question archive You want to construct a portfolio containing equal amounts of U

You want to construct a portfolio containing equal amounts of U

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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? 

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TB is the treasury bills

Beta of treasury bills is 0.

Portfolio beta = (Weight TB * Beta of TB) + (Weight of stock A * Beta of stock A)+(Weight of stock B * Beta of stock B)

0.93 = ((1/3)*0) + ((1/3)*1.46) + ((1/3) * Beta of stock B)

Beta of stock B 0.33333 = 0.443333

Beta of stock B = 1.33