National Repository of Grey Literature 272 records found  previous11 - 20nextend  jump to record: Search took 0.00 seconds. 
Analýza a porovnání různých modelů pro Value at Risk na nelineárním portfoliu
Baran, Jaroslav ; Witzany, Jiří (advisor) ; Hurt, Jan (referee)
The thesis describes Value-at-Risk (VaR) and Expected Shortfall (ES) models for measuring market risk. Parametric method, Monte Carlo simulation, and Historical simulation (HS) are presented. The second part of the thesis analyzes Extreme Value Theory (EVT). The fundamental theory behind EVT is built, and peaks-over-threshold (POT) method is introduced. The POT method is then used for modelling the tail of the distribution of losses with Generalized Pareto Distribution (GPD), and is simultaneously illustrated on VaR and ES calculations for PX Index. Practical issues such as multiple day horizon, conditional volatility of returns, and backtesting are also discussed. Subsequently, the application of parametric method, HS and EVT is demonstrated on a sample nonlinear portfolio designed in Mathematica and the results are discussed.
Applications of the Markowitz portfolio theory to capital markets
Tyl, Tomáš ; Hurt, Jan (advisor) ; Marušiaková, Miriam (referee)
Nazev prace: Aplikace Markowitzovy tcorie portfolia na kapitalovc trhy Autor: Tomas Tyl Katedra : Katedra pravdcpodobnosti a matematicke statistiky Vedouci diplomove prace: Doc. RNDr. Jan Hurt, CSc. e-mail vedouciho: Jan.IIurt@mff.cuni.cz Abstrakt: Prace pojednava o Markowitzove teorii portfolia a jeho aplikaci na realnych historickych datech pfi pouziti zakladnfch tri'd aktiv (jednotlive svetove akciove a dluhopisove trhy, hotovost, komodity). Cflem bude porovnat optimalm portfolia sestavena ze vstupnich udaju v historickych obdobich s ruznymi charakteristikami vynosu a rizika. Vysledkem by melo byt potvrzcnf, nebo vyvraceni hypotezy, ze pfi pouziti historickych dat je Markowitzuv model prakticky uzitecny pro bezncho investora. Prace se zameff na testovani Markowitzova modelu pro tfi typy drobnych investoru - konzcrvativniho, vyvazeneho a dynamickeho. Markowitzova teorie bude testovana pro rocnf a petilete vynosy. Klfcova slova:Teorie portfolia, Investovani, Skladba portfolia Title: Applications of the Markowitz portfoliotheory to capital markets Author: Tomas Tyl Department: Department of Probability and Mathematical Statistics Supervisor: Doc. RNDr. Jan Hurt, CSc. Supervisor's e-mail address: Jan.Hurt@mff.cuni.cz Abstract: This work discusses the Markowitz's stock portfolio theory and its application for...
One factor models of interest rates
Jambor, Matúš ; Myška, Petr (advisor) ; Hurt, Jan (referee)
Title: One factor interest rate models Author: Matúš Jambor Department: Department of Probability and Mathematical Statistics Supervisor: RNDr. Petr Myška Abstract: In this thesis we looked closely at the models of interest rates that are applied in the area of financial mathematics and actuarial sciences. There are several models that try to describe the behavior of yield curve plausibly. In most of the cases the models stem from probability theory and coincidence. These models are also means for assessment of financial derivates whose price de- pends on the interest rates movements. The work deals with three one-factor models which are analyzed into more details in the second chapter. The last chapter is about real-data calibration. Keywords: one factor models, interest rates, maximum likelihood method 1
Financial functions in Mathematica
Stacho, Michal ; Hurt, Jan (advisor) ; Zichová, Jitka (referee)
The Mathematica software contains a fully integrated environment for a large number of instruments used in classical and modern finance. One of it`s basic capabilities is an advanced evaluation of the time value of money, then pricing of financial instruments such as bonds or financial derivatives and finally financial mapping with advanced library of technical indicators. Mathematica also provides immediate access to a large field of financial and economic data through external servers and offers financial tools for working with external data. This thesis deals with descriptions of the functions implemented in Mathematica, explaining the principle of their operation and application to real data.
Option Pricing
Moravec, Radek ; Hurt, Jan (advisor) ; Cipra, Tomáš (referee)
Title: Option Pricing Author: Radek Moravec Department: Department of Probability and Mathematical Statistics Supervisor: doc. RNDr. Jan Hurt, CSc., Department of Probability and Mathematical Statistics In the present thesis we deal with European call option pricing using lattice approaches. We introduce a discrete market model and show a way how to find an arbitrage price of financial instruments on complete markets. It's equal to the discounted value of future expected cash flow. We present the binomial option pricing model and generalize it into multinomial model. We test the resulting formula on real market data obtained from NYSE and NASDAQ. We suggest a parameter estimate method which is based on time series of historical observations of daily close price. We compare calculated option prices with their real market value and try to explain the reasons of the differences. 1
Interest rate options and their valuation in binomial model
Ondruš, Martin ; Slámová, Lenka (advisor) ; Hurt, Jan (referee)
This work discusses about binomial pricing model, which is the basic principle for pricing of any kind of financial assets. We define its brief definition and show its main characteristics. Next, this work discusses about models of the short rate, especially to their discrete versions. From this set of models, we choose one of the most important interest rate models, which is Ho-Lee model and we look at it in details. According to its basis we interpret calibrating of binomial tree. Finally, we perform how to price different kinds of interest rate options such as caps or barrier options according to Ho-Lee model as well. We use mathematical software Mathematica for pricing options and calibrating of binomial tree.

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