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LPPLS Bubble Indicators over Two Centuries of the S&P 500 Index

Qunzhi Zhang (), Didier Sornette (), Mehmet Balcilar, Rangan Gupta, Zeynel Ozdemir () and Ibrahim Yetkiner ()
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Qunzhi Zhang: ETH Zurich, Department of Management, Technology and Economics (D-MTEC)
Didier Sornette: ETH Zurich, Department of Management, Technology and Economics ; Swiss Finance Institute, c/o University of Geneva, Switzerland

No 201606, Working Papers from University of Pretoria, Department of Economics

Abstract: The aim of this paper is to present novel tests for the early causal diagnostic of positive and negative bubbles in the S&P 500 index and the detection of End-of-Bubble signals with their corresponding confidence levels. We use monthly S&P 500 data covering the period from August 1791 to August 2014. This study is the first work in the literature showing the possibility to develop reliable ex-ante diagnostics of the frequent regime shifts over two centuries of data. We show that the DS LPPLS (log-periodic power law singularity) approach successfully diagnoses positive and negative bubbles, constructs efficient End-of-Bubble signals for all of the well-documented bubbles, and obtains for the first time new statistical evidence of bubbles for some other events. We also compare the DS LPPLS method to the exponential curve fitting and the generalized sup ADF test approaches and find that DS LPPLS system is more accurate in identifying well-known bubble events, with significantly smaller numbers of false negatives and false positives.

Keywords: S&P 500; LPPL method; stock market bubble; forecast; bubble indicators (search for similar items in EconPapers)
JEL-codes: C32 J16 O47 (search for similar items in EconPapers)
Pages: 32 pages
Date: 2016-02
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Citations: View citations in EconPapers (20)

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