Indexo Group is evaluating the opportunity to acquire TGT Inc . Neither company
ID: 2744041 • Letter: I
Question
Indexo Group is evaluating the opportunity to acquire TGT Inc . Neither company has any outstanding long-term debt . Indexo Group has a total market value of $ 500 million and 250 million shares outstanding; TGT has a total market value of $150 million and 50 million shares outstanding. Indexo further estimate s that if its offer is accepted, the combined firm value after the merger will be $ 700 million.
A) What is the value of merger gain?
B) What is the range of a reasonable exchange ratio?
C ) I f the exchange ratio is 1.5 , what is the NPV of the merger?
D) If Indexo wants to acquire 80% of the merger gain ( as calculated in part A) , what should be the exchange ratio?
Explanation / Answer
A) Value of merger gain = Combined firm value after merger - ( Premerger market value of Indexo Group + Premerger market value of TGT)
Value of merger gain = 700 - ( 500 + 150) = $50 million
B) Exchange Ratio = Value per share of Indexo / Value per share of TGT
Value per share of Indexo = Total market value / Shares outstanding = 500 / 250 = 2
Value per share of TGT = 150 / 50 = 3
Exchange Ratio = 2 : 3
C) Exchange ratio = 1.5
NPV of the merger = Gains from merger - Cost of merger
Gains from merger = $ 50 million
Exchange ratio = 1.5 = 3 / 2
Cost of merger = [1.5 * (Combined firm value after merger)] - TGT market value premerger
Cost of merger = [1.5 * (700) ] - 150 = 900
NPV of merger = 50 - 900 = -850