Thesis (Selection of subject)Thesis (Selection of subject)(version: 368)
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Časové řady a stochastická volatilita ve financích
Thesis title in Czech: Časové řady a stochastická volatilita ve financích
Thesis title in English: Time series and stochastic volatility in finance
Key words: volatilita, maximálně věrohodný odhad, ARCH, GARCH
English key words: volatility, maximum-likelihood estimation, ARCH, GARCH
Academic year of topic announcement: 2010/2011
Thesis type: Bachelor's thesis
Thesis language: čeština
Department: Department of Probability and Mathematical Statistics (32-KPMS)
Supervisor: doc. RNDr. Jan Hurt, CSc.
Author: hidden - assigned and confirmed by the Study Dept.
Date of registration: 02.11.2010
Date of assignment: 02.11.2010
Date and time of defence: 28.06.2011 00:00
Date of electronic submission:26.05.2011
Date of submission of printed version:27.05.2011
Date of proceeded defence: 28.06.2011
Opponents: RNDr. Jitka Zichová, Dr.
 
 
 
Guidelines
Student zpracuje kapitolu 12 z [44]. Pojedná o metodách odhadu. Pro ilustraci použije simulovaná a reálná data. Využije systém Mathematica.
References
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[33] Ross, Sheldon M.: An Elementary Introduction to Mathematical Finance. 2nd edition. Cambridge University Press. Cambridge 2003.
[34] Cipra, T.: Financial and Insurance Formulas. Springer-Verlag. Berlin 2010.
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[36] Song, Y., Yan, J. (2009): Risk measures with comonotonic subaditivity or convexity and respecting stochastic orders. Insurance: Mathematics and Economics. Vol. 45, pp. 459-465.
[37] Inui, K., Kijima, M. (2005): On the significance of expected shortfall as a coherent risk measure. J. of Banking and Finance, Vol. 29, pp. 853-864.
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[39] Dowd, K., Cairns, A. J. G., Blake, D. (2006): Mortality-dependent financial risk measures. Insurance: Mathematics and Economics. Vol. 38, pp. 427-440.
[40] Eling, M., Tibiletti, L. (2010) Internal vs. external risk measures: How capital requirements differ in practice. Opererations Research Letters. doi: 10.1016/j.orl.2010.05.003
[41] Kuan, Chung-Ming, Yeh, Jin-Huei, Hsu, Yu-Chin (2009): Assesing value at risk with CARE, the Conditional Autoregressive Expectile models. Journal of Econometrics. Vol. 150, pp. 261-270.
[42] de Melo Mendes B. V., de Souza, R. M. (2004): Measuring financial risks with copulas. Int. Rev. Financ. Analy., Vol 13, pp. 27-45.
[43] Cheng, G., Ping, L., Shi, P. (2007): A new algorithm based on copulas for VaR valuation with empirical calculations. Theoretical Computer Science. Vol. 378, pp. 190-197.
[44] Franke, J., Haerdle, W., Hafner, Ch. M. (2004): Statistics of Financial Markets. Springer, Berlin.
Preliminary scope of work
Časové řady ve financích
Preliminary scope of work in English
Time series in finance
 
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