electronic broking system based on completed transactions rather…

Statistical Finance · Quantitative Finance 2011-03-30 john cotter , kevin dowd

On the framework of the Linear Farmer's Model, we approach the indeterminacy of agents' behaviour by associating with each agent an unconditional probability for her to be active at each time step. We show that Pareto tailed returns can…

Statistical Mechanics · Physics 2008-12-02 Rui Carvalho

This article presents an empirical study of thirteen derivative markets for commodity and financial assets. It compares the statistical properties of futures contracts's daily returns at different maturities, from 1998 to 2010 and for…

Statistical Finance · Quantitative Finance 2015-05-20 Delphine Lautier , Franck Raynaud

The extreme value dependence of regularly varying stationary time series can be described by the spectral tail process. Drees, Segers and Warchol [Extremes 18(3): 369--402, 2015] proposed estimators of the marginal distributions of this…

Statistics Theory · Mathematics 2019-07-23 Holger Drees , Miran Knezevic

In order to simulate the complex phenomena manifested in stock markets, we introduce a continuous asynchronous model in which millions of individual traders interact through a central orders matching mechanism, just as it happens in real…

Statistical Mechanics · Physics 2008-12-02 M. Shatner , L. Muchnik , M. Leshno , S. Solomon

We propose a three-state microscopic opinion formation model for the purpose of simulating the dynamics of financial markets. In order to mimic the heterogeneous composition of the mass of investors in a market, the agent-based model…

Physics and Society · Physics 2019-05-14 Bernardo J. Zubillaga , André L. M. Vilela , Chao Wang , Kenric P. Nelson , H. Eugene Stanley

Foreign exchange rates movements exhibit significant cross-correlations even on very short time-scales. The effect of these statistical relationships become evident during extreme market events, such as flash crashes.In this scenario, an…

Trading and Market Microstructure · Quantitative Finance 2020-09-09 Alberto Ciacci , Takumi Sueshige , Hideki Takayasu , Kim Christensen , Misako Takayasu

Kinetic exchange models have been successful in explaining the shape of the income/wealth distribution in the economies. However, such models usually make some ad-hoc assumptions when it comes to determining the savings factor. Here, we…

Trading and Market Microstructure · Quantitative Finance 2010-06-28 Anindya S. Chakrabarti

The author seeks to develop a model to alter the bid-offer spread, currently quoted by market makers, that varies with the market and trading conditions. The dynamic nature of financial markets and trading, as with the rest of social…

Economics · Quantitative Finance 2016-02-03 Ravi Kashyap

A new model for stock price fluctuations is proposed, based upon an analogy with the motion of tracers in Gaussian random fields, as used in turbulent dispersion models and in studies of transport in dynamically disordered media. Analytical…

Statistical Mechanics · Physics 2009-11-10 James P. Gleeson

We show, by studying in detail the market prices of options on liquid markets, that the market has empirically corrected the simple, but inadequate Black-Scholes formula to account for two important statistical features of asset…

Condensed Matter · Physics 2008-02-03 Marc Potters , Rama Cont , Jean-Philippe Bouchaud