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The signal and the noise volatilities

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  • Chaker, Selma

Abstract

This paper explores the volatility forecasting implications of a model in which the high-frequency market microstructure noise is related to the true underlying volatility. The contribution of this paper is to propose a theoretical framework under which the realized variance, based on the highest frequency to compute returns, may improve volatility forecasting if the noise variance is an affine function of the fundamental volatility. In this new setting, we extend the work of Andersen et al. (2011) and quantify the predictive ability of several measures of integrated variance. We find that the traditional realized variance based on the highest frequency returns outperforms alternative realized measures. We also evaluate the usefulness of our approach by conducting an empirical application and show several improvements resulting from the assumption of time-varying noise variance.

Suggested Citation

  • Chaker, Selma, 2019. "The signal and the noise volatilities," Research in International Business and Finance, Elsevier, vol. 50(C), pages 79-105.
    • Handle: RePEc:eee:riibaf:v:50:y:2019:i:c:p:79-105
    DOI: 10.1016/j.ribaf.2019.04.008
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    1. repec:hal:journl:peer-00815564 is not listed on IDEAS
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    5. Barndorff-Nielsen, Ole E. & Hansen, Peter Reinhard & Lunde, Asger & Shephard, Neil, 2011. "Multivariate realised kernels: Consistent positive semi-definite estimators of the covariation of equity prices with noise and non-synchronous trading," Journal of Econometrics, Elsevier, vol. 162(2), pages 149-169, June.
    6. Torben G. Andersen & Tim Bollerslev & Francis X. Diebold & Paul Labys, 2003. "Modeling and Forecasting Realized Volatility," Econometrica, Econometric Society, vol. 71(2), pages 579-625, March.
    7. MEDDAHI, Nour, 2001. "An Eigenfunction Approach for Volatility Modeling," Cahiers de recherche 2001-29, Universite de Montreal, Departement de sciences economiques.
    8. Andersen, Torben G. & Bollerslev, Tim & Christoffersen, Peter F. & Diebold, Francis X., 2006. "Volatility and Correlation Forecasting," Handbook of Economic Forecasting, in: G. Elliott & C. Granger & A. Timmermann (ed.), Handbook of Economic Forecasting, edition 1, volume 1, chapter 15, pages 777-878, Elsevier.
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    11. Torben G. Andersen & Tim Bollerslev & Nour Meddahi, 2005. "Correcting the Errors: Volatility Forecast Evaluation Using High-Frequency Data and Realized Volatilities," Econometrica, Econometric Society, vol. 73(1), pages 279-296, January.
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    More about this item

    Keywords

    Realized volatility; Volatility forecasting; Heteroscedastic noise; Eigenfunction stochastic volatility models;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics
    • G17 - Financial Economics - - General Financial Markets - - - Financial Forecasting and Simulation

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