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Payment For Risk: Constant Beta Vs. Dual‐Beta Models

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  • Glenn Pettengill
  • Sridhar Sundaram
  • Ike Mathur

Abstract

Fama and French’s (1992) assertion that investors receive premium payments for risk associated with the book value to market price (BE/ME) and size and not for holding beta risk has sparked a lively debate concerning risk factors that are priced in the market. Howton and Peterson (1998) use a dual‐beta model to test the Fama and French conclusions. They conclude that the significant relationship between beta and returns depends on the use of the dual‐beta model. This work, however, ignores the results reported by Pettengill, Sundaram, and Mathur (PSM, 1995). PSM find a significant relation between a constant risk beta and returns when data are segmented between up and down markets, but do not consider the impact of size and BE/ME. In this paper we show that the PSM (1995) market segmentation procedure alone provides a sufficient condition to identify a significant relation between beta and returns in the presence of size and BE/ME. Dual market betas may be relevant in explaining risk and return. However, the market segmentation procedure of PSM (1995) is the critical condition for finding a significant relationship between returns and betas.

Suggested Citation

  • Glenn Pettengill & Sridhar Sundaram & Ike Mathur, 2002. "Payment For Risk: Constant Beta Vs. Dual‐Beta Models," The Financial Review, Eastern Finance Association, vol. 37(2), pages 123-135, May.
    • Handle: RePEc:bla:finrev:v:37:y:2002:i:2:p:123-135
    DOI: 10.1111/1540-6288.00008
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    Cited by:

    1. Rıza Demirer & Shrikant P. Jategaonkar, 2013. "The conditional relation between dispersion and return," Review of Financial Economics, John Wiley & Sons, vol. 22(3), pages 125-134, September.
    2. Ho, Ron Yiu-wah & Strange, Roger & Piesse, Jenifer, 2006. "On the conditional pricing effects of beta, size, and book-to-market equity in the Hong Kong market," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 16(3), pages 199-214, July.
    3. Hur, Jungshik & Pettengill, Glenn & Singh, Vivek, 2014. "Market states and the risk-based explanation of the size premium," Journal of Empirical Finance, Elsevier, vol. 28(C), pages 139-150.
    4. Gordon Tang & Wai Cheong Shum, 2006. "Risk-return relationships in the Hong Kong stock market: revisit," Applied Financial Economics, Taylor & Francis Journals, vol. 16(14), pages 1047-1058.
    5. Francesco Busato & Cuono Massimo Coletta & Maria Manganiello, 2019. "Estimating the Cost of Equity Capital: Forecasting Accuracy for U.S. REIT Sector," International Real Estate Review, Global Social Science Institute, vol. 22(3), pages 399-430.
    6. Ferikawita M. Sembiring, 2017. "Single Beta and Dual Beta Models: A Testing of CAPM on Condition of Market Overreactions," GATR Journals jfbr128, Global Academy of Training and Research (GATR) Enterprise.
    7. van Dijk, Mathijs A., 2011. "Is size dead? A review of the size effect in equity returns," Journal of Banking & Finance, Elsevier, vol. 35(12), pages 3263-3274.
    8. Chong-Chuo Chang & Tai-Yung Kam & Chih-Chung Chien & Wan Ting Su, 2019. "The Impact of Financial Constraints on the Convertible Bond Announcement Returns," Economies, MDPI, vol. 7(2), pages 1-9, April.
    9. David Morelli, 2012. "Security returns, beta, size, and book-to-market equity: evidence from the Shanghai A-share market," Review of Quantitative Finance and Accounting, Springer, vol. 38(1), pages 47-60, January.
    10. Anwar, Yunita & Mulyadi, Martin Surya, 2009. "The day of the week effects in Indonesia, Singapore, and Malaysia stock market," MPRA Paper 16873, University Library of Munich, Germany.
    11. Ho, Ron Yiu Wah & Strange, Roger & Piesse, Jenifer, 2008. "Corporate financial leverage and asset pricing in the Hong Kong market," International Business Review, Elsevier, vol. 17(1), pages 1-7, February.
    12. Rutkowska – Ziarko, Anna & Markowski, Lesław & Abdou, Hussein A., 2024. "Conditional CAPM relationships in standard and accounting risk approaches," The North American Journal of Economics and Finance, Elsevier, vol. 72(C).
    13. Supriya Maheshwari & Raj S. Dhankar, 2018. "Market State and Investment Strategies: Evidence from the Indian Stock Market," IIM Kozhikode Society & Management Review, , vol. 7(2), pages 154-170, July.
    14. Ying-Sing LIU & Liza LEE, 2022. "Are Modifications in the ETF's Investment Performance and Risks during the COVID-19 Pandemic Event?," Review of Applied Socio-Economic Research, Pro Global Science Association, vol. 23(1), pages 05-17, June.
    15. Lawrence Kryzanowski & Skander Lazrak, 2007. "Trading Activity, Trade Costs and Informed Trading for Acquisition Targets and Acquirers," The European Journal of Finance, Taylor & Francis Journals, vol. 13(5), pages 405-439.
    16. Francesco Busato & Cuono Massimo Coletta & Maria Manganiello, 2019. "Estimating the Cost of Equity Capital: Forecasting Accuracy for U.S. REIT Sector," International Real Estate Review, Asian Real Estate Society, vol. 22(3), pages 401-432.
    17. 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.
    18. William J. Trainor, 2012. "Volatility and Compounding Effects on Beta and Returns," The International Journal of Business and Finance Research, The Institute for Business and Finance Research, vol. 6(4), pages 1-11.
    19. Guermat, Cherif & Freeman, Mark C., 2010. "A net beta test of asset pricing models," International Review of Financial Analysis, Elsevier, vol. 19(1), pages 1-9, January.
    20. Morelli, David, 2007. "Beta, size, book-to-market equity and returns: A study based on UK data," Journal of Multinational Financial Management, Elsevier, vol. 17(3), pages 257-272, July.

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