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2 risky Stocks A and B are weighted 20% and 80% respectively. If the beta for...

2 risky Stocks A and B are weighted 20% and 80% respectively. If the beta for stock A is 1.2 what are the betas for the market portfolio and stock B (assume also a risk free stock)

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Answer #1

Beta for risk free assets is always 0 , So beta of stock B is zero.it has been assumed that stock B is a risk free stock, because the beta is not given of stock B and it is also said to assume one of the stock as risk free stock.

Beta of market portfolio would be weighted average beta of the stocks present in the market portfolio.

beta of market portfolio = (beta of stock A × weight of stock A into portfolio)+(beta of stock B×weight of stock B into portfolio)

= (1.2×20%)+(0×80%)

= .24+0

= .24

Hence the beta of market portfolio would be .24

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