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Mean Reversion Expectations and the 1987 Stock Market Crash: An Empirical Investigation

  • Eric Hillebrand

    (Louisiana State University, Department of Economics)

After the stock market crash of 1987, Fischer Black proposed a model in which he explained the crash by inconsistencies in the formation of expectations of mean reversion in stock returns. Following this explanation, a model that allows for mean reversion in stock returns is estimated on daily stock index data around the crash of 1987. The results strongly support Black’s hypothesis. Simulations show that on Friday Oct 16, 1987, a crash of 20 percent or more had a probability of more than seven percent.

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File URL: http://128.118.178.162/eps/fin/papers/0501/0501015.pdf
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Paper provided by EconWPA in its series Finance with number 0501015.

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Length: 42 pages
Date of creation: 31 Jan 2005
Date of revision:
Handle: RePEc:wpa:wuwpfi:0501015
Note: Type of Document - pdf; pages: 42
Contact details of provider: Web page: http://128.118.178.162

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  1. Gerard Gennotte and Hayne Leland., 1989. "Market Liquidity, Hedging and Crashes," Research Program in Finance Working Papers RPF-184, University of California at Berkeley.
  2. 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.
  3. Metcalf, Gilbert E. & Hassett, Kevin A., 1995. "Investment under alternative return assumptions Comparing random walks and mean reversion," Journal of Economic Dynamics and Control, Elsevier, vol. 19(8), pages 1471-1488, November.
  4. James M. Poterba & Lawrence H. Summers, 1987. "Mean Reversion in Stock Prices: Evidence and Implications," NBER Working Papers 2343, National Bureau of Economic Research, Inc.
  5. Hillebrand, Eric, 2005. "Neglecting parameter changes in GARCH models," Journal of Econometrics, Elsevier, vol. 129(1-2), pages 121-138.
  6. Evan Gatev & Stephen Ross, 2000. "Rebels, Conformists, Contrarians And Momentum Traders," Yale School of Management Working Papers ysm137, Yale School of Management, revised 01 Jan 2003.
  7. Josef Lakonishok & Andrei Shleifer & Robert W. Vishny, 1993. "Contrarian Investment, Extrapolation, and Risk," University of Chicago - George G. Stigler Center for Study of Economy and State 84, Chicago - Center for Study of Economy and State.
  8. Cecchetti, Stephen G & Lam, Pok-sang & Mark, Nelson C, 1990. "Mean Reversion in Equilibrium Asset Prices," American Economic Review, American Economic Association, vol. 80(3), pages 398-418, June.
  9. Black, Fischer, 1990. "Mean Reversion and Consumption Smoothing," Review of Financial Studies, Society for Financial Studies, vol. 3(1), pages 107-14.
  10. Myung Jig Kim & Charles R. Nelson & Richard Startz, 1988. "Mean Reversion in Stock Prices? A Reappraisal of the Empirical Evidence," NBER Working Papers 2795, National Bureau of Economic Research, Inc.
  11. Evan Gatev & Stephen A. Ross, 2000. "Rebels, Conformists, Contrarians and Momentum Traders," NBER Working Papers 7835, National Bureau of Economic Research, Inc.
  12. Kim, Chang-Jin & Nelson, Charles R. & Startz, Richard, 1998. "Testing for mean reversion in heteroskedastic data based on Gibbs-sampling-augmented randomization1," Journal of Empirical Finance, Elsevier, vol. 5(2), pages 131-154, June.
  13. 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.
  14. Summers, Lawrence H, 1986. " Does the Stock Market Rationally Reflect Fundamental Values?," Journal of Finance, American Finance Association, vol. 41(3), pages 591-601, July.
  15. Brennan, Michael J & Schwartz, Eduardo S, 1989. "Portfolio Insurance and Financial Market Equilibrium," The Journal of Business, University of Chicago Press, vol. 62(4), pages 455-72, October.
  16. Ronald Balvers & Yangru Wu & Erik Gilliland, 2000. "Mean Reversion across National Stock Markets and Parametric Contrarian Investment Strategies," Journal of Finance, American Finance Association, vol. 55(2), pages 745-772, 04.
  17. Cutler, David M & Poterba, James M & Summers, Lawrence H, 1991. "Speculative Dynamics," Review of Economic Studies, Wiley Blackwell, vol. 58(3), pages 529-46, May.
  18. Fama, Eugene F & French, Kenneth R, 1988. "Permanent and Temporary Components of Stock Prices," Journal of Political Economy, University of Chicago Press, vol. 96(2), pages 246-73, April.
  19. Andrew W. Lo & A. Craig MacKinlay, 1989. "When are Contrarian Profits Due to Stock Market Overreaction?," NBER Working Papers 2977, National Bureau of Economic Research, Inc.
  20. Matthew Richardson & James H. Stock, 1990. "Drawing Inferences From Statistics Based on Multi-Year Asset Returns," NBER Working Papers 3335, National Bureau of Economic Research, Inc.
  21. Jegadeesh, Narasimhan, 1990. " Evidence of Predictable Behavior of Security Returns," Journal of Finance, American Finance Association, vol. 45(3), pages 881-98, July.
  22. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
  23. Eric Hillebrand, . "Neglecting Parameter Changes in Autoregressive Models," Departmental Working Papers 2004-04, Department of Economics, Louisiana State University.
  24. Andrew W. Lo & A. Craig MacKinlay, 1987. "Stock Market Prices Do Not Follow Random Walks: Evidence From a Simple Specification Test," NBER Working Papers 2168, National Bureau of Economic Research, Inc.
  25. Jegadeesh, Narasimhan & Titman, Sheridan, 1995. "Overreaction, Delayed Reaction, and Contrarian Profits," Review of Financial Studies, Society for Financial Studies, vol. 8(4), pages 973-93.
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