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Forecasting age distribution of death counts with applications in life insurance pricing
Škopek, Pavel
;
Branda, Martin
(advisor) ;
Mazurová, Lucie
(referee)
This thesis deals with the topic of mortality modelling and life insurance pricing. First, basic concepts from the demographic model and life tables are introduced. Following is a description of the Lee-Carter model including three methods for estimating of parameters and predicting of future values. The the- sis also analyses the Renshaw-Haberman model and the method, which uses compositional data analysis including the non-parametric bootstrap for interval estimations. Besides the theoretical part the thesis also contains a practical one, where Czech mortality data are modeled separately for men and women. Based on the data from 1970-2021 we select the best model, predict future values for 30 years ahead and price the life insurance in 2021 and in the following years. 1
Detailed record
Risk aversion in spectral risk measures
Škopek, Pavel
;
Branda, Martin
(advisor) ;
Kopa, Miloš
(referee)
This thesis deals with spectral risk measures which are useful for measuring risk aversion. First, we define basic definitions and properties of risk measures, risk spectrum and SRM (spectral risk measure) both continuous and discrete profit/loss distribution. Next, we establish a notion of SRM-decision maker and some known SRM. Also there is shortly described the expected utility theorem. In the next part we define a notion AP-risk aversion and R-risk aversion and we explain how we can compare these risk aversions by the antiderivative of the risk spectrum and how to compare AP-risk aversion by spectral AP-measure. Next, we investigate the consistency of AP-risk aversion and R-risk aversion in known SRM and in general case. The last part is devoted to numerical example in which thanks to using SRM we find the best portfolio for investment in five stocks. 1
Detailed record
Assessment of quality selected bakery products for specific nutrition
ŠKOPEK, Pavel
The subject of this diploma thesis is "Assessment of quality selected bakery products for specific nutrition". Theoretical part explains the legislation for bakery products, characterizes the raw materials at tjhe input and the technological process in the production of bakery and the assessment methodes of bakery products. Practical part is focused at sensory analysis of fine pastery products called "vánočka" suitable for diabetics and obtained data are evaluated using appropriate statistical and graphical methodes.
Detailed record
See also: similar author names
1
ŠKOPEK, Patrik
6
ŠKOPEK, Petr
4
Škopek, Pavel
6
Škopek, Petr
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