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Related papers: A default system with overspilling contagion

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The present paper provides a multi-period contagion model in the credit risk field. Our model is an extension of Davis and Lo's infectious default model. We consider an economy of n firms which may default directly or may be infected by…

Risk Management · Quantitative Finance 2010-02-01 Didier Rullière , Diana Dorobantu , Areski Cousin

The present paper introduces a structural framework to model dependent defaults, with a particular interest in their contagion.

Mathematical Finance · Quantitative Finance 2017-08-29 Jiro Akahori , Hai Ha Pham

We consider a dynamic model of interconnected banks. New banks can emerge, and existing banks can default, creating a birth-and-death setup. Microscopically, banks evolve as independent geometric Brownian motions. Systemic effects are…

Probability · Mathematics 2019-05-28 Tomoyuki Ichiba , Michael Ludkovski , Andrey Sarantsev

We propose a novel credit default model that takes into account the impact of macroeconomic information and contagion effect on the defaults of obligors. We use a set-valued Markov chain to model the default process, which is the set of all…

Risk Management · Quantitative Finance 2018-08-31 Dianfa Chen , Jun Deng , Jianfen Feng , Bin Zou

The classical reduced-form and filtration expansion framework in credit risk is extended to the case of multiple, non-ordered defaults, assuming that conditional densities of the default times exist. Intensities and pricing formulas are…

Risk Management · Quantitative Finance 2011-06-22 Younes Kchia , Martin Larsson

In this work we introduce a model of default contagion that combines the approaches of Eisenberg-Noe interbank networks and dynamic mean field interactions. The proposed contagion mechanism provides an endogenous rule for early defaults in…

Mathematical Finance · Quantitative Finance 2019-12-19 Zachary Feinstein , Andreas Sojmark

We study a simple, solvable model that allows us to investigate effects of credit contagion on the default probability of individual firms, in both portfolios of firms and on an economy wide scale. While the effect of interactions may be…

Physics and Society · Physics 2008-12-02 J. P. L. Hatchett , R. Kuehn

Can contagion be inferred from aggregated default data? We study this as a problem of identifiability, asking whether contagion generates components in default count distributions that remain distinct from those induced by macroeconomic…

Risk Management · Quantitative Finance 2026-05-12 Shintaro Mori

The importance of adequately modeling credit risk has once again been highlighted in the recent financial crisis. Defaults tend to cluster around times of economic stress due to poor macro-economic conditions, {\em but also} by directly…

Risk Management · Quantitative Finance 2015-06-04 Sebastian Heise , Reimer Kuehn

We develop a structural default model for interconnected financial institutions in a probabilistic framework. For all possible network structures we characterize the joint default distribution of the system using Bayesian network…

Risk Management · Quantitative Finance 2018-07-02 Carsten Chong , Claudia Klüppelberg

In this work we provide a simple setting that connects the structural modelling approach of Gai-Kapadia interbank networks with the mean-field approach to default contagion. To accomplish this we make two key contributions. First, we…

Mathematical Finance · Quantitative Finance 2021-07-08 Zachary Feinstein , Andreas Sojmark

One of the most defining features of the global financial network is its inherent complex and intertwined structure. From the perspective of systemic risk it is important to understand the influence of this network structure on default…

Risk Management · Quantitative Finance 2019-12-11 Nils Detering , Thilo Meyer-Brandis , Konstantinos Panagiotou , Daniel Ritter

We consider a multivariate default system where random environmental information is available. We study the dynamics of the system in a general setting and adopt the point of view of change of probability measures. We also make a link with…

Risk Management · Quantitative Finance 2016-11-21 Nicole El Karoui , Monique Jeanblanc , Ying Jiao

We study multiple defaults where the global market information is modelled as progressive enlargement of filtrations. We shall provide a general pricing formula by establishing a relationship between the enlarged filtration and the…

Portfolio Management · Quantitative Finance 2009-12-17 Ying Jiao

We propose a new model of the liquidity driven banking system focusing on overnight interbank loans. This significant branch of the interbank market is commonly neglected in the banking system modeling and systemic risk analysis. We…

Economics · Quantitative Finance 2016-03-17 Paweł Smaga , Mateusz Wiliński , Piotr Ochnicki , Piotr Arendarski , Tomasz Gubiec

As impressively shown by the financial crisis in 2007/08, contagion effects in financial networks harbor a great threat for the stability of the entire system. Without sufficient capital requirements for banks and other financial…

Risk Management · Quantitative Finance 2019-11-19 Daniel Ritter

Interbank contagion can theoretically exacerbate losses in a financial system and lead to additional cascade defaults during downturn. In this paper we produce default analysis using both regression and neural network models to verify…

Risk Management · Quantitative Finance 2020-05-29 Riccardo Doyle

We consider a general tractable model for default contagion and systemic risk in a heterogeneous financial network, subject to an exogenous macroeconomic shock. We show that, under some regularity assumptions, the default cascade model…

Risk Management · Quantitative Finance 2021-04-02 Hamed Amini , Zhongyuan Cao , Agnes Sulem

The aim of this paper is to quantify and manage systemic risk caused by default contagion in the interbank market. We model the market as a random directed network, where the vertices represent financial institutions and the weighted edges…

Risk Management · Quantitative Finance 2021-01-18 Nils Detering , Thilo Meyer-Brandis , Konstantinos Panagiotou , Daniel Ritter

We introduce a dynamic and stochastic interbank model with an endogenous notion of distress contagion, arising from rational worries about future defaults and ensuing losses. This entails a mark-to-market valuation adjustment for interbank…

Mathematical Finance · Quantitative Finance 2025-02-27 Zachary Feinstein , Andreas Sojmark
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