Estimating correlation from high, low, opening and closing prices

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dc.creatorRogers, L. C. G.
dc.creatorZhou, Fanyin
dc.date2008-04-01
dc.date.accessioned2026-07-07T12:18:02Z
dc.date.available2026-07-07T12:18:02Z
dc.descriptionIn 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.
dc.descriptionPublished in at http://dx.doi.org/10.1214/07-AAP460 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/0804.0162
dc.identifierhttp://arxiv.org/abs/0804.0162
dc.identifierAnnals of Applied Probability 2008, Vol. 18, No. 2, 813-823
dc.identifierdoi:10.1214/07-AAP460
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212276
dc.subjectStatistical Finance
dc.subjectProbability
dc.subject62P20, 60J65 (Primary)
dc.titleEstimating correlation from high, low, opening and closing prices
dc.typetext

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