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2010
|
vol. 57
|
issue 2-3
16-35
EN
The paper presents the general LL (Local Level) model with time-varying conditional variance, recently proposed by Stock and Watson. The main purpose is to present the Bayesian estimation and model comparison of different local level models with Normal GARCH, Student-t GARCH and SV disturbances. We are particularly interested how the different specifications of the conditional variance affect the explanatory power of a set of competing models. We apply the LL models to logarithmic transformations of the original prices of Żywiec, Polish company listed on the WSE. The model selection and posterior estimates provide strong evidence in favor of a model with SV disturbances in the core component, and the transitory component.
PL
W artykule omówiono postać i własności modelu lokalnego poziomu, w którym zakłócenia losowe, w równaniu stanu i obserwacji, podlegają procesowi zmienności stochastycznej (SV) lub GARCH(1,1). Zasadniczym celem było opracowanie metod numerycznych wykorzystywanych w schemacie wnioskowania bayesowskiego w kontekście rozważanych modeli. Przykład empiryczny, zawarty w artykule, dotyczył wybranej spółki notowanej na GPW w Warszawie. Uzyskane wyniki wskazują, że najbardziej prawdopodobny okazał się model LL-SV, który uzyskał znaczną przewagę na standardowym modelem stochastycznej zmienności.
EN
The paper presents general local level model with stochastic volatility, recently proposed for U.S. inflation by Stock and Watson. The main purpose is to present and compare other local level model specifications, especially with Normal GARCH and Student-t GARCH disturbances. The paper is a full Bayesian analysis and concerns inflation in Poland during 1992-2007. The model selection and posterior estimates provide strong evidence in favor of a model with heavy-tailed disturbances in the core component, and the transitory component. Also, after the system transformations in the early 90's, the volatility of the disturbances driving both components have been substantially decreasing over time.
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