Universality in the stock exchange market

• Tipo: Artigo em Revista Científica Internacional
• Data: 2011

Autores

R. Gonçalves (Autor) FEUP; H. Ferreira (Autor) Outra; A. A. Pinto (Autor) FCUP

Revista

Título: Journal of Difference Equations and Applications

Vol. 17 Nº 7

Páginas: 1049-1063

ISSN: 1023-6198

Editora: Taylor & Francis

Indexação

ISI Web of Knowledge - 5 Citações

Scopus - 7 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-002-XC9

DOI: 10.1080/10236191003657212

Abstract (EN): We consider the alpha re-scaled Standard & Poor's 100 (SP100) daily index positive returns r(t)(alpha) and negative returns (-r(t))(alpha) that we call, after normalization, the alpha positive fluctuations and alpha negative fluctuations, respectively. We use the Kolmogorov-Smirnov statistical test as a method to find the values of alpha that optimize the data collapse of the histogram of the alpha fluctuations with the truncated Bramwell-Holdsworth-Pinton (BHP) probability density function (pdf) and the truncated generalized log-normal pdf f(LN) that best approximates the truncated BHP pdf. The optimal parameters we found are alpha(+)(BHP) = 0.52, alpha(-)(BHP) = 0.48, alpha(+)(LN) = 0.52 and alpha(-)(LN) = 0.50. Using the optimal alpha's, we compute analytical approximations of the probability distributions of the normalized positive and negative SP100 index daily returns r(t). Since the BHP pdf appears in several other dissimilar phenomena, our result reveals a universal feature of the stock exchange markets.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 15