Clarifications to Questions and Criticisms on the Johansen-Ledoit-Sornette Bubble Model
Didier Sornette, Ryan Woodard, Wanfeng Yan, Wei-Xing Zhou

TL;DR
This paper clarifies misconceptions and addresses criticisms of the Johansen-Ledoit-Sornette bubble model, aiming to improve understanding and guide future research in modeling financial bubbles and crashes.
Contribution
It provides a comprehensive synthesis of common questions and criticisms about the JLS model, clarifying theoretical and empirical issues to advance the field.
Findings
Identifies and clarifies misconceptions about the JLS model
Provides best-practice advice for applying the model
Summarizes the current state-of-the-art in bubble modeling
Abstract
The Johansen-Ledoit-Sornette (JLS) model of rational expectation bubbles with finite-time singular crash hazard rates has been developed to describe the dynamics of financial bubbles and crashes. It has been applied successfully to a large variety of financial bubbles in many different markets. Having been developed for more than one decade, the JLS model has been studied, analyzed, used and criticized by several researchers. Much of this discussion is helpful for advancing the research. However, several serious misconceptions seem to be present within this collective conversation both on theoretical and empirical aspects. Several of these problems appear to stem from the fast evolution of the literature on the JLS model and related works. In the hope of removing possible misunderstanding and of catalyzing useful future developments, we summarize these common questions and criticisms…
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