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Feasible inference for realised variance in the presence of jumps

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Author Info
Almut Elisabeth Dorothea Veraart ()

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Abstract

Here we assume that the logarithmic asset price is given by a semimartingle. Jacod (2006) has derived an infeasible central limit theorem for the realized variance in such a general framework. However, here we focus on constructing a feasible limit theorem. We propose a new estimator for the asymptotic variance of the realized variance. This new estimator is based on generalized versions of the realized variance and the realized bipower variation. We prove the consistency of this estimator and can derive a feasible limit theorem for the realized variance.

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Paper provided by Oxford Financial Research Centre in its series OFRC Working Papers Series with number 2007fe02.

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Length: 37
Date of creation: 2007
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Handle: RePEc:sbs:wpsefe:2007fe02

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Web page: http://www.finance.ox.ac.uk
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Related research
Keywords: Bipower variation; feasible inference; realized variance; semimartingale; stochastic volatility;

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Find related papers by JEL classification:
C4 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics
C5 - Mathematical and Quantitative Methods - - Econometric Modeling

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References listed on IDEAS
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  1. Xin Huang & George Tauchen, 2005. "The Relative Contribution of Jumps to Total Price Variance," Journal of Financial Econometrics, Oxford University Press, vol. 3(4), pages 456-499. [Downloadable!] (restricted)
  2. Asger Lunde & Peter Reinhard Hansen, 2004. "Realized Variance and IID Market Microstructure Noise," Econometric Society 2004 North American Summer Meetings 526, Econometric Society. [Downloadable!]
  3. Ole E. Barndorff-Nielsen, 2004. "Power and Bipower Variation with Stochastic Volatility and Jumps," Journal of Financial Econometrics, Oxford University Press, vol. 2(1), pages 1-37. [Downloadable!] (restricted)
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  4. Ole BARNDORFF-NIELSEN & Svend Erik GRAVERSEN & Jean JACOD & Mark PODOLSKIJ & Neil SHEPHARD, 2004. "A Central Limit Theorem for Realised Power and Bipower Variations of Continuous Semimartingales," OFRC Working Papers Series 2004fe21, Oxford Financial Research Centre. [Downloadable!]
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  5. Hansen, Peter R. & Lunde, Asger, 2006. "Realized Variance and Market Microstructure Noise," Journal of Business & Economic Statistics, American Statistical Association, vol. 24, pages 127-161, April. [Downloadable!] (restricted)
  6. Andersen, Torben G. & Bollerslev, Tim & Diebold, Francis X. & Ebens, Heiko, 2001. "The distribution of realized stock return volatility," Journal of Financial Economics, Elsevier, vol. 61(1), pages 43-76, July. [Downloadable!] (restricted)
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  1. Ilze Kalnina & Oliver Linton, 2007. "Inference about Realized Volatility using Infill Subsampling," STICERD - Econometrics Paper Series /2007/523, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE. [Downloadable!]
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