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Related papers: Dynamic Asset Pricing with {\alpha}-MEU Model

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We investigate the effects of the social interactions of a finite set of agents on an equilibrium pricing mechanism. A derivative written on non-tradable underlyings is introduced to the market and priced in an equilibrium framework by…

Mathematical Finance · Quantitative Finance 2017-02-14 Jana Bielagk , Arnaud Lionnet , Goncalo Dos Reis

We model an informed agent with information about the future value of an asset trying to maximize profits when subjected to a transaction cost as well as a market maker tasked with setting fair transaction prices. In a single auction model,…

Trading and Market Microstructure · Quantitative Finance 2020-07-29 Weston Barger , Ryan Donnelly

This paper studies the equilibrium pricing of asset shares in the presence of dynamic private information. The market consists of a risk-neutral informed agent who observes the firm value, noise traders, and competitive market makers who…

Mathematical Finance · Quantitative Finance 2016-07-04 Albina Danilova

We present a dynamical model for the price evolution of financial assets. The model is based in a two level structure. In the first stage one finds an agent-based model that describes the present state of the investors' beliefs,…

Trading and Market Microstructure · Quantitative Finance 2009-07-30 Miquel Montero

We consider the optimal investment and marginal utility pricing problem of a risk averse agent and quantify their exposure to a small amount of model uncertainty. Specifically, we compute explicitly the first-order sensitivity of their…

Mathematical Finance · Quantitative Finance 2021-11-15 Jan Obloj , Johannes Wiesel

We introduce and study a non-equilibrium continuous-time dynamical model of the price of a single asset traded by a population of heterogeneous interacting agents in the presence of uncertainty and regulatory constraints. The model takes…

Adaptation and Self-Organizing Systems · Physics 2009-04-23 V. I. Yukalov , D. Sornette , E. P. Yukalova

We study portfolio selection in a complete continuous-time market where the preference is dictated by the rank-dependent utility. As such a model is inherently time inconsistent due to the underlying probability weighting, we study the…

Mathematical Finance · Quantitative Finance 2020-06-04 Ying Hu , Hanqing Jin , Xun Yu Zhou

We consider a financial market model which consists of a financial asset and a large number of interacting agents classified into many types. Different types of agents are heterogeneous in their price expectations. Each agent can change its…

Probability · Mathematics 2008-12-02 Biao Wu

This paper develops a dynamic equilibrium model where agents exhibit a strong form of belief heterogeneity: they disagree about zero probability events. It is shown that, somewhat surprisingly, equilibrium exists in this setting, and that…

General Finance · Quantitative Finance 2013-06-24 Martin Larsson

We study the problem of maximising terminal utility for an agent facing model uncertainty, in a frictionless discrete-time market with one safe asset and finitely many risky assets. We show that an optimal investment strategy exists if the…

Mathematical Finance · Quantitative Finance 2020-07-10 Miklós Rásonyi , Andrea Meireles-Rodrigues

We propose a multi-agent model of an asset market and study conditions that guarantee that the strategy of an individual agent cannot outperform the market. The model assumes a mean-field approximation of the market by considering an…

Mathematical Finance · Quantitative Finance 2022-11-11 Mikhail Zhitlukhin

Providing a measure of market risk is an important issue for investors and financial institutions. However, the existing models for this purpose are per definition symmetric. The current paper introduces an asymmetric capital asset pricing…

Pricing of Securities · Quantitative Finance 2024-05-07 Abdulnasser Hatemi-J

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

In the presence of ambiguity on the driving force of market randomness, we consider the dynamic portfolio choice without any predetermined investment horizon. The investment criteria is formulated as a robust forward performance process,…

Mathematical Finance · Quantitative Finance 2019-04-23 Qian Lin , Xianming Sun , Chao Zhou

This paper delves into the dynamics of asset pricing within Bachelier market model, elucidating the representation of risky asset price dynamics and the definition of riskless assets.

General Finance · Quantitative Finance 2023-07-11 Nancy Asare Nyarko , Bhathiya Divelgama , Jagdish Gnawali , Blessing Omotade , Svetlozar Rachev , Peter Yegon

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

We build a state-of-the-art dynamic model of private asset allocation that considers five key features of private asset markets: (1) the illiquid nature of private assets, (2) timing lags between capital commitments, capital calls, and…

Portfolio Management · Quantitative Finance 2025-03-04 Hui Chen , Giovanni Gambarotta , Simon Scheidegger , Yu Xu

In this paper we present a theoretical framework for determining dynamic ask and bid prices of derivatives using the theory of dynamic coherent acceptability indices in discrete time. We prove a version of the First Fundamental Theorem of…

Risk Management · Quantitative Finance 2013-06-13 Tomasz R. Bielecki , Igor Cialenco , Ismail Iyigunler , Rodrigo Rodriguez

The problem of allocating scarce items to individuals is an important practical question in market design. An increasingly popular set of mechanisms for this task uses the concept of market equilibrium: individuals report their preferences,…

Computer Science and Game Theory · Computer Science 2019-12-11 Riley Murray , Christian Kroer , Alex Peysakhovich , Parikshit Shah

As insurers increasingly behave like financial intermediaries and actively participate in capital markets, understanding the dependence structure between insurance and financial risks becomes crucial for insurers' operations. This paper…

Risk Management · Quantitative Finance 2026-03-20 Shunzhi Pang