Modelling and Forecasting Noisy Realized Volatility

Manabu Asai, Michael McAleer and Marcelo Medeiros ()

No 758, KIER Working Papers from Kyoto University, Institute of Economic Research

Abstract: Several methods have recently been proposed in the ultra high frequency financial literature to remove the effects of microstructure noise and to obtain consistent estimates of the integrated volatility (IV) as a measure of ex-post daily volatility. Even bias-corrected and consistent realized volatility (RV) estimates of IV can contain residual microstructure noise and other measurement errors. Such noise is called "realized volatility error". Since such errors are ignored, we need to take account of them in estimating and forecasting IV. This paper investigates through Monte Carlo simulations the effects of RV errors on estimating and forecasting IV with RV data. It is found that: (i) neglecting RV errors can lead to serious bias in estimators; (ii) the effects of RV errors on one-step ahead forecasts are minor when consistent estimators are used and when the number of intraday observations is large; and (iii) even the partially corrected R2 recently proposed in the literature should be fully corrected for evaluating forecasts. This paper proposes a full correction of R2 . An empirical example for S&P 500 data is used to demonstrate the techniques developed in the paper.

Keywords: realized volatility; diffusion; financial econometrics; measurement errors; forecasting; model evaluation; goodness-of-fit.; realized volatility; diffusion; financial econometrics; measurement errors; forecasting; model evaluation; goodness-of-fit. (search for similar items in EconPapers)
JEL-codes: C22 C53 G11 G17 G32 (search for similar items in EconPapers)
Pages: 35pages
Date: 2011-01
New Economics Papers: this item is included in nep-ets, nep-for and nep-mst
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http://www.kier.kyoto-u.ac.jp/DP/DP758.pdf (application/pdf)

Related works:
Journal Article: Modelling and forecasting noisy realized volatility (2012)
Working Paper: Modelling and Forecasting Noisy Realized Volatility (2011)
Working Paper: Modelling and Forecasting Noisy Realized Volatility (2011)
Working Paper: Modelling and Forecasting Noisy Realized Volatility (2010)
Working Paper: Modelling and Forecasting Noisy Realized Volatility (2009)
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Persistent link: https://EconPapers.repec.org/RePEc:kyo:wpaper:758

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