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22 May, 07:54

Biarritz Corp. is growing quickly. Dividends are expected to grow at a rate of 25 percent for the next three years, with the growth rate falling off to a constant 4.5 percent thereafter. If the required return is 10.5 percent and the company just paid a dividend of $2.85, what is the current share price?

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  1. 22 May, 08:24
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    The current share price is $82.85

    Explanation:

    D1 = (2.85*1.25)

    = 3.56

    D2 = (3.56*1.25)

    = 4.45

    D3 = (4.45*1.25)

    = 5.566

    Value after year 3 = (D3*Growth rate) / (Required rate - Growth rate)

    = (5.566*1.045) / (0.105 - 0.045)

    = $96.95

    current price = Future dividend and value*Present value of discounting factor

    = 3.56/1.105 + 4.45/1.105^2 + 5.566/1.105^3 + $96.95/1.105^3

    = $82.85

    Therefore, The current share price is $82.85
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