Investors might prefer to consider the problem of minimizing the semivariance of a portfolio given a certain benchmark rather than the variance, as in such case only the downside volatility is considered as risk. However, such optimization framework has received limited attention compared to the...

Mean-variance portfolio optimization is more popular than optimization procedures that employ downside risk measures such as the semivariance, despite the latter being more in line with the preferences of a rational investor. We describe strengths and weaknesses of semivariance and how to...

Mean-variance portfolio optimization is more popular than optimization procedures that employ downside risk measures such as the semivariance, despite the latter being more in line with the preferences of a rational investor. We describe strengths and weaknesses of semivariance and how to...

Exact analytical solutions to the problem of computing a minimum semivariance portfolio cannot be obtained due to the endogeneity of the semicovariance matrix. However, when the number of assets is small, the weights for such a portfolio can be determined numerically. This paper presents the R...

Mean-semivariance and minimum semivariance portfolios are a preferable alternative to mean-variance and minimum variance portfolios whenever the asset returns are not symmetrically distributed. However, similarly to other portfolios based on downside risk measures, they typically perform poorly...

Mean-variance portfolio optimization is more popular than optimization procedures that employ downside risk measures like the semivariance, despite the latter being more in line with the preferences of a rational investor. We describe strengths and weaknesses of semivariance and how to minimize...