IDEAS home Printed from https://ideas.repec.org/a/taf/quantf/v22y2022i4p707-723.html
   My bibliography  Save this article

Cheapest-to-deliver collateral: a common factor approach

Author

Listed:
  • F. L. Wolf
  • L. A. Grzelak
  • G. Deelstra

Abstract

The collateral choice option gives the collateral posting party the opportunity to switch between different collateral currencies which is well-known to impact the asset price. Quantification of the option's value is of practical importance but remains challenging under the assumption of stochastic rates, as it is determined by an intractable distribution that requires involved approximations. Indeed, many practitioners still rely on deterministic spreads between the rates for valuation. We develop a scalable and stable stochastic model of the collateral spreads under the assumption of conditional independence. This allows for a common factor approximation that admits analytical results from which further estimators are obtained. We show that in modelling the spreads between collateral rates, a second-order model yields accurate results for the value of the collateral choice option. The model remains precise for a wide range of model parameters and is numerically efficient even for a large number of collateral currencies.

Suggested Citation

  • F. L. Wolf & L. A. Grzelak & G. Deelstra, 2022. "Cheapest-to-deliver collateral: a common factor approach," Quantitative Finance, Taylor & Francis Journals, vol. 22(4), pages 707-723, April.
    • Handle: RePEc:taf:quantf:v:22:y:2022:i:4:p:707-723
    DOI: 10.1080/14697688.2021.1990375
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/14697688.2021.1990375
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/14697688.2021.1990375?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. J.A. Bikker & Tobias M. Vervliet, 2017. "Bank Profitability and Risk-Taking under Low Interest Rates," Working Papers 17-10, Utrecht School of Economics.
    2. J.A. Bikker & Tobias M. Vervliet, 2017. "Bank Profitability and Risk-Taking under Low Interest Rates," Working Papers 17-10, Utrecht School of Economics.
    3. Charles E. Clark, 1961. "The Greatest of a Finite Set of Random Variables," Operations Research, INFORMS, vol. 9(2), pages 145-162, April.
    4. Grzelak, Lech & Oosterlee, Kees, 2009. "On The Heston Model with Stochastic Interest Rates," MPRA Paper 20620, University Library of Munich, Germany, revised 18 Jan 2010.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Griselda Deelstra & Lech A. Grzelak & Felix L. Wolf, 2022. "Sensitivities and Hedging of the Collateral Choice Option," Papers 2207.10373, arXiv.org, revised Aug 2022.

    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. Maria Elisabete Duarte Neves & Maria Do Castelo Gouveia & Catarina Alexandra Neves Proença, 2020. "European Bank’s Performance and Efficiency," JRFM, MDPI, vol. 13(4), pages 1-17, April.
    2. Lopez, Jose A. & Rose, Andrew K. & Spiegel, Mark M., 2020. "Why have negative nominal interest rates had such a small effect on bank performance? Cross country evidence," European Economic Review, Elsevier, vol. 124(C).
    3. Matěj Kuc & Petr Teplý, 2023. "Are European commercial banks more profitable than cooperative banks? Evidence from a low interest rate environment," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 28(4), pages 4385-4400, October.
    4. Bales, Stephan & Burghartz, Kaspar & Burghof, Hans-Peter & Hitz, Lukas, 2023. "Does the source of uncertainty matter? The impact of financial, newspaper and Twitter-based measures on U.S. banks," Research in International Business and Finance, Elsevier, vol. 65(C).
    5. Argimon, Isabel & Danton, Jayson M. & de Haan, Jakob & Rodriguez-Martin, Javier & Rodriguez-Moreno, Maria, 2023. "Low interest rates and banks’ interest margins: Does belonging to a banking group matter?," Journal of Banking & Finance, Elsevier, vol. 154(C).
    6. Del Gaudio, Belinda L. & Salerno, Dario & Sampagnaro, Gabriele & Verdoliva, Vincenzo, 2022. "Misconduct risk in banking services: Does a propensity to be sanctioned exist?," International Review of Financial Analysis, Elsevier, vol. 81(C).
    7. Anthony Brassil, 2022. "The Consequences of Low Interest Rates for the Australian Banking Sector," RBA Annual Conference Papers acp2022-04, Reserve Bank of Australia, revised Dec 2022.
    8. Melanie Klein, 2020. "Implications of negative interest rates for the net interest margin and lending of euro area banks," BIS Working Papers 848, Bank for International Settlements.
    9. Ayesha Afzal & Nawazish Mirza & Fatima Arshad, 2021. "Market discipline in South Asia: Evidence from commercial banking sector," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 26(2), pages 2251-2262, April.
    10. Ramona Busch & Helge C. N. Littke & Christoph Memmel & Simon Niederauer, 2022. "German banks’ behavior in the low interest rate environment," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 36(3), pages 267-296, September.
    11. Junttila, Juha & Perttunen, Jukka & Raatikainen, Juhani, 2021. "Keep the faith in banking: New evidence for the effects of negative interest rates based on the case of Finnish cooperative banks," International Review of Financial Analysis, Elsevier, vol. 75(C).
    12. Matteo Cotugno & Valeria Stefanelli, 2023. "Management customer complaints and performance: banks, be careful!," Journal of Management & Governance, Springer;Accademia Italiana di Economia Aziendale (AIDEA), vol. 27(1), pages 371-412, March.
    13. Campmas, Alexandra, 2020. "How do European banks portray the effect of policy interest rates and prudential behavior on profitability?," Research in International Business and Finance, Elsevier, vol. 51(C).
    14. Louhichi, Awatef & Boujelbene, Younes, 2020. "Credit risk pricing and the rationality of lending decision-making within dual banking systems: A parametric approach," Economic Systems, Elsevier, vol. 44(1).
    15. Darren Shannon & Grigorios Fountas, 2021. "Extending the Heston Model to Forecast Motor Vehicle Collision Rates," Papers 2104.11461, arXiv.org, revised May 2021.
    16. Lof, Matthijs & van Bommel, Jos, 2023. "Asymmetric information and the distribution of trading volume," Journal of Corporate Finance, Elsevier, vol. 82(C).
    17. Martinetti, Davide & Geniaux, Ghislain, 2017. "Approximate likelihood estimation of spatial probit models," Regional Science and Urban Economics, Elsevier, vol. 64(C), pages 30-45.
    18. Benjamin Cheng & Christina Nikitopoulos-Sklibosios & Erik Schlogl, 2015. "Pricing of Long-dated Commodity Derivatives with Stochastic Volatility and Stochastic Interest Rates," Research Paper Series 366, Quantitative Finance Research Centre, University of Technology, Sydney.
    19. Federica Bomboi & Christoph Buchheim & Jonas Pruente, 2022. "On the stochastic vehicle routing problem with time windows, correlated travel times, and time dependency," 4OR, Springer, vol. 20(2), pages 217-239, June.
    20. Roman Horsky & Tilman Sayer, 2015. "Joining The Heston And A Three-Factor Short Rate Model: A Closed-Form Approach," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 18(08), pages 1-17, December.

    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:taf:quantf:v:22:y:2022:i:4:p:707-723. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/RQUF20 .

    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.