IDEAS home Printed from https://ideas.repec.org/a/eee/finana/v78y2021ics1057521921002283.html
   My bibliography  Save this article

Value at risk, mispricing and expected returns

Author

Listed:
  • Yang, Baochen
  • Ma, Yao

Abstract

This study investigates how the relation between value-at-risk (VaR) and expected returns differs under different mispricing statuses. We find that a significantly negative VaR-return relation, defined as the VaR effect, is observed only for overpriced stocks, but not for underpriced stocks. Moreover, VaR has an amplification effect on mispricing, indicating that VaR captures risk that deters arbitrage and thus leads to an increase in mispricing. Our results are robust to alternative VaR definitions, subperiod analysis, different market states, and after controlling for other firm characteristics, well-known risk factors, and those variables that have been shown to have amplifying effects on mispricing. Finally, this study also examines the pricing effect of short sale constraints on the VaR effect under different mispricing statuses. Our findings suggest that the VaR effect observed in overpriced stocks becomes more severe as short sales are more constrained.

Suggested Citation

  • Yang, Baochen & Ma, Yao, 2021. "Value at risk, mispricing and expected returns," International Review of Financial Analysis, Elsevier, vol. 78(C).
    • Handle: RePEc:eee:finana:v:78:y:2021:i:c:s1057521921002283
    DOI: 10.1016/j.irfa.2021.101902
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1057521921002283
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.irfa.2021.101902?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. Asem, Ebenezer & Tian, Gloria Y., 2010. "Market Dynamics and Momentum Profits," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 45(6), pages 1549-1562, December.
    2. Eugene F. Fama & Kenneth R. French, 2008. "Dissecting Anomalies," Journal of Finance, American Finance Association, vol. 63(4), pages 1653-1678, August.
    3. Chen, Joseph & Hong, Harrison & Stein, Jeremy C., 2002. "Breadth of ownership and stock returns," Journal of Financial Economics, Elsevier, vol. 66(2-3), pages 171-205.
    4. Avramov, Doron & Chordia, Tarun & Jostova, Gergana & Philipov, Alexander, 2013. "Anomalies and financial distress," Journal of Financial Economics, Elsevier, vol. 108(1), pages 139-159.
    5. De Long, J Bradford & Andrei Shleifer & Lawrence H. Summers & Robert J. Waldmann, 1990. "Noise Trader Risk in Financial Markets," Journal of Political Economy, University of Chicago Press, vol. 98(4), pages 703-738, August.
    6. 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.
    7. 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.
    8. Kim, Dongcheol & Lee, Inro & Na, Haejung, 2019. "Financial distress, short sale constraints, and mispricing," Pacific-Basin Finance Journal, Elsevier, vol. 53(C), pages 94-111.
    9. Amihud, Yakov, 2002. "Illiquidity and stock returns: cross-section and time-series effects," Journal of Financial Markets, Elsevier, vol. 5(1), pages 31-56, January.
    10. Fama, Eugene F. & French, Kenneth R., 2015. "A five-factor asset pricing model," Journal of Financial Economics, Elsevier, vol. 116(1), pages 1-22.
    11. Kewei Hou & Chen Xue & Lu Zhang, 2020. "Replicating Anomalies," The Review of Financial Studies, Society for Financial Studies, vol. 33(5), pages 2019-2133.
    12. Cathy Yi†Hsuan Chen & Thomas C. Chiang, 2016. "Empirical Analysis of the Intertemporal Relationship between Downside Risk and Expected Returns: Evidence from Time†varying Transition Probability Models," European Financial Management, European Financial Management Association, vol. 22(5), pages 749-796, November.
    13. Liu, Jianan & Stambaugh, Robert F. & Yuan, Yu, 2019. "Size and value in China," Journal of Financial Economics, Elsevier, vol. 134(1), pages 48-69.
    14. 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.
    15. Au, Andrea S. & Doukas, John A. & Onayev, Zhan, 2009. "Daily short interest, idiosyncratic risk, and stock returns," Journal of Financial Markets, Elsevier, vol. 12(2), pages 290-316, May.
    16. Bi, Jia & Zhu, Yifeng, 2020. "Value at risk, cross-sectional returns and the role of investor sentiment," Journal of Empirical Finance, Elsevier, vol. 56(C), pages 1-18.
    17. Avramov, Doron & Chordia, Tarun & Jostova, Gergana & Philipov, Alexander, 2009. "Credit ratings and the cross-section of stock returns," Journal of Financial Markets, Elsevier, vol. 12(3), pages 469-499, August.
    18. Jiang, Fuwei & Qi, Xinlin & Tang, Guohao, 2018. "Q-theory, mispricing, and profitability premium: Evidence from China," Journal of Banking & Finance, Elsevier, vol. 87(C), pages 135-149.
    19. 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.
    20. Ritter, Jay R, 1991. "The Long-run Performance of Initial Public Offerings," Journal of Finance, American Finance Association, vol. 46(1), pages 3-27, March.
    21. Gu, Ming & Kang, Wenjin & Xu, Bu, 2018. "Limits of arbitrage and idiosyncratic volatility: Evidence from China stock market," Journal of Banking & Finance, Elsevier, vol. 86(C), pages 240-258.
    22. Simon Gervais & Ron Kaniel & Dan H. Mingelgrin, 2001. "The High‐Volume Return Premium," Journal of Finance, American Finance Association, vol. 56(3), pages 877-919, June.
    23. Ronnie Sadka & Anna Scherbina, 2007. "Analyst Disagreement, Mispricing, and Liquidity," Journal of Finance, American Finance Association, vol. 62(5), pages 2367-2403, October.
    24. Atilgan, Yigit & Bali, Turan G. & Demirtas, K. Ozgur & Gunaydin, A. Doruk, 2020. "Left-tail momentum: Underreaction to bad news, costly arbitrage and equity returns," Journal of Financial Economics, Elsevier, vol. 135(3), pages 725-753.
    25. 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.
    26. Novy-Marx, Robert, 2013. "The other side of value: The gross profitability premium," Journal of Financial Economics, Elsevier, vol. 108(1), pages 1-28.
    27. Carhart, Mark M, 1997. "On Persistence in Mutual Fund Performance," Journal of Finance, American Finance Association, vol. 52(1), pages 57-82, March.
    28. Jegadeesh, Narasimhan, 1990. "Evidence of Predictable Behavior of Security Returns," Journal of Finance, American Finance Association, vol. 45(3), pages 881-898, July.
    29. Jarrow, Robert A, 1980. "Heterogeneous Expectations, Restrictions on Short Sales, and Equilibrium Asset Prices," Journal of Finance, American Finance Association, vol. 35(5), pages 1105-1113, December.
    30. Miller, Edward M, 1977. "Risk, Uncertainty, and Divergence of Opinion," Journal of Finance, American Finance Association, vol. 32(4), pages 1151-1168, September.
    31. Loughran, Tim & Ritter, Jay R, 1995. "The New Issues Puzzle," Journal of Finance, American Finance Association, vol. 50(1), pages 23-51, March.
    32. 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.
    33. Jeffrey Pontiff, 1996. "Costly Arbitrage: Evidence from Closed-End Funds," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 111(4), pages 1135-1151.
    34. Cao, Jie & Han, Bing, 2016. "Idiosyncratic risk, costly arbitrage, and the cross-section of stock returns," Journal of Banking & Finance, Elsevier, vol. 73(C), pages 1-15.
    35. Cheema, Muhammad A. & Nartea, Gilbert V., 2017. "Momentum, idiosyncratic volatility and market dynamics: Evidence from China," Pacific-Basin Finance Journal, Elsevier, vol. 46(PA), pages 109-123.
    36. Eugene F. Fama & Kenneth R. French, 2016. "Dissecting Anomalies with a Five-Factor Model," The Review of Financial Studies, Society for Financial Studies, vol. 29(1), pages 69-103.
    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. Li, Wencong & Yang, Xingquan & Yin, Xingqiang, 2022. "Non-state shareholders entering of state-owned enterprises and equity mispricing: Evidence from China," International Review of Financial Analysis, Elsevier, vol. 84(C).
    2. Zaevski, Tsvetelin S. & Nedeltchev, Dragomir C., 2023. "From BASEL III to BASEL IV and beyond: Expected shortfall and expectile risk measures," International Review of Financial Analysis, Elsevier, vol. 87(C).
    3. Eom, Cheoljun & Eom, Yunsung & Park, Jong Won, 2023. "Left-tail momentum and tail properties of return distributions: A case of Korea," International Review of Financial Analysis, Elsevier, vol. 87(C).
    4. Wang, Chen & Xiong, Xiong & Shen, Dehua, 2022. "Tail risks, firm characteristics, and stock returns," Pacific-Basin Finance Journal, Elsevier, vol. 75(C).

    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. Kim, Dongcheol & Lee, Inro & Na, Haejung, 2019. "Financial distress, short sale constraints, and mispricing," Pacific-Basin Finance Journal, Elsevier, vol. 53(C), pages 94-111.
    2. 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.
    3. Jacobs, Heiko, 2015. "What explains the dynamics of 100 anomalies?," Journal of Banking & Finance, Elsevier, vol. 57(C), pages 65-85.
    4. Doron Avramov & Guy Kaplanski & Avanidhar Subrahmanyam, 2022. "Postfundamentals Price Drift in Capital Markets: A Regression Regularization Perspective," Management Science, INFORMS, vol. 68(10), pages 7658-7681, October.
    5. Robert F. Stambaugh & Yu Yuan, 2017. "Mispricing Factors," The Review of Financial Studies, Society for Financial Studies, vol. 30(4), pages 1270-1315.
    6. Yang, Baochen & Ye, Tao & Ma, Yao, 2022. "Financing anomaly, mispricing and cross-sectional return predictability," International Review of Economics & Finance, Elsevier, vol. 79(C), pages 579-598.
    7. Cakici, Nusret & Zaremba, Adam, 2022. "Salience theory and the cross-section of stock returns: International and further evidence," Journal of Financial Economics, Elsevier, vol. 146(2), pages 689-725.
    8. Zhong, Angel, 2018. "Idiosyncratic volatility in the Australian equity market," Pacific-Basin Finance Journal, Elsevier, vol. 50(C), pages 105-125.
    9. Adam Zaremba & Jacob Koby Shemer, 2018. "Price-Based Investment Strategies," Springer Books, Springer, number 978-3-319-91530-2, September.
    10. Lu Zhang, 2017. "The Investment CAPM," European Financial Management, European Financial Management Association, vol. 23(4), pages 545-603, September.
    11. Xin Chen & Wei He & Libin Tao & Jianfeng Yu, 2023. "Attention and Underreaction-Related Anomalies," Management Science, INFORMS, vol. 69(1), pages 636-659, January.
    12. Hanauer, Matthias X. & Kalsbach, Tobias, 2023. "Machine learning and the cross-section of emerging market stock returns," Emerging Markets Review, Elsevier, vol. 55(C).
    13. Kewei Hou & Chen Xue & Lu Zhang, 2017. "Replicating Anomalies," NBER Working Papers 23394, National Bureau of Economic Research, Inc.
    14. Cakici, Nusret & Zaremba, Adam, 2023. "Recency bias and the cross-section of international stock returns," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 84(C).
    15. Sun, Kaisi & Wang, Hui & Zhu, Yifeng, 2023. "Salience theory in price and trading volume: Evidence from China," Journal of Empirical Finance, Elsevier, vol. 70(C), pages 38-61.
    16. Mateus, Irina B. & Mateus, Cesario & Todorovic, Natasa, 2019. "Review of new trends in the literature on factor models and mutual fund performance," International Review of Financial Analysis, Elsevier, vol. 63(C), pages 344-354.
    17. Doron Avramov & Si Cheng & Allaudeen Hameed, 2020. "Mutual Funds and Mispriced Stocks," Management Science, INFORMS, vol. 66(6), pages 2372-2395, June.
    18. Bartram, Söhnke M. & Grinblatt, Mark, 2018. "Agnostic fundamental analysis works," Journal of Financial Economics, Elsevier, vol. 128(1), pages 125-147.
    19. 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.
    20. Ma, Yao & Yang, Baochen & Su, Yunpeng, 2021. "Stock return predictability: Evidence from moving averages of trading volume," Pacific-Basin Finance Journal, Elsevier, vol. 65(C).

    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:finana:v:78:y:2021:i:c:s1057521921002283. 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/620166 .

    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.