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Day-of-the-week effect on the VIX. A parsimonious representation

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  • Gonzalez-Perez, Maria T.
  • Guerrero, David E.

Abstract

The study of significant deterministic seasonal patterns in financial asset returns is of high importance to academia and investors. This paper analyzes the presence of seasonal daily patterns in the VIX and S&P 500 returns series using a trigonometric specification. First, we show that, given the isomorphism between the trigonometrical and alternative seasonality representations (i.e., daily dummies), it is possible to test daily seasonal patterns by employing a trigonometrical representation based on a finite sum of weighted sines and cosines. We find a potential evolutive seasonal pattern in the daily VIX that is not in the daily S&P 500 log-returns series. In particular, we find an inverted Monday effect in the VIX level and changes in the VIX, and a U-shaped seasonal pattern in the changes in the VIX when we control for outliers. The trigonometrical representation is more robust to outliers than the one commonly used by literature, but it is not immune to them. Finally, we do not find a day-of-the-week effect in S&P 500 returns series, which suggests the presence of a deterministic seasonal pattern in the relation between VIX and S&P 500 returns.

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  • Gonzalez-Perez, Maria T. & Guerrero, David E., 2013. "Day-of-the-week effect on the VIX. A parsimonious representation," The North American Journal of Economics and Finance, Elsevier, vol. 25(C), pages 243-260.
    • Handle: RePEc:eee:ecofin:v:25:y:2013:i:c:p:243-260
    DOI: 10.1016/j.najef.2012.06.003
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    Cited by:

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    2. Hammoudeh, Shawkat & McAleer, Michael, 2013. "Risk management and financial derivatives: An overview," The North American Journal of Economics and Finance, Elsevier, vol. 25(C), pages 109-115.
    3. Qadan, Mahmoud & Nisani, Doron & Eichel, Ron, 2022. "Irregularities in forward-looking volatility," The Quarterly Review of Economics and Finance, Elsevier, vol. 86(C), pages 489-501.
    4. Beladi, Hamid & Chao, Chi Chur & Hu, May, 2016. "The Christmas effect—Special dividend announcements," International Review of Financial Analysis, Elsevier, vol. 43(C), pages 15-30.
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    6. Yasmeen Idilbi-Bayaa & Mahmoud Qadan, 2022. "Tell Me Why I Do Not Like Mondays," Mathematics, MDPI, vol. 10(11), pages 1-22, May.
    7. Gonzalez-Perez, Maria T., 2015. "Model-free volatility indexes in the financial literature: A review," International Review of Economics & Finance, Elsevier, vol. 40(C), pages 141-159.

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    More about this item

    Keywords

    Volatility index; Returns; Box–Cox transformation; Seasonality; Leverage effect;
    All these keywords.

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets

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