Final answer:
Brendan's gain realized is $180,000, the gain recognized is $100,000, and Brendan's basis in the Fours stock is $220,000.
Step-by-step explanation:
In this case, Brendan's gain realized is the fair market value of the stock received ($100,000) plus the amount of the mortgage assumed by Fours Corp ($200,000), minus the adjusted basis of the building ($120,000). So, the gain realized is $180,000 ($100,000 + $200,000 - $120,000).
The gain recognized is the lesser of the gain realized ($180,000) or the amount of boot received ($100,000 in stock). So, the gain recognized is $100,000.
Brendan's basis in the Fours stock is the adjusted basis of the building transferred ($120,000) plus the amount of the mortgage assumed by Fours Corp ($200,000), minus the gain recognized ($100,000). Therefore, Brendan's basis in the Fours stock is $220,000 ($120,000 + $200,000 - $100,000).