Relative Efficiency of DCC Estimates via Different Algorithms

S. W. Ali, S. M. Jawed


Volatility plays an important role in capturing the variability in any series, hence multivariate volatility models helps us in figuring out the spillovers across variables. The observation of such spillovers plays a very crucial role in financial decision making. Starting from the pioneering works of [1] and [2] ARCH/ GARCH type models and their multivariate extensions are widely used for capturing volatility spillovers. Dynamic Conditional Correlation (DCC) model proposed by [3] is one of the most widely used multivariate GARCH model. As GARCH type models are non - linear in nature, hence their solutions vary across the algorithms used for their computation. Different algorithms are used in different software and thus give varying results.  In this study, we are going to compute and compare DCC model estimates through different software. In our study SAS results would be considered as baseline estimates and the competing results would be obtained from Stata and R. We will model the DCC estimates between returns on NYSE and PSX indices data for the time period of September 2001 to August 2016.This study would help us to determine the relative efficiency and accuracy of algorithms used for estimating the DCC model.

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Engle, R. F. (1982). Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation, Econometrica, Vol. 50, No. 4, pp. 987-1007.

Bollerslev, T. (1986) Generalized Autoregressive Conditional Heteroscedasticity, Journal of Econometrics, Vol. 31, pp. 307-327.

Engle, R. F. (2002). Dynamic Conditional Correlation, Journal of Business and Economics Statistics, Vol. 20, No. 3, pp 339-350.

Alexander, C. (2002). Principal Component Models for Generating Large GARCH Covariance Matrices, Vol 31, No. 2, 337-359.

Engle, R. F. and Sheppard, K. (2001), “Theoretical and Empirical properties of Dynamic Conditional Correlation Multivariate GARCH,” National Bureau of Economic Research Working Paper No. 8554.

McCullough, B. D. and Renfro, C. G. (1998) Benchmarks and software standards: A case study of GARCH procedures, Journal of Economic and Social Management, Vol. 25, No. 1, pp 59-71.

Bauwens, L., Laurent, S. and Rombouts, J. V. K. (2006). MULTIVARIATE GARCH MODELS: A SURVEY, Journal of Applied Econometrics, Vol. 21, No. 1, pp 79-109.

Brooks, C., Burke, S. P. and Persand, G. (2001). Benchmarks and the Accuracy of GARCH Model Estimation, International Journal of Forecasting, Vol. 17, No. 1, pp 45-56.

Ledoit, O., Santa-Clara, P. and Wolf, M. (2003). Flexible Multivariate GARCH Modeling With an Application to International Stock Markets, Review of Economics and Statistics, Vol. 85, No. 3, pp 735-747.

Lim, K. P., Hinich, M. J. and Liew, V.K.S. (2005). Statistical Inadequacy of GARCH Models for Asian Stock Markets: Evidence and Implications, Journal of Emerging Market Finance, Vol. 4, No. 3, pp 263-279.

Bollerslev, T., Engle, R. F. and Wooldridge, J. M. (1988). A Capital Asset Pricing Model with Time-varying Covariances, Journal of Political Economy, Vol. 96, No. 1, pp 116-131.

Bollerslev, T. (1990). Modeling the Coherence in Short Run Nominal Exchange Rates: A Multivariate Generalized ARCH Model, Review of Economics and Statistics, Vol. 72, pp 498-505.

Engle, R. F. and Kroner, K.F. (1995). Multivariate Simultaneous Generalized ARCH, Econometric Theory, Vol. 11, No.1., pp 122-150.



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Prof. Dr. Ejaz Ahmed 
College of Computer Science & Information Systems


Prof Dr. S. M. Aqil Burney

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