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McGaha Enterprises expects earnings and dividends to grow at a rate of 29% for the next...

McGaha Enterprises expects earnings and dividends to grow at a rate of 29% for the next 4 years, after the growth rate in earnings and dividends will fall to zero, i.e., g = 0. The company's last dividend, D0, was $1.25, its beta is 1.20, the market risk premium is 5.50%, and the risk-free rate is 3.00%. What is the current price of the common stock?

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Expert Solution

Current price of the common stock is $ 7.64

As per dividend discount model, current share price is present value of future dividends.

Year Dividend Discount factor Present Value
a b c=1.096^-a d=b*c
1 $       1.61 0.912409 $       1.47
2 $       2.08 0.83249 $       1.73
3 $       2.68 0.759571 $       2.04
4 $       3.46 0.693039 $       2.40
Total $       7.64
So, current price of common stock is $ 7.64
Working:
As per Capital Asset Pricing Model,
Required return = Risk free rate + Beta * market risk premium
= 3.00% +           1.20 * 5.50%
= 9.60%

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