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Measuring tail risk at high-frequency: An $L_1$-regularized extreme value regression approach with unit-root predictors

Julien Hambuckers, Li Sun, Luca Trapin

arXiv 3 Jan 2023 · Econometrics · 1 citations (OpenAlex)

arXiv:2301.01362 · PDF · DOI · OpenAlex · Extracted main text

Abstract

We study tail risk dynamics in high-frequency financial markets and their connection with trading activity and market uncertainty. We introduce a dynamic extreme value regression model accommodating both stationary and local unit-root predictors to appropriately capture the time-varying behaviour of the distribution of high-frequency extreme losses. To characterize trading activity and market uncertainty, we consider several volatility and liquidity predictors, and propose a two-step adaptive $L_1$-regularized maximum likelihood estimator to select the most appropriate ones. We establish the oracle property of the proposed estimator for selecting both stationary and local unit-root predictors, and show its good finite sample properties in an extensive simulation study. Studying the high-frequency extreme losses of nine large liquid U.S. stocks using 42 liquidity and volatility predictors, we find the severity of extreme losses to be well predicted by low levels of price impact in period of high volatility of liquidity and volatility.

Citation extraction

41
references
60
in-text mentions
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distinct cited
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main-text words

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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
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6Schwaab, B., Lucas, A., and Zhang, X (2021) Modeling extreme events: time-varying extreme tail shape0.64422100%
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10Lee, J. H (2016) Predictive quantile regression with persistent covariates: IVX-QR approach0.51121100%

Showing the top 10 of 41 scored citations.