In: Finance
Consider the following premerger information about a bidding firm (Firm B) and a target firm (Firm T). Assume that both firms have no debt outstanding.
| Firm B | Firm T | |||||
| Shares outstanding | 6,000 | 1,200 | ||||
| Price per share | $ | 47 | $ | 17 | ||
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Firm B has estimated that the value of the synergistic benefits from acquiring Firm T is $9,500. Firm T can be acquired for $19 per share in cash or by exchange of stock wherein B offers one of its share for every two of T's shares. |
| Are the shareholders of Firm T better off with the cash offer or the stock offer? | ||||
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At what exchange ratio of B shares to T shares would the shareholders in T be indifferent between the two offers? (Do not round intermediate calculations and round your answer to 4 decimal places, e.g., 32.1616.) |
| Exchange ratio |
| Solution | |||||
| Assuming share is given | |||||
| Value of share of B firm is $47 | |||||
| Value of share of B firm is $17 | |||||
| Excahnge ratio is 1:2 | |||||
| NO of share in Firm B | 6000 | ||||
| NO of share in Firm t | 1200 | ||||
| NO of share to be given to firm T =1200*1/2 | |||||
| =600 shares of firm B | |||||
| which value is $47*600 | |||||
| $28,200 | |||||
| Assuming cash is given | |||||
| Firm B give $19 per share held in firm B | |||||
| =1200*19 | |||||
| $22,800 | |||||
| Share is better option | |||||
| Exchange ratio for indifferent two offers are | |||||
| =28200-22800 | |||||
| $5,400 | |||||
| NO of share to be reduced for beak even no. of share | |||||
| =$5400/47 | |||||
| 114.8936 | Approx 115 share | ||||
| As perivous share no. given is 600 | |||||
| now, | |||||
| =600-115 | |||||
| 485 shares | |||||
| Exchange ratio should be = 485/6000 | |||||
| 0.080833333 | |||||
| Exchange ratio should be 1:12 | |||||