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| An Asymptotic FX Option Formula in the Cross Currency Libor Market Model: Wilmott Magazine Article |
| Atsushi Kawai & Peter Jäckel |
286 Views |
In this article, we introduce analytic approximation formulae for FX options in the Libor market model (LMM). The method to derive the formulae is an asymptotic expansion
technique introduced in Kawai [Kaw03].
We first apply the method to the lognormal LMM and lognormal FX model. Then, the method is applied to the displaced diffusion LMM and the displaced diffusion FX model. Some numerical examples show that the derived formulae are sufficiently accurate for practical applications.
[First published in issue 28 of Wilmott - March 2007] |
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| Validation of Rating Models |
| Bernd Appasamy, Stefan Hengstmann, Georg Stapper, Egbert Schark |
2241 Views |
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In the course of the upcoming new capital accord, Basel II, the different methodologies for the construction of internal rating models were in the center of interest within the last few years. Special attention was often put to the optimization of the discriminatory power and on statistical stability, frequently only obtainable by joining several portfolios. However, in practice it turned out that the discriminatory power itself is not a suitable measure for the quality of a rating system. Recently it became evident, that attention must be paid to the comprehensive validation of the systems just besides mature rating methodologies (Bundesbank 2003).
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