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Dynamic correlations at different time-scales with empirical mode decomposition

Author

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  • Nava, Noemi
  • Di Matteo, T.
  • Aste, Tomaso

Abstract

We introduce a simple approach which combines Empirical Mode Decomposition (EMD) and Pearson’s cross-correlations over rolling windows to quantify dynamic dependency at different time scales. The EMD is a tool to separate time series into implicit components which oscillate at different time-scales. We apply this decomposition to intraday time series of the following three financial indices: the S&P 500 (USA), the IPC (Mexico) and the VIX (volatility index USA), obtaining time-varying multidimensional cross-correlations at different time-scales. The correlations computed over a rolling window are compared across the three indices, across the components at different time-scales and across different time lags. We uncover a rich heterogeneity of interactions, which depends on the time-scale and has important lead–lag relations that could have practical use for portfolio management, risk estimation and investment decisions.

Suggested Citation

  • Nava, Noemi & Di Matteo, T. & Aste, Tomaso, 2018. "Dynamic correlations at different time-scales with empirical mode decomposition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 534-544.
    • Handle: RePEc:eee:phsmap:v:502:y:2018:i:c:p:534-544
    DOI: 10.1016/j.physa.2018.02.108
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    References listed on IDEAS

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    6. Mao, Xuegeng & Yang, Albert C. & Peng, Chung-Kang & Shang, Pengjian, 2020. "Analysis of economic growth fluctuations based on EEMD and causal decomposition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).
    7. Qing Peng & Fenghua Wen & Xu Gong, 2021. "Time‐dependent intrinsic correlation analysis of crude oil and the US dollar based on CEEMDAN," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 26(1), pages 834-848, January.
    8. Miriam Sosa & Edgar Ortiz & Alejandra Cabello, 2022. "ESG Green Equity Finance Risk and Links in Mexico: Conditional Volatility and Markov Switching Vector Analyses," Remef - Revista Mexicana de Economía y Finanzas Nueva Época REMEF (The Mexican Journal of Economics and Finance), Instituto Mexicano de Ejecutivos de Finanzas, IMEF, vol. 17(4), pages 1-21, Octubre -.
    9. Chengzhao, Zhang & Heping, Pan & Yu, Ma & Xun, Huang, 2019. "Analysis of Asia Pacific stock markets with a novel multiscale model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).

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