RIGGS FUNDS
40-17F2, 1998-12-16
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                     U.S. SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D.C. 20549

                                  FORM N-17F-2

 CERTIFICATE OF ACCOUNTING OF SECURITIES AND SIMILAR INVESTMENTS IN THE CUSTODY
                       OF MANAGEMENT INVESTMENT COMPANIES

                   Pursuant to Rule 17f-2 [17 CFR 270, 17f-2]

1.  Investment Company Act File Number:         Date examination completed:



811-  6309                                      5/1/97 - 7/31/97




2.  State Identification Number:



AL       AK        AZ       AR       CA       CO
CT       DE        DC       FL       GA       HI
ID       IL        IN       IA       KS       KY
LA       ME        MD       MA       MI       MN
MS       MO        MT       NE       NV       NH
NJ       NM        NY       NC       ND       OH
OK       OR        PA       RI       SC       SD
TN       TX        UT       VT       VA       WA
WV       WI        WY       PUERTO RICO

Other (specify):



3. Exact name of investment company as specified in registration statement:

    RIMCO MONUMENT FUNDS

4. Address of principal executive office: (number, street, city, state, zip
code)

    FEDERATED INVESTORS TOWER, PITTSBURGH, PA  15222-3379


INSTRUCTIONS
This Form must be completed by the investment companies that have custody of
securities or similar investments.

Investment Company

1. All items must be completed by the investment company.

2. Give this Form to the independent public accountant who, in compliance with
Rule 17f-2 under the Act and applicable state law, examines securities and
similar investments in the custody of the investment company.

Accountant

3. Submit this Form to the Securities and Exchange Commission and appropriate
state securities administrators when filing the certificate of accounting
required by Rule 17f-2 under the Act and applicable state law. File the original
and one copy with the Securities and Exchange Commission's principal office in
Washington, D.C., one copy with the regional office for the region in which the
investment company's principal business operations are conducted, and one copy
with the appropriate state administrator(s), if applicable.

THIS FORM MUST BE GIVEN TO YOUR INDEPENDENT PUBLIC ACCOUNTANT

Note: The estimated average burden hours are made solely for purposes of the
     Paperwork Reduction Act, and are not derived from a comprehensive or even a
     representative survey or study of the costs of SEC rules and forms. Direct
     any comments concerning the accuracy of the estimated average burden hours
     for compliance with SEC rules and forms to Kenneth A. Fogash, Deputy
     Executive Director, U.S. Securities and Exchange Commission, 450 Fifth
     Street, N.W., Washington, D.C. 20549 and Gary Waxman, Clearance Officer,
     Office of Management and Budget, Room 3208 New Executive Office Building,
     Washington, D.C. 20503.










Management Statement Regarding Compliance with
CERTAIN PROVISIONS OF THE INVESTMENT COMPANY ACT OF 1940


We, as members of management of The RIMCO Monument Funds (the "Funds"), are
responsible for complying with the requirements of subsection (b) and (c) of
Rule 17f-2, "Custody of Investments by Registered Management Investment
Companies," of the Investment Company Act of 1940. We are also responsible for
establishing and maintaining effective controls over compliance with those
requirements. We have performed an evaluation of the Company's compliance with
the requirements of subsection (b) and (c) of Rule 17f-2 from May 1, 1997
through July 31, 1997.

Based on this evaluation, we assert that the Funds were in compliance with the
requirements of subsection (b) and (c) of Rule 17f-2 of the Investment Company
Act of 1940 from through July 31, 1997, with respect to securities and similar
investments reflected in the investment account of the Company.




                            By:   /S/ VIRGINIA C. LEWIS
                                  Virginia C. Lewis
                                  Vice President & Trust Operations Officer
                                  Riggs Bank N.A.


                                  /S/  JOSEPH A. MACKI
                                  RIMCO Monument Funds









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