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Mathematical Economics has been taught in selected majors on University of Economics in Katowice since several years. Very dynamic modifications of academic education system and lecture schedules bring cogitations, new ideas and also many problems to solve. Therefore, there are many subjects of discussion connected with mathematical economics. Among others we can mention the following:  number of hours reserved for lectures of mathematical economics;  mathematical methods and economic knowledge required to attend in lectures of mathematical economics;  propositions to add in interesting and new subjects to the mathematical economics schedule. The purpose of the article is to present selected problems connected with schedule and substance in teaching of mathematical economics.
EN
This paper shows that traditional mean-variance portfolio choice, which is a fundamental CAPM assumption, oversimplifies the theory and neglects the relationship between real and security markets. This could also be the primary reason for why the model is so hard to prove using empirical tests. However, the von Neumann-Morgenstern quadratic utility function makes it possible to derive the CAPM from equilibrium in real markets. This is explored in the paper using a two-period finance economy model.
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