Long Term Mean Reversion of Stock Prices Based on Fractional Integration

  • 투고 : 2011.09.26
  • 심사 : 2011.11.07
  • 발행 : 2011.11.30

초록

In this study we examine the long term behavior of stock returns. The analysis reveals that negative autocorrelations of the returns exist for a super-long horizon as long as 10 years. This pattern, however, contrasts to predictions of previous stock price models which include random walks. We suggest the introduction of a fractionally integrated process into a nonstationary component of stock prices, and demonstrate empirically the existence of the process in NYSE stock returns. The predicted values of autocorrelation from our stock price model confirm the super-long term behavior of the returns observed in regression, indicating that inefficiency in the stock market could remain for a long time.

키워드

참고문헌

  1. Baillie, R., "Long memory processes and fractional integration in econometrics," Journal of Econometrics 73 (1996), 5-59. https://doi.org/10.1016/0304-4076(95)01732-1
  2. Balvers, R., Y. Wu, and E. Gilliland, "Mean reversion across national stock markets and parametric contrarian investment strategies," Journal of Finance 55 (2000), 745-772. https://doi.org/10.1111/0022-1082.00225
  3. Cunado et al., "Testing for stock market bubbles using nonlinear models and fractional integration," Applied Financial Economics 17, 16 (2007), 1313-1321. https://doi.org/10.1080/09603100600970081
  4. Fama, E. and K. French, "Permanent and temporary components of stock prices," Journal of Political Economy 96 (1988), 246-273. https://doi.org/10.1086/261535
  5. Geweke, J. and S. Porter-Hudak, "The estimation and application of long memory time series models," Journal of Times Series Analysis 4 (1983), 221-238. https://doi.org/10.1111/j.1467-9892.1983.tb00371.x
  6. Hosking, J., "Fractional differencing," Biometrika 68 (1981), 165-176. https://doi.org/10.1093/biomet/68.1.165
  7. Huizinga, J., "Test of market efficiency in models with multiperiod forecasts," Mimeographed. Chicago: University of Chicago, Graduate School of Business, 1984.
  8. Khil, J. and B. Lee, "A time-series model of stock returns with a positive shortterm correlation and a negative long-term correlation," Review of Quantitative Finance and Accounting 18 (2002), 381-404. https://doi.org/10.1023/A:1015405820349
  9. Kim, M., C. Nelson, and R. Startz, "Mean reversion in stock prices? A reappraisal of the empirical evidence," Review of Economic Studies 58 (1991), 515-528. https://doi.org/10.2307/2298009
  10. Lim, K. and V. K. Liew, "Nonlinear mean reversion in stock prices: evidence from Asian markets," Applied Financial Economics Letters 3 (2007), 25-29. https://doi.org/10.1080/17446540600796073
  11. Lo, A. and C. MacKinlay, "Stock market prices do not follow random walks: evidence from a simple specification test," Review of Financial Studies 1 (1988), 41-66. https://doi.org/10.1093/rfs/1.1.41
  12. Malliaropulos, D., "Are long-horizon stock returns predictable? A bootstrap analysis," Journal of Business Finance and Accounting 23 (1996), 93-106. https://doi.org/10.1111/j.1468-5957.1996.tb00404.x
  13. Poterba, J. and L. Summers, "Mean reversion in stock prices: evidence and implications," Journal of Financial Economics 22 (1988), 27-59. https://doi.org/10.1016/0304-405X(88)90021-9
  14. Richardson, M. and J. Stock, "Drawing inferences from statistics based on multiyear asset returns," Journal of Financial Economics 25 (1989), 323-348. https://doi.org/10.1016/0304-405X(89)90086-X
  15. Summers, L., "Does the stock market rationally reflect fundamental values?," Journal of Finance 41 (1986), 591-601. https://doi.org/10.1111/j.1540-6261.1986.tb04519.x