IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1710.03161.html
   My bibliography  Save this paper

Counterparty Trading Limits Revisited:CSAs, IM, SwapAgent(r), from PFE to PFL

Author

Listed:
  • Chris Kenyon
  • Mourad Berrahoui
  • Benjamin Poncet

Abstract

The utility of Potential Future Exposure (PFE) for counterparty trading limits is being challenged by new market developments, notably widespread regulatory Initial Margin (using 99% 10-day exposure), and netting of trade and collateral flows. However PFE has pre-existing challenges w.r.t. portfolios/distributions, collateralization, netting set seniority, and overlaps with CVA. We introduce Potential Future Loss (PFL) which combines expected shortfall (ES) and loss given default (LGD) as a replacement for PFE. With two additional variants Adjusted PFL (aPFL) and Protected Adjusted PFL (paPFL) these deal with both new and pre-existing challenges. We provide a theoretical background and numerical examples.

Suggested Citation

  • Chris Kenyon & Mourad Berrahoui & Benjamin Poncet, 2017. "Counterparty Trading Limits Revisited:CSAs, IM, SwapAgent(r), from PFE to PFL," Papers 1710.03161, arXiv.org, revised Nov 2018.
  • Handle: RePEc:arx:papers:1710.03161
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1710.03161
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Hui Chen & Rui Cui & Zhiguo He & Konstantin Milbradt, 2018. "Quantifying Liquidity and Default Risks of Corporate Bonds over the Business Cycle," The Review of Financial Studies, Society for Financial Studies, vol. 31(3), pages 852-897.
    2. Bjerksund, Petter & Stensland, Gunnar, 2006. "Closed form spread option valuation," Discussion Papers 2006/20, Norwegian School of Economics, Department of Business and Management Science.
    3. Ruggero Caldana & Gianluca Fusai & Alessandro Gnoatto & Martino Grasselli, 2016. "General closed-form basket option pricing bounds," Quantitative Finance, Taylor & Francis Journals, vol. 16(4), pages 535-554, April.
    4. Chris Kenyon & Andrew Green & Mourad Berrahoui, 2015. "Which measure for PFE? The Risk Appetite Measure, A," Papers 1512.06247, arXiv.org.
    5. Petter Bjerksund & Gunnar Stensland, 2014. "Closed form spread option valuation," Quantitative Finance, Taylor & Francis Journals, vol. 14(10), pages 1785-1794, October.
    6. Jankowitsch, Rainer & Nagler, Florian & Subrahmanyam, Marti G., 2014. "The determinants of recovery rates in the US corporate bond market," Journal of Financial Economics, Elsevier, vol. 114(1), pages 155-177.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jaehyuk Choi, 2018. "Sum of all Black–Scholes–Merton models: An efficient pricing method for spread, basket, and Asian options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 38(6), pages 627-644, June.
    2. Zhang, Jiayi & Zhou, Ke, 2025. "Pricing options on the maximum or the minimum of several assets with default risk," The North American Journal of Economics and Finance, Elsevier, vol. 75(PA).
    3. Hu, Dongdong & Sayit, Hasanjan & Yao, Jing & Zhong, Qifeng, 2024. "Closed-form approximations for basket option pricing under normal tempered stable Lévy model," The North American Journal of Economics and Finance, Elsevier, vol. 74(C).
    4. Nuerxiati Abudurexiti & Kai He & Dongdong Hu & Hasanjan Sayit, 2021. "A note on closed-form spread option valuation under log-normal models," Papers 2109.05431, arXiv.org, revised Feb 2024.
    5. Elisa Alòs & Jorge A. León, 2016. "On the short-maturity behaviour of the implied volatility skew for random strike options and applications to option pricing approximation," Quantitative Finance, Taylor & Francis Journals, vol. 16(1), pages 31-42, January.
    6. Edoardo Berton & Lorenzo Mercuri, 2021. "An Efficient Unified Approach for Spread Option Pricing in a Copula Market Model," Papers 2112.11968, arXiv.org, revised Feb 2023.
    7. Lorenz Schneider & Bertrand Tavin, 2014. "From the Samuelson Volatility Effect to a Samuelson Correlation Effect: Evidence from Crude Oil Calendar Spread Options," Papers 1401.7913, arXiv.org, revised Feb 2015.
    8. Xenos Chang-Shuo Lin & Daniel Wei-Chung Miao & Emma En-Tze Chang, 2024. "Testing the Closed-Form Spread Option Pricing Formula Based on Gauss-Hermite Quadrature for a Jump-Diffusion Model," Computational Economics, Springer;Society for Computational Economics, vol. 64(5), pages 2879-2908, November.
    9. Nicola Secomandi, 2015. "Merchant Commodity Storage Practice Revisited," Operations Research, INFORMS, vol. 63(5), pages 1131-1143, October.
    10. Dasgupta, Amil & Choi, Jaewon & Oh, Ji Yeol Jimmy, 2019. "Bond Funds and Credit Risk," CEPR Discussion Papers 14134, C.E.P.R. Discussion Papers.
    11. Wang, Xingchun & Zhang, Han, 2022. "Pricing basket spread options with default risk under Heston–Nandi GARCH models," The North American Journal of Economics and Finance, Elsevier, vol. 59(C).
    12. Griselda Deelstra & Alexandre Petkovic & Michèle Vanmaele, 2008. "Pricing and Hedging Asian Basket Spread Options," Working Papers ECARES 2008_004, ULB -- Universite Libre de Bruxelles.
    13. Ziming Dong & Dan Tang & Xingchun Wang, 2023. "Pricing vulnerable basket spread options with liquidity risk," Review of Derivatives Research, Springer, vol. 26(1), pages 23-50, April.
    14. Stefano Herzel & Marco Nicolosi, 2019. "Optimal strategies with option compensation under mean reverting returns or volatilities," Computational Management Science, Springer, vol. 16(1), pages 47-69, February.
    15. Guanghua Lian & Robert J. Elliott & Petko Kalev & Zhaojun Yang, 2022. "Approximate pricing of American exchange options with jumps," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 42(6), pages 983-1001, June.
    16. Edoardo Berton & Lorenzo Mercuri, 2024. "An efficient unified approach for spread option pricing in a copula market model," Annals of Operations Research, Springer, vol. 336(1), pages 307-329, May.
    17. Li, Zelei & Wang, Xingchun, 2020. "Valuing spread options with counterparty risk and jump risk," The North American Journal of Economics and Finance, Elsevier, vol. 54(C).
    18. Domenico De Giovanni & Arturo Leccadito & Debora Loccisano, 2024. "Co-movements, option pricing and risk management: an application to WTI versus Brent spread options," Annals of Operations Research, Springer, vol. 336(1), pages 1039-1061, May.
    19. Lahrech, Mohamed Taha & Benabdellah, Majid & Dehhaoui, Mohammed & Benchekroun, Fayçal, 2018. "Evaluation des options financières : revue de littérature et explication intuitive des méthodes de calcul [Evaluation of financial options: literature review and intuitive explanation of the calcul," MPRA Paper 95486, University Library of Munich, Germany.
    20. Green, Rikard, 2015. "No 2015:3 Closed Form Valuation of Three-Asset Spread Options With a view towards Clean Dark Spreads," Knut Wicksell Working Paper Series 2015/3, Lund University, Knut Wicksell Centre for Financial Studies.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:1710.03161. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.