Mean-Variance-Skewness Portfolio Performance Gauging: A General Shortage Function and Dual Approach

Published Online:https://doi.org/10.1287/mnsc.1060.0596

References

  • Arditti F., Levy H. Portfolio efficiency analysis in three moments: The multiperiod case. J. Finance (1975) 30:797–809Google Scholar
  • Athayde G., Flôres R., Satchell S., Scowcroft A. Incorporating skewness and kurtosis in portfolio optimization: A multidimensional efficient set. Advances in Portfolio Construction and Implementation (2003) (Butterworth-Heinemann, Oxford, UK) 243–257CrossrefGoogle Scholar
  • Athayde G., Flôres R. Finding a maximum skewness portfolio: A general solution to three-moments portfolio choice. J. Econom. Dynam. Control (2004) 28:1335–1352CrossrefGoogle Scholar
  • Briec W., Kerstens K., Lesourd J.-B. Single period Markowitz portfolio selection, performance gauging and duality: A variation on the Luenberger shortage function. J. Optim. Theory Appl. (2004) 120:1–27CrossrefGoogle Scholar
  • Brockett P. L., Kahane Y. Risk, return, skewness and preference. Management Sci. (1992) 38:851–866LinkGoogle Scholar
  • Chunhachinda P., Dandapani K., Hamid S., Prakash A. J. Portfolio selection and skewness: Evidence from international stock markets. J. Banking Finance (1997) 21:143–167CrossrefGoogle Scholar
  • Deaton A. The distance function in consumer behaviour with applications to index numbers and optimal taxation. Rev. Econom. Stud. (1979) 46:391–405CrossrefGoogle Scholar
  • Farrar D. E.The Investment Decision Under Uncertainty (1962) (Prentice-Hall, Englewood Cliffs, NJ) Google Scholar
  • Fiacco A. V., McGormick G. P.Nonlinear Programming: Sequential Unconstrained Minimization Techniques (1968) (John Wiley, New York) Google Scholar
  • Harvey C. R., Liechty J. C., Liechty M. W., Müller P. Portfolio selection with higher moments. (2003) . Mimeo, Drexel University, Philadelphia, PAGoogle Scholar
  • Jensen M. The performance of mutual funds in the period 1945–1964. J. Finance (1968) 23:389–416CrossrefGoogle Scholar
  • Jobst N. J., Horniman M. D., Lucas C. A., Mitra G. Computational aspects of alternative portfolio selection models in the presence of discrete asset choice constraints. Quant. Finance (2001) 1:489–501CrossrefGoogle Scholar
  • Jondeau E., Rockinger M. Optimal portfolio allocation under higher moments. Eur. Financial Management (2006) 12:29–55CrossrefGoogle Scholar
  • Joro T., Na P. Portfolio performance evaluation in mean-variance-skewness framework. Eur. J. Oper. Res. (2006) 175(1):516–542CrossrefGoogle Scholar
  • Kane A. Skewness preference and portfolio choice. J. Financial Quant. Anal. (1982) 17:15–25CrossrefGoogle Scholar
  • Kimball M. S. Precautionary saving in the small and in the large. Econometrica (1990) 58:53–73CrossrefGoogle Scholar
  • Konno H., Suzuki K. A mean-variance-skewness portfolio optimization model. J. Oper. Res. Soc. Japan (1995) 38:173–187Google Scholar
  • Kraus A., Litzenberger R. H. Skewness preference and the valuation of risky assets. J. Finance (1976) 31:1085–1100Google Scholar
  • Lai T. Y. Portfolio selection with skewness: A multiple-objective approach. Rev. Quant. Finance Accounting (1991) 1:293–305CrossrefGoogle Scholar
  • Lien G. Non-parametric estimation of decision makers’ risk aversion. Agricultural Econom. (2002) 27:75–83CrossrefGoogle Scholar
  • Lintner J. The valuation of risk assets and the selection of risky investment in stock portfolios and capital budgets. Rev. Econom. Statist. (1965) 47:13–37CrossrefGoogle Scholar
  • Luenberger D. G.Linear and Nonlinear Programming (1984) 2nd ed.(Addison-Wesley, Reading, MA) Google Scholar
  • Luenberger D. G. New optimality principles for economic efficiency and equilibrium. J. Optim. Theory Appl. (1992) 75:221–264CrossrefGoogle Scholar
  • Luenberger D. G.Microeconomic Theory (1995) (McGraw-Hill, New York) Google Scholar
  • Markowitz H. Portfolio selection. J. Finance (1952) 7:77–91Google Scholar
  • Markowitz H.Portfolio Selection: Efficient Diversification of Investments (1959) (John Wiley, New York) Google Scholar
  • Markowitz H. Foundations of portfolio theory. J. Finance (1991) 46:469–478CrossrefGoogle Scholar
  • Morey M. R., Morey R. C. Mutual fund performance appraisals: A multi-horizon perspective with endogenous benchmarking. Omega (1999) 27:241–258CrossrefGoogle Scholar
  • Philippatos G. C., Bicksler J. L. Alternatives to mean-variance for portfolio selection. Handbook of Financial Economics (1979) (North-Holland, Amsterdam, The Netherlands) 365–386Google Scholar
  • Pogue G. An extension of the Markowitz portfolio selection model to include variable transactions’ costs, short sales, leverage policies and taxes. J. Finance (1970) 25:1005–1027CrossrefGoogle Scholar
  • Prakash A., Chang C.-H., Pactwa E. Selecting a portfolio with skewness: Recent evidence from US, European, and Latin America equity markets. J. Banking Finance (2003) 27:1375–1390CrossrefGoogle Scholar
  • Rudd A., Rosenberg B., Elton E. J., Gruber M. J. Realistic portfolio optimization. Portfolio Theory, 25 Years After (1979) (North-Holland, Amsterdam, The Netherlands) 21–46Google Scholar
  • Samuelson P. A. General proof that diversification pays. J. Financial Quant. Anal. (1967) 2:1–13CrossrefGoogle Scholar
  • Samuelson P. A. The fundamental approximation theorem of portfolio analysis in terms of means, variances and higher moments. Rev. Econom. Stud. (1970) 37:537–542CrossrefGoogle Scholar
  • Scott R. C., Horvath P. A. On the direction of preference for moments of higher order than the variance. J. Finance (1980) 35:915–919CrossrefGoogle Scholar
  • Sharpe W. A simplified model for portfolio analysis. Management Sci. (1963) 9:277–293LinkGoogle Scholar
  • Sharpe W. Capital asset prices: A theory of market equilibrium under condition of risk. J. Finance (1964) 19:425–442Google Scholar
  • Sharpe W. Mutual fund performance. J. Bus. (1966) 39:119–138CrossrefGoogle Scholar
  • Simar L., Wilson P. W. A general methodology for bootstrapping in non-parametric frontier models. J. Appl. Statist. (2000) 27:779–802CrossrefGoogle Scholar
  • Simkowitz M. A., Beedles W. L. Diversification in a three-moment world. J. Financial Quant. Anal. (1978) 13:927–941CrossrefGoogle Scholar
  • Sun Q., Yan Y. Skewness persistence with optimal portfolio selection. J. Banking Finance (2003) 27:1111–1121CrossrefGoogle Scholar
  • Treynor J. L. How to rate management of investment funds. Harvard Bus. Rev. (1965) 43:63–75Google Scholar
  • Wang S., Xia Y.Portfolio Selection and Asset Pricing (2002) (Springer, Berlin, Germany) CrossrefGoogle Scholar
  • Womersley R. S., Lau K., May R. L., Easton A. K. Portfolio optimisation problems. Computational Techniques and Applications: CTAC95 (1996) (World Scientific Publishing, Singapore) 795–802Google Scholar
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