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Les modèles HJM et LMM revisités

Author

Listed:
  • Francois-Éric Racicot

    (Département des sciences administratives, Université du Québec (Outaouais) et LRSP)

  • Raymond Théoret

    (Département de stratégie des affaires, Université du Québec (Montréal))

Abstract

In this paper, we study the following models : Heath-Jarrow-Morton (1992) and Libor-Market- Model, also known as Brace-Gatarek-Musiela model (1997). We survey the extensions of these models and their representation in the Black and Scholes world. Our approach is pedagogical and is based on an exhaustive elaboration of the developments of these models. Finally, we discuss the evolution of these models towards the pricing of more complex structured derivatives, like TARN and we also briefly analyse more advanced versions like the SV Cheyette model.

Suggested Citation

  • Francois-Éric Racicot & Raymond Théoret, 2006. "Les modèles HJM et LMM revisités," RePAd Working Paper Series UQO-DSA-wp042006, Département des sciences administratives, UQO.
    • Handle: RePEc:pqs:wpaper:042006
    as

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    File URL: http://www.repad.org/ca/qc/uq/uqo/dsa/CahierderechercheracicotHJM1.pdf
    File Function: First version, 2006
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    References listed on IDEAS

    as
    1. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
    2. Ho, Thomas S Y & Lee, Sang-bin, 1986. "Term Structure Movements and Pricing Interest Rate Contingent Claims," Journal of Finance, American Finance Association, vol. 41(5), pages 1011-1029, December.
    3. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    4. Hull, John & White, Alan, 1993. "One-Factor Interest-Rate Models and the Valuation of Interest-Rate Derivative Securities," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 28(2), pages 235-254, June.
    5. Shang-Wu Yu, 1997. "Terms Structure of Interest Rates and Implicit Options: The Case of Japanese Bond Futures," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 24(5), pages 593-614.
    6. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 627-627, November.
    7. Shang‐Wu Yu, 1997. "Terms Structure of Interest Rates and Implicit Options: The Case of Japanese Bond Futures," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 24(5), pages 593-614, June.
    8. David Heath & Robert Jarrow & Andrew Morton, 2008. "Bond Pricing And The Term Structure Of Interest Rates: A New Methodology For Contingent Claims Valuation," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 13, pages 277-305, World Scientific Publishing Co. Pte. Ltd..
    9. A. Bellier-Delienne, 2005. "Synthèse sur les Options de Livraison dans les Contrats à Terme," THEMA Working Papers 2005-09, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    10. 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.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    derivatives; financial engineering; asset valuation; computational finance.;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G33 - Financial Economics - - Corporate Finance and Governance - - - Bankruptcy; Liquidation

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