2017
DOI: 10.1142/s0218348x17500062
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A COMPARISON OF THREE HURST EXPONENT APPROACHES TO PREDICT NASCENT BUBBLES IN S&P500 STOCKS

Abstract: In this paper, three approaches to calculate the self-similarity exponent of a time series are compared in order to determine which one performs best to identify the transition from random efficient market behavior (EM) to herding behavior (HB) and hence, to find out the beginning of a market bubble. In particular, classical Detrended Fluctuation Analysis (DFA), Generalized Hurst Exponent (GHE) and GM2 (one of Geometric Method-based algorithms) were applied for self-similarity exponent calculation purposes. Tr… Show more

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Cited by 25 publications
(25 citation statements)
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“…Fernández-Martínez et al ( 2017 ) suggest that the Hurst exponent of a time series is an authentic measure of herding behavior, and it was employed later by Mnif et al ( 2019 ), when examining herding behavior in Islamic markets and by Mnif et al ( 2020 ), when studying the herding behavior of cryptocurrency caused by Covid-19. The persistence of return series is an important determinant of multifractality.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…Fernández-Martínez et al ( 2017 ) suggest that the Hurst exponent of a time series is an authentic measure of herding behavior, and it was employed later by Mnif et al ( 2019 ), when examining herding behavior in Islamic markets and by Mnif et al ( 2020 ), when studying the herding behavior of cryptocurrency caused by Covid-19. The persistence of return series is an important determinant of multifractality.…”
Section: Resultsmentioning
confidence: 99%
“…Moreover, fractals along with the scaling concept are best used for measuring price bubbles (Ghosh & Kozarević, 2019 ). Recently, Mnif et al ( 2020 ) examined the herding behavior of the cryptocurrency market before and during Covid-19 by employing the technique of MFDFA with the Hurst Exponent and Magnitude of Long Memory (MLM), as suggested by Fernández-Martínez et al ( 2017 ) and Khuntia and Pattanayak ( 2020 ).…”
Section: Introductionmentioning
confidence: 99%
“…As a part of these studies, this paper aimed to analyse the Islamic stock and Sukuk markets with new approaches based on the estimation of Hurst exponent and the roughness of the price series to evaluate their performance and deduce the presence of herding behaviour (HB). More specifically, this work provided an extension to the work of Fernández-Martínez et al (2017) which uses the Hurst exponent as an indicator to assess this behaviour.…”
Section: Introductionmentioning
confidence: 99%
“…It also creates a novel application for the fractal CAPM: alerting regulators to sudden losses of liquidity and the emergence of incipient financial crises [184] (p. 8). The self-similarity exponent of financial time series may signal herding behavior, an ominous omen of many market crashes [185]. Abundant data "on smaller crises can provide quantifiable statistical laws for bubble formation and financial collapse on various scales" [186] (p. 7677).…”
Section: Applications and Implications Of Multifractal Analysismentioning
confidence: 99%