The primary object of the thesis is focused on explanation of process of underwritting in insurance business. Considerable attention is devoted differences between underwritting in life and non-life insurance. Emphasis is put on differentiation of standardized and individualized type of insurance. The diploma paper is also dealt with specific process of risk management in insurance company.

This thesis deals with changes in the Czech insurance market, especially in view of the consequences of the financial crisis, which caused a lot of changes. In this part of thesis is analyzed the price war, anti-discrimination directives and other important events. The following section is devoted to rating and both generally - term rating, description, rating process and rating of selected insurance companies. Specifically Česká pojišťovna a.s. and ČSOB pojišťovna a.s. and its changes over time. Then attention is focused on the development of regulation of rating agencies and the end of the work is devoted to future prognosis of the life and non-life insurance.

The thesis deals with a proposal of an insurance portfolio for a chosen business subject - a company of Alfa Styl Ltd. The thesis analyzes possible risks and proposes an insurance portfolio which is based on products of various insurance companies. As the result, this portfolio would cover most of the risks so that any insurance event would only have a minimal, if any, effect on the run of the company.

The diploma thesis summarizes the history of the insurance industry in the world with a detailed focus on the Czech Republic. The thesis continues to discuss the situation on insurance markets in the last twenty years. It is described how insurance companies deal with natural disasters and a new type of risk - terorism. The thesis proceeds with actual trends in the insurance industry and supervision in insurance.

This thesis covers, in detail, theoretical background of micro-level stochastic model, which includes definition and properties of non-homogeneous Poisson process. This the- ory is then applied to real data generated by MTPL portfolio. Estimates of provisions under micro-level stochastic model are calculated using ordinary Monte Carlo simula- tion method. Results obtained from micro-level stochastic model are compared to Mack Chain-ladder estimates. 1

This diploma thesis deals with insurance protection of permanent health consequences caused by illness or in case of injury. The aim of this work was to make an analysis of the offer of accidental injury insurance in the insurance market from the potential insurance applicants? point of view and also to identify the right combination of this kind of insurance with disability pension. In this work, four best insurance products offered in the Czech market are in detail described ? Pesrpektiva 7BN insurance by Kooperativa, Flexi insurance by Česká spořitelna, Benefit and Genio insurance by Generali Pojišťovna. A simulation applied to each of the products was made and analyzed. If a client follows the simulated model, he or she should be well insured. Using the methods of multi-criteria classification (method of rank, method of points, method WSA and method TOPSIS), the best product for potential applicants has been identified. The best option seems to be the insurance product Perspektiva 7BN offered by insurance company Kooperativa.

The diploma thesis is focused on the motor damage and the motor third party liability insurance profitability evaluation of the czech insurance market. In the first part both the czech market devolopment and the current law-making issues with the evaluation of the czech market key indicators are briefly described. Next part of the thesis is focused on the non life insurance market quantitative characteristic in the period from 2003 to 2015. Next part of the thesis deals with the motor damage and the motor third party liability insurance characteristics. In the last two chapters the thesis examines the motor damage and the motor third party liability market with the following evaluation of their profitability by using the combined ratio indicator.

This diploma thesis deals with the mathematical models in general insurance. The aim of this thesis is to analyse selected mathematical models that are widely used in general insurance for the estimation of insurance portfolio statistics, pricing and the regulatory capital requirement calculation. Claim frequency models, claim severity models, aggregate loss models and generalized linear models are analysed. This thesis consists of a theoretical and a practical part. The theoretical part contains description of selected models. Described models are then applied to a real dataset in the practical part. The real dataset modelling was performed using the statistical software R. It has been proved that maximum likelihood parameter estimations are of better quality than the method of moments or quantile method estimations. The results of aggregate loss distribution computational methods are comparable. This comparability is mostly caused by a large number of observations. In the context of tariff analysis it was found that the most significant factors are driver's age and the driver's area of residence.

The diploma thesis deals with innovations selected insurance products and their alternatives. The theoretical part describes the insurance market and development of insurance in the Czech Republic, defines important terms as a coincidence, insured event, insurance products, risk and legal norms in the insurance. In the practical part is an analysis of the selected insurance company and its competitors. On the basis of obtained information are selected insurance products compared. In the proposal part are recommended changes for existing insurance products of the selected insurance company in terms of their content and coverage of risk in the unexpected event. The partial aim is the proposal an alternative insurance product for selected insurance company, which could arise in the future in its range of insurance products.

The diploma work deals with the suggestion of alternation of insurance portfolio for determinated business subject. The thesis embraces the analyses of risks and the suggestion for appropriate insurance portfolio. The most serious risks will be minimalized through commercial insurance companies due to these suggestions so that their results couldn´t threaten to progress of particular company.