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

We know the following expected returns for stocks A and B, given different states of the economy:

State (s) Probability E(rA,s) E(rB,s)
Recession 0.3 -0.06 0.02
Normal 0.5 0.09 0.05
Expansion 0.2 0.17 0.09

The expected return on the market portfolio is 0.07 and the risk-free rate is 0.02.

a) What is the standard deviation of returns for stock B?

b) What is the beta for stock B?

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