IDEAS home Printed from https://ideas.repec.org/a/ibf/ijbfre/v6y2012i4p1-11.html
   My bibliography  Save this article

Volatility and Compounding Effects on Beta and Returns

Author

Listed:
  • William J. Trainor

Abstract

Previous research indicates that long-term investors are not compensated for beta or volatility risk. This study shows these two results are at least partly due to the mathematics of compounding exacerbated in high volatility markets. Theoretical beta portfolios defined to perform exactly as the Capital Asset Pricing Model (CAPM) would predict on a monthly basis, show that high beta portfolios dramatically outperform in low volatility environments and underperform in high volatility environments. Empirically sorted beta portfolios confirm the results and show in a low volatility environment, high beta portfolios outperform low beta portfolios by 0.42% a month and underperform by 0.51% in high volatility environments. When combining the two market environments, the inevitable result shows no relationship between beta and return.

Suggested Citation

  • 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.
    • Handle: RePEc:ibf:ijbfre:v:6:y:2012:i:4:p:1-11
    as

    Download full text from publisher

    File URL: http://www.theibfr2.com/RePEc/ibf/ijbfre/ijbfr-v6n4-2012/IJBFR-V6N4-2012-1.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. Andrew Ang & Robert J. Hodrick & Yuhang Xing & Xiaoyan Zhang, 2006. "The Cross‐Section of Volatility and Expected Returns," Journal of Finance, American Finance Association, vol. 61(1), pages 259-299, February.
    3. Mandelbrot, Benoit B, 1972. "Correction of an Error in "The Variation of Certain Speculative Prices" (1963)," The Journal of Business, University of Chicago Press, vol. 45(4), pages 542-543, October.
    4. Benoit Mandelbrot, 2015. "The Variation of Certain Speculative Prices," World Scientific Book Chapters, in: Anastasios G Malliaris & William T Ziemba (ed.), THE WORLD SCIENTIFIC HANDBOOK OF FUTURES MARKETS, chapter 3, pages 39-78, World Scientific Publishing Co. Pte. Ltd..
    5. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
    6. 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.
    7. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Chung-Han Hsieh & Jow-Ran Chang & Hui Hsiang Chen, 2025. "Compounding Effects in Leveraged ETFs: Beyond the Volatility Drag Paradigm," Papers 2504.20116, arXiv.org.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Bao, Te & Diks, Cees & Li, Hao, 2018. "A generalized CAPM model with asymmetric power distributed errors with an application to portfolio construction," Economic Modelling, Elsevier, vol. 68(C), pages 611-621.
    2. David Daewhan Cho, 2004. "Uncertainty in Second Moments: Implications for Portfolio Allocation," Econometric Society 2004 Far Eastern Meetings 433, Econometric Society.
    3. Desislava Chetalova & Thilo A. Schmitt & Rudi Schafer & Thomas Guhr, 2013. "Portfolio return distributions: Sample statistics with non-stationary correlations," Papers 1308.3961, arXiv.org, revised Jun 2014.
    4. DiTraglia, Francis J. & Gerlach, Jeffrey R., 2013. "Portfolio selection: An extreme value approach," Journal of Banking & Finance, Elsevier, vol. 37(2), pages 305-323.
    5. Goddard, John & Onali, Enrico, 2012. "Self-affinity in financial asset returns," International Review of Financial Analysis, Elsevier, vol. 24(C), pages 1-11.
    6. repec:adr:anecst:y:1991:i:24:p:01 is not listed on IDEAS
    7. Chabi-Yo, Fousseni & Ruenzi, Stefan & Weigert, Florian, 2018. "Crash Sensitivity and the Cross Section of Expected Stock Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 53(3), pages 1059-1100, June.
    8. Prasad, Mason & Bakry, Walid & Varua, Maria Estela, 2021. "Abnormal volatility in seasoned equity offerings during economic disruptions," Journal of Behavioral and Experimental Finance, Elsevier, vol. 30(C).
    9. Jovanovic, Franck & Schinckus, Christophe, 2017. "Econophysics and Financial Economics: An Emerging Dialogue," OUP Catalogue, Oxford University Press, number 9780190205034.
    10. He, Xue-Zhong & Li, Youwei, 2015. "Testing of a market fraction model and power-law behaviour in the DAX 30," Journal of Empirical Finance, Elsevier, vol. 31(C), pages 1-17.
    11. Franses,Philip Hans & Dijk,Dick van, 2000. "Non-Linear Time Series Models in Empirical Finance," Cambridge Books, Cambridge University Press, number 9780521779654, May.
    12. De Santis, Giorgio & imrohoroglu, Selahattin, 1997. "Stock returns and volatility in emerging financial markets," Journal of International Money and Finance, Elsevier, vol. 16(4), pages 561-579, August.
    13. Yueh-Neng Lin & Ken Hung, 2008. "Is Volatility Priced?," Annals of Economics and Finance, Society for AEF, vol. 9(1), pages 39-75, May.
    14. Phoebe Koundouri & Nikolaos Kourogenis & Nikitas Pittis, "undated". "Statistical Modeling of Stock Returns: Explanatory or Descriptive? A Historical Survey with Some Methodological Reflections," DEOS Working Papers 1331, Athens University of Economics and Business.
    15. Todd Prono, 2009. "Market proxies, correlation, and relative mean-variance efficiency: still living with the roll critique," Supervisory Research and Analysis Working Papers QAU09-3, Federal Reserve Bank of Boston.
    16. K. Giannopoulos, 1995. "Estimating the time Varying Components of international stock markets' risk," The European Journal of Finance, Taylor & Francis Journals, vol. 1(2), pages 129-164.
    17. 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.
    18. David D Cho, 2011. "Estimation risk in covariance," Journal of Asset Management, Palgrave Macmillan, vol. 12(4), pages 248-259, September.
    19. Joshua Odutola Omokehinde & Matthew Adeolu Abata & Olukayode Russell & Stephen Oseko Migiro & Christopher Somoye, 2017. "Asymmetric Information and Volatility of Stock Returns in Nigeria," Journal of Economics and Behavioral Studies, AMH International, vol. 9(3), pages 220-231.
    20. Viorica Chirilă & Ciprian Chirilă, 2012. "Relation Between Expected Return And Volatility At Bucharest Stock Exchange, On Business Cycle Stages," Annales Universitatis Apulensis Series Oeconomica, Faculty of Sciences, "1 Decembrie 1918" University, Alba Iulia, vol. 1(14), pages 1-13.
    21. Phoebe Koundouri & Nikolaos Kourogenis & Nikitas Pittis, "undated". "Statistical Modeling of Stock Returns: A Historical Survey with Methodological Reflections," DEOS Working Papers 1226, Athens University of Economics and Business.

    More about this item

    Keywords

    ;
    ;

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

    Statistics

    Access and download statistics

    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:ibf:ijbfre:v:6:y:2012:i:4:p:1-11. See general information about how to correct material in RePEc.

    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 bibliographic 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.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mercedes Jalbert The email address of this maintainer does not seem to be valid anymore. Please ask Mercedes Jalbert to update the entry or send us the correct address (email available below). General contact details of provider: .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.