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This paper proposes a novel dynamical model for determining clearing payments in financial networks. We extend the classical Eisenberg-Noe model of financial contagion to multiple time periods, allowing financial operations to continue…

Optimization and Control · Mathematics 2024-01-17 Giuseppe C. Calafiore , Giulia Fracastoro , Anton V. Proskurnikov

In this paper we study the implications of contingent payments on the clearing wealth in a network model of financial contagion. We consider an extension of the Eisenberg-Noe financial contagion model in which the nominal interbank…

Mathematical Finance · Quantitative Finance 2018-12-14 Tathagata Banerjee , Zachary Feinstein

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

The current global financial system forms a highly interconnected network where a default in one of its nodes can propagate to many other nodes, causing a catastrophic avalanche effect. In this paper we consider the problem of reducing the…

Optimization and Control · Mathematics 2022-07-05 Giuseppe Calafiore , Giulia Fracastoro , Anton V. Proskurnikov

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

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

The interconnectedness of financial institutions affects instability and credit crises. To quantify systemic risk we introduce here the PD model, a dynamic model that combines credit risk techniques with a contagion mechanism on the network…

Computational Finance · Quantitative Finance 2018-04-10 Daniele Petrone , Vito Latora

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

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

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

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

In this paper, we propose a dynamical model to capture cascading failures among interconnected organizations in the global financial system. Failures can take the form of bankruptcies, defaults, and other insolvencies. The network that…

Optimization and Control · Mathematics 2023-11-13 Leonardo Stella , Dario Bauso , Franco Blanchini , Patrizio Colaneri

Propagation of balance-sheet or cash-flow insolvency across financial institutions may be modeled as a cascade process on a network representing their mutual exposures. We derive rigorous asymptotic results for the magnitude of contagion in…

Risk Management · Quantitative Finance 2014-03-26 Hamed Amini , Rama Cont , Andreea Minca

The scope of financial systemic risk research encompasses a wide range of interbank channels and effects, including asset correlation shocks, default contagion, illiquidity contagion, and asset fire sales. This paper introduces a financial…

General Finance · Quantitative Finance 2016-09-23 Thomas R. Hurd , Davide Cellai , Sergey Melnik , Quentin Shao

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

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 global financial crisis in 2007-2009 demonstrated that systemic risk can spread all over the world through a complex web of financial linkages, yet we still lack fundamental knowledge about the evolution of the financial web. In…

Statistical Finance · Quantitative Finance 2018-06-11 Teruyoshi Kobayashi , Taro Takaguchi

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

How, and to what extent, does an interconnected financial system endogenously amplify external shocks? This paper attempts to reconcile some apparently different views emerged after the 2008 crisis regarding the nature and the relevance of…

Risk Management · Quantitative Finance 2016-08-30 Gabriele Visentin , Stefano Battiston , Marco D'Errico

This paper investigates two mechanisms of financial contagion that are, firstly, the correlated exposure of banks to the same source of risk, and secondly the direct exposure of banks in the interbank market. It will consider a random…

Computational Finance · Quantitative Finance 2016-03-15 Seyyed Mostafa Mousavi , Robert Mackay , Alistair Tucker
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