ABC Corp.has a market value of $$600$ million and $30$ million shares outstanding.XYZInc. has a market value of $$200$ million and $20$ million shares outstanding.ABC is contemplating acquiring XYZ$.$ABC's CFO concludes that the combined firm with synergy will be worth $$1$ billion and XYZ can be acquired at a premium of $$150$ million.

A$)$If ABC offers $15$ million shares to exchange for the $20$ million shares ofXYZ, what will the post$-$acquisition stock price of ABC be$?$

B$)$To make the value of stock offer equivalent to a cash offer of $$300$million, what would be the proper exchange ratio of the two stocks