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Model Reduction Methods In Option Pricing

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Author Info
Antonio Falcó () (Universidad CEU Cardenal Herrera)
Francisco Chinesta () (CNRS-ENSAM-ESEM)
Mariano González () (Universidad CEU San Pablo)

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Abstract

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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File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-2006-16.pdf
File Format: application/pdf
File Function: Fisrt version / Primera version, 2006
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Publisher Info
Paper provided by Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) in its series Working Papers. Serie AD with number 2006-16.

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Length: 27 pages
Date of creation: Jul 2006
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Publication status: Published by Ivie
Handle: RePEc:ivi:wpasad:2006-16

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Related research
Keywords: Model Reduction; Proper Orthogonal Decomposition; Finite Difference Schemes; Crank–Nicolson Scheme.;

Find related papers by JEL classification:
G34 - Financial Economics - - Corporate Finance and Governance - - - Mergers; Acquisitions; Restructuring; Corporate Governance
M14 - Business Administration and Business Economics; Marketing; Accounting - - Business Administration - - - Corporate Culture; Social Responsibility
M42 - Business Administration and Business Economics; Marketing; Accounting - - Accounting - - - Auditing

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This page was last updated on 2009-12-11.


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