In: Finance
Investors require a 17% rate of return on Levine Company's stock (i.e., rs = 17%).
What is its value if the previous dividend was D0 = $3.00 and investors expect dividends to grow at a constant annual rate of (1) -2%, (2) 0%, (3) 4%, or (4) 12%? Do not round intermediate calculations. Round your answers to two decimal places.
(1) $
(2) $
(3) $
(4) $
The question is solved using the dividend discount model.
1.Information provided:
Current dividend= $3.00
Required rate of return= 17%
Growth rate= -2%
Price of the stock today=D1/(r-g)
where:
D1=next dividend payment
r=interest rate
g=firm’s expected growth rate
Price of stock today= $3*(1 -0.02)/ 0.17 + 0.02
= $2.94/ 0.19
= $15.47.
Therefore, the value of the stock at -2% growth rate is $15.47.
2.Information provided:
Current dividend= $3.00
Required rate of return= 17%
Growth rate= 0%
The question is solved using the dividend discount model.
Price of the stock today=D1/(r-g)
where:
D1=next dividend payment
r=interest rate
g=firm’s expected growth rate
Price of stock today= $3*(1+ 0)/ 0.17 – 0
= $3/ 0.17
= $17.65.
Therefore, the value of the stock at 0% growth rate is $17.65.
3.Information provided:
Current dividend= $3.00
Required rate of return= 17%
Growth rate= 4%
The question is solved using the dividend discount model.
Price of the stock today=D1/(r-g)
where:
D1=next dividend payment
r=interest rate
g=firm’s expected growth rate
Price of the stock today= $3*(1 + 0.04)/ 0.17- 0.04
= 3.12/ 0.13
=$24
Therefore, the value of the stock at 4% growth rate is $24.
4.Information provided:
Current dividend= $3.00
Required rate of return= 17%
Growth rate= 12%
The question is solved using the dividend discount model.
Price of the stock today=D1/(r-g)
where:
D1=next dividend payment
r=interest rate
g=firm’s expected growth rate
Price of the stock today= $3*(1+0.12)/ 0.17 – 0.12
= $3.36/ 0.05
= $67.20.
Therefore, the value of the stock at 12% growth rate is $67.20.
In case of any further queries, kindly comment on the solution.