Using MODEA and MODM with Different Risk Measures for Portfolio Optimization

Portfolio Optimization with Higher Moment Risk Measures

The paper considers modeling of risk-averse preferences in stochastic programming problems using risk measures. We utilize the axiomatic foundation of coherent risk measures and deviation measures in order to develop simple representations that express risk measures via solutions of specially constructed stochastic programming problems. Using the developed representations, we introduce a new fa...

Portfolio Optimization with Quasiconvex Risk Measures

Portfolio optimization with quantile-based risk measures

In this thesis we analyze Portfolio Optimization risk-reward theory, a generalization of the mean-variance theory, in the cases where the risk measures are quantile-based (such as the Value at Risk (V aR) and the shortfall). We show, using multicriteria theory arguments, that if the measure of risk is convex and the measure of reward concave with respect to the allocation vector, then the expec...

Portfolio Optimization with Spectral Measures of Risk

We study Spectral Measures of Risk from the perspective of portfolio optimization. We derive exact results which extend to general Spectral MeasuresMφ the Pflug—Rockafellar—Uryasev methodology for the minimization of α—Expected Shortfall. The minimization problem of a spectral measure is shown to be equivalent to the minimization of a suitable function which contains additional parameters, but ...

Different Risk Measures : Different Portfolio Compositions ?

Traditionally, the measure of risk used in portfolio optimisation models is the variance. However, alternative measures of risk have many theoretical and practical advantages and it is peculiar therefore that they are not used more frequently. This may be because of the difficulty in deciding which measure of risk is best and any attempt to compare different risk measures may be a futile exerci...

Polyhedral risk measures in electricity portfolio optimization

We compare different multiperiod risk measures taken from the class of polyhedral risk measures with respect to the effect they show when used in the objective of a stochastic program. For this purpose, simulation results of a stochastic programming model for optimizing the electricity portfolio of a German municipal power utility are presented and analyzed. This model aims to minimize risk and...