arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2307.04754cs.LGq-fin.PMstat.MEstat.ML
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动作-状态依赖的动态模型选择

Dynamic Strategy Selection

Royal Holloway University of London(伦敦大学皇家霍洛威学院)

Francesco Cordoni, Alessio Sancetta, Yuqian Zhao

AI总结:

针对模型切换有成本、仅在特定状态下最优的问题,提出用强化学习算法估计动态模型选择的最优策略,实证显示在带再平衡成本的投资组合场景中表现优于事后选优的方法。

摘要:

众多模型中,某一模型可能仅在特定世界状态下表现最优。在不同模型间切换也会产生成本。在此类情形下寻找动态选择模型的流程,需要解决复杂的估计流程和一个动态规划问题。研究采用一种强化学习算法,从数据中近似估计该动态规划问题的最优解。理论证明,该算法能一致估计可基于一组协变量选择不同模型的最优策略。典型应用场景是利用宏观经济信息、在考虑再平衡成本的情况下在不同投资组合模型间切换。基于一组宏观经济变量和价格数据,针对上述投资组合问题的实证应用显示,其表现优于事后选择最优投资组合模型的方法。

英文摘要:

We consider the problem of dynamically selecting among competing strategies using observable predictors. To mitigate estimation noise and excessive switching, we regularise the estimated policy with a switching cost, which may exceed actual transaction costs when these are too small to provide sufficient regularisation. Since switching costs make current choices affect future decisions, we formulate the problem using dynamic programming. The optimal policy is estimated using a reinforcement learning algorithm based on iterated regressions, making the procedure simple to implement. We apply the method to monthly rotation among momentum, value, profitability, and defensive U.S. equity factors over a sample of about 60 years. Using a parsimonious set of state variables, the estimated policy outperforms both the myopic dynamic policy and the best fixed factor in hindsight in out-of-sample evaluation. Under weak conditions, we show theoretically that the decision rule estimated from empirical data is asymptotically consistent for the unknown optimal decision rule. Simulation results illustrate the finite-sample relevance of these asymptotic results.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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