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Contribution Details

Type Journal Article
Scope Discipline-based scholarship
Title Tail Granger causalities and where to find them: Extreme risk spillovers vs spurious linkages
Organization Unit
Authors
  • Piero Mazzarisi
  • Silvia Zaoli
  • Carlo Campajola
  • Fabrizio Lillo
Item Subtype Original Work
Refereed Yes
Status Published in final form
Language
  • English
Journal Title Journal of Economic Dynamics and Control
Publisher Elsevier
Geographical Reach international
ISSN 0165-1889
Volume 121
Page Range 104022
Date 2020
Abstract Text Identifying risk spillovers in financial markets is of great importance for assessing systemic risk and portfolio management. Granger causality in tail (or in risk) tests whether past extreme events of a time series help predicting future extreme events of another time series. The topology and connectedness of networks built with Granger causality in tail can be used to measure systemic risk and to identify risk transmitters. Here we introduce a novel test of Granger causality in tail which adopts the likelihood ratio statistic and is based on the multivariate generalization of a discrete autoregressive process for binary time series describing the sequence of extreme events of the underlying price dynamics. The proposed test has very good size and power in finite samples, especially for large sample size, allows inferring the correct time scale at which the causal interaction takes place, and it is flexible enough for multivariate extension when more than two time series are considered in order to decrease false detections as spurious effect of neglected variables. An extensive simulation study shows the performances of the proposed method with a large variety of data generating processes and it introduces also the comparison with the test of Granger causality in tail by Hong et al. (2009). We report both advantages and drawbacks of the different approaches, pointing out some crucial aspects related to the false detections of Granger causality for tail events. An empirical application to high frequency data of a portfolio of US stocks highlights the merits of our novel approach.
Digital Object Identifier 10.1016/j.jedc.2020.104022
Other Identification Number merlin-id:20167
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Keywords Economics and Econometrics, Control and Optimization, Applied Mathematics