Problem:
Rand Co.'s current rate of return (ROE) is 14%. It pays out(payout ratio) half of its earnings as dividends. Current book value is $50 per share. Book value per share will grow as Rand reinvests earnings.
Assume ROE and payout ratio stay the same for the next 4 years. After that competition forces ROE down to 11.5% and payout increases to .8. The cost of capital is 11.5%
Required:
Question 1: What are Rand's EPS and dividends next year? How will EPS and dividends grow in years 2, 3, 4, and 5 in subsequent years?
Question 2: What is Rand's stock worth per share? How does that value depend on the payout ratio and growth rate after year 4?
Note: Please show the work not just the answer.