Moon Inc. paid a dividend of $3 this year. The dividends you expect to grow at 3% a year forever. The risk free rate is 3% and you require a risk premium of 5%. What is the value of the stock based on the dividend discount model? (10 points)? If the price of the stock in the market is $60 a share, should you buy it and why?
Given about Moon Inc.'s stock,
Dividend paid D0 = $3
dividend growth rate g = 3%
risk free rate = 3%
required risk premium on stock = 5%
So, required return on stock rs = risk free rate + risk premium = 3 + 5 = 8%
Value of the stock today using constant dividend growth model is
P0 = D0*(1+g)/(rs - g) = 3*1.03/(0.08 - 0.03) = $61.80
So, intrinsic value of stock today is $61.80
actual price of stock today = $60
Since stock is underpriced, i.e. current price of the stock is less than expected price, stock price is expected to increase in near future. So, stock should be purchased.
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