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Pricing and Inference with Mixtures of Conditionally Normal Processes

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  • Henri Bertholon

    (Crest)

  • Alain Monfort

    (Crest)

  • Fulvio Pegoraro

    (Crest)

Abstract

We consider the problems of derivative pricing and inference when the stochastic discount factor has an exponentialaffineform and the geometric return of the underlying asset has a dynamics characterized by a mixture of conditionallyNormal processes. We consider both the static case in which the underlying process is a white noise distributed as amixture of Gaussian distributions (including extreme risks and jump diffusions) and the dynamic case in which theunderlying process is conditionally distributed as a mixture of Gaussian laws. Semi-parametric, non parametric andSwitching Regime situations are also considered. In all cases, the risk-neutral processes and explicit pricing formulasare obtained.

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Paper provided by Centre de Recherche en Economie et Statistique in its series Working Papers with number 2006-28.

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Length: 53
Date of creation: 2006
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Handle: RePEc:crs:wpaper:2006-28

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Cited by:
  1. Bertholon, H. & Monfort, A. & Pegoraro, F., 2008. "Econometric Asset Pricing Modelling," Working papers 223, Banque de France.
  2. ROMBOUTS, Jeroen V. K. & STENTOFT, Lars, 2010. "Option pricing with asymmetric heteroskedastic normal mixture models," CORE Discussion Papers 2010049, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. Monfort, A. & Pegoraro, F., 2012. "Asset Pricing with Second-Order Esscher Transforms," Working papers 397, Banque de France.
  4. Jeroen V.K. Rombouts & Lars Stentoft, 2010. "Multivariate Option Pricing with Time Varying Volatility and Correlations," Cahiers de recherche 1020, CIRPEE.
  5. Christophe Chorro & Dominique Guegan & Florian Ielpo, 2008. "Option Pricing under GARCH models with Generalized Hyperbolic distribution (II) : Data and Results," Post-Print hal-00308687, HAL.
  6. Chevallier, Julien & Ielpo, Florian & Sévi, Benoît, 2011. "Do jumps help in forecasting the density of returns?," Economics Papers from University Paris Dauphine 123456789/6805, Paris Dauphine University.
  7. Ángel León & Javier Mencía & Enrique Sentana, 2005. "Parametric Properties Of Semi-Nonparametric Distributions, With Applications To Option Valuation," Working Papers wp2005_0509, CEMFI.
  8. Yin-Wong Cheung & Sang-Kuck Chung, 2011. "A Long Memory Model with Normal Mixture GARCH," Computational Economics, Society for Computational Economics, vol. 38(4), pages 517-539, November.
  9. Haas, Markus & Mittnik, Stefan & Paolella, Marc S., 2008. "Asymmetric multivariate normal mixture GARCH," CFS Working Paper Series 2008/07, Center for Financial Studies (CFS).

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