Combined Lagrange Multiplier Test for ARCH in Vector Autoregressive Models

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dc.contributor.author Catani, Paul
dc.contributor.author Ahlgren, Niklas
dc.date.accessioned 2016-06-15T12:41:07Z
dc.date.available 2016-06-15T12:41:07Z
dc.date.issued 2016-06-15
dc.identifier.isbn 978-952-232-312-5 (PDF)
dc.identifier.issn L 0357-4598
dc.identifier.issn 2242-7082 (PDF)
dc.identifier.uri http://hdl.handle.net/10138/163913
dc.description.abstract In this paper we propose a combined Lagrange multiplier (LM) test for autoregressive conditional heteroskedastic (ARCH) errors in vector autoregressive (VAR) models by following a suggestion in Dufour et al. (2010) of replacing an exact Monte Carlo (MC) test by a bootstrap MC test when the model includes lags. The test circumvents the problem of high dimensionality in multivariate tests for ARCH in VAR models. It is computationally simple since it only requires computing univariate statistics. The bootstrap MC test is shown to be asymptotically exact. Monte Carlo simulations show that the test has good finite-sample properties. The test is robust against a non-normal error distribution, while other multivariate LM tests for ARCH suffer from size distortion. We present two financial applications of multivariate LM tests for ARCH to credit default swap (CDS) prices and Euribor interest rates. The results indicate that the errors are skewed and heavy-tailed, and that there are significant ARCH effects. fi
dc.language.iso en fi
dc.publisher Hanken School of Economics fi
dc.relation.ispartofseries Working Paper – 563 fi
dc.title Combined Lagrange Multiplier Test for ARCH in Vector Autoregressive Models fi
dc.type Working Paper fi
dc.identifier.laitoskoodi Department of Finance and Statistics fi
dc.subject.ysa ARCH fi
dc.subject.ysa bootstrap fi
dc.subject.ysa Lagrange multiplier test fi
dc.subject.ysa Monte Carlo test fi
dc.subject.ysa VAR model fi

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