"Scientific research" Almanac

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  EQUILIBRIUM IN STOCHASTIC OPTIMIZATION MODELS WITH ECONOMIC APPLICATIONS

  The subject of this work is the application of a linear quadratic model which is a result of the stochastic modeling process in the economic field. A dynamic economic process is modeled, which occurs in conditions described by a stochastic differential equation. The dynamics of the process is subject to jump-like changes. Such systems are known as ... The subject of this work is the application of a linear quadratic model which is a result of the stochastic modeling process in the economic field. A dynamic economic process is modeled, which occurs in conditions described by a stochastic differential equation. The dynamics of the process is subject to jump-like changes. Such systems are known as Markov jump linear systems. The target in the observed process is modeled through a functional which has to be minimized. The result is a linear quadratic stochastic model. The equilibrium search model is related to the numerical solution of a system of generalized discrete-time algebraic Riccati equations. Methods for finding the maximal solution to a system of discrete-time algebraic Riccati equations are investigated. Moreover, new methods and algorithms for computing of this maximal solution are proposed. The numerical characteristics of algorithms are analyzed in special cases of negative definite weighting matrices and indefinite weighting ones. Conclusions are derived of the applicability and efficiency of the proposed methods.

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  THE IMPORTANCE OF FINANCIAL DERIVATIVES IN A PHASE OF FINANCIAL UNCERTAINTY AND GLOBAL RECESSION

  The scale of the importance of financial derivatives can be judged by many indicators, including: extremely fast and versatile development; the sum of outstanding positions in derivatives, which transitory value exceeds from 6 to 10 times the gross annual production of all economies in the world; the attractive income opportunities and unique ... The scale of the importance of financial derivatives can be judged by many indicators, including: extremely fast and versatile development; the sum of outstanding positions in derivatives, which transitory value exceeds from 6 to 10 times the gross annual production of all economies in the world; the attractive income opportunities and unique techniques for risk management. In the same time, there are extreme opinions in which the financial derivatives are blamed for the global financial crisis and huge losses of various types of market players. The present study attempts to find and outline the real importance of financial derivatives for investment activity and global economy in the period from the beginning of financial crisis and the subsequent economic recession. Analyzed manifestations of financial derivatives in key events in recent years have shown their crucial role in „early diagnosing” of the global economic crisis, and their positive impact on capital market and indirect support to real economic sectors in a phase of recession. The methodology includes correlation study between derivatives, stock market and macroeconomic indicators.

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  ECONOMIC PROBLEMS OF ENERGY DEVELOPMENT – RENEWABLE ENERGY SOURCES AND ECONOMIC EFFICIENCY

  The scientific research on the topic: „Economic problems of energy development – renewable energy sources and energy efficiency” is of theoretical and practical character. One of the most important aspects of energy production for overcoming the scarcity of raw materials is associated with the use of renewable energy sources. These sources are ... The scientific research on the topic: „Economic problems of energy development – renewable energy sources and energy efficiency” is of theoretical and practical character. One of the most important aspects of energy production for overcoming the scarcity of raw materials is associated with the use of renewable energy sources. These sources are regarded as a key factor for switching to low carbon economies, ensuring security of energy supply, development of new high-tech industries and providing the so-called „Green growth”.