Separating Information Maximum Likelihood estimation of the integrated volatility and covariance with micro-market noise

Naoto Kunitomo and Seisho Sato

The North American Journal of Economics and Finance, 2013, vol. 26, issue C, 282-309

Abstract: For estimating the integrated volatility and covariance by using high frequency financial data, we propose the Separating Information Maximum Likelihood (SIML) method when there are possibly micro-market noises. The resulting estimator, which is represented as a specific quadratic form of returns, is simple and their properties have been investigated by Kunitomo and Sato (2008a, 2008b, 2010, 2011). We show that the SIML estimator has reasonable asymptotic properties; it is consistent and it has the asymptotic normality when the sample size is large and the integrated volatility is deterministic under general conditions including some non-Gaussian and volatility models. Based on simulations, we find that the SIML estimator has reasonable finite sample properties and it would be useful for practice. The SIML estimator has the asymptotic robustness properties in the sense it is consistent when the noise terms are weakly dependent and they are endogenously correlated with the efficient market price process. We illustrate the use of SIML by analyzing Nikkei-225 futures, which are the derivatives of the major stock index in Japan.

Keywords: Integrated volatility; Integrated covariance; Micro-market noise; High-frequency data; Separating Information Maximum Likelihood (SIML); Nikkei-225 futures (search for similar items in EconPapers)
JEL-codes: C13 C30 (search for similar items in EconPapers)
Date: 2013
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (16)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ecofin:v:26:y:2013:i:c:p:282-309

DOI: 10.1016/j.najef.2013.02.006

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