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Libor Market Model and Gaussian HJM explicit approaches to option on composition

Marc Henrard ()

Finance from University Library of Munich, Germany

Abstract: The twin brothers Libor Market and Gaussian HJM models are investigated. A simple exotic option, floor on composition, is studied. The same explicit approach is used for both models. Using an approximation the LLM price is obtained without Monte Carlo simulation. The results of the approximation are very good, with an error well below the uncertainty due to the simulation. The appendices proves the existence of the (modified) normal and shifted log-normal LLM used in the pricing. The link of the latter with the Ho and Lee continuous time model is described.

Keywords: explicit formula; Libor market model; HJM model; shifted log-normal model; normal model; existence; option on composition (search for similar items in EconPapers)
JEL-codes: G13 E43 C63 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-fin and nep-mac
Date: 2005-11-29, Revised 2005-12-07
Note: Type of Document - pdf; pages: 11. Draft version, comments welcome
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