Question

Brickhouse is expected to pay a dividend of $2.85 and $2.34 over the next two years, respectively. After that, the company is expected to increase its annual dividend at 3.3 percent. What is the stock price today if the required return is 10.7 percent

Answer 1

Answer:

The stock price is $31.14

Explanation:

The value of Brickhouse stock today is the present values of future cash flows from the stock discounted using the required rate of return of 10.7% as the discount  rate as done below:

Years               cash flows  discount factor                        Present values

1                            $2.85     1/(1+10.7%)^1=0.903342367        $2.57

2                            $2.34    1/(1+10.7%)^2=0.816027432         $1.91

3 & beyond          *$32.67  1/(1+10.7%)^2=0.816027432         $ 26.66  

                                                             total present values= $31.14

* the year 3 and beyond represents the terminal value of the stock,which is computed using the formula below

=D2*(1+g)/r-g

D2 is the year dividend of $2.34

g is the dividend growth rate of 3.3%

r is the required rate of return which 10.7%

terminal value=$2.34*(1+3.3%)/(10.7%-3.3%)

                        =2.41722 /0.074 =$32.67