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The Minimum Variance Hedge Ratio Under Stochastic Interest Rates

Author

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  • Abraham Lioui

    (Department of Economics, Bar-Ilan University, 52900 Ramat Gan, Israel)

  • Patrice Poncet

    (University of Paris I---Sorbonne, 17 rue de la Sorbonne, 75005 Paris, France, and ESSEC, Département Finance, Avenue Bernard Hirsch B.P.105, 95021 Cergy-Pontoise Cedex, France)

Abstract

In an environment where interest rates are stochastic, we examine the case of a "pure" hedger endowed with a fixed position in a long term bond. In contrast to conventional wisdom according to which the difference between hedging through forward contracts and futures is immaterial, it turns out that the minimum variance hedge ratio using forwards comprises two terms instead of one only when using futures. The magnitude of the difference between the two hedge ratios may be important under some plausible assumptions. This result is due to the presence of additional interest rate risk that bears on the profit-and-loss statement associated with the forward position. This sheds some additional light on the respective features of forward and futures contracts written on interest rate-sensitive securities.

Suggested Citation

  • Abraham Lioui & Patrice Poncet, 2000. "The Minimum Variance Hedge Ratio Under Stochastic Interest Rates," Management Science, INFORMS, vol. 46(5), pages 658-668, May.
    • Handle: RePEc:inm:ormnsc:v:46:y:2000:i:5:p:658-668
    DOI: 10.1287/mnsc.46.5.658.12045
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    References listed on IDEAS

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    Cited by:

    1. Lioui, Abraham & Poncet, Patrice, 2003. "Dynamic asset pricing with non-redundant forwards," Journal of Economic Dynamics and Control, Elsevier, vol. 27(7), pages 1163-1180, May.
    2. Dirk Becherer & Klebert Kentia, 2017. "Hedging under generalized good-deal bounds and model uncertainty," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 86(1), pages 171-214, August.
    3. PeiLin Hsieh & Robert Jarrow, 2019. "Volatility Uncertainty, Time Decay, and Option Bid-Ask Spreads in an Incomplete Market," Management Science, INFORMS, vol. 65(4), pages 1833-1854, April.
    4. Barletta, Andrea & Santucci de Magistris, Paolo & Sloth, David, 2019. "It only takes a few moments to hedge options," Journal of Economic Dynamics and Control, Elsevier, vol. 100(C), pages 251-269.
    5. Romaniuk, Katarzyna, 2021. "Pension insurance schemes and moral hazard: The Pension Benefit Guaranty Corporation should restrict the insured pension plans’ portfolio policy," The Quarterly Review of Economics and Finance, Elsevier, vol. 82(C), pages 37-43.
    6. Lioui, Abraham & Poncet, Patrice, 2002. "Optimal currency risk hedging," Journal of International Money and Finance, Elsevier, vol. 21(2), pages 241-264, April.
    7. Dirk Becherer & Klebert Kentia, 2016. "Hedging under generalized good-deal bounds and model uncertainty," Papers 1607.04488, arXiv.org, revised Apr 2017.

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