This master thesis deals with extension of the univariate GARCH model to multivari- ate models. We present individual models and deal with methods of their estimation. Then we describe some statistical tests for diagnosting the models. We have programmed in the statistical software R one of them - the Ling-Li test. Afterwards we apply selected models to real data of stock market index S&P 500, stock market index Russell 2000 and stocks of crude oil. For the GO-GARCH model, we compare all available estimation methods and show their differences. Then we compare the results of all models with each other and also with univariate models in terms of estimates of conditional variances, estimates of conditional correlations and also in terms of computational complexity. 1

No description available.

L'objectif de cette thèse est d'étudier le problème de la modélisation des changements de régime dans les modèles a corrélations conditionnelles dynamiques en nous intéressant plus particulièrement a l'approche Markov-switching. A la différence de l'approche standard basée sur le modèle à chaîne de Markov caché (HMM) de base, nous utilisons des extensions du modèle HMM provenant des modèles graphiques probabilistes. Cette discipline a en effet proposé de nombreuses dérivations du modèle de base permettant de modéliser des structures complexes. Cette thèse se situe donc a l'interface de deux disciplines: l'économétrie financière et les modèles graphiques probabilistes.Le premier essai présente un modèle construit a partir d'une structure hiérarchique cachée markovienne qui permet de définir différents niveaux de granularité pour les régimes. Il peut être vu comme un cas particulier du modèle RSDC (Regime Switching for Dynamic Correlations). Basé sur le HMM hiérarchique, notre modèle permet de capter des nuances de régimes qui sont ignorées par l'approche Markov-Switching classique.La seconde contribution propose une version Markov-switching du modèle DCC construite a partir du modèle HMM factorise. Alors que l'approche Markov-switching classique suppose que les tous les éléments de la matrice de corrélation suivent la même dynamique, notre modèle permet à tous les éléments de la matrice de corrélation d'avoir leur propre dynamique de saut. Markov-switching. A la différence de l'approche standard basée sur le modèle à chaîne de Markov caché (HMM) de base, nous utilisons des extensions du modèle HMM provenant des modèles graphiques probabilistes. Cette discipline a en effet propose de nombreuses dérivations du modèle de base permettant de modéliser des structures complexes. Cette thèse se situe donc a l'interface de deux disciplines: l'économétrie financière et les modèles graphiques probabilistes.Le premier essai présente un modèle construit a partir d'une structure hiérarchique cachée markovienne qui permet de définir différents niveaux de granularité pour les régimes. Il peut ^etre vu commeun cas particulier du modele RSDC (Regime Switching for Dynamic Correlations). Base sur le HMMhierarchique, notre modele permet de capter des nuances de regimes qui sont ignorees par l'approcheMarkov-Switching classique.La seconde contribution propose une version Markov-switching du modele DCC construite a partir dumodele HMM factorise. Alors que l'approche Markov-switching classique suppose que les tous les elementsde la matrice de correlation suivent la m^eme dynamique, notre modele permet a tous les elements de lamatrice de correlation d'avoir leur propre dynamique de saut.Dans la derniere contribution, nous proposons un modele DCC construit a partir d'un arbre dedecision. L'objectif de cet arbre est de relier le niveau des volatilites individuelles avec le niveau descorrelations. Pour cela, nous utilisons un arbre de decision Markovien cache, qui est une extension de HMM. / The objective of this thesis is to study the modelling of change in regime in the dynamic conditional correlation models. We focus particularly on the Markov-switching approach. Unlike the standard approach based on the Hidden Markov Model (HMM), we use extensions of HMM coming from probabilistic graphical models theory. This discipline has in fact proposed many derivations of the basic model to model complex structures. Thus, this thesis can be view at the interface of twodisciplines: financial econometrics and probabilistic graphical models.The first essay presents a model constructed from a hierarchical hidden Markov which allows to increase the granularity of the regimes. It can be seen as a special case of RSDC model (Regime Switching for Dynamic Correlations). Based on the hierarchical HMM, our model can capture nuances of regimes that are ignored by the classical Markov-Switching approach.The second contribution proposes a Markov-switching version of the DCC model that is built from the factorial HMM. While the classical Markov-switching approach assumes that all elements of the correlation matrix follow the same switching dynamic, our model allows all elements of the correlation matrix to have their own switching dynamic.In the final contribution, we propose a model DCC constructed based on a decision tree. The objective of this tree is to link the level of volatility with the level of individual correlations. For this, we use a hidden Markov decision tree, which is an extension of HMM.

This diploma thesis is devoted to the linkages among stock, bond and foreign exchange markets in the Czech Republic, Austria, Germany and Poland during the period from the beginning of the year 2007 to the end of the year 2014. In order to complexly describe the interconnections among the markets, we utilized two kinds of spillover indices (from the generalized and structural VAR model), dynamic correlation coefficients obtained from the multivariate GARCH model and contemporaneous coefficients from the structural VAR model that was identified through heteroskedasticity in structural shocks. These methods enabled us to describe the linkages among the markets from different angles, to capture their time evolution and to obtain a notion about the transmission mechanism among these markets in Central Europe. The results, inter alia, indicate an intensifying interconnection among the markets during crisis periods, lowering impact of stock markets, increasing influence of bonds and a dominant role of German bonds and Austrian stocks. At the same time, we were able to capture the influence of the European sovereign debt crisis on the spillovers and on the intensity of linkages among the markets. We showed that the intensity of linkages among bond markets relented, probably as a result of higher emphasis on the...

Made available in DSpace on 2016-04-26T20:48:38Z (GMT). No. of bitstreams: 1 Lucas Lucio Godeiro.pdf: 2764843 bytes, checksum: c27a349337947bc5671ae909ca2237f6 (MD5) Previous issue date: 2012-10-30 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / The work aim to test the CAPM for the Brazilian Shares Market using the static was beta and the dynamic beta. The sample used is composed for 28 shares of the Ibovespa index in March 21, 2012 and that was traded long the period researched, between 01/01/1995 and 20/03/2012. Was estimated the static and dynamic betas, and that the dynamics betas has a larger explication power on the cross section returns excess. It was found that the parameters that measure relative risk aversion were significant, indicating that an increase in volatility negatively affects the expected return of the agents / A pesquisa objetiva testar o CAPM para o mercado de ações brasileiro utilizando o beta estático e o beta dinâmico. A amostra utilizada é composta por 28 ações do índice Ibovespa em vinte de março de 2012 e que foram negociados durante todo o período pesquisado, que vai de 01/01/1995 a 20/03/2012. Foram estimados os betas estáticos e dinâmicos, sendo que os betas dinâmicos tem um maior poder de explicação sobre os excessos de retornos cross section. Também foi constatado que os parâmetros que medem aversão a risco relativa foram significantes, indicando que um aumento de volatilidade afeta de forma negativa o retorno esperado dos agentes

A crescente globalização financeira e integração desses mercados resultaram em relações cada vez mais próximas entre os países, sejam eles desenvolvidos ou emergentes. Esses fenômenos, somados às crises financeiras recentes, provocaram maior interesse nos eventos de transmissão de volatilidade e de fluxos de informações entre os mercados financeiros. Dentre elas, destaca-se a crise financeira internacional de 2008, conhecida como \"crise do subprime\", considerada a maior e mais importante desde a Grande Depressão de 1929. Neste contexto, o mercado de recibos americanos de depósito (ADRs) apresentou uma importância crescente nas últimas décadas, especialmente para companhias sediadas em países emergentes, como os da América Latina. Essa região, particularmente, exibiu uma grande expansão neste mercado. De maneira geral, as empresas de países emergentes emissoras de ADRs possuem características mais similares às companhias sediadas nos mercados desenvolvidos, comparadas às demais de seu país de origem. Por isso, como objetivo geral deste estudo, buscou-se detectar e mensurar o fenômeno da interdependência, englobando os transbordamentos (spillovers) de retornos e de volatilidade e suas assimetrias, entre os principais mercados de capitais da América Latina - Brasil, Argentina, Chile e México - e dos países desenvolvidos - Estados Unidos, Japão, Reino Unido e França - no âmbito da última crise financeira internacional. Esse fenômeno foi investigado considerando tanto seus índices acionários de mercado, como os índices de ADRs criados neste estudo, um para cada mercado da América Latina. Estes foram compostos pelas cotações de seus respectivos ADRs níveis 2 ou 3, sendo que a metodologia desenvolvida para sua criação foi uma das contribuições deste trabalho. A partir das séries temporais de retornos diários logarítmicos dos índices dos oito países no período de junho de 2008 a maio de 2015, foi empregada uma metodologia abrangente. Foram aplicadas três abordagens univariadas para modelagem das volatilidades dos mercados (GARCH, EGARCH e TARCH) e dois modelos multivariados assimétricos VAR-MGARCH, com representação Diagonal VECH, para identificação dos transbordamentos de retornos e volatilidade, bem como a análise de suas correlações condicionais. Além disso, foram estimados dois modelos autorregressivos multivariados (VAR) para análise das relações conjuntas dos mercados, e a análise das Funções de Resposta a Impulso (IRF) e dos efeitos sobre a variância por meio de sua decomposição. Os resultados indicaram que as séries de retornos dos mercados de ADRs de empresas latino-americanas não apresentam comportamento mais similar, no tocante à volatilidade, ao dos principais mercados de capitais desenvolvidos. No entanto, há evidências de que os índices de ADRs possuem maior interdependência com os principais mercados de capitais desenvolvidos, por apresentarem relações mais próximas com esses, comparados aos mercados acionários latino-americanos analisados. Essa conclusão corrobora as hipóteses elaboradas sobre esse tema a partir da teoria de segmentação de mercado e das próprias características dessas companhias. Outro resultado relevante foi que os mercados emergentes da América Latina são mais suscetíveis a efeitos locais e regionais que globais, confirmando o benefício do uso dos ativos financeiros desses países para diversificação de carteiras internacionais, mesmo durante uma crise financeira internacional, como a do subprime. / The growing financial globalization and integration of this markets resulted in increasingly close links between the countries, both developed and emerging ones. These phenomena, added to the recent financial crises, provoked greater interest in the events of volatility and information flows transmission between the financial markets. Among them, stands out the international financial crisis of 2008, known as the \"subprime crisis\", considered the largest and most important since the Great Depression of 1929. In this context, the American Depositary Receipts (ADRs) market showed an increasing importance in recent decades, especially for companies based in emerging markets, such as the Latin America. This region, particularly, exhibited a large expansion in this market. In general, companies in emerging countries issuers of ADRs have more similar characteristics to companies based in developed markets, compared to the rest of their country of origin. Therefore, the general objective of this study was to detect and measure the interdependence phenomenon, encompassing returns and volatility spillovers and their asymmetries, among the major capital markets in Latin America - Brazil, Argentina, Chile and Mexico - and developed countries - United States, Japan, UK and France - within the last international financial crisis. This phenomenon was investigated considering both their stock market indices and the ADRs indices created in this study, one for each Latin America country. They were compound of the quotes from their respective ADRs levels 2 or 3, and the methodology developed for their creation was one of the contributions of this assignment. Using the time series of daily logarithmic returns of the eight countries indices in the period from June 2008 to May 2015, it was applied an embracing methodology. It was estimated three univariate approaches to modeling the markets volatility (GARCH, EGARCH and TARCH) and two asymmetric multivariate models VAR-MGARCH, with Diagonal VECH representation, for identification of the returns and volatility spillovers, as well as analysis of their conditional correlations. In addition, two multivariate autoregressive models (VAR) were estimated for analysis of joint relations of markets, and analysis of Impulse Response Functions (IRF) and the effects on the variance through its decomposition. The results indicated that the returns series from Latin American ADR markets doesn\"t have behavior more similar, with regard to volatility, to the major developed capital markets. However, there is evidence that the ADR indices present greater interdependence with the major developed capital markets, because they have closer relationships with these, compared to the Latin American equity markets analyzed. This finding supports the hypothesis elaborated on this subject from the market segmentation theory and the characteristics of these companies. Another important result was that the emerging markets of Latin America are more susceptible to local and regional effects than global ones, confirming the benefit of the use of the financial assets of these countries for diversification of international portfolios, even during an international financial crisis, such as the subprime.

Diss. Stockholm : Handelshögskolan, 2006 S. 1-9: introduction, s. 11-170: 5 research papers

利用風險值作為投資組合的風險管理工具，必須考慮金融資產報酬率通常具有厚尾、高峰、波動叢聚以及資產間訊息與波動性的變化也會交互影響等現象；因此實證上通常以多變量GARCH模型作為估計投資組合變異數矩陣的方法。然而多變量GARCH模型卻存在有維度上的詛咒，當投資組合包含資產數增加時會加重參數估計上的困難度。另一種估計波動率的方法，稱為實現波動率，能比多變量GARCH模型更簡易地處理投資組合高維度的問題。本文即以實現波動率、BEKK多變量GARCH模型與CCC模型，並以中鋼、台積電、國泰金為研究對象，比較三種方法估計風險值的表現。而實證結果得到利用實現波動率確實適合應用在風險值的估計上，且在表現上有略勝一籌的現象。

This thesis consists of four research papers. The main focus is on building the multivariate Conditional Correlation (CC-) GARCH models. In particular, emphasis lies on considering an extension of CC-GARCH models that allow for interactions or causality in conditional variances. In the first three chapters, misspecification testing and parameter restrictions in these models are discussed. In the final chapter, a computer package for building major variants of the CC-GARCH models is presented. The first chapter contains a brief introduction to the CC-GARCH models as well as a summary of each research paper. The second chapter proposes a misspecification test for modelling of the conditional variance part of the Extended Constant CC-GARCH model. The test is designed for testing the hypothesis of no interactions in the conditional variances. If the null hypothesis is true, then the conditional variances may be described by the standard CCC-GARCH model. The test is constructed on the Lagrange Multiplier (LM) principle that only requires the estimation of the null model. Although the test is derived under the assumption of the constant conditional correlation, the simulation experiments suggest that the test is also applicable to building CC-GARCH models with changing conditional correlations. There is no asymptotic theory available for these models, which is why simulation of the test statistic in this situation has been necessary. The third chapter provides yet another misspecification test for modelling of the conditional variance component of the CC-GARCH models, whose parameters are often estimated in two steps. The estimator obtained through these two steps is a two-stage quasi-maximum likelihood estimator (2SQMLE). Taking advantage of the asymptotic results for 2SQMLE, the test considered in this chapter is formulated using the LM principle, which requires only the estimation of univariate GARCH models. It is also shown that the test statistic may be computed by using an auxiliary regression. A robust version of the new test is available through another auxiliary regression. All of this amounts to a substantial simplification in computations compared with the test proposed in the second chapter. The simulation experiments show that, under both under both Gaussian and leptokurtic innovations, as well as under changing conditional correlations, the new test has reasonable size and power properties. When modelling the conditional variance, it is necessary to keep the sequence of conditional covariance matrices positive definite almost surely for any time horizon. In the fourth chapter it is demonstrated that under certain conditions some of the parameters of the model can take negative values while the conditional covariance matrix remains positive definite almost surely. It is also shown that even in the simplest first-order vector GARCH representation, the relevant parameter space can contain negative values for some parameters, which is not possible in the univariate model. This finding makes it possible to incorporate negative volatility spillovers into the CC-GARCH framework. Many new GARCH models and misspecification testing procedures have been recently proposed in the literature. When it comes to applying these models or tests, however, there do not seem to exist many options for the users to choose from other than creating their own computer programmes. This is especially the case when one wants to apply a multivariate GARCH model. The last chapter of the thesis offers a remedy to this situation by providing a workable environment for building CC-GARCH models. The package is open source, freely available on the Internet, and designed for use in the open source statistical environment R. With this package can estimate major variants of CC-GARCH models as well as simulate data from the CC-GARCH data generating processes with multivariate normal or Student's t innovations. In addition, the package is equipped with the necessary functions for conducting diagnostic tests such as those discussed in the third chapter of this thesis. / <p>Diss. Stockholm : Handelshögskolan, 2010. Sammanfattning jämte 4 uppsatser.</p>

Cette thèse tente d'évaluer l'intégration des marchés émergents dans une perspective régionale et intra-régionale. Elle contribue à la littérature existante en développant un modèle dynamique d’évaluation des actifs financiers à l’international (ICAPM) avec changement de régime. Spécifiquement, les rentabilités attendues peuvent passer du régime de segmentation parfaite au régime d’intégration parfaite ou inversement en fonction d’un certain nombre de facteurs nationaux, régionaux et internationaux qui sont susceptibles d’influencer le processus d’intégration financière. Le champ d’étude s’étend aux pays de l’Asie de Sud-est, d’Europe Sud-est, de l’Amérique Latine et du Moyen Orient sur la période 1996-2008. Nous développons le modèle de Bekaert et Harvey (1995) où la PPA n’est pas vérifiée, et les variances et covariances conditionnelles sont modélisées grâce à un processus GARCH multivarié. Cette approche permet de déterminer simultanément le niveau d’intégration au cours du temps de toutes les zones dans le marché mondial et le niveau d’intégration intra-régionale dans chaque région. Il permet aussi d’analyser la formation de la prime de risque totale. Nos résultats empiriques montrent que les marchés émergents restent encore très segmentés du marché mondial et des marchés régionaux. Ces résultats suggèrent que l’inclusion des actifs des marchés émergents continue à générer des gains de diversification substantiels, et que les règles d’évaluation devraient être conformes à un état d’intégration partielle. / The purpose of this thesis is to study the dynamics of the global integration process of four emerging market regions into the world and the regional market, while taking into account the importance of exchange rate and local market risk. An international capital asset pricing model suitable for partially integrated markets and departure from purchasing power parity was developed in the spirit of Bekaert and Harvey (1995)’s regime-switching model in order to explain the time-variations in expected returns on regional emerging market indices. In its fully functional form, the model allows the market integration measure as well as the global and local risk premiums to vary through time. We mainly find that the integration degree in emerging market regions (Latin America, Asia, Southeastern Europe, and the Middle East) varied widely through time over the period 1996-2008 and is satisfactorily explained by global, regional and national factors. Even though it reaches fairly high values during several periods, and exhibit an upward trend towards the end of the estimation period, the emerging market regions under consideration still remain segmented from the world and regional market. These results thus suggest that diversification into emerging market assets continue to produce substantial profits and that the asset pricing rules should reflect a state of partial integration. Our investigation, which addresses the evolution and formation of total risk premiums, confirm this empirically.