Problem 9-12 Calculation of g and EPS Spencer Supplies\'s stock is currently sel
ID: 2659771 • Letter: P
Question
Problem 9-12
Calculation of g and EPS
Spencer Supplies's stock is currently selling for $60 a share. The firm is expected to earn $5.70 per share this year and to pay a year-end dividend of $2.70.
Spencer Supplies's stock is currently selling for $60 a share. The firm is expected to earn $5.70 per share this year and to pay a year-end dividend of $2.70. If investors require a 9.5% return, what rate of growth must be expected for Spencer? If Spencer reinvests earnings in projects with average returns equal to the stock's expected rate of return, then what will be next year's EPS? (Hint: g = ROE times Retention ratio.)
Explanation / Answer
1.Price = D1/(r-g) 60= 2.7/(9.5%-g) g= 5.00% rate of growth must be expected for Spencer= 5.00% 2. ROE = 9.5% Retention ratio = (5.7-2.7)/5.7= 52.63% g= 9.5%*52.63% = 5.00% next year's EPS = 5.7*(1+5%) =$5.99