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The principle of minimum Fisher information states that in the set of acceptable probability distributions characterizing the given system, it is best done by the one that minimizes the corresponding Fisher information. This principle can…

General Finance · Quantitative Finance 2022-03-24 Marcin Makowski , Edward W. Piotrowski , Piotr Frąckiewicz , Marek Szopa

This is a review about financial dependencies which merges efforts in econophysics and financial economics during the last few years. We focus on the most relevant contributions to the analysis of asset markets' dependencies, especially…

Statistical Finance · Quantitative Finance 2023-02-17 M. Raddant , T. Di Matteo

The Capital Asset Pricing Model (CAPM) relates a well-diversified stock portfolio to a benchmark portfolio. We insert size effect in CAPM, capturing the observation that small stocks have higher risk and return than large stocks, on…

Mathematical Finance · Quantitative Finance 2026-05-04 Abraham Atsiwo , Andrey Sarantsev

We develop a robust framework for pricing and hedging of derivative securities in discrete-time financial markets. We consider markets with both dynamically and statically traded assets and make minimal measurability assumptions. We obtain…

Mathematical Finance · Quantitative Finance 2018-02-08 Matteo Burzoni , Marco Frittelli , Zhaoxu Hou , Marco Maggis , Jan Obłój

In a model with no given probability measure, we consider asset pricing in the presence of frictions and other imperfections and characterize the property of coherent pricing, a notion related to (but much weaker than) the no arbitrage…

Mathematical Finance · Quantitative Finance 2016-09-12 Gianluca Cassese

Prudent management of insurance investment portfolios requires competent asset pricing of fixed-income assets with time-to-event contingent cash flows, such as consumer asset-backed securities (ABS). Current market pricing techniques for…

Risk Management · Quantitative Finance 2023-02-27 Jackson P. Lautier , Vladimir Pozdnyakov , Jun Yan

This paper proposes to model asset price dynamics with a mixture of diffusion processes where the instantaneous volatility of the underlying diffusion process contains a random vector. The marginal probability distributions of the proposed…

Mathematical Finance · Quantitative Finance 2018-09-20 Xin Liu

Traditional stock market prediction approaches commonly utilize the historical price-related data of the stocks to forecast their future trends. As the Web information grows, recently some works try to explore financial news to improve the…

Social and Information Networks · Computer Science 2018-01-03 Xi Zhang , Yunjia Zhang , Senzhang Wang , Yuntao Yao , Binxing Fang , Philip S. Yu

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

In this paper, we introduce a suite of models for price-aware automated market making platforms willing to optimize their quotes. These models incorporate advanced price dynamics, including stochastic volatility, jumps, and microstructural…

Trading and Market Microstructure · Quantitative Finance 2024-05-21 Philippe Bergault , Louis Bertucci , David Bouba , Olivier Guéant , Julien Guilbert

This paper introduces a framework for modeling the cost of information acquisition based on the principle of cost-minimization. We study the reduced-form \emph{indirect cost} of information generated by the sequential minimization of a…

Theoretical Economics · Economics 2025-11-10 Alexander W. Bloedel , Weijie Zhong

We uncover a new anomaly in asset pricing that is linked to the remuneration: the more a company spends on salaries and benefits per employee, the better its stock performs, on average. Moreover, the companies adopting similar remuneration…

General Finance · Quantitative Finance 2016-10-17 Sebastien Valeyre , Denis Grebenkov , Sofiane Aboura , Francois Bonnin

The Glosten-Milgrom model describes a single asset market, where informed traders interact with a market maker, in the presence of noise traders. We derive an analogy between this financial model and a Szil\'ard information engine by {\em…

Statistical Mechanics · Physics 2021-05-26 Léo Touzo , Matteo Marsili , Don Zagier

In this paper we study the evolution of asset price bubbles driven by contagion effects spreading among investors via a random matching mechanism in a discrete-time version of the liquidity based model of [25]. To this scope, we extend the…

Mathematical Finance · Quantitative Finance 2022-11-03 Francesca Biagini , Andrea Mazzon , Thilo Meyer-Brandis , Katharina Oberpriller

The binary information collects all those events that may or may not occur. With this kind of variables, a large amount of information can be captured, in particular, about financial assets and their future trends. In our paper, we assume…

Probability · Mathematics 2021-11-03 Bernardo D'Auria , José A. Salmerón

This paper develops a model for option market making in which the hedging activity of the market maker generates price impact on the underlying asset. The option order flow is modeled by Cox processes, with intensities depending on the…

Trading and Market Microstructure · Quantitative Finance 2026-04-30 Paulin Aubert , Etienne Chevalier , Vathana Ly Vath

We present two models for incorporating the total effect of market microstructure noise into dynamic pricing of assets and European options. The first model is developed under a Black-Scholes-Merton, continuous-time framework. The second…

Pricing of Securities · Quantitative Finance 2025-11-04 Peter Yegon , W. Brent Lindquist , Svetlozar T. Rachev

Argumentation provides a representation of arguments and attacks between these arguments. Argumentation can be used to represent a reasoning process over evidence to reach conclusions. Within such a reasoning process, understanding the…

Artificial Intelligence · Computer Science 2021-02-17 Todd Robinson

We present a unified, market-complete model that integrates both the Bachelier and Black-Scholes-Merton frameworks for asset pricing. The model allows for the study, within a unified framework, of asset pricing in a natural world that…

Mathematical Finance · Quantitative Finance 2024-06-11 W. Brent Lindquist , Svetlozar T. Rachev , Jagdish Gnawali , Frank J. Fabozzi

The information dynamics in finance and insurance applications is usually modeled by a filtration. This paper looks at situations where information restrictions apply such that the information dynamics may become non-monotone. A fundamental…

Probability · Mathematics 2021-10-12 Marcus C. Christiansen
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