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Adaptive Realized Kernels

Author

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  • Marine Carrasco
  • Rachidi Kotchoni

Abstract

We design adaptive realized kernels to estimate the integrated volatility in a framework that combines a stochastic volatility model with leverage effect for the efficient price and a semiparametric microstructure noise model specified at the highest frequency. Some time dependence parameters of the noise model must be estimated before adaptive realized kernels can be implemented. We study their performance by simulation and illustrate their use with twelve stocks listed in the Dow Jones Industrial. As expected, we find that adaptive realized kernels achieves the optimal trade-off between the discretization error and the microstructure noise. Nous proposons un nouvel estimateur - les noyaux réalisés adaptatifs - pour la volatilité intégrée dans un cadre théorique combinant un modèle de volatilité stochastique avec effet de levier pour le prix d'équilibre de l'actif et un modèle semi-paramétrique spécifiée à la plus haute fréquence pour le bruit de microstructure. Avant de pouvoir implémenter les noyaux réalisés adaptatifs, certains des paramètres de dépendance temporelle du bruit de microstructure doivent d'abord être estimés. Nous étudions les performances de cet estimateur par simulation et illustrons son utilisation avec des données sur douze titres cotés dans le Dow Jones Industrial. Les résultats de simulation suggèrent que les noyaux adaptatifs réalisés permettent de faire un arbitrage optimal entre l'erreur de discrétisation et le bruit de microstructure.

Suggested Citation

  • Marine Carrasco & Rachidi Kotchoni, 2011. "Adaptive Realized Kernels," CIRANO Working Papers 2011s-29, CIRANO.
    • Handle: RePEc:cir:cirwor:2011s-29
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    Cited by:

    1. Ikeda, Shin S., 2016. "A bias-corrected estimator of the covariation matrix of multiple security prices when both microstructure effects and sampling durations are persistent and endogenous," Journal of Econometrics, Elsevier, vol. 193(1), pages 203-214.

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    More about this item

    Keywords

    Integrated Volatility; method of moment; microstructure noise; realized kernel; Bruit de microstructure; méthode des moments; noyaux adaptatifs réalisés; volatilité intégrée;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)

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