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Resolving a Clearing Member's Default, A Radner Equilibrium Approach

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Listed:
  • Dorinel Bastide

    (LaMME)

  • St'ephane Cr'epey

    (LPSM)

  • Samuel Drapeau

    (LPSM)

  • Mekonnen Tadese

    (LPSM)

Abstract

For vanilla derivatives that constitute the bulk of investment banks' hedging portfolios, central clearing through central counterparties (CCPs) has become hegemonic. A key mandate of a CCP is to provide an efficient and proper clearing member default resolution procedure. When a clearing member defaults, the CCP can hedge and auction or liquidate its positions. The counterparty credit risk cost of auctioning has been analyzed in terms of XVA metrics in Bastide, Cr{\'e}pey, Drapeau, and Tadese (2023). In this work we assess the costs of hedging or liquidating. This is done by comparing pre- and post-default market equilibria, using a Radner equilibrium approach for portfolio allocation and price discovery in each case. We show that the Radner equilibria uniquely exist and we provide both analytical and numerical solutions for the latter in elliptically distributed markets. Using such tools, a CCP could decide rationally on which market to hedge and auction or liquidate defaulted portfolios.

Suggested Citation

  • Dorinel Bastide & St'ephane Cr'epey & Samuel Drapeau & Mekonnen Tadese, 2023. "Resolving a Clearing Member's Default, A Radner Equilibrium Approach," Papers 2310.02608, arXiv.org, revised Oct 2024.
    • Handle: RePEc:arx:papers:2310.02608
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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. Albert J. Menkveld & Guillaume Vuillemey, 2021. "The Economics of Central Clearing," Annual Review of Financial Economics, Annual Reviews, vol. 13(1), pages 153-178, November.
    3. Dr. Robert Oleschak, 2019. "Central Counterparty Auctions and Loss Allocation," Working Papers 2019-06, Swiss National Bank.
    4. Radner, Roy, 1972. "Existence of Equilibrium of Plans, Prices, and Price Expectations in a Sequence of Markets," Econometrica, Econometric Society, vol. 40(2), pages 289-303, March.
    5. Zinoviy Landsman & Emiliano Valdez, 2003. "Tail Conditional Expectations for Elliptical Distributions," North American Actuarial Journal, Taylor & Francis Journals, vol. 7(4), pages 55-71.
    6. Michael Kalkbrener, 2005. "An Axiomatic Approach To Capital Allocation," Mathematical Finance, Wiley Blackwell, vol. 15(3), pages 425-437, July.
    7. 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.
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