|
|
The Simulation Model of the Development of Pension Insurance
Zárubová, Radka ; Dlouhý, Martin (advisor) ; Kuncová, Martina (referee)
First, this thesis introduces the system of pension insurance with state contribution including its proposed amendment made in 2009. Its aim is to forecast and to analyse expected development in pension insurance with state contribution. The main part of the thesis is focused on the simulation model of this insurance product. Within this model, annual interest on contributions is randomly generated and the amount of money a client of a hypothetical pension fund would receive is calculated. To facilitate this simulation, I programmed and attached (as a part of the thesis) an application in VBA language which enables to run this simulation in the preset number of replications. The thesis gives four examples of simulation experiments -- a simulation of pension insurance, and a simulation of pension saving, both versions both with and without contributions made by client's employer. The comparison of the expected efficiency of the both systems from the point of view of the government and a client is drawn at the end of the thesis.
|
|
|
Application of Monte Carlo method on DEA models with interval characteristics
Ficl, Vít ; Jablonský, Josef (advisor) ; Charvát, Karel (referee)
To determine the efficiency of homogeneous decision-making units, DEA models were developed. By these models, the efficiency is assessed based on the given data obtained from past observations. To determine the efficiency in the forthcoming period, it is necessary to work with stochastic data. In this case, it is appropriate to specify optimistic and pessimistic estimates for data to build an interval in which the data could occur. Models with imprecise characteristics could either be solved in optimization way by IDEA models, or by Monte Carlo simulation. Within the simulation, the median and also the probability of reaching the efficient frontier may be determined. For the purpose of applying the Monte Carlo method for DEA models with interval data, a special computer application was created, which was also used to solve a sample example.
|
|
|
Computer Physics I. - proposal of example collection
FIKTUSOVÁ, Jana
The Bachelor{\char162}s Thesis is structured as a collection of examples for a certain topic discussed in the subject Computer Physics 1. The Thesis focuses is particular on Monte Carlo method, deterministic techniques applied to computer modeling and solving of the selected types of differential equations. Each chapter is introduced by a summary of the fundamental theoretical knowledge necessary for the successful solution. The summary is followed by examples to exercise the subject.
|
|
|
Methods computer simulation
SUCHAN, Petr
This text includes analyses of fundamental techniques that are often used for creating mathematic models in the computer physics. The text is divided into four basic chapters. The first chapter brings the definition of computer models and of computer simulation. The following chapter deals with particle, linking and hybrid techniques of the computer modeling. In the end the text describes the most used methods of the computer simulation, i.e. the method of molecular dynamics and the Monte Carlo method.
|
|
|
Chaotic time-series prediction
Dědič, Martin ; Tichý, Vladimír (advisor) ; Smrčka, Pavel (referee)
This thesis focuses on possibility of chaotic (specially economic) time-series prediction. Chaotic time-series are unpredictable in long-term due to their high sensitivity on initial conditions. Nevertheless, their behavior should be more or less predictable in short-term. Goal of this thesis is to show, how much and if any prediction, is possible by non-linear prediction method, and try to reveal or to reject presence of chaotic behavior in them. Work is split into three chapters. Chapter One briefly introduces chosen important concepts and methods from this area. In addition, to describe some prediction methods, there are outlined which indicators and methods are possible to use in order to find possibilities and boundaries of this prediction. Chapter Two is focused on modifications of FracLab software, which is used for create this prediction. Last chapter is experimental. Besides the description of examined time-series and methods, it includes discussion of results.
|
|
|
Economic evaluation and risk analysis building technology
Krzyžanek, Michal ; Fotr, Jiří (advisor) ; Beranovský, Jiří (referee)
Thesis is intent on economic analysis and risk analysis building technology, used at reducing energy costingness. Basic goal of this thesis is evaluating selection energy - saving building technology for concrete investment project at authority two principles. First principle is complying with time influence namely how in view of financial resources, so in view of price energy. Second principle is consequential complying with risk and uncertainties particular factors. In case of these thesis it means simulation crucial factors as a stochastic model. To these purposes will be used method Monte Carlo. Theoretical part of thesis be engaged in characterization economics analyses and risk analyses investment project. Information betray into theoretic parts will applied on concrete investment project, reconstruction residential building using energy - saving technology that contribute by to decrease energy costingness of all building. Fundamental of the investment project is reducing costs on heat a hot water. Goal of practical parts this thesis is give to data for decision making house owners about reconstruction house, regarding particular building technologies.
|
|
|
Solving optimization problems using Monte Carlo method
Švehla, Pavel ; Jablonský, Josef (advisor) ; Dlouhý, Martin (referee)
The goal of the text is to communicate basic principles of Monte Carlo method and its application in solving linear programming problems with uncertain parameters. Monte Carlo method is widely used in various areas of science. However, the document focuses mainly on usage in economic applications. Nature of the second part is purely practical. It clearly describes finding solution of stochastic model using Crystal Ball software and its embedded solver -- OptQuest. Ambition of this work is also to be a brief Czech version of Crystal Ball user guide.
|
|
|
Methods of the calculation of Value at Risk for the market and credit risks
Štolc, Zdeněk ; Witzany, Jiří (advisor) ; Paholok, Igor (referee)
This thesis is focused on a theoretical explication of the basic methods of the calculation Value at Risk for the market and credit risk. For the market risk there is in detail developed the variance -- covariance method, historical simulation and Monte Carlo simulation, above all for the nonlinear portfolio. For all methods the assumptions of their applications are highlighted and the comparation of these methods is made too. For the credit risk there is made a theoretical description of CreditMetrics, CreditRisk+ and KMV models. Analytical part is concerned in the quantification of Value at Risk on two portfolios, namely nonlinear currency portfolio, which particular assumptions of the variance -- covariance method a Monte Carlo simulation are tested on. Then by these methods the calculation of Value at Risk is realized. The calculation of Credit Value at Risk is made on the portfolio of the US corporate bonds by the help of CreditMetrics model.
|
|
|
Klasické a nově navržené popisné charakteristiky: porovnání výběrových vlastností na základě Monte Carlo simulace
Vohlídal, Jiří ; Čermák, Václav (advisor) ; Nováček, Jan (referee) ; Nováček, Jan (referee) ; Zelený, Martin (referee)
Na základě Monte Carlo simulace bylo provedeno porovnání estimátorů klasických a některých nově navržených měr variability, relativní variability, šikmosti a kurtozy. Z celkem 40 různých populací bylo pořízeno vždy 16 000 výběrů o rozsahu n = {7; 15; 23; 31; 47; 63; 100; 200; 350; 500; 1000}. Z každého výběru byly vypočteny hodnoty estimátorů měr založených na momentech, kvantilech, L momentech a jejich modifikacích a robustních měr založených na mediánu funkce lineární kombinace pořádkových statistik. Na základě experimentu bylo provedeno porovnání výběrových vlastností jednotlivých estimátorů z hlediska variability, vychýlení a rychlosti konvergence jejich výběrových rozdělení k normalitě. U estimátorů vybraných charakteristik byla dále na základě experimentálně odhadnuté průměrné síly testu posouzena vhodnost jejich použití jako testového kritéria při testu o rozdělení, z něhož výběr pochází. Zároveň byla porovnána síla závislosti estimátorů nově navržených charakteristik s estimátory momentovými s cílem posoudit, zda je možné danou charakteristiku skutečně považovat za vhodnou alternativu charakteristiky momentové. Výsledky ukazují, že estimátory momentových měr jsou vyhovující pro popis souboru pouze při výběrech z populací nepříliš odlišných od normálního rozdělení. S rostoucí odlišností od normality rychle roste relativní variabilita i vychýlení jejich estimátorů a projevují se různé anomálie v jejich chování. Vhodnou alternativou k mírám založeným na klasických momentech i kvantilech by se mohly stát míry založené na L momentech, jejichž estimátory vykazují ve většině případů nejlepší výběrové vlastnosti a zároveň vykazují vysokou míru závislosti s hodnotami estimátorů momentových charakteristik. Modifikace L-momentů, tzv. LQ- a TL-momenty, nepřinášejí oproti mírám založeným na L-momentech žádné zlepšení, v některých ohledech vykazují výrazně horší vlastnosti.
|
|
| |
guest ::
