You want to construct a portfolio containing equal amounts of U. S. Treasury bills, stock A, and stock B. If the beta of the stock A is 1.46 and the beta of the portfolio is 0.93, what does the beta of stock B have to be

beta of stock B = 1.33

Explanation:

the beta of treasury bills is 0

the beta of stock A = 1.46

the beta of stock B = ?

the portfolio contains equal amounts of each investment and its overall beta is 0.93

0.93 = (0 x 1/3) + (1.46 x 1/3) + (B x 1/3)

0.93 = 0 + 0.4867 + 0.333B

0.93 = 0.4867 + 0.333B

0.4433 = 0.333B

B = 0.4433 / 0.333 = 1.33

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