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Risk Interpretation of the CAPM's Beta: Evidence from a New Research Method

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  • Pawel Bilinski
  • Danielle Lyssimachou

Abstract

type="main"> This study tests the validity of using the CAPM beta as a risk control in cross-sectional accounting and finance research. We recognize that high-risk stocks should experience either very good or very bad returns more frequently compared to low-risk stocks, that is, high-risk stocks should cluster in the tails of the cross-sectional return distribution. Building on this intuition, we test the risk interpretation of the CAPM's beta by examining if high-beta stocks are more likely than low-beta stocks to experience either very high or very low returns. Our empirical results indicate that beta is a strong predictor of large positive and large negative returns, which confirms that beta is a valid empirical risk measure and that researchers should use beta as a risk control in empirical tests. Further, we show that because the relation between beta and returns is U-shaped, that is, high betas predict both very high and very low returns, linear cross-sectional regression models, for example, Fama–MacBeth regressions, will fail on average to reject the null hypothesis that beta does not capture risk. This result explains why previous studies find no significant cross-sectional relation between beta and returns.

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  • Pawel Bilinski & Danielle Lyssimachou, 2014. "Risk Interpretation of the CAPM's Beta: Evidence from a New Research Method," Abacus, Accounting Foundation, University of Sydney, vol. 50(2), pages 203-226, June.
    • Handle: RePEc:bla:abacus:v:50:y:2014:i:2:p:203-226
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    1. Charlie X. Cai & Iain Clacher & Kevin Keasey, 2013. "Consequences of the Capital Asset Pricing Model ( CAPM )—a Critical and Broad Perspective," Abacus, Accounting Foundation, University of Sydney, vol. 49, pages 51-61, January.
    2. Francis, Jennifer & LaFond, Ryan & Olsson, Per & Schipper, Katherine, 2005. "The market pricing of accruals quality," Journal of Accounting and Economics, Elsevier, vol. 39(2), pages 295-327, June.
    3. Mark Gertler & Simon Gilchrist, 1994. "Monetary Policy, Business Cycles, and the Behavior of Small Manufacturing Firms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(2), pages 309-340.
    4. Dimson, E & Marsh, P R, 1983. "The Stability of UK Risk Measures and the Problem of Thin Trading," Journal of Finance, American Finance Association, vol. 38(3), pages 753-783, June.
    5. 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.
    6. Ferson, Wayne E & Korajczyk, Robert A, 1995. "Do Arbitrage Pricing Models Explain the Predictability of Stock Returns?," The Journal of Business, University of Chicago Press, vol. 68(3), pages 309-349, July.
    7. Gabriel Perez‐Quiros & Allan Timmermann, 2000. "Firm Size and Cyclical Variations in Stock Returns," Journal of Finance, American Finance Association, vol. 55(3), pages 1229-1262, June.
    8. 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.
    9. Henk Berkman, 2013. "The Capital Asset Pricing Model: A Revolutionary Idea in Finance!," Abacus, Accounting Foundation, University of Sydney, vol. 49, pages 32-35, January.
    10. Jagannathan, Ravi & Wang, Zhenyu, 1996. "The Conditional CAPM and the Cross-Section of Expected Returns," Journal of Finance, American Finance Association, vol. 51(1), pages 3-53, March.
    11. X. Frank Zhang, 2006. "Information Uncertainty and Stock Returns," Journal of Finance, American Finance Association, vol. 61(1), pages 105-137, February.
    12. Abarbanell, J & Bernard, V, 2000. "Is the US stock market myopic?," Journal of Accounting Research, Wiley Blackwell, vol. 38(2), pages 221-242.
    13. Y. Peter Chung & Michael J. Schill, 2006. "Asset Pricing When Returns Are Nonnormal: Fama-French Factors versus Higher-Order Systematic Comoments," The Journal of Business, University of Chicago Press, vol. 79(2), pages 923-940, March.
    14. John Y. Campbell & Jens Hilscher & Jan Szilagyi, 2008. "In Search of Distress Risk," Journal of Finance, American Finance Association, vol. 63(6), pages 2899-2939, December.
    15. Avanidhar Subrahmanyam, 2013. "Comments and Perspectives on ‘The Capital Asset Pricing Model’," Abacus, Accounting Foundation, University of Sydney, vol. 49, pages 79-81, January.
    16. Stambaugh, Robert F., 1982. "On the exclusion of assets from tests of the two-parameter model : A sensitivity analysis," Journal of Financial Economics, Elsevier, vol. 10(3), pages 237-268, November.
    17. George, Thomas J. & Hwang, Chuan-Yang, 2010. "A resolution of the distress risk and leverage puzzles in the cross section of stock returns," Journal of Financial Economics, Elsevier, vol. 96(1), pages 56-79, April.
    18. Kim, Dongcheol, 1995. "The Errors in the Variables Problem in the Cross-Section of Expected Stock Returns," Journal of Finance, American Finance Association, vol. 50(5), pages 1605-1634, December.
    19. Penman, Sh, 1980. "An Empirical-Investigation Of The Voluntary Disclosure Of Corporate-Earnings Forecasts," Journal of Accounting Research, Wiley Blackwell, vol. 18(1), pages 132-160.
    20. Fama, Eugene F. & French, Kenneth R., 1993. "Common risk factors in the returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 33(1), pages 3-56, February.
    21. Lo, Andrew W & MacKinlay, A Craig, 1990. "Data-Snooping Biases in Tests of Financial Asset Pricing Models," The Review of Financial Studies, Society for Financial Studies, vol. 3(3), pages 431-467.
    22. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    23. Ball, R & Brown, P, 1968. "Empirical Evaluation Of Accounting Income Numbers," Journal of Accounting Research, Wiley Blackwell, vol. 6(2), pages 159-178.
    24. Diamond, Douglas W & Verrecchia, Robert E, 1991. "Disclosure, Liquidity, and the Cost of Capital," Journal of Finance, American Finance Association, vol. 46(4), pages 1325-1359, September.
    25. Roll, Richard, 1977. "A critique of the asset pricing theory's tests Part I: On past and potential testability of the theory," Journal of Financial Economics, Elsevier, vol. 4(2), pages 129-176, March.
    26. Tyler Shumway & Vincent A. Warther, 1999. "The Delisting Bias in CRSP's Nasdaq Data and Its Implications for the Size Effect," Journal of Finance, American Finance Association, vol. 54(6), pages 2361-2379, December.
    27. Dimson, Elroy, 1979. "Risk measurement when shares are subject to infrequent trading," Journal of Financial Economics, Elsevier, vol. 7(2), pages 197-226, June.
    28. Alon Brav & Reuven Lehavy & Roni Michaely, 2005. "Using Expectations to Test Asset Pricing Models," Financial Management, Financial Management Association, vol. 34(3), Fall.
    29. Pastor, Lubos & Stambaugh, Robert F., 2002. "Mutual fund performance and seemingly unrelated assets," Journal of Financial Economics, Elsevier, vol. 63(3), pages 315-349, March.
    30. Blume, Marshall E & Friend, Irwin, 1973. "A New Look at the Capital Asset Pricing Model," Journal of Finance, American Finance Association, vol. 28(1), pages 19-33, March.
    31. D. J. Johnstone, 2013. "The CAPM Debate and the Logic and Philosophy of Finance," Abacus, Accounting Foundation, University of Sydney, vol. 49, pages 1-6, January.
    32. Graham Partington, 2013. "Death Where is Thy Sting? A Response to D empsey's Despatching of the CAPM," Abacus, Accounting Foundation, University of Sydney, vol. 49, pages 69-72, January.
    33. Tom Smith & Kathleen Walsh, 2013. "Why the CAPM is Half-Right and Everything Else is Wrong," Abacus, Accounting Foundation, University of Sydney, vol. 49, pages 73-78, January.
    34. Imad A. Moosa, 2013. "The Capital Asset Pricing Model ( CAPM ): The History of a Failed Revolutionary Idea in Finance? Comments and Extensions," Abacus, Accounting Foundation, University of Sydney, vol. 49, pages 62-68, January.
    35. Collins, Daniel W., 1975. "SEC product-line reporting and market efficiency," Journal of Financial Economics, Elsevier, vol. 2(2), pages 125-164, June.
    36. Fama, Eugene F & MacBeth, James D, 1973. "Risk, Return, and Equilibrium: Empirical Tests," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 607-636, May-June.
    37. Chan, K C & Chen, Nai-Fu, 1991. "Structural and Return Characteristics of Small and Large Firms," Journal of Finance, American Finance Association, vol. 46(4), pages 1467-1484, September.
    38. Stephen H. Penman, 2010. "Financial Forecasting, Risk and Valuation: Accounting for the Future," Abacus, Accounting Foundation, University of Sydney, vol. 46(2), pages 211-228, June.
    39. Stephen Penman, 2011. "Accounting for Risk and Return in Equity Valuation," Journal of Applied Corporate Finance, Morgan Stanley, vol. 23(2), pages 50-58, June.
    40. Coles, Jeffrey L. & Loewenstein, Uri, 1988. "Equilibrium pricing and portfolio composition in the presence of uncertain parameters," Journal of Financial Economics, Elsevier, vol. 22(2), pages 279-303, December.
    41. Verrecchia, Robert E., 2001. "Essays on disclosure," Journal of Accounting and Economics, Elsevier, vol. 32(1-3), pages 97-180, December.
    42. Shumway, Tyler, 1997. "The Delisting Bias in CRSP Data," Journal of Finance, American Finance Association, vol. 52(1), pages 327-340, March.
    43. Mech, Timothy S., 1993. "Portfolio return autocorrelation," Journal of Financial Economics, Elsevier, vol. 34(3), pages 307-344, December.
    44. 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.
    45. Fu, Fangjian, 2009. "Idiosyncratic risk and the cross-section of expected stock returns," Journal of Financial Economics, Elsevier, vol. 91(1), pages 24-37, January.
    46. Lakonishok, Josef & Shapiro, Alan C., 1986. "Systematic risk, total risk and size as determinants of stock market returns," Journal of Banking & Finance, Elsevier, vol. 10(1), pages 115-132, March.
    47. Ohlson, Ja, 1980. "Financial Ratios And The Probabilistic Prediction Of Bankruptcy," Journal of Accounting Research, Wiley Blackwell, vol. 18(1), pages 109-131.
    48. repec:bla:jfinan:v:53:y:1998:i:3:p:1131-1147 is not listed on IDEAS
    49. Graham Bornholt, 2013. "The Failure of the Capital Asset Pricing Model ( CAPM ): An Update and Discussion," Abacus, Accounting Foundation, University of Sydney, vol. 49, pages 36-43, January.
    50. Hans B. Christensen & Edward Lee & Martin Walker, 2009. "Do IFRS Reconciliations Convey Information? The Effect of Debt Contracting," Journal of Accounting Research, Wiley Blackwell, vol. 47(5), pages 1167-1199, December.
    51. Collins, Daniel W. & Maydew, Edward L. & Weiss, Ira S., 1997. "Changes in the value-relevance of earnings and book values over the past forty years," Journal of Accounting and Economics, Elsevier, vol. 24(1), pages 39-67, December.
    52. Connolly, Robert A., 1989. "An Examination of the Robustness of the Weekend Effect," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 24(2), pages 133-169, June.
    53. 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.
    54. 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.
    55. Kent Daniel & Sheridan Titman, 2006. "Market Reactions to Tangible and Intangible Information," Journal of Finance, American Finance Association, vol. 61(4), pages 1605-1643, August.
    56. repec:bla:jfinan:v:44:y:1989:i:1:p:149-66 is not listed on IDEAS
    57. Kothari, S P & Shanken, Jay & Sloan, Richard G, 1995. "Another Look at the Cross-Section of Expected Stock Returns," Journal of Finance, American Finance Association, vol. 50(1), pages 185-224, March.
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