IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1807.10924.html
   My bibliography  Save this paper

Corrected XVA Modelling Framework and Formulae for KVA and MVA

Author

Listed:
  • Antti Vauhkonen

Abstract

We discuss and clarify the XVA modelling framework specified in the paper "MVA by replication and regression" (Risk Magazine, May 2015) for including bilateral credit risk and funding costs in derivative pricing, and in doing so we rectify two key errors in the valuation adjustments accounting for costs of capital and initial margin, and present corrected formulae for KVA and MVA.

Suggested Citation

  • Antti Vauhkonen, 2018. "Corrected XVA Modelling Framework and Formulae for KVA and MVA," Papers 1807.10924, arXiv.org.
  • Handle: RePEc:arx:papers:1807.10924
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1807.10924
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Andrew Green & Chris Kenyon, 2014. "KVA: Capital Valuation Adjustment," Papers 1405.0515, arXiv.org, revised Oct 2014.
    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. Matteo Bissiri & Riccardo Cogo, 2017. "Behavioral Value Adjustments," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 20(08), pages 1-37, December.
    2. Chris Kenyon & Andrew Green & Mourad Berrahoui, 2015. "Which measure for PFE? The Risk Appetite Measure, A," Papers 1512.06247, arXiv.org.
    3. Lokman A. Abbas-Turki & Stéphane Crépey & Babacar Diallo, 2018. "Xva Principles, Nested Monte Carlo Strategies, And Gpu Optimizations," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 21(06), pages 1-40, September.
    4. Simonella, Roberta & Vázquez, Carlos, 2023. "XVA in a multi-currency setting with stochastic foreign exchange rates," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 207(C), pages 59-79.
    5. Andrew Lesniewski & Anja Richter, 2016. "Managing counterparty credit risk via BSDEs," Papers 1608.03237, arXiv.org, revised Aug 2016.
    6. Wujiang Lou, 2016. "Gap Risk KVA and Repo Pricing: An Economic Capital Approach in the Black-Scholes-Merton Framework," Papers 1604.05406, arXiv.org, revised Oct 2016.
    7. Chris Kenyon & Hayato Iida, 2018. "Behavioural effects on XVA," Papers 1803.03477, arXiv.org.
    8. Lorenzo Silotto & Marco Scaringi & Marco Bianchetti, 2021. "Everything You Always Wanted to Know About XVA Model Risk but Were Afraid to Ask," Papers 2107.10377, arXiv.org.
    9. Andersson, Kristoffer & Oosterlee, Cornelis W., 2021. "A deep learning approach for computations of exposure profiles for high-dimensional Bermudan options," Applied Mathematics and Computation, Elsevier, vol. 408(C).
    10. Stéphane Crépey & Wissal Sabbagh & Shiqi Song, 2020. "When Capital Is a Funding Source: The Anticipated Backward Stochastic Differential Equations of X-Value Adjustments," Post-Print hal-03910119, HAL.
    11. Chris Kenyon & Andrew Green, 2014. "VAR and ES/CVAR Dependence on data cleaning and Data Models: Analysis and Resolution," Papers 1405.7611, arXiv.org.
    12. Andrew Green & Chris Kenyon, 2016. "XVA at the Exercise Boundary," Papers 1610.00256, arXiv.org.
    13. Cornelis S. L. de Graaf & Drona Kandhai & Christoph Reisinger, 2016. "Efficient exposure computation by risk factor decomposition," Papers 1608.01197, arXiv.org, revised Feb 2018.
    14. Salvador, Beatriz & Oosterlee, Cornelis W., 2021. "Corrigendum to ``Total value adjustment for a stochastic volatility model. A comparison with the Black–Scholes model''," Applied Mathematics and Computation, Elsevier, vol. 406(C).
    15. Stéphane Crépey, 2022. "Positive XVAs," Post-Print hal-03910135, HAL.
    16. Claudio Albanese & Simone Caenazzo & Stéphane Crépey, 2016. "Capital Valuation Adjustment and Funding Valuation Adjustment," Working Papers hal-01285363, HAL.
    17. Salvador, Beatriz & Oosterlee, Cornelis W., 2021. "Total value adjustment for a stochastic volatility model. A comparison with the Black–Scholes model," Applied Mathematics and Computation, Elsevier, vol. 391(C).
    18. 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.
    19. Chris Kenyon & Andrew Green, 2015. "Dirac Processes and Default Risk," Papers 1504.04581, arXiv.org.
    20. Andrew Green & Chris Kenyon, 2014. "MVA: Initial Margin Valuation Adjustment by Replication and Regression," Papers 1405.0508, arXiv.org, revised Jan 2015.

    More about this item

    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:1807.10924. 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.