The authors oriented their research work by the modelling of the development of inflation rates, discount interest rates, general government gross debts in the EU-Countries with the aim to estimate their position from the view of fulfilling of The Maastricht Agreement and their possible development in the next years. From the modelling techniques there were used the methods of classical modelling - Quassi Newton and Hooke-Jeeves iteration methods - as well as the methods of exponential smoothing and forecasting. The criterion for the suitability of the model was the Mean Squared Error.