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Identification and accounting the changes in calculation of the IBNR reserves.
Brdíčková, Jana ; Trchová, Radka (advisor) ; Mazurová, Lucie (referee)
This text describes wide variety of models for IBNR reserve estimation, among them we can find chain ladder, Munich chain ladder, Cape Cod or regression methods. Especially, it aims at identification of model assumptions, its verification, impacts of their non-fulfillment and resulting model modification. Moreover, this work deals with anomalies and specificity of historical data and tries to suggest solutions for this problems. The last part of the thesis is dedicated to real analysis of motor third party liability.
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Claims reserve calculation for data separating true IBNR and IBNER
Šťástka, Petr ; Mazurová, Lucie (advisor) ; Justová, Iva (referee)
The thesis deals with calculating technical reserves of non-life insurance undertakings, especially calculating the claims reserve, which is the most important non-life insurance reserve. It describes the reserve for claims in detail focusing consequently on the different calculation methods. The thesis focuses particularly on the description of the model proposed by the Swiss mathematician René Schnieper. This is a special model aimed at estimating the ultimate claims based on the decomposition of the incurred data into new claims amounts and changes in incurred amounts for the existing claims reported in the earlier years of the development. The final chapter numerically illustrates and compares the methods mentioned in this thesis.
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Prediction error in non-life claims reserves
Divišová, Kateřina ; Justová, Iva (advisor) ; Mandl, Petr (referee)
This thesis deals with a description of three claims reserving methods - with stochastic models for Chain ladder, Bornhuetter/Ferguson and multiplicative method. There are mentioned their assumptions, parameter estimates, their properties and formulas for loss reserves in the first part. The second part of the text is devoted to formulas for the mean squared error of prediction and its estimate. Finally, a numerical example shows comparison of these methods.
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Variability estimation of development triangles in nonlife insurance
Havlíková, Tereza ; Branda, Martin (advisor) ; Mazurová, Lucie (referee)
The aim of this thesis is to describe calculation methods for variability esti- mation of claims reserve in non-life insurance. The thesis focuses on three main categories of models: Mack's stochastic Chain-Ladder, generalized linear models and bootstrap. Both the theoretical and also the empirical parts are included. Empirical part is devoted to application of all the models described above on both real and simulated data. 1
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Claims reserve calculation for data separating true IBNR and IBNER
Šťástka, Petr ; Mazurová, Lucie (advisor) ; Justová, Iva (referee)
The thesis deals with calculating technical reserves of non-life insurance undertakings, especially calculating the claims reserve, which is the most important non-life insurance reserve. It describes the reserve for claims in detail focusing consequently on the different calculation methods. The thesis focuses particularly on the description of the model proposed by the Swiss mathematician René Schnieper. This is a special model aimed at estimating the ultimate claims based on the decomposition of the incurred data into new claims amounts and changes in incurred amounts for the existing claims reported in the earlier years of the development. The final chapter numerically illustrates and compares the methods mentioned in this thesis.
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Prediction error in non-life claims reserves
Divišová, Kateřina ; Justová, Iva (advisor) ; Mandl, Petr (referee)
This thesis deals with a description of three claims reserving methods - with stochastic models for Chain ladder, Bornhuetter/Ferguson and multiplicative method. There are mentioned their assumptions, parameter estimates, their properties and formulas for loss reserves in the first part. The second part of the text is devoted to formulas for the mean squared error of prediction and its estimate. Finally, a numerical example shows comparison of these methods.
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Identification and accounting the changes in calculation of the IBNR reserves.
Brdíčková, Jana ; Trchová, Radka (advisor) ; Mazurová, Lucie (referee)
This text describes wide variety of models for IBNR reserve estimation, among them we can find chain ladder, Munich chain ladder, Cape Cod or regression methods. Especially, it aims at identification of model assumptions, its verification, impacts of their non-fulfillment and resulting model modification. Moreover, this work deals with anomalies and specificity of historical data and tries to suggest solutions for this problems. The last part of the thesis is dedicated to real analysis of motor third party liability.
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Profit and loss in the insurance sector in the Czech Republic
Mácová, Petra ; Bokšová, Jiřina (advisor) ; Randáková, Monika (referee)
The graduation thesis aims to specify and define, with respect to the Czech legislation, the profit and loss statement of the insurance companies and those items of revenues and expenses that are specific for the insurance companies. The thesis deals with the principal characteristics of the revenues and the expenses of the insurance companies as well as with the matter whether insurance companies can in any means influence their management result. It also focuses on the field of the insurance security -- what is the insurance security in the Czech Republic in relation to the European Union, and on the quantity limits of the profit and loss statement, in the Czech insurance sector. It also assesses the efficiency of the local insurance companies in relation to this, what is the share of the earned premium when taking in account the insurance claims, the operating costs and the management result. The graduation thesis came to the conclusion that an insurance company can quite easily influence its accounting management result and therefore it is necessary for the company to respect the relevant accounting measures. Furthermore, the Czech Republic in comparison to the other EU countries indicates relatively low level of insurance security. With respect to the efficiency it is possible to conclude (in relation to the year 2012 and the local insurance companies) that the earned premium comprises of more that 60% of the claimed damages, 30% of the operating costs and 10% of the earned premium represents the net profit.
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Technical reserves in non-life insurance
Vild, Jiří ; Bílková, Diana (advisor) ; Žváčková, Lenka (referee)
One of the main and crucial activities of an insurance company is to determine amount of technical reserves to be generated. If the insurance company performs in the non-life insurance branch, it focuses first of all on loss reserve which is generated to settle debts coming from insurance claims. To set the proper amount of this reserve, especially of the reserve on incurred but not reported losses (IBNR), mathematical and statistical methods are used. This thesis introduces one of the most used methods which is the chain ladder method. It presents the first chain ladder deterministic model then moves to its stochastic extension in a form of Mack's model and finally gets to the Munich chain ladder model, which takes into calculations not only data on losses paid but also losses incurred. In the theoretical part both these models (standard Mack's chain ladder and Munich chain ladder) are presented both separately and in a common context so that later in the analytical section they could be demonstrated on real data.
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