Gamma Industries has net income of $1,300,000, and it has 435,000 shares of common stock outstanding. The company's stock currently trades at $41 a share. Gamma is considering a plan in which it will use available cash to repurchase 30% of its shares in the open market at the current $41 stock price. The repurchase is expected to have no effect on net income or the company's P/E ratio. What will be its stock price following the stock repurchase? Do not round intermediate calculations. Round your answer to the nearest cent.
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Figures in millions (m).
Net income = 1.3 m
Number of shares outstanding = 0.435m
The current price per share =$41
Price to earnings ratio =
(Price per share x number of shares outstanding)/net income
=(41*0.435)/1.3
= 13.72
Price to earnings ratio remains the same.
Net income is not affected.
Number of shares outstanding decreases = 0.435×(1-0.3) =0.3045 m
The new price per share = Np
P/E =
(New Price per share x new number of shares outstanding)/net income
13.72 =(Np*0.3045)/1.3
Np =$58.57
Stock price following the stock repurchase is $58.57
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