Question

West Side Corporation is expected to pay the following dividends over the next four years: $16, $12, $11, and $7.50. Afterward, the company pledges to maintain a constant 6 percent growth rate in dividends forever. If the required return on the stock is 16 percent, what is the current share price?
a. $63.27.
b. $61.40.
c. $68.82.
d. $65.17.
e. $60.11.

Answer 1

Answer:

$77.81

Explanation:

We are given that West Side Corporation is expected to pay the following dividends over the next four years: $16, $12, $11, and $7.50.

Required rate - 16%

Growth rate = 6%

We are supposed to find the current share price

Formula :$P_0=\sum_{t=0}^{T}\frac{D_T}{(1+r)^t}+\frac{D_{T+1}}{r-G}(1+r)^{-T}$

D = Dividends

t = time

r = required rate

G= Growth rate

Substitute the values in formula :

$P_0=\frac{16}{(1+0.16)^1}+\frac{12}{(1+0.16)^2}+\frac{11}{(1+0.16)^3}+\frac{7.50}{(1+0.16)^4}+\frac{7.50(1+0.06)}{0.16-0.06}(1+0.16)^{-4}\\P_0=77.81$