BRINSON RELATIONSHIP FUNDS
POS AMI, EX-99.G.1(A), 2000-10-30
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<PAGE>


                                                                   EX-99.g.1(a)

           AMENDMENT RELATING TO FEE OBLIGATION AND CONTINUATION OF
                          MULTIPLE SERVICES AGREEMENT

     This AMENDMENT, dated May 9, 2000, is between the Brinson Relationship
Funds, a Delaware business trust (the "Customer"), on behalf of its separate
Series, and The Chase Manhattan Bank (the "Bank"). It amends the Multiple
Services Agreement effective May 9, 1997, as amended from time to time, (the
"Agreement") between the Customer and Morgan Stanley Trust Company, a
predecessor company to the Bank.

     WHEREAS, the terms of the Agreement provide that the Agreement shall expire
on May 9, 2000;

     WHEREAS, the Customer and Bank desire to continue the Agreement subject to
the modifications set forth in this Amendment; and

     WHEREAS, the Bank desires to increase the fee on the non-U.S. assets of the
Customer paid by the Customer to the Bank and the Customer agrees;

     NOW, THEREFORE, effective May 9, 2000, the Agreement is amended as follows:

3.   Sub-section 9(g) of Section III. of the Agreement is modified by deleting
     the Bank's address and inserting, in lieu thereof, the following: The Chase
     Manhattan Bank, 4 New York Plaza, New York, N.Y. 10004, Attention: Global
     Investor Services.

4.   Paragraphs (i) and (ii) of Sub-section 9(h) of Section III. of the
     Agreement are hereby deleted in their entirety and replaced with the
     following:

     (iii)     This Agreement shall continue in effect until March 31, 2001 and
               shall thereafter renew automatically each year for an additional
               one year term unless either party gives the other written notice
               of its intent not to renew at least 90 days prior to the end of
               the then-current term.

     (iv)      Notwithstanding Paragraph (i) of Sub-section 9(h) of Section
               III., the Customer or the Bank may terminate the Agreement in its
               entirety or as to Section I. or Section II. only by giving ninety
               (90) days written notice to the other, provided that such notice
               by Customer to the Bank shall specify the names of the persons to
               whom the Bank shall deliver the Assets in the Accounts; and
               further provided that, if Bank is the terminating party, Customer
               may extend the termination period by up to an additional sixty
               (60) days by sending prompt written notice ("Extension Notice")
               to Bank of its intent to do so (including the number of
               additional days). If notice of termination is given by the Bank,
               the Customer shall, within ninety (90) days (or such other amount
               of days as is contemplated by the Extension


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          Notice) following receipt of the notice, deliver to the Bank
          Instructions specifying the names of the persons to whom the Bank
          shall deliver the Assets. In either case the Bank will deliver the
          Assets to the persons so specified, after deducting any amounts which
          the Bank determines in good faith to be owed to it under Sub-section
          7 of Section III. of this Agreement.

          If within ninety (90) days following receipt of a notice of
          termination by the Bank, the Bank does not receive Instructions from
          the Customer specifying the names of the persons to whom the Bank
          shall deliver the Assets, the Bank, at its election, may deliver the
          Assets to a bank or trust company doing business in any State within
          the United States to be held and disposed of pursuant to the
          provisions of this Agreement, or to Authorized Persons, or may
          continue to hold the Assets until Instructions are provided to the
          Bank; provided, however, that the Bank shall have no obligation to
                --------  -------
          settle any transactions in securities for the Accounts following the
          expiration of the ninety (90) day period referred to in this sentence
          except those transactions which remained open prior to the expiration
          of such ninety (90) day period.

6.   "Schedule F -- Fee Schedule for the Brinson Relationship Funds, Effective
     June 1, 1998" is hereby replaced in its entirety with "Schedule F -- Fee
     Schedule for the Brinson Relationship Funds, Effective May 9, 2000"
     attached hereto.

7.   Unless expressly defined herein, the terms used in this Amendment shall
     have the meaning assigned to them in the Agreement.

8.   Except as expressly modified hereby, the Agreement is confirmed in all
     respects.

     IN WITNESS WHEREOF, the parties have duly executed this Amendment.

                                             THE CHASE MANHATTAN BANK



                                             By: /s/ Jeanne Hoffman
                                                 -------------------------

                                             Title: Principal
                                                    ----------------------

                                             BRINSON RELATIONSHIP FUNDS




                                             By: /s/ Carolyn M. Burke
                                                 -------------------------

                                             Title: Secretary & Treasurer
                                                    ----------------------



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                                  SCHEDULE F
                                  ----------

                FEE SCHEDULE FOR THE BRINSON RELATIONSHIP FUNDS
                -----------------------------------------------

                             Effective May 9, 2000

                Accounting, Administration, Transfer Agency and
                     Custody Services Annual Fee Schedule


     3.   On an annual basis, 0.25 basis points of the average weekly U.S.
          assets of the Customer, 6.00 basis points of the average weekly non-
          U.S. assets of the Customer, 32.50 basis points of the average weekly
          emerging market equity assets of the Customer and 1.90 basis points of
          the average weekly emerging markets debt assets of the Customer.

          There will be an annual fee of $25 for each shareholder account within
          The Brinson Relationship Funds.

          An additional fee of 7.50 basis points will be charged for
          administrative duties. PLEASE NOTE: The additional fee of 7.50 basis
          points can ONLY be charged up to the extent it does not make a fund
          exceed its expense cap. Please see below for the expense caps of each
          fund within the Brinson Relationship Funds:


<TABLE>
<CAPTION>
               Fund                                                                  Expense Cap
               ----                                                                  -----------
               <S>                                                                   <C>
               Brinson Global Securities Fund                                        5 basis points
               Brinson Global Bond Fund                                              5 basis points
               Brinson U.S. Equity Fund                                              1 basis point
               Brinson U.S. Large Capitalization Equity Fund                         1 basis point
               Brinson Intermediate Capitalization Equity Fund                       1 basis point
               Brinson U.S. Value Equity Fund                                        1 basis point
               Brinson U.S. Small Capitalization Equity Fund                         0 basis points
               Brinson Global (Ex-U.S.) Equity Fund                                  6 basis points
               Brinson Emerging Markets Equity Fund                                  50 basis points
               Brinson Bond Plus Fund                                                5 basis point
               Brinson U.S. Bond Fund                                                1 basis point
               Brinson U.S. Short/Intermediate Fixed Income Fund                     1 basis point
               Brinson Limited Duration Fund                                         1 basis point
               Brinson Short-Term Fund                                               5 basis points
               Brinson U.S. Treasury Inflation Protected Securities Fund             1 basis point
               Brinson U.S. Cash Management Prime Fund                               1 basis point
               Brinson High Yield Fund                                               0 basis points
               Brinson Defensive High Yield Fund                                     1 basis point
               Brinson Emerging Markets Debt Fund                                    50 basis points
</TABLE>






<PAGE>


          NO FEE (asset based or otherwise) will be charged on any investments
          made by any fund into any other fund managed by Brinson Partners, Inc.
          Fees are to be charged ONLY where actual non-Brinson Partners, Inc.-
          sponsored investment company or series securities are held. Assets of
          a series which are invested in another Brinson Partners, Inc.-
          sponsored investment company or series shall not be counted in
          determining whether or not the charging of the 7.50 basis points
          charge for administrative duties would cause a fund to exceed its fee
          cap and shall not be counted in determining the amount of assets
          subject to the 7.50 basis points.

          For purposes of this Schedule F, the "average weekly U.S. assets of
          the customer" means the average weekly U.S. assets custodied within
          the United States of the Customer as calculated by the Accounting
          Agent for the month for which the statement reflecting the charges for
          a given month relates. For purposes of this Schedule F, the "average
          weekly non-U.S. assets of the customer" means the average weekly
          balance of countries included in the Morgan Stanley Capital World Ex-
          U.S.A. (free) Index or the Salomon Non-U.S. Government Bond Index
          (including assets with a country of issue of the European Economic
          Community and held in Euroclear or CEDEL) custodied outside the United
          States of the Customer as calculated by the Accounting Agent for the
          month for which the statement reflecting the charges for a given month
          relates. For purposes of this Schedule F, the "average weekly emerging
          markets equity assets of the customer" means the average weekly
          balance of the countries included in the International Finance
          Corporation Global Index (excluding countries included in the Morgan
          Stanley Capital World Ex-U.S.A (free) Index or Salomon Non-U.S.
          Government Bond Index, but including assets with a country of issue in
          the local market contained in such index that are held in Euroclear or
          CEDEL) custodied outside the United States of the Brinson Emerging
          Markets Equity Fund as calculated by the Accounting Agent for the
          month for which the statement reflecting the charges for a given month
          relates. For purposes of this Schedule F, the "average weekly emerging
          markets debt assets of the customer" means the average weekly balance
          of the countries included in the J.P. Morgan Emerging Markets Bond
          Index Plus custodied outside the United States of the Brinson Emerging
          Markets Debt Fund (including assets with a country of issue in the
          local market contained in such index that are held in Euroclear or
          CEDEL) as calculated by the Accounting Agent for the month for which
          the statement reflecting the charges for a given month relates.

          Those fees include all out-of-pocket expenses or transaction charges
          incurred by the accountant, administrator, transfer agent and
          custodian with the exception of the following:

          The Customer will be billed directly by Other Parties for the
          following direct Customer expenses or transaction charges:

          (13) taxes;

<PAGE>


     (14) salaries and other fees of officers and directors who are not
          officers, directors, shareholders or employees of Other Parties, or
          the Customer's investment adviser;

     (15) SEC and state Blue Sky registration and qualification fees, levies,
          fines and other charges;

     (16) EDGAR filing fees;

     (17) independent public accountants;

     (18) insurance premiums including fidelity bond premiums;

     (19) outside legal expenses;

     (20) costs of maintenance of corporate existence;

     (21) expenses of typesetting and printing prospectuses for regulatory
          purposes and for distribution to current shareholders of the
          Customer;

     (22) expenses of printing and production costs of shareholders' reports and
          proxy statements and materials;

     (23) trade association dues and expenses; and

     (24) travel and lodging expenses of the Customer's directors and officers
          who are not directors, officers and/or employees of Other Parties.

     Customer will not be billed directly for any direct Customer Expenses or
     pay any other direct Customer expenses, unless the payment of such direct
     expenses is agreed to in writing by Customer.

4.   Upon termination of the provision of services under this Agreement before
     the end of any month, the fee for the part of the month before such
     termination or the date after which the provision of services ceases,
     whichever is later, shall be prorated according to the proportion which
     such part bears to the full monthly period and shall be payable upon the
     date of such termination or the date after which the provision of the
     services ceases, whichever is later.



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