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Derivatives Risks as Costs in a One-Period Network Model

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Listed:
  • Dorinel Bastide

    (UEVE - Université d'Évry-Val-d'Essonne, Université Paris-Saclay, LaMME - Laboratoire de Mathématiques et Modélisation d'Evry - ENSIIE - Ecole Nationale Supérieure d'Informatique pour l'Industrie et l'Entreprise - UEVE - Université d'Évry-Val-d'Essonne - Université Paris-Saclay - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, BNP-Paribas, Stress Testing Methodologies & Models - BNP-Paribas)

  • Stéphane Crépey

    (LPSM (UMR_8001) - Laboratoire de Probabilités, Statistique et Modélisation - SU - Sorbonne Université - CNRS - Centre National de la Recherche Scientifique - UPCité - Université Paris Cité, UFR 929 - Sorbonne Université - UFR de Mathématiques - SU - Sorbonne Université)

  • Samuel Drapeau

    (Shanghai University, Shangaï Jiao Tong University [Shangaï], SAIF - Shanghai Advanced Institute of Finance)

  • Mekonnen Tadese

    (Woldia University)

Abstract

We present a one-period XVA model encompassing bilateral and centrally cleared trading in a unified framework with explicit formulas for most quantities at hand. We illustrate possible uses of this framework for running stress test exercises on a financial network from a clearing member's perspective or for optimizing the porting of the portfolio of a defaulted clearing member.

Suggested Citation

  • Dorinel Bastide & Stéphane Crépey & Samuel Drapeau & Mekonnen Tadese, 2022. "Derivatives Risks as Costs in a One-Period Network Model," Working Papers hal-03554577, HAL.
    • Handle: RePEc:hal:wpaper:hal-03554577
    Note: View the original document on HAL open archive server: https://hal.science/hal-03554577v2
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    References listed on IDEAS

    as
    1. Murphy, David & Nahai-Williamson, Paul, 2014. "Financial Stability Paper 30: Dear Prudence, won’t you come out to play? Approaches to the analysis of CCP default fund adequacy," Bank of England Financial Stability Papers 30, Bank of England.
    2. Claudio Albanese & Stéphane Crépey & Rodney Hoskinson & Bouazza Saadeddine, 2021. "XVA analysis from the balance sheet," Quantitative Finance, Taylor & Francis Journals, vol. 21(1), pages 99-123, January.
    3. Acerbi, Carlo & Tasche, Dirk, 2002. "On the coherence of expected shortfall," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1487-1503, July.
    4. 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.
    5. Umar Faruqui & Wenqian Huang & Előd Takáts, 2018. "Clearing risks in OTC derivatives markets: the CCP-bank nexus," BIS Quarterly Review, Bank for International Settlements, December.
    6. Dr. Robert Oleschak, 2019. "Central Counterparty Auctions and Loss Allocation," Working Papers 2019-06, Swiss National Bank.
    7. Bora Durdu & Rochelle M. Edge & Daniel Schwindt, 2017. "Measuring the Severity of Stress-Test Scenarios," FEDS Notes 2017-05-05, Board of Governors of the Federal Reserve System (U.S.).
    Full references (including those not matched with items on IDEAS)

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