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Systemic risk and copula models

Author

Listed:
  • Georg Ch. Pflug

    (Universität Wien
    IIASA)

  • Alois Pichler

    (Technische Universität Chemnitz)

Abstract

Systemic risk describes the phenomenon that dependency adds a specific component of risk to a system or network of (financial) institutions as a whole, which would not be present if the institutions were independent from each other. This paper introduces the concept of systemic risk measures. We describe and study its behavior as a function of the copula, which represents the loss variables of the institutions in the network. Further, we define stochastic order relations on copulas and relate them with systemic risk measures.

Suggested Citation

  • Georg Ch. Pflug & Alois Pichler, 2018. "Systemic risk and copula models," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 26(2), pages 465-483, June.
    • Handle: RePEc:spr:cejnor:v:26:y:2018:i:2:d:10.1007_s10100-018-0525-z
    DOI: 10.1007/s10100-018-0525-z
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    References listed on IDEAS

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    1. Marco Scarsini, 1998. "Multivariate convex orderings, dependence, and stochastic equality," Post-Print hal-00541775, HAL.
    2. Hofert, Marius, 2008. "Sampling Archimedean copulas," Computational Statistics & Data Analysis, Elsevier, vol. 52(12), pages 5163-5174, August.
    3. Bauerle, Nicole & Muller, Alfred, 2006. "Stochastic orders and risk measures: Consistency and bounds," Insurance: Mathematics and Economics, Elsevier, vol. 38(1), pages 132-148, February.
    4. Denuit, Michel & Vermandele, Catherine, 1998. "Optimal reinsurance and stop-loss order," Insurance: Mathematics and Economics, Elsevier, vol. 22(3), pages 229-233, July.
    5. Ramona Maier & Mario Wuthrich, 2009. "Law of large numbers and large deviations for dependent risks," Quantitative Finance, Taylor & Francis Journals, vol. 9(2), pages 207-215.
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    Cited by:

    1. Jarosław Duda & Henryk Gurgul & Robert Syrek, 2022. "Multi-feature evaluation of financial contagion," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 30(4), pages 1167-1194, December.
    2. Asjad Naqvi & Franziska Gaupp & Stefan Hochrainer-Stigler, 2020. "The risk and consequences of multiple breadbasket failures: an integrated copula and multilayer agent-based modeling approach," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 42(3), pages 727-754, September.
    3. Immanuel Bomze & Karl F. Dörner & Richard F. Hartl & Ulrike Leopold-Wildburger & Georg Pflug & Marion Rauner & Christian Stummer & Gernot Tragler & Tina Wakolbinger, 2018. "Emerging and innovative OR applications: a special issue in honor of Walter J. Gutjahr," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 26(2), pages 259-263, June.
    4. Stefan Hochrainer-Stigler & Juraj Balkovič & Kadri Silm & Anna Timonina-Farkas, 2019. "Large scale extreme risk assessment using copulas: an application to drought events under climate change for Austria," Computational Management Science, Springer, vol. 16(4), pages 651-669, October.
    5. Guzmics Sándor & Pflug Georg Ch., 2019. "Modelling cascading effects for systemic risk: Properties of the Freund copula," Dependence Modeling, De Gruyter, vol. 7(1), pages 24-44, February.

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