Internal regulation no. 12/2013 Directive of the rector of the Comenius University in Bratislava, avout the basic requirements of final theses, rigorous theses and habilitation theses, their originality controll, preservation and access at the Comenius University in Bratislava.

STN ISO 690:2010(E) Information and documentation Guidelines for bibliographic references

and citations to information resources.

Economic and mathematical literature according to the recommendation of the supervisor of the thesis

Slovak language and English language

The syllabus is given by the diploma supervisor at the beginning of the semester according to the specifications of the assignment.

After competing, students will be able to process the results of their own conceptual economic-mathematical analysis in a comprehensive and systematic written form, prepare a systematic electronic presentation (in power-point) and lead a qualified discussion about it.

Branson, W.H. – Litvack, J.M.(1981) : Macroeconomics. Hasper and Row publishers. New York.

Felderer, B. – Homburg, S.(1995): Makroekonomika a nová makroekonomika. Elita, Bratislava .

Kreps, David M.(1990): A Course in Microeconomic Theory. Princeton, Princeton University

Press..

Mlynarovič, V. (1988): Kvantitatívna makroekonómia, Ekonóm, Bratislava.

Mlynarovič, V – V. Miťková.(2010): Makroekonomická anaýza, IURA Edition, Bratislava.

Pentecost, E.J. (2000): Macroeconomics, MacMillan Press, Ltd., London.

Romer. D.(1996): Advanced Macroeconomics, New York, McGraw – Hill.

Varian, Hal R. (1992): Microeconomic Analysis. New York, W.W. Norton & Company.

Prerequisites: All compulsory, optional and selection courses according to the study plan.

The grade is awarded by the state examination committee.

Rating A B C D E FX

points 91-100 81-90 73-80 66-72 60-65 <59

State exam syllabus:

1. Risk management in banking.

2. Monetary policy (operations on free market, mandatory minimum reserves, automatic operations, monetary policy of the European Central Bank and non-standard operations of the European Central Bank).

3. Pillars and principles of banking union functioning.

4. Interbank payment, settlement, and communication systems. Interbank operations and interest measure.

5. Transmission mechanism and its types.

6. Issue activity of banks.

7. Consumer theory - budget constraint, types of preferences, utility function, optimal strategy, revealed preferences, Slutsky equation. Decision making in time.

8. Theory of the firm – production function, profit maximization, cost minimization, aggregated

supply. Equilibrium in perfect and imperfect markets.

9. Types of decision environments, conditional consumption, utility function and probability. Theory of expected utility. Risk and risk aversion, risk distribution and the role of the stock market.

10. Externalities, quasi-linear preferences, and the Coase theorem. Production externalities, social and private costs. Market signals and the tragedy of the commons.

11. Public assets, private securing of trust assets, parasitism, different levels of public goods, quasi-linear preferences, and public goods. Electoral systems and their evaluation.

12. Welfare, aggregation of preferences, social welfare function, welfare maximization and

types of wealth allocation.

13. Solow's model of economic growth.

14. Basic Ramsey's dynamic macroeconomic model.

15. Diamond's model of overlapping generations.

16. Theory of endogenous growth (Romer's model).

17. The theory of the real economic cycle and the basic canonically dynamic stochastic model

general economic equilibrium (DSGE).

18. Modeling of consumption, investment and accumulation of capital and government interventions in dynamic stochastic models of general economic equilibrium (DSGE).

Student is able to demonstrate mastery of the requirements of the two-years master's study in quantitative methods in economics. Student is able to integrate theoretical and practical knowledge and master the principles of construction and economic interpretation of theoretical models.

Hatrák, M. (2007) Ekonometria. IURA Edition, Bratislava.

Hill, R.C., Griffithss, W.E. and Judge, G.G. (2001) Undergraduate Econometrics. Wiley.

Chin, Wai-Ki – Huang, Ximin – Ng, Michael K. – Sin, Tok-Kuen (2013): Markov Chains.

Models, Algorithms, and Applications. Second Edition. New York, Springer.

Sojka, Jozef – Šimkovic, Ján – Hatrák, Michal (1981): Modelovanie národohospodárskych

procesov. Bratislava, Alfa.

Varian, Hal R. (1992): Microeconomic Analysis. New York, W.W. Norton.

Wooldridge, J. M. (2001) Econometric Analysis of Cross Section and Panel Data. Cambridge,

MA: MIT Press

Prerequisites: All compulsory, optional and selection courses according to the study plan.

Course requirements:

The grade is awarded by the state examination committee.

Rating A B C D E FX

points 91-100 81-90 73-80 66-72 60-65 <59

Slovak language and English language

1. Optimization problems and tasks of mathematical programming. General task of mathematical programming. Types of tasks and principles of their solution. The use of non-linear principles optimization in microeconomic analysis.

2. Linear programming tasks and their properties. Duality theory in linear programming.

3. Simplex method and its primary and dual algorithm. Analysis of sensitivity in tasks of linear programming and parametric programming.

4. Optimization problems with integer conditions and methods of their solution.

5. Tasks with a block-diagonal structure. Decomposition algorithm of solutions and economic

interpretations.

6. Nonlinear programming - convexity and Karush - Khun - Tucker conditions of optimality.

7. Linear one-equation econometric model. Estimating the parameters of a linear model using

methods of least squares (OLS). Statistical properties of estimated parameters.

8. Characteristics of random disturbances in the model. Estimating the variance of a random disturbance. Quality measurement settlements.

9. Diagnostic control of the econometric model (autocorrelation, heteroskedasticity, normality,

multicollinearity, structural changes, functional form of the model, etc.).

10. Econometric models with dummy variables (dependent variables, explanatory variable).

11. One-equation linear models of time series (ARMA). Testing for unit roots.

One-equation models of volatility (GARCH).

12. Multi-equation linear models of time series (VAR, VECM). Models of simultaneous equations.

13. Static games with full information in normal form. Solution methods, mixed strategies and

linear optimization.

14. Games in extensive form, games with imperfect and incomplete information, equilibria in games in extensive form, games with repetition.

15. Static games with incomplete information (Bayesian games); Bayesian Nash equilibrium,

equilibrium in combined strategies, Auctions.

16. Evolutionary games, basic concepts, evolutionary model, solving evolutionary games, evolutionarily stable strategies.

17. Quadratic programming task and its algorithmic solution. The task of selecting a portfolio from risky assets and methods of its solution.

18. Algebra of portfolio of risky assets in the space of past and future returns. Risk measures.

19. Capital asset valuation model and portfolio selection tasks with additional risk factor.

20. Replication models – analysis and exposure of the fund's investment style. Models of choosing the best compromise portfolio.

Student is able to demonstrate mastery of the requirements of the two-years master's study in quantitative methods in economics. Student is able to integrate theoretical and practical knowledge and master the principles of construction and economic interpretation of theoretical models.