Question

Moody Farms just paid a dividend of $4.00 on its stock. The growth rate in dividends is expected to be a constant 6 percent per year indefinitely. Investors require a return of 15 percent for the first three years, a return of 13 percent for the next three years, and a return of 11 percent thereafter. What is the current share price?

Answer 1

the current share price is $73.31

Step-by-step explanation:

The computation of the current share price is shown below:

P0 = [{D0 × (1 + g)} ÷ (1 + r1)] + [{D0 × (1 + g)^2} ÷ (1 + r1)^2] + [{D0 × (1 + g)^3} ÷ (1 + r1)^3] + [{D0 × (1 + g)^4} ÷ {(1 + r1)^3(1 + r2)}] + [{D0 × (1 + g)^5} ÷ {(1 + r1)^3(1 + r2)^2] + [{D0 × (1 + g)^6} ÷ {(1 + r1)^3(1 + r2)^3] + [{D0 × (1 + g)^7} ÷ {(rC - g)(1 + r1)^3(1 + r2)^3]

= [($4 × 1.06) ÷ 1.15] + [($4 × 1.062) ÷ 1.152] + [($4 × 1.063) ÷ 1.153] + [($4 × 1.064) ÷ (1.153 × 1.13)] + [($4 × 1.065) ÷ (1.153 × 1.132)] + [($4 × 1.066) ÷ (1.153 × 1.133)] + [($4 × 1.067) ÷ {(0.11 - 0.06)(1.153 × 1.133)}]

= $3.69 + $3.40 + $3.13 + $2.94 + $2.76 + $2.59 + $54.82

= $73.31

hence, the current share price is $73.31