This thesis aims to familiarize the reader with the topic of life insurance, especially insurance taken out for more people. Its focus is empirical rather as combining the use of several actuarial and statistical methods through three statistical software and applications created in MS Excel using VBA. First, thesis is focused to multiple life insurance with intention to show reader the diversity of this interesting but rarely offered product in business world, especially through the application created for the purpose of this work. Sense of mentioned application lies in the fact it is able to calculate amount of the net premium for a user-selected type of insurance. Based on this outcome insurer can determine the net price corresponding to the chosen risk coverage (regardless of the amount of the costs associated with this type of insurance and required profitability). Age of insured person isn't usually part of calculation of premium for accident insurance. One of the aims of this study is to assess whether this parameter actually has or doesn't have any effect on the price of insurance. With help of SPSS and RStudio software relationship between age of insured person and amount of indemnification from daily compensation insurance has been researched. Based on the test of variable independence were detected dependencies of these variables where all of which used measure of association suggests a weak dependence amount of indemnification on the age of the insured. It surely worth insurer should consider different insurance rates for various ages of insured person. Following by examination whether the rate used to calculate premiums in case of hospitalization extra insurance corresponds to the actual risk coverage. It has been calculated the rate could be lower than currently used due to the loss experience of insurance for the past 9 years and the assumption of certain expenses and desired profit. It would be cheaper for insurance group contracts than it is today, when the insurer has done so. It could also attract new clientele. The last stated goal in this thesis is to create prognosis of the amount of indemnity paid for injuries covered by additional daily compensation insurance. Using the software EViews is analyzed this trend in the past 32 months first. Based on its outcome there is a future level forecast created for the next four years. These resulting values indicate the insurance indemnity for group contract will grow. Therefore, based on this analysis insurer should to conclude in the contract it would be appropriate to increase the premium of the insurance coverage. With these practical tasks the reader can get idea not only of problems solved in the scope of multiple life insurance and group insurance but also to become familiar with some statistical software used for analyzes carried out not only in the insurance industry. The conclusions of this thesis can also be beneficial for insurer who may adjust premium prices of analyzed insurances.

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.

1.Summary - review in English The above-mentioned work comprises of two basic issues that are connected together, namely commentary on Insurance Policy Act as general introduction into the field of insurance policies and consequent and special issue of legal expenses insurance interpretation. The basic meaning of it was to introduce not only the provisons concerning insurance policies, but also to show one of the insurance policies type in details, what could be hardly possible or satisfactory without preceding description of the Insurance Policy Act. Thus, complete summary of this work will be divided into two parts; first would be the part concerning Insurance Policy Act and second would be the part concerning legal expenses insurance. 1.1.Insurance Policy Act - Summary The first part of this work concerned, as mentioned above, the Insurance Policy Act, whereas my primary aim was to interpret provisions of this act that were worth it and point out namely on imperfections of the existing legislature. It wasn't and wouldn't be of any significant value just to copy and paste individual provisions of the act, therefore, this work aimed primarily on introduction of new ideas and as a basis for that served a confrontation with the actual wording and its interpretation, whereas plain consent with what was...