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CAPM for stock traded in more than one market

I have been reading equity valuation recently and find out that the weakness of CAPM are low explanatory power and more than one required return if stock is traded in more than one market.

The question is do we have a better model that solve this problem or we just have to calculate more than on required return in practice.

thanks :)

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APT models are better than CAPM, however more expensive to calculate.

There is a relatively new research about the accuracy of the CAPM model in real life. Conclusion: CAPM sucks.

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