Answer and Explanation:
The computation is shown below
Current price = $15
Premium = $15 × 20% = $3
Offer price = $15 + $3 = $18
The value of associated steel = $18 × 4 million shares = $72
a. The number of new shares would be
= $72 ÷ $20
= 3.6
b. The exchange ratio is
= $18 ÷ $20
= 0.9
c. Price per share after the merger is
= ((20 × 10) + (15 × 4)) ÷ (10 + 3.6)
= $19.12
d. Price per share after the annoucement is $19.12
e. Price of associated steel is
= 19.12 × 0.90
= $17.21