Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-25T08:20:48.290Z Has data issue: false hasContentIssue false

Identifying the SSD Portion of the EV Frontier: A Note

Published online by Cambridge University Press:  06 April 2009

Extract

In a series of recent articles ([2], [3], [4], [5]) R. B. Porter and his associates have conducted empirical comparisons of the Mean-Variance (EV) and Stochastic Dominance portfolio choice criteria. The basic methodology of all these studies was first to compute the set of EV-efficient portfolios by an optimizing algorithm, then to find through heuristic methods “stochastically dominant” portfolios, and finally to compare the two. A major finding of these studies was that most EV-efficient portfolios survived the second-degree stochastic dominance (SSD) test against the randomly generated portfolios. The purpose of this note is to show that, for all cases of practical interest, a portion of the EV frontier is a subset of the SSD-efficient set. In other words, we offer here an exact theoretical justification of some empirical results of the aforementioned studies.

Type
Research Article
Copyright
Copyright © School of Business Administration, University of Washington 1978

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

REFERENCES

[1]Levy, H., and Sarnat, M.. Investment and Portfolio Analysis. New York: Wiley (1972).Google Scholar
[2]Porter, R. B.An.Empirical Comparison of Stochastic Dominance and Mean Variance Portfolio Choice Criteria.” Journal of Financial and Quantitative Analysis, Vol. 8 (09 1973), pp. 587608.CrossRefGoogle Scholar
[3]Porter, R. B., and Bey, R.. “An Evaluation of the Empirical Significance of Optimal Seeking Algorithms in Portfolio Selection.” Journal of Finance, Vol. 29 (12 1974), pp. 1479–90.Google Scholar
[4]Porter, R. B., and Carey, K.. “Stochastic Dominance as a Risk Analysis Criterion.” Decision Sciences, Vol. 5 (01 1974), pp. 1021.CrossRefGoogle Scholar
[5]Porter, R. B., and Gaumnitz, J. E.. “Stochastic Dominance vs. Mean-Variance Portfolio Analysis.” American Economic Review, Vol. 62 (06 1972), pp. 438–46.Google Scholar
[6]Samuelson, P. A.General Proof that Diversification Pays.” Journal of Financial and Quantitative Analysis, Vol. 2 (03 1967), pp. 113.CrossRefGoogle Scholar
[7]Sharpe, W. F.Portfolio Theory and Capital Markets. New York: McGraw-Hill (1970).Google Scholar