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We know the following expected returns for stock A and the market portfolio, given different states of the economy: State (s) Probability E(r A,s )

We know the following expected returns for stock A and the market portfolio, given different states of the economy:

State (s) Probability E(rA,s) E(rM,s)
Recession 0.1 -0.05 0.04
Normal 0.5 0.1 0.07
Expansion 0.4 0.18 0.11

The risk-free rate is 0.02.

Assuming the CAPM holds, what is the beta for stock A?

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