I might be missing something here, but… It is about the calculation of the economic impact for the target shareholders after a stock offer for an acquisition.
Their solution is as follows:
Value of Fedora and Ubunta post cash acquisition (given) = $135 million.
Value of Fedora and Ubunta post stock acquisition = $135 million + $90 million cash = $225 million.
Number of shares outstanding post stock acquisition = 5 + 3 = 8 million.
Value of shares received based on their likely post-acquisition price = [(225m) / 8m] × 3m = $84,375,000.
Gain to Debian’s shareholders is therefore $84,375,000 - $85,000,000 = -$625,000.
Now what I didn’t get it is, why are we adding the $90 million cash to the combined value of the firm post-merger if it was a stock acquisition (and thereafter, there was no $90m cash payment - just the issuance of 3m new shares)?