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9 January, 16:41

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

Stock B has a beta of 1.5, and investors expect it to return 9%.

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.)

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  1. 9 January, 17:53
    0
    The expected rate of return and the market risk premium on the market is 7% and 4% respectively

    Explanation:

    In this question, we apply the Capital Asset Pricing Model (CAPM) formula which is shown below

    Expected rate of return = Risk-free rate of return + Beta * (Market rate of return - Risk-free rate of return)

    Let us assume Risk free-rate of return be X

    And, the market rate of return be Y

    For Stock A

    5% = Risk-free rate of return + 0.5 * (Market rate of return - Risk-free rate of return)

    5% = X + 0.5 * (Y - X)

    5% = 0.5X + 0.5Y

    For Stock B

    9% = Risk-free rate of return + 1.5 * (Market rate of return - Risk-free rate of return)

    9% = X + 1.5 * (Y - X)

    9% = - 0.5X + 1.5Y

    By comparing the equations,

    14% = 2Y

    Y = 7%

    And, X equals to

    5% = 0.5X + 3.5%

    1.5% = 0.5X

    X = 3%

    So, expected rate of return is 7%

    And the market risk premium

    = 7% - 3%

    = 4%
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