IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1909.09239.html
   My bibliography  Save this paper

Systemic Cascades On Inhomogeneous Random Financial Networks

Author

Listed:
  • T. R. Hurd

Abstract

This systemic risk paper introduces inhomogeneous random financial networks (IRFNs). Such models are intended to describe parts, or the entirety, of a highly heterogeneous network of banks and their interconnections, in the global financial system. Both the balance sheets and the stylized crisis behaviour of banks are ingredients of the network model. A systemic crisis is pictured as triggered by a shock to banks' balance sheets, which then leads to the propagation of damaging shocks and the potential for amplification of the crisis, ending with the system in a cascade equilibrium. Under some conditions the model has ``locally tree-like independence (LTI)'', where a general percolation theoretic argument leads to an analytic fixed point equation describing the cascade equilibrium when the number of banks $N$ in the system is taken to infinity. This paper focusses on mathematical properties of the framework in the context of Eisenberg-Noe solvency cascades generalized to account for fractional bankruptcy charges. New results including a definition and proof of the ``LTI property'' of the Eisenberg-Noe solvency cascade mechanism lead to explicit $N=\infty$ fixed point equations that arise under very general model specifications. The essential formulas are shown to be implementable via well-defined approximation schemes, but numerical exploration of some of the wide range of potential applications of the method is left for future work.

Suggested Citation

  • T. R. Hurd, 2019. "Systemic Cascades On Inhomogeneous Random Financial Networks," Papers 1909.09239, arXiv.org.
  • Handle: RePEc:arx:papers:1909.09239
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1909.09239
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Gai, Prasanna & Kapadia, Sujit, 2010. "Contagion in financial networks," Bank of England working papers 383, Bank of England.
    2. Nier, Erlend & Yang, Jing & Yorulmazer, Tanju & Alentorn, Amadeo, 2007. "Network models and financial stability," Journal of Economic Dynamics and Control, Elsevier, vol. 31(6), pages 2033-2060, June.
    3. Hamed Amini & Rama Cont & Andreea Minca, 2016. "Resilience To Contagion In Financial Networks," Mathematical Finance, Wiley Blackwell, vol. 26(2), pages 329-365, April.
    4. T. R. Hurd, 2018. "Bank Panics And Fire Sales, Insolvency And Illiquidity," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 21(06), pages 1-30, September.
    5. Thomas R Hurd & James P Gleeson & Sergey Melnik, 2017. "A framework for analyzing contagion in assortative banking networks," PLOS ONE, Public Library of Science, vol. 12(2), pages 1-20, February.
    6. Larry Eisenberg & Thomas H. Noe, 2001. "Systemic Risk in Financial Systems," Management Science, INFORMS, vol. 47(2), pages 236-249, February.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Nils Detering & Thilo Meyer-Brandis & Konstantinos Panagiotou & Daniel Ritter, 2018. "Financial Contagion in a Generalized Stochastic Block Model," Papers 1803.08169, arXiv.org, revised Dec 2019.
    2. Qian, Qian & Chao, Xiangrui & Feng, Hairong, 2023. "Internal or external control? How to respond to credit risk contagion in complex enterprises network," International Review of Financial Analysis, Elsevier, vol. 87(C).
    3. Fabio Caccioli & Paolo Barucca & Teruyoshi Kobayashi, 2018. "Network models of financial systemic risk: a review," Journal of Computational Social Science, Springer, vol. 1(1), pages 81-114, January.
    4. T. R. Hurd, 2018. "Bank Panics And Fire Sales, Insolvency And Illiquidity," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 21(06), pages 1-30, September.
    5. Michel Alexandre & Gilberto Tadeu Lima & Luca Riccetti & Alberto Russo, 2023. "The financial network channel of monetary policy transmission: an agent-based model," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 18(3), pages 533-571, July.
    6. Valentina Macchiati & Giuseppe Brandi & Tiziana Di Matteo & Daniela Paolotti & Guido Caldarelli & Giulio Cimini, 2022. "Systemic liquidity contagion in the European interbank market," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 17(2), pages 443-474, April.
    7. Nan Chen & Xin Liu & David D. Yao, 2016. "An Optimization View of Financial Systemic Risk Modeling: Network Effect and Market Liquidity Effect," Operations Research, INFORMS, vol. 64(5), pages 1089-1108, October.
    8. Marco Bardoscia & Paolo Barucca & Stefano Battiston & Fabio Caccioli & Giulio Cimini & Diego Garlaschelli & Fabio Saracco & Tiziano Squartini & Guido Caldarelli, 2021. "The Physics of Financial Networks," Papers 2103.05623, arXiv.org.
    9. Silva, Thiago Christiano & Souza, Sergio Rubens Stancato & Tabak, Benjamin Miranda, 2017. "Monitoring vulnerability and impact diffusion in financial networks," Journal of Economic Dynamics and Control, Elsevier, vol. 76(C), pages 109-135.
    10. Brandi, Giuseppe & Di Clemente, Riccardo & Cimini, Giulio, 2018. "Epidemics of liquidity shortages in interbank markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 507(C), pages 255-267.
    11. Maxim Bichuch & Nils Detering, 2022. "Optimal Support for Distressed Subsidiaries -- a Systemic Risk Perspective," Papers 2201.12731, arXiv.org, revised Mar 2024.
    12. T. R. Hurd, 2023. "Systemic cascades on inhomogeneous random financial networks," Mathematics and Financial Economics, Springer, volume 17, number 1, March.
    13. Fariba Karimi & Matthias Raddant, 2016. "Cascades in Real Interbank Markets," Computational Economics, Springer;Society for Computational Economics, vol. 47(1), pages 49-66, January.
    14. Kuzubaş, Tolga Umut & Saltoğlu, Burak & Sever, Can, 2016. "Systemic risk and heterogeneous leverage in banking networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 358-375.
    15. Gabrielle Demange, 2018. "Contagion in Financial Networks: A Threat Index," Management Science, INFORMS, vol. 64(2), pages 955-970, February.
    16. Li, Fei & Kang, Hao & Xu, Jingfeng, 2022. "Financial stability and network complexity: A random matrix approach," International Review of Economics & Finance, Elsevier, vol. 80(C), pages 177-185.
    17. Irena Barjav{s}i'c & Stefano Battiston & Vinko Zlati'c, 2023. "Credit Valuation Adjustment in Financial Networks," Papers 2305.16434, arXiv.org.
    18. Aldasoro, Iñaki & Hüser, Anne-Caroline & Kok, Christoffer, 2022. "Contagion accounting in stress-testing," Journal of Economic Dynamics and Control, Elsevier, vol. 137(C).
    19. Thibaut PIQUARD & Dilyara SALAKHOVA, 2018. "Macroprudential policy instruments: a bulwark against interbank contagion risk [Les instruments de politique macroprudentielle : un rempart contre les risques de contagion interbancaire]," Bulletin de la Banque de France, Banque de France, issue 218.
    20. Barnett, William A. & Wang, Xue & Xu, Hai-Chuan & Zhou, Wei-Xing, 2022. "Hierarchical contagions in the interdependent financial network," Journal of Financial Stability, Elsevier, vol. 61(C).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:1909.09239. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.