基于动态聚类和遗传算法的跟踪误差优化研究

Research on Tracking Error Minimization Based on Dynamic Clustering and Genetic Algorithm

  • 摘要: 针对传统按相关系数高低进行选股并使用简单的非线性规划进行跟踪误差优化的方法进行改进,以沪深300指数为目标指数,根据动态聚类方法进行选股,基于遗传算法进行优化求解分配最优资金配置权重,在一定约束条件下构建指数投资组合,实现跟踪误差优化目的.实证结果表明,结合动态聚类与遗传算法构建指数投资组合,比传统的相关系数法选股并进行非线性规划求解能得到更小的跟踪误差和更好的目标指数拟合效果,目标指数跟踪拟合效果更为有效.

     

    Abstract: In order to improve the method of stock selection based on correlation coefficient with the order from highness to lowness and the method of optimization based on nonlinear programming, by using the CSI 300 index as the target index, the stock was selected by dynamic clustering. Genetic algorithm was applied to optimize the allocation of funds under certain constraints. The goal of constructing optimal index portfolio with minimized tracking error was achieved. The empirical results show that the combination of dynamic clustering and genetic algorithm in constructing an index portfolio can get smaller tracking error and achieve better simulating effect.

     

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