Omega Inc. is considering an acquisition of a target whose market capitalization is currently $3$ billion dollars. The acquisition will produce $$60$ million annual after$-$tax saving of production cost. This cost reduction will happen in three years and to grow at the rate of inflation $(2\%).$ In addition, the CFO expects that the acquisition will create an after$-$tax integration cost of $$250$ million. Assume the one$-$time integration cost will occur in two years. The current discount rate of the acquirer is $8\%.$

 

 

what  will be The NPV of the synergies associated with this acquisition ?