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Compute betas against local indexes

Does it make any sense to compute betas against local indexes while a company has a great part of its operations outside such local market? I have two illustrations: BBVA and Santander.

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Both the betas computed against local indexes and also those calculated against international indexes are not very helpful, as we can notice from the following graphs that demonstrate the betas of Santander calculated along with everyday data throughout the past 5 years.

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