Sup-ADF-style bubble-detection methods under test

Monschang Verena, Wilfling Bernd

Working paper

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 Wilfling (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.

Details about the publication

Place of publicationUniversity of Muenster
Title of seriesCQE-Working-Papers
Volume of series78/2019
StatusPublished
Release year2019 (08/02/2019)
Language in which the publication is writtenEnglish
KeywordsStock markets; present-value model; rational bubble; explosiveness; SADF; and GSADF tests; bubble detection; date-stamping

Authors from the University of Münster

Monschang, Verena
Chair of Empirical Economics
Wilfling, Bernd
Professur für Volkswirtschaftslehre, empirische Wirtschaftsforschung (Prof. Wilfling)

Promotionen, aus denen die Publikation resultiert

Contributions to Forecasting and Hypothesis Testing with Application to Financial-Market Data
Candidate: Monschang, Verena | Supervisors: Wilfling, Bernd; Trede, Mark | Reviewers: Trede, Mark; Wilfling, Bernd
Period of time: 01/04/2017 - 01/07/2022
Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster