Efficient markets models assert that the price of each asset is equal to the optimal forecast of its ex-post or fundamental value. These models do not imply, however, that the covariance between two asset prices is given by the covariance between the ex-post values they respectively forecast: these two covariances can even have opposite signs. However, it is possible to place bounds on the covariance between asset prices given the covariance matrix of ex-post values. We present such bounds for both covariances and correlations and show how such bounds can be tightened using information beyond the covariance matrix of ex-post values. The methods are used to examine whether the historical correlation between the U.S. and U.K. stock markets 1919-1989 is warranted. The bounds on the warranted covariance are very wide and include the actual correlation.
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Length: 22 pages Date of creation: Feb 1991 Date of revision: Publication status: Published in Oxford Economic Papers (1993), 45: 387-402 Handle: RePEc:cwl:cwldpp:970
Find related papers by JEL classification: G12 - Financial Economics - - General Financial Markets - - - Asset Pricing G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies G15 - Financial Economics - - General Financial Markets - - - International Financial Markets
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