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Interest Rate Models
Butkovičová, Ivana ; Popela, Pavel (referee) ; Chvátalová, Zuzana (advisor)
This bachelor’s thesis focuses on a description of the interest rate models that are applied in the sphere of financial mathematics. Furthermore, it specifically describes the Vašíček model, Cox-Ingersoll-Ross model, Ho-Lee model and Hull-White model. These models are given by the stochastic differential equations. The main terms of the Stochastic Calculus are described in the theoretical part of the thesis. All the above models are also calibrated. Moreover, the spot and forward interbank interest rate—LIBOR is described in the thesis. By applying specific data, that are available in the public database of the Czech National Bank, we have simulated the Vašíček and Cox-Ingersoll-Ross models. The obtained results are interpreted.
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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
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Interest Rate Models
Butkovičová, Ivana ; Popela, Pavel (referee) ; Chvátalová, Zuzana (advisor)
This bachelor’s thesis focuses on a description of the interest rate models that are applied in the sphere of financial mathematics. Furthermore, it specifically describes the Vašíček model, Cox-Ingersoll-Ross model, Ho-Lee model and Hull-White model. These models are given by the stochastic differential equations. The main terms of the Stochastic Calculus are described in the theoretical part of the thesis. All the above models are also calibrated. Moreover, the spot and forward interbank interest rate—LIBOR is described in the thesis. By applying specific data, that are available in the public database of the Czech National Bank, we have simulated the Vašíček and Cox-Ingersoll-Ross models. The obtained results are interpreted.
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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
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Management of the fund of alternative assets
Sobotka, Jan ; Radová, Jarmila (advisor) ; Fičura, Milan (referee)
This thesis deals with the management of the fund of alternative investments with an emphasis on photovoltaic projects in the Czech Republic. The main objective is to evaluate whether, after numerous legislative changes, these projects continue to be an attractive investment alternative. The impact of legislative changes on the economy and efficiency of the projects were analyzed for fictitious projects using static and dynamic methods of investment evaluation. The analysis showed that if there was knowledge of the additional cost burden resulting from changes in legislation, then none of the evaluated projects would have been implemented. In general, changes have had the most significant impact on projects that initially appeared to be most effective. In terms of size, restrictions affected mainly smaller projects. Overall, there was a relative alignment of return. For projects with higher levels of debt, an additional cost burden could be liquidational. Then the portfolio of alternative investment fund was created, which consists of assets of two alternative projects evaluated before. This led to evaluation, whether, despite charged fees but a lower tax rate, the investment through the fund is more favorable compared to an own special purpose company. Due to the small size of the fund the hypothesis of fund being more effective mean of administration, was not confirmed.
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Metody oceňování úrokových opcí
Pumprová, Zuzana ; Málek, Jiří (advisor) ; Baran, Jaroslav (referee)
The subject of this thesis are selected interest rate models and valuation of interest rate derivatives, especially interest rate options. Time-homogeneous one-factor short rate models, Vasicek and Cox-Ingersoll-Ross, and time-inhomogeneous short rate model, Hull{White, are treated. Heath-Jarrow-Morton framework is introduced as an alternative to short rate models, evolving the entire term structure of interest rates. The short rate models are shown to be special cases of models within the framework. The models are derived using the risk-neutral pricing methodology.
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