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Question 4: Consider the value of company ALPHAFARM earning $10.00 in earnings per share (EPS) and...

Question 4:
Consider the value of company ALPHAFARM earning $10.00 in earnings per share (EPS) and currently paying $5 in dividends per share (DPS) per annum with earnings and dividends both expected to grow indefinitely at 3% per annum and discounted at 12% (i.e. a risk-free rate of 5% plus an equity risk premium of 7%).

Calculate the value of APLHAFARM shares based on a dividend discount model (DDM) in perpetuity assuming constant growth rates indefinitely. (value to the nearest whole number)

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Answer #1

current dividend (D0)=   5  
Growth rate = 3% or   0.03  
required Return (ke)=   12% or   0.12


Price formula as per Dividend discount model in perpetuity = D0*(1+g)/(ke - g)      
5*(1+0.03)/(0.12-0.03)      
5.15   /   0.09
57.22222222      
So, stock price is    $57  

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