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Testing for multiple bubbles: historical episodes of exuberance and collapse in the S&P 500

Testing for multiple bubbles: historical episodes of exuberance and collapse in the S&P 500
Testing for multiple bubbles: historical episodes of exuberance and collapse in the S&P 500
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.
0020-6598
1043-1078
Phillips, Peter C. B.
f67573a4-fc30-484c-ad74-4bbc797d7243
Shi, Shuping
0e630110-d8b2-42f6-8adb-3a3a2b0e26c5
Yu, Jun
3c46e8fc-ce06-4a1d-b666-96d5acd6828b
Phillips, Peter C. B.
f67573a4-fc30-484c-ad74-4bbc797d7243
Shi, Shuping
0e630110-d8b2-42f6-8adb-3a3a2b0e26c5
Yu, Jun
3c46e8fc-ce06-4a1d-b666-96d5acd6828b

Phillips, Peter C. B., Shi, Shuping and Yu, Jun (2015) Testing for multiple bubbles: historical episodes of exuberance and collapse in the S&P 500. International Economic Review, 56 (4), 1043-1078. (doi:10.1111/iere.12132).

Record type: Article

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.

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More information

e-pub ahead of print date: 28 October 2015
Published date: 1 November 2015

Identifiers

Local EPrints ID: 413152
URI: http://eprints.soton.ac.uk/id/eprint/413152
ISSN: 0020-6598
PURE UUID: cc9a5676-c87c-43cc-b43b-6cd9de5bc48b
ORCID for Peter C. B. Phillips: ORCID iD orcid.org/0000-0003-2341-0451

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Date deposited: 16 Aug 2017 16:30
Last modified: 15 Mar 2024 15:34

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Contributors

Author: Shuping Shi
Author: Jun Yu

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