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Tail index estimation in the presence of covariates : Stock returns’ tail risk dynamics

dc.contributor.authorNicolau, João
dc.contributor.authorRodrigues, Paulo M. M.
dc.contributor.authorStoykov, Marian Z.
dc.date.accessioned2023-05-16T09:49:57Z
dc.date.available2023-05-16T09:49:57Z
dc.date.issued2023-04
dc.description.abstractThis paper provides novel theoretical results for the estimation of the conditional tail index of Pareto and Pareto-type distributions in a time series context. We show that both the estimators and relevant test statistics are normally distributed in the limit, when independent and identically distributed or dependent data are considered. Simulation results provide support for the theoretical findings and highlight the good finite sample properties of the approach in a time series context. The proposed methodology is then used to analyze stock returns’ tail risk dynamics. Two empirical applications are provided. The first consists in testing whether the time-varying tail exponents across firms follow Kelly and Jiang’s (2014) assumption of common firm level tail dynamics. The results obtained from our sample seem not to favour this hypothesis. The second application, consists of the evaluation of the impact of two market risk indicators, V IX and Expected Shortfall (ES) and two firm specific covariates, capitalization and market-to-book on stocks tail risk dynamics. Although all variables seem important drivers of firms’ tail risk dynamics, it is found that overall ES and firms’ capitalization seem to have overall wider impact.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationNicolau, João, Paul M. M. Rodrigues and Marian Z. Stoykov .(2023). “Tail index estimation in the presence of covariates : Stock returns’ tail risk dynamics” . Banco de Portugal or the Eurosystem. Working Papers, No 6 | 2023pt_PT
dc.identifier.issn2182-0422 (Online)
dc.identifier.urihttp://hdl.handle.net/10400.5/27782
dc.language.isoengpt_PT
dc.publisherBanco de Portugalpt_PT
dc.relation.ispartofseriesBanco de Portugal or the Eurosystem. Working Papers, No 6 | 2023;
dc.subjectExtreme Value Theorypt_PT
dc.subjectPareto-type Distributionspt_PT
dc.subjectTail Indexpt_PT
dc.subjectCovariates Informationpt_PT
dc.titleTail index estimation in the presence of covariates : Stock returns’ tail risk dynamicspt_PT
dc.typejournal article
dspace.entity.typePublication
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT

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