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Securities portfolio optimization
Pinkava, Ondřej ; Bartošek, Vladimír (referee) ; Sojka, Zdeněk (advisor)
This dissertation deals with the securities portfolio optimization. After introducing the definitions, I try to explain the particular investment instruments with regard to returns and risks. The following part provides a theory which tells more about different market risks and returns on the final securities portfolio. Concerning these models the effective portfolio has been set up.
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Investment problems with stochastic dominance constraints
Dorová, Bianka ; Kopa, Miloš (advisor) ; Kozmík, Václav (referee)
This thesis focuses on stochastic dominance in portfolio selection problems. The thesis recalls basic knowledge from the area of portfolio optimization with utility functions and first, second, $N$-th and infinite order of stochastic dominance. It sumarizes Post's, Kuosmanen's and Kopa's criteria for portfolio efficiency and necessary and sufficient conditions of stochastic dominance for discrete and continuous probability distributions. The thesis also contains formulations of optimization problems with second order stochastic dominance constraints derived for discrete and continuous probability distributions. A practical application is also a part of the thesis, where the optimization problems for monthly returns of Czech stocks are solved using optimization software GAMS.
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Investment problems with stochastic dominance constraints
Dorová, Bianka ; Kopa, Miloš (advisor) ; Kozmík, Václav (referee)
This thesis focuses on stochastic dominance in portfolio selection problems. The thesis recalls basic knowledge from the area of portfolio optimization with utility functions and first, second, $N$-th and infinite order of stochastic dominance. It sumarizes Post's, Kuosmanen's and Kopa's criteria for portfolio efficiency and necessary and sufficient conditions of stochastic dominance for discrete and continuous probability distributions. The thesis also contains formulations of optimization problems with second order stochastic dominance constraints derived for discrete and continuous probability distributions. A practical application is also a part of the thesis, where the optimization problems for monthly returns of Czech stocks are solved using optimization software GAMS.
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|
|
Securities portfolio optimization
Pinkava, Ondřej ; Bartošek, Vladimír (referee) ; Sojka, Zdeněk (advisor)
This dissertation deals with the securities portfolio optimization. After introducing the definitions, I try to explain the particular investment instruments with regard to returns and risks. The following part provides a theory which tells more about different market risks and returns on the final securities portfolio. Concerning these models the effective portfolio has been set up.
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