2020
DOI: 10.1080/1351847x.2020.1791925
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Quantifying endogeneity of cryptocurrency markets

Abstract: We construct a 'reflexivity' index to measure the activity generated endogenously within a market for cryptocurrencies. For this purpose, we fit a univariate self-exciting Hawkes process with two classes of parametric kernels to high-frequency trading data. A parsimonious model of both endogenous and exogenous dynamics enables a direct comparison with exchanges for traditional asset classes, in terms of identified branching ratios. We also formulate a 'Hawkes disorder problem,' as generalization of the establi… Show more

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Cited by 12 publications
(12 citation statements)
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“…on sub-samples of the jump times t i ) and rolling them forward in time to trace out a time-variant estimate of the parameters (e.g. Filimonov and Sornette 2012, Hardiman et al 2013, Filimonov et al 2014, Mark et al 2020. This approach of rectangular windowing brings several practical difficulties, like the selection of window size in a way that does not neglect relevant memory, or treatment of edge and truncation effects, which when neglected can bias parameter estimates.…”
Section: Calibration To Mid-price Data-the Hawkes(p Q) Modelmentioning
confidence: 99%
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“…on sub-samples of the jump times t i ) and rolling them forward in time to trace out a time-variant estimate of the parameters (e.g. Filimonov and Sornette 2012, Hardiman et al 2013, Filimonov et al 2014, Mark et al 2020. This approach of rectangular windowing brings several practical difficulties, like the selection of window size in a way that does not neglect relevant memory, or treatment of edge and truncation effects, which when neglected can bias parameter estimates.…”
Section: Calibration To Mid-price Data-the Hawkes(p Q) Modelmentioning
confidence: 99%
“…On randomized timestamps, the optimal model is a Hawkes(19,5) ¶ and reveals that the branching ratio is constantly above 0.8 and visits the critical regime twice before the occurrence of the crash, whereas it is only around 0.85 at the actual time of the price drop. To gauge how the overall level of self-excitation on the day of the crash compares to 'typical' dynamics of cryptocurrencies, we can look at the recent study of Mark et al (2020), done for the Bitcoin market. They estimate a standard Hawkes on mid-price changes that were induced by market orders.…”
Section: The Ether Crash In June 2017mentioning
confidence: 99%
“…Both reach a plateau after three days. The decreasing and increasing pattern of and n can be explained as follows: (1) The first fundraising day usually cannot span over an entire day, resulting in a calibrating window of less than 24 h. As pointed out by Mark et al [ 24 ], the branching ratio n can be underestimated in narrow windows. (2) The spreading process of the crowdfunding project is in an initial state on the first fundraising day.…”
Section: Resultsmentioning
confidence: 99%
“…Usually, the background intensity in the Hawkes process is assumed to be a constant and the memory kernel function takes the form of both an exponential function [ 5 , 19 , 24 ] and power-law function [ 16 , 20 , 24 ]. The exponential kernel indicates that the influence of the history donation exponentially decays with respect to the time elapsed since it occurred [ 25 ].…”
Section: Modelmentioning
confidence: 99%
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