Deep Learning for Portfolio Optimization

Zihao Zhang, S. Zohren, Stephen J. Roberts
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引用次数: 51

Abstract

In this article, the authors adopt deep learning models to directly optimize the portfolio Sharpe ratio. The framework they present circumvents the requirements for forecasting expected returns and allows them to directly optimize portfolio weights by updating model parameters. Instead of selecting individual assets, they trade exchange-traded funds of market indexes to form a portfolio. Indexes of different asset classes show robust correlations, and trading them substantially reduces the spectrum of available assets from which to choose. The authors compare their method with a wide range of algorithms, with results showing that the model obtains the best performance over the testing period of 2011 to the end of April 2020, including the financial instabilities of the first quarter of 2020. A sensitivity analysis is included to clarify the relevance of input features, and the authors further study the performance of their approach under different cost rates and different risk levels via volatility scaling. TOPICS: Exchange-traded funds and applications, mutual fund performance, portfolio construction Key Findings • In this article, the authors utilize deep learning models to directly optimize the portfolio Sharpe ratio. They present a framework that bypasses traditional forecasting steps and allows portfolio weights to be optimized by updating model parameters. • The authors trade exchange-traded funds of market indexes to form a portfolio. Doing this substantially reduces the scope of possible assets to choose from, and these indexes have shown robust correlations. • The authors backtest their methods from 2011 to the end of April 2020, including the financial instabilities due to COVID-19. Their model delivers good performance under transaction costs, and a detailed study shows the rationality of their approach during the crisis.
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投资组合优化的深度学习
在本文中,作者采用深度学习模型直接优化投资组合的夏普比率。他们提出的框架规避了预测预期收益的要求,并允许他们通过更新模型参数直接优化投资组合权重。他们不是选择单个资产,而是交易市场指数的交易所交易基金(etf),形成投资组合。不同资产类别的指数显示出强大的相关性,交易它们大大减少了可供选择的可用资产范围。作者将他们的方法与多种算法进行了比较,结果表明,该模型在2011年至2020年4月底的测试期间(包括2020年第一季度的金融不稳定)获得了最佳性能。通过敏感性分析来明确输入特征的相关性,并通过波动率尺度进一步研究了该方法在不同成本率和不同风险水平下的性能。•在本文中,作者利用深度学习模型直接优化投资组合的夏普比率。他们提出了一个框架,绕过传统的预测步骤,并允许通过更新模型参数来优化投资组合权重。•作者交易交易所交易基金的市场指数形成一个投资组合。这样做大大减少了可供选择的可能资产的范围,并且这些指数已经显示出强大的相关性。•作者从2011年到2020年4月底对他们的方法进行了回溯测试,包括COVID-19造成的金融不稳定。他们的模型在交易成本下具有良好的表现,详细研究表明他们的方法在危机时期的合理性。
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