Normal Distribution of Returns of Warsaw Stock Exchange Indexes

Abstract

The paper verified the hypothesis regarding a normal distribution of returns of Warsaw Stock Exchange indexes for the following time intervals: daily, weekly, monthly, quarterly and yearly. The analyzed rates of return were calculated in the following outlines: closing-closing, opening-opening, opening-closing and overnight. The verification of statistical hypotheses was conducted with the use of the following seven statistical tests: Kolmogorov-Smirnov, Lilliefors, Shapiro-Wilk, Chi-squared, Cramer von Mises, Watson, Anderson-Darling. The analyzed indexes were ranked due to the convergence of their return to the normal distribution with the use of the following tests: Jarque-Bera, Shapiro-Wilk and D’Agostino-Pearson.