Question

Chelsea Fashions is expected to pay an annual dividend of $1.26 a share next year. The market price of the stock is $24.09 and the growth rate is 2.6 percent. What is the cost of equity?
a. 7.83 percent
b. 7.91 percent
c. 7.54 percent
d. 9.77 percent
e. 9.24 percent

Answer 1

Answer:

a. 7.83 percent

Explanation:

This is calculated by using the Gordon growth model (GGM) formula as follows:

P = d / (r - g) ……………………………………… (1)

Where;

P =  market price of the stock = $24.09

d = next year annual dividend = $1.26

r = cost of equity = ?

g = dividend growth rate = 2.6%, or 0.026

Substituting the values into equation and solve for r, we have:

24.09 = 1.26 / (r - 0.026)

24.09 (r - 0.026) = 1.26

24.09r - 0.62634 = 1.26

24.09r = 1.26 + 0.62634

24.09r = 1.88634

r = 1.88634 / 24.09

r = 0.0783038605230386, or 7.83038605230386%

Rounding to 2 decimal places. we have:

r = 7.83%

Therefore, the correct option is a. 7.83 percent.