IDEAS home Printed from https://ideas.repec.org/p/isu/genres/31688.html
   My bibliography  Save this paper

Adaptive Expectations and Stock Market Crashes

Author

Listed:
  • Frankel, David M.

Abstract

A theory is developed that explains how stocks can crash without fundamental news and why crashes are more common than frenzies. A crash occurs via the interaction of rational and naive investors. Naive traders believe that prices follow a random walk with serially correlated volatility. Their expectations of future volatility are formed adaptively. When the market crashes, naive traders sell stock in response to the apparent increase in volatility. Since rational traders are risk averse as well, a lower price is needed to clear the market: the crash is a self-fulfilling prophecy. Frenzies cannot occur in this model.

Suggested Citation

  • Frankel, David M., 2008. "Adaptive Expectations and Stock Market Crashes," Staff General Research Papers Archive 31688, Iowa State University, Department of Economics.
    • Handle: RePEc:isu:genres:31688
    as

    Download full text from publisher

    File URL: http://www2.econ.iastate.edu/faculty/frankel/crashPreprint.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. repec:bla:jfinan:v:44:y:1989:i:3:p:557-69 is not listed on IDEAS
    2. Poterba, James M & Summers, Lawrence H, 1986. "The Persistence of Volatility and Stock Market Fluctuations," American Economic Review, American Economic Association, vol. 76(5), pages 1142-1151, December.
    3. De Long, J Bradford, et al, 1990. "Positive Feedback Investment Strategies and Destabilizing Rational Speculation," Journal of Finance, American Finance Association, vol. 45(2), pages 379-395, June.
    4. Dilip Abreu & Markus K. Brunnermeier, 2003. "Bubbles and Crashes," Econometrica, Econometric Society, vol. 71(1), pages 173-204, January.
    5. Kathy Yuan, 2005. "Asymmetric Price Movements and Borrowing Constraints: A Rational Expectations Equilibrium Model of Crises, Contagion, and Confusion," Journal of Finance, American Finance Association, vol. 60(1), pages 379-411, February.
    6. Itzhak Gilboa & David Schmeidler, 1995. "Case-Based Decision Theory," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(3), pages 605-639.
    7. Campbell, John Y. & Hentschel, Ludger, 1992. "No news is good news *1: An asymmetric model of changing volatility in stock returns," Journal of Financial Economics, Elsevier, vol. 31(3), pages 281-318, June.
    8. Grossman, Sanford J, 1988. "An Analysis of the Implications for Stock and Futures Price Volatility of Program Trading and Dynamic Hedging Strategies," The Journal of Business, University of Chicago Press, vol. 61(3), pages 275-298, July.
    9. Bates, David S, 1991. "The Crash of '87: Was It Expected? The Evidence from Options Markets," Journal of Finance, American Finance Association, vol. 46(3), pages 1009-1044, July.
    10. Harrison Hong & Jeremy C. Stein, 2003. "Differences of Opinion, Short-Sales Constraints, and Market Crashes," The Review of Financial Studies, Society for Financial Studies, vol. 16(2), pages 487-525.
    11. Joseph Zeira, 2000. "Informational overshooting, booms and crashes," Proceedings, Federal Reserve Bank of San Francisco, issue Apr.
    12. Pindyck, Robert S, 1984. "Risk, Inflation, and the Stock Market," American Economic Review, American Economic Association, vol. 74(3), pages 335-351, June.
    13. Jacklin, Charles J & Kleidon, Allan W & Pfleiderer, Paul, 1992. "Underestimation of Portfolio Insurance and the Crash of October 1987," The Review of Financial Studies, Society for Financial Studies, vol. 5(1), pages 35-63.
    14. Barlevy, Gadi & Veronesi, Pietro, 2003. "Rational panics and stock market crashes," Journal of Economic Theory, Elsevier, vol. 110(2), pages 234-263, June.
    15. Malkiel, Burton G, 1979. "The Capital Formation Problem in the United States," Journal of Finance, American Finance Association, vol. 34(2), pages 291-306, May.
    16. Chou, Ray Yeutien, 1988. "Volatility Persistence and Stock Valuations: Some Empirical Evidence Using Garch," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 3(4), pages 279-294, October-D.
    17. Gennotte, Gerard & Leland, Hayne, 1990. "Market Liquidity, Hedging, and Crashes," American Economic Review, American Economic Association, vol. 80(5), pages 999-1021, December.
    18. Ait-Sahalia, Yacine & Wang, Yubo & Yared, Francis, 2001. "Do option markets correctly price the probabilities of movement of the underlying asset?," Journal of Econometrics, Elsevier, vol. 102(1), pages 67-110, May.
    19. 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.
    20. David M. Grether, 1980. "Bayes Rule as a Descriptive Model: The Representativeness Heuristic," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 95(3), pages 537-557.
    21. Shiller, Robert J., 1999. "Human behavior and the efficiency of the financial system," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 20, pages 1305-1340, Elsevier.
    22. Gilboa,Itzhak & Schmeidler,David, 2001. "A Theory of Case-Based Decisions," Cambridge Books, Cambridge University Press, number 9780521802345.
    23. Romer, David, 1993. "Rational Asset-Price Movements without News," American Economic Review, American Economic Association, vol. 83(5), pages 1112-1130, December.
    24. Jackwerth, Jens Carsten & Rubinstein, Mark, 1996. "Recovering Probability Distributions from Option Prices," Journal of Finance, American Finance Association, vol. 51(5), pages 1611-1632, December.
    25. Camerer, Colin F, 1987. "Do Biases in Probability Judgment Matter in Markets? Experimental Evidence," American Economic Review, American Economic Association, vol. 77(5), pages 981-997, December.
    26. Barberis, Nicholas & Shleifer, Andrei & Vishny, Robert, 1998. "A model of investor sentiment," Journal of Financial Economics, Elsevier, vol. 49(3), pages 307-343, September.
    27. Caplin, Andrew & Leahy, John, 1994. "Business as Usual, Market Crashes, and Wisdom after the Fact," American Economic Review, American Economic Association, vol. 84(3), pages 548-565, June.
    28. Alan Kraus & Maxwell Smith, 1989. "Market Created Risk," Journal of Finance, American Finance Association, vol. 44(3), pages 557-569, July.
    29. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
    30. David H. Cutler & James M. Poterba & Lawrence H. Summers, 1988. "What Moves Stock Prices?," Working papers 487, Massachusetts Institute of Technology (MIT), Department of Economics.
    31. De Bondt, Werner F M & Thaler, Richard, 1985. "Does the Stock Market Overreact?," Journal of Finance, American Finance Association, vol. 40(3), pages 793-805, July.
    32. Grossman, Sanford J & Zhou, Zhongquan, 1996. "Equilibrium Analysis of Portfolio Insurance," Journal of Finance, American Finance Association, vol. 51(4), pages 1379-1403, September.
    33. In Ho Lee, 1998. "Market Crashes and Informational Avalanches," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 65(4), pages 741-759.
    34. 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..
    35. A. Craig MacKinlay, Krishna Ramaswamy, 1988. "Index-Futures Arbitrage and the Behavior of Stock Index Futures Prices," The Review of Financial Studies, Society for Financial Studies, vol. 1(2), pages 137-158.
    36. Kleidon, Allan W & Whaley, Robert E, 1992. "One Market? Stocks, Futures, and Options during October 1987," Journal of Finance, American Finance Association, vol. 47(3), pages 851-877, July.
    37. Longin, Francois M, 1997. "The Threshold Effect in Expected Volatility: A Model Based on Asymmetric Information," The Review of Financial Studies, Society for Financial Studies, vol. 10(3), pages 837-869.
    38. Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
    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. Chen, Ka-Hin & Lai, Tze Leung & Liu, Qingfu & Wang, Chuanjie, 2022. "Beyond the blockchain announcement: Signaling credibility and market reaction," International Review of Financial Analysis, Elsevier, vol. 82(C).
    2. Vogel, Harold L. & Werner, Richard A., 2015. "An analytical review of volatility metrics for bubbles and crashes," International Review of Financial Analysis, Elsevier, vol. 38(C), pages 15-28.
    3. Nikolaos Antonakakis & Johann Scharler, 2012. "Volatility Information And Stock Market Crashes," Journal of Advanced Studies in Finance, ASERS Publishing, vol. 3(1), pages 49-57.

    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. Wang, Lanfang & Wang, Susheng, 2021. "Unusual investor behavior under tacit and endogenous market signals," International Review of Economics & Finance, Elsevier, vol. 73(C), pages 76-97.
    2. Chen, Joseph & Hong, Harrison & Stein, Jeremy C., 2001. "Forecasting crashes: trading volume, past returns, and conditional skewness in stock prices," Journal of Financial Economics, Elsevier, vol. 61(3), pages 345-381, September.
    3. Harrison Hong & Jeremy C. Stein, 1999. "Differences of Opinion, Rational Arbitrage and Market Crashes," NBER Working Papers 7376, National Bureau of Economic Research, Inc.
    4. Rajan Sruthi & Santhakumar Shijin, 2020. "Investigating liquidity constraints as a channel of contagion: a regime switching approach," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 6(1), pages 1-21, December.
    5. Elyasiani, Elyas & Mansur, Iqbal, 1998. "Sensitivity of the bank stock returns distribution to changes in the level and volatility of interest rate: A GARCH-M model," Journal of Banking & Finance, Elsevier, vol. 22(5), pages 535-563, May.
    6. Barlevy, Gadi & Veronesi, Pietro, 2003. "Rational panics and stock market crashes," Journal of Economic Theory, Elsevier, vol. 110(2), pages 234-263, June.
    7. Claudeci Da Silva & Hugo Agudelo Murillo & Joaquim Miguel Couto, 2014. "Early Warning Systems: Análise De Ummodelo Probit De Contágio De Crise Dos Estados Unidos Para O Brasil(2000-2010)," Anais do XL Encontro Nacional de Economia [Proceedings of the 40th Brazilian Economics Meeting] 110, ANPEC - Associação Nacional dos Centros de Pós-Graduação em Economia [Brazilian Association of Graduate Programs in Economics].
    8. Jennifer Huang & Jiang Wang, 2009. "Liquidity and Market Crashes," The Review of Financial Studies, Society for Financial Studies, vol. 22(7), pages 2407-2443, July.
    9. Ouzan, Samuel, 2020. "Loss aversion and market crashes," Economic Modelling, Elsevier, vol. 92(C), pages 70-86.
    10. Yueh-Neng Lin & Ken Hung, 2008. "Is Volatility Priced?," Annals of Economics and Finance, Society for AEF, vol. 9(1), pages 39-75, May.
    11. Bollerslev, Tim & Engle, Robert F. & Nelson, Daniel B., 1986. "Arch models," Handbook of Econometrics, in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 49, pages 2959-3038, Elsevier.
    12. 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.
    13. Choudhry, Taufiq, 1996. "Stock market volatility and the crash of 1987: evidence from six emerging markets," Journal of International Money and Finance, Elsevier, vol. 15(6), pages 969-981, December.
    14. Tim Bollerslev & Ray Y. Chou & Narayanan Jayaraman & Kenneth F. Kroner - L, 1991. "es modéles ARCH en finance : un point sur la théorie et les résultats empiriques," Annals of Economics and Statistics, GENES, issue 24, pages 1-59.
    15. Campbell, John Y. & Hentschel, Ludger, 1992. "No news is good news *1: An asymmetric model of changing volatility in stock returns," Journal of Financial Economics, Elsevier, vol. 31(3), pages 281-318, June.
    16. Young-Hye Cho & Robert F. Engle, 1999. "Time-Varying Betas and Asymmetric Effect of News: Empirical Analysis of Blue Chip Stocks," NBER Working Papers 7330, National Bureau of Economic Research, Inc.
    17. Yadav, Pradeep K., 1992. "Event studies based on volatility of returns and trading volume: A review," The British Accounting Review, Elsevier, vol. 24(2), pages 157-184.
    18. Kim, Dongcheol & Kon, Stanley J., 1999. "Structural change and time dependence in models of stock returns," Journal of Empirical Finance, Elsevier, vol. 6(3), pages 283-308, September.
    19. Chelikani, Surya & Marks, Joseph M. & Nam, Kiseok, 2023. "Volatility feedback effect and risk-return tradeoff," The Quarterly Review of Economics and Finance, Elsevier, vol. 92(C), pages 49-65.
    20. Siokis, Fotios M., 2012. "Stock market dynamics: Before and after stock market crashes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1315-1322.

    More about this item

    JEL classification:

    • D03 - Microeconomics - - General - - - Behavioral Microeconomics: Underlying Principles
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
    • G01 - Financial Economics - - General - - - Financial Crises

    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:isu:genres:31688. 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: Curtis Balmer (email available below). General contact details of provider: https://edirc.repec.org/data/deiasus.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.