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The aim of this paper is to propose a heterogeneous agent model of stock markets that develop complicated endogenous price fluctuations. We find occurrences of non-stationary chaos, or speculative bubble, are caused by the heterogeneity of…

Chaotic Dynamics · Physics 2013-09-11 Taisei Kaizoji

We investigate the stability of the Epstein-Zin problem with respect to small distortions in the dynamics of the traded securities. We work in incomplete market model settings, where our parametrization of perturbations allows for joint…

Mathematical Finance · Quantitative Finance 2023-04-12 Michael Monoyios , Oleksii Mostovyi

Brane inflation can provide a promissing framework for solving the fine-tuning problem in standard inflationary models. The aim of this paper is to illustrate the mechanism by which this can be achieved. By considering the supersymmetric…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Chafik

Our computational economic analysis investigates the relationship between inequality, mobility and the financial accumulation process. Extending the baseline model by Levy et al., we characterise the economic process through stylised return…

General Economics · Economics 2020-02-20 Simone Righi , Yuri Biondi

We consider an exchange who wishes to set suitable make-take fees to attract liquidity on its platform. Using a principal-agent approach, we are able to describe in quasi-explicit form the optimal contract to propose to a market maker. This…

Trading and Market Microstructure · Quantitative Finance 2019-11-27 Omar El Euch , Thibaut Mastrolia , Mathieu Rosenbaum , Nizar Touzi

This paper provides evidence that stock returns, after truncation, might be modeled by a special type of continuous mixtures or normals, so-called $q$-Gaussians. Negative binomial distributions might model the counts for extreme returns. A…

Mathematical Finance · Quantitative Finance 2025-03-12 Xinxin Jiang

We develop the optimal trading strategy for a foreign exchange (FX) broker who must liquidate a large position in an illiquid currency pair. To maximize revenues, the broker considers trading in a currency triplet which consists of the…

Trading and Market Microstructure · Quantitative Finance 2020-04-28 Álvaro Cartea , Sebastian Jaimungal , Tianyi Jia

We present and study a Minority Game based model of a financial market where adaptive agents -- the speculators -- interact with deterministic agents -- called producers. Speculators trade only if they detect predictable patterns which…

Statistical Mechanics · Physics 2009-11-07 Damien Challet , Matteo Marsili , Yi-Cheng Zhang

We develop a new market-making model, from the ground up, which is tailored towards high-frequency trading under a limit order book (LOB), based on the well-known classification of order types in market microstructure. Our flexible…

Trading and Market Microstructure · Quantitative Finance 2020-01-31 Baron Law , Frederi Viens

Traders and investors involved in an option contract having the underlying stock in range bound are likely to lose their initial investment. Timing in buying an option contract is of capital importance. In a recent article [1] the…

General Finance · Quantitative Finance 2013-07-24 Ovidiu Racorean

A class of conserved models of wealth distributions are studied where wealth (or money) is assumed to be exchanged between a pair of agents in a population like the elastically colliding molecules of a gas exchanging energy. All sorts of…

Physics and Society · Physics 2008-12-02 Abhijit Kar Gupta

Microscopic models describing a whole of economic interactions in a closed society are considered. The presence of a tax system combined with a redistribution process is taken into account, as well as the occurrence of tax evasion. In…

General Finance · Quantitative Finance 2017-01-11 M. L. Bertotti , G. Modanese

The "Money Exchange Model" is a type of agent-based simulation model used to study how wealth distribution and inequality evolve through monetary exchanges between individuals. The primary focus of this model is to identify the limiting…

Probability · Mathematics 2025-01-07 Hironobu Sakagawa

Duality for robust hedging with proportional transaction costs of path dependent European options is obtained in a discrete time financial market with one risky asset. Investor's portfolio consists of a dynamically traded stock and a static…

Portfolio Management · Quantitative Finance 2013-08-30 Yan Dolinsky , H. Mete Soner

Taxes are an essential and uniformly applied institution for maintaining modern societies. However, the levels of taxation remain an intensive debate topic among citizens. If each citizen contributes to common goals, a minimal tax would be…

Physics and Society · Physics 2024-04-24 Hsuan-Wei Lee , Colin Cleveland , Attila Szolnoki

We construct a model of an exchange economy in which agents trade assets contingent on an observable signal, the probability of which depends on public opinion. The agents in our model are replaced occasionally and each person updates…

Theoretical Economics · Economics 2022-04-28 Jean-Philippe Bouchaud , Roger Farmer

This paper studies the income fluctuation problem with capital income risk (i.e., dispersion in the rate of return to wealth). Wealth returns and labor earnings are allowed to be serially correlated and mutually dependent. Rewards can be…

Theoretical Economics · Economics 2018-12-05 Qingyin Ma , John Stachurski , Alexis Akira Toda

An interesting analog circuit for simulating a signal with fluctuations having a probability density function with a power tail has recently been proposed and constructed. The exponent of the power law can be fixed by tuning an appropriate…

Statistical Mechanics · Physics 2016-08-16 H. Fanchiotti , C. A. García Canal , N. Martínez

Prediction problems in finance go beyond estimating the unknown parameters of a model (e.g. of expected returns). This is because such a model would have to include parameters governing the market participants' propensity to change their…

General Finance · Quantitative Finance 2019-08-20 Matthias Feiler , Thibaut Ajdler

This paper uses the development of multi-agent market models to present a unified approach to the joint questions of how financial market movements may be simulated, predicted, and hedged against. We examine the effect of different market…

Condensed Matter · Physics 2009-10-31 P. Jefferies , M. L. Hart , P. M. Hui , N. F. Johnson
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