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Les modèles HJM et LMM revisités

  • Francois-Éric Racicot

    ()

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

  • Raymond Théoret

    ()

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

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.

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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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Paper provided by Département des sciences administratives, UQO in its series RePAd Working Paper Series with number UQO-DSA-wp042006.

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Length: 39 pages
Date of creation: 03 Jan 2006
Date of revision:
Handle: RePEc:pqs:wpaper:042006
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  1. 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.
  2. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(04), pages 627-627, November.
  3. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
  4. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "A Theory of the Term Structure of Interest Rates," Econometrica, Econometric Society, vol. 53(2), pages 385-407, March.
  5. 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(02), pages 235-254, June.
  6. 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.
  7. 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.
  8. Heath, David & Jarrow, Robert & Morton, Andrew, 1992. "Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation," Econometrica, Econometric Society, vol. 60(1), pages 77-105, January.
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