Properties of bias corrected realized variance under alternative sampling schemes
Oomen, Roel C. A. (2005) Properties of bias corrected realized variance under alternative sampling schemes. Working Paper. Coventry: Warwick Business School, Financial Econometrics Research Centre. Working papers (Warwick Business School. Financial Econometrics Research Centre) (No.04-).
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Official URL: http://www2.warwick.ac.uk/fac/soc/wbs/research/wfr...
In this paper I study the statistical properties of a bias corrected realized variance measure when high frequency asset prices are contaminated with market microstructure noise. The analysis is based on a pure jump process for asset prices and explicitly distinguishes among different sampling schemes, including calendar time, business time, and transaction time sampling. Two main findings emerge from the theoretical and empirical analysis. Firstly, based on the mean squared error criterion, a bias correction to realized variance allows for the more efficient use of higher frequency data than the conventional realized variance estimator. Secondly, sampling in business time or transaction time is generally superior to the common practice of calendar time sampling in that it leads to a further reduction in mean squared error. Using IBM transaction data, I estimate a 2.5 minute optimal sampling frequency for realized variance in calendar time which drops to about 12 seconds when a first order bias correction is applied. This results in a more than 65% reduction in mean squared error. If in addition prices are sampled in transaction time, a further reduction of about 20% can be achieved.
|Item Type:||Working or Discussion Paper (Working Paper)|
|Subjects:||H Social Sciences > HB Economic Theory|
|Divisions:||Faculty of Social Sciences > Warwick Business School > Financial Econometrics Research Centre
Faculty of Social Sciences > Warwick Business School
|Library of Congress Subject Headings (LCSH):||Multilevel models (Statistics), Analysis of variance, Diffusion processes, Accounting and price fluctuations|
|Series Name:||Working papers (Warwick Business School. Financial Econometrics Research Centre)|
|Publisher:||Warwick Business School, Financial Econometrics Research Centre|
|Place of Publication:||Coventry|
|Official Date:||June 2005|
|Number of Pages:||26|
|Institution:||University of Warwick|
|Status:||Not Peer Reviewed|
|Access rights to Published version:||Open Access|
First version, April 2004; this version, June 2005
Andersen, T. G., T. Bollerslev, F. X. Diebold, and P. Labys, 2003, “Modeling and Forecasting Realized Volatility,”
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