Question

DT Motors paid its first annual dividend yesterday in the amount of $.15 a share. The company plans to double the dividend in each of the next 3 years. Starting in Year 4, the firm plans to pay $1.50 a share indefinitely. What is one share of this stock worth today if the market rate of return on similar securities is 13.8 percent?

Answer 1

Answer:

Price = $8.92

Explanation:

Dividend from yr1 to yr3 will be multiplied by 2 since it doubles per year;

D1 = $0.15*2 = $0.30

D2 = $0.30 *2 = $0.60

D3 = $0.60 *2 = $1.20

D4 (onwards) = $1.50

Next, find the present value (PV) of each dividend;

PV(D1) = 0.30/(1.138) = 0.2636

PV (D2) = 0.60/(1.138²)= 0.4633

PV(D3 ) = 1.20/ (1.138³) = 0.8142

PV(D4 onwards) = $\frac{[\frac{1.50}{0.138} ]}{1.138^{3} }$ = 7.3754

To find the price of the stock today, sum up present values above;

= 0.2636 + 0.4633 + 0.8142 + 7.3754

Price = $8.92