The copula GARCH model for time varying betas in the banking sector

dc.contributor.authorNikolaidis, Dimitrisen
dc.date.accessioned2015-03-23T11:33:55Z
dc.date.available2015-09-27T06:05:05Z
dc.date.issued2015-03-23
dc.identifier.urihttps://repository.ihu.edu.gr/xmlui/handle/11544/33
dc.rightsDefault License
dc.titleThe copula GARCH model for time varying betas in the banking sectoren
heal.abstractThe Copula GARCH model for time varying betas in the banking sector. Dimitris Nikolaidis 2010 Copula functions have become an increasingly popular tool in nance when the distribution of asset returns is of extreme importance. The main features of copulas are that they seperate a multivariate distribution into the dependence structure and the margins, thus allowing two step estimation procedures for the distributional parameters that minimize the computational burden and also add exibility to the distribution since the dependence governed by the copula and the margins do not have to belong to the same parametric family, unlike standard multivariate distributions. The aim of this study is twofold. In the rst part, the statistical attributes of copulas are discussed in full detail while in the second part an empirical investigation of the evolution of stock betas during the modern global nancial crisis period is conducted. In the empirical part, it is evident that copula models clearly outperform other, traditional models, in terms of both statistical validity and accuracy in risk calculationsen
heal.academicPublisherSchool of Economics, Business Administration and Legal Studies, MSc in Banking and Financeen
heal.academicPublisherIDihu
heal.accessfreeel
heal.advisorNameRafael, Dr.Markellosen
heal.bibliographicCitationNikolaidis Dimitris, 2010, The copula GARCH model for time varying betas in the banking sector / by Dimitris Nikolaidis,Master's Dissertation, International Hellenic Universityen
heal.committeeMemberNameMarkellosen
heal.committeeMemberNameChalamandarisen
heal.committeeMemberNameLevisen
heal.fullTextAvailabilitytrue
heal.keywordDissertations, Academicen
heal.keywordGARCH modelen
heal.keywordCopulas (Mathematical statistics)en
heal.languageen
heal.licensehttp://creativecommons.org/licenses/by-nc/4.0
heal.numberOfPages88
heal.publicationDate2010-08
heal.recordProviderSchool of Economics, Business Administration and Legal Studies, MSc in Banking and Finance
heal.tableOfContentsThe First Part - Statistical analysis of copulas 1 1 Introduction to Copulas 2 1.1 Intuition behind copulas. Measures of dependence . . . . . . . . . . . 2 1.1.1 Rank based measures of dependence . . . . . . . . . . . . . . 5 1.2 De nitions and fundamental properties . . . . . . . . . . . . . . . . . 7 1.3 Tail dependence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 1.4 Inference on copulas . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 1.4.1 Maximum likelihood method . . . . . . . . . . . . . . . . . . . 20 1.4.2 Inference functions for margins (IFM) . . . . . . . . . . . . . . 23 1.4.3 The pseudo likelihood method . . . . . . . . . . . . . . . . . . 25 1.5 Goodness of t tests for copulas . . . . . . . . . . . . . . . . . . . . . 28 1.5.1 Graphical inspection method . . . . . . . . . . . . . . . . . . . 29 1.5.2 Squared radius method . . . . . . . . . . . . . . . . . . . . . . 31 1.5.3 Bivariate probability integral transform method . . . . . . . . 36 1.6 Conditional Copulas . . . . . . . . . . . . . . . . . . . . . . . . . . . 38II The second part - Empirical application 44 2 Introduction 45 2.1 Literature review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 2.2 Data and methodology . . . . . . . . . . . . . . . . . . . . . . . . . . 53 2.2.1 Data and descriptive statistics . . . . . . . . . . . . . . . . . . 56 2.3 Empirical results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 2.3.1 Copula results and time varying parameters . . . . . . . . . . 63 2.3.2 Model comparison and time varying betas . . . . . . . . . . . 65 2.4 Time evolution of betas . . . . . . . . . . . . . . . . . . . . . . . . . 70 2.5 Other copula models . . . . . . . . . . . . . . . . . . . . . . . . . . . 72 2.6 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73en
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