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16 October, 07:20

Security Beta Expected Return Peat Co. 1.05 12.3 Re-Peat Co. 0.90 11.8 Assume these securities are correctly priced. Based on the CAPM, what is the expected return on the market? What is the risk-free rate?

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  1. 16 October, 09:40
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    The formula to compute the expected rate of return under the CAPM method is shown below:

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

    where,

    (Market rate of return - Risk-free rate of return) is also known as market risk premium

    So, the first equation is

    0.123 = risk free rate of return + 1.05 * market risk premium

    And, the other equation is

    0.118 = risk free rate of return + 0.90 * market risk premium

    Now if we equate this above equation

    So,

    0.005 = 0.15 * market risk premium

    So, the market risk premium is

    = 0.0333

    Now place the market risk premium value in any of the above equation

    0.123 = Risk free rate of return + 1.05 * 0.0333

    So, the risk free rate of return is 8.80%

    And, the expected rate of return is

    = 3.33% + 8.80%

    = 12.13%
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