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

Author

Listed:
  • Alexandre Adam

    (BNP-Paribas Personal Finance)

  • Hamza Cherrat

    (CY - CY Cergy Paris Université)

  • Mohamed Houkari

    (Lycée Henri-IV)

  • Jean-Paul Laurent

    (PRISM Sorbonne - Pôle de recherche interdisciplinaire en sciences du management - UP1 - Université Paris 1 Panthéon-Sorbonne, Labex ReFi - UP1 - Université Paris 1 Panthéon-Sorbonne)

  • Jean-Luc Prigent

    (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.)
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Alexandre Adam & Hamza Cherrat & Mohamed Houkari & Jean-Paul Laurent & Jean-Luc Prigent, 2020. "On the risk management of demand deposits: quadratic hedging of interest rate margins," Post-Print hal-03676446, HAL.
    • Handle: RePEc:hal:journl:hal-03676446
    DOI: 10.1007/s10479-020-03726-1
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    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.
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