In this paper, the conventional mean–variance method is revised to determine the optimal portfolio selection under the uncertain situation. The possibilistic area of the return rate is first derived using the possibisitic regression model. Then, the Mellin transformation is employed to obtain the mean and the risk by considering the uncertainty. Next, the revised mean–variance model is proposed...

In the context of asset and liability management, we propose a portfolio selection model based on the expected return of the assets and the economic risk capital (ERC) associated to the asset liability portfolio, for short called mean-ERC asset liability portfolio selection. MeanERC efficiency in asset and liability management is closely related and compared to meanvariance efficiency in asset ...

This paper presents an implementation of the Imperialist Competitive Algorithm (ICA) for solving the fuzzy random portfolio selection problem where the asset returns are represented by fuzzy random variables. Portfolio Optimization is an important research field in modern finance. By using the necessity-based model, fuzzy random variables reformulate to the linear programming and ICA will be de...

The Mean-variance framework proposed by Markowitz is the most common model for portfolio selection problem. The most important concept in his theory is diversification. Diversification means designing an investment portfolio that reduces exposure risk by combining a variety of investments. But actually, the portfolios’ weights are often extremely concentrated on few assets when using mean-varia...

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Starting from the reward-risk model for portfolio selection introduced in De Giorgi (2004), we derive the reward-risk Capital Asset Pricing Model (CAPM) analogously to the classical mean-variance CAPM. The reward-risk portfolio selection arises from an axiomatic definition of reward and risk measures based on few basic principles, including consistency with second order stochastic dominance. Wi...

The aim of this paper is to propose a portfolio selection methodology capable take into account asset tail co-movements as additional constraints in Markowitz model. We apply the observed time series 10 largest crypto assets, terms market capitalization, over period 20 September 2017–31 December 2020 (1200 daily observations). results indicate that portfolios selected considering risk are more ...

The stochastic nature of financial markets is a barrier for successful portfolio management. Besides traditional Markowitz’s model, many other portfolio selection models in Bayesian and Non-Bayesian frameworks have been developed. Starting with the basic Markowitz model, several cardinal models are used to find optimum portfolios with select stock set. Having developed the regression model of t...