MEGG Inc. just paid a dividend of $2.00 per share on its stock. The dividends are expected to grow at a constant 6 percent per year indefinitely. If investors require a 13 percent return on the stock, what is the current price? What will the price be in 3 years? In 15 years? Do 8 Ke Po This is a dividend constant growth valuation problem. see text p. 209 for formula Po= #DIV/0! todays price What will the price be in? end of year 3 D1 D2 $$ Ke is required return of investor g is the constant growth rate of dividends in perpetuity Do is the current dividend D3 $ Price at the end of year 15 D2 D3 D1 D4 $ 2.12 $ 2.25 $ 2.38 $ . Do (1+g)/(Ke-g) 4 use the constant growth formula using D3 as the dividend to grow P3 P3= D3*(1+g)/(Ke-g) D5 $ 5 D6 $- 6 D7 $ 7 D8 $ 8 D9 $ 9 D10 $ 10 11 12 13 D11 D12 $ $ D13 $ D14 $ 14 15 D15 $ use the constant growth formula using D15 as the dividend to grow P15 P15= D15*(1+g)/(Ke-g)

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Q5-2
MEGG Inc. just paid a dividend of $2.00 per share on its stock. The dividends are expected to grow at a constant 6 percent per year indefinitely. If investors require a 13 percent return on the stock, what is the current
price? What will the price be in 3 years? In 15 years?
Do
g
Ke
Po
#DIV/0! todays price
What will the price be in?
This is a dividend constant growth valuation problem.
see text p. 209 for formula
Po=
end of year 3
D1
D2
$
$
D1
$
Price at the end of year 15
D2
D3
2.12 $
Ke is required return of investor
g is the constant growth rate of dividends in perpetuity
Do is the current dividend
D3
$
2.25 $
D4
2.38 $
Do*(1+g)/(Ke-g)
4
use the constant growth formula using D3 as the dividend to grow
P3
P3=
D3*(1+g)/(Ke-g)
D5
$
5
D6
6
D7
$
7
D8
es
8
D9
$
9
D10
$
10
D11
11
D12
es
12
D13
$
13
D14
14
15
D15
$
use the constant growth formula using D15 as the dividend to grow
P15
P15=
D15*(1+g)/(Ke-g)
Transcribed Image Text:Q5-2 MEGG Inc. just paid a dividend of $2.00 per share on its stock. The dividends are expected to grow at a constant 6 percent per year indefinitely. If investors require a 13 percent return on the stock, what is the current price? What will the price be in 3 years? In 15 years? Do g Ke Po #DIV/0! todays price What will the price be in? This is a dividend constant growth valuation problem. see text p. 209 for formula Po= end of year 3 D1 D2 $ $ D1 $ Price at the end of year 15 D2 D3 2.12 $ Ke is required return of investor g is the constant growth rate of dividends in perpetuity Do is the current dividend D3 $ 2.25 $ D4 2.38 $ Do*(1+g)/(Ke-g) 4 use the constant growth formula using D3 as the dividend to grow P3 P3= D3*(1+g)/(Ke-g) D5 $ 5 D6 6 D7 $ 7 D8 es 8 D9 $ 9 D10 $ 10 D11 11 D12 es 12 D13 $ 13 D14 14 15 D15 $ use the constant growth formula using D15 as the dividend to grow P15 P15= D15*(1+g)/(Ke-g)
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