Analysis of financial indices by means of the windowed Fourier transform

The goal of this study is to analyze the dynamical properties of financial data series from nineteen worldwide stock market indices (SMI) during the period 1995–2009. SMI reveal a complex behavior that can be explored since it is available a considerable volume of data. In this paper is applied the window Fourier transform and methods of fractional calculus. The results reveal classification patterns typical of fractional order systems.

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.

Mecanismos de gestão de recursos humanos no setor público: as implicações da austeridade

Dissertação de Mestrado apresentada ao Instituto Politécnico do Porto para cumprimento dos requisitos necessários à obtenção do grau de Mestre em Gestão das Organizações – Ramo de Gestão de Empresas Orientador: Professor Doutor Pedro Nunes Orientador: Professor Henrique Curado

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 contabilidade de gestão nas autarquias locais: o caso do Município de Espinho

Trabalho de Projeto apresentado ao Instituto de Contabilidade e Administração do Porto para a obtenção do grau de Mestre em Auditoria Orientação: Doutora Alcina Augusta de Sena Portugal Dias Coorientação: Doutora Amélia Cristina Ferreira Silva

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.

The impact of an online mathematics education project (MATACTIVA) on higher education students

The Online Mathematics Education Project (MatActiva) is an exciting new initiative which aims to support and enhance mathematics education. The project is led by the Institute of Accounting and Administration of Porto (ISCAP), part of the Polytechnic Institute of Porto (IPP). It provides innovative resources and carefully constructed materials around themes such as Elementary Mathematics, Calculus, Algebra, Statistics and Financial Mathematics to help support and inspire students and teachers of mathematics. The goal is to increase mathematical understanding, confidence and enjoyment, enrich the mathematical experience of each person, and promote creative and imaginative approaches to mathematics. Furthermore the project can be used to deliver engaging and effective mathematics instruction through the flipped classroom model. This paper also presents the findings of a large survey, whose propose was to study the student’s reaction to the project.

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.

Análise do desempenho na administração pública com recurso a rácios financeiros

O objetivo geral deste trabalho é a Análise do Desempenho na Administração Pública com recurso a Rácios Financeiros (Caso do Município de Matosinhos). Neste estudo iremos fazer uma análise económica e financeira do Município de Matosinhos avaliando seu o desempenho nos períodos de 2011 a 2014 e também, iremos analisar alguns fatores que influenciam a estrutura de capital dos 12 Municípios de grande dimensão e o seu desempenho. Quanto à análise económica e financeira do Município de Matosinhos, os resultados mostram, que a curto prazo é possível afirmar que o Município de Matosinhos se encontra numa situação favorável em termos de liquidez, com uma boa margem de segurança, ou seja, consegue solver os compromissos a curto. Verifica-se que o Município de Matosinhos ao longo do quadriénio foi recorrendo cada vez menos a capitais alheios para conseguir financiar os seus ativos, tendência positiva em termos do equilíbrio da estrutura financeira municipal. Tentando confirmar a existência ou inexistência de uma relação entre a estrutura de capital (endividamento) e o desempenho (rendibilidade do ativo) com os fatores que as influenciam, foi realizada uma análise de correlação não paramétrica de Spearman com recurso ao SPSS versão 21. Ao contrário da hipótese formulada e das conclusões chegadas em grande parte dos estudos efetuados, verifica-se a existência de uma relação negativa a um nível de significância de 5%, entre o nível de endividamento e a dimensão do Município. Quanto a relação o entre o endividamento com composição do ativo e a rendibilidade do ativo, os resultados não são satisfatórios, mostram uma inexistência da relação entre o endividamento e esses fatores. Verifica-se uma correlação positiva para um nível de significância de 1% entre a rendibilidade do ativo e crescimento, ou seja, os Municípios com maior taxa de crescimento apresentam uma maior rendibilidade do ativo. Este resultado confirma-se a nossa hipótese 4. Porém, em relação a associação positiva entre a rendibilidade do Município e a sua dimensão, os resultados evidenciaram uma inexistência de qualquer relação entre as variáveis.