Improving skewness of mean-variance portfolios
نویسندگان
چکیده
The widely accepted belief that asset returns and insurance product line margins are not normally distributed has motivated the use of skewness (or higher than second order moments), in the context of optimal risk-reward portfolio allocation. Here, we propose an optimization-based methodology to substantially improve the skewness of portfolios in the mean-variance efficient frontier. Unlike other related methods, the proposed methodology is very intuitive, non-iterative, simple to implement, and it can be readily and efficiently carried out using state of the art optimization solvers. These characteristics should be very appealing to
منابع مشابه
Portfolio Performance Evaluation in a Modified Mean-Variance-Skewness Framework with Negative Data
The present study is an attempt toward evaluating the performance of portfolios using mean-variance-skewness model with negative data. Mean-variance non-linear framework and mean-variance-skewness non- linear framework had been proposed based on Data Envelopment Analysis, which the variance of the assets had been used as an input to the DEA and expected return and skewness were the output. C...
متن کاملMean-Variance-Skewness Portfolio Performance Gauging: A General Shortage Function and Dual Approach
A shortage function is defined that looks for possible increases in return and skewness and decreases in variance. Global optimality is guaranteed for the resulting optimal portfolios. We also establish a link to a proper indirect mean-variance-skewness utility function. For computational reasons, the optimal portfolios resulting from this dual approach are only locally optimal. This framework ...
متن کاملGeometric representation of the mean-variance-skewness portfolio frontier based upon the shortage function
The literature suggests that investors prefer portfolios based on mean, variance and skewness rather than portfolios based on mean-variance (MV) criteria solely. Furthermore, a small variety of methods have been proposed to determine meanvariance-skewness (MVS) optimal portfolios. Recently, the shortage function has been introduced as a measure of efficiency, allowing to characterize MVS optima...
متن کاملSkewness persistence with optimal portfolio selection
Existing studies have found that ex post stock returns are positively skewed, but such skewness is only persistent for individual stocks, not for portfolios. This implies that the ex post knowledge of skewness may not be useful in ex ante portfolio selection. However, the portfolios in these studies are not optimally formed because preferences for skewness are not taken into consideration when ...
متن کاملEstimating skewness persistence in market returns
Recent researches on stock market volatility have found considerable empirical evidence for the persistence of variance in stock market returns. The ARCH and unit root models in different versions analysed by Engle and Bollerslev (1986), Schwert (1989) and Nelson (1991) have usually discussed the conditional variance process as a function of lagged variance, where the skewness of the return dis...
متن کامل