Random Aggregation with Applications in High-Frequency Finance

Journal of Forecasting, Forthcoming

33 Pages Posted: 27 Aug 2010  

Ruey S. Tsay

University of Chicago - Booth School of Business - Econometrics and Statistics

Jin-Huei Yeh

National Central University

Date Written: August 26, 2010

Abstract

In this paper we consider properties of random aggregation in time series analysis. For application, we focus on the problem of estimating high-frequency beta of an asset return when the returns are subject to the effects of market microstructure. Specifically, we study the correlation between intraday log returns of two assets. Our investigation starts with the effect of non-synchronous trading on intraday log returns when the underlying return series follows a stationary time series model. This is a random aggregation problem in time series analysis. We also study the effect of nonsynchronous trading on the covariance of two asset returns. To overcome the impact of non-synchronous trading, we use Markov chain Monte Carlo methods to recover the underlying log return series based on the observed intraday data. We then define a high-frequency beta based on the recovered log return series and propose an efficient method to estimate the measure. We apply the proposed analysis to many mid- or small-cap stocks using the Trade and Quote Data of the New York Stock Exchange, and discuss implications of the results obtained.

Keywords: Gibbs sampling, Intraday return, Market microstructure, Markov chain Monte Carlo, Missing value

Suggested Citation

Tsay, Ruey S. and Yeh, Jin-Huei, Random Aggregation with Applications in High-Frequency Finance (August 26, 2010). Journal of Forecasting, Forthcoming. Available at SSRN: https://ssrn.com/abstract=1666022 or http://dx.doi.org/10.2139/ssrn.1666022

Ruey S. Tsay (Contact Author)

University of Chicago - Booth School of Business - Econometrics and Statistics ( email )

Chicago, IL 60637
United States
773-702-6750 (Phone)
773-702-4485 (Fax)

Jin-Huei Yeh

National Central University ( email )

300 Jhong-da Rd.,
Jhong-Li, Taiwan 320
Taiwan
886-34227151#66255 (Phone)

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