Skip to main content

A Comparison of Different Procedures for Combining High-Dimensional Multivariate Volatility Forecasts

  • Conference paper
  • First Online:

Part of the book series: Studies in Theoretical and Applied Statistics ((STASSPSS))

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

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Notes

  1. 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. 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. 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

  1. Amendola, A., Storti, G.: A GMM procedure for combining volatility forecasts. Comput. Stat. Data Anal. 52(6), 3047–3060 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  2. Amendola, A., Storti, G.: Combination of multivariate volatility forecasts. SFB 649 Discussion Papers, SFB649 DP2009-007, SFB 649, Humboldt University, Berlin (2009)

    Google Scholar 

  3. Bollerslev, T.: Modelling the coherence in short-run nominal exchange rates: a multivariate generalized ARCH model. Rev. Econ. Stat. 72(3), 498–505 (1990)

    Article  Google Scholar 

  4. Chiriac, R., Voev, V.: Modelling and forecasting multivariate realized volatility. J. Appl. Econ. 26(6), 922–947 (2011)

    Article  MathSciNet  Google Scholar 

  5. 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)

    Article  MathSciNet  Google Scholar 

  6. 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)

    Article  MathSciNet  Google Scholar 

  7. 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)

    Google Scholar 

  8. Golosnoy, V., Gribisch, B., Liesenfeld, R.: The conditional autoregressive Wishart model for multivariate stock market volatility. J. Econ. 167, 211–223 (2011)

    Article  MathSciNet  Google Scholar 

  9. Hansen, P.R., Lunde, A., Nason, J.M.: The model confidence set. Econometrica 79, 453–497 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  10. Laurent, S., Rombouts, J.V.K., Violante, F.: On the forecasting accuracy of multivariate GARCH models. J. Appl. Econ. 27(6), 934–955 (2012)

    Article  MathSciNet  Google Scholar 

  11. 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)

    Article  MathSciNet  Google Scholar 

  12. 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)

    Chapter  Google Scholar 

  13. 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)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Giuseppe Storti .

Editor information

Editors and Affiliations

Rights and permissions

Reprints 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

Publish with us

Policies and ethics