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PRESS RELEASE                                 SOURCE:  First Trust Advisors L.P.


FIRST TRUST ADVISORS L.P. ANNOUNCES PORTFOLIO MANAGER UPDATE CALL FOR FIRST
TRUST ENHANCED EQUITY INCOME FUND

WHEATON, IL -- (BUSINESS WIRE) -- June 6, 2012 -- First Trust Advisors L.P.
("FTA") announced today that First Trust Enhanced Equity Income Fund (NYSE: FFA)
intends to host a conference call with Chartwell Investment Partners, L.P.
("Chartwell"), the Fund's investment sub-advisor, on THURSDAY, JUNE 21, 2012, AT
4:15 P.M. EASTERN TIME. The purpose of the call is to hear the Fund's portfolio
management team provide an update for the Fund.

--  Dial-in Numbers: (866) 865-6631; International (706) 679-1727; and
    Passcode # 82734386. Please call 10 to 15 minutes before the scheduled
    start of the teleconference.

--  Telephone Replay: (800) 585-8367; International (404) 537-3406; and
    Passcode # 82734386. The replay will be available after the call until
    11:59 P.M. Eastern Time on July 21, 2012.

FTA has served as the Fund's investment advisor since the Fund's inception. FTA,
along with its affiliate, First Trust Portfolios L.P., are privately-held
companies which provide a variety of investment services, including asset
management and financial advisory services, with collective assets under
management or supervision of over $53 billion as of May 31, 2012 through unit
investment trusts, exchange-traded funds, closed-end funds, mutual funds and
separate managed accounts.

If you have questions about the Fund that you would like answered on the call,
please email your questions to cefquestions@ftadvisors.com and refer to FFA by
Tuesday, June 19, 2012, 6:00 P.M. Eastern Time. The Fund's daily closing New
York Stock Exchange price and net asset value per share as well as other
information can be found at www.ftportfolios.com or by calling (800) 988-5891.


CONTACT:  JEFF MARGOLIN - (630) 915-6784

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Source:  First Trust Advisors L.P.