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Robust recovery of the risk neutral probability density from option prices

Author

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  • Gabriel Turinici

    (Université Paris Dauphine, Paris, France)

Abstract

We present in this paper a robust numerical procedure that allows extracting the risk neutral probability density data from a set of quoted European option prices. The procedure does not use any specific evolution model for the underlying; the probability density is the solution of a fitting problem to which we add a penalty term to ensure smoothness of the result. We give some examples from FOREX markets.

Suggested Citation

  • Gabriel Turinici, 2009. "Robust recovery of the risk neutral probability density from option prices," Analele Stiintifice ale Universitatii "Alexandru Ioan Cuza" din Iasi - Stiinte Economice (1954-2015), Alexandru Ioan Cuza University, Faculty of Economics and Business Administration, vol. 56, pages 197-201, November.
  • Handle: RePEc:aic:journl:y:2009:v:56:p:197-201
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    References listed on IDEAS

    as
    1. Gabriel TURINICI, 2008. "Local Volatility Calibration Using An Adjoint Proxy," Review of Economic and Business Studies, Alexandru Ioan Cuza University, Faculty of Economics and Business Administration, issue 2, pages 93-105, November.
    2. Gabriel Turinici, 2009. "Calibration of local volatility using the local and implied instantaneous variance," Post-Print hal-00338114, HAL.
    3. Gabriel Turinici, 2008. "Local volatility calibration using an adjoint proxy," Post-Print hal-00306187, HAL.
    Full references (including those not matched with items on IDEAS)

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