National Repository of Grey Literature 3 records found  Search took 0.00 seconds. 
Demographic Processes and Their Impact on the Rate of Gross National Savings
Rovný, Martin ; Potužák, Pavel (advisor) ; Chytilová, Helena (referee)
The main task of this thesis is to clarify the impact of demographics on the rate of gross national savings which is considered one of the main elements of economic growth. Demographic trends and theoretical background are presented, which contributes to the understanding of the relationship of savings and the age structure of the population. The assessment of the relationship is done based on cross-sectional analysis of data from period 2009 -2013 for 133 countries, while the effect of demographic forces is studied through dependency rates of unproductive population. In the analysis partial estimates and analogous research with the pre-crisis data are performed. The results suggest that demographic forces leading to the growth of dependency rates negatively influence the savings rate. However, the important role is played by the level of development of individual countries or regional specifics since the effect of demographics between developed and developing countries is considerably different.
Modelling natural catastrophes in insurance
Varvařovský, Václav ; Zimmermann, Pavel (advisor) ; Justová, Iva (referee)
Quantification of risks is one of the pillars of the contemporary insurance industry. Natural catastrophes and their modelling represents one of the most important areas of non-life insurance in the Czech Republic. One of the key inputs of catastrophe models is a spatial dependence structure in the portfolio of an insurance company. Copulas represents a more general view on dependence structures and broaden the classical approach, which is implicitly using the dependence structure of a multivariate normal distribution. The goal of this work, with respect to absence of comprehensive monographs in the Czech Republic, is to provide a theoretical basis for use of copulas. It focuses on general properties of copulas and specifics of two most commonly used families of copulas -- Archimedean and elliptical. The other goal is to quantify difference between the given copula and the classical approach, which uses dependency structure of a multivariate normal distribution, in modelled flood losses in the Czech Republic. Results are largely dependent on scale of losses in individual areas. If the areas have approximately a "tower" structure (i.e., one area significantly outweighs others), the effect of a change in the dependency structure compared to the classical approach is between 5-10% (up and down depending on a copula) at 99.5 percentile of original losses (a return period of once in 200 years). In case that all areas are approximately similarly distributed the difference, owing to the dependency structure, can be up to 30%, which means rather an important difference when buying the most common form of reinsurance -- an excess of loss treaty. The classical approach has an indisputable advantage in its simplicity with which data can be generated. In spite of having a simple form, it is not so simple to generate Archimedean copulas for a growing number of dimensions. For a higher number of dimensions the complexity of data generation greatly increases. For above mentioned reasons it is worth considering whether conditions of 2 similarly distributed variables and not too high dimensionality are fulfilled, before general forms of dependence are applied.
Description and Presentation of Data by means of a Computer
Toms, Martin ; Komárková, Lenka (advisor) ; Pokorný, Pavel (referee)
This bachelor thesis gradually reveals and explains the application of individual parts of the descriptive statistics. After explaining the basic terminology we will get to one-dimensional characteristics including the measure of central tendency, measure of variability or measure of concentration. These measures are followed by two-dimensional characteristics represented by measure of dependency. Each of these parts shows possible methods of calculations applied straight to convenient data. Furthermore everything is certainly accompanied by different ways of graphical depiction of the concrete problems with the help of the proper software (R, Excel + alterations in Photoshop).

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