Question

Firm A is being acquired by Firm B for $35,000 worth of Firm B stock. The incremental value of the acquisition is $2,500. Firm A has 2,000 shares of stock outstanding at a price of $16 a share. Firm B

has 1,200 shares of stock outstanding at a price of $40 a share. What is the actual cost of
the acquisition using company stock ?
a) $34,750 b) $34,789 c) $35,000 d) $35,289 e) $35,500

Answer 1

option (b) $34,789

Step-by-step explanation:

Data provided in the question:

Worth of Firm A = $35,000

Incremental value of the acquisition = $2,500

Number of shares of Firm A outstanding = 2,000

Price of Firm A shares = $16 per share

Number of shares of Firm B outstanding = 1,200

Price of Firm B shares = $40 per share

Now,

Number of shares issued = Worth of Firm A ÷ Price per share of Firm B

= $35,000 ÷ $40

= 875 shares

Value per share after merger

= [ (1,200 × $40) + ( 2,000 × $16 ) + $2,500 ] ÷ [ 1,200 + 875 ]

= $82,500 ÷ 2,075

= $39.759

Therefore,

The Actual cost of acquisition

= Number of shares issued × Value per share after merger

= 875 × $39.7588

= $34788.95 ≈ $34,789

Hence,

The answer is option (b) $34,789