Rural Microbusiness Investment Credit Act of 2014 - Amends the Internal Revenue Code to allow a business-related tax credit for 35% of new investment in a rural microbusiness. Imposes limits on such credit for businesses and individual taxpayers.

Defines: (1) "rural microbusiness" as a trade or business that employs not more than 5 full-time employees in a taxable year and is carried on, and physically located, in a distressed rural area; and (2) "distressed rural area" as an area that has lost at least 5% of its population over the last 10 years or 10% of its population over the last 20 years, that has a median family income below 85 % of the national median family income, that has a poverty rate that exceeds 12.5%, or where average unemployment in the preceding year exceeds 120% of the national average.