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Portfolio optimization based on empirical mode decomposition

Author

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  • Yang, Li
  • Zhao, Longfeng
  • Wang, Chao

Abstract

The investigation about the cross-correlation among financial assets has drawn broad attention recently. Due to the nonlinear and non-stationary identities of the financial time series, e.g., stock return time series, the cross-correlation for different level of fluctuations are quite important for both academia and financial practitioners. Here we use the empirical mode decomposition (EMD) method to analyze the cross-correlation structure among different level of fluctuations for financial assets. The correlation-based networks are then employed to determine the clustering property of stock market. We then propose several portfolio optimization strategies based on the EMD correlation-based networks. Using the topological information of the networks, we can construct some portfolios with high return and low risk. Under two portfolio evaluation frameworks, we prove that these portfolios have consistently good performance.

Suggested Citation

  • Yang, Li & Zhao, Longfeng & Wang, Chao, 2019. "Portfolio optimization based on empirical mode decomposition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 531(C).
    • Handle: RePEc:eee:phsmap:v:531:y:2019:i:c:s0378437119309975
    DOI: 10.1016/j.physa.2019.121813
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    Citations

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    Cited by:

    1. Wang, Jie & Wang, Jun, 2020. "Cross-correlation complexity and synchronization of the financial time series on Potts dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).
    2. Gao, Yang & Zhao, Kun & Wang, Chao & Liu, Chao, 2020. "The dynamic relationship between internet attention and stock market liquidity: A thermal optimal path method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 550(C).
    3. Vera Ivanyuk, 2022. "Methodology for Constructing an Experimental Investment Strategy Formed in Crisis Conditions," Economies, MDPI, vol. 10(12), pages 1-19, December.
    4. Manrui Jiang & Lifen Jia & Zhensong Chen & Wei Chen, 2022. "The two-stage machine learning ensemble models for stock price prediction by combining mode decomposition, extreme learning machine and improved harmony search algorithm," Annals of Operations Research, Springer, vol. 309(2), pages 553-585, February.
    5. Luo, Changqing & Liu, Lan & Wang, Da, 2021. "Multiscale financial risk contagion between international stock markets: Evidence from EMD-Copula-CoVaR analysis," The North American Journal of Economics and Finance, Elsevier, vol. 58(C).
    6. Al Janabi, Mazin A.M. & Ferrer, Román & Shahzad, Syed Jawad Hussain, 2019. "Liquidity-adjusted value-at-risk optimization of a multi-asset portfolio using a vine copula approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
    7. Mengting Li & Qifa Xu & Cuixia Jiang & Qinna Zhao, 2023. "The role of tail network topological characteristic in portfolio selection: A TNA‐PMC model," International Review of Finance, International Review of Finance Ltd., vol. 23(1), pages 37-57, March.

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