True Cost of War Act of 2013 - Directs the President, with contributions from the Secretary of Defense (DOD), the Secretary of State, and the Secretary of Veterans Affairs (VA), to provide Congress with an estimate of the long-term costs of Operation New Dawn (the successor contingency operation to Operation Iraqi Freedom) and Operation Enduring Freedom based on current contingency operation and withdrawal plans, that takes into account expected force levels and the expected length of time that members of the Armed Forces will be deployed in support of Operation Enduring Freedom.
Requires the President, in preparing such report, to make estimates and projections through at least FY2023, and to take into account specified cost factors.