Year: 2008
Type: article
Abstract: In earlier studies, the estimation of the volatility of a stock using information on the daily opening, closing, high and low prices has been developed; the additional information in the high and low prices can be incorporated to produce unbiased (or near-unbiased) estimators with substantially lower variance than the simple open–close estimator. This paper tackles the more difficult task of estimating the correlation of two stocks based on the daily opening, closing, high and low prices of each. If we had access to the high and low values of some linear combination of the two log prices, then we could use the univariate results via polarization, but this is not data that is available. The actual problem is more challenging; we present an unbiased estimator which halves the variance.
DOI: 10.1214/07-aap460
Authors: L. C. G. Rogers, Fanyin Zhou
Institutions: University of Cambridge, Imperial College London
Language: English
Subfield: Finance
Domain: Social Sciences
Open Access status: bronze
Funder: BNP Paribas Cardif
OpenAlex ID: W2032296959