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Company A has 10 million shares trading at a price of $9m, as investors view it should be $10 or $8 with equal probabilities. However,

Company A has 10 million shares trading at a price of $9m, as investors view it should be $10 or $8 with equal probabilities. However, its management knows the true value per share is $10. The company is planning the acquisition of company T, which has 4 million shares trading at $15. Advisors tell company A it will have to pay a 20% premium for company T's shares over their current price. The acquisition would create synergies worth $15m. If the deal is to go through, company A will pay company Ts shareholders with new shares of company A.

As a benchmark, assume markets also know true value per share to be $10.

a. What will be As market capitalization after acquiring T? What fraction of its equity will be held by former T shareholders? What will be its value? What fraction of shares will As existing shareholders retain? What will be its value? What gains will As shareholders (as a group) and Ts shareholders (as a group) realize respectively in the acquisition?

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