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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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Computational tools for IBNR reserves calculation
Gregor, Štěpán ; Krafferová, Helga (advisor) ; Mazurová, Lucie (referee)
Title: Computational tools for IBNR reserves calculation Author: Bc. Štěpán Gregor Department: Department of Probability and Mathematical Statistics Supervisor: Mgr. Helga Krafferová, UNIQA pojišťovna, a.s. Supervisor' s e-mail address: Helga.Krafferova@uniqa.cz Abstract: Technical provisions represent the liability of the insurance company to its clients. In this work we focus on the computational tools of incurred but not reported claims. The most popular calculation method is probably the chain-ladder method which will be in detail analyzed in this thesis. Finally, by applying the theory in this work we will demonstrate the calculation in the own developed software. Keywords: Insurance, IBNR reserve, chain-ladder
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Solvency II: solvency in insurance
Čáha, Pavel ; Cipra, Tomáš (advisor) ; Mazurová, Lucie (referee)
This thesis is dedicated to Solvency II, a regulatory framework for insurance and reinsurance companies effective in European Union. Firstly, it explains the notion solvency and also describes the principles of the regulation itself. Another part is focused on the calculation of solvency capital requirement and minimal capital requirement, using standard formula. The capital requirements are derived on the level of risk modules and their submodules. Furthermore, the topic of technical reserves is discussed and emphasis is placed on the derivation of mean square error of prediction. Described methods are Chain-Ladder and Bornhuetter-Ferguson. The last part of the thesis includes the calculation of capital requirements for real data. A program SolvencyII.xlsx that shows particular derivations is enclosed.
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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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Computational tools for IBNR reserves calculation
Gregor, Štěpán ; Krafferová, Helga (advisor) ; Mazurová, Lucie (referee)
Title: Computational tools for IBNR reserves calculation Author: Bc. Štěpán Gregor Department: Department of Probability and Mathematical Statistics Supervisor: Mgr. Helga Krafferová, UNIQA pojišťovna, a.s. Supervisor' s e-mail address: Helga.Krafferova@uniqa.cz Abstract: Technical provisions represent the liability of the insurance company to its clients. In this work we focus on the computational tools of incurred but not reported claims. The most popular calculation method is probably the chain-ladder method which will be in detail analyzed in this thesis. Finally, by applying the theory in this work we will demonstrate the calculation in the own developed software. Keywords: Insurance, IBNR reserve, chain-ladder
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Covariance extension of Chain-ladder method
Žváčková, Lenka ; Marek, Luboš (advisor) ; Hasil, Jakub (referee)
This diploma thesis deals with technical reserves in non-life insurance, in particular with provisions for future claim payments for damages that have occurred, but has not yet been reported to the insurance company. This type of provision is known by the acronym IBNR. After the introductory section containing a general introduction to the issue of claims reserving in non-life insurance different approaches to modeling of IBNR reserves are briefly presented. Subsequently, full attention is given to Chain-ladder method, which is most frequently used in the actuarial practise for the purpose of claims reserving. This method is then presented progressively from its simplest form of a simple computing algorithm followed by Mack's stochastic model to the last theoretical part of this part describing extended form of Chain-ladder method with relations between different groups of insurance portfolio included. In the very last section, all the lessons are demonstrated on real data to give readers an idea of how the process of claims reserving works is in the common actuarial practice.
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