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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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Some quantitative aspects of life annuities
Šťástka, Petr ; Cipra, Tomáš (advisor) ; Mazurová, Lucie (referee)
The aim of this diploma thesis is describe the most common methods of financing pension plans, focusing on some of the methods of fund financing pension plans. To describe the individual methods, their numerical illustration and allow comparison, it is necessary to dispose of necessary instruments. Therefore in the thesis there are constructed the cohort life tables for the Czech Republic. The thesis also deals with the modelling life annuities in continuous time, in particular, with the shape of im- mediate pension anuity factor for Gompertz law of mortality. Namely, this factor is one of the parameters entering the calculation of the individual methods of fund fi- nancing for pension plans.
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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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