Find the lower bound of X

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Question - Merger and acquisition

Energy-USA plans to acquire Energy-Brazil. It offers X million shares of Energy-USA for all of Energy-Brazil's shares. The exchange rate is R$4.0000/$ around the acquisition.

 

P/E ratio

# of Shares

(after-tax) Earnings

Energy-Brazil

20

400 million

R$400 million

Energy-USA

30

250 million

$200 million

(a) Find the lower bound of X (4 decimal places) such that original Energy-Brazil shareholders would agree with the merger (assume the P/E ratio is 30 after the merger)?

(b) Find the upper bound of X (4 decimal places) such that original Energy-USA shareholders would benefit from the merger (assume the P/E ratio is 30 after the merger)?

(c) If the merger adds no extra value to both original firms, find P/E (after the merger), the value of X (4 decimal places), and the exchange ratio (4 decimal places) of the merger per Energy-Brazil share in this scenario.

(d) If X=90, and P/E=30 after the merger, calculate the value ($ million) of the synergies created by the merger and the stock return (%) of Energy-USA to the original Energy-USA shareholders.

Reference no: EM132216966

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