In: Finance
YQR has a market value of $125 million and 5 million shares outstanding. HKG has a market value of $40 million and 2 million shares outstanding. YQR thinks of taking over HKG with a premium of $10 million. The combined firm will be worth $185 million. If YQR offers 1.2 million shares of its stock in exchange for the 2 million shares of HKG, what will the stock price of YQR be after the acquisition? What exchange ratio between the two stocks would make the value of a stock offer equivalent to a cash offer of $50 million?
Stock value after acquisition = Value of combined firm / No of total shares
No of total shares = Shares od YQR + New issue to HKG
= 5,000,000 (given) + 1,200,000 (new issue)
= 6,200,000
Stock Value after acquisition = 185,000,000 / 6,200,000
= 29.84
Now,
Cash offer = Stock offer
Let the exchange ratio be X
Value of firm firm Y after acquisition = (Value per shares after acquisition) * (No of shares)
= (Value of combined firm / Total no of shares) * (2,000,000 * X)
= (185,000,000 / (5,000,000 + 2,000,000 * X)) * (2,000,000*X)
Equating it with Cash Offer
50,000,000 = (185,000,000 / (5,000,000 + 2,000,000 * X)) * (2,000,000*X)
Solving it X will be 0.9259
Exchange Ratio of 0.9259 will make the cash offer and share offer equivalent.
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