APPLYING THE LOCAL MARTINGALE THEORY OF BUBBLES TO CRYPTOCURRENCIES

Author:

CHOI SOON HYEOK1ORCID,JARROW ROBERT A.23

Affiliation:

1. Nolan School of Hotel Administration, Cornell University, 537 Statler Hall, Ithaca, NY 14850, USA

2. Samuel Curtis Johnson Graduate School of Management, Cornell University, 451 Sage Hall, Ithaca, NY 14850, USA

3. Kamakura Corporation, Honolulu, HI 96815, USA

Abstract

Cryptocurrencies provide a natural setting to test for the existence of price bubbles using the local martingale theory of bubbles because cryptocurrencies have no cash flows. Using a robust statistical algorithm, we test for price bubbles in eight cryptocurrencies, Bitcoin (BTC), Litecoin (LTC), Ethereum (ETH), Ripple (XRP), Bitcoin Cash (BCH), EOS (EOS), Monero (XMR), and Zcash (ZEC), from 1 January 2019 to 17 July 2019. The statistical test first estimates the cryptocurrencies’ volatilities as a function of the price level. Then, these estimates are extrapolated over the positive real line using power functions. Finally, these power functions underly a sequence of hypothesis tests for price bubbles that control for both Type I and Type II errors. Five of the eight currencies (BTC, BCH, EOS, XMR, ZEC) exhibit price bubbles, LTC does not, and the evidence for ETH and XRP is inconclusive. The paper provides strong evidence for the prevalence of bubbles in cryptocurrencies.

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Economics, Econometrics and Finance,Finance

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The limits of limitless debt;Journal of Macroeconomics;2024-03

2. Portfolio optimization in the presence of asset price bubbles;Annals of Operations Research;2023-11-23

3. An explosion time characterization of asset price bubbles;International Review of Finance;2022-11-29

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