Using genetic algorithm to construct a momentum-based stock fund

Q4 Mathematics
Koda Song, Song Tang
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Abstract

Portfolio optimization is an important research field in modern finance. An important goal in portfolio optimization is to maximize risk-adjusted returns. In addition, momentum investing has gained a wide acceptance by asset managers. Besides, genetic algorithms (GA), which are based on the ideas of evolution and the concepts of Darwin’s natural selection, have been widely used to generate high-quality solutions to optimization problems. In this paper, we propose an approach using genetic algorithms to construct a momentum-based 130-30 stock fund. We use the Sharpe Ratio as the fitness function for portfolio evaluation and a Mean-Variance Model with Monte Carlo simulation to optimize the portfolio’s long and short positions. Using 2020 market data for the S&P500, our fund outperforms a variety of stock portfolios as well as the S&P500 ETF Fund SPY measured by Total Return, Sharpe Ratio, and Information Ratio.
利用遗传算法构建动量型股票基金
投资组合优化是现代金融学的一个重要研究领域。投资组合优化的一个重要目标是使风险调整后的收益最大化。此外,动量投资已被资产管理公司广泛接受。此外,基于进化思想和达尔文自然选择思想的遗传算法(genetic algorithms, GA)已被广泛应用于生成高质量的优化问题解。本文提出了一种利用遗传算法构建基于动量的130-30股票基金的方法。我们使用夏普比率作为投资组合评估的适应度函数,并使用蒙特卡罗模拟的均值-方差模型来优化投资组合的多头和空头头寸。使用标准普尔500指数2020年的市场数据,我们的基金表现优于各种股票投资组合以及标准普尔500 ETF基金SPY(以总回报、夏普比率和信息比率衡量)。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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