Put America Back to Work Act - Amends the Internal Revenue Code, with respect to the Build America Bond program, to: (1) extend permanently the authority to issue such bonds and the authority for payments to issuers of such bonds, (2) reduce the percentage rate of payments to issuers, (3) allow refundings of currently-issued Build America bonds, and (4) allow the use of such bonds to fund capital expenditures for levees and flood control projects.