Testing for Volatility Interactions in the Constant Conditional Correlation GARCH Model
In this paper we propose a Lagrange multiplier test for volatility interactions among markets or assets. The null hypothesis is the Constant Conditional Correlation 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.
|Date of creation:||05 Jan 2007|
|Date of revision:||24 Jan 2007|
|Publication status:||Published in Econometrics Journal, 2009, pages 147-163.|
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- He, Changli & Teräsvirta, Timo, 2002. "An application of the analogy between vector ARCH and vector random coefficient autoregressive models," SSE/EFI Working Paper Series in Economics and Finance 516, Stockholm School of Economics.
- BAUWENS, Luc & LAURENT, Sébastien & ROMBOUTS, Jeroen VK, "undated".
"Multivariate GARCH models: a survey,"
CORE Discussion Papers RP
1847, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Silvennoinen, Annastiina & Teräsvirta, Timo, 2005.
"Multivariate Autoregressive Conditional Heteroskedasticity with Smooth Transitions in Conditional Correlations,"
SSE/EFI Working Paper Series in Economics and Finance
577, Stockholm School of Economics, revised 01 Oct 2005.
- Annastiina Silvennoinen & Timo Teräsvirta, 2005. "Multivariate Autoregressive Conditional Heteroskedasticity with Smooth Transitions in Conditional Correlations," Research Paper Series 168, Quantitative Finance Research Centre, University of Technology, Sydney.
- Bera, Anil K. & Kim, Sangwhan, 2002. "Testing constancy of correlation and other specifications of the BGARCH model with an application to international equity returns," Journal of Empirical Finance, Elsevier, vol. 9(2), pages 171-195, March.
- Engle, Robert F. & Kroner, Kenneth F., 1995. "Multivariate Simultaneous Generalized ARCH," Econometric Theory, Cambridge University Press, vol. 11(01), pages 122-150, February.
- Stephen G. Cecchetti & Robert E. Cumby & Stephen Figlewski, 1986.
"Estimation of the optimal futures hedge,"
Research Working Paper
86-10, Federal Reserve Bank of Kansas City.
- R-P. Berben & W.J. Jansen, 2001.
"Comovement in International Equity Markets: a Sectoral View,"
MEB Series (discontinued)
2001-11, Netherlands Central Bank, Monetary and Economic Policy Department.
- Berben, Robert-Paul & Jansen, W. Jos, 2005. "Comovement in international equity markets: A sectoral view," Journal of International Money and Finance, Elsevier, vol. 24(5), pages 832-857, September.
- Robert-Paul Berben & W. Jos Jansen, 2003. "Comovement in international equity markets: A sectoral view," Finance 0310001, EconWPA.
- Tse, Y. K., 2000.
"A test for constant correlations in a multivariate GARCH model,"
Journal of Econometrics,
Elsevier, vol. 98(1), pages 107-127, September.
- Tom Doan, "undated". "RATS programs to replicate Tse's constant correlation GARCH test results," Statistical Software Components RTZ00161, Boston College Department of Economics.
- Tom Doan, "undated". "TSECCTEST: RATS procedure to perform Tse test for constant correlation in MV-GARCH model," Statistical Software Components RTS00214, Boston College Department of Economics.
- repec:cup:etheor:v:11:y:1995:i:1:p:122-50 is not listed on IDEAS
- Fiorentini, Gabriele & Calzolari, Giorgio & Panattoni, Lorenzo, 1996.
"Analytic Derivatives and the Computation of GARCH Estimates,"
Journal of Applied Econometrics,
John Wiley & Sons, Ltd., vol. 11(4), pages 399-417, July-Aug..
- Fiorentini,G. & Calzolari,G. & Panattoni,L., 1995. "Analytic Derivatives and the Computation of Garch Estimates," Papers 9519, Centro de Estudios Monetarios Y Financieros-.
- Cifarelli, Giulio & Paladino, Giovanna, 2005. "Volatility linkages across three major equity markets: A financial arbitrage approach," Journal of International Money and Finance, Elsevier, vol. 24(3), pages 413-439, April.
- Cheung, Yin-Wong & Ng, Lilian K., 1996. "A causality-in-variance test and its application to financial market prices," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 33-48.
- Shiqing Ling & Michael McAleer, 2001.
"Asymptotic Theory for a Vector ARMA-GARCH Model,"
ISER Discussion Paper
0549, Institute of Social and Economic Research, Osaka University.
- Robert F. Engle & Kevin Sheppard, 2001.
"Theoretical and Empirical properties of Dynamic Conditional Correlation Multivariate GARCH,"
NBER Working Papers
8554, National Bureau of Economic Research, Inc.
- Engle, Robert F & Sheppard, Kevin K, 2001. "Theoretical and Empirical Properties of Dynamic Conditional Correlation Multivariate GARCH," University of California at San Diego, Economics Working Paper Series qt5s2218dp, Department of Economics, UC San Diego.
- Eklund, Bruno & Terasvirta, Timo, 2007.
"Testing constancy of the error covariance matrix in vector models,"
Journal of Econometrics,
Elsevier, vol. 140(2), pages 753-780, October.
- Eklund, Bruno & Teräsvirta, Timo, 2003. "Testing constancy of the error covariance matrix in vector models," SSE/EFI Working Paper Series in Economics and Finance 549, Stockholm School of Economics, revised 18 Jan 2006.
- Engle, Robert, 2002. "Dynamic Conditional Correlation: A Simple Class of Multivariate Generalized Autoregressive Conditional Heteroskedasticity Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(3), pages 339-350, July.
- Hamao, Yasushi & Masulis, Ronald W & Ng, Victor, 1990. "Correlations in Price Changes and Volatility across International Stock Markets," Review of Financial Studies, Society for Financial Studies, vol. 3(2), pages 281-307.
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