Efficient Multipowers.

Multipower estimators, widespread for their robustness to the presence of jumps, are also useful for reducing the estimation error of integrated volatility powers even in the absence of jumps. Optimizing linear combinations of multipowers can indeed drastically reduce the variance with respect to tr...

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Publicado en:Journal of Financial Econometrics Vol. 16; no. 4; pp. 629 - 660
Autores principales: Kolokolov, Aleksey, Renò, Roberto
Formato: Artículo
Publicado: Oxford University Press / USA Fall2018
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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      dt: Fall2018
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      pub: Oxford University Press / USA
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        10.1093/jjfinec/nbx018
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        atl: Efficient Multipowers.
      aug:
        au:
          Kolokolov, Aleksey
          Renò, Roberto
        affil:
          Goethe University, SAFE Center
          Università di Verona
      su:
        United States
        Econometrics
        Market volatility
        Sampling errors
        Stock prices
        Mean square algorithms
      sug:
        subj:
          Econometrics
          United States
          Market volatility
          Sampling errors
          Stock prices
          Mean square algorithms
      keyword:
        efficiency
        jumps
        multipower
        quarticity
        threshold
        volatility
        efficiency
        jumps
        multipower
        quarticity
        threshold
        volatility
      ab: Multipower estimators, widespread for their robustness to the presence of jumps, are also useful for reducing the estimation error of integrated volatility powers even in the absence of jumps. Optimizing linear combinations of multipowers can indeed drastically reduce the variance with respect to traditional estimators. In the case of quarticity, we also prove that the optimal combination is a nearly efficient estimator, being arbitrarily close to the nonparametric efficiency bound as the number of consecutive returns employed diverges. We provide guidance on how to select the optimal number of consecutive returns to minimize mean square error. The implementation on U.S. stock prices corroborates our theoretical findings and further shows that our proposed quarticity estimator noticeably reduces the number of detected jumps, and improves the quality of volatility forecasts.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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