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Firm A is considering a merger/acquisition with Firm B. Firm A: Market value of

ID: 2817032 • Letter: F

Question

Firm A is considering a merger/acquisition with Firm B.

Firm A:

Market value of debt: $2 million

Market value of equity: $4 million

Number of shares: 200,000

Firm B:

Market value of debt: $5 million

Market value of equity: $5 million

Number of shares: 500,000

Investment rate for the combined firm (bA+B): 70%

WACC for the combined firm (WACCA+B): 10%

Total net operating income before synergy gain: (X): $3 million

Synergy rate (a): 15%

Corporate tax rate (T): 40%

Growth rate for the combined firm (g): 14.4%

Number of years for the growth: 10

According to the Weston/Copeland model, what is the total synergy gain from the merger?

Select one:

a. $29.22 million

b. $30.09 million

c. $33.67 million

d. $26.81 million

Explanation / Answer

Introduction :- The problem is related to mergers and acquisitions where A acquires B or B Merges with A. In the above Problem they have provided details :-

The net operating income before synergy gain is $3000000

Net Operating Income After Synergy gain and Tax 2070000

The growth rate for the combined firm (g)=14.4% and N=10 Years

Since A has acquired B because the share value of A is more than B 20>10 hence the share value will increase be $20 for both A and B. Hence the total synergy gain will be $26.81 million

Market Value of Shares (Value of each share) --Firm B 5000000/500000=$10 Market Value of debt---Firm B $5000000 Market Value of Shares-- Firm A $20 Market Value of debt---Firm A $2000000 Investment rate combined A+B 70% WACC Combined 10% Growth Rate 14.4%