Abstract
The paper investigates the effect of model uncertainty on multivariate volatility prediction. Our aim is twofold. First, by means of a Monte Carlo simulation, we assess the accuracy of different techniques in estimating the combination weights assigned to each candidate model. Second, in order to investigate the economic profitability of forecast combination, we present the results of an application to the optimization of a portfolio of the US stock returns. Our main finding is that, for both real and simulated data, the results are highly sensitive not only to the choice of the model but also to the specific combination procedure being used.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsNotes
- 1.
We remark that, although the DGPs considered in the simulation study do impose a convexity constraint on the combination weights, we do not impose this constraint at the estimation stage.
- 2.
The data can be freely downloaded from the online data archive of the Journal of Applied Econometrics. The same data are also used in the paper by Golosnoy et al. [8].
- 3.
Due to space constraints, we omit reporting the estimates of the elements of the conditional correlation matrix for the CCC model but this will be made available upon request.
References
Amendola, A., Storti, G.: A GMM procedure for combining volatility forecasts. Comput. Stat. Data Anal. 52(6), 3047–3060 (2008)
Amendola, A., Storti, G.: Combination of multivariate volatility forecasts. SFB 649 Discussion Papers, SFB649 DP2009-007, SFB 649, Humboldt University, Berlin (2009)
Bollerslev, T.: Modelling the coherence in short-run nominal exchange rates: a multivariate generalized ARCH model. Rev. Econ. Stat. 72(3), 498–505 (1990)
Chiriac, R., Voev, V.: Modelling and forecasting multivariate realized volatility. J. Appl. Econ. 26(6), 922–947 (2011)
Engle, R.F.: Dynamic conditional correlation: a simple class of multivariate generalized autoregressive conditional heteroskedasticity models. J. Bus. Econ. Stat. 20(3), 339–350 (2002)
Engle, R.F., Kroner, K.F.: Modelling the coherence in short-run nominal exchange rates: a multivariate generalized ARCH model. Econ. Theor. 11(1), 122–150 (1995)
Engle, R.F., Shephard, N., Sheppard, K.: Fitting vast dimensional time-varying covariance models. Economics Series Working Papers 403, University of Oxford, Department of Economics (2008)
Golosnoy, V., Gribisch, B., Liesenfeld, R.: The conditional autoregressive Wishart model for multivariate stock market volatility. J. Econ. 167, 211–223 (2011)
Hansen, P.R., Lunde, A., Nason, J.M.: The model confidence set. Econometrica 79, 453–497 (2011)
Laurent, S., Rombouts, J.V.K., Violante, F.: On the forecasting accuracy of multivariate GARCH models. J. Appl. Econ. 27(6), 934–955 (2012)
Laurent, S., Rombouts, J.V.K., Violante, F.: On loss functions and ranking forecasting performances of multivariate volatility models. J. Econ. 173(1), 1–10 (2013)
Patton, A., Sheppard, K.: Evaluating volatility and correlation forecasts. In: Andersen, T.G., Davis, R.A., Kreiss, J.P., Mikosch, T. (eds.) Handbook of Financial Time Series, pp. 801–838. Springer-Verlag, Berlin, Heidelberg (2009)
Pesaran, M.H., Schleicher, C., Zaffaroni, P.: Model averaging in risk management with an application to futures markets. J. Empir. Finance 16(2), 280–305 (2009)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this paper
Cite this paper
Amendola, A., Storti, G. (2016). A Comparison of Different Procedures for Combining High-Dimensional Multivariate Volatility Forecasts. In: Alleva, G., Giommi, A. (eds) Topics in Theoretical and Applied Statistics. Studies in Theoretical and Applied Statistics(). Springer, Cham. https://doi.org/10.1007/978-3-319-27274-0_23
Download citation
DOI: https://doi.org/10.1007/978-3-319-27274-0_23
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-27272-6
Online ISBN: 978-3-319-27274-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)