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Cross-correlating wavelet coefficients with applications to high-frequency financial time series

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  • Hafner, Christian

Abstract

This paper uses a new concept in wavelet analysis to explore a financial transaction data set including returns, durations, and volume. The concept is based on a decomposition of the Allan covariance of two series into cross-covariances of wavelet coefficients, which allows a natural interpretation of cross-correlations in terms of frequencies. It is applied to financial transaction data including returns, durations between transactions, and trading volume. At high frequencies, we find significant spillover from durations to volume and a strong contemporaneous relation between durations and returns, whereas a strong causality between volume and volatility exists at various frequencies.
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Suggested Citation

  • Hafner, Christian, 2012. "Cross-correlating wavelet coefficients with applications to high-frequency financial time series," LIDAM Reprints ISBA 2012027, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    • Handle: RePEc:aiz:louvar:2012027
    Note: In : Journal of Applied Statistics, vol. 39, no. 6, p. 1363-1379 (2012)
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    Cited by:

    1. Takaki Hayashi & Yuta Koike, 2017. "Multi-scale analysis of lead-lag relationships in high-frequency financial markets," Papers 1708.03992, arXiv.org, revised May 2020.
    2. Takaki Hayashi & Yuta Koike, 2016. "Wavelet-based methods for high-frequency lead-lag analysis," Papers 1612.01232, arXiv.org, revised Nov 2018.
    3. Concepción González-Concepción & María Candelaria Gil-Fariña & Celina Pestano-Gabino, 2018. "Wavelet power spectrum and cross-coherency of Spanish economic variables," Empirical Economics, Springer, vol. 55(2), pages 855-882, September.

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