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Tail behavior and dependence structure in the APARCH model
Örebro University, Örebro University School of Business.ORCID iD: 0000-0002-1488-4703
Lund University, Lund, Sweden.
2016 (English)Conference paper, Oral presentation with published abstract (Refereed)
Abstract [en]

The APARCH model attempts to capture asymmetric responses of volatility to positive and negative news shocks the phenomenon known as the leverage effect. Despite its potential, the model's properties have not yet been fully investigated. While the capacity to account for the leverage is clear from the defining structure, little is known how the effect is quantified in terms of the models parameters. The same applies to the quantification of heavy-tailedness and dependence. To fill this void, we study the model in further detail. We study conditions of its existence in different metrics and obtain explicit characteristics: skewness, kurtosis, correlations and leverage. Utilizing these results, we analyze the roles of the parameters and discuss statistical inference. We also propose an extension of the model. Through theoretical results we demonstrate that the model can produce heavy-tailed data. We illustrate these properties using S\&P500 data and country indices for dominant European economies.

Place, publisher, year, edition, pages
2016.
National Category
Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:oru:diva-90762OAI: oai:DiVA.org:oru-90762DiVA, id: diva2:1540110
Conference
9th International Conference of the ERCIM WG on Computational and Methodological Statistics (CMStatistics 2016), Seville, Spain, December 9-11, 2016
Available from: 2021-03-26 Created: 2021-03-26 Last updated: 2021-03-26Bibliographically approved

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Javed, Farrukh

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