Cap the GSE Bailout Act of 2011 - Limits the funds that may be provided to the Federal National Mortgage Association (Fannie Mae), the Federal Home Loan Mortgage Corporation (Freddie Mac), or any Federal Home Loan Bank (government sponsored enterprises or GSEs) as part of the Amended and Restated Senior Preferred Stock Purchase Agreement to the greater of: (1) $200 billion; or (2) $200 billion plus the cumulative total of deficiency amounts of the GSE for calendar quarters in calendar 2010, 2011, and 2012, less any surplus amount as of December 31, 2012.