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Agglomerative clustering and genetic algorithm in portfolio optimization

机译:投资组合优化中的凝聚聚类和遗传算法

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Creating and managing a successful stock portfolio are a difficult and challenging practice caused by the uncertainty created by the fluctuation of the stocks and the randomness in the market itself. Portfolio diversification, as stated in modern portfolio theory, is a go-to solution to manage risks. The purpose of portfolio diversification is to reduce the return's variance compared with a single stock investment or undiversified portfolio. The primary motivation of this research is to investigate the portfolio selection strategies through clustering and application of genetic algorithm. Cluster analysis serves as a method to cluster assets with similar financial ratio scores which is the scores of Earnings/Share (EPS), Price/Earnings Ratio (PER), Price/Earnings to Growth (PEG), Return on Asset (ROA), Return on Equity (ROE), and Debt to Equity Ratio (DER). By clustering method, homogeneous clusters are produced and can be used in diversifying portfolio. In this paper, Agglomerative Clustering (AC) is used as the clustering method. Then Genetic Algorithm (GA) will be applied to each resulting cluster to obtain the optimal proportion of each stock in the portfolio. Genetic algorithm is a searching algorithm based on genetic principles and natural selection. The performance of Genetic Algorithm combined with Agglomerative Clustering (ACGA) in portfolio optimization, evaluated based on some actual datasets, gives a portfolio with bigger expected return than a portfolio constructed with only Genetic Algorithm or a portfolio constructed by uniformly weighted stock.
机译:创建和管理成功的股票组合是由股票波动和市场本身随机性产生的不确定性引起的困难和挑战性的实践。产品组合多样化,如现代产品组合理论所述,是一种管理风险的进一步解决方案。组合多样化的目的是减少与单一股票投资或缺乏多样化的组合相比的返回方差。该研究的主要动机是通过遗传算法的聚类和应用来研究组合选择策略。群集分析作为具有相似财务比率分数的群集资产的方法,该分数是收益/股份(EPS),价格/收益比率(每),价格/增长(PEG)的收益(销售),资产返回(ROA),股权返回(ROE),债务兑换股权(DER)。通过聚类方法,产生均匀簇,可用于多样化的产品组合。在本文中,凝聚聚类(AC)用作聚类方法。然后遗传算法(GA)将应用于每个所得群集以获得产品中每股股票的最佳比例。遗传算法是一种基于遗传原理和自然选择的搜索算法。基于一些实际数据集的组合优化中遗传算法与附聚类聚类(ACGA)相结合的性能,该组合提供了比仅由遗传算法或由均匀加权股票构建的产品组合构建的投资组合的最高预期回报的产品组合。

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