IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v83y2012icp10-22.html
   My bibliography  Save this article

Realized dual-betas for leading Australian stocks: An evaluation of the estimation methods and the effect of the sampling interval

Author

Listed:
  • Nath, H. (Mindi) B.
  • Kim, Jae H.
  • Brooks, Robert D.

Abstract

We present a novel empirical approach based on categorizing systematic risk, the beta of a stock, for evaluating the performance of two recently reported interval estimation methods, the asymptotic and the wild bootstrap, suitable for estimation from high-frequency data. In a dual-beta context, the robustness of the estimation methods is assessed using three different lengths of the sampling interval that fall within the range deemed reasonable for achieving a balance between bias and precision of estimates derived from intra-day data. We apply ‘clustering of variables’ to categorized betas to assess similarity of market risk experienced by various stocks in up and down market conditions when such risk is estimated using different methods and data sampled at differing sampling intervals. Our study suggests that regardless of the length of the sampling interval, the estimation procedure and market conditions are the major influencing factors. The effect of the length of the sampling interval in producing dissimilar estimates is more in up market conditions compared with down market conditions for both estimation methods. The study also suggests that categorization based on the wild bootstrap method provides more robust results than the asymptotic results, to the choice of different intra-day sampling intervals.

Suggested Citation

  • Nath, H. (Mindi) B. & Kim, Jae H. & Brooks, Robert D., 2012. "Realized dual-betas for leading Australian stocks: An evaluation of the estimation methods and the effect of the sampling interval," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 83(C), pages 10-22.
  • Handle: RePEc:eee:matcom:v:83:y:2012:i:c:p:10-22
    DOI: 10.1016/j.matcom.2009.05.015
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475409001694
    Download Restriction: Full text for ScienceDirect subscribers only

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Bollerslev, Tim & Engle, Robert F & Wooldridge, Jeffrey M, 1988. "A Capital Asset Pricing Model with Time-Varying Covariances," Journal of Political Economy, University of Chicago Press, vol. 96(1), pages 116-131, February.
    2. 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.
    3. Pettengill, Glenn N. & Sundaram, Sridhar & Mathur, Ike, 1995. "The Conditional Relation between Beta and Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 30(1), pages 101-116, March.
    4. Ole E. Barndorff-Nielsen & Neil Shephard, 2002. "Estimating quadratic variation using realized variance," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 17(5), pages 457-477.
    5. Ruiz, Esther & Pascual, Lorenzo, 2002. " Bootstrapping Financial Time Series," Journal of Economic Surveys, Wiley Blackwell, vol. 16(3), pages 271-300, July.
    6. Torben G. Andersen & Tim Bollerslev & Francis X. Diebold & Paul Labys, 2003. "Modeling and Forecasting Realized Volatility," Econometrica, Econometric Society, vol. 71(2), pages 579-625, March.
    7. Ole E. Barndorff-Nielsen & Neil Shephard, 2004. "Econometric Analysis of Realized Covariation: High Frequency Based Covariance, Regression, and Correlation in Financial Economics," Econometrica, Econometric Society, vol. 72(3), pages 885-925, May.
    8. Bandi, Federico M. & Russell, Jeffrey R., 2006. "Separating microstructure noise from volatility," Journal of Financial Economics, Elsevier, vol. 79(3), pages 655-692, March.
    9. Schwert, G William & Seguin, Paul J, 1990. " Heteroskedasticity in Stock Returns," Journal of Finance, American Finance Association, vol. 45(4), pages 1129-1155, September.
    10. Black, A. & Fraser, P. & Power, D., 1992. "UK unit trust performance 1980-1989: A passive time-varying approach," Journal of Banking & Finance, Elsevier, vol. 16(5), pages 1015-1033, September.
    11. Sílvia Gonçalves & Nour Meddahi, 2009. "Bootstrapping Realized Volatility," Econometrica, Econometric Society, vol. 77(1), pages 283-306, January.
    12. Faff, Robert, 2001. "A Multivariate Test of a Dual-Beta CAPM: Australian Evidence," The Financial Review, Eastern Finance Association, vol. 36(4), pages 157-174, November.
    13. Bhardwaj, Ravinder K & Brooks, LeRoy D, 1993. "Dual Betas from Bull and Bear Markets: Reversal of the Size Effect," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 16(4), pages 269-283, Winter.
    14. Glenn Pettengill, 2002. "Payment For Risk: Constant Beta Vs. Dual-Beta Models," The Financial Review, Eastern Finance Association, vol. 37(2), pages 123-135, May.
    15. Howton, Shelly W & Peterson, David R, 1998. "An Examination of Cross-Sectional Realized Stock Returns Using a Varying-Risk Beta Model," The Financial Review, Eastern Finance Association, vol. 33(3), pages 199-212, August.
    Full references (including those not matched with items on IDEAS)

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matcom:v:83:y:2012:i:c:p:10-22. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dana Niculescu). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.