Les modèles HJM et LMM revisités
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.
|Date of creation:||03 Jan 2006|
|Date of revision:|
|Contact details of provider:|| Postal: |
Phone: (819) 595-3900
Fax: (819) 773-1747
Web page: http://www.repad.org/
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
- 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.
When requesting a correction, please mention this item's handle: RePEc:pqs:wpaper:042006. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Christian Calmes)
If references are entirely missing, you can add them using this form.