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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.
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