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Problem 11 [4 pts] Emily DiDonato is thinking of buying Berkshire Hathaway Inc. (BRK-B) priced at $200 per share. She assumes that that risk-free rate is about 5% and the market risk premium (MRP) is 10%. If she thinks, the stock will rise to $320 per share by the end of the year, what beta would it need to have for this expectation to be consistent with the CAPM? (Show your calculations)
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Answer #1

Cost of equity = risk free Rate + beta*market risk premium

Let cost of equity be x

200(1+x) = 320

X = 0.6 or 60℅

Now, 5% +beta*10 = 60

Beta = 5.5

Hence, beta of Stock must be 5.5 for the prices to be consistent with CAPM

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