Title:	Stock market risk measured by VaR nad CVaR: A comparison study
Authors:	Málek, Jiří van Quang, Tran
Citation:	Trendy v podnikání = Business trends : vědecký časopis Fakulty ekonomické ZČU v Plzni. 2020, roč. 10, č. 4, s. 41-48.
Issue Date:	2020
Publisher:	Západočeská univerzita v Plzni
Document type:	článek article
URI:	http://hdl.handle.net/11025/42504
ISSN:	1805-0603
Keywords:	akciové indexy;t-distribuce;normální inverzní rozdělení;inverzní Gaussovo rozdělení;VaR;CVaR;hodnota v riziku;podmíněná hodnota v riziku
Keywords in different language:	stock market indices;t-distribution;normal inverse Gaussian distribution;VaR;CVaR;value at risk;Conditional Value at Risk
Abstract in different language:	VaR and CVaR are effective quantitative measurement of market risk. These measures can quantify the risk of unexpected changes within a given period. In this paper, we examine the market risk of four stock indices: the Czech PX, the Austrian ATX, the London FTSE, and the American S&P 500. First, the returns of these indices are approximated using two distributions showing semi-heavy tails: a t- distribution and a normal inverse Gaussian distribution. For comparison, the normal and empirical distributions are also included since they often work as convenient alternatives. Subsequently, the VaR99 and CVaR97.5 values corresponding to four candidate distributions are calculated for each index. We also analyze the ability of theoretical distribution to approximate the left tail behavior of stock market indices returns. It turns out that the normal distribution is not suitable for this purpose. Furthermore, it appears that CVaR97.5 is higher (in absolute value) for all indices than the corresponding VaR 99, which may require higher need for economic capital, which banks should allocate.
Rights:	© Západočeská univerzita v Plzni
Appears in Collections:	Číslo 4 (2020) Číslo 4 (2020)

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