# Question

Assume the following:

â€¢ The investorâ€™s required rate of return is 13.5 percent,

â€¢ The expected level of earnings at the end of this year (E1) is $6.00,

â€¢ The retention ratio is 50 percent,

â€¢ The return on equity (ROE) is 15 percent (that is, it can earn 15 percent on reinvested earnings), and

â€¢ Similar shares of stock sell at multiples of 16.667 times earnings per share.

Questions:

a. Determine the expected growth rate for dividends.

b. Determine the price/earnings ratio (P/E1) using Equation (10â€“5a).

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 company increased its retention rate to 60 percent (holding all else constant)? What would happen to the P/E ratio (P/E1) and stock price if the company paid out all its earnings in the form of dividends?

f. What have you learned about the relationship between the retention rate and P/E ratios?

â€¢ The investorâ€™s required rate of return is 13.5 percent,

â€¢ The expected level of earnings at the end of this year (E1) is $6.00,

â€¢ The retention ratio is 50 percent,

â€¢ The return on equity (ROE) is 15 percent (that is, it can earn 15 percent on reinvested earnings), and

â€¢ Similar shares of stock sell at multiples of 16.667 times earnings per share.

Questions:

a. Determine the expected growth rate for dividends.

b. Determine the price/earnings ratio (P/E1) using Equation (10â€“5a).

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 company increased its retention rate to 60 percent (holding all else constant)? What would happen to the P/E ratio (P/E1) and stock price if the company paid out all its earnings in the form of dividends?

f. What have you learned about the relationship between the retention rate and P/E ratios?

## Answer to relevant Questions

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