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Smith enterprise can acquire Miller inc for $250000 in either cash or stock. Both companies are 100% equity financed. the synergy value of the acquisition for smith is $35000. Currently smith has 2500...

Smith enterprise can acquire Miller inc for $250000 in either cash or stock. Both companies are 100% equity financed. the synergy value of the acquisition for smith is $35000. Currently smith has 25000 shares outstanding which trade at $29 a share, whereas miller has 15000 shares outstanding that trade at 14 a share.

How many shares would be given to Miller's shareholders in a stock financed deal and

what would be the exchange ratio in a pure stock exchange merger?

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Answer #1

Let the number of shares offered by Smith to Miller be K

Smith's Stock Price = $ 29 and Miller's Stock Price = $ 14

Therefore, Miller's Value = 14 x Number of Shares Outstanding = 14 x 15000 = $ 210000

Number of Smith Shares Outstanding = 25000 and Smith's Synergy gains = $ 35000

Therefore, K x 29 - 210000 = 35000

K = (210000 + 35000) / 29 = 8448.27586 ~ 8449

Exchange Ratio = 8449 / 15000 = 0.56322

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