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<TYPE>CORRESP
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<FILENAME>filename6.txt
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                         [UBS Securities LLC Letterhead]

October 22, 2004

Securities and Exchange Commission
Judiciary Plaza
450 Fifth Street, N.W.
Washington, D.C.  20549

Attn:    Division of Investment Management

Re:      Eaton Vance Enhanced Equity Income Fund
         Form N-2 Registration Statement (File No. 333-118180)

Dear Sir or Madam:

In connection with the above-referenced Registration Statement, and pursuant to
Rule 461 under the Securities Act of 1933, UBS Securities LLC, as representative
of the several Underwriters, hereby joins the above-referenced registrant in
requesting that the effective date of such Registration Statement be accelerated
so that it will be declared effective by 2 p.m. EST on October 25, 2004, or as
soon thereafter as possible.

The following information with respect to the expected approximate distribution
of Preliminary Prospectuses dated September 24, 2004, and distributed between
September 24, 2004, and October 22, 2004, is furnished pursuant to Rule 460
under the Securities Act of 1933:

EATON VANCE ENHANCED EQUITY INCOME FUND
<TABLE>
                                                                   No. of Copies
                                                                   -------------
<S>                                                                <C>
To Individuals / Institutions / Prospective Underwriters                 154,475
To Statistical, Public Services, NASD, NYSE                                   25
                                                                   -------------
TOTAL                                                                    154,500
</TABLE>

With respect to Rule 15c2-8 under the Securities Exchange Act of 1934 (the
"Rule"), we wish to advise the Commission that the Underwriters will distribute
copies of the Preliminary Prospectus to any person who is expected to receive a
confirmation of sale at least 48 hours prior to the date we expect to mail such
confirmations. Selected dealers, if any, represent that they will comply with
the Rule.


Yours truly,

UBS SECURITIES LLC


By: /s/ John Key
    ------------
     John Key
     Director


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