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Abstract. Let G be a finite group. By a rational coefficient system for G we mean a contravariant functor from the category of canonical orbits of G and G-maps into the category of Q-vector spaces. In this paper we study injective objects in the category of rational coefficient systems for G.

In this paper, we analyze dependencies between the currencies of chosen emerging countries and the major (global) currencies – the euro and the American dollar. The idea is taken from a paper by Eun and Lai proposing a method to verify an opinion that currencies systematically co-move and the pattern of co-movement is significantly driven by the relative influence of the two global currencies. The observation by Eun and Lai is that in the case when a minor currency XYZ is driven by the US dollar, the exchange rates XYZ/EUR and USD/EUR co-move very closely. In the opposite case, i.e. when the XYZ is influenced by the euro, the exchange rates XYZ/USD and EUR/USD show strong interdependence. In our approach, the dynamics of dependencies is modeled by means of 3-regime Markov regime switching copula models, and the considered measures of the strength of the linkages are dynamic Spearman’s rho and tail dependence coefficients. Applying the Markov regime switching copula models allows us to capture temporal changes in the impact of the global currencies on the analyzed minor ones. Our results show that the euro area of influence is widening, and that during the considered period some of the analyzed currencies are releasing from the US dollar impact.

A b s t r a c t. We analyze the dynamics and strength of linkages between the Czech, Hungarian and Polish stock markets after the EU accession of the corresponding countries. In addition, we examine linkages between each of the markets and developed markets (European and US). The analysis is based on the daily quotations of the main representative stock indices (PX, BUX, WIG20, DAX, S&P 500) and includes the period from May 5, 2004 to July 20, 2012. The dynamics of dependencies is modeled by means of Markov-switching copula models, and the applied measures of the strength of the linkages are dynamic Spearman's rho and tail dependence coefficients. The results show that dependencies between the considered emerging markets are very sensitive on market situation, but the linkages of these markets with the developed ones are stable.K e y w o r d s: Central European stock market, conditional dependence, Markov-switching copula model, Spearman's rho, tail dependence, model confidence set, stock index. J E L Classification: G15; G01; C32; C58.