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Cross-currency smile calibration

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Author Info
Gabriel Turinici () (CEREMADE - CEntre de REcherches en MAthématiques de la DEcision - CNRS : UMR7534 - Université Paris Dauphine - Paris IX)
Marc Laillat (Adfin Analytics team - Thsomson Reuters)
Abstract

We document the numerical aspects of the calibration of cross-currency options on the local volatility framework. We consider the partial differential equation satisfied by the price of the cross-currency option and see that the most important specifications to set are the boundary conditions. We explain how these conditions can be approximated and test the validity of the approximation on simple cases.

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File URL: http://hal.archives-ouvertes.fr/docs/00/35/10/16/PDF/cross_smile_gt2.pdf
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Publisher Info
Paper provided by HAL in its series Working Papers with number hal-00351016_v1.

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Date of creation: 08 Jan 2009
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Handle: RePEc:hal:wpaper:hal-00351016_v1

Note: View the original document on HAL open archive server: http://hal.archives-ouvertes.fr/hal-00351016/en/
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Related research
Keywords: cross-currency options; calibration; local volatility; implied volatility; Dupire formula; adjoint; boundary conditions;

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This page was last updated on 2009-12-19.


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