<PAGE>
                                                                   EXHIBIT 10(i)

                                      NASD
                          SUBORDINATED LOAN AGREEMENT
                       AMENDMENT EXTENDING MATURITY DATE

                                      SL-A

                               AGREEMENT BETWEEN:



                            LENDER: SUNAMERICA INC.


           1 SunAmerica Center, 1999 Avenue of the Stars, 38th Floor
           ---------------------------------------------------------
                                (Street Address)


              Los Angeles          California           90067-6002
              -----------          ----------           ----------
                (City)              (State)               (Zip)


                                      AND


                BROKER-DEALER: SUNAMERICA CAPITAL SERVICES, INC.


                          733 Third Avenue, 3rd Floor
                          ---------------------------
                                (Street Address)


             New York              New York                  10017
             --------              --------                  -----
              (City)               (State)                   (Zip)





NASD ID Number: 13158
DATE FILED: June 26, 2002


                                      -1-
<PAGE>
                          SUBORDINATED LOAN AGREEMENT
                       AMENDMENT EXTENDING MATURITY DATE



     This AMENDMENT NO. 3 of that certain NASD Subordinated Loan Agreement for
Equity Capital SL-5 by and between SunAmerica Inc. (the "Lender") and SunAmerica
Capital Services, Inc. (the "Broker-Dealer") effective as of June 30, 1998
("Subordinated Loan Agreement") and amendments thereto dated as of May 22, 2000
and June 5, 2001 (the "Amendments") is dated as of May 28, 2002 ("Amendment No.
3").

     In consideration of the sum of $3,500,000.00 (the unpaid principal amount)
and subject to the terms and conditions set forth in the Subordinated Loan
Agreement approved by the National Association of Securities Dealers, Inc.
("NASD"), as amended by the Amendments, scheduled to mature on July 30, 2003
bearing Loan Number 10-E-SLA-10761, the Broker-Dealer and the Lender agree to
extend the maturity date until July 30, 2004. This Amendment No. 3 shall not
become effective unless and until the NASD has found this Amendment No. 3
acceptable.

     The interest rate set forth in the Subordinated Loan Agreement, as amended
by the Amendments, is changed from 7.0% to 4.75% per annum effective as of
July 31, 2003.













                         (The signature page follows.)






                                      -2-
<PAGE>
         IN WITNESS WHEREOF the parties have set their hands and seal this 28th
day of May, 2002.

<Table>
<S>                            <C>
BROKER-DEALER:                      SUNAMERICA CAPITAL SERVICES, INC.

[Seal]
                                    By: /s/ John Genoy
                                       -------------------------------
                                       Name:  John Genoy
                                       Title: Chief Financial Officer

LENDER                              SUNAMERICA INC.

[Seal]
                                    By: /s/ James R. Belardi
                                       -------------------------------
                                       Name:  James R. Belardi
                                       Title: Executive Vice President


                               FOR NASD USE ONLY


                               ACCEPTED BY:
                                           ---------------------------
                                                     (Name)


                                           ---------------------------
                                                     (Title)


                               EFFECTIVE DATE:
                                              -------------------------

                               LOAN NUMBER:
                                           ----------------------------
</Table>


                                      -3-