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Implications of Asymmetry Risk for Portfolio Analysis and Asset Pricing

Author

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  • Fousseni Chabi-Yo
  • Dietmar Leisen
  • Eric Renault

Abstract

Asymmetric shocks are common in markets; securities' payoffs are not normally distributed and exhibit skewness. This paper studies the portfolio holdings of heterogeneous agents with preferences over mean, variance and skewness, and derives equilibrium prices. A three funds separation theorem holds, adding a skewness portfolio to the market portfolio; the pricing kernel depends linearly only on the market return and its squared value. Our analysis extends Harvey and Siddique's (2000) conditional mean-variance-skewness asset pricing model to non-vanishing risk-neutral market variance. The empirical relevance of this extension is documented in the context of the asymmetric GARCH-in-mean model of Bekaert and Liu (2004).

Suggested Citation

  • Fousseni Chabi-Yo & Dietmar Leisen & Eric Renault, 2007. "Implications of Asymmetry Risk for Portfolio Analysis and Asset Pricing," Staff Working Papers 07-47, Bank of Canada.
    • Handle: RePEc:bca:bocawp:07-47
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    Citations

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    Cited by:

    1. Enrique Sentana, 2009. "The econometrics of mean-variance efficiency tests: a survey," Econometrics Journal, Royal Economic Society, vol. 12(3), pages 65-101, November.
    2. Igor Halperin, 2020. "Non-Equilibrium Skewness, Market Crises, and Option Pricing: Non-Linear Langevin Model of Markets with Supersymmetry," Papers 2011.01417, arXiv.org, revised Dec 2021.
    3. Raphael Espinoza & Dimitrios P. Tsomocos, 2019. "Monetary transaction costs and the term premium," Chapters, in: Financial Regulation and Stability, chapter 8, pages 224-244, Edward Elgar Publishing.
    4. Marianne Andries, 2012. "Consumption-based Asset Pricing Loss Aversion," 2012 Meeting Papers 571, Society for Economic Dynamics.
    5. Halperin, Igor, 2022. "Non-equilibrium skewness, market crises, and option pricing: Non-linear Langevin model of markets with supersymmetry," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 594(C).

    More about this item

    Keywords

    Financial markets; Market structure and pricing;

    JEL classification:

    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • D58 - Microeconomics - - General Equilibrium and Disequilibrium - - - Computable and Other Applied General Equilibrium Models
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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