Question

Caliber Corp. currently pays no dividends because it requires its internally generated funds be used to fund a research intensive project over the next three years. The project is expected to be completed after this time and by the end of the fourth year, the company will pay its first dividend of $2.00. The dividends will be expected to grow at the rate of 20% over the following five years. After this time period, dividends will grow at the rate of 2% into the foreseeable future. Assuming you require a 15% rate of return, compute the value of this company’s stock.

Answer 1

Answer:

Do =  $2.00

D1= Do(1+g)1 =  $2(1+0.2)1 = $2.40

D2= Do(1+g)2 = $2(1+0.2)2 = $2.88

D3= Do(1+g)3 = $2(1+0.2)3 = $3.456

D4= Do(1+g)4 = $2(1+0.2)4 = $4.1472

D5= Do(1+g)5 = $2(1+0.2)5 = $4.97664

PHASE 1

V1 = D1/1+ke + D2/(1+ke)2 + D3/(1+ke)3 +D4/(1+ke)4 + D5/(1+ke)5

V1 = 2.40/(1+0.15) + 2.88/(1+0.15)2 + 3.456/(1+0.15)3 + 4.1472/(1+0.15)4 + 4.97664/(1+0.15)5

V1 = $2.0870 + $2.1777 +  $2.2723 + $2.3712 + $2.4742

V1 = $11.3824

PHASE 2

V2 = DN(1+g)/ (Ke-g )(1+k e)n                                                                                                                                                                                                                                      

V2 = $4.97664(1+0.02)/(0.15-0.02)(1+0.02)5      

V2 = $5.0762/0.1435

V2 = $35.3742

Po = V1 + V2

Po = $11.3824 + $35.3742

Po = $46.76

Explanation: This is a typical question on valuation of shares with two growth rate regimes. In the first phase, the value of the share would be obtained by capitalizing the dividend for each year by the cost of equity of the company. The dividend for year 1 to year 5 was obtained by subjecting the current dividend paid(Do) to growth rate. The growth rate In the first regime was 20%.

In the second phase, the value of shares would be calculated by taking cognizance of the second growth rate of 2%. In this phase, the last dividend paid in year 5 would be discounted at the appropriate discount rate after it has been adjusted for growth.