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Capital asset pricing model: A time-varying volatility approach

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  • Kim, Kun Ho
  • Kim, Taejin

Abstract

In this paper, we propose a methodology to conduct uniform inference of volatility in the capital asset pricing model (CAPM). To that end, relevant theory is employed to construct the uniform confidence band of the volatility in the CAPM. The methodology is applied to the U.S. stock return data. The empirical results show strong evidence of co-movement among the volatility estimates for six U.S. stocks of large market capitalization. The hypothesis of constant volatility for the CAPM is rejected unanimously, mainly due to the surge in volatility in the early 2000s and during the 2008 financial crisis.

Suggested Citation

  • Kim, Kun Ho & Kim, Taejin, 2016. "Capital asset pricing model: A time-varying volatility approach," Journal of Empirical Finance, Elsevier, vol. 37(C), pages 268-281.
    • Handle: RePEc:eee:empfin:v:37:y:2016:i:c:p:268-281
    DOI: 10.1016/j.jempfin.2016.01.014
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    2. Bohan Zhao & Hong Yin & Yonghong Long, 2024. "An Advanced Time-Varying Capital Asset Pricing Model via Heterogeneous Autoregressive Framework: Evidence from the Chinese Stock Market," Mathematics, MDPI, vol. 13(1), pages 1-14, December.
    3. Hermans, Lieven & Kostka, Thomas & Vassallo, Danilo, 2023. "Asset allocation and risk taking under different interest rate regimes," Working Paper Series 2803, European Central Bank.
    4. Jardine A. Husman & Ali Sakti & Dahnila Dahlan & Imam Wahyudi Indrawan & Zaäfri A. Husodo & Nur Dhani Hendranastiti & Muhammad Budi Prasetyo & Wahyu Jatmiko, 2022. "On The Development Of The Islamic Benchmark Rate: An Indonesian Case," Working Papers WP/04/2022, Bank Indonesia.
    5. Daiki Maki & Yasushi Ota, 2021. "Testing for Time-Varying Properties Under Misspecified Conditional Mean and Variance," Computational Economics, Springer;Society for Computational Economics, vol. 57(4), pages 1167-1182, April.
    6. Tanujit Dey & Kun Ho Kim & Chae Young Lim, 2018. "Bayesian time series regression with nonparametric modeling of autocorrelation," Computational Statistics, Springer, vol. 33(4), pages 1715-1731, December.
    7. Abdelkader Derbali & Abderrazek El Khaldi & Fathi Jouini, 2017. "Shariah-compliant Capital Asset Pricing Model: new mathematical modeling," Journal of Asset Management, Palgrave Macmillan, vol. 18(7), pages 527-537, December.
    8. Astill, Sam & Taylor, A.M. Robert & Kellard, Neil & Korkos, Ioannis, 2023. "Using covariates to improve the efficacy of univariate bubble detection methods," Journal of Empirical Finance, Elsevier, vol. 70(C), pages 342-366.
    9. Manuel Monge & Luis A. Gil-Alana, 2020. "The Lithium Industry and Analysis of the Beta Term Structure of Oil Companies," Risks, MDPI, vol. 8(4), pages 1-17, December.
    10. Daiki Maki & Yasushi Ota, 2019. "Testing for time-varying properties under misspecified conditional mean and variance," Papers 1907.12107, arXiv.org, revised Aug 2019.
    11. Horváth, Lajos & Li, Bo & Li, Hemei & Liu, Zhenya, 2020. "Time-varying beta in functional factor models: Evidence from China," The North American Journal of Economics and Finance, Elsevier, vol. 54(C).

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    More about this item

    Keywords

    Capital asset pricing model; Time-varying volatility; Idiosyncratic risk; Uniform inference; Co-movement; Financial crisis;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • G01 - Financial Economics - - General - - - Financial Crises
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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