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Mathematical Biosciences and Engineering

2019, Volume 16, Issue 6: 7195-7216. doi: 10.3934/mbe.2019361
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Forecasting volatility using combination across estimation windows: An application to S&P500 stock market index

  • 1.
    Department of Economics, University of Roma Tre, Via Silvio D’Amico 77, Rome, 00145, Italy
  • 2.
    SOSE - Soluzioni per il Sistema Economico Spa, Via Mentore Maggini 48C, Rome, 00143, Italy
  • Received: 02 June 2019 Accepted: 16 July 2019 Published: 07 August 2019

  • The paper focuses on GARCH-type models for analysing and forecasting S&P500 stock market index. The aim is to empirically evaluate and compare alternative forecast combinations across estimation windows for directly dealing with possible structural breaks in the observed time series. In the in-sample analysis, alternative conditional volatility dynamics, suitable to account for stylized facts, have been considered along with different conditional distributions for the innovations. Moreover, an analysis of structural breaks in the unconditional variance of the series has been performed. In the out-of-sample analysis, for each model specification, the proposed forecast combinations have been evaluated and compared in terms of their predictive ability through the model confidence set. The results give evidence of the presence of structural breaks and, as a consequence, of parameter instability in S&P500 series. Moreover, averaging across volatility forecasts generated by individual forecasting models estimated using different window sizes performs well, for all the considered GARCH-type specifications and for all the implemented conditional distributions for the innovations and it appears to offer a useful approach to forecasting S&P500 stock market index.

    Citation: Davide De Gaetano. Forecasting volatility using combination across estimation windows: An application to S&P500 stock market index[J]. Mathematical Biosciences and Engineering, 2019, 16(6): 7195-7216. doi: 10.3934/mbe.2019361

    Related Papers:

  • The paper focuses on GARCH-type models for analysing and forecasting S&P500 stock market index. The aim is to empirically evaluate and compare alternative forecast combinations across estimation windows for directly dealing with possible structural breaks in the observed time series. In the in-sample analysis, alternative conditional volatility dynamics, suitable to account for stylized facts, have been considered along with different conditional distributions for the innovations. Moreover, an analysis of structural breaks in the unconditional variance of the series has been performed. In the out-of-sample analysis, for each model specification, the proposed forecast combinations have been evaluated and compared in terms of their predictive ability through the model confidence set. The results give evidence of the presence of structural breaks and, as a consequence, of parameter instability in S&P500 series. Moreover, averaging across volatility forecasts generated by individual forecasting models estimated using different window sizes performs well, for all the considered GARCH-type specifications and for all the implemented conditional distributions for the innovations and it appears to offer a useful approach to forecasting S&P500 stock market index.
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    © 2019 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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