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A conditional CAPM; implications for the estimation of systematic risk

Author

Listed:
  • Alexandros E. Milionis

    (Bank of Greece)

  • Dimitra K. Patsouri

    (University of Athens)

Abstract

The purpose of this paper is to examine: (i) whether or not, the residuals of the Market Model are conditionally heteroscedastic; (ii) whether or not, there exists an intervalling effect in conditional heteroscedasticity in the residuals of the Market Model; (iii) the effect of conditional heteroscedasticity on the estimation of systematic risk.; as well as to propose a simple data driven conditional CAPM. To this end daily closing price of stocks traded at the Athens Stock Exchange are used. Empirical evidence is provided for the existence of: (a) conditional heteroscedasticity in MM residuals; (b) a pronounced intervalling effect on ARCH in MM residuals; (c) GARCH in mean type of conditional heteroscedasticity for the majority of cases where ARCH was present in MM residuals. These findings in terms of theory are conducive to a conditional CAPM, which takes into account the effect of conditional variance on expected returns, rather than the standard CAPM. Furthermore, in terms of practical implications these findings may lead to better estimates of systematic risk.

Suggested Citation

  • Alexandros E. Milionis & Dimitra K. Patsouri, 2011. "A conditional CAPM; implications for the estimation of systematic risk," Working Papers 131, Bank of Greece.
    • Handle: RePEc:bog:wpaper:131
    as

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    References listed on IDEAS

    as
    1. Alexandros Milionis & Demetrios Moschos, 2000. "On the validity of the weak-form efficient markets hypothesis applied to the London stock exchange: comment," Applied Economics Letters, Taylor & Francis Journals, vol. 7(7), pages 419-421.
    2. Kalman J. Cohen & Gabriel A. Hawawini & Steven F. Maier & Robert A. Schwartz & David K. Whitcomb, 1983. "Estimating and Adjusting for the Intervalling-Effect Bias in Beta," Management Science, INFORMS, vol. 29(1), pages 135-148, January.
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    5. Fung, William K. H. & Schwartz, Robert A. & Whitcomb, David K., 1985. "Adjusting for the intervalling effect bias in beta : A Test using Paris Bourse Data," Journal of Banking & Finance, Elsevier, vol. 9(3), pages 443-460, September.
    6. Bollerslev, Tim & Chou, Ray Y. & Kroner, Kenneth F., 1992. "ARCH modeling in finance : A review of the theory and empirical evidence," Journal of Econometrics, Elsevier, vol. 52(1-2), pages 5-59.
    7. Cohen, Kalman J. & Hawawini, Gabriel A. & Maier, Steven F. & Schwartz, Robert A. & Whitcomb, David K., 1983. "Friction in the trading process and the estimation of systematic risk," Journal of Financial Economics, Elsevier, vol. 12(2), pages 263-278, August.
    8. Fama, Eugene F & French, Kenneth R, 1996. "Multifactor Explanations of Asset Pricing Anomalies," Journal of Finance, American Finance Association, vol. 51(1), pages 55-84, March.
    9. Black, Fischer, 1972. "Capital Market Equilibrium with Restricted Borrowing," The Journal of Business, University of Chicago Press, vol. 45(3), pages 444-455, July.
    10. Alexandros Milionis & Evangelia Papanagiotou, 2009. "A study of the predictive performance of the moving average trading rule as applied to NYSE, the Athens Stock Exchange and the Vienna Stock Exchange: sensitivity analysis and implications for weak-for," Applied Financial Economics, Taylor & Francis Journals, vol. 19(14), pages 1171-1186.
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    Cited by:

    1. Dragos Stefan Oprea, 2015. "The Interval Effect in Estimating Beta: Empirical Evidence from the Romanian Stock Market," The Review of Finance and Banking, Academia de Studii Economice din Bucuresti, Romania / Facultatea de Finante, Asigurari, Banci si Burse de Valori / Catedra de Finante, vol. 7(2), pages 016-025, December.

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    More about this item

    Keywords

    Conditional Capital Asset Pricing Model; Market Model; Conditional Volatility; Systematic Risk; Intervalling Effect; Athens Stock Exchange.;
    All these keywords.

    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill

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