Question

Yellowstone Corporation has just announced the repurchase of $125,000 of its stock. The company has 39,000 shares outstanding and earnings per share of $3.29. The company stock is currently selling for $76.09 per share. What is the price–earnings ratio after the repurchase?

Answer 1

The price–earnings ratio after the repurchase is 22.18

Step-by-step explanation:

First calculate Numbers of new shares

New Shares = Old Shares - ( Repurchased Shares / Price per share )

New Shares = 39,000 - ( $125,000 / $76.09 )

New Shares = 39,000 - 1,642.79

New Shares = 37,357.21 shares

New compute the old earning

Old Earning = EPS x Numbers of old shares = $3.29 x 39,000 = $128,310

New compute revised Earning per share

Revised EPS = Earning / New shares = $128,310 / 37,357.21 shares = $3.43

Now we need to calculate the Price earning ratio

P/E Ratio = Price per share / Revised earning per share = $76.09 / $3.43 = 22.18 times