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Separation of pension fund assets to administrator and clients parts
Rada, Jakub ; Středová, Marcela (advisor) ; Mandl, Petr (referee)
Důchodový systém prochází v posledních letech řadou reforem, jejichž dopad se projeví na všech účastnících tohoto systému. Tato diplomová práce se zabývá současným stavem penzijního připojištění v ČR a především pak jeho změnou, kterou přinese oddělení majetku klientů penzijních fondů od majetku akcionářů. Dále je zde rozebrán rizikově neutrální přístup pro oceňování instrumentů obchodovaných na finančních trzích. Z něj pak vychází námi vytvořený model pro výpočet současné hodnoty budoucích zisků generovaných platnými smlouvami, které připadají na akcionáře. Tento model nám poslouží i k modelaci současné hodnoty objemu prostředků klienta penzijní společnosti, v závislosti na jím zvolené investiční strategii.
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Actuarial approach to credit risk modelling
Benešová, Milena ; Benková, Markéta (advisor) ; Mandl, Petr (referee)
This thesis deals with one of the models for the credit risk measurement - the model CreditRisk+. The theoretical part describes the theory which is the basis for this model. Further, the thesis demonstrates an applicative example of calculation distribution of default losses. The model uses Poisson distribution as the distribution of the number of defaults from this we can proceed to the distribution of default losses which is output from this model. The theoretical part also presents two variants of this model. The first of this variant is the calculation of the distribution of default losses with fixed default rates. The main asset of this model is the second variant which calculates with the variable default rates. The applied part deals with the recurrence relation which is described with the model-makers. This thesis deals with the combination of CreditRisk+ with the another model known as CreditMetrics, too. The calculation is realized on the basis of Monte Carlo's simulation of the future portfolio. The aim of this part is to demonstrate how this model is applicable in practise.
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Semi-markov model for credit risk management
Benková, Markéta ; Mandl, Petr (advisor) ; Laušmanová, Monika (referee) ; Keprta, Stanislav (referee)
With the arrival of the New Basel Capital Accord, which was acknowledged by most of Czech banks during the years 2007 and 2008, the importance of internal ratings for the assessment of the health of the whole financial sector has grown tremendously. Internal ratings are now used for the calculation and allocation of capital, as well as for the determination of interest rates and margins. It is the changes of internal ratings which are obvious applications of the multi-states models. Through the use of methods usual for the Semimarkovian chains analysis, it is possible to analyze the structure of the internal ratings changes, to monitor the periods between successive changes, and to focus also on the transition matrices themselves. The important part of this work is the comparison of given parameters as observed during steady times, and during the nancial crises, which dates from the fall of the Lehman Brothers in September 2008.
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The Application of the Markov Chains in Credit Risk Models
Bořánek, Jan ; Benková, Markéta (advisor) ; Mandl, Petr (referee)
Credit risk management has become the key instrument for better portfolio diversification and related minimalization of possible loss. Upon the credit risk management we can estimate amount of company's loss brought with creditworthiness of its obligors. Lots of models dealing with credit risk have been developed and most of them are based on Markov Chains theory. This theory also makes up the basis of CreditMetrics, the model which we introduce. Rating migration matrix is the basic input into this model. Two chapters are concerned with constructing and modifying of such matrices. Other chapters deal at firs with general simulation and data analysis on the real credit portfolio come after. CD with input data and computational procedure in Mathematica is also added. The code is pasted as an appendix, too.
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The economic capital and the price of risk in a pension fund
Čupák, Matúš ; Finfrle, Pavel (advisor) ; Mandl, Petr (referee)
In the present work we study the economic capital of pension funds and their possible extension into the new concept of Solvency II. The main task is to examine the risks that are characteristic for pension fund activity. We use several modified stress simulations, which we model using a virtual model of pension fund. Primarily we focus on changes in net asset value (NAV) which is used in standard formula for calculation of the solvency capital requirement (SCR). In conclusion, we evaluate the possible impact of applications Solvency II to pension funds, the resulting economic capital and solvency of modeled pension fund.
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The analysis of approximations of technical reserves in Solvency II
Kvardová, Lucie ; Justová, Iva (advisor) ; Mandl, Petr (referee)
In the present work we study the alternatives in the valuation of technical provisions under the Solvency II. We are concerned on set of proposals which are about the usage of proxies released in the fourth Quantitative Impact Study. The proxy is an approach for the calculation of the best estimate for those companies which do not have the sufficient statistical data in order to carry out a proper actuarial calculation. This work is based on application of proxy to the traditional actuarial techniques. There is also a description of supervisors procedure how to derive market parameters based on claims development scheme of each insurance company. The next chapter is focused on model error calculation and gives us an information whether the proxy method is proper and reliable. There is also a need of risk margin calculation to meet the insurers obligations. This work also enumerates a number of risk margin's proxies.
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Stress testing in quantitative analysis of securitized products
Maťašová, Dominika ; Myška, Petr (advisor) ; Mandl, Petr (referee)
In the present work we study the securitized products of financial markets with focus on collateralized debt obligations. In first part the thesis deals with the reasons behind launching these products, the portfolio, tranches and further on mechanisms how these structures are working. In the second part the thesis describes the valuation methods for which the Markov chains and copula functions are used. Further on follows the practical part with output from the quantitative analysis and at the end the thesis describes the stress testing of particular parametres.
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