question archive A share of common stock is expected to pay a dividend of $10 in one year (which implies that DIV1 = $10

A share of common stock is expected to pay a dividend of $10 in one year (which implies that DIV1 = $10

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A share of common stock is expected to pay a dividend of $10 in one year (which implies that DIV1 = $10.00). The stock's dividend is expected to increase at a constant rate of 7% per year (g = 7%), and the required rate of return on the stock, is 13.25% (rE = 13.25%). Based on this information and the fact that this is a constant growth stock, what should be the market price of this stock today (find P0). Assuming that everything remains constant (which therefore suggests that rE = 13.25% and g = 7% going forward), what do you expect this stock's price will be ten years from today (P10), or by the year 2031? 

 

Today's Price (P0) =

 

Expected Price in 10 Years (P10 = P2031) =

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Today price (Po) = $160

Expected price in 10 years (p10) =$336.768

Step-by-step explanation

D1 =$10

g(growth rate) =7% per year

Rate of return = 13.25%

As per constant growth stock/ model 

Po=D1/Ke-g

    =$10/13.25%-7%

    =$10/6.25%

   =$160

Price of stock is $160

 

Calculation of P10

Again using constant growth stock /model

P10 = D11/Ke-g

       =$10(1+7%)11/13.25%-7%

        =$10*2.1048/6.25%

         =$21.048/6.25%

         =$336.768

Expected price in 10 years is @336.768