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Pré-Publication, Document De Travail Année : 2020

Quantization-based Bermudan option pricing in the FX world

Résumé

This paper proposes two numerical solution based on Product Optimal Quan-tization for the pricing of Foreign Echange (FX) linked long term Bermudan options e.g. Bermudan Power Reverse Dual Currency options, where we take into account stochastic domestic and foreign interest rates on top of stochastic FX rate, hence we consider a 3-factor model. For these two numerical methods, we give an estimation of the $L^2$-error induced by such approximations and we illustrate them with market-based examples that highlight the speed of such methods.
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Dates et versions

hal-02361667 , version 1 (13-11-2019)
hal-02361667 , version 2 (01-05-2020)

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Jean-Michel Fayolle, Vincent Lemaire, Thibaut Montes, Gilles Pagès. Quantization-based Bermudan option pricing in the FX world. 2020. ⟨hal-02361667v2⟩
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