Publication Type
Journal Article
Version
publishedVersion
Publication Date
11-2015
Abstract
Recent work on econometric detection mechanisms has shown the effectiveness of recursive procedures in identifying and dating financial bubbles in real time. These procedures are useful as warning alerts in surveillance strategies conducted by central banks and fiscal regulators with real-time data. Use of these methods over long historical periods presents a more serious econometric challenge due to the complexity of the nonlinear structure and break mechanisms that are inherent in multiple-bubble phenomena within the same sample period. To meet this challenge, this article develops a new recursive flexible window method that is better suited for practical implementation with long historical time series. The method is a generalized version of the sup augmented Dickey-Fuller (ADF) test of Phillips et al. ("Explosive behavior in the 1990s NASDAQ: When did exuberance escalate asset values?" International Economic Review 52 (2011), 201-26; PWY) and delivers a consistent real-time date-stamping strategy for the origination and termination of multiple bubbles. Simulations show that the test significantly improves discriminatory power and leads to distinct power gains when multiple bubbles occur. An empirical application of the methodology is conducted on S&P 500 stock market data over a long historical period from January 1871 to December 2010. The new approach successfully identifies the well-known historical episodes of exuberance and collapses over this period, whereas the strategy of PWY and a related cumulative sum (CUSUM) dating procedure locate far fewer episodes in the same sample range.
Keywords
Date-stamping strategy, Flexible window, Generalized sup ADF test, Multiple bubbles, Rational bubble, Periodically collapsing bubbles, Sup ADF test
Discipline
Econometrics | Finance and Financial Management
Research Areas
Econometrics
Publication
International Economic Review
Volume
56
Issue
4
First Page
1043
Last Page
1078
ISSN
0020-6598
Identifier
10.1111/iere.12132
Publisher
Wiley
Citation
Peter C. B. PHILLIPS; SHI, Shuping; and Jun YU.
Testing for multiple bubbles: Historical episodes of exuberance and collapse in the S&P 500. (2015). International Economic Review. 56, (4), 1043-1078.
Available at: https://ink.library.smu.edu.sg/soe_research/1795
Copyright Owner and License
Authors
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Additional URL
https://doi.org/10.1111/iere.12132