MDSB&ATSM

A Method for Detecting Structural Breaks and an Application to Turkish Stock Markets,” (with Erdem Basci & Sidika Basci) METU Studies in Development, Vol. 27, number 1-2, pages 35-45, 2000

SSRN Version

ABSTRACT

We suggest a procedure for model update, based on detection of structural breaks at unknown change-points. The procedure makes use of the SupF test introduced by Andrews (1993). We apply this procedure for modelling the common stock index returns in the Ýstanbul Stock Exchange for the 11 year period of 1989 - 1999. The underlying model consists simply of a mean plus noise, with occasional jumps in the level of mean at unknown time instances. The problem is the detection of this jump and the corresponding model update. We find critical values for the SupF test statistic by using the Bootstrap method. A trading rule that uses the forecasts from the suggested procedure is observed to outperform the buy-and-hold strategy.

REFERENCES

ANDREWS, D. W. (1993), “Tests for Parameter Instability and Structural Change with Unknown Change Point,” Econometrica, 61, 4, 821-856.

CHERNOFF, H and S. ZACKS (1964), “Estimating the Current Mean of a Normal Distribution which is Subjected to Changes in Time,” Annals of Mathematical Statistics, 35, 999-1018.

CHOW, G. C. (1960), “Tests of Equality Between Subsets of Coefficients in Two Linear Regression Models,” Econometrica, 591-605.

CHU, C., J. (1990), “ The Econometrics of Structural Change,” Dissertation, University of California, San Diego.

CONRAD, J. and G. KAUL (1988), “Time-Variation in Expected Returns,” Journal of Business, 61, 409-425.

CONRAD, J. and G. KAUL (1989), “Mean Reversion in Short-Horizon Expected Returns,” The Review of Financial Studies, 2, 2, 225-240. 4 We thank an anonymous referee of this journal for suggesting the use of a fixed window length in our testing procedure.

DIEBOLD, F.X. and C. CHEN (1996), “Testing Structural Stability with Endogenous Break Point: A Size Comparison of Analytic and Bootstrap Procedures,” Journal of Econometrics, 70, 221-241.

EFRON, B. (1982), The Jacknife, the Bootstrap and Other Resampling Plans, SIAM, Philadelphia, Pennsylvania.

HAWKINS, D. M. (1977), “Testing a Sequence of Observations for a Shift in Location,” Journal of the American Statistical Association, 72, 357, 180-186.

HINKLEY, D. V. (1970), “Inference about the Change Point in a Squence of Random Variables,” Biometrika, 57, 1, 1-17.

JAMES B., K. L. JAMES and D. SIEGMUND (1987), “Test for a Change Point,” Biometrika, 74, 1, 71-83.

NEFTÇÝ, S. N. (1982), “Optimal Prediction of Cyclical Downturns,” Journal of Economic Dynamics and Control, 4, 225-241.

POTERBA, J. A. and L. M. SUMMERS (1988), “Mean Reversion in Stock Prices: Evidence and Implications,” Journal of Financial Economics, 22, 27-59.

WORSLEY, K. J., (1979), “On the Likelihood Ratio Test for a Shift In Location of Normal Populations,” Journal of the American Statistical Association, 74, 366, 365-367.