Unfunded Mandates Accountability Act of 2014 - Revises rulemaking requirements under the Unfunded Mandates Reform Act of 1995 (UMRA) to: (1) require federal agencies to prepare and publish in the Federal Register an initial and final regulatory impact analysis prior to promulgating any proposed or final rule that may have an annual effect on the economy of $100 million or more (adjusted for inflation); (2) make consideration of the least burdensome alternative to a rule mandatory and require the selection of the least costly, most cost-effective, or least burdensome alternative; (3) extend UMRA requirements to independent regulatory agencies; and (4) expand judicial review of agency rulemaking. Exempts from UMRA requirements rules that concern monetary policy proposed or implemented by the Board of Governors of the Federal Reserve System or the Federal Open Market Committee.