Question

Suppose you know a company's stock currently sells for $90 per share and the required return on the stock is 9 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, the current dividend is $_______ per share.

Answer 1

$3.72

Step-by-step explanation:

in order to determine the price of the stock we use the dividend discount model:

P₀ = Div₁ / (Re - g)

• P₀ = $90
• Div₁ = ?
• Re = 9%
• g = 9% / 2 = 4.5%

Div₁ = P₀ x (Re - g)

Div₁ = $90 x (9% - 4.5%) = $90 x 4.5% = $4.05

now the current dividend (Div₀) = Div₁ / (1 + Re) = $4.05 / (1 + 9%) = $4.05 / 1.09 = $3.7156 = $3.72