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Time-Frequency Analysis of CAPM: Application to the CAC 40

Author

Listed:
  • Roman Mestre

    (MRE - Montpellier Recherche en Economie - UM - Université de Montpellier)

  • Michel Terraza

    (MRE - Montpellier Recherche en Economie - UM - Université de Montpellier)

Abstract

The market line estimation implicitly assumes that its parameters are constant over time supposing whatever the investment horizon, the investors have a similar behaviour. In this paper,we discuss this hypothesis using the technique of wavelets. First, we verify the expected result concerning the statistical weaknesses of market line and the high volatility of its parameters. Second, we use the wavelets to estimate the frequency betas. We show that the classic beta (estimated with OLS) considers a short-run beta. We propose a methodology based on time-frequency analysis that leads to an overview of equities characteristics useful to portfolio managers.
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Suggested Citation

  • Roman Mestre & Michel Terraza, 2018. "Time-Frequency Analysis of CAPM: Application to the CAC 40," Post-Print hal-03195177, HAL.
    • Handle: RePEc:hal:journl:hal-03195177
    DOI: 10.26493/1854-6935.16.141-157
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    References listed on IDEAS

    as
    1. Fama, Eugene F & French, Kenneth R, 1992. "The Cross-Section of Expected Stock Returns," Journal of Finance, American Finance Association, vol. 47(2), pages 427-465, June.
    2. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
    3. Bos, T & Newbold, P, 1984. "An Empirical Investigation of the Possibility of Stochastic Systematic Risk in the Market Model," The Journal of Business, University of Chicago Press, vol. 57(1), pages 35-41, January.
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    Citations

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    Cited by:

    1. MESTRE, Roman & TERRAZA, Michel, 2017. "Estimation du Beta Tempo-fréquentiel de la Droite de Marché-Une approche par les ondelettes continues- [Time-Frequency varying Beta Estimation -A continuous wavelets approach-]," MPRA Paper 86335, University Library of Munich, Germany.
    2. Roman Mestre, 2021. "A wavelet approach of investing behaviors and their effects on risk exposures," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 7(1), pages 1-37, December.
    3. Michel Terraza & Roman Mestre, 2021. "Adjusted beta based on an empirical comparison of OLS ‐CAPM and the CAPM with EGARCH errors," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 26(3), pages 3588-3598, July.
    4. Roman Mestre & Michel Terraza, 2018. "Time-Frequency varying beta estimation -a continuous wavelets approach-," Economics Bulletin, AccessEcon, vol. 38(4), pages 1796-1810.
    5. Rémi Odry & Roman Mestre, 2021. "Monetary Policy and Business Cycle Synchronization in Europe," Working Papers hal-04159759, HAL.
    6. MESTRE, Roman & TERRAZA, Michel, 2017. "Analyse Multidimensionnelle Temps-Fréquence du MEDAF [Multidimensional Time-Frequency Analysis Of The Capm]," MPRA Paper 86330, University Library of Munich, Germany.
    7. Roman Mestre, 2023. "Stock profiling using time–frequency-varying systematic risk measure," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 9(1), pages 1-29, December.
    8. Roman Mestre, 2019. "Time-Frequency Multi-Betas Model-An Application with Gold and Oil -," Cahiers de recherche 19-05, Departement d'économique de l'École de gestion à l'Université de Sherbrooke.
    9. MESTRE, Roman & Terraza, Michel, 2018. "Regression Forward avec fenêtres Tempo-Frequentielles roulantes par ondelettes discretes et continues -Une application à la Droite de Marché - [Forward Regression with Discrete and Continuous Wavel," MPRA Paper 89682, University Library of Munich, Germany.

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    More about this item

    JEL classification:

    • G00 - Financial Economics - - General - - - General
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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