The beta for stock A is computed as shown below:
Expected return = risk free rate + beta ( return on market - risk free rate )
Expected return is computed as follows:
= 0.3 x - 0.03 + 0.5 x 0.12 + 0.2 x 0.2
= 9.1% or 0.091
Return on market is computed as follows:
= 0.3 x 0.01 + 0.5 x 0.04 + 0.2 x 0.08
= 3.9% or 0.039
Risk free rate = 0.02
Plugging these values in the above mentioned equation, we shall get
0.091 = 0.02 + Beta ( 0.039 - 0.02 )
Beta = 3.74 Approximately
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