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Testing for jumps in conditionally Gaussian ARMA-GARCH models, a robust approach

Sébastien Laurent (), Christelle Lecourt and Franz C. Palm
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Christelle Lecourt: GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - CNRS - Centre National de la Recherche Scientifique - ECM - Ecole Centrale de Marseille
Franz C. Palm: Maastricht University [Maastricht]

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Abstract: Financial asset prices occasionally exhibit large changes. To deal with their occurrence, observed return series are assumed to consist of a conditionally Gaussian ARMA-GARCH type model contaminated by an additive jump component. In this framework, a new test for additive jumps is proposed. The test is based on standardized returns, where the first two conditional moments of the non-contaminated observations are estimated in a robust way. Simulation results indicate that the test has very good finite sample properties, i.e. correct size and high proportion of correct jump detection. The test is applied to daily returns and detects less than 1% of jumps for three exchange rates and between 1% and 3% of jumps for about 50 large capitalization stock returns from the NYSE. Once jumps have been filtered out, all series are found to be conditionally Gaussian. It is also found that simple GARCH-type models estimated using filtered returns deliver more accurate out-of sample forecasts of the conditional variance than GARCH and Generalized Autoregressive Score (GAS) models estimated from raw data.

Keywords: forecasting; GARCH; Jumps; test (search for similar items in EconPapers)
Date: 2016
Note: View the original document on HAL open archive server: https://hal-amu.archives-ouvertes.fr/hal-01447861
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Published in Computational Statistics and Data Analysis, Elsevier, 2016, 100 (C), pp.383--400. 〈10.1016/j.csda.2014.05.015〉

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