LM INSTITUTIONAL FUND ADVISORS I INC
485BPOS, EX-23.E.2.II, 2000-08-01
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<PAGE>

                                                            Exhibit 23(e)(2)(ii)
                                                            --------------------

                     LM Institutional Fund Advisors I, Inc.
                                100 Light Street
                              Baltimore, MD 21202


                                    July 28, 2000

Arroyo Seco, Inc.
117 East Colorado Boulevard
Pasadena, CA 91105


     Re:  The Notice of Creation of New Series of LM Institutional Fund
          Advisors I, Inc. (the "Corporation")
          -------------------------------------------------------------

     Reference is made to the Broker Agreement (the "Agreement") between the
Corporation and Arroyo Seco, Inc. ("Arroyo Seco") dated as of May 26, 1998.  The
Corporation hereby notifies Arroyo Seco that it intends to establish one
additional series of the Corporation, to be known as the Western Asset Inflation
Indexed Bond Portfolio (the "New Portfolio").  The Corporation desires to have
Arroyo Seco render services with respect to the New Portfolio as Broker under
the Agreement.  Attached as Annex I is an amended and restated Schedule A to the
Agreement.

     Please indicate your agreement to provide such services by having an
authorized officer sign the enclosed receipt copy of this notice and return it
in the enclosed self-addressed stamped envelope.  If you have any questions or
comments, please call Jason Brown, Esq. at (617) 951-7942.

Accepted:

ARROYO SECO, INC.                      LM INSTITUTIONAL FUND
                                       ADVISORS I, INC.

By:                                    By:
    ---------------------------------      --------------------------------
Title:                                 Title:
<PAGE>

                                   SCHEDULE A

Series of LM INSTITUTIONAL FUND ADVISORS I, INC.
to which Agreement Applies
<TABLE>
<CAPTION>
Portfolio and Class*                                  Date Subject to Agreement
--------------------                                  -------------------------
<S>                                                   <C>
Western Asset Government Money Market Portfolio       May 26, 1998
Western Asset Money Market Portfolio                  May 26, 1998
Western Asset Intermediate Portfolio                  May 26, 1998
Western Asset Intermediate Plus Portfolio             May 26, 1998
Western Asset Core Portfolio                          May 26, 1998
Western Asset Core Plus Portfolio                     May 26, 1998
Western Asset Inflation Indexed Bond Portfolio        July 28, 2000
Western Asset High Yield Portfolio                    May 26, 1998
Western Asset Non-U.S. Fixed Income Portfolio         May 26, 1998
Western Asset Global Strategic Income Portfolio       May 26, 1998
Western Asset Enhanced Equity Portfolio               May 26, 1998
</TABLE>

*Unless otherwise indicated, each Portfolio listed includes all Classes offered
by that Portfolio.

                                      -2-


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