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World Enterprises is determined to report earnings per share of $2.80. It therefore acquires the Wheelrim...

World

Enterprises is determined to report earnings per share of $2.80. It therefore acquires the Wheelrim and Axle Company. There are no gains from merging. In exchange for Wheelrim and Axle shares, World Enterprises issues just enough of its own shares to ensure its $2.80 earnings per share objective.


a. Complete the table below for the merged firm. (Do not round intermediate calculations. Round "Price per share" and "Price-earnings ratio" to 2 decimal places and other answers to the nearest whole number.)

World Enterprises Wheelrim and Axle Merged Firm
Earnings per share $2.00 $3.00 $2.80
Price per share $30 $15
Price-earnings ratio 15 5
Number of shares 290,000 390,000
Total earnings $580,000 $1,170,000
Total market value $8,700,000 $5,850,000


b. How many shares of World Enterprises are exchanged for each share of Wheelrim and Axle?


c. What is the cost of the merger to World Enterprises? (Do not round intermediate calculations. Round your answer to the nearest whole dollar.)


d. What is the change in the total value of the World Enterprises shares that were outstanding before the merger? (Do not round intermediate calculations. Round your answer to the nearest whole dollar. Enter your answer as a positive value.)

Solutions

Expert Solution

a- World Enterprises Wheelrim and Axle Merged Firm
Earnings per share $2.00 $3.00 $2.80
Price per share $30 $15 23.28
Price-earnings ratio 15 5 $8.31
Number of shares 290,000 390,000 625000
Total earnings $580,000 $1,170,000 $1,750,000
Total market value $8,700,000 $5,850,000 $14,550,000
No of shares 2.80 = 1750000/number of shares number of shares = 1750000/2.8 625000
Price per share total market value/no of shares after merger 14550000/625000 23.28
PE ratio market price/EPS 23.28/2.8 8.31
total market value 8700000+5850000 14550000
Total earnings 580000+1170000 1750000
b- No of total share after merger 625000
Shares issued before merger 290,000
new shares issued 335,000
shares exchanged per share 335000/390000 0.86
c- total purchase consideration new share issued*price per share 335000*23.28 7798800
less value of Wheelrim and Axle 5850000
cost of merger 1948800
d- change in market value (price after merger-price before merger)*no of shares issued before merger (30-23.28)*290000 1948800 Decrease in value

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