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For the most recent year, GHI Company paid an annual dividend of $1.00. The company expects...

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Finance

For the most recent year, GHI Company paid an annual dividend of$1.00. The company expects dividends to grow by 15% for the nexttwo years, followed by 4 years of growth at 10% per year, beforedropping to a perpetual growth rate of 4% starting in year 7. Therequired return is 12%.

What is the intrinsic value per share of GHI stock?

Answer & Explanation Solved by verified expert
3.7 Ratings (408 Votes)

Intrinsic value of stock is $ 18.87

Working:

As per dividend discount model, value of stock is the present value of dividend.
Step-1:Present value of dividend of next 6 years
Year Dividend Discount factor Present value
a b c=1.12^-a d=b*c
1 $       1.15 0.892857 $       1.03
2 $       1.32 0.797194 $       1.05
3 $       1.45 0.71178 $       1.04
4 $       1.60 0.635518 $       1.02
5 $       1.76 0.567427 $       1.00
6 $       1.94 0.506631 $       0.98
Total $       6.11
Working:
Dividend of year :
1 $       1.00 x           1.15 = $       1.15
2 $       1.15 x           1.15 = $       1.32
3 $       1.32 x           1.10 = $       1.45
4 $       1.45 x           1.10 = $       1.60
5 $       1.60 x           1.10 = $       1.76
6 $       1.76 x           1.10 = $       1.94
Step-2:Present value of dividend after year 6
Present value = D6*(1+g)/(Ke-g)*DF6 Where,
= $    12.75 D6 $       1.94
g 4%
Ke 12%
DF6 0.506631
Step-3:Value of stock
Value of stock = Present value of dividends
= $       6.11 + $    12.75
= $    18.87

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Transcribed Image Text

For the most recent year, GHI Company paid an annual dividend of$1.00. The company expects dividends to grow by 15% for the nexttwo years, followed by 4 years of growth at 10% per year, beforedropping to a perpetual growth rate of 4% starting in year 7. Therequired return is 12%.What is the intrinsic value per share of GHI stock?

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