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Sup-ADF-style bubble-detection methods under test

Verena Monschang () and Bernd Wilfling
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Verena Monschang: Westfälische Wilhelms-Universität Münster

Empirical Economics, 2021, vol. 61, issue 1, No 6, 145-172

Abstract: Abstract In this paper, we analyze the capacity of supremum augmented Dickey–Fuller (SADF), generalized SADF (GSADF), and of several heteroscedasticity-adjusted sup-ADF-style tests for detecting and date-stamping financial bubbles. Our Monte Carlo simulations find that the majority of the sup-ADF-style tests exhibit substantial size distortions, when the data-generating process is subject to leverage effects. Moreover, the sup-ADF-style tests often have low empirical power in identifying a (flexible and empirically relevant) rational stock-price bubble, recently proposed in the literature. In a simulation study, we compare the effectiveness of two real-time bubble date-stamping procedures (Procedures 1 and 2), both based on variants of the backward SADF (BSADF) test. While Procedure 1 (predominantly) provides better estimates of the bubbles’ origination and termination dates than Procedure 2, the first procedure frequently stamps non-existing bubbles. In an empirical application, we use NASDAQ data covering a time-span of 45 years and find that the bubble date-stamping outcomes of both procedures 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)
Date: 2021
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Citations: View citations in EconPapers (7)

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DOI: 10.1007/s00181-020-01859-7

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