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Sup-ADF-style bubble-detection methods under test

Verena Monschang and Bernd Wilfling

No 7819, CQE Working Papers from Center for Quantitative Economics (CQE), University of Muenster

Abstract: In this paper we analyze the performance of supremum augmented Dickey-Fuller (SADF), generalized SADF (GSADF), and backward SADF (BSADF) tests, as introduced by Phillips et al. (International Economic Review 56:1043-1078, 2015) for detecting and date-stamping financial bubbles. In Monte Carlo simulations, we show that the SADF and GSADF tests may reveal substantial size distortions under typical financial-market characteristics (like the empirically well-documented leverage effect). We consider the rational bubble specification suggested by Rotermann and Wilfl ing (Applied Economics Letters 25:1091-1096, 2018) that is able to generate realistic stock-price dynamics (in terms of level trajectories and volatility paths). Simulating stock-price trajectories that contain these parametric bubbles, we demonstrate that the SADF and GSADF tests can have extremely low power under a wide range of bubble-parameter constellations. In an empirical analysis, we use NASDAQ data covering a time-span of 45 years and find that the outcomes of the bubble date-stamping procedure (based on the BSADF test) are sensitive to the data-frequency chosen by the econometrician.

Keywords: Stock markets; present-value model; rational bubble; explosiveness; SADF and GSADF tests; bubble detection; date-stamping (search for similar items in EconPapers)
JEL-codes: C15 C32 C58 G15 (search for similar items in EconPapers)
Pages: 28 pages
Date: 2019-02
New Economics Papers: this item is included in nep-ecm, nep-ets and nep-ore
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Journal Article: Sup-ADF-style bubble-detection methods under test (2021) Downloads
Working Paper: Sup-ADF-style bubble detection methods under test (2019) Downloads
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