Nuveen New York Premium Income Municipal Fund, Inc., formerly Nuveen Insured New York Premium Income Municipal Fund, Inc. (the Fund) is a closed-end management investment company. The Fund seeks to provide current income exempt from regular federal, and New York State and New York City income tax and to enhance portfolio value. It also The Fund invests at least 80% of its net assets in a diversified portfolio of tax-exempt municipal securities. The Fund may invest up to 20% of its net assets in municipal securities. The Fund may invest in certain derivative investments in pursuit of its investment objectives. The Fund invests in sectors, such as tax obligation/limited, education and civic organizations, healthcare, transportation and United States Guaranteed. The Fund's advisor is Nuveen Fund Advisors, Inc. and its sub-adviser is Nuveen Asset Management, LLC.