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Wartość zagrożona opcji europejskich szacowana przedziałowo. Symulacje

100%
Iskra D.
Studia Ekonomiczne
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2013
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vol. 124
183-192
EN
This paper presents a procedure for determining the value at risk ranges covering European options with a given level of confidence. Interval forecast VaR takes into account the uncertainty associated with the estimation error of the model parameters used. Option pricing model adapted Black-Sholes, and studies based on simulations.
2
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Analiza ryzyka na rynku Nord Pool Spot

100%
Ganczarek-Gamrot A., Krężołek D.
Studia Ekonomiczne
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2014
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vol. 192
44-58
EN
The aim of this paper is the analysis of risk on Scandinavian energy market: Nord Pool Spot. The analysis is based on Value-at-Risk and Expected Shortfall. As the normality assumption for linear returns of prices has been rejected, the alternative distribution has been proposed: the alpha-stable distribution. The results shown that there are some differences between risks among submarkets of Nord Pool Spot. Moreover, the alpha- stable distribution better approximate real Value-at-Risk than normal one only if quantiles of order 0,05 and 0,95 are considered.
3
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Portfolio Analysis on Polish Power Exchange and European Energy Exchange

100%
Glensk B., Ganczarek-Gamrot A., Trzpiot G.
Multiple Criteria Decision Making
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2013
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vol. 8
18-30
EN
The aim of this paper is a comparative analysis of contract electric energy portfolios at Polish Power Exchange (POLPX) and European Energy Exchange (EEX) spot markets. The multi-criteria approach proposed in this paper is based on minimization of the Conditional Value at Risk with the confidence level 0.95 and maximization of portfolio rates of return. The analyzed portfolios have been constructed independently for each power exchange (for investors who are interested to invest on one market only), as well as for POLEX and EEX together (for investors who invest on more than one market) with two criteria.
4
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Optymalizacja portfela inwestycyjnego ze względu na minimalny poziom tolerancji dla ustalonego VaR

100%
Iskra D.
Studia Ekonomiczne
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2013
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vol. 146
49-58
EN
The paper presents the optimization of securities portfolio. Taking into account level of acceptance α for fixed Value at Risk the optimization concerns the portfolio structure. The paper proposes a modeling of the memory effect using the multi-state Markov process where the state is determined by the sign of the last historical growth rate.
5
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Wielowymiarowa warunkowa wartość zagrożona jako miara ryzyka

100%
Krzemienowski A.
Studia Ekonomiczne
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2013
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vol. 154
53-60
EN
The Multivariate Conditional Value-at-Risk (MCVaR) is a scalar risk measure for multivariate risks modeled by multivariate random variables. It is assumed that the univariate risk components are perfect substitutes, i.e., they are expressed in the same units. MCVaR is a quantile risk measure that allows one to emphasize the consequences of more pessimistic scenarios. By changing the level of the quantile, the measure permits to parameterize prudent attitudes toward risk ranging from extreme risk aversion to risk neutrality. In terms of definition, MCVaR is slightly different from the popular and well-researched Conditional Value-at-Risk (CVaR). Nevertheless, this small difference allows one to efficiently solve MCVaR portfolio optimization problems based on the full information carried by a multivariate random variable using column generation technique, which is not possible in the case of CVaR.
6
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Analiza ryzyka inwestycji na przykładzie wybranych dodatków stopowych

80%
Krężołek D.
Studia Ekonomiczne
|
2015
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vol. 241
65-77
PL
Przemysł stalowy jest jednym z najważniejszych segmentów w strukturze gałęzi gospodarki krajów rozwiniętych oraz wschodzących. Ważnym czynnikiem determinującym finalną cenę stali jest jeden z jej komponentów, określany jako tzw. dodatek stopowy, który jest przedmiotem obrotu na giełdach towarowych. Celem artykułu jest analiza ryzyka zmiany poziomu stóp zwrotu wybranych dodatków stopowych przy wykorzystaniu nieklasycznych mierników ryzyka oraz nieklasycznych rozkładów prawdopodobieństwa. Zastosowano przede wszystkim mierniki kwantylowe i rozkłady cechujące się asymetrią oraz występowaniem obserwacji ekstremalnych. Dodatkowo dokonano pomiaru zróżnicowania w ogonach empirycznych rozkładów, a także oszacowano mierniki wskazujące na prawdopodobieństwo ekstremalnych realizacji stóp zwrotu badanych walorów.
EN
Steel industry is one of the most important area in the structure of emerging markets. Alloy surcharges, which has been examined in this paper, are significant factor determining final price of steel products. Therefore require to be extensively described. The aim of this article is analysis of volatility and risk of returns observed on the metals market using non-classical measures and non-classical probability distributions (which allow for asymmetry, data clustering, high volatility, heavy tails, etc.). Moreover, tail dependencies between pairs of assets have been discussed.
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