Estudo de séries de tempo financeiras sob a perspectiva do teorema das seções de Lévy

Abstract

This study aimed to analyze financial time series grounded on a perspective of time measure changing, based on accumulation of volatility of returns relative to the prices observed. Such a scale was used for two reasons: the first one is related to Ludwig Von Mises’ proposition of time concept in an economic system and the second one is related to the acceleration of convergence in Gaussian distribution of a sequence of random variables, according to Lévy sections theorem. By means of implementation of this new timeline, we designed a type of trading asset strategy which its resulting average returns and risk were compared to a strategy using daily time unit. Results suggested reflection about statistical and measurement procedures applied to the data.