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Chinese Journal of Management Science ›› 2020, Vol. 28 ›› Issue (10): 24-35.doi: 10.16381/j.cnki.issn1003-207x.2020.10.003

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Portfolio Strategy Based on Wavelet-High Order Moments model-Take the International Crude Oil Markets as An Research Objects

ZHU Peng-fei1,2,3, TANG Yong1,2,3, ZHONG Li1,2   

  1. 1. School of Economics & Management, Fuzhou University, Fuzhou 350116, China;
    2. Key Laboratory of Financial Mathematics(Putian University), Province University, Fujian Putian 351100, China;
    3. Fujian Provincial Key Laboratory of finance and technology innovation, Fuzhou 350116, China
  • Received:2018-08-05 Revised:2018-11-26 Online:2020-10-20 Published:2020-11-11

Abstract: The existing high-order moments portfolio model doesn't take into account the heterogeneity of investors, ignoring the value of multiple time-scales, which is difficult to meet the investors' diversified needs. Therefore, the Maximal Overlap Discrete Wavelet Transform method is combined with the high-order moments portfolio framework to propose the Wavelet-High-order moments portfolio model. By constructing high-order moments portfolios after decomposing the time series, this model can meet the diversified needs of investors in different trading cycles. Then, using the idea of "first decompose and then integrate", a high-frequency scale integration scheme from the frequency domain perspective and a full-scale integration scheme from the time-frequency domain perspective based on the Wavelet-High-order moments portfolio model are proposed. In addition, according to the different risk preference of investors, the appropriate risk features are selected to improve model. Finally, the stability test is carried out. In view of the drastic fluctuation of international crude oil markets, the effect of the portfolio model is tested based on the data of the international crude oil markets. WTI, Brent and Dubai Crude Oil are taken as the research objects. The time spans from October 11th, 2006 to May 16th, 2018, with a total of 2800 trading days after deleting non-common trading days. The data of WTI and Brent are obtained from EIA, and the data of Dubai Crude Oil is obtained from Phoenix Financial Network. The results of the out-of-sample test indicate that, compared with the control groups, most of the Wavelet-High-order moments portfolio strategies have achieved better investment results, with the integration part performing best. And the high-frequency scale integration scheme focuses on improving revenue, while the full-scale integration scheme focuses on reducing fluctuation. By selecting appropriate preference characterristics, the original Wavelet-High-order moments portfolio strategy will be significantly improved, and the improvement effect of the two integration schemes is most significant; The robustness test confirms the above conclusions. This study broadens the research scope of high-order moments portfolio theory, and has theoretical value and practical significance for investors in crude oil market to optimize asset allocation, prevent and resolve market risks.

Key words: Wavelet-High order moments Portfolio strategy, integrated solutions, risk preference features, international crude oil markets

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