Assume the following:

the investor's required rate of return is 15 percent,

the expected level of earnings at the end of this year (E1) is $10,

the retention ratio is 50 percent,

the return on equity (ROE) is 19 percent (that is, it can earn 19 percent on reinvested earnings), and

similar shares of stock sell at multiples of 9.091 times earnings per share.

Questions:

a.Determine the expected growth rate for dividends.

b.Determine the price earnings ratio (P/E1).

c.What is the stock price using the P/E ratio valuation method?

d.What is the stock price using the dividend discount model?

e.What would happen to the P/E ratio (P/E1) and stock price if the firm could earn 24 percent on reinvested earnings (ROE)?

f.What does this tell you about the relationship between the rate the firm can earn on reinvested earnings and P/E ratios?