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The Analytics of the Intervaling Effect on Skewness and Kurtosis of Stock Returns

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  • Lau, Hon-Shiang
  • Wingender, John R

Abstract

This paper analyzes how the skewness and kurtosis of securities' returns are affected by the length of the differencing interval over which returns are measured. Hawawini's previous analysis of this "intervaling effect" on log returns is shown to be incorrect, and the correct effects are derived. While Hawawini only considered log returns, we also derived the intervaling effect on the skewness and kurtosis of "simple" returns. Our results show that the length of differencing interval has very different effects on log and simple returns, but in both cases the effects on the returns' skewness and kurtosis are substantial and also quite tractable. These results also enable us to reconcile some of the contradictory results published earlier on the intervaling effect. Copyright 1989 by MIT Press.

Suggested Citation

  • Lau, Hon-Shiang & Wingender, John R, 1989. "The Analytics of the Intervaling Effect on Skewness and Kurtosis of Stock Returns," The Financial Review, Eastern Finance Association, vol. 24(2), pages 215-233, May.
    • Handle: RePEc:bla:finrev:v:24:y:1989:i:2:p:215-33
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    Cited by:

    1. Gordon Tang & Daniel Choi, 1998. "Impact of diversification on the distribution of stock returns: International evidence," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 22(2), pages 119-127, June.
    2. Lieberman, Offer & Phillips, Peter C.B., 2022. "Understanding temporal aggregation effects on kurtosis in financial indices," Journal of Econometrics, Elsevier, vol. 227(1), pages 25-46.
    3. G. Y. N. Tang, 1995. "Stability of international stock market relationships across month of the year and different holding intervals," The European Journal of Finance, Taylor & Francis Journals, vol. 1(3), pages 207-218.
    4. Erik Kole & Thijs Markwat & Anne Opschoor & Dick van Dijk, 2017. "Forecasting Value-at-Risk under Temporal and Portfolio Aggregation," Journal of Financial Econometrics, Oxford University Press, vol. 15(4), pages 649-677.
    5. Chenglu Jin & Thomas Conlon & John Cotter, 2023. "Co-Skewness across Return Horizons," Journal of Financial Econometrics, Oxford University Press, vol. 21(5), pages 1483-1518.
    6. Adcock, C.J. & Shutes, K., 2005. "An analysis of skewness and skewness persistence in three emerging markets," Emerging Markets Review, Elsevier, vol. 6(4), pages 396-418, December.
    7. Bernard, Carole & Vanduffel, Steven & Ye, Jiang, 2019. "Optimal strategies under Omega ratio," European Journal of Operational Research, Elsevier, vol. 275(2), pages 755-767.
    8. Bredin, Don & Conlon, Thomas & Potì, Valerio, 2017. "The price of shelter - Downside risk reduction with precious metals," International Review of Financial Analysis, Elsevier, vol. 49(C), pages 48-58.

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