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Optimal portfolio strategy with cross-correlation matrix composed by DCCA coefficients: Evidence from the Chinese stock market

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  • Sun, Xuelian
  • Liu, Zixian

Abstract

In this paper, a new estimator of correlation matrix is proposed, which is composed of the detrended cross-correlation coefficients (DCCA coefficients), to improve portfolio optimization. In contrast to Pearson’s correlation coefficients (PCC), DCCA coefficients acquired by the detrended cross-correlation analysis (DCCA) method can describe the nonlinear correlation between assets, and can be decomposed in different time scales. These properties of DCCA make it possible to improve the investment effect and more valuable to investigate the scale behaviors of portfolios. The minimum variance portfolio (MVP) model and the Mean–Variance (MV) model are used to evaluate the effectiveness of this improvement. Stability analysis shows the effect of two kinds of correlation matrices on the estimation error of portfolio weights. The observed scale behaviors are significant to risk management and could be used to optimize the portfolio selection.

Suggested Citation

  • Sun, Xuelian & Liu, Zixian, 2016. "Optimal portfolio strategy with cross-correlation matrix composed by DCCA coefficients: Evidence from the Chinese stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 667-679.
    • Handle: RePEc:eee:phsmap:v:444:y:2016:i:c:p:667-679
    DOI: 10.1016/j.physa.2015.10.065
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    Cited by:

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    2. Wang, Feng & Ye, Xin & Chen, HongTao & Wu, Congxin, 2021. "A portfolio strategy of stock market based on mean-MF-X-DMA model," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    3. Mohamed Arbi Madani & Zied Ftiti, 2019. "The Generalisation of the DMCA Coefficient to Serve Distinguishing Between Hedge and Safe Haven Capabilities of the Gold," Papers 1912.12590, arXiv.org.
    4. Mohamed Arbi Madani & Zied Ftiti, 2022. "Is gold a hedge or safe haven against oil and currency market movements? A revisit using multifractal approach," Annals of Operations Research, Springer, vol. 313(1), pages 367-400, June.
    5. Zhu, Pengfei & Tang, Yong & Wei, Yu & Dai, Yimin, 2019. "Portfolio strategy of International crude oil markets: A study based on multiwavelet denoising-integration MF-DCCA method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    6. Fei Ren & Ya-Nan Lu & Sai-Ping Li & Xiong-Fei Jiang & Li-Xin Zhong & Tian Qiu, 2017. "Dynamic Portfolio Strategy Using Clustering Approach," PLOS ONE, Public Library of Science, vol. 12(1), pages 1-23, January.
    7. Chen, Yingyuan & Cai, Lihui & Wang, Ruofan & Song, Zhenxi & Deng, Bin & Wang, Jiang & Yu, Haitao, 2018. "DCCA cross-correlation coefficients reveals the change of both synchronization and oscillation in EEG of Alzheimer disease patients," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 171-184.

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