The thesis "Four Essays on the Econometric Modelling of Volatility and Durations" consists of four research papers in the area of financial econometrics on topics of the modelling of financial market volatility and the econometrics of ultra-high-frequency data. The aim of the thesis is to develop new econometric methods for modelling and hypothesis testing in these areas. The second chapter introduces a new model, the time-varying GARCH (TV-GARCH) model, in which volatility has a smooth time-varying structure of either additive or multiplicative type. To characterize smooth changes in the (un)conditional variance we assume that the parameters vary smoothly over time according to the logistic transition function. A data-based modelling technique is used for specifying the parametric structure of the TV-GARCH models. This is done by testing a sequence of hypotheses by Lagrange multiplier tests presented in the chapter. Misspecification tests are also provided for evaluating the adequacy of the estimated model. The third chapter addresses the issue of modelling deterministic changes in the unconditional variance over a long return series. The modelling strategy is illustrated with an application to the daily returns of the Dow Jones Industrial Average (DJIA) index from 1920 until 2003. The empirical results sustain the hypothesis that the assumption of constancy of the unconditional variance is not adequate over long return series and indicate that deterministic changes in the unconditional variance may be associated with macroeconomic factors. In the fourth chapter we propose an extension of the univariate multiplicative TV-GARCH model to the multivariate Conditional Correlation GARCH (CC-GARCH) framework. The variance equations are parameterized such that they combine the long-run and the short-run dynamic behaviour of the volatilities. In this framework, the long-run behaviour is described by the individual unconditional variances, and it is allowed to vary smoothly over time according to the logistic transition function. The effects of modelling the nonstationary variance component are examined empirically in several CC-GARCH models using pairs of seven daily stock return series from the S&P 500 index. The results show that the magnitude of such effect varies across different stock series and depends on the structure of the conditional correlation matrix. An important feature of financial durations is the evidence of a strong diurnal variation over the trading day. In the fifth chapter we propose a new parameterization for describing the diurnal pattern of trading activity. The parametric structure of the diurnal component allows the duration process to change smoothly over the time-of-day according to the logistic transition function. The empirical results suggest that the diurnal variation may not always have the inverted U-shaped pattern for the trade durations as documented in earlier studies.

[Truncated abstract] Given the theoretical and historical evidence that support the benefit of investing internationally. there is Iittle knowledge available of proper international portfolio construction in terms of how much should be invested in foreign countries, which countries should be targeted, and types of assets to be included in the portfolio. The prospects of these benefits depend on the market volatilities, cross-country correlations, and currency risks to change in the future. Another important issue in international portfolio diversification is the growth of newly emerging markets which have different characteristics from the developed ones. Addressing the issues, the thesis intends to investigate the nature of volatility, conditional correlations, and the impact of currency risks in international portfolio, both in developed and emerging markets. Chapter 2 provides literature review on volatility spillovers, conditional correlations, and forecasting both VaR and conditional correlations using GARCH-type models. Attention is made on the estimated models, type of assets, regions of markets, and tests of forecasts. Chapter 3 investigates the nature of volatility spillovers across intemational assets, which is important in determining the nature of portfolio's volatility when most assets are seems to be connected. ... The impacts of incorporating volatility spillovers and asymmetric effect on the forecast performance of conditional correlation will also be examined in this thesis. The VARMA-AGARCH of McAleer, Hoti and Chan (2008) and the VARMA-GARCH model of Ling and McAleer (2003) will be estimated to accommodate volatility spillovers and asymmetric effect. The CCC model of Bollerslev (1990) will also be estimated as benchmark as the model does not incorporate both volatility spillovers and asymmetric effects. Given the information about the nature of conditional correlations resulted from the forecasts using a rolling window technique, Section 2 of Chapter 4 investigates the nature of conditional correlations by estimating two multivariate GARCH models allowing for time-varying conditional correlations, namely the DCC model of Engle (2002) and the GARCC model of McAleer et al. (2008). Chapter 5 conducts VaR forecast considering the important role of VaR as a standard tool for risk management. Especially, the chapter investigates whether volatility spillovers and time-varying conditional correlations discussed in the previous two chapters are of helps in providing better VaR forecasts. The BEKK model of Engle and Kroner (1995) and the DCC model of Engle (2002) will be estimated to incorporate volatility spillovers and conditional correlations, respectively. The DVEC model of Bollerslev et al. (1998) and the CCC model of Bollerslev (1990) will be estimated to serve benchmarks, as both models do not incorporate both volatility spillovers and timevarying conditional correlations. Chapter 6 concludes the thesis and lists somc possible future research.

A verificação de uma trajetória de valorização do câmbio ao longo de 2004 e 2005, que diminui a competitividade do produto brasileiro e a rentabilidade do setor exportador, ressaltou a importância das operações com adiantamentos de contratos de câmbio (ACCs) como meio de driblar os percalços de um câmbio adverso e manter a atratividade, em termos de lucratividade, da atividade exportadora. Este trabalho, então, busca aumentar o conjunto de informações dos exportadores que vislumbram a possibilidade de realizar operações de arbitragem com ACCs, analisando mais detalhadamente os fatores que determinam os resultados das operações com ACCs e verificando o papel da dinâmica cambial sobre esses ganhos. Para tal, são utilizados modelos econométricos de variância condicionada auto-regressiva (ARCH), cujos resultados sinalizam uma relação significativa e positiva entre volatilidade do câmbio e maiores margens de retorno na arbitragem com ACCs. / The appreciation path described by the exchange rate along 2004 and 2005, which reduced the Brazilian product competitiveness and the exportations profitability, showed the anticipation of exchange rate contracts (ACCs) importance as a way to overcome an adverse exchange rate and maintain the attractiveness of the exportation activity. Afterward, we try to increase the set of information of the exporters that look forward an ACC arbitrage operation possibility, analyzing more carefully the issues that determine their results and verifying the exchange rate dynamics role in those gains. Indeed, employing auto regressive conditioned heteroscedasticity (ARCH) econometric models, the results point out a significant and positive relationship between exchange rate volatility and larger ACC arbitrage returns.

A verificação de uma trajetória de valorização do câmbio ao longo de 2004 e 2005, que diminui a competitividade do produto brasileiro e a rentabilidade do setor exportador, ressaltou a importância das operações com adiantamentos de contratos de câmbio (ACCs) como meio de driblar os percalços de um câmbio adverso e manter a atratividade, em termos de lucratividade, da atividade exportadora. Este trabalho, então, busca aumentar o conjunto de informações dos exportadores que vislumbram a possibilidade de realizar operações de arbitragem com ACCs, analisando mais detalhadamente os fatores que determinam os resultados das operações com ACCs e verificando o papel da dinâmica cambial sobre esses ganhos. Para tal, são utilizados modelos econométricos de variância condicionada auto-regressiva (ARCH), cujos resultados sinalizam uma relação significativa e positiva entre volatilidade do câmbio e maiores margens de retorno na arbitragem com ACCs. / The appreciation path described by the exchange rate along 2004 and 2005, which reduced the Brazilian product competitiveness and the exportations profitability, showed the anticipation of exchange rate contracts (ACCs) importance as a way to overcome an adverse exchange rate and maintain the attractiveness of the exportation activity. Afterward, we try to increase the set of information of the exporters that look forward an ACC arbitrage operation possibility, analyzing more carefully the issues that determine their results and verifying the exchange rate dynamics role in those gains. Indeed, employing auto regressive conditioned heteroscedasticity (ARCH) econometric models, the results point out a significant and positive relationship between exchange rate volatility and larger ACC arbitrage returns.

A elevação de economias emergentes ao status de Grau de Investimento (GI) atesta que o país premiado seja seguro para o investimento, ou seja, que a disposição e capacidade do governo central de honrar os seus compromissos financeiros são elevadas. O objetivo central desta pesquisa é o de testar a hipótese de que a elevação de economias emergentes a Grau de Investimento, por agências de avaliação de rating, tem como consequência a mitigação de volatilidade em bolsa de valores no médio e no longo prazo. Para tanto, foi selecionado um grupo representativo de economias emergentes que já receberam o status de GI – México, Chile, Rússia, Índia e Coréia do Sul – e foram modeladas as séries de retornos dos principais índices de bolsa de valores das economias amostradas, fazendo uso de modelos da família GARCH. Desta forma, foi possível avaliar o comportamento da volatilidade condicional dos retornos de cada índice no médio e longo prazo. Os resultados obtidos validam em parte a hipótese levantada. Ou seja, foi verificado que todas as cinco economias amostradas apresentaram mitigação da volatilidade em bolsa de valores, no médio prazo, após a primeira elevação a GI. No longo prazo, no entanto, apenas o México, o Chile e a Rússia apresentaram persistência de mitigação de volatilidade em bolsa. Na Índia e na Coréia do Sul, por outro lado, houve reversão do movimento de mitigação de volatilidade, observado no médio prazo, havendo aumento no longo prazo. Ao avaliar o histórico de rating soberano dos países estudados, foi constatado que aqueles que tiveram rebaixamento de nota após o primeiro registro de GI – Índia e Coréia do Sul – somente apresentaram mitigação de volatilidade em bolsa no médio prazo, não tendo esse movimento se prolongado no longo prazo. / The upgrade of emerging markets to the status of Investment Grade country attest that the upgraded country is safe for investment, which means that the willingness and capacity of central government to honor its financial obligations are high. The main objective of this research is to test the hypothesis that emerging countries that have their sovereign rating upgraded to Investment Grade, by rating agencies, have as consequence mitigations of stock marker volatility in the medium and long run. A set of five representative emerging countries that received Investment Grade status in the past was selected – Mexico, Chile, Russia, India and South Korea – and, using GARCH family models, their main sock market index returns were modeled. So it was possible to asses the medium and long run behavior of conditional volatility of returns for every country selected. The result was that all the five economies had volatility mitigation in the medium run after the first Investment Grade status was granted. However, only Mexico, Chile and Russia had stock market volatility mitigation in the long run. India and Korea reverted volatility mitigation movement and showed gain of volatility in the long run. Assessing the sovereign rating historic of the five countries it was noticed that the countries that suffered rating downgrade after the first Investment Grade elevation – India and Korea – had stock market volatility growth in the long run.

Submitted by Alysson Oliveira Lima (alyssonlima@hotmail.com) on 2014-02-20T12:28:37Z No. of bitstreams: 1 DISSERTACAO FINAL - Alysson Oliveira Lima.pdf: 1422126 bytes, checksum: ea07829e7f2fef5ba62cea63d58dab7a (MD5) / Approved for entry into archive by Suzinei Teles Garcia Garcia (suzinei.garcia@fgv.br) on 2014-02-20T12:59:52Z (GMT) No. of bitstreams: 1 DISSERTACAO FINAL - Alysson Oliveira Lima.pdf: 1422126 bytes, checksum: ea07829e7f2fef5ba62cea63d58dab7a (MD5) / Made available in DSpace on 2014-02-20T13:03:40Z (GMT). No. of bitstreams: 1 DISSERTACAO FINAL - Alysson Oliveira Lima.pdf: 1422126 bytes, checksum: ea07829e7f2fef5ba62cea63d58dab7a (MD5) Previous issue date: 2014-01-28 / Desde a adoção do sistema de câmbio flutuante pelo Banco Central do Brasil, tanto a autoridade monetária quanto o governo brasileiro têm instituído medidas convencionais e não convencionais de intervenção no mercado de câmbio. Dentre essas medidas, salientam-se as compras e vendas de dólares no mercado de spot e derivativos, cujas finalidades precípuas seriam a tentativa de estabilizar os mercados em situação de 'stress' e suavizar uma determinada tendência de valorização ou desvalorização da moeda brasileira. O presente trabalho analisa os efeitos de referidas intervenções sobre a volatilidade na moeda brasileira. Utilizamos modelos econométricos da família ARCH (Autoregressive Conditional Heteroskedasticity) com o intuito de se averiguar o efeito sobre a volatilidade de curto e longo prazo, inclusive com metodologias semelhantes às empregadas em trabalhos direcionados a outras economias emergentes. Com o propósito de se estudar o efeito sinalizador das intervenções, foram utilizadas regressões simples com dados de volatilidade implícita e risk reversal do mercado de opções do dólar/real. Concluiu-se pela não relevância dos efeitos das intervenções sobre o nível da taxa de câmbio. No que concerne às volatilidades de curto e longo prazo, verificou-se que as vendas de dólares aumentam ambas as volatilidades, porém, quanto às compras, estas não apresentaram significância. No que se refere aos efeitos sinalizadores, via volatilidade implícita e risk reversal, estes também não expuseram relevância. Enfim, o que talvez possa consistir em fundamento para a não relevância dessas intervenções é o fato de o Brasil se consubstanciar em uma economia emergente e com menor credibilidade na condução de suas políticas monetárias. / Since Brazilian Central Bank adopted the floating exchange rate system, both the monetary authority and the Brazilian government have established conventional and unconventional measures to intervene in the foreign exchange market. Among these measures, it is important to emphasize the buying and selling dollars event in the spot and derivatives market, whose main purposes are to stabilize markets in distressful situations and to soften a particular trend of brazilian currency’s appreciation or depreciation. This paper exactly analyzes the effects of such interventions on the Brazilian currency volatility. We investigated the effect on the volatility of short and long terms, by means of ARCH (Autoregressive Conditional Heteroskedasticity) type models. To study the interventions signaling effect, we employed simple regressions with implied volatility and risk reversal of options market dollar/real. We are eligible that the effects of these interventions on the level of the exchange rate. Regarding the volatility of short and long term, selling dollars increases both volatilities, however, for the purchases, these did not show significant change. As for signaling effects, through implied volatility and risk reversal, effects are not relevant. We conjecture that the irrelevance of this interventions is due to the lack of credibility of the brazilian monetary policy

Submitted by André Panariello (andre.panariello@yahoo.com.br) on 2016-09-08T13:38:32Z No. of bitstreams: 1 DissAndre.pdf: 999529 bytes, checksum: 02ecf52c019411c80ce72b39268b2d33 (MD5) / Approved for entry into archive by Renata de Souza Nascimento (renata.souza@fgv.br) on 2016-09-08T16:51:12Z (GMT) No. of bitstreams: 1 DissAndre.pdf: 999529 bytes, checksum: 02ecf52c019411c80ce72b39268b2d33 (MD5) / Made available in DSpace on 2016-09-08T16:53:52Z (GMT). No. of bitstreams: 1 DissAndre.pdf: 999529 bytes, checksum: 02ecf52c019411c80ce72b39268b2d33 (MD5) Previous issue date: 2016-08-12 / This paper proposes a tool to detect statistical arbitrage opportunities in a particular pair of stocks in the Brazilian market. The technique is based on the construction of a synthetic asset that presents mean reversion process. The forecasts will be realized in the form of conditional probability density, which is based on econometric techniques such as autoregressive process (AR) and conditional variance of the residuals (GARCH). A trading system able to take advantage of mispricing observed by the synthetic asset dynamic is created. The approach will consider prices in one minute intervals and positions with limit orders and to market. Still be considered transaction costs and analysis of P&L for the cases addressed. / Este trabalho propõe uma ferramenta para detectar oportunidades de arbitragem estatística (AE) em um par específico de ações no mercado brasileiro. A técnica baseia-se na construção de um ativo sintético que apresente característica de reversão à média. Os forecasts serão realizados em forma de densidade de probabilidade condicional, elaborada com base em técnicas econométricas como processos autoregressivos (AR) e variância condicional dos resíduos (GARCH). Será criado um sistema de trading capaz de se aproveitar das discrepâncias de preços observadas através da dinâmica do ativo sintético. A abordagem considerará preços em intervalos de um minuto e posições tomadas com ordens limitadas e a mercado. Ainda serão considerados custos de transação e análise do P&L para os casos abordados.

Submitted by RENATO MORI (rmori3@hotmail.com) on 2017-09-20T05:58:01Z No. of bitstreams: 1 dissertacao_VaRArmaGarchSkewt.pdf: 3267680 bytes, checksum: 6a8a935c128bb04a8a4f91fb592de3a8 (MD5) / Approved for entry into archive by Thais Oliveira (thais.oliveira@fgv.br) on 2017-09-20T17:58:58Z (GMT) No. of bitstreams: 1 dissertacao_VaRArmaGarchSkewt.pdf: 3267680 bytes, checksum: 6a8a935c128bb04a8a4f91fb592de3a8 (MD5) / Made available in DSpace on 2017-09-21T13:36:32Z (GMT). No. of bitstreams: 1 dissertacao_VaRArmaGarchSkewt.pdf: 3267680 bytes, checksum: 6a8a935c128bb04a8a4f91fb592de3a8 (MD5) Previous issue date: 2017-08-22 / A proposta do estudo é aplicar ao Ibovespa, modelo paramétrico de VaR de 1 dia, com distribuição dos retornos dinâmica, que procura apreciar características empíricas comumente apresentadas por séries financeiras, como clusters de volatilidade e leptocurtose. O processo de retornos é modelado como um ARMA com erros GARCH que seguem distribuição t assimétrica. A metodologia foi comparada com o RiskMetrics e com modelos ARMA-GARCH com distribuição dos erros normal e t. Os modelos foram estimados diariamente usando uma janela móvel de 1008 dias. Foi verificado pelos backtests de Christoffersen e de Diebold, Gunther e Tay que dentre os modelos testados, o ARMA(2,2)- GARCH(2,1) com distribuição t assimétrica apresentou os melhores resultados. / The proposal of the study is to apply to Ibovespa a 1 day VaR parametric model, with dynamic distribution of returns, that aims to address empirical features usually seen in financial series, such as volatility clustering and leptocurtosis. The returns process is modeled as an ARMA with GARCH residuals that follow a skewed t distribution. The methodology was compared to RiskMetrics and to ARMA-GARCH with normal and t distributed residuals. The models were estimated every daily period using a window of 1008 days. By the backtests of Christoffersen and Diebold, Gunther and Tay, among the tested models, the ARMA(2,2)-GARCH(2,1) with skewed t distribution has given the best results.

Made available in DSpace on 2010-04-20T20:14:42Z (GMT). No. of bitstreams: 0 Previous issue date: 2000-04-04T00:00:00Z / Faz revisão teórica dos modelos de value-at-risk (VAR). Revisa principais estudos anteriores sobre VAR no Brasil e no exterior. Testa o desempenho de cinco metodologias de VAR, a saber: metodologia Paramétrica com uso da Volatilidade Histórica, Paramétrica com uso da Volatilidade EWMA, Paramétrica com uso da Volatilidade GARCH(1,1), Simulação Histórica e uma Metodologia Híbrida proposta por BOUDOUKH e taI (1998). Aplica as metodologias a carteiras teóricas compostas por proporções diversas de ações e títulos de renda fixa de 30 dias no mercado financeiro brasileiro. O trabalho encontra evidências da superioridade da Metodologia Híbrida com fator de caimento de 0,99 e da Simulação Histórica, sendo esta apenas marginalmente inferior, Estes resultados se coadunam com evidências encontradas nas séries em estudo de não normalidade, heterocedasticidade e autocorrelação. / This work analyses the performance of five value-at-risk methodologies, namely the Parametric Methodology making use of Historic Volatility, Parametric Methodology making use of Exponencial Weighting Moving Average (EWMA), Parametric Methodology making use of GARCH( 1,1), Historic Simulation and a Hybrid Methodology proposed by BOUDOUKH et aI. (1998). These models were applyied to the return time series of Ibovespa and 30-day fixed rate bonds, setting up five theoretic portfolios with varying weights of these two assets. Evidences in the studied period showed a superior performance of the Hybrid Methodology using a decay facto r of 0,99, followed closely by Historic Simulation. These results agree with the main time series characteristics, that is, non-normality, autocorrelation and heteroskedasticity of returns. Considering the remaining Parametric Methodologies, the EWMA volatility with decay factor of 0,99 achieved better results than GARCH (1, 1) and historic volatility. The worst results were provided by historic volatility. The initial hypothesis of this work, refering to a possible relationship between the performance of different VAR methodologies and the volatility level of the portfolio, that is, high/low volatility assets could have a major/minor response to methodology change, was not sustained by empirical evidences.

Made available in DSpace on 2010-04-20T20:48:38Z (GMT). No. of bitstreams: 3 71050100641.pdf.jpg: 15085 bytes, checksum: da94bf1ee170193cadfd39532db9d412 (MD5) 71050100641.pdf: 1002739 bytes, checksum: 24f904fbada233718e98bb0431662279 (MD5) 71050100641.pdf.txt: 115624 bytes, checksum: 49213ba733bbc49141b1a9b8047d5bec (MD5) Previous issue date: 2008-06-11T00:00:00Z / This thesis is divided in two chapters. The first chapter entitled "The Dynamics of the Dynamic Hedging" derives an optimal hedging ratio in a dynamic discrete-time stochastic setting allowing for margin requirements. Then, it empirically analyzes the dynamics of the hedging strategy in terms of wealth volatility by comparing alternative estimation methods. Besides considering margin accounts empirically, we also innovate by varying the out-of-sample hedging horizon for a representative investor from 10 to 127 days and evaluate the impact of the time horizon on the hedging efficiency. The second chapter entitled "The impact of ETS market on the futures prices of electricity or Kyoto 220 volts: Fast and Furious" addresses the economic impact of the carbon allowance market in European Emission Trading Scheme (ETS) on the futures market of electricity and gas prices. We also analyze the dynamics relationship among these markets with coal and natural gas futures markets. / O primeiro ensaio desenvolve e implementa um modelo de proteção (hedging) dinâmico considerando as chamadas de margem. O segundo ensaio trata-se de uma revisão teórica e de uma análise empírica do impacto do mercado de crédito de carbono europeu, impulsionado pelo Protocolo de Kyoto, no mercado futuro da eletricidade na Europa.