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(Cash for Stock Merger) This problem requires that you integrate the material le

ID: 2625128 • Letter: #

Question

(Cash for Stock Merger) This problem requires that you integrate the material learned in prior chapters. You have been given the job of evaluating the following merger candidate. You have collected the following cash flow estimates for the acquisition candidate for the proposed merger (in millions):

Year      1                            2                            3                            4                            5__

Cash flows now for the target 60                         80                    100                         125                         150

Additional cash flows (synergy)  40                     70                           100                         125                         150

Total cash flows (after merger) 100    150 200                         250                         300

Risk free rate of return                                                                                                       4%

Beta for this project (the company after merging) 1.47       

Market risk premium 5%         

Pre-tax cost of debt 8%

Marginal after tax rate                                                                                                        25%

Number of shares outstanding for the target company (millions) 10          

Current market price per share for the target company $51        

Percentage of the acquisition financed with debt 40%

Percentage of the acquisition financed with common equity 60%      

What is the after tax cost of debt for this merger (as we did in chapter 16)?

What is the after tax cost of common equity for this merger (as we did in chapter 16)?

What is the weighted average cost of capital for this acquisition candidate (as we did in chapter 16)?

Please run a net present value using the WACC calculated above with the total cash flows from the target (given above) to determine the maximum price per share you are willing to pay for this target candidate?

Explanation / Answer

1)

after cost of debt = 8% * (1-0.25) = 6%

2)after tax cost of common equity = 4% + 1.47 * 5% = 11.35%

3)

WACC = 40% * 6% + 60% * 11.35% = 9.21%


4)

NPV = 100/1.0921 + 150/1.0921^2 + 200/1.0921^3 + 250/1.0921^4 + 300/1.0921^5

= 739.74 million


maximum price per share = 739.74/10 = 73.97