Fractional dynamics in financial indexes

The goal of this study is the analysis of the dynamical properties of financial data series from 32 worldwide stock market indices during the period 2000–2009 at a daily time horizon. Stock market indices are examples of complex interacting systems for which a huge amount of data exists. The methods and algorithms that have been explored for the description of physical phenomena become an effective background in the analysis of economical data. In this perspective are applied the classical concepts of signal analysis, Fourier transform and methods of fractional calculus. The results reveal classification patterns typical of fractional dynamical systems.

Analysis of financial data series using fractional Fourier transform and multidimensional scaling

The goal of this study is the analysis of the dynamical properties of financial data series from worldwide stock market indexes during the period 2000–2009. We analyze, under a regional criterium, ten main indexes at a daily time horizon. The methods and algorithms that have been explored for the description of dynamical phenomena become an effective background in the analysis of economical data. We start by applying the classical concepts of signal analysis, fractional Fourier transform, and methods of fractional calculus. In a second phase we adopt the multidimensional scaling approach. Stock market indexes are examples of complex interacting systems for which a huge amount of data exists. Therefore, these indexes, viewed from a different perspectives, lead to new classification patterns.

Persistence characteristics in financial prices: evidence from the portuguese stock market returns

The objective of this article is to provide additional knowledge to the discussion of long-term memory, leaning over the behavior of the main Portuguese stock index. The first four moments are calculated using time windows of increasing size and sliding time windows of fixed size equal to 50 days and suggest that daily returns are non-ergodic and non-stationary. Seeming that the series is best described by a fractional Brownian motion approach, we use the rescaled-range analysis (R/S) and the detrended fluctuation analysis (DFA). The findings indicate evidence of long term memory in the form of persistence. This evidence of fractal structure suggests that the market is subject to greater predictability and contradicts the efficient market hypothesis in its weak form. This raises issues regarding theoretical modeling of asset pricing. In addition, we carried out a more localized (in time) study to identify the evolution of the degree of long-term dependency over time using windows 200-days and 400-days. The results show a switching feature in the index, from persistent to anti-persistent, quite evident from 2010.

Long-term dependence in financial prices: evidence from the Belgian stock market returns

This article aims to contribute to the discussion of long-term dependence, focusing on the behavior of the main Belgian stock index. Non-parametric analyzes of the general characteristics of temporal frequency show that daily returns are non-ergodic and non-stationary. Therefore, we use the rescaled-range analysis (R/S) and the detrended fluctuation analysis (DFA), under the fractional Brownian motion approach, and we found slight evidence of long-term dependence. These results refute the random walk hypothesis with i.i.d. increments, which is the basis of the EMH in its weak form, and call into question some theoretical modeling of asset pricing. Other more localized complementary study, to identify the evolution of the degree of dependence over time windows, showed that the index has become less persistent from 2010. This may mean a maturing market by the extension of the effects of current financial crisis.

Long-term memory in financial prices: evidence from the Dutch stock market returns

Prepared for presentation at the Portuguese Finance Network International Conference 2014, Vilamoura, Portugal, June 18-20

A fractional perspective to financial indices

The application of mathematical methods and computer algorithms in the analysis of economic and financial data series aims to give empirical descriptions of the hidden relations between many complex or unknown variables and systems. This strategy overcomes the requirement for building models based on a set of ‘fundamental laws’, which is the paradigm for studying phenomena usual in physics and engineering. In spite of this shortcut, the fact is that financial series demonstrate to be hard to tackle, involving complex memory effects and a apparently chaotic behaviour. Several measures for describing these objects were adopted by market agents, but, due to their simplicity, they are not capable to cope with the diversity and complexity embedded in the data. Therefore, it is important to propose new measures that, on one hand, are highly interpretable by standard personal but, on the other hand, are capable of capturing a significant part of the dynamical effects.

A gestão de riscos de negócio e o seu reporte

Dissertação de Mestrado Apresentada ao Instituto de Contabilidade e Administração do Porto para a obtenção do grau de Mestre em Auditoria, sob orientação do Mestre Carlos Mendes.

Fatores determinantes da constituição das provisões em Portugal e no Brasil

Dissertação de Mestrado apresentado ao Instituto de Contabilidade e Administração do Porto para a obtenção do grau de Mestre em Contabilidade e Finanças, sob orientação de Professora Doutora Cláudia Maria Ferreira Pereira

Multi-Objective and Financial Portfolio Optimization of Carrier-Sense Multiple Access Protocols with Cooperative Diversity

8th International Workshop on Multiple Access Communications (MACOM2015), Helsinki, Finland.

Provisões, passivos contingentes e activos contingentes

A adopção do Sistema de Normalização Contabilística constitui um marco muito importante na organização da contabilidade das empresas portuguesas. As inovações trazidas por este normativo e o maior pormenor de algumas matérias contabilísticas levam a que temáticas que eram pouco abordadas suscitem agora um maior interesse. Neste sentido, o presente trabalho, assente na Norma Contabilística e de Relato Financeiro (NCRF) 21, pretende demonstrar as alterações e melhorias trazidas por esta norma no reconhecimento e divulgação das provisões, passivos contingentes e activos contingentes, tendo como referências comparativas o anterior normativo contabilístico, o Plano Oficial de Contabilidade (POC). Através da presente dissertação pretende-se compreender a aplicação da norma ao nível do relato financeiro, através da análise dos Relatórios e Contas de 2010 e 2009 de empresas do sector da Construção. Pelo estudo realizado pode constatar-se que o cumprimento da NCRF 21 trouxe aperfeiçoamento no reconhecimento e divulgação das provisões, e principalmente na divulgação das contingências, praticamente omitidas com o POC. No entanto, deve destacar-se a subjectividade implícita nas provisões, sendo ainda, uma norma de difícil aplicação pela sua ambiguidade. Deve também realçar-se a importância da NCRF 3 - Adopção pela primeira vez das Normas Contabilísticas e de Relato Financeiro, que implicou uma reexpressão das contas de saldos de abertura em 2010 de acordo com o novo referencial contabilístico, o que obrigou as empresas a rever as provisões constituídas até à data Uma breve revisão bibliográfica referente ao tema da problemática fiscal foi ainda realizada.