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10 July, 20:42

Floyd Industries stock has a beta of 1.30. The company just paid a dividend of $.30, and the dividends are expected to grow at 4 percent per year. The expected return on the market is 13 percent, and Treasury bills are yielding 4.5 percent. The most recent stock price for Floyd is $62.

a. Calculate the cost of equity using the DDM method. b. Calculate the cost of equity using the SML method.

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  1. 10 July, 20:46
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    a. Cost of Equity is 4.50%

    b. Cost of Equity is 15.55%

    Explanation:

    a.

    The formula for price of a stock using the constant growth model of the DDM approach is,

    P0 = D0 * (1+g) / r - g

    Plugging in the available values,

    62 = 0.3 * (1+0.04) / (r - 0.04)

    62 * (r - 0.04) = 0.312

    62r - 2.48 = 0.312

    62r = 0.312 + 2.48

    r = 2.792 / 62

    r = 0.045 or 4.5%

    b.

    SML (r) = rRF + β * (rM - rRF)

    Plugging in the values,

    r = 0.045 + 1.3 * (0.13 - 0.045)

    r = 0.1555 or 15.55%
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