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Testing for ARCH in the Presence of Nonlinearity of Unknown Form in the Conditional Mean

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Author Info
Andrew P. Blake (Bank of England)
George Kapetanios () (Queen Mary, University of London)

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Abstract

Tests of ARCH are a routine diagnostic in empirical econometric and financial analysis. However, it is well known that misspecification of the conditional mean may lead to spurious rejections of the null hypothesis of no ARCH. Nonlinearity is a prime example of this phenomenon. There is little work on the extent of the effect of neglected nonlinearity on the properties of ARCH tests. This paper provides some such evidence and also new ARCH testing procedures that are robust to the presence of neglected nonlinearity. Monte Carlo evidence shows that the problem is serious and that the new methods alleviate this problem to a very large extent.

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Publisher Info
Paper provided by Queen Mary, University of London, Department of Economics in its series Working Papers with number 496.

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Date of creation: Jul 2003
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Handle: RePEc:qmw:qmwecw:wp496

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Related research
Keywords: Nonlinearity ARCH Neural networks

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Find related papers by JEL classification:
C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Hypothesis Testing
C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models
C45 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Neural Networks and Related Topics

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  1. Sitzia, Bruno & Iovino, Doriana, 2008. "Nonlinearities in Exchange rates: Double EGARCH Threshold Models for Forecasting Volatility," MPRA Paper 8661, University Library of Munich, Germany. [Downloadable!]
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