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Oceňování zajištění škodního nadměrku v neživotním pojištění
Hrevuš, Jan ; Marek, Luboš (advisor) ; Cipra, Tomáš (referee) ; Zimmermann, Pavel (referee)
Probably the most frequently used definition of reinsurance is insurance for insurance companies, by reinsurance the cedant (insurance company) cedes part of the risk to the reinsurer. Reinsurance plays nowadays a crucial role in insurance industry as it does not only reduce the reinsured's exposure, but it can also significantly reduce the required solvency capital. In past few decades various approaches to reinsurance actuarial modelling were published and many actuaries are nowadays just reinsurance specialized. The thesis provides an overview of the actuarial aspects of modelling a non-life per risk and for motor third party liability per event excess of loss reinsurance structure, according to the author's knowledge no study of such wide scope exists and various aspects have to be found in various fragmented articles published worldwide. The thesis is based on recent industry literature describing latest trends and methodologies used, the theory is compared with the praxis as the author has working experience from underwriting at CEE reinsurer and actuarial reinsurance modelling at global reinsurance broker. The sequence of topics which are dealt corresponds to sequence of the steps taken by actuary modelling reinsurance and each step is discussed in detail. Starting with data preparation and besides loss inflation, more individual claims development methods are introduced and own probabilistic model is constructed. Further, burning cost analysis and probabilistic rating focused on heavy tailed distributions are discussed. A special attention is given to exposure rating which is not commonly known discipline among actuaries outside of reinsurance industry and different methodologies for property and casualty exposure modelling are introduced including many best practice suggestions. All main approaches to the reinsurance modelling are also illustrated on either real or realistically looking data, similar to those provided by European insurance companies to their reinsurers during renewal periods.
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Casualty reinsurance exposure rating
Těšínská, Anna ; Zimmermann, Pavel (advisor) ; Hrevuš, Jan (referee)
The main aim of this thesis is a development of ILF curves that can be used in the insurance industry when pricing general third party liability on the Czech market. Based on available data there are first estimated size of loss distribution functions used for following generating process. From generated data the increased limit factors are estimated and with a usage of Riebesell's parameterization ILF curves are derived. A substantial part of the thesis is a compilation of literature and the expansion of the statistical approach for estimating fair ILFs based on these data. Besides, the basis for the curves derivation are chapters describing basic theoretical knowledge in the field of reinsurance - in particular, the description of the basic types of reinsurance contracts, as well as the most common methods of a pricing. There is the whole mechanism of curves derivation described; their own use is then demonstrated with the example based on pseudoreal data.
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Modeling development of incurred value of claim
Kantorová, Petra ; Zimmermann, Pavel (advisor) ; Hrevuš, Jan (referee)
This diploma project is focused on the estimation of incurred value of claim and probability of the claim remaining opened (not settled) in the specific stage of the insurance settlement process. The change of incurred value of claim means the change of settlement process stage. Generalized linear model is used for modelling these changes. Classical linear regression model also belongs into this theory, which is its special case, just with stricter premises. Generalized linear model among others allows solving the problem of heteroscedasticity in the unusual way using joint model. This model is applied in the practical part of this piece of work. Logistic regression is the part of the generalized linear model theory, which helps to model the probability of the claim remaining opened in this piece of work. The model outcome is presented in graphic way, especially the graphs containing probability that levels of given claim will occur in certain range.
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Prospektivní úmrtnostní tabulky a penzijní fondy
Hrevuš, Jan ; Marek, Luboš (advisor) ; Kraus, Alfred (referee)
Diplomová práce se zabývá současnou situací na trhu penzijního připojištění v České republice, primárně si však klade za cíl zmapovat současný stav využívání úmrtnostních tabulek našimi penzijními fondy. Jsou zde uvedeny různé možnosti výpočtu úmrtnostních tabulek ve snaze vybrat tu nejvhodnější a též pokus zavést aspekt stále rostoucí délky života do aktuárských výpočtů. Výpočty jsou založeny na oficiálních datech ČSÚ, podle nichž autor s využitím odborné literatury a vhodného softwarového vybavení konstruuje vlastní úmrtnostní tabulky.
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