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27 October, 07:47

Stock A has a beta of 1.7 and has the same reward-to-risk ratio as stock B. Stock B has a beta of. 8 and an expected return of 12 percent. What is the expected return on stock A if the risk-free rate is 4.5 percent?

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  1. 27 October, 08:39
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    20.43%

    Explanation:

    Given;

    Beta of stock A = 1.7

    Beta of the stock B = 0.8

    Expected return on stock B = 12%

    Risk free rate of stock A = Risk free rate of Stock B = 4.5% (Since same reward-to-risk ratio)

    Now,

    The expected return of stock B

    = Risk free rate + (Beta * Market Risk premium)

    on substituting the respective values, we get

    12% = 4.5% + (0.8 * Market Risk premium)

    or

    Market Risk premium = 9.375%

    Also,

    The expected return of stock A

    = 4.5% + (1.7 * 9.375)

    or

    = 20.43%
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