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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.
    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.
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