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Systematic risk and volatility skew

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  • Tzang, Shyh-Weir
  • Wang, Chou-Wen
  • Yu, Min-Teh

Abstract

The impact of systematic risk on volatility skew is assessed in a CAPM–GARCH framework under which the relationship between asset price and market index adheres to the CAPM with each residual following an asymmetric GARCH process. From numerical analysis, we demonstrate that (1) the relation between beta and implied volatilities presents a beta smile; (2) beta can determine the shape of implied volatility curve, but systematic risk proportion (SRP) cannot; and (3) the degree of negative skewness and positive kurtosis is proportional to the SRP; however, a higher SRP does not always lead to a higher level of implied volatility.

Suggested Citation

  • Tzang, Shyh-Weir & Wang, Chou-Wen & Yu, Min-Teh, 2016. "Systematic risk and volatility skew," International Review of Economics & Finance, Elsevier, vol. 43(C), pages 72-87.
    • Handle: RePEc:eee:reveco:v:43:y:2016:i:c:p:72-87
    DOI: 10.1016/j.iref.2015.10.032
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    2. Cheng, Hung-Wen & Lo, Chien-Ling & Tsai, Jeffrey Tzuhao, 2020. "Model specification of conditional jump intensity: Evidence from S&P 500 returns and option prices," The North American Journal of Economics and Finance, Elsevier, vol. 54(C).
    3. Chang, Carolyn W. & Li, Xiaodan & Lin, Edward M.H. & Yu, Min-Teh, 2018. "Systemic risk, interconnectedness, and non-core activities in Taiwan insurance industry," International Review of Economics & Finance, Elsevier, vol. 55(C), pages 273-284.
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    6. Danilo Leal & Rodrigo Jiménez & Marco Riquelme & Víctor Leiva, 2023. "Elliptical Capital Asset Pricing Models: Formulation, Diagnostics, Case Study with Chilean Data, and Economic Rationale," Mathematics, MDPI, vol. 11(6), pages 1-27, March.
    7. Xianzi Yang & Chen Zhang & Yu Yang & Yaqi Wu & Po Yun & Zulfiqar Ali Wagan, 2020. "China’s Carbon Pricing Based on Heterogeneous Tail Distribution," Sustainability, MDPI, vol. 12(7), pages 1-16, April.
    8. Hong, Hui & Sung, Hao-Chang & Yang, Jingjing, 2018. "On profitability of volatility trading on S&P 500 equity index options: The role of trading frictions," International Review of Economics & Finance, Elsevier, vol. 55(C), pages 295-307.
    9. Rombouts, Jeroen V.K. & Stentoft, Lars & Violante, Francesco, 2020. "Pricing individual stock options using both stock and market index information," Journal of Banking & Finance, Elsevier, vol. 111(C).
    10. Wang, Xingchun, 2021. "Valuation of options on the maximum of two prices with default risk under GARCH models," The North American Journal of Economics and Finance, Elsevier, vol. 57(C).
    11. Lee, Jin-Ping & Lin, Edward M.H. & Lin, James Juichia & Zhao, Yang, 2020. "Bank systemic risk and CEO overconfidence," The North American Journal of Economics and Finance, Elsevier, vol. 54(C).
    12. Zhiwei Su & Xingchun Wang, 2019. "Pricing executive stock options with averaging features under the Heston–Nandi GARCH model," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 39(9), pages 1056-1084, September.
    13. Kao, Yu-Sheng & Chuang, Hwei-Lin & Ku, Yu-Cheng, 2020. "The empirical linkages among market returns, return volatility, and trading volume: Evidence from the S&P 500 VIX Futures," The North American Journal of Economics and Finance, Elsevier, vol. 54(C).

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    More about this item

    Keywords

    Beta smile; CAPM; GARCH; Systematic risk proportion; Volatility skew;
    All these keywords.

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading

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