New Markets Stabilization Act This bill modifies provisions of the new markets tax credit (NMTC). Specifically, it increases and extends the NMTC limitation through 2022 and allows a carryback of the credit for five years. The bill also exempts the NMTC from the 75% general business credit limitation, revises debt modification rules for NMTC issuers and borrowers, and permanently exempts the NMTC from the alternative minimum tax.