Wavelet-based methods for high-frequency lead-lag analysis

Takaki Hayashi, Yuta Koike

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


We propose a novel framework to investigate lead-lag relationships between two financial assets. Our framework bridges a gap between continuous-time modeling based on Brownian motion and the existing wavelet methods for lead-lag analysis based on discrete-time models and enables us to analyze the multiscale structure of lead-lag effects. We also present a statistical methodology for the scale-by-scale analysis of lead-lag effects in the proposed framework and develop an asymptotic theory applicable to a situation including stochastic volatilities and irregular sampling. Finally, we report several numerical experiments to demonstrate how our framework works in practice.

Original languageEnglish
Pages (from-to)1208-1248
Number of pages41
JournalSIAM Journal on Financial Mathematics
Issue number4
Publication statusPublished - 2018


  • Brownian motion
  • High-frequency data
  • Lead-lag effect
  • Multiscale modeling
  • Wavelet

ASJC Scopus subject areas

  • Numerical Analysis
  • Finance
  • Applied Mathematics


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