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Abstract Details

Activity Number: 133
Type: Contributed
Date/Time: Monday, July 30, 2012 : 8:30 AM to 10:20 AM
Sponsor: Business and Economic Statistics Section
Abstract - #304235
Title: Is the TAR Model Useful for Analyzing Financial Time Series?
Author(s): Fabio H. Nieto*+ and Edna Carolina Moreno
Companies: Universidad Nacional de Colombia and Universidad Santo Tomás
Address: Carrera 72D # 2A-57, Bogota, , Colombia
Keywords: Autocorrelation of squared residuals ; Conditional variance ; Financial time series ; GARCH models ; Nonlinear time series ; TAR models
Abstract:

The performance of a TAR model in explaining the main stylized facts of financial returns is investigated by means of simulated examples and real data applications. It is concluded that not all of their empirical characteristics can be explained by a TAR model; only, the presence of large-value clusters, heavy tails, and nonnormality. Although TAR processes tend to have sample paths for which their squares and absolute values are autocorrelated, this characteristic is not explained by leptokurtic distributions, but by the nonlinear behavior of the process. As a byproduct of this research, sufficient conditions for weakly stationarity of a TAR process and the component types of the marginal mixture distribution of the interest variable were found.


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