Hostname: page-component-6d856f89d9-vrt8f Total loading time: 0 Render date: 2024-07-16T07:02:34.854Z Has data issue: false hasContentIssue false

More Evidence on the Nature of the Distribution of Security Returns

Published online by Cambridge University Press:  06 April 2009

Extract

The question of whether security return distributions have a finite or an infinite variance has been debated for many years. The possibility that the security return-generating process actually has an infinite variance is particularly vexing since it implies that all statistical techniques and theoretical frameworks utilizing the second (or higher) moment are invalid. While this is clearly not a disaster—alternatives do exist—much of the work which has been done in the field of finance has assumed the existence of the second moment. It is, therefore, important to determine whether or not the security return distribution actually has a finite variance.

Type
Research Article
Copyright
Copyright © School of Business Administration, University of Washington 1983

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1]Barnea, A., and Downes, D.. “A Re-examination of the Empirical Deviations of Stock Price Changes.” Journal of the American Statistical Association, Vol. 68 (06 1973), pp. 348350.CrossRefGoogle Scholar
[2]Blattberg, Robert C., and Gonedes, Nicholas J.. “A Comparison of the Stable and Student Distributions as Statistical Models for Stock Prices.” Journal of Business, Vol. 47 (04 1974), pp. 244280.CrossRefGoogle Scholar
[3]Chambers, J. M.; Mallows, C. L.; and Stuck, B. W.. “A Method for Simulating Stable Random Variables.” Journal of the American Statistical Association, Vol. 71 (06 1976), pp. 340344.CrossRefGoogle Scholar
[4]Clark, Peter. “A Subordinated Stochastic Process Model with Finite Variance for Speculative Prices.” Econometrica, Vol. 41 (01 1973), pp. 135155.CrossRefGoogle Scholar
[5]Cootner, Paul H., ed. The Random Character of Stock Market Prices. Cambridge, MA: M.I.T. Press (1964).Google Scholar
[6]Fama, Eugene F.Mandelbrot and the Stable Paretian Hypothesis.” Journal of Business, Vol. 36 (10 1963), pp. 420429.CrossRefGoogle Scholar
[7]Fama, Eugene F.The Behavior of Stock-Market Prices.” Journal of Business, Vol. 38 (01 1965), pp. 34105.CrossRefGoogle Scholar
[8]Fama, Eugene F., and Roll, Richard. “Parameter Estimates for Symmetric Stable Distributions.” Journal of the American Statistical Association, Vol. 66 (06 1971), pp. 331338.CrossRefGoogle Scholar
[9]Hagerman, Robert L.More Evidence on the Distribution of Security Returns.” Journal of Finance, Vol. 33 (09 1978), pp. 12131221.CrossRefGoogle Scholar
[10]Hsu, D.; Miller, R.; and Wichern, D.. “On the Stable Paretian Behavior of Stock Market Prices.” Journal of the American Statistical Association, Vol. 69 (03 1974), pp. 108113.CrossRefGoogle Scholar
[11]Mandelbrot, Benoit. “The Variation of Certain Speculative Prices.” Journal of Business, Vol. 36 (10 1963), pp. 394419.CrossRefGoogle Scholar
[12]Officer, R. R.The Distribution of Stock Returns.” Journal of the American Statistical Association, Vol. 67 (12 1972), pp. 807812.CrossRefGoogle Scholar
[13]Praetz, Peter D.The Distribution of Share Price Changes.” Journal of Business, Vol. 45 (01 1972), pp. 4955.CrossRefGoogle Scholar
[14]Press, S. James. “A Compound Events Model of Security Prices.” Journal of Business, Vol. 40 (07 1967), pp. 317335.CrossRefGoogle Scholar
[15]Teichmoeller, John. “A Note on the Distribution of Stock Price Changes.” Journal of the American Statistical Association, Vol. 66 (06 1971), pp. 282284.CrossRefGoogle Scholar