Testing for Jump Spillovers Without Testing for Jumps

Valentina Corradi, Walter Distaso, Marcelo Fernandes

Research output: Contribution to journalArticlepeer-review

Abstract

This article develops statistical tools for testing conditional independence among the jump components of the daily quadratic variation, which we estimate using intraday data. To avoid sequential bias distortion, we do not pretest for the presence of jumps. If the null is true, our test statistic based on daily integrated jumps weakly converges to a Gaussian random variable if both assets have jumps. If instead at least one asset has no jumps, then the statistic approaches zero in probability. We show how to compute asymptotically valid bootstrap-based critical values that result in a consistent test with asymptotic size equal to or smaller than the nominal size. Empirically, we study jump linkages between US futures and equity index markets. We find not only strong evidence of jump cross-excitation between the SPDR exchange-traded fund and E-mini futures on the S&P 500 index, but also that integrated jumps in the E-mini futures during the overnight period carry relevant information. Supplementary materials for this article are available as an online supplement.

Original languageEnglish (US)
Pages (from-to)1214-1226
Number of pages13
JournalJournal of the American Statistical Association
Volume115
Issue number531
DOIs
StatePublished - Jul 2 2020

Keywords

  • Conditional independence
  • Jump intensity
  • Kernel smoothing
  • Quadratic variation
  • Realized measure

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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