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Skewness Premium with Lévy Processes

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  • José Fajardo

    (IBMEC Business School, Rio de Janeiro - Brazil)

  • Ernesto Mordecki

    (Centro de Matemática, Facultad de Ciencias, Universidad de la República, Montevideo. Uruguay)

Abstract

We study the skewness premium (SK) introduced by Bates (1991) in a general context using Lévy Processes. Under a symmetry condition Fajardo and Mordecki (2006) have obtained that SK is given by the Bate's x% rule. In this paper, we study SK under the absence of that symmetry condition. More exactly, we derive sufficient conditions for the excess of SK to be positive or negative, in terms of the characteristic triplet of the Lévy Process under the risk neutral measure.

Suggested Citation

  • José Fajardo & Ernesto Mordecki, 2009. "Skewness Premium with Lévy Processes," CREATES Research Papers 2009-10, Department of Economics and Business Economics, Aarhus University.
    • Handle: RePEc:aah:create:2009-10
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    References listed on IDEAS

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    1. JosE Fajardo & Ernesto Mordecki, 2006. "Symmetry and duality in Levy markets," Quantitative Finance, Taylor & Francis Journals, vol. 6(3), pages 219-227.
    2. Fajardo, José & Farias, Aquiles, 2004. "Generalized Hyperbolic Distributions and Brazilian Data," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 24(2), November.
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    4. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 8, pages 229-288, World Scientific Publishing Co. Pte. Ltd..
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    7. Erik Ekström & Johan Tysk, 2007. "Properties Of Option Prices In Models With Jumps," Mathematical Finance, Wiley Blackwell, vol. 17(3), pages 381-397, July.
    8. José Fajardo & Ernesto Mordecki, 2005. "Duality and Derivative Pricing with Time-Changed Lévy Processes," IBMEC RJ Economics Discussion Papers 2005-12, Economics Research Group, IBMEC Business School - Rio de Janeiro.
    9. Erik Ekstrom & Johan Tysk, 2005. "Properties of option prices in models with jumps," Papers math/0509232, arXiv.org, revised Nov 2005.
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    Citations

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    Cited by:

    1. Ernst Eberlein & Antonis Papapantoleon & Albert Shiryaev, 2008. "On the duality principle in option pricing: semimartingale setting," Finance and Stochastics, Springer, vol. 12(2), pages 265-292, April.
    2. Fajardo, José & Farias, Aquiles, 2010. "Derivative pricing using multivariate affine generalized hyperbolic distributions," Journal of Banking & Finance, Elsevier, vol. 34(7), pages 1607-1617, July.
    3. Fajardo, José & Mordecki, Ernesto, 2008. "Duality and Symmetry with Time-Changed Lévy Processes," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 28(1), May.
    4. Fajardo, José, 2016. "Power Style Contracts Under Asymmetric Lévy Processes," MPRA Paper 71813, University Library of Munich, Germany.

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    More about this item

    Keywords

    Skewnes Premium; Lévy Processes;

    JEL classification:

    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)

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