Question

Suppose you know a company's stock currently sells for $90 per share and the required return on the stock is 8 percent. You also know that the total return on the stock is evenly divided between a capital gains yield and a dividend yield. If it's the company's policy to always maintain a constant growth rate in its dividends, what is the current dividend per share?

Answer 1

Answer: $3.46

Explanation:

Given the following :

Current share price (P0) = $90 per share

Required return on stock= 8%

total return on the stock is evenly divided between a capital gains yield and a dividend yield ;

Therefore, Required return on stock= 8% ;

4% capital gain yield + 4% Dividend yield = 8%

Growth rate = 4% = 4/ 100 = 0.04

D1 = D0(1 + g)

D1 = value of next year's Dividend

D0 = current Dividend yield

g = Constant growth rate

D1 = current stock price * g

D1 = 90 * 0.04 = 3.6

D1 = D0(1 + g)

D0 = D1 / (1+g)

D0 = 3.6 / (1+ 0.04)

D0 = 3.6 / 1.04

D0 = $3.46