Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-03T08:46:44.934Z Has data issue: false hasContentIssue false

The Derivation of Efficient Sets

Published online by Cambridge University Press:  19 October 2009

Extract

In 1952, Harry M. Markowitz [6] described a theory on the selection of assets in forming a portfolio. Assuming asset returns are stochastic, his theory postulated that rational investors should select a portfolio from the set of all portfolios which offered minimum risk (measured by variance) for varying levels of expected return. This set was named the efficient set by Markowitz.

Type
Research Article
Copyright
Copyright © School of Business Administration, University of Washington 1976

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]Cohen, Kalman J., and Pogue, Jerry E.. “An Empirical Evaluation of Alternative Portfolio Selection Models.” Journal of Business, April 1967, pp. 166193.CrossRefGoogle Scholar
[2]Francis, Jack C., and Archer, Stephen H.. Portfolio Analysis. Englewood Cliffs, N.J.: Prentice-Hall, Inc., 1971.Google Scholar
[3]Hogg, Robert V., and Craig, Allen T.. Introduction to Mathematical Statistics, 3rd ed.New York: McGraw-Hill, Inc., 1970.Google Scholar
[4]Jean, William H.The Analytical Theory of Finance. New York: Holt, Rinehart and Winston, Inc., 1970.Google Scholar
[5]Lemke, C. E.Bimatrix Equilibrium Points and Mathematical Programming.” Management Science, May 1965, pp. 681689.CrossRefGoogle Scholar
[6]Markowitz, Harry M.Portfolio Selection.” Journal of Finance, March 1952, pp. 7791.Google Scholar
[7]Markowitz, Harry M.The Optimization of a Quadratic Function Subject to Linear Constraints.” Naval Research Logistics Quarterly, March–June 1956, pp. 111133.Google Scholar
[8]Martin, A. D. Jr., “Mathematical Programming of Portfolio Selections.” Management Science, January 1955, pp. 152166.CrossRefGoogle Scholar
[9]Ravindran, Arunachalam. “Computational Aspects of Lemke's Complementary Algorithm Applied to Linear Programs.” Opsearch, December 1970, pp. 241262.Google Scholar
[10]Ravindran, Arunachalam. “A Computer Routine for Quadratic and Linear Programming Problems.” Communications of the ACM, September 1972, pp. 818820.CrossRefGoogle Scholar
[11]Sharpe, William F.A Simplified Model for Portfolio Analysis.” Management Science, January 1963, pp. 277293.CrossRefGoogle Scholar
[12]Sharpe, William F.A Linear Programming Algorithm for Mutual Fund Portfolio Selection.” Management Science, March 1967, pp. 499510.CrossRefGoogle Scholar
[13]Sharpe, William F.Portfolio Theory and Capital Markets. New York: McGraw-Hill, Inc., 1970.Google Scholar
[14]Sharpe, William F.A Linear Programming Approximation for the General Portfolio Analysis Problem.” Journal of Financial and Quantitative Analysis, December 1971, pp. 12631275.CrossRefGoogle Scholar
[15]Stone, Bernell K.A Linear Programming Formulation of the General Portfolio Selection Problem.” Journal of Financial and Quantitative Analysis, September 1963, pp. 621636.Google Scholar
[16]Tsiang, S. C.The Rationale of the Mean-Standard Deviation Analysis Skewness Preference, and the Demand for Money.” American Economic Review, June 1972, pp. 354371.Google Scholar
[17]Wallingford, Buckner A.A Survey and Comparison of Portfolio Selection Models.” Journal of Financial and Quantitative Analysis, June 1967, pp. 85106.CrossRefGoogle Scholar
[18]Wolfe, Philip. “The Simplex Method for Quadratic Programming.” Econometrica, July 1959, pp. 382398.CrossRefGoogle Scholar