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22 October, 16:04

Your local toy store just announced that it will pay a $4 dividend next year, $3 the following year, and then a final liquidating dividend of $46 a share in year 3. At a discount rate of 14 percent, what should one share sell for today?

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  1. 22 October, 19:43
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    It would sell for 761.49 dollars

    Explanation:

    Generally, stock prices are determined on stock market based on supply and demand mechanism. However, according to the discount dividend model present value of stock could be calculated as dividend per share / (cost of capital equity-growth rate). Growth rate between year 1 and 2 is 3-4/4 equals to - 0.25%. From year 2 until year 3 it is 46-3/3 equals to 14.33%. Now we can take arithmetic average of these two and we get 7.04% (14.33-0.25/2). Finally share could sell today for 46+3+4 / (14-7.04%) equals to 761.49 dollars
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