本研究旨在探討金融危機期間，美國與歐洲金融市場之日內報酬率、實質波動度、連續波動度與跳躍風險行為之日內因果關係，並採用美國三大指數期貨(S&P 500, Dow Jones, Nasdaq)及歐洲期數期貨(FTSE, DAX, CAC)之高頻資料，檢定是否具有顯著槓桿效果(Leverage Effect)與波動度回饋效果(Volatility Effect)、在報酬率與跳躍風險之間具有相互影響效果。探討在金融危機發生前、後期間其日內報酬率、實質波動度、連續波動度與跳躍項間在1分鐘、5分鐘及60分鐘之抽樣頻率下之日內行為。因此，實證研究包含金融市場之上升及下降趨勢，顯示在金融危機發生後，日內波動度與跳躍項之槓桿效果(Leverage Effect)與波動度回饋效果(Volatility Effect)受到叢聚(Clustering)現象影響且顯著增加。不同抽樣頻率下之因果關係效果在金融危機發生前、中、後期間，特別在5分鐘及60分鐘之抽樣頻率方式，跳躍風險受到波動度回饋效果影響呈顯著增加，此實證結果對政策制定者及投資人具有重要之意涵。 / This study examines the intraday causality between returns, volatility and jumps in the U.S. and European markets during the financial crisis. examine whether during the financial crisis, the S&P 500, Dow Jones, Nasdaq, FTSE, DAX and CAC index futures markets have a significant impact on the leverage and volatility feedback effects, as well as whether these interactions also occur between returns and jumps. The intraday behavior of 1-min, 5-min and 60-min sampling of returns, volatility and jumps is examined by employing data from the period between financial crisis. The study covers the major upward and downward trends in the market. Our empirical data indicate the main leverage and volatility feedback effects caused by intraday volatility and jump clustering significantly increased after the financial crisis. The causality effects with different sampling frequencies before, during and after the financial crisis show that jumps have increased the volatility feedback effect, especially when in a 5-min and 60-min sampling frequency is used. These findings have important implications for both policymakers and investors.

Tato disertační práce se zabývá problematikou zpracování vysokofrekvenčních časových řad. Zaměřuje se na návrh algoritmů a metod pro podporu predikce těchto dat. Výsledkem je model pro podporu řízení rozhodovacího procesu implementovaný do platformy pro komplexní zpracování dat. Model navrhuje způsob formalizace množiny podnikových pravidel, které popisují rozhodovací proces. Navržený model musí vyhovovat splnění požadavků na robustnost, rozšiřitelnost, zpracování v reálném čase a požadavkům ekonometriky. Práce shrnuje současné poznatky a metodologie pro zpracování vysokofrekvenčních finančních dat, jejichž zdrojem jsou nejčastěji burzy. První část práce se věnuje popisu základních principů a přístupů používaných pro zpracování vysokofrekvenčních časových dat v současné době. Další část se věnuje popisu podnikových pravidel, rozhodovacího procesu a komplexní platformy pro zpracování vysokofrekvenčních dat a samotnému zpracování dat pomocí zvolené komplexní platformy. Důraz je kladen na výběr a úpravu množiny pravidel, které řídí rozhodovací proces. Navržený model popisuje množinu pravidel pomocí maticové gramatiky. Tato gramatika spadá do oblasti gramatik s řízeným přepisováním a pomocí definovaných matic umožňuje ovlivnit zpracování dat.

Diese Arbeit untersucht Inferenz für Streuungsparameter bedingter Gaußprozesse anhand diskreter verrauschter Beobachtungen in einem Hochfrequenz-Setting. Unser Ziel dabei ist es, eine asymptotische Charakterisierung von effizienter Schätzung in einem allgemeine Gaußschen Rahmen zu finden. Für ein parametrisches Fundamentalmodell wird ein Hájek-Le Cam-Faltungssatz hergeleitet, welcher eine exakte asymptotische untere Schranke für Schätzmethoden liefert. Dazu passende obere Schranken werden konstruiert und die Bedeutung des Satzes wird verdeutlicht anhand zahlreicher Beispiele wie der (fraktionellen) Brownschen Bewegung, dem Ornstein-Uhlenbeck-Prozess oder integrierten Prozessen. Die Herleitung der Effizienzresultate basiert auf asymptotischen Äquivalenzen und kann für verschiedene Verallgemeinerungen des parametrischen Fundamentalmodells verwendet werden. Als eine solche Erweiterung betrachten wir das Schätzen der quadrierten Kovariation eines stetigen Martingals anhand verrauschter asynchroner Beobachtungen, welches ein fundamentales Schätzproblem in der Öknometrie ist. Für dieses Modell erhalten wir einen semi-parametrischen Faltungssatz, welcher bisherige Resultate im Sinne von Multidimensionalität, Asynchronität und Annahmen verallgemeinert. Basierend auf den vorhergehenden Herleitungen entwickeln wir einen statistischen Test für den Hurst-Parameter einer fraktionellen Brownschen Bewegung. Ein Score- und ein Likelihood-Quotienten-Test werden implementiert sowie analysiert und erste empirische Eindrücke vermittelt. / This work studies inference on scaling parameters of a conditionally Gaussian process under discrete noisy observations in a high-frequency regime. Our aim is to find an asymptotic characterisation of efficient estimation for a general Gaussian framework. For a parametric basic case model a Hájek-Le Cam convolution theorem is derived, yielding an exact asymptotic lower bound for estimators. Matching upper bounds are constructed and the importance of the theorem is illustrated by various examples of interest such as the (fractional) Brownian motion, the Ornstein-Uhlenbeck process or integrated processes. The derivation of the efficiency result is based on asymptotic equivalences and can be employed for several generalisations of the parametric basic case model. As such an extension we consider estimation of the quadratic covariation of a continuous martingale from noisy asynchronous observations, which is a fundamental estimation problem in econometrics. For this model, a semi-parametric convolution theorem is obtained which generalises existing results in terms of multidimensionality, asynchronicity and assumptions. Based on the previous derivations, we develop statistical tests on the Hurst parameter of a fractional Brownian motion. A score test and a likelihood ratio type test are implemented as well as analysed and first empirical impressions are given.

This master thesis concentrates on the influence of liquidity measures on the prediction of volatility and given the magic triangle phenomena subsequently on the expected return. Liquidity measures Amihud Illiquidity, Amivest Liquidity and Roll adjusted for high frequency data have been utilized. Dataset used for the modeling was consisting of 98 shares that were traded on S&P 100. The time range was from 1st January 2013 to 31st December 2014. We have found out that the liquidity truly enters into the return-volatility relationship and influences these variables - the magic triangle interacts. However, contrary to our hypothesis, the model shows up that lower liquidity signifies lower realized risk. This inference has been suggested by all three models (3SLS, 2SLS and OLS). Furthermore, we have used the realized variance and bi-power variation to separate the jump. Our second hypothesis that lower liquidity signifies higher frequency of jumps was confirmed only for one of two liquidity proxies (Roll) included in the resulting logit FE model. Keywords liquidity, risk, volatility, expected return, magic triangle, price jumps, realized variance, bi-power variation, three-stage least squares model, logit, high-frequency data, S&P 100 Author's e-mail david.brandejs@seznam.cz Supervisor's e-mail...

[pt] O objetivo do presente trabalho é o desenvolvimento de um algoritmo estatístico de previsão da potência transmitida pela usina geradora termelétrica de Linhares, localizada no Espírito Santo, medida no ponto de entrada da rede da concessionária regional, a ser integrado em plataforma composta por sistema supervisório em tempo real em ambiente MS Windows. Para tal foram comparadas as metodologias de Modelos Arima(p,d,q), regressão usando polinômios ortogonais e técnicas de amortecimento exponencial para identificar a mais adequada para a realização de previsões 5 passos-à-frente. Os dados utilizados são provenientes de observações registradas a cada 5 minutos, contudo, o alvo é produzir estas previsões para observações registradas a cada 5 segundos. Os resíduos estimados do modelo ajustado foram analisados via gráficos de controle para checar a estabilidade do processo. As previsões produzidas serão usadas para subsidiar decisões dos operadores da usina, em tempo real, de forma a evitar a ultrapassagem do limite de 200.000 kW por mais de quinze minutos. / [en] The objective of this study is to develop a statistical algorithm to predict the power transmitted by a thermoelectric power plant in Linhares, located at Espírito Santo state, measured at the entrance of the utility regional grid, which will be integrated to a platform formed by a real time supervisor system developed in MS Windows. To this end we compared Arima (p,d,q), Regression using Orthogonal Polynomials and Exponential Smoothing techniques to identify the best suited approach to make predictions five steps ahead. The data used are observations recorded every 5 minutes, however, the target is to produce these forecasts for observations recorded in every five seconds. The estimated residuals of the fitted model were analysed via control charts to check on the stability of the process. The forecasts produced by this model will be used to help not to exceed the 200.000 kW energy generation upper bound for more than fifteen minutes.

Les marchés financiers sont sujets quotidiennement à la diffusion de statistiques économiques ainsi que leurs prévisions par des institutions publiques et privées. Ces annonces sont prévues ou non prévues. Les annonces prévues sont organisées selon un calendrier connu à l’avance par tous les opérateurs. Ces annonces telles que les statistiques d'activité, d’exportation ou de sentiments, sont publiées une fois par mois par des agences spécialisées telles que Bloomberg. La diffusion d’une statistique économique ou financière est toujours précédée par la publication de sa prévision calculée comme la médiane de toutes les prévisions individuelles fournies par les agents. Cette médiane est un proxy de la vision commune des opérateurs et aide à la construction d'une représentation collective de l'environnement économique. Le premier chapitre de ma thèse a pour objectif d'analyser l'hétérogénéité dans la prévision des annonces macroéconomiques est testée grâce à des données mensuelles de prévisions issues d'enquêtes conduites par Bloomberg, sur une série d'indicateurs macroéconomiques. S’ensuit alors une deuxième problématique. Quels sont aux yeux des investisseurs, les critères qui permettent de considérer qu’une annonce est plus importante qu’une autre ? L’analyse du processus par lequel une information est incorporée dans les cours, nous a éclairés sur l’existence d’une forte rotation dans les statistiques considérées comme importantes (Market Mover indicators). Le deuxième chapitre tente donc de répondre à cette problématique. Dans un dernier chapitre je m’interroge sur la dynamique des prix post-publications d’annonces macroéconomiques et financières. Des connections sont réalisées entre les Jumps sur les cours des actifs et les annonces macroéconomiques, financières mais aussi imprévues. / Financial markets are subjected daily to the diffusion of economic indicators and their forecasts by public institutions and even private ones. These annoncements can be scheduled or unscheduled. The scheduled announcements are organized according to a specific calendar and known in advance by all operators. These news such as activity indicators, credit, export or sentiments’ surveys, are published monthly or quarterly by specialized agencies to all operators in real time. Our thesis contributes to diferent literatures and aims to thoroughly analyze the three phases of the diffusion process of new information on financial markets : anticipation of the announcement before its publication, interest that arouse its publication and impact of its publication on market dynamics. The aim of the first chapter is to investigate heterogeneity in macroeconomic news forecasts using disaggregate data of monthly expectation surveys conducted by Bloomberg on macroeconomic indicators from January 1999 to February 2013. The second chapter examines the impact of surprises associated with monthly macroeconomic news releases on Treasury-bond returns, by paying particular attention to the moment at which the information is published in the month. In the third chapter we examine the intraday effects of surprises from scheduled and unscheduled announcements on six major exchange rate returns (jumps) using an extension of the standard Tobit model with heteroskedastic and asymmetric errors.

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