Journal Title
Title of Journal: AStA Adv Stat Anal
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Abbravation: AStA Advances in Statistical Analysis
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Publisher
Springer Berlin Heidelberg
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Authors: Geon Ho Choe Kyungsub Lee
Publish Date: 2013/08/24
Volume: 98, Issue: 3, Pages: 197-224
Abstract
In an asset return series there is a conditional asymmetric dependence between current return and past volatility depending on the current return’s sign To take into account the conditional asymmetry we introduce new models for asset return dynamics in which frequencies of the up and down movements of asset price have conditionally independent Poisson distributions with stochastic intensities The intensities are assumed to be stochastic recurrence equations of the GARCH type to capture the volatility clustering and the leverage effect We provide an important linkage between our model and existing GARCH explain how to apply maximum likelihood estimation to determine the parameters in the intensity model and show empirical results with the SP 500 index return series
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