A Mean-Semi-variance Portfolio Optimization Model with Full Transaction Costs

Yuhong Ma, Xuewen Gong, Guilong Tian
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引用次数: 3

Abstract

A mean-semi-variance portfolio optimization model with constraints of cardinality, investment quota, total capital and integer transaction is established, the model can reflect the transaction costs completely. Because the conventional genetic algorithm isn't easy to find feasible solution of portfolio optimization model, a stochastic repair method of an infeasible solution is proposed, which consists of repairs of cardinality, investment quota and total capital constraints. An improved genetic algorithm based the repair of infeasible solution is developed accordingly, which can improve convergence of conventional genetic algorithm. The results of numerical simulation show that the algorithm can solve the model quickly and efficiently.
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全交易成本下的均值-半方差投资组合优化模型
建立了以基数约束、投资额度约束、总资金约束和交易整数约束的均值-半方差投资组合优化模型,该模型能完全反映交易成本。针对传统遗传算法难以找到投资组合优化模型可行解的问题,提出了一种不可行解的随机修复方法,该方法由基数修复、投资额度修复和总资金约束修复组成。在此基础上,提出了一种基于不可行解修复的改进遗传算法,提高了传统遗传算法的收敛性。数值仿真结果表明,该算法能够快速有效地求解该模型。
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