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Model reduction methods in option pricing

  • Autores: Antonio Falcó Montesinos Árbol académico, Mariano González, Francisco Chinesta Árbol académico
  • Localización: Working papers = Documentos de trabajo: Serie AD, Nº. 16, 2006
  • Idioma: inglés
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  • Resumen
    • In this work we introduce the Proper Orthogonal Decomposition (POD)approach to the valuation of contingent claims for one?dimensional price models.First, we present the POD in the context of an abstract Hilbert space and we givean application for the numerical pricing of Double Barrier Options. In a finitedimension setting, we show the model reduction method for Finite Differenceschemes of implicit type. In particular, we construct the reduced version of theCrank?Nicolson scheme and some numerical examples are given


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