A Novel Test for the Presence of Local Explosive Dynamics

F. Blasques, Siem Jan Koopman, G. Mingoli and Sean Telg
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F. Blasques: Vrije Universiteit Amsterdam
G. Mingoli: Vrije Universiteit Amsterdam

No 24-036/III, Tinbergen Institute Discussion Papers from Tinbergen Institute

Abstract: In economics and finance, speculative bubbles take the form of locally explosive dynamics that eventually collapse. We propose a test for the presence of speculative bubbles in the context of mixed causal-noncausal autoregressive processes. The test exploits the fact that bubbles are anticipative, that is, they are generated by an extreme shock in the forward- looking dynamics. In particular, the test uses both path level deviations and growth rates to assess the presence of a bubble of given duration and size, at any moment of time. We show that the distribution of the test statistic can be either analytically determined or numerically approximated, depending on the error distribution. Size and power properties of the test are analyzed in controlled Monte Carlo experiments. An empirical application is presented for a monthly oil price index. It demonstrates the ability of the test to detect bubbles and to provide valuable insights in terms of risk assessments in the spirit of Value-at-Risk.

Keywords: noncausality; bubbles; testing; date-stamping; risk assessment (search for similar items in EconPapers)
JEL-codes: C22 E31 E37 (search for similar items in EconPapers)
Date: 2024-05-30
New Economics Papers: this item is included in nep-ecm, nep-ets and nep-mac
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