A STUDY OF FRACTAL DUAL MOMENTUM INVESTMENT STRATEGY UNDER THE CONSTRAINT OF MULTI-FRACTAL CHARACTERISTICS OF STOCK MARKET

Fractals Pub Date : 2024-02-23 DOI:10.1142/s0218348x24500415
XU WU, PEIYU WANG, CHI YANG, YAN XIAO
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Abstract

Since the discovery of momentum effect, people have started the journey of using the momentum effect to construct momentum strategies. As a result of coupling cross-sectional and time-series momentum strategy, dual momentum strategy (DM strategy) has been widely used in practice and closely followed by academics. To address the shortcoming of the classical DM strategy that has not considered the multi-fractal characteristics of the stock market, we construct the fractal dual momentum strategy (FDM strategy) from the two aspects of optimizing the ranking index of the cross-sectional momentum strategy by using fractal statistical measures and improving the timing selection of the time-series momentum strategy by using the trend entropy dimension. The empirical results show that the FDM strategy outperforms the DM strategy. Both in terms of the size and stability of the strategy returns, the FDM strategy shows an optimization effect compared with the DM strategy, which is beneficial to provide investors with better decision-making references.

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股市多分形特征约束下的分形双动量投资策略研究
自动量效应被发现以来,人们就开始了利用动量效应构建动量策略的历程。作为横截面动量策略与时间序列动量策略耦合的结果,双动量策略(DM 策略)在实践中得到了广泛应用,并受到学术界的密切关注。针对经典 DM 策略未考虑股市多分形特征的缺陷,我们从利用分形统计量优化横截面动量策略的排名指标和利用趋势熵维改进时序动量策略的择时两个方面构建了分形双动量策略(FDM 策略)。实证结果表明,FDM 策略优于 DM 策略。无论从策略收益的大小还是稳定性来看,FDM 策略都比 DM 策略表现出优化效果,有利于为投资者提供更好的决策参考。
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