2011
DOI: 10.4236/jmf.2011.13017
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The Optimal Portfolio Model Based on Mean-CVaR

Abstract: This paper proposed the optimal portfolio model maximizing returns and minimizing the risk expressed as CvaR under the assumption that the portfolio yield subject to heavy tail. We use fuzzy mathematics method to solve the multi-objectives model, and compare the model results to the case under the normal distribution yield assumption based on the portfolio VAR through empirical research. It is showed that our return is approximate to M-V model but risk is higher than M-V model. So it is illustrated that CVaR p… Show more

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Cited by 5 publications
(6 citation statements)
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“…The problem involves multi-objective optimization, and two optimization targets are considered in the proposed model. Although some algorithms, such as the Pareto solution set method [24] and the lexicographic method [25], are efficient for solving multi-objective optimization, the linear weighting-sum method [26] is used here for its better practicability and convenience. The two optimization goals are first normalized to the same range and then processed into a single objective function.…”
Section: Objective Functionmentioning
confidence: 99%
“…The problem involves multi-objective optimization, and two optimization targets are considered in the proposed model. Although some algorithms, such as the Pareto solution set method [24] and the lexicographic method [25], are efficient for solving multi-objective optimization, the linear weighting-sum method [26] is used here for its better practicability and convenience. The two optimization goals are first normalized to the same range and then processed into a single objective function.…”
Section: Objective Functionmentioning
confidence: 99%
“…where the belief degree of set is equal to 0.95. In addition, in CVaR formula after linearization [16,17] we havẽ…”
Section: Mvc Model Of Portfolio Based On Lwsmmentioning
confidence: 99%
“…and ( , ) is the loss function which can be defined [16] by ( , ) = − . We can rewrite (19) according to the assumptions above as follows:…”
Section: Mvc Model Of Portfolio Based On Lwsmmentioning
confidence: 99%
See 1 more Smart Citation
“…While considering the risk of extreme loss, VaR and Conditional Value-at-Risk (CVaR), etc. are widely used, see, Guo and Li (2009) [10], Xu et al (2016) [11], Banihashemi (2017) [12], Yu et al (2011) [13] and the references therein. In particular, CVaR has attracted more attention since it has good theoretical properties, which is consistent with financial practice, see Artzner et al (1999) [14].…”
Section: Introductionmentioning
confidence: 99%