Answer:
a. Compute the current price of the stock.
P/E ratio = 10
EPS = $5,000,000 / 2,000,000 stocks = $2.50 per stock
price = $2.50 x 10 = $25
b. If the $5 million is used to pay dividends, how much will dividends per share be?
$2.50, same as EPS
c. If the $5 million is used to repurchase shares in the market at a price of $30 per share, how many shares will be acquired?
$5,000,000 / $30 = 166,666.7 ≈ 166,667 stocks
d. What will the new earnings per share be?
outstanding stocks = 2,000,000 - 166,667 = 1,833,333
EPS = $5,000,000 / 1,833,333 = $2.73
e-1. If the P/E ratio remains constant, what will the price of the securities be?
price = $2.73 x 10 = $27.30
e-2. By how much, in terms of dollars, did the repurchase increase the stock price?
$27.30 - $25 = $2.30
f. Has the stockholders' total wealth changed as a result of the stock repurchase as opposed to receiving the cash dividend?
No
