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Econometrics

Singapore Management University

Research Collection Lee Kong Chian School Of Business

Microstructure noise

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A State Space Model Approach To Integrated Covariance Matrix Estimation With High Frequency Data, Cheng Liu, Cheng Yong Tang Dec 2013

A State Space Model Approach To Integrated Covariance Matrix Estimation With High Frequency Data, Cheng Liu, Cheng Yong Tang

Research Collection Lee Kong Chian School Of Business

We consider a state space model approach forhigh frequency financial data analysis. An expectationmaximization(EM) algorithm is developed for estimatingthe integrated covariance matrix of the assets. The statespace model with the EM algorithm can handle noisy financialdata with correlated microstructure noises. Difficultydue to asynchronous and irregularly spaced trading data ofmultiple assets can be naturally overcome by consideringthe problem in a scenario with missing data. Since the statespace model approach requires no data synchronization, norecord in the financial data is deleted so that it efficientlyincorporates information from all observations. Empiricaldata analysis supports the general specification of the statespace model, and simulations confirm …