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Dynamic Default Contagion in Heterogeneous Interbank Systems

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  • Zachary Feinstein
  • Andreas Sojmark

Abstract

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 propose a dynamic default contagion model with endogenous early defaults for a finite set of banks, generalising the Gai-Kapadia framework. Second, we reformulate this system as a stochastic particle system leading to a limiting mean-field problem. We study the existence of these clearing systems and, for the mean-field problem, the continuity of the system response.

Suggested Citation

  • Zachary Feinstein & Andreas Sojmark, 2020. "Dynamic Default Contagion in Heterogeneous Interbank Systems," Papers 2010.15254, arXiv.org, revised Jul 2021.
    • Handle: RePEc:arx:papers:2010.15254
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    References listed on IDEAS

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    Cited by:

    1. Giuseppe C. Calafiore & Giulia Fracastoro & Anton V. Proskurnikov, 2022. "Clearing Payments in Dynamic Financial Networks," Papers 2201.12898, arXiv.org, revised May 2022.
    2. Feinstein, Zachary & Hałaj, Grzegorz, 2023. "Interbank asset-liability networks with fire sale management," Journal of Economic Dynamics and Control, Elsevier, vol. 155(C).
    3. Matteo Citterio & Marco D'Errico & Gabriele Visentin, 2024. "Conditional Forecasting of Margin Calls using Dynamic Graph Neural Networks," Papers 2410.23275, arXiv.org.
    4. Zachary Feinstein & Andreas Sojmark, 2021. "Contagious McKean-Vlasov systems with heterogeneous impact and exposure," Papers 2104.06776, arXiv.org, revised Sep 2022.
    5. Zachary Feinstein & Andreas Sojmark, 2022. "Endogenous distress contagion in a dynamic interbank model: how possible future losses may spell doom today," Papers 2211.15431, arXiv.org, revised Aug 2024.
    6. Hamed Amini & Zhongyuan Cao & Andreea Minca & Agn`es Sulem, 2023. "Ruin Probabilities for Risk Processes in Stochastic Networks," Papers 2302.06668, arXiv.org.

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