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Harrods PLC has a market value of £139 million and 5 million shares outstanding

Finance

Harrods PLC has a market value of £139 million and 5 million shares outstanding. Selfridge Department Store has a market value of £41 million and 2 million shares outstanding. Harrods is contemplating acquiring Selfridge. Harrods's CFO concludes that the combined firm with synergy will be worth £195 million and Selfridge can be acquired at a premium of £10 million.

 

a. If Harrods offers 1.2 million shares of its stock in exchange for the 2 million shares of Selfridge, what will the stock price of Harrods be after the acquisition? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

 

New stock price         £   

 

b. What exchange ratio between the two stocks would make the value of a stock offer equivalent to a cash offer of £51 million? (Do not round intermediate calculations and round your answer to 4 decimal places, e.g., 32.1616.)

 

Exchange ratio           to 1

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a) Computation of Stock price of Harrods be after the acquisition:

Number of shares after acquisition  = Current number of shares outstanding for the acquiring firm + Number of new shares created for acquisition

= 5 million + 1.2 million 

= 6.2 million

 

New Stock Price = Market Value of combined entity/Number of shares after acquisition

 = 195 million/6.2 million 

= 31.45 per pound

 

 

b) Computation of Exchange Ratio between the two stocks would make the value of a stock offer equivalent to a cash offer of ?51 million:

a*195 million = 51 million

a = 26.15%

 

Ownership = New shares issued /(New shares issued + Current shares of acquiring firm)

26.15% = New shares issued /(New shares issued + 5 million)

26.15%*(New shares issued + 5 million) = New shares issued

26.15%*New shares issued + 1.3077 million = New shares issued

1.3077 million = New shares issued-26.15%*New shares issued

1.3077 million = 73.846%*New shares issued

1.3077 million/73.846% = New shares issued

New shares issued = 1.7708 million

 

Exchange Ratio = New shares issued/ Existing shares in target firm

 =  1.7708/2 

Exchange Ratio = 0.89 to 1