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Trade House
Čierny, Juraj ; Pilgr, Milan (referee) ; Barnat, Jan (advisor)
The aim of this diploma thesis is a design of the multy-storey steel structure with a wooden dome structure of the shopping centre in city of Banská Bystrica, Slovakia. Minimum build-up area is 2 000m2. Minimum number of storeys is set at 2. Steel structure is composed as a frame construction with composite steel-concrete ceilings. Building has 2 storeys at all. Wooden structure of dome is composed by glue laminated curved beams. The structural design and analysis is performed by software SCIA Engineer 15.
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Zpětná alokace diversifikačního efektu v pojistném riziku
Kyseľová, Soňa ; Středová, Marcela (advisor) ; Mazurová, Lucie (referee)
The determination of the sufficient amount of economic capital and its allocation to the business lines is the key issue for insurance companies. In this thesis we introduce two methods of aggregating economic capital. One is based on linear correlation and the second deals with copulas. A multitude of allocation principles have been proposed in the literature. We choose those which are the most used in practice and compare advantages and disadvantages of their application. The last chapter is devoted to the numerical examples of capital aggregation and allocation principles. 1
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Advanced Techniques of Risk Aggregation
Dufek, Jaroslav ; Justová, Iva (advisor) ; Pešta, Michal (referee)
In last few years Value-at-Risk (Var) is a very popular and frequently used risk measure. Risk measure VaR is used in most of the financial institutions. VaR is popular thanks to its simple interpretation and simple valuation. Valuation of VaR is a problem if we assume a few dependent risks. So VaR is estimated in a practice. In presented thesis we study theory of stochastic bounding. Using this theory we obtain bounds for VaR of sum a few dependent risks. In next part of presented thesis we show how we can generalize obtained bounds by theory of copulae. Then we show numerical algorithm, which we can use to evaluate bounds, when exact analytical evaluate isn't possible. In a final part of presented thesis we show our results on practical examples.
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Aggregate loss models with dependent frequency and severity
Čápová, Petra ; Mazurová, Lucie (advisor) ; Zichová, Jitka (referee)
In non-life insurance, the independence between the number and size of claims is usually assumed. However, this thesis shows that the assumption of independence can be omitted. We deal with the dependency modeling between frequency and severity of claims. For including the dependence to the total claims model, we consider two methods. The first method uses generalized linear models and the second method used in the thesis is based on dependence modeling by copulas. We also perform a model with independent frequency and severity of claims. This model is compared with the described methods in the simulation part of the thesis. We include dependency on explanatory (rating) variables in all of these models. 1
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LDA approach to operational risk modelling
Kaplanová, Martina ; Mazurová, Lucie (advisor) ; Zichová, Jitka (referee)
In this thesis we will deal with the term of operational risk, as it is presented in the directives Basel 2 that are mandatory for financial institutions in the European Union. The main problem is operational risk modeling, therefore, how to measure and manage it. In the first part we will look at the possibility of calculating the capital requirements for operational risk under Basel 2, mainly the calculation with the internal model. We will describe the specific procedures for the development of the internal model and we will focus on Loss Distribution Approach. The internal model will be based on modeling of loss in each risk cell separately. In the second part we will show, how to include modeling of dependence structure between risk cells to the internal model with using copulas. Finally, we will show the illustrative example, where we will see, whether the modeling of dependence leads to a reduction of the total capital requirement. Powered by TCPDF (www.tcpdf.org)
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Claims reserving with copulae for multiple lines of business
Valentovičová, Katarína ; Pešta, Michal (advisor) ; Mazurová, Lucie (referee)
Claims reserving and claims process estimation present classical problems in general insurance. The overall reserves are often determined under the assumption of independence among the lines of business. Though, recently modelling of the dependence among multiple lines of business has become crucial issue of reserving process. In this context, copulae provide a useful tool to construct models which go beyond the classical ones in terms of dependence structure. This thesis deals, in particular, with the copula regression model, its properties and possible applications in general insurance. This approach combines GLM modelling of margins and then expressing the dependence structure using copula. The theoretical methods are illustrated on a real dataset.
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Zpětná alokace diversifikačního efektu v pojistném riziku
Kyseľová, Soňa ; Středová, Marcela (advisor) ; Mazurová, Lucie (referee)
The determination of the sufficient amount of economic capital and its allocation to the business lines is the key issue for insurance companies. In this thesis we introduce two methods of aggregating economic capital. One is based on linear correlation and the second deals with copulas. A multitude of allocation principles have been proposed in the literature. We choose those which are the most used in practice and compare advantages and disadvantages of their application. The last chapter is devoted to the numerical examples of capital aggregation and allocation principles. 1
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Advanced Techniques of Risk Aggregation
Dufek, Jaroslav ; Justová, Iva (advisor) ; Pešta, Michal (referee)
In last few years Value-at-Risk (Var) is a very popular and frequently used risk measure. Risk measure VaR is used in most of the financial institutions. VaR is popular thanks to its simple interpretation and simple valuation. Valuation of VaR is a problem if we assume a few dependent risks. So VaR is estimated in a practice. In presented thesis we study theory of stochastic bounding. Using this theory we obtain bounds for VaR of sum a few dependent risks. In next part of presented thesis we show how we can generalize obtained bounds by theory of copulae. Then we show numerical algorithm, which we can use to evaluate bounds, when exact analytical evaluate isn't possible. In a final part of presented thesis we show our results on practical examples.
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Trade House
Čierny, Juraj ; Pilgr, Milan (referee) ; Barnat, Jan (advisor)
The aim of this diploma thesis is a design of the multy-storey steel structure with a wooden dome structure of the shopping centre in city of Banská Bystrica, Slovakia. Minimum build-up area is 2 000m2. Minimum number of storeys is set at 2. Steel structure is composed as a frame construction with composite steel-concrete ceilings. Building has 2 storeys at all. Wooden structure of dome is composed by glue laminated curved beams. The structural design and analysis is performed by software SCIA Engineer 15.
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