Gioia Daniele G, Fior Jacopo, Cagliero Luca
Department of Mathematical Sciences, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy.
Department of Control and Computer Engineering, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy.
Knowl Inf Syst. 2023;65(6):2485-2508. doi: 10.1007/s10115-023-01832-7. Epub 2023 Jan 31.
Driving the decisions of stock market investors is among the most challenging financial research problems. Markowitz's approach to portfolio selection models stock profitability and risk level through a mean-variance model, which involves estimating a very large number of parameters. In addition to requiring considerable computational effort, this raises serious concerns about the reliability of the model in real-world scenarios. This paper presents a hybrid approach that combines itemset extraction with portfolio selection. We propose to adapt Markowitz's model logic to deal with sets of candidate portfolios rather than with single stocks. We overcome some of the known issues of the Markovitz model as follows: (i) : we reduce the model complexity, in terms of parameter estimation, by studying the interactions among stocks within a shortlist of candidate stock portfolios previously selected by an itemset mining algorithm. (ii) : we not only perform stock-level selection, but also support the enforcement of arbitrary constraints at the portfolio level, including the properties of diversification and the fundamental indicators. (iii) : we simplify the decision-maker's work by proposing a decision support system that enables flexible use of domain knowledge and human-in-the-loop feedback. The experimental results, achieved on the US stock market, confirm the proposed approach's flexibility, effectiveness, and scalability.
驱动股票市场投资者的决策是最具挑战性的金融研究问题之一。马科维茨的投资组合选择方法通过均值-方差模型对股票盈利能力和风险水平进行建模,这涉及估计大量参数。除了需要大量的计算工作外,这还引发了对该模型在现实场景中可靠性的严重担忧。本文提出了一种将项目集提取与投资组合选择相结合的混合方法。我们建议调整马科维茨的模型逻辑,以处理候选投资组合集而非单个股票。我们通过以下方式克服了马科维茨模型的一些已知问题:(i):通过研究由项目集挖掘算法预先选择的候选股票投资组合入围名单内股票之间的相互作用,我们在参数估计方面降低了模型复杂性。(ii):我们不仅进行股票层面的选择,还支持在投资组合层面实施任意约束,包括分散化属性和基本面指标。(iii):我们通过提出一个决策支持系统来简化决策者的工作,该系统能够灵活使用领域知识和人在回路反馈。在美国股票市场上取得的实验结果证实了所提方法的灵活性、有效性和可扩展性。