Hostname: page-component-78c5997874-t5tsf Total loading time: 0 Render date: 2024-11-15T12:59:22.221Z Has data issue: false hasContentIssue false

Efficient Algorithms for Conducting Stochastic Dominance Tests on Large Numbers of Portfolios

Published online by Cambridge University Press:  19 October 2009

Extract

Recent theoretical and empirical work in portfolio theory has exhibited a natural evolution from the two-moment EV model popularized by Markowitz through the higher moment models to selection on the basis of the entire probability function. This latter approach, referred to as the Stochastic Dominance (SD) approach to portfolio selection, has been shown to be theoretically superior to all of the “moment methods” and has been the focus of an increasing volume of empirical work.

Type
Research Article
Copyright
Copyright © School of Business Administration, University of Washington 1973

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]Blume, Marshall E.On the Assessment of Risk.” Journal of Finance, vol. 26 (March 1971), pp. 110.CrossRefGoogle Scholar
[2]Breen, William, and Jackson, Richard. “An Efficient Algorithm for Solving Large-scale Portfolio Problems.” Journal of Financial and Quantitative Analysis, vol. 6 (January 1971), pp. 627637.CrossRefGoogle Scholar
[3]Breen, William, and Savage, James. “Portfolio Distributions and Tests of Security Selection Models.” Journal of Finance, vol. 23 (December 1968), pp. 805819.Google Scholar
[4]Chou, Ya-lun. Statistical Analysis. New York, 1969, p. 29.Google Scholar
[5]Fama, Eugene F.The Behavior of Stock Market Prices.” Journal of Business, vol. 38 (January 1965), pp. 34105.CrossRefGoogle Scholar
[6]Hadar, Joseph, and Russell, William. “Rules for Ordering Uncertain Prospects.” American Economic Review, vol. 49 (March 1969), pp. 2534.Google Scholar
[7]Hanoch, Giora, and Levy, Haim. “The Efficiency Analysis of Choices Involving Risk.” Review of Economic Studies, vol. 36 (July 1969), pp. 335346.CrossRefGoogle Scholar
[8]Kalymon, Basil A.Estimation Risk in the Portfolio Selection Model.” Journal of Financial and Quantitative Analysis, vol. 6 (January 1971), pp. 559582.CrossRefGoogle Scholar
[9]Levy, Haim, and Hanoch, Giora. “Relative Effectiveness of Efficiency Criteria for Portfolio Selection.” Journal of Financial and Quantitative Analysis, vol. 5 (March 1970), pp. 6376.CrossRefGoogle Scholar
[10]Levy, Robert A.On the Short-Term Stationarity of Beta Coefficients.” Financial Analysts Journal, vol. 27 (November–December 1971), pp. 5562.CrossRefGoogle Scholar
[11]Markowitz, Harry. Portfolio Selection. New York, 1959.Google Scholar
[12]Markowitz, Harry. “Portfolio Selection.” Journal of Finance, vol. 12 (March 1952), pp. 7791.Google Scholar
[13]Porter, R. Burr. “Application of Stochastic Dominance Principles to the Problem of Asset Selection Under Risk.” Ph.D. dissertation, Purdue University, January 1971.CrossRefGoogle Scholar
[14]Porter, R. Burr. “A Comparison of Stochastic Dominance and Mean-Variance Portfolio Models.”Presented at the national meeting of the Financial Management Association,October 1971.Google Scholar
[15]Porter, R. Burr, and Gaumnitz, Jack. “Stochastic Dominance versus Mean-Variance Portfolio Analysis.” Forthcoming in American Economic Review.Google Scholar
[16]Quirk, James, and Saposnik, Rubin. “Admissibility and Measurable Utility Functions.” Review of Economic Studies, vol. 29 (1962), pp. 140146.CrossRefGoogle Scholar
[17]Sharpe, William. “A Simplified Model for Portfolio Analysis.” Management Science, vol. 9 (January 1963), pp. 277293.CrossRefGoogle Scholar
[18]Whitmore, G.A.Third-Degree Stochastic Dominance.” American Economic Review, vol. 60 (June 1970), pp. 457459.Google Scholar