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Introducing higher moments in the CAPM: some basic ideas

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  • Athayde, Gustavo M. de
  • Flôres Junior, Renato Galvão

Abstract

We show how to include in the CAPM moments of any order, extending the mean-variance or mean-variance-skewness versions available until now. Then, we present a simple way to modify the formulae, in order to avoid the appearance of utility parameters. The results can be easily applied to practical portfolio design, with econometric inference and testing based on generalised method of moments procedures. An empirical application to the Brazilian stock market is discussed.

Suggested Citation

  • Athayde, Gustavo M. de & Flôres Junior, Renato Galvão, 1999. "Introducing higher moments in the CAPM: some basic ideas," FGV/EPGE Economics Working Papers (Ensaios Economicos da EPGE) 362, FGV/EPGE - Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  • Handle: RePEc:fgv:epgewp:362
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    References listed on IDEAS

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    1. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
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    6. Singleton, J. Clay & Wingender, John, 1986. "Skewness Persistence in Common Stock Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 21(03), pages 335-341, September.
    7. Paul A. Samuelson, 1970. "The Fundamental Approximation Theorem of Portfolio Analysis in terms of Means, Variances and Higher Moments," Review of Economic Studies, Oxford University Press, vol. 37(4), pages 537-542.
    8. Ingersoll, Jonathan, 1975. "Multidimensional Security Pricing," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 10(05), pages 785-798, December.
    9. Lim, Kian-Guan, 1989. "A New Test of the Three-Moment Capital Asset Pricing Model," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 24(02), pages 205-216, June.
    10. Kraus, Alan & Litzenberger, Robert H, 1976. "Skewness Preference and the Valuation of Risk Assets," Journal of Finance, American Finance Association, vol. 31(4), pages 1085-1100, September.
    11. Friend, Irwin & Westerfield, Randolph, 1980. " Co-Skewness and Capital Asset Pricing," Journal of Finance, American Finance Association, vol. 35(4), pages 897-913, September.
    12. Jean, William H., 1971. "The Extension of Portfolio Analysis to Three or More Parameters," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 6(01), pages 505-515, January.
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