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Arrow-Debreu Model of General Equilibrium
Juřena, Filip ; Červinka, Michal (advisor) ; Adam, Tomáš (referee)
Arrow-Debreu Model of General Equilibrium Filip Juřena Abstract In this thesis, we deal with the Arrow-Debreu model of general equilibrium, which is an integrated model of production, exchange and consumption. At the beginning, we present and discuss the original assumptions of the Arrow-Debreu model, i.e. the assumptions introduced by Kenneth J. Arrow and Gerard Debreu in 1954. Under these assumptions, Arrow and Debreu proved the existence of a general equilibrium. As a part of the proof, Arrow and Debreu showed that the equilibria of their model are the same as the equilibria of an abstract economy, or a generalized Nash equilibrium problem (GNEP). We describe the GNEP and look at whether there is a connection which allows to apply results developed by researchers from other disciplines to the Arrow-Debreu model. A part of the thesis is dedicated to a two-factor, two-commodity, two-consumer model, which is based on the original assumptions of Arrow and Debreu. In order to find the solution, we use a method called applied general equilibrium modelling and a software called GAMS. We examine the impact of better technology and taxes on consumers and producers. We have brief remarks on applications of the model at the end.
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Impact of the low yield environment on banks and insurers: Evidence from equity prices
Juřena, Filip ; Jakubík, Petr (advisor) ; Teplý, Petr (referee)
Using static and dynamic panel data analysis, we examine how interest rates influenced equity prices of European banks and insurance companies between 2006 and 2015. Identification and quantification of effects of the low yield environment, which is a consequence of decreasing interest rates, are crucial for regulators and policy makers. Our static and dynamic models show that decreasing short-term interest rates had a negative impact both on banks and insurers. In this thesis, dynamic models are estimated by means of the Blundell- Bond system GMM estimator and we consider their results superior to the results of static models because all underlying assumptions of the dynamic models are met here. Results obtained by employing the Blundell-Bond system GMM estimator suggest that life insurers were effected more than banks, while banks were effected more than non-life insurers. In case of a 1 percentage point decrease in short-term interest rates, equity prices of life insurers are estimated to decrease on average by 18 %, equity prices of banks by 8 %, and equity prices of non-life insurers by 3 %. JEL Classification C33, C36, C61, E44, G21, G22 Keywords interest rates, equity prices, static panel analy sis, dynamic panel analysis, system GMM esti mator Author's e-mail jurena.filip.l@ gm ail.com...
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Arrow-Debreu Model of General Equilibrium
Juřena, Filip ; Červinka, Michal (advisor) ; Adam, Tomáš (referee)
Arrow-Debreu Model of General Equilibrium Filip Juřena Abstract In this thesis, we deal with the Arrow-Debreu model of general equilibrium, which is an integrated model of production, exchange and consumption. At the beginning, we present and discuss the original assumptions of the Arrow-Debreu model, i.e. the assumptions introduced by Kenneth J. Arrow and Gerard Debreu in 1954. Under these assumptions, Arrow and Debreu proved the existence of a general equilibrium. As a part of the proof, Arrow and Debreu showed that the equilibria of their model are the same as the equilibria of an abstract economy, or a generalized Nash equilibrium problem (GNEP). We describe the GNEP and look at whether there is a connection which allows to apply results developed by researchers from other disciplines to the Arrow-Debreu model. A part of the thesis is dedicated to a two-factor, two-commodity, two-consumer model, which is based on the original assumptions of Arrow and Debreu. In order to find the solution, we use a method called applied general equilibrium modelling and a software called GAMS. We examine the impact of better technology and taxes on consumers and producers. We have brief remarks on applications of the model at the end.
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