Question

A company just paid a $2 dividend per share. The dividend growth rate is expected to be constant at 10% for 2 years, after which dividends are expected to grow at a rate of 3% forever. If the company’s required return (rs) is 11%, what is its current stock price?

Answer 1

Answer:

Do =  $2.00

D1= Do(1+g)1 =  $2(1+0.1)1 = $2.20

D2= Do(1+g)2 = $2(1+0.1)2 = $2.42

PHASE 1

V1 = D1/1+ke + D2/(1+ke)2  

V1 = 2.20/(1+0.11) + 2.42/(1+0.11)2  

V1 = $1.9820 + $1.9641

V1 = $3.9461

PHASE 2

V2 = DN(1+g)/ (Ke-g )(1+k e)n                                                                                                                                                                                                                                        V2 = $2.42(1+0.03)/(0.11-0.03)(1+0.11)2      

V2 = $2.4926/$0.0649

V2 = $38.4068

The current stock price is calculated as follows:

Po = V1 + V2

Po = $3.9461 + $38.4068

Po = $42.35

Explanation: This question relates to valuation of shares with 2-phase growth model.  The value of shares in the first phase will be determined by discounting the dividend for the 2 years by cost of equity. The dividends for year 1 and year 2 were obtained by subjecting the current dividend paid (Do) to growth rate.  

Moreso, the value of shares for the second phase was calculated by considering the last dividend paid(D2) and then subject it to the new growth rate. The adjusted dividend was then capitalized at the appropriate discount rate of the company.