Question

A firm pays a current dividend of $1, which is expected to grow at a rate of 5% indefinitely. If the current value of the firm’s shares is $35, what is the required return applicable to the investment based on the constant-growth dividend discount model (DDM)? (Do not round intermediate calculations.)

Answer 1

Required rate of return = 8%

Step-by-step explanation:

The price of a stock using the dividend valuation model is the present value of the the future dividend expected from the stock discounted at the required rate of return.

This model is represented as follows

D(1+g)/(r-g) = P

Price, D- dividend payable in now, ke- required rate of return, g- growth rate

35 = 1×(1.05)/ke-0.05

35 × (ke-0.05) = 1.05

35ke - 1.75 = 1.05

35Ke = 1.05 + 1.75

35ke = 2.8

ke= 2.8/35= 0.08

Ke = 0.08× 100 = 8%

Required rate of return = 8%