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Stock A has a beta of .5, and investors expect it to return 7%. Stock B has a be

ID: 2735588 • Letter: S

Question

Stock A has a beta of .5, and investors expect it to return 7%. Stock B has a beta of 1.5, and investors expect it to return 16%. Use the CAPM to find the expected rate of return and the market risk premium on the market.

(Do not round intermediate calculations. Round your answers to 1 decimal place.)

Stock A has a beta of .5, and investors expect it to return 7%. Stock B has a beta of 1.5, and investors expect it to return 16%. Use the CAPM to find the expected rate of return and the market risk premium on the market.

(Do not round intermediate calculations. Round your answers to 1 decimal place.)

     Expected rate of return %     Market risk premium %  

Explanation / Answer

Required return = Rf + Market Risk Premium x Beta

Stock A
7% = Rf + Market Risk Premium*0.5
Market Risk Premium = (0.07 - Rf)/0.5    .......................(1)

Stock B
16% = Rf + Market Risk Premium*1.5
Market Risk Premium = (0.16 - Rf)/1.5    .......................(2)

From 1 and 2

(0.07 - Rf)/0.5 = (0.16 - Rf)/1.5

On solving the equation we get,

Rf(Risk free rate) = 2.5%

Market Risk Premium = (0.16 - 0.025)/1.5 = 0.09 or 9%

Expected Return:
Stock A = 7%
Stock B = 16%

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