IDEAS home Printed from https://ideas.repec.org/a/bla/jfinan/v77y2022i2p1055-1096.html
   My bibliography  Save this article

Volatility Expectations and Returns

Author

Listed:
  • LARS A. LOCHSTOER
  • TYLER MUIR

Abstract

We provide evidence that agents have slow‐moving beliefs about stock market volatility that lead to initial underreaction to volatility shocks followed by delayed overreaction. These dynamics are mirrored in the VIX and variance risk premiums, which reflect investor expectations about volatility, and are also supported in both surveys and firm‐level option prices. We embed these expectations into an asset pricing model and find that the model can account for a number of stylized facts about market returns and return volatility that are difficult to reconcile, including a weak or even negative risk‐return trade‐off.

Suggested Citation

  • Lars A. Lochstoer & Tyler Muir, 2022. "Volatility Expectations and Returns," Journal of Finance, American Finance Association, vol. 77(2), pages 1055-1096, April.
    • Handle: RePEc:bla:jfinan:v:77:y:2022:i:2:p:1055-1096
    DOI: 10.1111/jofi.13120
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/jofi.13120
    Download Restriction: no
    File URL: https://libkey.io/10.1111/jofi.13120?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
    ---><---

    References listed on IDEAS

    as
    1. Bollerslev, Tim & Todorov, Viktor & Xu, Lai, 2015. "Tail risk premia and return predictability," Journal of Financial Economics, Elsevier, vol. 118(1), pages 113-134.
    2. Jean‐Philippe Bouchaud & Philipp Krüger & Augustin Landier & David Thesmar, 2019. "Sticky Expectations and the Profitability Anomaly," Journal of Finance, American Finance Association, vol. 74(2), pages 639-674, April.
    3. Andreas Fuster & Benjamin Hebert & David Laibson, 2012. "Natural Expectations, Macroeconomic Dynamics, and Asset Pricing," NBER Macroeconomics Annual, University of Chicago Press, vol. 26(1), pages 1-48.
    4. Bansal, Ravi & Kiku, Dana & Yaron, Amir, 2016. "Risks for the long run: Estimation with time aggregation," Journal of Monetary Economics, Elsevier, vol. 82(C), pages 52-69.
    5. Ian W. R. Martin & Christian Wagner, 2019. "What Is the Expected Return on a Stock?," Journal of Finance, American Finance Association, vol. 74(4), pages 1887-1929, August.
    6. Tim Bollerslev & George Tauchen & Hao Zhou, 2009. "Expected Stock Returns and Variance Risk Premia," The Review of Financial Studies, Society for Financial Studies, vol. 22(11), pages 4463-4492, November.
    7. N. Gregory Mankiw & Ricardo Reis, 2002. "Sticky Information versus Sticky Prices: A Proposal to Replace the New Keynesian Phillips Curve," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(4), pages 1295-1328.
    8. Pedro Bordalo & Nicola Gennaioli & Yueran Ma & Andrei Shleifer, 2020. "Overreaction in Macroeconomic Expectations," American Economic Review, American Economic Association, vol. 110(9), pages 2748-2782, September.
    9. Hao Zhou, 2018. "Variance Risk Premia, Asset Predictability Puzzles, and Macroeconomic Uncertainty," Annual Review of Financial Economics, Annual Reviews, vol. 10(1), pages 481-497, November.
    10. Bollerslev, Tim & Marrone, James & Xu, Lai & Zhou, Hao, 2014. "Stock Return Predictability and Variance Risk Premia: Statistical Inference and International Evidence," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 49(3), pages 633-661, June.
    11. Dew-Becker, Ian & Giglio, Stefano & Le, Anh & Rodriguez, Marius, 2017. "The price of variance risk," Journal of Financial Economics, Elsevier, vol. 123(2), pages 225-250.
    12. Zhengyang Jiang & Arvind Krishnamurthy & Hanno Lustig, 2021. "Foreign Safe Asset Demand and the Dollar Exchange Rate," Journal of Finance, American Finance Association, vol. 76(3), pages 1049-1089, June.
    13. Stefan Nagel & Zhengyang Xu, 2022. "Asset Pricing with Fading Memory," The Review of Financial Studies, Society for Financial Studies, vol. 35(5), pages 2190-2245.
    14. Larry G. Epstein & Stanley E. Zin, 2013. "Substitution, risk aversion and the temporal behavior of consumption and asset returns: A theoretical framework," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 12, pages 207-239, World Scientific Publishing Co. Pte. Ltd..
    15. Zhiguo He & Arvind Krishnamurthy, 2013. "Intermediary Asset Pricing," American Economic Review, American Economic Association, vol. 103(2), pages 732-770, April.
    16. 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.
    17. repec:bla:jfinan:v:53:y:1998:i:6:p:1839-1885 is not listed on IDEAS
    18. Bekaert, Geert & Hoerova, Marie, 2014. "The VIX, the variance premium and stock market volatility," Journal of Econometrics, Elsevier, vol. 183(2), pages 181-192.
    19. Pierre Collin-Dufresne & Michael Johannes & Lars A. Lochstoer, 2013. "Asset Pricing When 'This Time is Different'," Swiss Finance Institute Research Paper Series 13-73, Swiss Finance Institute, revised Jan 2016.
    20. John Y. Campbell & John Cochrane, 1999. "Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," Journal of Political Economy, University of Chicago Press, vol. 107(2), pages 205-251, April.
    21. Glosten, Lawrence R & Jagannathan, Ravi & Runkle, David E, 1993. "On the Relation between the Expected Value and the Volatility of the Nominal Excess Return on Stocks," Journal of Finance, American Finance Association, vol. 48(5), pages 1779-1801, December.
    22. Stambaugh, Robert F., 1999. "Predictive regressions," Journal of Financial Economics, Elsevier, vol. 54(3), pages 375-421, December.
    23. Robert J. Barro, 2006. "Rare Disasters and Asset Markets in the Twentieth Century," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(3), pages 823-866.
    24. Ulrike Malmendier & Stefan Nagel, 2011. "Depression Babies: Do Macroeconomic Experiences Affect Risk Taking?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 126(1), pages 373-416.
    25. Stefano Giglio & Matteo Maggiori & Johannes Stroebel & Stephen Utkus, 2021. "Five Facts about Beliefs and Portfolios," American Economic Review, American Economic Association, vol. 111(5), pages 1481-1522, May.
    26. Francis A. Longstaff & Jiang Wang, 2012. "Asset Pricing and the Credit Market," The Review of Financial Studies, Society for Financial Studies, vol. 25(11), pages 3169-3215.
    27. Barberis, Nicholas & Shleifer, Andrei & Vishny, Robert, 1998. "A model of investor sentiment," Journal of Financial Economics, Elsevier, vol. 49(3), pages 307-343, September.
    28. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    29. Nicolae Gârleanu & Stavros Panageas, 2015. "Young, Old, Conservative, and Bold: The Implications of Heterogeneity and Finite Lives for Asset Pricing," Journal of Political Economy, University of Chicago Press, vol. 123(3), pages 670-685.
    30. Robin Greenwood & Andrei Shleifer, 2014. "Expectations of Returns and Expected Returns," The Review of Financial Studies, Society for Financial Studies, vol. 27(3), pages 714-746.
    31. Gibbons, Michael R & Ross, Stephen A & Shanken, Jay, 1989. "A Test of the Efficiency of a Given Portfolio," Econometrica, Econometric Society, vol. 57(5), pages 1121-1152, September.
    32. Andrew B. Abel & Janice C. Eberly & Stavros Panageas, 2013. "Optimal Inattention to the Stock Market With Information Costs and Transactions Costs," Econometrica, Econometric Society, vol. 81(4), pages 1455-1481, July.
    33. Glaeser, Edward L. & Nathanson, Charles G., 2017. "An extrapolative model of house price dynamics," Journal of Financial Economics, Elsevier, vol. 126(1), pages 147-170.
    34. Olivier Coibion & Yuriy Gorodnichenko, 2015. "Information Rigidity and the Expectations Formation Process: A Simple Framework and New Facts," American Economic Review, American Economic Association, vol. 105(8), pages 2644-2678, August.
    35. Brandt, Michael W. & Kang, Qiang, 2004. "On the relationship between the conditional mean and volatility of stock returns: A latent VAR approach," Journal of Financial Economics, Elsevier, vol. 72(2), pages 217-257, May.
    36. Johnson, Travis L., 2017. "Risk Premia and the VIX Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 52(6), pages 2461-2490, December.
    37. Allen M. Poteshman, 2001. "Underreaction, Overreaction, and Increasing Misreaction to Information in the Options Market," Journal of Finance, American Finance Association, vol. 56(3), pages 851-876, June.
    38. David López-Salido & Jeremy C. Stein & Egon Zakrajšek, 2017. "Credit-Market Sentiment and the Business Cycle," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 132(3), pages 1373-1426.
    39. Whitelaw, Robert F, 1994. "Time Variations and Covariations in the Expectation and Volatility of Stock Market Returns," Journal of Finance, American Finance Association, vol. 49(2), pages 515-541, June.
    40. Travis L Johnson, 2019. "A Fresh Look at Return Predictability Using a More Efficient Estimator," The Review of Asset Pricing Studies, Society for Financial Studies, vol. 9(1), pages 1-46.
    41. Jessica A. Wachter, 2013. "Can Time-Varying Risk of Rare Disasters Explain Aggregate Stock Market Volatility?," Journal of Finance, American Finance Association, vol. 68(3), pages 987-1035, June.
    42. French, Kenneth R. & Schwert, G. William & Stambaugh, Robert F., 1987. "Expected stock returns and volatility," Journal of Financial Economics, Elsevier, vol. 19(1), pages 3-29, September.
    43. He, Zhiguo & Kelly, Bryan & Manela, Asaf, 2017. "Intermediary asset pricing: New evidence from many asset classes," Journal of Financial Economics, Elsevier, vol. 126(1), pages 1-35.
    44. Itamar Drechsler & Amir Yaron, 2011. "What's Vol Got to Do with It," The Review of Financial Studies, Society for Financial Studies, vol. 24(1), pages 1-45.
    45. Zhengyang Jiang & Arvind Krishnamurthy & Hanno Lustig, 2018. "Foreign Safe Asset Demand for US Treasurys and the Dollar," AEA Papers and Proceedings, American Economic Association, vol. 108, pages 537-541, May.
    46. Alexander David & Pietro Veronesi, 2013. "What Ties Return Volatilities to Price Valuations and Fundamentals?," Journal of Political Economy, University of Chicago Press, vol. 121(4), pages 682-746.
    47. Chernov, Mikhail, 2007. "On the Role of Risk Premia in Volatility Forecasting," Journal of Business & Economic Statistics, American Statistical Association, vol. 25, pages 411-426, October.
    48. Mark Rachwalski & Quan Wen, 2016. "Idiosyncratic Risk Innovations and the Idiosyncratic Risk-ReturnRelation," The Review of Asset Pricing Studies, Society for Financial Studies, vol. 6(2), pages 303-328.
    49. Pietro Veronesi, 2000. "How Does Information Quality Affect Stock Returns?," Journal of Finance, American Finance Association, vol. 55(2), pages 807-837, April.
    50. Harrison Hong & Jeremy C. Stein, 1999. "A Unified Theory of Underreaction, Momentum Trading, and Overreaction in Asset Markets," Journal of Finance, American Finance Association, vol. 54(6), pages 2143-2184, December.
    51. Bjørn Eraker & Michael Johannes & Nicholas Polson, 2003. "The Impact of Jumps in Volatility and Returns," Journal of Finance, American Finance Association, vol. 58(3), pages 1269-1300, June.
    52. repec:oup:rfinst:v:25:y::i:11:p:3169-3215 is not listed on IDEAS
    53. repec:bla:jfinan:v:59:y:2004:i:4:p:1481-1509 is not listed on IDEAS
    54. Alan Moreira & Tyler Muir, 2017. "Volatility-Managed Portfolios," Journal of Finance, American Finance Association, vol. 72(4), pages 1611-1644, August.
    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. Zhang, Junyu & Ruan, Xinfeng & Zhang, Jin E., 2023. "Do short-term market swings improve realized volatility forecasts?," Finance Research Letters, Elsevier, vol. 58(PD).
    2. Victor Olkhov, 2023. "Market-Based Probability of Stock Returns," Papers 2302.07935, arXiv.org, revised Dec 2024.
    3. Qiao, Fang & Xu, Lai & Zhang, Xiaoyan & Zhou, Hao, 2024. "Variance risk premiums in emerging markets," Journal of Banking & Finance, Elsevier, vol. 167(C).
    4. Nagel, Stefan & Xu, Zhengyang, 2023. "Dynamics of subjective risk premia," Journal of Financial Economics, Elsevier, vol. 150(2).
    5. 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.
    6. Leland Bybee, 2023. "Surveying Generative AI's Economic Expectations," Papers 2305.02823, arXiv.org, revised May 2023.
    7. Jon Danielsson & Marcela Valenzuela & Ilknur Zer, 2023. "The Impact of Risk Cycles on Business Cycles: A Historical View," The Review of Financial Studies, Society for Financial Studies, vol. 36(7), pages 2922-2961.
    8. Gu, Ming & Sun, Minxing & Xiong, Zhitao & Xu, Weike, 2024. "Market volatility and the trend factor," Finance Research Letters, Elsevier, vol. 65(C).
    9. Harshit Mishra & Parama Barai, 2024. "Entropy Augmented Asset Pricing Model: Study on Indian Stock Market," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 31(1), pages 81-99, March.
    10. Naresh Bansal & Robert A. Connolly & Chris Stivers, 2022. "Beta and size equity premia following a high‐VIX threshold," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 42(8), pages 1491-1517, August.
    11. Bangsgaard, Christine & Kokholm, Thomas, 2024. "The lead–lag relation between VIX futures and SPX futures," Journal of Financial Markets, Elsevier, vol. 67(C).
    12. Pezzo, Luca & Zhu, Yinchu & Hassan, M. Kabir & Tian, Jiayuan, 2024. "Testing the boundaries of applicability of standard Stochastic Discount Factor models," Journal of Financial Stability, Elsevier, vol. 72(C).
    13. Cheng, Hang & Guo, Hui & Shi, Yongdong, 2024. "Multifactor conditional equity premium model: Evidence from China's stock market," Journal of Banking & Finance, Elsevier, vol. 161(C).
    14. Li, Kai & Liu, Jun, 2023. "Extrapolative asset pricing," Journal of Economic Theory, Elsevier, vol. 210(C).
    15. Ghaderi, Mohammad & Kilic, Mete & Seo, Sang Byung, 2024. "Why do rational investors like variance at the peak of a crisis? A learning-based explanation," Journal of Monetary Economics, Elsevier, vol. 142(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. Leland E. Farmer & Lawrence Schmidt & Allan Timmermann, 2023. "Pockets of Predictability," Journal of Finance, American Finance Association, vol. 78(3), pages 1279-1341, June.
    2. Lansing, Kevin J. & LeRoy, Stephen F. & Ma, Jun, 2022. "Examining the sources of excess return predictability: Stochastic volatility or market inefficiency?," Journal of Economic Behavior & Organization, Elsevier, vol. 197(C), pages 50-72.
    3. Ghaderi, Mohammad & Kilic, Mete & Seo, Sang Byung, 2024. "Why do rational investors like variance at the peak of a crisis? A learning-based explanation," Journal of Monetary Economics, Elsevier, vol. 142(C).
    4. Stefano Cassella & Huseyin Gulen, 2018. "Extrapolation Bias and the Predictability of Stock Returns by Price-Scaled Variables," The Review of Financial Studies, Society for Financial Studies, vol. 31(11), pages 4345-4397.
    5. Bender, Svetlana & Choi, James J. & Dyson, Danielle & Robertson, Adriana Z., 2022. "Millionaires speak: What drives their personal investment decisions?," Journal of Financial Economics, Elsevier, vol. 146(1), pages 305-330.
    6. Keunbae Ahn, 2021. "Predictable Fluctuations in the Cross-Section and Time-Series of Asset Prices," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 1-2021, January-A.
    7. Roberto Gómez‐Cram, 2022. "Late to Recessions: Stocks and the Business Cycle," Journal of Finance, American Finance Association, vol. 77(2), pages 923-966, April.
    8. Barberis, Nicholas & Greenwood, Robin & Jin, Lawrence & Shleifer, Andrei, 2015. "X-CAPM: An extrapolative capital asset pricing model," Journal of Financial Economics, Elsevier, vol. 115(1), pages 1-24.
    9. Ian Martin, 2017. "What is the Expected Return on the Market?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 132(1), pages 367-433.
    10. Alan Moreira & Tyler Muir, 2016. "Volatility Managed Portfolios," NBER Working Papers 22208, National Bureau of Economic Research, Inc.
    11. Pedro Bordalo & Nicola Gennaioli & Rafael La Porta & Andrei Shleifer, 2024. "Belief Overreaction and Stock Market Puzzles," Journal of Political Economy, University of Chicago Press, vol. 132(5), pages 1450-1484.
    12. Hongye Guo & Jessica A. Wachter, 2019. ""Superstitious" Investors," NBER Working Papers 25603, National Bureau of Economic Research, Inc.
    13. Ye Li & Chen Wang, 2023. "Valuation Duration of the Stock Market," Papers 2310.07110, arXiv.org.
    14. Mete Kilic & Ivan Shaliastovich, 2019. "Good and Bad Variance Premia and Expected Returns," Management Science, INFORMS, vol. 67(6), pages 2522-2544, June.
    15. Sang Byung Seo & Jessica A. Wachter, 2019. "Option Prices in a Model with Stochastic Disaster Risk," Management Science, INFORMS, vol. 65(8), pages 3449-3469, August.
    16. John H. Cochrane, 2017. "Macro-Finance," Review of Finance, European Finance Association, vol. 21(3), pages 945-985.
    17. repec:oup:qjecon:v:132:y:2016:i:1:p:367-433. is not listed on IDEAS
    18. Shaliastovich, Ivan, 2015. "Learning, confidence, and option prices," Journal of Econometrics, Elsevier, vol. 187(1), pages 18-42.
    19. Geert Bekaert & Eric Engstrom & Andrey Ermolov, 2023. "The Variance Risk Premium in Equilibrium Models," Review of Finance, European Finance Association, vol. 27(6), pages 1977-2014.
    20. Bjørn Eraker & Aoxiang Yang, 2022. "The Price of Higher Order Catastrophe Insurance: The Case of VIX Options," Journal of Finance, American Finance Association, vol. 77(6), pages 3289-3337, December.
    21. Xu, Shaojun, 2023. "Behavioral asset pricing under expected feedback mode," International Review of Financial Analysis, Elsevier, vol. 86(C).

    More about this item

    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:bla:jfinan:v:77:y:2022:i:2:p:1055-1096. 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: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/afaaaea.html .

    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.