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EWS-GARCH: New Regime Switching Approach to Forecast Value-at-Risk

100%
Chlebus M.
Central European Economic Journal
|
2017
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vol. 3
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issue 50
EN
In the study, the two-step EWS-GARCH models to forecast Value-at-Risk is presented. The EWS-GARCH allows different distributions of returns or Value-at-Risk forecasting models to be used in Value-at-Risk forecasting depending on a forecasted state of the financial time series. In the study EWS-GARCH with GARCH(1,1) and GARCH(1,1), with the amendment to the empirical distribution of random errors as a Value-at-Risk model in a state of tranquillity and empirical tail, exponential or Pareto distributions used to forecast Value-at-Risk in a state of turbulence were considered. The evaluation of Value-at-Risk forecasts was based on the Value-at-Risk forecasts and the analysis of loss functions. Obtained results indicate that EWS-GARCH models may improve the quality of Value-at-Risk forecasts generated using the benchmark models. However, the choice of best assumptions for the EWS-GARCH model should depend on the goals of the Value-at-Risk forecasting model. The final selection may depend on an expected level of adequacy, conservatism and costs of the model.
2
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One-day-ahead forecast of state of turbulence based on today's economic situation

86%
Chlebus M.
Equilibrium. Quarterly Journal of Economics and Economic Policy
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2018
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vol. 13
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issue 3
357-389
EN
Research background: In the literature little discussion was made about predicting state of time series in daily manner. The ability to recognize the state of a time series gives, for example, an opportunity to measure the level of risk in a state of tranquility and a state of turbulence independently, which can provide more accurate measurements of the market risk in a financial institution. Purpose of the article: The aim of article is to find an appropriate tools to predict, based on today's economic situation, the state, in which time series of financial data will be tomorrow. Methods: This paper proposes an approach to predict states (states of tranquillity and turbulence) for a current portfolio in a one-day horizon. The prediction is made using 3 different models for a binary variable (Logit, Probit, Cloglog), 4 definitions of a dependent variable (1%, 5%, 10%, 20% of worst realization of returns), 3 sets of independent variables (un-transformed data, PCA analysis and factor analysis). Additionally, an optimal cut-off point analysis is performed. The evaluation of the models was based on the LR test, Hosmer-Lemeshow test, Gini coefficient analysis and CROC criterion based on the ROC curve. The analyses were performed for 43 individual shares and 5 portfolios of shares quoted on the Warsaw Stock Exchange. The study has been conducted for the period from 1 January 2006 to 31 January 2012. Findings & Value added: Six combinations of assumptions have been chosen as appropriate (any model for a binary variable, the dependent variable defined as 5% or 10% of worst realization of returns, untransformed data, 5% or 10% cut-off point respectively). Models built on these assumptions meet all the formal requirements and have a high predictive and discriminant ability to one-day-ahead forecast of state of turbulence based on today's economic situation.
3
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Prognozowanie stanu turbulencji dla instrumentu finansowego w perspektywie dziennej na podstawie modeli dla binarnej zmiennej zależnej

72%
Chlebus M.
Ekonomia. Rynek, Gospodarka, Społeczeństwo
|
2014
|
issue 37
127-147
PL
W artykule przedstawiono propozycję modeli prognozowania stanów dla instrumentu finansowego w horyzoncie jednodniowym. W badaniu poddano analizie modele zakładające: jeden z trzech modeli dla zmiennej binarnej (logitowy, probitowy oraz cloglog), cztery definicje zmiennej zależnej (20%, 10%, 5% oraz 1% najgorszych realizacji stopy zwrotu) oraz trzy różne zbiory zmiennych niezależnych (dane nieprzekształcone, główne składowe z analizy PCA oraz czynniki z analizy czynnikowej). Ponadto w badaniu przeprowadzono analizę wyboru optymalnego punktu odcięcia. Ocena modeli została wykonana na podstawie testów LR i Hosmera-Lemeshowa oraz analizy parametru GINI i kryterium KROC. Na podstawie wyników badania empirycznego ustalono dziewięć kombinacji założeń, dla których modele stanu turbulencji spełniają określone w badaniu wymogi formalne oraz charakteryzują się wysoką zdolnością prognostyczną i dyskryminacyjną.
EN
This paper proposes an approach to predict states (states of tranquillity and turbulence) for a financial instrument in a one-day horizon. The prediction is made using 3 different models for a binary variable (LOGIT, PROBIT, CLOGLOG), 4 definitions of a dependent variable (1%, 5%, 10%, 20% of worst realization of returns), 3 sets of independent variables (untransformed data, PCA analysis and factor analysis). Additionally an optimal cut-off point analysis is performed. The evaluation of the models was based on the LR test, Hosmer-Lemeshow test, GINI coefficient analysis and KROC criterion based on the ROC curve. Nine combinations of assumptions have been chosen as appropriate (any model for a binary variable, the dependent variable defined as 1%, 5% or 10% of worst realization of returns, untransformed data, 1%, 5% or 10% cut-off point respectively). Models built on these assumptions meet all the formal requirements and have a high predictive and discriminant ability.
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