Answer:
Current Stock Price = $40.66 approx.
Explanation:
Given : Last dividend i.e [tex]D_{0}[/tex] = $1.75
Growth rate i.e g = 22%
Required Rate of return i.e K = 12%
[tex]D_{1}[/tex] = 1.75 (1 + .22) = 2.135
[tex]D_{2}[/tex] = 2.135 ( 1 + .22) = 2.6047
[tex]D_{3}[/tex] = 2.6047 ( 1 + .06) = 2.7609
As per dividend growth rate model, the current stock price can be calculated as follows;
= [tex]\frac{D_{1} }{(1\ +\ K)^{1} } \ +\ \frac{D_{2} }{(1\ +\ K)^{2} } \ + \ \frac{1}{(1\ +\ K)^{2} } *\ [\frac{D_{3} }{K\ -\ g} ][/tex]
= [tex]\frac{2.135 }{(1\ +\ .12)^{1} } \ +\ \frac{2.6047 }{(1\ +\ .12)^{2} } \ + \ \frac{1}{(1\ +\ .12)^{2} } *\ [\frac{2.7609 }{.12\ -\ .06} ][/tex]
= 3.9827 + 36.6828
= $40.66
Thus, the current market price of the given stock is $40.66 approx.