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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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    1. Craig, Ben & von Peter, Goetz, 2014. "Interbank tiering and money center banks," Journal of Financial Intermediation, Elsevier, vol. 23(3), pages 322-347.
    2. Ben Hambly & Andreas Søjmark, 2019. "An SPDE model for systemic risk with endogenous contagion," Finance and Stochastics, Springer, vol. 23(3), pages 535-594, July.
    3. Gerardo Ferrara & Sam Langfield & Zijun Liu & Tomohiro Ota, 2019. "Systemic illiquidity in the interbank network," Quantitative Finance, Taylor & Francis Journals, vol. 19(11), pages 1779-1795, November.
    4. Gai, Prasanna & Kapadia, Sujit, 2010. "Contagion in financial networks," Bank of England working papers 383, Bank of England.
    5. Tathagata Banerjee & Zachary Feinstein, 2018. "Pricing of debt and equity in a financial network with comonotonic endowments," Papers 1810.01372, arXiv.org, revised Sep 2021.
    6. in ’t Veld, Daan & van Lelyveld, Iman, 2014. "Finding the core: Network structure in interbank markets," Journal of Banking & Finance, Elsevier, vol. 49(C), pages 27-40.
    7. Paolo Barucca & Marco Bardoscia & Fabio Caccioli & Marco D'Errico & Gabriele Visentin & Guido Caldarelli & Stefano Battiston, 2016. "Network Valuation in Financial Systems," Papers 1606.05164, arXiv.org, revised Jun 2020.
    8. Capponi, Agostino & Chen, Peng-Chu, 2015. "Systemic risk mitigation in financial networks," Journal of Economic Dynamics and Control, Elsevier, vol. 58(C), pages 152-166.
    9. Xin Guo & Robert Jarrow & Haizhi Lin, 2008. "Distressed debt prices and recovery rate estimation," Review of Derivatives Research, Springer, vol. 11(3), pages 171-204, October.
    10. Tathagata Banerjee & Alex Bernstein & Zachary Feinstein, 2018. "Dynamic Clearing and Contagion in Financial Networks," Papers 1801.02091, arXiv.org, revised Jun 2024.
    11. Yongli Li & Guanghe Liu & Paolo Pin, 2018. "Network-based risk measurements for interbank systems," PLOS ONE, Public Library of Science, vol. 13(7), pages 1-18, July.
    12. Guha, Rajiv & Sbuelz, Alessandro & Tarelli, Andrea, 2020. "Structural recovery of face value at default," European Journal of Operational Research, Elsevier, vol. 283(3), pages 1148-1171.
    13. Konstantinos Spiliopoulos & Jia Yang, 2018. "Network effects in default clustering for large systems," Papers 1812.07645, arXiv.org, revised Feb 2020.
    14. L. C. G. Rogers & L. A. M. Veraart, 2013. "Failure and Rescue in an Interbank Network," Management Science, INFORMS, vol. 59(4), pages 882-898, April.
    15. Sonin, Konstantin & Sonin, Isaac, 2020. "A Continuous-Time Model of Financial Clearing," CEPR Discussion Papers 15117, C.E.P.R. Discussion Papers.
    16. Larry Eisenberg & Thomas H. Noe, 2001. "Systemic Risk in Financial Systems," Management Science, INFORMS, vol. 47(2), pages 236-249, February.
    17. Paolo Barucca & Marco Bardoscia & Fabio Caccioli & Marco D'Errico & Gabriele Visentin & Guido Caldarelli & Stefano Battiston, 2020. "Network valuation in financial systems," Mathematical Finance, Wiley Blackwell, vol. 30(4), pages 1181-1204, October.
    18. Isaac M. Sonin & Konstantin Sonin, 2017. "Banks as Tanks: A Continuous-Time Model of Financial Clearing," Papers 1705.05943, arXiv.org, revised Jul 2020.
    19. Hamed Amini & Andreea Minca, 2016. "Inhomogeneous Financial Networks and Contagious Links," Operations Research, INFORMS, vol. 64(5), pages 1109-1120, October.
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    Citations

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    Cited by:

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

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