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A stock just paid a dividend of $1.37 - that is to say D0​=$1.37. The required rate of return is rs​=14.15%, and the constant annual growth rate in dividends is 4.37%. What is the stock's current price (please answer to the penny)?

Answer :

Final Answer:

The current price of the stock is $32.64.

Explanation:

To calculate the current price of the stock, we can use the Gordon Growth Model, also known as the Dividend Discount Model (DDM). The formula for the DDM is:

[tex]\[P0 = \frac{D0 \times (1 + g)}{rs - g}\][/tex]

Where:

P0 = Current stock price

D0 = Last dividend paid = $1.37

rs = Required rate of return = 14.15%

g = Constant annual growth rate in dividends = 4.37%

Plugging in the values:

[tex]\[P0 = \frac{1.37 \times (1 + 0.0437)}{0.1415 - 0.0437} = \frac{1.37 \times 1.0437}{0.0978} ≈ $32.64\][/tex]

So, the current price of the stock is approximately $32.64.

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