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The Behavior of Stock Returns: Is It Stationary or Evolutionary?

Published online by Cambridge University Press:  06 April 2009

D. A. Hsu
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Extract

Empirical studies of the behavior of stock returns are important for several reasons. First, the nature of stock return behavior is fundamental to the formulation of the concept of “risk” (or “uncertainty”) in various financial theories and models. Second, the measurement of risk depends heavily on properties (such as the stationarity, long-tailedness, finiteness of the second and higher moments, etc.) of empirical stock return distributions. Third, various tests for the empirical validity of financial models [28] and the applications of these models (e.g., to the evaluation of investment performances [21], [22]) rely to a considerable extent on the steadiness over time of stock return distributions and the constancy of systematic risk. Fourth, several important pricing models for stock options, warrants, convertible debentures, and other similar financial instruments usually require explicit estimates of stock return variances [5]; the usefulness of such models depends largely on the adequacy (e.g., the finiteness, accuracy, etc.) and the stationarity of the variance measurements.

Type
Research Article
Information
Journal of Financial and Quantitative Analysis , Volume 19 , Issue 1 , March 1984 , pp. 11 - 28
Copyright
Copyright © School of Business Administration, University of Washington 1984

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References

[1]Alexander, G. J., and Benson, P. G.. “More on Beta as a Random Coefficient.” Journal of Financial and Quantitative Analysis, Vol. 17 (03 1982), pp. 27–36.CrossRefGoogle Scholar
[2]Ali, M. M., and Giaccotto, C.. “The Identical Distribution Hypothesis for Stock Market Prices—Location — and Scale-Shift Alternatives.” Journal of the American Statistical Association, Vol. 77 (03 1982), pp. 19–28.Google Scholar
[3]Bachelier, L. J. B. A.Théorie de la speculation. Paris: Gauthier-Villars (1900).CrossRefGoogle Scholar
[4]Bey, R. “Market Model Stationarity of Individual Public Utilities.” Journal of Financial and Quantitative Analysis (forthcoming).Google Scholar
[5]Black, F., and Scholes, M.. “The Pricing of Options and Corporate Liabilities.” Journal of Political Economy, Vol. 81 (05/06 1973), pp. 637–654.CrossRefGoogle Scholar
[6]Blattberg, R. C., and Gonedes, N. J.. “A Comparison of the Stable and Student Distributions as Statistical Models for Stock Prices.” Journal of Business, Vol. 47 (04 1974), pp. 244–280.CrossRefGoogle Scholar
[7]Clark, P. K. “A Subordinated Stochastic Process Model with Finite Variance for Speculative Prices.” Econometrica, Vol. 41 (01 1973), pp. 135–155.CrossRefGoogle Scholar
[8]Fabozzi, F. J., and Francis, J. C.. “Beta as a Random Coefficient.” Journal of Financial and Quantitative Analysis, Vol. 13 (03 1978), pp. 101–116.CrossRefGoogle Scholar
[9]Fama, E. F. “The Behavior of Stock-Market Prices.” Journal of Business, Vol. 38 (01 1965), pp. 34–105.CrossRefGoogle Scholar
[10]Fama, E. F. “Efficient Capital Markets: A Review of Theory and Empirical Work.” Journal of Finance, Vol. 25 (05 1970), pp. 383–417.CrossRefGoogle Scholar
[11]Fama, E. F.Foundations of Finance. New York: Basic Books (1976).Google Scholar
[12]Fielitz, B. D. “Stationarity of Random Data: Some Implications for the Distribution of Stock Price Changes.” Journal of Financial and Quantitative Analysis, Vol. 6 (06 1971), pp. 1025–1034.CrossRefGoogle Scholar
[13]Hillmer, S. C., and Yu, P. L.. “The Market Speed of Adjustment to New Information.” Journal of Financial Economics, Vol. 7 (12 1979), pp. 321–345.CrossRefGoogle Scholar
[14]Hsu, D. A. “Tests for Variance Shift at an Unknown Time Point.” Journal of the Royal Statistical Society, Series C, Vol. 26 (12 1977), pp. 279–284.Google Scholar
[15]Hsu, D. A. “Detecting Shifts of Parameter in Gamma Sequences with Applications to Stock Price and Air Traffic FlowAnalysis.” Journal of the American Statistical Association, Vol. 74 (03 1979), pp. 31–40.CrossRefGoogle Scholar
[16]Hsu, D. A. “A Bayesian Robust Detection of Shift in the Risk Structure of Stock Market Returns.” Journal of the American Statistical Association, Vol. 77 (03 1982), pp. 29–39.CrossRefGoogle Scholar
[17]Hsu, D. A. “Robust Inferences for Structural Shift in Regression Models.” Journal of Econometrics, Vol. 19 (05 1982), pp. 89–107.CrossRefGoogle Scholar
[18]Hsu, D. A. “Robust Analysis of a Shift in Regression Relationships Over Time.” Manuscript.Google Scholar
[19]Hsu, D. A.; Miller, R. B.; and Wichern, D. W.. “On the Stable Paretian Behavior of Stock-Market Prices.” Journal of the American Statistical Association, Vol. 69 (03 1974), pp. 108–113.CrossRefGoogle Scholar
[20]Huber, P. J.Gobust Statistics. New York: John Wiley & Sons, Inc. (1981).Google Scholar
[21]Jensen, M. C. “Risk, the Pricing of Capital Assets, and the Evaluation of Investment Portfolios.” Journal of Business, Vol. 42 (04 1969), pp. 167–247.CrossRefGoogle Scholar
[22]Kon, S. J., and Jen, F. C.. “Estimation of Time-Varying Systematic Risk and Performance for Mutual Fund Portfolios: An Application of Switching Regression.” Journal of Finance, Vol. 33 (05 1978), pp. 457–475.Google Scholar
[23]Mandelbrot, B. ”The Variation of Certain Speculative Prices.” Journal of Business, Vol. 36 (10 1963), pp. 394–419.CrossRefGoogle Scholar
[24]Officer, R. R. “The Variability of the Market Factor of the New York Stock Exchange.” Journal of Business, Vol. 46 (07 1973), pp. 434–453.CrossRefGoogle Scholar
[25]Osborne, M. F. M. “Brownian Motion in the Stock Market.” Operations Research, Vol. 7 (01–02 1959), pp. 145–173.CrossRefGoogle Scholar
[26]Pettway, R. H. “On the Use of β in Regulatory Proceedings: An Empirical Examination.” The Bell Journal of Economics, Vol. 9 (Spring 1978), pp. 239–248.Google Scholar
[27]Press, S. J. “A Compound Events Model for Security Prices.” Journal of Business, Vol. 40 (07 1967), pp. 317–335.CrossRefGoogle Scholar
[28]Roll, R. “A Critique of the Asset Pricing Theory's Tests—Part I: On Past and Potential Testability of the Theory.” Journal of Financial Economics, Vol. 4 (03 1977), pp. 129–176.CrossRefGoogle Scholar
[29]Rozeff, M. S., and Kinney, W. R. Jr, “Capital Market Seasonality: The Case of Stock Returns.” Journal of Financial Economics, Vol. 3 (10 1976), pp. 379–402.CrossRefGoogle Scholar
[30]Snedecor, G. W.Statistical Methods, 5th ed. Ames, IA: Iowa State University Press (1965).Google Scholar
[31]Sprinkel, B. W.Money and Stock Prices. Homewood, IL: R. D. Irwin (1964).Google Scholar
[32]Sunder, S. “Stationarity of Market Risk: Random Coefficient Tests for Individual Common Stocks.” Journal of Finance, Vol. 35 (09 1980), pp. 883–896.CrossRefGoogle Scholar