Neither acquiring firm A nor target firm B has any debt. The incremental value of the proposed acquisition is estimated to be $100,000. Firm B is willing to be acquired for $16 per share in cash.

Number of Shares 50,000 25,000
Price per Share $35 $13
(a) What are the synergistic benefits that arise from the acquisition of firm B?
(b) What is the Merger premium per share in this case?
(c) What is the Value of firm B to firm A?
(d) What is the NPV for acquiring firm B?
(e) What is the price per share of the merged firm after the acquisition is completed?
(c) What is the value of firm A to firm B?

(a) The synergistic benefits that arise from the acquisition of firm B = The incremental value of the proposed acquisition = $ 100,000

(b) The Merger premium per share in this case = Price paid per share of B / Current trading price of B - 1 = 16/13 - 1 = 23.08%

(c) The Value of firm B to firm A = B's stand alone valuation + synergy = (P x N) of B + Synergy = 13 x 25,000 + 100,000 =  425,000

(d) The NPV for acquiring firm B = The Value of firm B to firm A - Considertion paid to acquire B = 425,000 - 16 x 25,000 = 25,000

(e) The price per share of the merged firm after the acquisition is completed = Price before + NPV per share = 35 + 25,000 / 50,000 = 35.50

(c) The value of firm A to firm B = Value of the merged entity - value of B = (P x N) of the merged entiy - (P x N) of B = 35.50 x 50,000 - 13 x 25,000 = 1,450,000