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Resolving a clearing member’s default a Radner equilibrium approach

Author

Listed:
  • Dorinel Bastide

    (BNP Paribas Stress Testing Methodologies and Models
    Université d’Evry/Université Paris-Saclay)

  • Stéphane Crépey

    (Sorbonne Université et Université Paris Cité)

  • Samuel Drapeau

    (Shanghai Jiao Tong University)

  • Mekonnen Tadese

    (Statistique et Modélisation (LPSM)
    Centre de Mathématiques Appliquées (CMAP)
    Woldia University)

Abstract

For vanilla derivatives, which form the core of investment banks’ hedging portfolios, central clearing via central counterparties (CCPs) has become the prevailing standard. A fundamental role of a CCP is to ensure an efficient and effective resolution process in the event of a clearing member’s default. Upon such a default, the CCP is tasked with hedging and subsequently auctioning or liquidating the defaulted positions. While the counterparty credit risk associated with auctioning has been examined in prior studies from a valuation adjustments (XVA) perspective, this work focuses on evaluating the costs associated with hedging or liquidation. This is achieved by contrasting pre- and post-default market equilibria through a Radner equilibrium framework applied to portfolio allocation and price discovery in both scenarios. We establish the unique existence of Radner equilibria and provide both analytical and numerical solutions within elliptically distributed market settings. These insights equip CCPs with a rational basis for determining whether to hedge, auction, or liquidate defaulted portfolios in specific markets. Moreover, clearing members can leverage these findings to conduct what-if analyses, addressing inquiries from senior management and regulatory bodies. This study also underscores the advantages of central clearing over bilateral trading from a default resolution perspective.

Suggested Citation

  • Dorinel Bastide & Stéphane Crépey & Samuel Drapeau & Mekonnen Tadese, 2025. "Resolving a clearing member’s default a Radner equilibrium approach," Mathematics and Financial Economics, Springer, volume 19, number 7, September.
    • Handle: RePEc:spr:mathfi:v:19:y:2025:i:1:d:10.1007_s11579-024-00380-0
    DOI: 10.1007/s11579-024-00380-0
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    References listed on IDEAS

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    1. Bruno Biais & Florian Heider & Marie Hoerova, 2016. "Risk-Sharing or Risk-Taking? Counterparty Risk, Incentives, and Margins," Journal of Finance, American Finance Association, vol. 71(4), pages 1669-1698, August.
    2. Albanese Claudio & Armenti Yannick & Crépey Stéphane, 2020. "XVA metrics for CCP optimization," Statistics & Risk Modeling, De Gruyter, vol. 37(1-2), pages 25-53, January.
    3. Dorinel Bastide & Stéphane Crépey & Samuel Drapeau & Mekonnen Tadese, 2023. "Derivatives’ Risks as Costs in a One-Period Network Model," World Scientific Book Chapters, in: Robert A Jarrow & Dilip B Madan (ed.), Peter Carr Gedenkschrift Research Advances in Mathematical Finance, chapter 8, pages 265-310, World Scientific Publishing Co. Pte. Ltd..
    4. Robert E. Gaunt, 2021. "A simple proof of the characteristic function of Student’s t-distribution," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 50(14), pages 3380-3383, July.
    5. Michael Kalkbrener, 2005. "An Axiomatic Approach To Capital Allocation," Mathematical Finance, Wiley Blackwell, vol. 15(3), pages 425-437, July.
    6. Alexander J. McNeil & Rüdiger Frey & Paul Embrechts, 2015. "Quantitative Risk Management: Concepts, Techniques and Tools Revised edition," Economics Books, Princeton University Press, edition 2, number 10496.
    7. Vicente, L.A.B.G. & Cerezetti, F.V. & De Faria, S.R. & Iwashita, T. & Pereira, O.R., 2015. "Managing risk in multi-asset class, multimarket central counterparties: The CORE approach," Journal of Banking & Finance, Elsevier, vol. 51(C), pages 119-130.
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