Quantization-based Bermudan option pricing in the $FX$ world

Jean-Michel Fayolle, Vincent Lemaire, Thibaut Montes and Gilles Pag\`es

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Abstract: This paper proposes two numerical solution based on Product Optimal Quantization 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.

Date: 2019-11, Revised 2020-05
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Published in Journal of Computational Finance, Volume 25, Number 2, September 2021

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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:1911.05462

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