# Testing for volatility interactions in the Constant Conditional Correlation GARCH model

*Tomoaki Nakatani* () and
*Timo Teräsvirta* ()

*Econometrics Journal*, 2009, vol. 12, issue 1, 147-163

**Abstract:**
In this paper, we propose a Lagrange multiplier test for volatility interactions among markets or assets. The null hypothesis is the Constant Conditional Correlation generalized autoregressive conditional heteroskedasticity (GARCH) model in which volatility of an asset is described only through lagged squared innovations and volatility of its own. The alternative hypothesis is an extension of that model in which volatility is modelled as a linear combination not only of its own lagged squared innovations and volatility but also of those in the other equations while keeping the conditional correlation structure constant. This configuration enables us to test for volatility transmissions among variables in the model. Monte Carlo experiments show that the proposed test has satisfactory finite-sample properties. The size distortions become negligible when the sample size reaches 2500. The test is applied to pairs of foreign exchange returns and individual stock returns. Results indicate that there seem to be volatility interactions in the pairs considered, and that significant interaction effects typically result from the lagged squared innovations of the other variables. Copyright The Author(s). Journal compilation Royal Economic Society 2009

**Date:** 2009

**References:** Add references at CitEc

**Citations:** View citations in EconPapers (37) Track citations by RSS feed

**Downloads:** (external link)

http://www.blackwell-synergy.com/doi/abs/10.1111/j.1368-423X.2008.00261.x link to full text (text/html)

Access to full text is restricted to subscribers.

**Related works:**

Working Paper: Testing for Volatility Interactions in the Constant Conditional Correlation GARCH Model (2008)

This item may be available elsewhere in EconPapers: Search for items with the same title.

**Export reference:** BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text

**Persistent link:** https://EconPapers.repec.org/RePEc:ect:emjrnl:v:12:y:2009:i:1:p:147-163

**Ordering information:** This journal article can be ordered from

http://www.ectj.org

Access Statistics for this article

Econometrics Journal is currently edited by *Richard J. Smith*, *Oliver Linton*, *Pierre Perron*, *Jaap Abbring* and *Marius Ooms*

More articles in Econometrics Journal from Royal Economic Society Contact information at EDIRC.

Bibliographic data for series maintained by Wiley-Blackwell Digital Licensing ().