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Calculate the price of a dividend paying stock using the following information, assuming the price is equal to the present value of all future dividends one will receive from owning the stock. (Hint: treat the stock as a growing perpetuity)*

Question

Calculate the price of a dividend paying stock using the following information, assuming the price is equal to the present value of all future dividends one will receive from owning the stock. (Hint: treat the stock as a growing perpetuity)*

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Solution

Sure, but I need more information to calculate the price of a dividend paying stock. Here are the variables that are typically needed:

  1. D1: The expected annual dividend per share for the next year.
  2. r: The required rate of return for the stock.
  3. g: The growth rate of the dividends, assumed to be constant.

The formula for the price of a dividend paying stock (P) is given by the Gordon Growth Model, which is:

P = D1 / (r - g)

So, if you provide me with the values for D1, r, and g, I can calculate the price of the stock for you.

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