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Model Reduction Methods In Option Pricing


  • Antonio Falcó

    () (Universidad CEU Cardenal Herrera)

  • Francisco Chinesta


  • Mariano González

    () (Universidad CEU San Pablo)


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.

Suggested Citation

  • Antonio Falcó & Francisco Chinesta & Mariano González, 2006. "Model Reduction Methods In Option Pricing," Working Papers. Serie AD 2006-16, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  • Handle: RePEc:ivi:wpasad:2006-16

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    References listed on IDEAS

    1. Lilia Maliar & Serguei Maliar, 2003. "The Representative Consumer in the Neoclassical Growth Model with Idiosyncratic Shocks," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(2), pages 368-380, April.
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    4. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-1370, November.
    5. Maliar, Lilia & Maliar, Serguei, 2003. "Parameterized Expectations Algorithm and the Moving Bounds," Journal of Business & Economic Statistics, American Statistical Association, vol. 21(1), pages 88-92, January.
    6. Daron Acemoglu, 2003. "Labor- And Capital-Augmenting Technical Change," Journal of the European Economic Association, MIT Press, vol. 1(1), pages 1-37, March.
    7. Greenwood, Jeremy & Hercowitz, Zvi & Krusell, Per, 1997. "Long-Run Implications of Investment-Specific Technological Change," American Economic Review, American Economic Association, vol. 87(3), pages 342-362, June.
    8. Matthew J. Lindquist, 2005. "Capital-Skill Complementarity and Inequality in Sweden," Scandinavian Journal of Economics, Wiley Blackwell, vol. 107(4), pages 711-735, December.
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    More about this item


    Model Reduction; Proper Orthogonal Decomposition; Finite Difference Schemes; Crank–Nicolson Scheme.;

    JEL classification:

    • G34 - Financial Economics - - Corporate Finance and Governance - - - Mergers; Acquisitions; Restructuring; Corporate Governance
    • M14 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Administration - - - Corporate Culture; Diversity; Social Responsibility
    • M42 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Accounting - - - Auditing

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