IDEAS home Printed from https://ideas.repec.org/p/hal/journl/hal-03679403.html
   My bibliography  Save this paper

On the risk management of demand deposits: quadratic hedging of interest rate margins

Author

Listed:
  • Alexandre Adam

    (IPCMS - Institut de Physique et Chimie des Matériaux de Strasbourg - UNISTRA - Université de Strasbourg - CNRS - Centre National de la Recherche Scientifique - MNGE - Matériaux et Nanosciences Grand-Est - UNISTRA - Université de Strasbourg - Université de Haute-Alsace (UHA) - Université de Haute-Alsace (UHA) Mulhouse - Colmar - INSERM - Institut National de la Santé et de la Recherche Médicale - INC-CNRS - Institut de Chimie - CNRS Chimie - CNRS - Centre National de la Recherche Scientifique - Réseau nanophotonique et optique - UNISTRA - Université de Strasbourg - Université de Haute-Alsace (UHA) - Université de Haute-Alsace (UHA) Mulhouse - Colmar - CNRS - Centre National de la Recherche Scientifique)

  • Hamza Cherrat

    (CY - CY Cergy Paris Université)

  • Mohamed Houkari

    (Financial models, Group ALM - BNP Paribas, SAF - Laboratoire de Sciences Actuarielle et Financière - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon)

  • Jean-Paul Laurent

    (MCC - Ministère de la Culture et de la Communication, ENSAM - Ecole Nationale Supérieure d'Architecture de Montpellier)

  • Jean-Luc Prigent

    (THEMA - Théorie économique, modélisation et applications - CNRS - Centre National de la Recherche Scientifique - CY - CY Cergy Paris Université)

Abstract

This paper examines the problem of hedging banks interest rate margins. We assume that the demand’s deposits follow an exponential Lévy process with potential jumps. The forward market rates are assumed to follow the standard market model introduced by Brace et al. (Math Finance 7(2):127–155, 1997). As Adam et al. (Hedging interest rate margins on demand deposits, Université Paris 1 Panthéon-Sorbonne working paper, 2012), we consider that deposit rates depend linearly on market rates. Face to incompleteness, the liability manager must hedge both interest rate and demand deposit risks. For this purpose, we introduce various quadratic hedging criteria, allowing us to provide explicit hedging strategies that we further analyze. We illustrate in particular the impact of both the trends and the volatilities of interest rates and demand deposits.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Alexandre Adam & Hamza Cherrat & Mohamed Houkari & Jean-Paul Laurent & Jean-Luc Prigent, 2022. "On the risk management of demand deposits: quadratic hedging of interest rate margins," Post-Print hal-03679403, HAL.
    • Handle: RePEc:hal:journl:hal-03679403
    DOI: 10.1007/s10479-020-03726-1
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. J.L. Prigent & O. Scaillet, 2000. "Weak Convergence of Hedging Strategies of Contingent Claims," THEMA Working Papers 2000-50, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    2. Kreps, David M., 1981. "Arbitrage and equilibrium in economies with infinitely many commodities," Journal of Mathematical Economics, Elsevier, vol. 8(1), pages 15-35, March.
    3. Unai Aldasoro & María Merino & Gloria Pérez, 2019. "Time consistent expected mean-variance in multistage stochastic quadratic optimization: a model and a matheuristic," Annals of Operations Research, Springer, vol. 280(1), pages 151-187, September.
    4. Jean-Luc Prigent, 1999. "Incomplete markets: convergence of options values under the minimal martingale measure," Post-Print hal-03679524, HAL.
    5. Saunders, Anthony & Schumacher, Liliana, 2000. "The determinants of bank interest rate margins: an international study," Journal of International Money and Finance, Elsevier, vol. 19(6), pages 813-832, December.
    6. Miltersen, Kristian R & Sandmann, Klaus & Sondermann, Dieter, 1997. "Closed Form Solutions for Term Structure Derivatives with Log-Normal Interest Rates," Journal of Finance, American Finance Association, vol. 52(1), pages 409-430, March.
    7. Hutchison, David E, 1995. "Retail Bank Deposit Pricing: An Intertemporal Asset Pricing Approach," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 27(1), pages 217-231, February.
    8. Frauendorfer, Karl & Schurle, Michael, 2003. "Management of non-maturing deposits by multistage stochastic programming," European Journal of Operational Research, Elsevier, vol. 151(3), pages 602-616, December.
    9. Ho, Thomas S. Y. & Saunders, Anthony, 1981. "The Determinants of Bank Interest Margins: Theory and Empirical Evidence," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 16(4), pages 581-600, November.
    10. Schweizer, Martin, 1991. "Option hedging for semimartingales," Stochastic Processes and their Applications, Elsevier, vol. 37(2), pages 339-363, April.
    11. William B English, 2002. "Interest rate risk and bank net interest margins," BIS Quarterly Review, Bank for International Settlements, December.
    12. Donatien Hainaut, 2009. "Dynamic asset allocation under VaR constraint with stochastic interest rates," Annals of Operations Research, Springer, vol. 172(1), pages 97-117, November.
    13. Alan Brace & Dariusz G¸atarek & Marek Musiela, 1997. "The Market Model of Interest Rate Dynamics," Mathematical Finance, Wiley Blackwell, vol. 7(2), pages 127-155, April.
    14. Kalkbrener, Michael & Willing, Jan, 2004. "Risk management of non-maturing liabilities," Journal of Banking & Finance, Elsevier, vol. 28(7), pages 1547-1568, July.
    15. Hutchison, David E. & Pennacchi, George G., 1996. "Measuring Rents and Interest Rate Risk in Imperfect Financial Markets: The Case of Retail Bank Deposits," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 31(3), pages 399-417, September.
    16. Jarrow, Robert A. & van Deventer, Donald R., 1998. "The arbitrage-free valuation and hedging of demand deposits and credit card loans," Journal of Banking & Finance, Elsevier, vol. 22(3), pages 249-272, March.
    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. Hamza Cherrat & Jean-Luc Prigent, 2023. "On the Hedging of Interest Rate Margins on Bank Demand Deposits," Computational Economics, Springer;Society for Computational Economics, vol. 62(3), pages 935-967, October.
    2. Hans Dewachter & Marco Lyrio & Konstantijn Maes, 2006. "A multi-factor model for the valuation and risk managment of demand deposits," Working Paper Research 83, National Bank of Belgium.
    3. Bjork, Tomas, 2009. "Arbitrage Theory in Continuous Time," OUP Catalogue, Oxford University Press, edition 3, number 9780199574742.
    4. Jaakko Sääskilahti, 2018. "Retail Bank Interest Margins in Low Interest Rate Environments," Journal of Financial Services Research, Springer;Western Finance Association, vol. 53(1), pages 37-68, February.
    5. Konstantijn Maes & Thierry Timmermans, 2005. "Measuring the interest rate risk of Belgian regulated savings deposits," Financial Stability Review, National Bank of Belgium, vol. 3(1), pages 137-151, June.
    6. Nyström, Kaj, 2008. "On deposit volumes and the valuation of non-maturing liabilities," Journal of Economic Dynamics and Control, Elsevier, vol. 32(3), pages 709-756, March.
    7. Oliver Entrop & Marco Wilkens & Alexander Zeisler, 2009. "Quantifying the Interest Rate Risk of Banks: Assumptions Do Matter," European Financial Management, European Financial Management Association, vol. 15(5), pages 1001-1018, November.
    8. Nguena Christian Lambert & Tsafack Nanfosso Roger, 2014. "On the Sensitivity of Banking Activity Shocks: Evidence from the CEMAC Sub-region," Economics Bulletin, AccessEcon, vol. 34(1), pages 354-372.
    9. repec:zbw:bofrdp:2009_027 is not listed on IDEAS
    10. Gibson, Rajna & Lhabitant, Francois-Serge & Talay, Denis, 2010. "Modeling the Term Structure of Interest Rates: A Review of the Literature," Foundations and Trends(R) in Finance, now publishers, vol. 5(1–2), pages 1-156, December.
    11. Molyneux, Philip & Reghezza, Alessio & Xie, Ru, 2019. "Bank margins and profits in a world of negative rates," Journal of Banking & Finance, Elsevier, vol. 107(C), pages 1-1.
    12. Christian-Lambert Lambert Nguena & Roger Tsafack-Nanfosso, 2014. "On the Sensitivity of Banking Activity to Macroeconomic Shocks: Evidence from CEMAC Sub-region [Sensibilité du Secteur Bancaire aux Chocs Macroéconomiques: Cas de la sous-région CEMAC]," Post-Print halshs-01097850, HAL.
    13. J.A. Bikker & D.F. Gerritsen & Steffie M. Schwillens, 2016. "Competing for savings: how important is creditworthiness during the crisis?," Working Papers 16-01, Utrecht School of Economics.
    14. Schmidhammer, Christoph & Hille, Vanessa & Wiedemann, Arnd, 2020. "Performance of maturity transformation strategies," Discussion Papers 58/2020, Deutsche Bundesbank.
    15. Jugnu Ansari & Ashima Goyal, 2014. "Bank Competition, Managerial Efficiency and the Interest Rate Pass-Through in India," Contemporary Studies in Economic and Financial Analysis, in: Risk Management Post Financial Crisis: A Period of Monetary Easing, volume 96, pages 317-339, Emerald Group Publishing Limited.
    16. Florentina Paraschiv, 2013. "Adjustment Policy of Deposit Rates in the Case of Swiss Non-maturing Savings Accounts," Journal of Applied Finance & Banking, SCIENPRESS Ltd, vol. 3(3), pages 1-19.
    17. Blöchlinger, Andreas, 2015. "Identifying, valuing and hedging of embedded options in non-maturity deposits," Journal of Banking & Finance, Elsevier, vol. 50(C), pages 34-51.
    18. Vajanne, Laura, 2009. "Inferring market power from retail deposit interest rates in the euro area," Research Discussion Papers 27/2009, Bank of Finland.
    19. J.A. Bikker & D.F. Gerritsen & Steffie M. Schwillens, 2016. "Competing for savings: how important is creditworthiness during the crisis?," Working Papers 16-01, Utrecht School of Economics.
    20. Itamar Drechsler & Alexi Savov & Philipp Schnabl, 2021. "Banking on Deposits: Maturity Transformation without Interest Rate Risk," Journal of Finance, American Finance Association, vol. 76(3), pages 1091-1143, June.
    21. Konstantijn Maes, 2004. "Interest Rate Risk in the Belgian Banking Sector," Financial Stability Review, National Bank of Belgium, vol. 2(1), pages 157-179, June.

    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:hal:journl:hal-03679403. 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.