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This is a supplement to the paper "Liquidity based modeling of asset price bubbles via random matching". The supplement is organized as follows. First, we prove Theorem 3.13 in [1] which provides the existence of the dynamical system D…

Mathematical Finance · Quantitative Finance 2023-11-28 Francesca Biagini , Andrea Mazzon , Thilo Meyer-Brandis , Katharina Oberpriller

Price-mediated contagion occurs when a positive feedback loop develops following a drop in asset prices which forces banks and other financial institutions to sell their holdings. Prior studies of such events fix the level of market…

Risk Management · Quantitative Finance 2024-09-05 Zhiyu Cao , Zachary Feinstein

We consider a constructive model for asset price bubbles, where the market price $W$ is endogenously determined by the trading activity on the market and the fundamental price $W^F$ is exogenously given, as in the work of Jarrow, Protter…

Mathematical Finance · Quantitative Finance 2016-11-28 Francesca Biagini , Andrea Mazzon , Thilo Meyer-Brandis

We construct a continuous time model for price-mediated contagion precipitated by a common exogenous stress to the banking book of all firms in the financial system. In this setting, firms are constrained so as to satisfy a risk-weight…

Mathematical Finance · Quantitative Finance 2019-08-23 Zachary Feinstein

We present a dynamical theory of asset price bubbles that exhibits the appearance of bubbles and their subsequent crashes. We show that when speculative trends dominate over fundamental beliefs, bubbles form, leading to the growth of asset…

adap-org · Physics 2008-02-03 Michael Youssefmir , Bernardo Huberman , Tad Hogg

The paper proposes a class of financial market models which are based on inhomogeneous telegraph processes and jump diffusions with alternating volatilities. It is assumed that the jumps occur when the tendencies and volatilities are…

Pricing of Securities · Quantitative Finance 2008-12-04 Nikita Ratanov

We describe a simple model for speculative trading based on adaptive behavior of economic agents.The adaptive behavior is expressed through a feedback mechanism for changing agents' stock-to-bond ratios, depending on the past performance of…

Trading and Market Microstructure · Quantitative Finance 2018-09-26 Misha Perepelitsa

We present a simple agent-based model to study the development of a bubble and the consequential crash and investigate how their proximate triggering factor might relate to their fundamental mechanism, and vice versa. Our agents invest…

Trading and Market Microstructure · Quantitative Finance 2010-11-12 Georges Harras , Didier Sornette

This paper proposes a simple and parsimonious discrete-time simulation model to describe the endogenous formation and periodic collapse of financial bubbles. While existing literature has extensively explored the statistical properties of…

Trading and Market Microstructure · Quantitative Finance 2026-05-05 Naohiro Yoshida

We consider a simple stochastic differential equation for modeling bubbles in social context. A prime example is bubbles in asset pricing, but similar mechanisms may control a range of social phenomena driven by psychological factors (for…

General Finance · Quantitative Finance 2010-09-03 Alexander Kiselev , Lenya Ryzhik

Financial contagion has been widely recognized as a fundamental risk to the financial system. Particularly potent is price-mediated contagion, wherein forced liquidations by firms depress asset prices and propagate financial stress,…

Computational Finance · Quantitative Finance 2023-10-06 Zhiyu Cao , Zihan Chen , Prerna Mishra , Hamed Amini , Zachary Feinstein

Mandatory emission trading schemes are being established around the world. Participants of such market schemes are always exposed to risks. This leads to the creation of an accompanying market for emission-linked derivatives. To evaluate…

Pricing of Securities · Quantitative Finance 2010-01-25 K. Borovkov , G. Decrouez , J. Hinz

We extend a linear version of the liquidity risk model of Cetin et al. (2004) to allow for price impacts. We show that the impact of a market order on prices depends on the size of the transaction and the level of liquidity. We obtain a…

Probability · Mathematics 2009-12-10 Alexandre F. Roch

In the information-based approach to asset pricing the market filtration is modelled explicitly as a superposition of signals concerning relevant market factors and independent noise. The rate at which the signal is revealed to the market…

Pricing of Securities · Quantitative Finance 2010-09-21 Dorje C. Brody , Yan Tai Law

This article provides a self-contained overview of the theory of rational asset price bubbles. We cover topics from basic definitions, properties, and classical results to frontier research, with an emphasis on bubbles attached to real…

General Economics · Economics 2024-02-05 Tomohiro Hirano , Alexis Akira Toda

This paper aims to provide a simple modelling of speculative bubbles and derive some quantitative properties of its dynamical evolution. Starting from a description of individual speculative behaviours, we build and study a second order…

Probability · Mathematics 2013-09-25 Sébastien Gadat , Laurent Miclo , Fabien Panloup

A dynamical model is introduced for the formation of a bullish or bearish trends driving an asset price in a given market. Initially, each agent decides to buy or sell according to its personal opinion, which results from the combination of…

Physics and Society · Physics 2011-06-09 Serge Galam

This paper studies the equilibrium price of a continuous time asset traded in a market with heterogeneous investors. We consider a positive mean reverting asset and two groups of investors who have different beliefs on the speed of mean…

Mathematical Finance · Quantitative Finance 2021-10-22 Seunghyun Lee , Hyungbin Park

Proving the existence of speculative financial bubbles even a posteriori has proven exceedingly difficult so anticipating a speculative bubble ex ante would at first seem an impossible task. Still as illustrated by the recent turmoil in…

Trading and Market Microstructure · Quantitative Finance 2008-12-02 Magda Roszczynska , Andrzej Nowak , Daniel Kamieniarz , Sorin Solomon , Jorgen Vitting Andersen

The price-bubble and crash process formation is theoretically investigated in a two-asset equilibrium model. Sufficient and necessary conditions are derived for the existence of average equilibrium price dynamics of different agent-based…

Trading and Market Microstructure · Quantitative Finance 2024-09-06 Francesco Cordoni
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