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Are Bitcoin Bubbles Predictable? Combining a Generalized Metcalfe's Law and the LPPLS Model

Spencer Wheatley, Didier Sornette, Tobias Huber, Max Reppen, Robert N. Gantner

arXiv 15 Mar 2018 · Econometrics · 18 citations (OpenAlex)

arXiv:1803.05663 · PDF · DOI · OpenAlex · Extracted main text

Abstract

We develop a strong diagnostic for bubbles and crashes in bitcoin, by analyzing the coincidence (and its absence) of fundamental and technical indicators. Using a generalized Metcalfe's law based on network properties, a fundamental value is quantified and shown to be heavily exceeded, on at least four occasions, by bubbles that grow and burst. In these bubbles, we detect a universal super-exponential unsustainable growth. We model this universal pattern with the Log-Periodic Power Law Singularity (LPPLS) model, which parsimoniously captures diverse positive feedback phenomena, such as herding and imitation. The LPPLS model is shown to provide an ex-ante warning of market instabilities, quantifying a high crash hazard and probabilistic bracket of the crash time consistent with the actual corrections; although, as always, the precise time and trigger (which straw breaks the camel's back) being exogenous and unpredictable. Looking forward, our analysis identifies a substantial but not unprecedented overvaluation in the price of bitcoin, suggesting many months of volatile sideways bitcoin prices ahead (from the time of writing, March 2018).

Citation extraction

38
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45
in-text mentions
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distinct cited
15
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6,160
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appendix boundary found by appendix_titled_section at “Appendix” · 90% of the source is main text. Read the extracted text to check this.

Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Anders Johansen, Didier Sornette, and Olivier Ledoit (1999) Predicting financial crashes using discrete scale invariance self0.81142100%
2Anders Johansen, Olivier Ledoit, and Didier Sornette (2000) Crashes as critical points self0.73732100%
3Sara Silverstein (2018) Analyst says 94% of bitcoin's price movement over the past 4 years can be explained by one equation0.51121100%
4Didier Sornette, Ryan Woodard, Wanfeng Yan, and Wei-Xing Zhou (2013) Clarifications to questions and criticisms on the Johansen-Ledoit-Sornette financial bubble model self0.51121100%
5Ryan Browne (2018) interesting experiment0.40511100%
6Peter Cauwels and Didier Sornette (2012) Quis pendit ipsa pretia: Facebook valuation and diagnostic of a bubble based on nonlinear demographic dynamics self0.40511100%
7Zalán Forró, Peter Cauwels, and Didier Sornette (2012) When games meet reality: is Zynga overvalued? self0.40511100%
8Nikolay Gertchev (2013) The moneyness of bitcoin0.40511100%
9Anders Johansen and Didier Sornette (1998) Evidence of discrete scale invariance by canonical averaging self0.40511100%
10David Yermack (2015) Is bitcoin a real currency? an economic appraisal0.40511100%

Showing the top 10 of 38 scored citations.