IDEAS home Printed from https://ideas.repec.org/a/eee/jfinec/v165y2025ics0304405x25000029.html
   My bibliography  Save this article

The volatility puzzle of the beta anomaly

Author

Listed:
  • Barroso, Pedro
  • Detzel, Andrew
  • Maio, Paulo

Abstract

This paper shows that leading theories of the beta anomaly fail to explain the anomaly’s conditional performance. Abnormal returns and Sharpe ratios of betting-against-beta (BAB) factors rise following months with below-median realized volatility, even controlling for mispricing, limits to arbitrage, lottery preferences, analyst disagreement, and sentiment. Moreover, the leverage constraints theory counterfactually predicts that market and BAB Sharpe ratios increase with volatility. We further show that institutional investors shift their demand from high- to low-beta stocks as volatility increases, and the resulting price impact is sufficient to explain the difference in abnormal BAB returns between high- and low-volatility states.

Suggested Citation

  • Barroso, Pedro & Detzel, Andrew & Maio, Paulo, 2025. "The volatility puzzle of the beta anomaly," Journal of Financial Economics, Elsevier, vol. 165(C).
  • Handle: RePEc:eee:jfinec:v:165:y:2025:i:c:s0304405x25000029
    DOI: 10.1016/j.jfineco.2025.103994
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304405X25000029
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.jfineco.2025.103994?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    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. Antoniou, Constantinos & Doukas, John A. & Subrahmanyam, Avanidhar, 2013. "Cognitive Dissonance, Sentiment, and Momentum," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 48(1), pages 245-275, February.
    2. Shanken, Jay, 1992. "The Current State of the Arbitrage Pricing Theory," Journal of Finance, American Finance Association, vol. 47(4), pages 1569-1574, September.
    3. Marquering, Wessel & Verbeek, Marno, 2004. "The Economic Value of Predicting Stock Index Returns and Volatility," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 39(2), pages 407-429, June.
    4. 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.
    5. John H. Cochrane & Jesus Saa-Requejo, 2000. "Beyond Arbitrage: Good-Deal Asset Price Bounds in Incomplete Markets," Journal of Political Economy, University of Chicago Press, vol. 108(1), pages 79-119, February.
    6. Doukas, John A. & Kim, Chansog (Francis) & Pantzalis, Christos, 2010. "Arbitrage Risk and Stock Mispricing," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 45(4), pages 907-934, August.
    7. Bali, Turan G. & Cakici, Nusret & Whitelaw, Robert F., 2011. "Maxing out: Stocks as lotteries and the cross-section of expected returns," Journal of Financial Economics, Elsevier, vol. 99(2), pages 427-446, February.
    8. Douglas T. Breeden & Michael R Gibbons & Robert H. Litzenberger, "undated". "Empirical Tests of the Consumption-Oriented CAPM," Rodney L. White Center for Financial Research Working Papers 07-89, Wharton School Rodney L. White Center for Financial Research.
    9. Malcolm Baker & Jeffrey Wurgler, 2007. "Investor Sentiment in the Stock Market," Journal of Economic Perspectives, American Economic Association, vol. 21(2), pages 129-152, Spring.
    10. Tim A. Kroencke, 2017. "Asset Pricing without Garbage," Journal of Finance, American Finance Association, vol. 72(1), pages 47-98, February.
    11. John Y. Campbell, Robert J. Shiller, 1988. "The Dividend-Price Ratio and Expectations of Future Dividends and Discount Factors," The Review of Financial Studies, Society for Financial Studies, vol. 1(3), pages 195-228.
    12. Hirshleifer, David & Kewei Hou & Teoh, Siew Hong & Yinglei Zhang, 2004. "Do investors overvalue firms with bloated balance sheets?," Journal of Accounting and Economics, Elsevier, vol. 38(1), pages 297-331, December.
    13. Frazzini, Andrea & Pedersen, Lasse Heje, 2014. "Betting against beta," Journal of Financial Economics, Elsevier, vol. 111(1), pages 1-25.
    14. Stephen A. Ross, 2013. "The Arbitrage Theory of Capital Asset Pricing," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 1, pages 11-30, World Scientific Publishing Co. Pte. Ltd..
    15. Constantinos Antoniou & John A. Doukas & Avanidhar Subrahmanyam, 2016. "Investor Sentiment, Beta, and the Cost of Equity Capital," Management Science, INFORMS, vol. 62(2), pages 347-367, February.
    16. Michael J. Cooper & Huseyin Gulen & Michael J. Schill, 2008. "Asset Growth and the Cross‐Section of Stock Returns," Journal of Finance, American Finance Association, vol. 63(4), pages 1609-1651, August.
    17. Friend, Irwin & Blume, Marshall E, 1970. "Measurement of Portfolio Performance Under Uncertainty," American Economic Review, American Economic Association, vol. 60(4), pages 561-575, September.
    18. Tobias Adrian & Erkko Etula & Tyler Muir, 2014. "Financial Intermediaries and the Cross-Section of Asset Returns," Journal of Finance, American Finance Association, vol. 69(6), pages 2557-2596, December.
    19. Malcolm Baker & Brendan Bradley & Jeffrey Wurgler, 2011. "Benchmarks as Limits to Arbitrage: Understanding the Low-Volatility Anomaly," Financial Analysts Journal, Taylor & Francis Journals, vol. 67(1), pages 40-54, January.
    20. repec:bla:jfinan:v:44:y:1989:i:2:p:231-62 is not listed on IDEAS
    21. 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.
    22. Conrad, Jennifer & Kapadia, Nishad & Xing, Yuhang, 2014. "Death and jackpot: Why do individual investors hold overpriced stocks?," Journal of Financial Economics, Elsevier, vol. 113(3), pages 455-475.
    23. VICTOR DeMIGUEL & ALBERTO MARTÍN‐UTRERA & RAMAN UPPAL, 2024. "A Multifactor Perspective on Volatility‐Managed Portfolios," Journal of Finance, American Finance Association, vol. 79(6), pages 3859-3891, December.
    24. Asness, Cliff & Frazzini, Andrea & Gormsen, Niels Joachim & Pedersen, Lasse Heje, 2020. "Betting against correlation: Testing theories of the low-risk effect," Journal of Financial Economics, Elsevier, vol. 135(3), pages 629-652.
    25. Robert F. Stambaugh & Jianfeng Yu & Yu Yuan, 2015. "Arbitrage Asymmetry and the Idiosyncratic Volatility Puzzle," Journal of Finance, American Finance Association, vol. 70(5), pages 1903-1948, October.
    26. Ivo Welch, 2022. "Simply Better Market Betas," Critical Finance Review, now publishers, vol. 11(1), pages 37-64, February.
    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. Xing Han, 2022. "Understanding the Performance of Components in Betting Against Beta," Critical Finance Review, now publishers, vol. 11(1), pages 1-36, February.
    29. Stefan Nagel & Kenneth J. Singleton, 2011. "Estimation and Evaluation of Conditional Asset Pricing Models," Journal of Finance, American Finance Association, vol. 66(3), pages 873-909, June.
    30. Alok Kumar, 2009. "Who Gambles in the Stock Market?," Journal of Finance, American Finance Association, vol. 64(4), pages 1889-1933, August.
    31. Ang, Andrew, 2014. "Asset Management: A Systematic Approach to Factor Investing," OUP Catalogue, Oxford University Press, number 9780199959327, Decembrie.
    32. Stambaugh, Robert F. & Yu, Jianfeng & Yuan, Yu, 2012. "The short of it: Investor sentiment and anomalies," Journal of Financial Economics, Elsevier, vol. 104(2), pages 288-302.
    33. Fama, Eugene F & French, Kenneth R, 1996. "Multifactor Explanations of Asset Pricing Anomalies," Journal of Finance, American Finance Association, vol. 51(1), pages 55-84, March.
    34. Jobson, J D & Korkie, Bob M, 1981. "Performance Hypothesis Testing with the Sharpe and Treynor Measures," Journal of Finance, American Finance Association, vol. 36(4), pages 889-908, September.
    35. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    36. Campbell, John Y & Ammer, John, 1993. "What Moves the Stock and Bond Markets? A Variance Decomposition for Long-Term Asset Returns," Journal of Finance, American Finance Association, vol. 48(1), pages 3-37, March.
    37. Andrew Ellul & Chotibhak Jotikasthira & Anastasia Kartasheva & Christian T Lundblad & Wolf Wagner, 2022. "Insurers as Asset Managers and Systemic Risk," The Review of Financial Studies, Society for Financial Studies, vol. 35(12), pages 5483-5534.
    38. Jegadeesh, Narasimhan & Titman, Sheridan, 1993. "Returns to Buying Winners and Selling Losers: Implications for Stock Market Efficiency," Journal of Finance, American Finance Association, vol. 48(1), pages 65-91, March.
    39. Kirby, Chris & Ostdiek, Barbara, 2012. "It’s All in the Timing: Simple Active Portfolio Strategies that Outperform Naïve Diversification," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 47(2), pages 437-467, April.
    40. Susan E. K. Christoffersen & Mikhail Simutin, 2017. "On the Demand for High-Beta Stocks: Evidence from Mutual Funds," The Review of Financial Studies, Society for Financial Studies, vol. 30(8), pages 2596-2620.
    41. Novy-Marx, Robert, 2013. "The other side of value: The gross profitability premium," Journal of Financial Economics, Elsevier, vol. 108(1), pages 1-28.
    42. Robert A. Levy, 1967. "Relative Strength As A Criterion For Investment Selection," Journal of Finance, American Finance Association, vol. 22(4), pages 595-610, December.
    43. Barroso, Pedro & Detzel, Andrew, 2021. "Do limits to arbitrage explain the benefits of volatility-managed portfolios?," Journal of Financial Economics, Elsevier, vol. 140(3), pages 744-767.
    44. Del Guercio, Diane, 1996. "The distorting effect of the prudent-man laws on institutional equity investments," Journal of Financial Economics, Elsevier, vol. 40(1), pages 31-62, January.
    45. John H. Cochrane, 2011. "Presidential Address: Discount Rates," Journal of Finance, American Finance Association, vol. 66(4), pages 1047-1108, August.
    46. Liu, Jianan & Stambaugh, Robert F. & Yuan, Yu, 2018. "Absolving beta of volatility’s effects," Journal of Financial Economics, Elsevier, vol. 128(1), pages 1-15.
    47. Ralph S. J. Koijen & Motohiro Yogo, 2019. "A Demand System Approach to Asset Pricing," Journal of Political Economy, University of Chicago Press, vol. 127(4), pages 1475-1515.
    48. Jeff Fleming & Chris Kirby & Barbara Ostdiek, 2001. "The Economic Value of Volatility Timing," Journal of Finance, American Finance Association, vol. 56(1), pages 329-352, February.
    49. Carhart, Mark M, 1997. "On Persistence in Mutual Fund Performance," Journal of Finance, American Finance Association, vol. 52(1), pages 57-82, March.
    50. Scott Cederburg & Michael S. O'Doherty, 2016. "Does It Pay to Bet Against Beta? On the Conditional Performance of the Beta Anomaly," Journal of Finance, American Finance Association, vol. 71(2), pages 737-774, April.
    51. Novy-Marx, Robert & Velikov, Mihail, 2022. "Betting against betting against beta," Journal of Financial Economics, Elsevier, vol. 143(1), pages 80-106.
    52. Ohlson, Ja, 1980. "Financial Ratios And The Probabilistic Prediction Of Bankruptcy," Journal of Accounting Research, Wiley Blackwell, vol. 18(1), pages 109-131.
    53. McLean, R. David, 2010. "Idiosyncratic Risk, Long-Term Reversal, and Momentum," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 45(4), pages 883-906, August.
    54. Bali, Turan G. & Brown, Stephen J. & Murray, Scott & Tang, Yi, 2017. "A Lottery-Demand-Based Explanation of the Beta Anomaly," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 52(6), pages 2369-2397, December.
    55. Shleifer, Andrei & Vishny, Robert W, 1997. "The Limits of Arbitrage," Journal of Finance, American Finance Association, vol. 52(1), pages 35-55, March.
    56. Merton, Robert C, 1973. "An Intertemporal Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 41(5), pages 867-887, September.
    57. Shanken, Jay, 1990. "Intertemporal asset pricing : An Empirical Investigation," Journal of Econometrics, Elsevier, vol. 45(1-2), pages 99-120.
    58. Loughran, Tim & Ritter, Jay R, 1995. "The New Issues Puzzle," Journal of Finance, American Finance Association, vol. 50(1), pages 23-51, March.
    59. 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.
    60. Barroso, Pedro & Santa-Clara, Pedro, 2015. "Momentum has its moments," Journal of Financial Economics, Elsevier, vol. 116(1), pages 111-120.
    61. Boguth, Oliver & Simutin, Mikhail, 2018. "Leverage constraints and asset prices: Insights from mutual fund risk taking," Journal of Financial Economics, Elsevier, vol. 127(2), pages 325-341.
    62. Li, Dongmei & Zhang, Lu, 2010. "Does q-theory with investment frictions explain anomalies in the cross section of returns?," Journal of Financial Economics, Elsevier, vol. 98(2), pages 297-314, November.
    63. 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.
    64. Titman, Sheridan & Wei, K. C. John & Xie, Feixue, 2004. "Capital Investments and Stock Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 39(4), pages 677-700, December.
    65. Pontiff, Jeffrey, 2006. "Costly arbitrage and the myth of idiosyncratic risk," Journal of Accounting and Economics, Elsevier, vol. 42(1-2), pages 35-52, October.
    66. Cederburg, Scott & O’Doherty, Michael S. & Wang, Feifei & Yan, Xuemin (Sterling), 2020. "On the performance of volatility-managed portfolios," Journal of Financial Economics, Elsevier, vol. 138(1), pages 95-117.
    67. Mashruwala, Christina & Rajgopal, Shivaram & Shevlin, Terry, 2006. "Why is the accrual anomaly not arbitraged away? The role of idiosyncratic risk and transaction costs," Journal of Accounting and Economics, Elsevier, vol. 42(1-2), pages 3-33, October.
    68. Zhongjin Lu & Zhongling Qin, 2021. "Leveraged Funds and the Shadow Cost of Leverage Constraints," Journal of Finance, American Finance Association, vol. 76(3), pages 1295-1338, June.
    69. Vasicek, Oldrich A, 1973. "A Note on Using Cross-Sectional Information in Bayesian Estimation of Security Betas," Journal of Finance, American Finance Association, vol. 28(5), pages 1233-1239, December.
    70. Serhiy Kozak & Stefan Nagel & Shrihari Santosh, 2018. "Interpreting Factor Models," Journal of Finance, American Finance Association, vol. 73(3), pages 1183-1223, June.
    71. Douglas T. Breeden & Michael R Gibbons & Robert H. Litzenberger, "undated". "Empirical Tests of the Consumption-Oriented CAPM," Rodney L. White Center for Financial Research Working Papers 7-89, Wharton School Rodney L. White Center for Financial Research.
    72. Barroso, Pedro & Maio, Paulo, 2024. "The risk–return tradeoff among equity factors," Journal of Empirical Finance, Elsevier, vol. 78(C).
    73. Fama, Eugene F. & French, Kenneth R., 2006. "Profitability, investment and average returns," Journal of Financial Economics, Elsevier, vol. 82(3), pages 491-518, December.
    74. Assaf Eisdorfer & Efdal Ulas Misirli, 2020. "Distressed Stocks in Distressed Times," Management Science, INFORMS, vol. 66(6), pages 2452-2473, June.
    75. Alan Moreira & Tyler Muir, 2017. "Volatility-Managed Portfolios," Journal of Finance, American Finance Association, vol. 72(4), pages 1611-1644, August.
    76. Fleming, Jeff & Kirby, Chris & Ostdiek, Barbara, 2003. "The economic value of volatility timing using "realized" volatility," Journal of Financial Economics, Elsevier, vol. 67(3), pages 473-509, March.
    77. Black, Fischer, 1972. "Capital Market Equilibrium with Restricted Borrowing," The Journal of Business, University of Chicago Press, vol. 45(3), pages 444-455, July.
    Full references (including those not matched with items on IDEAS)

    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. Jacobs, Heiko, 2015. "What explains the dynamics of 100 anomalies?," Journal of Banking & Finance, Elsevier, vol. 57(C), pages 65-85.
    2. Wang, Feifei & Yan, Xuemin Sterling, 2021. "Downside risk and the performance of volatility-managed portfolios," Journal of Banking & Finance, Elsevier, vol. 131(C).
    3. Barroso, Pedro & Detzel, Andrew, 2021. "Do limits to arbitrage explain the benefits of volatility-managed portfolios?," Journal of Financial Economics, Elsevier, vol. 140(3), pages 744-767.
    4. Robert F. Stambaugh & Yu Yuan, 2017. "Mispricing Factors," The Review of Financial Studies, Society for Financial Studies, vol. 30(4), pages 1270-1315.
    5. Cederburg, Scott & O’Doherty, Michael S. & Wang, Feifei & Yan, Xuemin (Sterling), 2020. "On the performance of volatility-managed portfolios," Journal of Financial Economics, Elsevier, vol. 138(1), pages 95-117.
    6. Adam Zaremba & Jacob Koby Shemer, 2018. "Price-Based Investment Strategies," Springer Books, Springer, number 978-3-319-91530-2, March.
    7. Stefan Nagel, 2013. "Empirical Cross-Sectional Asset Pricing," Annual Review of Financial Economics, Annual Reviews, vol. 5(1), pages 167-199, November.
    8. Amit Goyal, 2012. "Empirical cross-sectional asset pricing: a survey," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 26(1), pages 3-38, March.
    9. Lu Zhang, 2017. "The Investment CAPM," European Financial Management, European Financial Management Association, vol. 23(4), pages 545-603, September.
    10. Xu, Xia, 2025. "Market neutrality and beta crashes," Journal of Empirical Finance, Elsevier, vol. 80(C).
    11. Kwon, Kyung Yoon & Min, Byoung-Kyu & Sun, Chenfei, 2022. "Enhancing the profitability of lottery strategies," Journal of Empirical Finance, Elsevier, vol. 69(C), pages 166-184.
    12. Khasawneh, Maher & McMillan, David G. & Kambouroudis, Dimos, 2024. "Left-tail risk and UK stock return predictability: Underreaction, overreaction, and arbitrage difficulties," International Review of Financial Analysis, Elsevier, vol. 95(PA).
    13. Jang, Jeewon & Kang, Jangkoo, 2019. "Probability of price crashes, rational speculative bubbles, and the cross-section of stock returns," Journal of Financial Economics, Elsevier, vol. 132(1), pages 222-247.
    14. Joshua Traut, 2023. "What we know about the low-risk anomaly: a literature review," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 37(3), pages 297-324, September.
    15. Nguyen, Hung T. & Pham, Mia Hang, 2021. "Air pollution and behavioral biases: Evidence from stock market anomalies," Journal of Behavioral and Experimental Finance, Elsevier, vol. 29(C).
    16. Cederburg, Scott & O’Doherty, Michael S., 2015. "Asset-pricing anomalies at the firm level," Journal of Econometrics, Elsevier, vol. 186(1), pages 113-128.
    17. Hou, Kewei & Xue, Chen & Zhang, Lu, 2017. "Replicating Anomalies," Working Paper Series 2017-10, Ohio State University, Charles A. Dice Center for Research in Financial Economics.
    18. Doron Avramov & Si Cheng & Allaudeen Hameed, 2020. "Mutual Funds and Mispriced Stocks," Management Science, INFORMS, vol. 66(6), pages 2372-2395, June.
    19. Clarke, Charles, 2022. "The level, slope, and curve factor model for stocks," Journal of Financial Economics, Elsevier, vol. 143(1), pages 159-187.
    20. Calvet, Laurent E. & Betermier, Sebastien & Jo, Evan, 2019. "A Supply and Demand Approach to Equity Pricing," CEPR Discussion Papers 13974, C.E.P.R. Discussion Papers.

    More about this item

    Keywords

    Betting-against-beta; Time-varying risk; Realized volatility; Risk factors; Scaled factors; Anomalies; Lottery preferences; Leverage constraints;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G17 - Financial Economics - - General Financial Markets - - - Financial Forecasting and Simulation

    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:eee:jfinec:v:165:y:2025:i:c:s0304405x25000029. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/505576 .

    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.