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Environment Systems and Decisions

, Volume 36, Issue 2, pp 126–141 | Cite as

Beta estimates of shares on the JSE Top 40 in the context of reference-day risk

  • Christopher Baker
  • Kanshukan Rajaratnam
  • Emlyn James Flint
Article

Abstract

A topic of interest in the finance world is measuring systematic risk. Accurately measuring the systematic risk component—or Beta—of an asset or portfolio is important in many financial applications. In this work, we consider the efficiency of a range of Beta estimation methods commonly used in practice from a reference-day risk perspective. We show that, when using the industry standard data sample of 5 years of monthly returns, the choice of reference-day used to calculate underlying returns has a significant impact on all of the Beta estimation methods considered. Driven by this finding, we propose and test an alternative nonparametric bootstrap approach for calculating Beta estimates which is unaffected by reference-day risk. Our primary goal is to determine a point-estimate of Beta, independent of reference-day.

Keywords

Reference-day risk Bootstrap Systematic risk Beta 

Notes

Acknowledgments

This work is based on the research supported in part by the National Research Foundation (NRF) of South Africa for the Grant No. 93649. Any opinion, finding and conclusion or recommendation expressed in this material is that of the authors and the NRF does not accept any liability in this regard. Additional funding was provided by University of Cape Town Research Office through the Research Development Grant and the Conference Travel Grant.

References

  1. Acker D, Duck NW (2007) Reference-day risk and the use of monthly returns data. J Account Audit Financ 22(4):527–557, http://search.ebscohost.com/login.aspx?direct=true&db=buh&AN=27157515&site=ehost-live
  2. Adèr HJ, Adèr M, et al (2008) Advising on research methods: a consultant’s companion. Johannes van Kessel Publishing, HuizenGoogle Scholar
  3. Blume ME (1971) On the assessment of risk. J Financ 26(1):1–10, http://search.ebscohost.com/login.aspx?direct=true&db=buh&AN=4655731&site=ehost-live
  4. BNP Paribas Cadiz Securities (2014) Estimating betas for JSE-listed companies and indicesGoogle Scholar
  5. Bowie D, Bradfield D (1993) Improved beta estimation on the JSE: a simulation study. S Afr J Bus Manag 24:118–123Google Scholar
  6. Bradfield D (2003) Investment basics xlvi. on estimating the beta coefficient. Invest Anal J 57:47–53Google Scholar
  7. Cademartori D, Romo C, Campos R, Galea M (2003) Robust estimation of systematic risk using the t distribution in the chilean stock markets. Appl Econ Lett 10(7):447, http://search.ebscohost.com/login.aspx?direct=true&db=buh&AN=10088858&site=ehost-live
  8. Cohen KJ, Hawawini GA, Maier SF, Schwartz RA, Whitcomb DK (1983) Friction in the trading process and the estimation of systematic risk. J Financ Econ 12(2):263–278, http://dx.doi.org/10.1016/0304-405X(83)90038-7,
  9. Dimitrov V, Govindaraj S (2007) Reference-day risk: observations and extensions. J Account Audit Financ 22(4):559–572, http://search.ebscohost.com/login.aspx?direct=true&db=buh&AN=27157516&site=ehost-live
  10. Dimson E (1979) Risk measurement when shares are subject to infrequent trading. J Financ Econ 7(2):197–226, http://dx.doi.org/10.1016/0304-405X(79)90013-8,
  11. Fox J, Friendly M, Weisberg S (2013) Hypothesis tests for multivariate linear models using the car package. R J 5(1):39–52Google Scholar
  12. Gonzalez M, Rodriguez A, Stein R (2014) Adjusted betas under reference-day risk. Eng Econ 59(1):79–88, http://search.ebscohost.com/login.aspx?direct=true&db=aph&AN=94873175&site=ehost-live
  13. Marsh P (1979) Equity rights issues and the efficiency of the uk stock market. J Financ 34(4):839–862, http://search.ebscohost.com/login.aspx?direct=true&db=buh&AN=4656321&site=ehost-live
  14. Scholes M, Williams J (1977) Estimating betas from nonsynchronous data. J Financ Econ 5(3):309–327, http://dx.doi.org/10.1016/0304-405X(77)90041-1,
  15. Sharpe WF (1963) A simplified model for portfolio analysis. Manag Sci 9(2):277–293, http://search.ebscohost.com/login.aspx?direct=true&db=buh&AN=7451896&site=ehost-live
  16. Vasicek OA (1973) A note on using cross-sectional information in bayesian estimation of security bias. J Financ 28(5):1233–1239, http://search.ebscohost.com/login.aspx?direct=true&db=buh&AN=4653778&site=ehost-live

Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  • Christopher Baker
    • 1
  • Kanshukan Rajaratnam
    • 2
  • Emlyn James Flint
    • 3
  1. 1.Section of Actuarial ScienceUniversity of Cape TownRondeboschSouth Africa
  2. 2.Department of Finance and Tax, and the African Collaboration for Quantitative Finance and Risk ResearchUniversity of Cape TownRondeboschSouth Africa
  3. 3.Peregrine Securities, Claremont, South Africa and Department of Mathematics and Applied MathematicsUniversity of PretoriaHatfieldSouth Africa

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