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The framework of systemic risk related to contagion, recovery rate and capital requirement in an interbank network

Author

Listed:
  • Xuemin Ren

    (Institute of Risk Management, Department of Mathematics, Tongji University, No. 1239 Siping Road, Shanghai, China 200092, China)

  • George X. Yuan

    (Institute of Risk Management, Department of Mathematics, Tongji University, No. 1239 Siping Road, Shanghai, China 200092, China)

  • Lishang Jiang

    (Institute of Risk Management, Department of Mathematics, Tongji University, No. 1239 Siping Road, Shanghai, China 200092, China)

Abstract

In this paper, by using the "clearing payment concept" initially introduced by Eisenberg and Noe (2001, Systemic Risk in Financial Systems. Management Science, 47(2), 236–249), under general framework of financial system (network) in an interbank network, we first discuss the mechanics of systemic risk's contagions related to assets' recovery rate, and capital requirement. Then under the general regularity condition for the financial network, we discuss some new results for the existence, uniqueness, and continuity results which could be regarded as the fundamental supporting for the systemic risk measurement in terms of numerical analysis with simulations in the practice.

Suggested Citation

  • Xuemin Ren & George X. Yuan & Lishang Jiang, 2014. "The framework of systemic risk related to contagion, recovery rate and capital requirement in an interbank network," Journal of Financial Engineering (JFE), World Scientific Publishing Co. Pte. Ltd., vol. 1(01), pages 1-23.
  • Handle: RePEc:wsi:jfexxx:v:01:y:2014:i:01:n:s2345768614500044
    DOI: 10.1142/S2345768614500044
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    References listed on IDEAS

    as
    1. Dimitrios Bisias & Mark Flood & Andrew W. Lo & Stavros Valavanis, 2012. "A Survey of Systemic Risk Analytics," Annual Review of Financial Economics, Annual Reviews, vol. 4(1), pages 255-296, October.
    2. Céline Gauthier & Alfred Lehar & Moez Souissi, 2010. "Macroprudential Regulation and Systemic Capital Requirements," Staff Working Papers 10-4, Bank of Canada.
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    Cited by:

    1. Zachary Feinstein & Weijie Pang & Birgit Rudloff & Eric Schaanning & Stephan Sturm & Mackenzie Wildman, 2017. "Sensitivity of the Eisenberg-Noe clearing vector to individual interbank liabilities," Papers 1708.01561, arXiv.org, revised Oct 2018.

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    More about this item

    Keywords

    Systemic risk; clearing payment vector; contagion; interbank network; recovery rate; capital requirement; financial system; obstacle problem; C02; D85; G21; G28;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages
    • G28 - Financial Economics - - Financial Institutions and Services - - - Government Policy and Regulation

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