National Repository of Grey Literature 272 records found  beginprevious151 - 160nextend  jump to record: Search took 0.01 seconds. 
Barrier options pricing
Macháček, Adam ; Witzany, Jiří (advisor) ; Hurt, Jan (referee)
In the presented thesis we study three methods of pricing European currency barrier options. With help of these methods we value selected barrier options with underlying asset EUR/CZK. In the first chapter we introduce the basic definitions from the world of financial derivatives and we describe our data. In the second chapter we deal with the classical model based on geometric Brownian motion of underlying asset and we prove a theorem of valuating Up-In-barrier option in this model. In the third chapter we introduce a model with stochastic volatility, the Heston model. We calibrate this model to market data and we use it to value our barrier options. In the last chapter we describe a jump diffusion model. Again we calibrate this jump diffusion model to market data and price our barrier options. The aim of this thesis is to decribe and to compare different methods of valuating barrier options. 1
Portfolios behaviour on efficient and inefficient markets
Kováčová, Iveta ; Hurt, Jan (advisor) ; Zichová, Jitka (referee)
Title: Portfolios behaviour on efficient and inefficient markets Author: Iveta Kováčová Department: Department of Probability and Mathematical Statistics Supervisor: Doc. RNDr. Jan Hurt, CSc., KPMS MFF UK Abstract: In this thesis we summarize the results concerning the construction of optimal portfolios. We introduce the geometric representation of the portfolios in the case that the assumptions about an efficient market are violated. We perform a technical analysis of the portfolio on the given data by using the program Mathematica 8.0. and compare an efficient set of the portfolio at different investment strategies.
Modelling of yield curves
Šmejkal, Jan ; Hurt, Jan (advisor) ; Zichová, Jitka (referee)
In practice, yield curves, i.e. plots of relation between yields and times to maturity for a group of comparable securities, are an important tool for assets and liabilities pricing as well as for financial decision making. The theoretical risk-free yield curve represents the term structure of interest rates that are used e.g. in insurance industry for pricing the liabilities, for which reserves are created, or also as a benchmark for pricing other assets in the market. When constructing the yield curve, it is not possible to observe yields of a group of assets for all maturities. That is why we use various mathematical methods which enable us to construct the yield curve also for unobserved maturities. In this thesis, some of these methods are introduced. The Svensson's method is one of the most important and frequently used ones. We use this method to derive the coupon curve from Czech government bonds aiming to construct the risk-free zero coupon yield curve. Later on, we use different weights for particular bonds trying to improve pricing of all the bonds based on the derived curve. Then, we also look for the curve that minimizes the mean squared error of estimated (compared to observed) prices. Because problems with liquidity can appear especially for long maturities, we apply all of the procedures to a...
Markowitz model with constraints
Němec, Jan ; Lachout, Petr (advisor) ; Hurt, Jan (referee)
Title: Markowitz model with constrains Author: Jan Němec Department: Department of Probability and Mathematical Statistics Supervisor: doc. RNDr. Petr Lachout, CSc. Abstract: Composition of an optimal portfolio from available tradable comodities is very frequntly a discussed issue. One model, which considers not only the yield of the portfolio, but also its risk, is Markowitz model. Bachelor thesis will consider this ap- proach in cases when the searched portfolio is bounded with additional restrictions. This thesis will primarily address the constraints that are determined by legislation to conduct various banking entities investing in the stock market. Keywords: Markowitz model, portfolio constraints, banking regulation 1
Credit Default Swap
Kratochvíl, Matěj ; Chudoba, Martin (advisor) ; Hurt, Jan (referee)
of the Bachelor Thesis Title: Credit Default Swap Author: Matěj Kratochvíl Department: Department of Probability and Mathematical Statistics Supervisor: Mgr. et Mgr. Martin Chudoba Abstract: The thesis deals with basic credit derivative - credit default swap. The aim of the first part is to explain its mechanism, contract elements, settlement, and to show practical examples of investment. The second part attempts to clarify how the arbitrage possibilities between bond market and credit derivatives market drive credit default swap prices to a certain range. Further there is presented a simple pricing model and possibilities of its exploitation. Examples are provided for better understanding. The third part focuses on counterparty default risk in credit default swap. Keywords: CDS, default intensity, credit risk
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
Statistical analysis and modeling of inflation
Baniar, Matúš ; Zichová, Jitka (advisor) ; Hurt, Jan (referee)
Title: Inflation modeling Author: Matúš Baniar Department: Department of probability and mathematical statistics Supervisor: RNDr. Jitka Zichová Dr., Department of probability and mathematical statistics Abstract: Inflation, the growth of the general price level, is a common economic phenomenon, which is a macroeconomic problem. The thesis deals with the me- thods by which it is possible to model inflation and therefore to understand its de- velopment. In the first case, the correlation and regression analysis, which deal with the relationship of two or more variables and the following selection of the appro- priate mathematical model. The model of linear regression is described also with methods by which we analyze its adequacy. Another described method is the analy- sis of one-dimensional time series, which we apply so called Box-Jenkins methodol- ogy. Both approaches are illustrated on real financial data using the software Wol- fram Mathematica 8. Keywords: inflation, correlation analysis, regression analysis, time series
Interest Rates
Holotňáková, Dominika ; Hurt, Jan (advisor) ; Zichová, Jitka (referee)
This thesis is focused on the study of interest rates, It consists of four chapters. The first chapter provides introduction to this issue, presents basic terminology and different method of interest rate process. The second chapter re- presents theoretical one-factor and two-factor models of interest rates, it is mainly aimed at Vasicek, Dothan and Cox-Ingersoll-Ross model, which are used in the practical part. The third chapter is devoted to internal bank policy, describing the most important factors influencing amount of interest rate and credit limit. The last part of the paper is the practical application of one-factor models on real data. At the beginning of the chapter, we describe methods of parameters esti- mation, which are used for individual models. Numerically estimated parameters are inputs for simulations of yield curves by these models. 1
Probability distributions in finance
Malec, Jaromír ; Hurt, Jan (advisor) ; Zichová, Jitka (referee)
This thesis presents a summary of distributions suitable for modelling returns and losses. First discusses the basic properties of returns and losses, and then on specific distributions. Particular emphasis is placed on the asymmetric distribution and distribution with heavy tails. These distributions are discussed in depth, and the basic properties concerning the behaviour of tails are summarized. It is also supplemented with numerical observations on real data. The motive for writing this work is the inadequacy of symmetric distribution, because they are not good for modelling extreme returns and losses. The work should help people, who are interested in studying asymmetric distribution with heavy tails, as a source of further investigation.

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