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Forecasting Realized Volatility Using A Nonnegative Semiparametric Model

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  • Daniel PREVE

    ()
    (School of Economics, Singapore Management University)

  • Anders ERIKSSON

    ()
    (Department of Information Science/Statistics, University of Uppsala)

  • Jun YU

    ()
    (School of Economics, Singapore Management University)

Abstract

This paper introduces a parsimonious and yet flexible nonnegative semiparametric model to forecast financial volatility. The new model extends the linear nonnegative autoregressive model of Barndorff-Nielsen & Shephard (2001) and Nielsen & Shephard (2003) by way of a power transformation. It is semiparametric in the sense that the dependency structure and distributional form of its error component are left unspecified. The statistical properties of the model are discussed and a novel estimation method is proposed. Simulation studies validate the new estimation method and suggest that it works reasonably well in finite samples. The out-of-sample performance of the proposed model is evaluated against a number of standard methods, using data on S&P 500 monthly realized volatilities. The competing models include the exponential smoothing method, a linear AR(1) model, a log-linear AR(1) model, and two long-memory ARFIMA models. Various loss functions are utilized to evaluate the predictive accuracy of the alternative methods. It is found that the new model generally produces highly competitive forecasts.

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Bibliographic Info

Paper provided by Singapore Management University, School of Economics in its series Working Papers with number 22-2009.

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Length: 40 pages
Date of creation: Nov 2009
Date of revision:
Publication status: Published in SMU Economics and Statistics Working Paper Series
Handle: RePEc:siu:wpaper:22-2009

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Keywords: Autoregression; nonlinear/non-Gaussian time series; realized volatility; semiparametric model; volatility forecast.;

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