Finding a maximum skewness portfolio - A general solution to three-moments portfolio choice
Considering the three first moments and allowing short sales, the efficient portfolios set for n risky assets and a riskless one is found, supposing that agents like odd moments and dislike even ones. Analytical formulas for the solution surface are obtained and important geometric properties provide insights on its shape in the three dimensional space defined by the moments. A special duality result is needed and proved. The methodology is general, comprising situations in which, for instance, the investor trades a negative skewness for a higher expected return. Computation of the optimum portfolio weights is feasible in most cases.
|Date of creation:||10 Sep 2001|
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- Kraus, Alan & Litzenberger, Robert H, 1976. "Skewness Preference and the Valuation of Risk Assets," Journal of Finance, American Finance Association, vol. 31(4), pages 1085-1100, September.
- Samuelson, Paul A., 1967. "Efficient Portfolio Selection for Pareto-Lévy Investments," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 2(02), pages 107-122, June.
- Ingersoll, Jonathan, 1975. "Multidimensional Security Pricing," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 10(05), pages 785-798, December.
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