ONE GROUP MUTUAL FUNDS
485BPOS, EX-99.H(2), 2000-10-30
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<PAGE>

                                 Exhibit (h)(2)

                 Fund Accounting and Related Services Agreement
                                     between
                     One Group Administrative Services, Inc.
                                       and
                            BISYS Fund Services, Inc.
<PAGE>

                 FUND ACCOUNTING AND RELATED SERVICES AGREEMENT


      THIS AGREEMENT is made effective as of the 1st day of November, 2000, by
and between One Group Administrative Services, Inc. (the "Administrator"), a
Delaware corporation having its principal place of business at 1111 Polaris
Parkway, Columbus, Ohio 43271-1235 and BISYS Fund Services Ohio, Inc. ("BISYS"),
an Ohio corporation having its principal place of business at 3435 Stelzer Road,
Columbus, Ohio 43219.

                             Background Information


      A.    One Group(R) Mutual Funds (the "Trust") is an open-end management
            investment company registered under the Investment Company Act of
            1940, as amended (the "1940 Act"), currently consisting of
            fifty-five series of shares of beneficial interest ("Shares");

      B.    Pursuant to a Management and Administration Agreement, dated as of
            November 1, 2000 (the "Administration Agreement") between the Trust
            and the Administrator, the Administrator provides various services,
            including but not limited to administrative and fund accounting
            services, for the Funds (as defined below) of the Trust;

      C.    Under the Administration Agreement, the Administrator is authorized
            to subcontract with any entity or person concerning the provision of
            the services contemplated under the Administration Agreement; and

      D.    The Administrator desires to retain BISYS to furnish fund accounting
            and related services to each series of the Trust, all as now or
            hereafter may be identified on Schedule A hereto as such Schedule
            may be amended from time to time (each, a "Fund"; collectively, "the
            Funds").

                             Statement Of Agreement

      The Administrator and BISYS hereby acknowledge the accuracy of the
foregoing Background Information and hereby agree as follows:


      ARTICLE 1. Fund Accounting and Related Services. Subject to the direction
                 ------------------------------------
and control of the Administrator, BISYS shall perform or supervise the
performance by others of the fund accounting and related services described in
this Article 1. In that connection, BISYS shall:

a) prepare and file Notices to the Commission required pursuant to Rule 24f-2
      under the 1940 Act;

b) review and provide information for the Trust's Registration Statement (on
      Form N-1A, Form N-14 or any replacements therefor), periodic supplements
      to the Registration Statement, proxy materials and other filings, provided
      such review and information relate to the services BISYS performs under
      this Agreement;
<PAGE>

c)    to the extent requested by the Administrator, provide information and
      assistance with inspections by the Securities and Exchange Commission (the
      "Commission");

d)    coordinate annual audit activities, including providing information and
      assistance with respect to audits conducted by the Trust's independent
      auditors, provided such assistance relates to the services BISYS performs
      under this Agreement;

e)    prepare semi-annual and annual financial statements;

f)    prepare and file periodic reports to shareholders and the Commission on
      Form N-SAR or any replacement forms therefor;

g)    calculate and distribute performance data of the Funds to the
      Administrator and information service providers covering the investment
      company industry;

h)    review all dividend declarations for the purpose of determining that such
      distributions are not "preferential" under the Internal Revenue Code;

i)    identify and track book-tax differences;

j)    to the extent requested by the Administrator, review marketing material to
      verify that routine Fund information is accurate, provided such
      information is readily available from the fund accounting system;

k)    prepare annual Trust expense budget and monthly accrual analyses and to
      the extent requested by the Administrator, assist in the performance of
      various quarterly expense savings analyses and expense benchmarking
      analyses;

l)    review all invoices for Trust expenses, submit all valid expenses to the
      Administrator for review and approval and, if approved by the
      Administrator, pay such expenses;

m)    prepare routine financial materials and other information requested by the
      Administrator for the board books for Trustees' meetings;

n)    provide information necessary for the Administrator to prepare and file
      proofs of claims in connection with Class Action notices;

o)    compile data for, assist the Trust or its designee in the preparation of,
      and file, all of the Funds' federal and state tax returns and required tax
      filings other than those required to be made by the Trust's custodian and
      transfer agent;

p)    prepare income breakdown for year-end shareholder tax information letters
      and prepare and distribute Forms 1099-MISC for Trustee fees and vendor
      payments;

q)    prepare quarterly tax compliance checklist for use by Fund managers;

r)    provide appropriate personnel and prepare appropriate materials for Board
      of Trustees meetings, providing such materials relate to the services
      BISYS performs under this Agreement;

s)    as requested by the Administrator, assist in obtaining insurance coverage
      for the Trust and its Trustees and officers;

t)    as requested by the Administrator, provide consulting on tax issues and
      Fund specific compliance issues and participate in providing semi-annual
      on-site compliance training to portfolio managers and other investment
      advisory personnel;
<PAGE>

u)    as requested, research and advise the Administrator on regulatory
      developments and industry issues that impact investment companies, the
      Trust, Fund managers or Trust officers;

v)    as requested, provide information and research memoranda on current
      regulatory developments including disclosure issues and Fund/client issues
      and develop disclosure forms as necessary;

w)    as requested by the Administrator, provide support and services (including
      on-site consulting) for Fund mergers and non-fund mergers, consolidations,
      conversions, and reorganizations, provided such support and services
      relate to the services BISYS performs under this Agreement, provided,
      however, that, with respect to proxy materials, BISYS will not create such
      materials but will provide appropriate support.;

x)    as requested by the Administrator, provide consulting to the Administrator
      concerning Fund management and administration issues;

y)    prepare and maintain the following books and records of each Fund pursuant
      to Rule 31a-1 under the Investment Company Act of 1940 (the "Rule"):


      (1)   journals containing an itemized daily record in detail of all
            purchases and sales of securities, all receipts and disbursements of
            cash and all other debits and credits, as required by subsection
            (b)(1) of the Rule;

      (2)   general and auxiliary ledgers reflecting all asset, liability,
            reserve, capital, income and expense accounts, including interest
            accrued and interest received, as required by subsection (b)(2)(i)
            of the Rule;

      (3)   separate ledger accounts required by subsection (b)(2)(ii) and (iii)
            of the Rule; and

      (4)   a monthly trial balance of all ledger accounts (except shareholder
            accounts) as required by subsection (b)(8) of the Rule.

(aa)  as requested by the Administrator, perform monthly verifications of all
      portfolio data with various reporting agencies (i.e. Morningstar, Lipper,
      etc.). Verification shall be limited to information that is readily
      available form the Fund Accounting System or reasonably expected to be
      known.

(bb)  perform the following accounting services daily for each Fund:

      (1)   calculate the net asset value per share utilizing prices obtained
            from the sources described in subsection 1(z)(2) below;

      (2)   obtain security prices from independent pricing services, or if such
            quotes are unavailable, sources identified in Pricing Guidelines
            adopted by the Trustees;

      (3)   verify and reconcile with the Trust's custodian all daily trade
            activity;
<PAGE>

      (4)   compute, as appropriate, each Fund's net income and capital gains,
            dividend payables, dividend factors, 7-day yields, 7-day effective
            yields, 30-day yields, distribution yields, and weighted average
            portfolio maturity;

      (5)   review daily the net asset value calculation and dividend factor (if
            any) for each Fund prior to the release to shareholders, check and
            confirm the net asset values and dividend factors for reasonableness
            and deviations, and distribute net asset values and yields to
            NASDAQ;

      (6)   determine unrealized appreciation and depreciation on securities
            held in variable net asset value Funds;

      (7)   amortize premiums and accrete discounts on securities purchased at a
            price other than face value, if requested by the Trust;

      (8)   update fund accounting system to reflect rate changes on variable
            interest rate instruments;

      (9)   post Fund transactions to appropriate categories;

      (10)  accrue expenses of each Fund;

      (11)  determine the outstanding receivables and payables for all (1)
            security trades, (2) Fund share transactions and (3) income and
            expense accounts;

      (12)  provide accounting reports in connection with the Trust's regular
            annual audit and other audits and examinations by regulatory
            agencies;

      (13)  calculate contractual Trust expenses and control all disbursements
            for the Trust, and as appropriate compute the Trust's yields, total
            return, expense ratios, portfolio turnover rate and, if required,
            portfolio average dollar-weighted maturity; and

      (14)  provide such periodic reports as the parties shall agree upon, as
            set forth in a separate schedule.

(cc)  perform the following additional accounting services for each Fund:

      (1)   provide monthly a download (and hard copy thereof) of the financial
            statements described below, upon request of the Trust. The download
            will include the following items:

            Statement of Assets and Liabilities,
            Statement of Operations,
            Statement of Changes in Net Assets, and
            Condensed Financial Information;
<PAGE>

      (2)   provide accounting information for the following:

            (a)   federal and state income tax returns and federal excise tax
                  returns;
            (b)   the Trust's semi-annual reports to the Commission on Form
                  N-SAR;
            (c)   the Trust's annual, semi-annual and quarterly (if any)
                  shareholder reports;
            (d)   registration statements on Form N-1A and other filings
                  relating to the registration of shares;
            (e)   monitoring of the Trust's status as a regulated investment
                  company under Subchapter M of the Internal Revenue Code, as
                  amended;
            (f)   annual audit by the Trust's auditors;
            (g)   examinations performed by the Commission; and
            (h)   proxy materials.

      (3)   calculate declaration of income/capital gain distributions in
            compliance with income/excise tax distribution requirements and
            ensure that such distributions are not "preferential" under the
            Internal Revenue Code.

      (4)   provide the Administrator with weekly market pricing of securities
            in any Funds which are money market funds, along with the comparison
            to amortized cost valuations.

      (5)   provide cash flow reports, as requested by the Administrator.

      (6)   provide access to the BISYS FundLink system in accordance with a
            separate BISYS FundLink agreement between the parties.

(dd)  perform the following Blue Sky services for each Fund:

      (1)   qualify each Fund and its shares with the appropriate state blue sky
            authorities upon the Administrator's authorization;

      (2)   amend and renew sales permits as required;

      (3)   monitor the sales of shares in individual states on a daily basis
            upon receipt of sales information from the Trust's Transfer Agent
            and other reporting entities and, when required, report sales to
            appropriate states;

      (4)   maintain Fund blue sky calendars;

      (5)   address all blue sky audit and examination issues with regulatory
            authorities;

      (6)   conduct blue sky cost analyses;

      (7)   request and transmit checks required for state qualifications and
            requalifications;

      (8)   produce matrix of all blue sky qualifications for use with internal
            and external distribution to the Administrator and others designated
            by the Administrator and the Trust's Board of Trustees;

      (9)   apprise Trust management of industry blue sky developments,
            including individual state qualification amendments;

      (10)  review eligibility/applicability of potential state institutional or
            other exemptions;

      (11)  file Trust documents with blue sky states;
<PAGE>

BISYS shall perform such additional services and shall provide such additional
reports for the Trust which are mutually agreed upon by the parties from time to
time, which may result in an additional charge, the amount of which shall be
agreed upon between the parties.

         ARTICLE 2.  Allocation of Charges and Expenses.
                     ----------------------------------

         (A) BISYS. BISYS shall furnish at its own expense the executive,
             -----
supervisory and clerical personnel necessary to perform its obligations under
this Agreement. BISYS shall also provide the items which it is obligated to
provide under this Agreement, and shall pay all compensation, if any, of
officers of the Trust as well as all Trustees of the Trust who are officers or
employees of BISYS or any affiliate of BISYS; provided, however, that unless
otherwise specifically provided, BISYS shall not be obligated to pay the
compensation of any employee of the Trust retained by the Trustees of the Trust
to perform services on behalf of the Trust.

         (B) The Trust. The Administrator hereby represents the Trust has
             ---------
undertaken to pay or cause to be paid all other expenses of the Trust not
otherwise allocated herein, including, without limitation, organization costs,
taxes, fees and expenses for legal and auditing services, fees and expenses of
pricing services used to value securities pursuant to (bb)(2) above, transfer
agency fees and expenses, the expenses of preparing (including typesetting),
printing and mailing reports, prospectuses, statements of additional
information, proxy solicitation material and notices to existing shareholders,
all expenses incurred in connection with issuing and redeeming shares, the costs
of custodial services, the cost of initial and ongoing registration of the
shares under Federal and state securities laws, fees and out-of-pocket expenses
of Trustees who are not officers or employees of the Administrator, the
Distributor, or the investment advisor to the Trust or any affiliated company of
the Administrator, the Distributor or the investment advisor, insurance,
interest, brokerage costs, litigation and other extraordinary or nonrecurring
expenses, and all fees and charges of investment advisors to the Trust.

         ARTICLE 3.  Compensation of BISYS.
                     ---------------------

         (A) In consideration of the services rendered, the facilities furnished
and the expenses assumed by BISYS pursuant to this Agreement, the Administrator
shall pay BISYS compensation as specified in Schedule B attached hereto. Such
compensation shall be paid to BISYS on the first business day of each month
beginning December 1, 2000. If this Agreement terminates before the last day of
a month, BISYS's compensation for that part of the month in which this Agreement
is in effect shall be prorated according to the proportion which such period
bears to the full monthly period and shall be payable upon the date of
termination of this Agreement.

         For the purpose of determining fees payable to BISYS, the value of net
assets of a particular Fund shall be computed in the manner described in the
Trust's Declaration of Trust or in the Prospectus or Statement of Additional
Information for the computation of the Trust's net assets in connection with the
determination of the net asset value of the Trust's shares.

         (B) All rights of compensation under this Agreement for services
performed as of the termination date shall survive the termination of this
Agreement.
<PAGE>

         ARTICLE 4. Limitation of Liability and Indemnification. The duties of
                    -------------------------------------------
BISYS shall be confined to those expressly set forth herein, and no implied
duties are assumed by or may be asserted against BISYS hereunder. BISYS shall
not be liable for any error of judgment or mistake of law or for any loss
arising out of any act or omission in carrying out its duties hereunder, except
a loss resulting from willful misfeasance, bad faith or negligence in the
performance of its duties, or by reason of reckless disregard of its obligations
and duties hereunder, except as may otherwise be provided under provisions of
applicable law which cannot be waived or modified hereby.

         Notwithstanding the foregoing, BISYS assumes full responsibility and
shall indemnify and hold harmless the Trust and the Administrator, and their
employees, agents, directors, officers and nominees (each, an "Indemnified
Party") from and against any and all actions, suits and claims, whether
groundless or otherwise, and from and against any and all losses, damages,
costs, charges, reasonable counsel fees and disbursements, payments, expenses
and liabilities (including reasonable investigation expenses) arising directly
or indirectly out of BISYS's willful misfeasance, bad faith or negligence in the
performance of its duties under this Agreement, or by reason of reckless
disregard of its obligations and duties under this Agreement.

         The Administrator agrees to indemnify and hold harmless BISYS and its
employees, agents, directors, officers and nominees (each, an "Indemnified
Party") from and against any and all actions, suits and claims, whether
groundless or otherwise, and from and against any and all losses, damages,
costs, charges, reasonable counsel fees and disbursements, payments, expenses
and liabilities (including reasonable investigation expenses) arising out of or
in any way relating to BISYS' performance of services under this Agreement or
based upon reasonable reliance on information, records, instructions or requests
given or made to BISYS by the Administrator; provided that this indemnification
shall not apply to actions or omissions of BISYS in cases of its own willful
misfeasance, bad faith, or negligence in the performance of its duties under
this Agreement, or by reason of reckless disregard of its obligations and duties
under this Agreement.

         The rights under this Article 4 shall include the right to reasonable
advances of defense expenses in the event of any pending or threatened
litigation with respect to which indemnification hereunder may ultimately be
merited. In order that the indemnification provisions contained herein shall
apply, however, it is understood that if either BISYS or the Administrator, as
applicable (the "Indemnifying Party") be asked to indemnify or hold harmless an
Indemnified Party, the Indemnifying Party shall be fully and promptly advised of
all pertinent facts concerning the situation in question, and it is further
understood that BISYS or the Administrator, as applicable will use all
reasonable care to identify and notify the Indemnifying Party promptly
concerning any situation which presents or appears likely to present the
probability of such a claim for indemnification against the Indemnifying Party,
but failure to do so in good faith shall not affect the rights hereunder.

         The Indemnifying Party shall be entitled to participate at its own
expense or, if it so elects, to assume the defense of any suit brought to
enforce any claims subject to this indemnity provision. If the Indemnifying
Party elects to assume the defense of any such claim, the defense shall be
conducted by counsel chosen by the Indemnifying Party and satisfactory to the
other
<PAGE>

party, whose approval shall not be unreasonably withheld. In the event that the
Indemnifying Party elects to assume the defense of any suit and retain counsel,
the Indemnified Party shall bear the fees and expenses of any additional counsel
retained by it. If the Indemnifying Party does not elect to assume the defense
of a suit, it will reimburse the applicable Indemnified Parties for the
reasonable fees and expenses of any counsel retained by them. The indemnity and
defense provisions set forth herein shall indefinitely survive for a period of
five years after the termination of this Agreement.

         The Indemnifying Party shall be protected in acting upon any document
which it reasonably believes to be genuine and to have been signed or presented
by the proper person or persons. BISYS will not be held to have notice of any
change of authority of any officers, employees or agents of the Trust until
receipt of written notice thereof from the Administrator.

         ARTICLE 5.  Activities of BISYS.
                     -------------------

                  (a) The services of BISYS rendered to the Administrator are
not to be deemed to be exclusive. BISYS is free to render such services to
others and to have other businesses and interests. It is understood that
directors, officers, employees and shareholders of the Trust are or may be or
become interested in BISYS, as officers, employees or otherwise and that
partners, officers and employees of BISYS and its counsel are or may be or
become similarly interested in the Trust, and that BISYS may be or become
interested in the Trust as an owner of Trust shares or otherwise.

                  (b) BISYS warrants that during the term of this Agreement, all
of the prices, BISYS offers to the Administrator shall be equal to or more
favorable to the Administrator than the prices that BISYS offers to any of its
customers (i) for whom substantially similar services are being provided
pursuant to an agreement having a substantially similar contract term and (ii)
whose assets are substantially similar to those of the Administrator (hereafter
referred to herein as a "Comparable Customer').

         If at anytime during the term of this Agreement, BISYS has entered into
contractual arrangements with a Comparable Customer pursuant to which more
favorable prices are offered than those that are offered to the Administrator,
then, effective immediately, BISYS shall offer the more favorable prices to the
Administrator and, upon acceptance of such offer by the Administrator, this
Agreement will be amended to effectuate such change. The Administrator, in its
sole discretion, may decline to accept any such offer. BISYS agrees to furnish
to the Administrator, at least annually, a written certification by a duly
authorized officer stating that BISYS has remained in compliance with the terms
and conditions of this Section.

         ARTICLE 6. Term. This Agreement shall become effective as of the date
                    ----
first written above (or, if a particular Fund is not in existence on the date,
on the date an amendment to Schedule A to this Agreement relating to that Fund
is executed) and shall continue until October 31, 2004 and thereafter shall be
renewed automatically for successive one-year terms unless written notice not to
renew is given by the non-renewing party to the other party at least 60 days
prior to the expiration of the then-current term; provided, however, that after
such termination for so long as BISYS, with the written consent of the
Administrator, in fact continues to perform any
<PAGE>

one or more of the services contemplated by this Agreement or any schedule or
exhibit hereto, the provisions of this Agreement shall continue in full force
and effect. This Agreement also will terminate upon the termination of the
Management and Administration Agreement, provided the Administrator promptly
notifies BISYS of such termination.

         Either party to this Agreement may terminate this Agreement for cause
prior to the expiration of the then current term by providing the other party
with written notice of such termination at least 60 days prior to the date upon
which such termination shall become effective. For purposes of this Agreement,
"cause" shall mean (a) a material breach of this Agreement that has not been
remedied for thirty (30) days following written notice of such breach from the
non-breaching party; (b) a final, unappealable judicial, regulatory or
administrative ruling or order in which the party to be terminated has been
found guilty of criminal or unethical behavior in the conduct of its business;
or (c) financial difficulties on the part of the party to be terminated which
are evidenced by the authorization or commencement of, or involvement by way of
pleading, answer, consent or acquiescence in, a voluntary or involuntary case
under Title 11 of the United States Code, as from time to time is in effect, or
any applicable law, other than said Title 11, of any jurisdiction relating to
the liquidation or reorganization of debtors or to the modification or
alteration of the rights of creditors. On the termination date, BISYS shall be
paid compensation calculated through the earlier of: (i) the last date BISYS
performs services; or (ii) the termination date; provided, however, that BISYS
shall complete all services prior to the termination date.

         If BISYS terminates this Agreement for "cause" or if this Agreement is
terminated for any reason other than: (i) mutual agreement of the parties; (ii)
for "cause" by the Administrator; (iii) nonrenewal of this Agreement; or (iv)
termination or nonrenewal of the Administration Agreement, provided such
termination or nonrenewal is not related to, or in connection with, a merger of
the Trust with another open-end management investment company, the Administrator
shall make a one-time cash payment, in consideration of the fee structure and
services to be provided under this Agreement and not as a penalty, to BISYS
equal to the balance due BISYS for the lesser of (A) the next six months or (B)
the remainder of the then-current term of the Agreement.

         The parties further acknowledge and agree that, in the event that this
Agreement is terminated as set forth in the paragraph directly above, (i) a
determination of actual damages incurred by BISYS would be extremely difficult,
and (ii) the liquidated damages provision contained herein is intended to
adequately compensate BISYS for damages incurred and is not intended to
constitute any form of penalty.

         ARTICLE 7. Assignment. This Agreement shall not be assignable by either
                    ----------
party without the written consent of the other party. This Agreement shall be
binding upon, and shall inure to the benefit of, the parties hereto and their
respective successors and permitted assigns.

         ARTICLE 8. Amendments. No provision of this Agreement may be changed,
                    ----------
waived, discharged or terminated, except by an instrument in writing signed by
the parties hereto.

         ARTICLE 9. Certain Records. BISYS shall maintain customary records in
                    ---------------
connection with its duties as specified in this Agreement. Any records required
to be maintained and
<PAGE>

preserved pursuant to Rules 31a-1 and 31a-2 under the 1940 Act which are
prepared or maintained by BISYS on behalf of the Trust shall be prepared and
maintained at the expense of BISYS, but shall be the property of the Trust and
will be made available to or surrendered promptly to the Trust on request for
inspection by the Trust and/or the Securities and Exchange Commission.

         BISYS agrees on behalf of itself and its employees to treat
confidentially and as the proprietary information of the Trust, all records and
other information relative to the Trust and prior, present or potential
shareholders, and not to use such records and information for any purpose other
than performance of its responsibilities and duties hereunder. In case of any
request or demand for the inspection of such records and information by another
party, BISYS shall notify the Administrator and follow the Administrator's
instructions as to permitting or refusing such inspection; provided that BISYS
may, after notice to the Administrator, exhibit such records and information to
any person in any case where it is advised by its counsel that it may be held
liable in civil or criminal contempt proceedings for failure to do so.

         ARTICLE 10. Definitions of Certain Terms. The terms "interested person"
                     ----------------------------
and "affiliated person," when used in this Agreement, shall have the respective
meanings specified in the 1940 Act and the rules and regulations thereunder,
subject to such exemptions as may be granted by the Commission.

         ARTICLE 11. Notice. Any notice required or permitted to be given by
                     ------
either party to the other shall be deemed sufficient if sent by registered or
certified mail, postage prepaid, addressed by the party giving notice to the
other party at the following address or by facsimile, when transmitted to the
facsimile number specified below (or such other facsimile number as any such
party may, by notice to the other party to this Agreement, have designated as
its facsimile number for such purpose), and confirmation of receipt by facsimile
is received. In the event that notice is provided by facsimile, the party
sending the facsimile shall send a duplicate copy of the notice to the intended
recipient by regular U.S. mail.


         if to the Administrator:

         1111 Polaris Parkway, Suite B-2
         Columbus, Ohio  43271-1235
         Attention: Mark A. Beeson
         Facsimile number:  (614) 213-6331

         if to BISYS:

         3435 Stelzer Road
         Columbus, Ohio 43219
         Attention: President
         Facsimile number: (614) 470-8715
<PAGE>

         or at such other address as such party may from time to time specify in
         writing to the other party pursuant to this Section.

         ARTICLE 12. Governing Law and Matters Relating to the Trust as a
                     ----------------------------------------------------
Massachusetts Business Trust. This Agreement shall be construed and the
----------------------------
provisions hereof interpreted under and in accordance with the laws of the state
of Ohio. The names "One Group(R) Mutual Funds" and `Trustees of One Group Mutual
Funds" refer respectively to the Trust created and the Trustees, as trustees but
not individually or personally, acting from time to time under a Declaration of
Trust dated May 23, 1985, as amended and restated February 18, 1999, to which
reference is hereby made and a copy of which is on file at the office of the
Secretary of the Commonwealth of Massachusetts and elsewhere as required by law,
and to any and all amendments thereto so filed or hereafter filed. The
obligations of `One Group Mutual Funds' entered into in the name or on behalf
thereof by any of the Trustees, representatives or agents are made not
individually, but in such capacities, and are not binding upon any of the
Trustees, shareholders or representatives of the Trust personally, but bind only
the assets of the Trust, and all persons dealing with any series of shares of
the Trust must look solely to the assets of the Trust belonging to such series
for the enforcement of any claims against the Trust.

         IN WITNESS WHEREOF, the parties hereto have executed and delivered this
Agreement as of the day and year first above written.



                                      ONE GROUP ADMINISTRATIVE SERVICES, INC.


                                      By: /s/    Mark A. Beeson
                                          -------------------------------

                                      Title:    President
                                             ----------------------------------

                                      BISYS FUND SERVICES OHIO, INC.


                                      By:   /s/  Mark A. Dillon
                                           ------------------------------

                                      Title: Executive Vice President
                                             ----------------------------
<PAGE>

                                   SCHEDULE A
                             TO THE FUND ACCOUNTING
                         AND RELATED SERVICES AGREEMENT
                                     BETWEEN
                     ONE GROUP ADMINISTRATIVE SERVICES, INC.
                                       AND
                         BISYS FUND SERVICES OHIO, INC.


Name of the Fund
----------------

Prime Money Market Fund
U.S. Treasury Securities Money Market Fund
Municipal Money Market Fund
Michigan Municipal Money Market Fund
Ohio Municipal Money Market Fund
Treasury Prime Money Market Fund
U.S. Government Securities Money Market Fund
Cash Management Money Market Fund
Treasury Cash Management Money Market Fund
Treasury Prime Cash Management Money Market Fund
U.S. Government Cash Management Money Market Fund
Municipal Cash Management Money Market Fund
Institutional Prime Money Market Fund
Treasury Only Money Market Fund
Government Money Market Fund
Tax Exempt Money Market Fund
Small Cap Growth Fund
Small Cap Value Fund
Mid Cap Growth Fund
Mid Cap Value Fund
Diversified Mid Cap Fund
Large Cap Growth Fund
Large Cap Value Fund
Equity Income Fund
Diversified Equity Fund
Balanced Fund
Equity Index Fund
Market Expansion Index Fund
Technology Fund
International Equity Index Fund
Diversified International Fund
Real Estate Fund
Ultra Short-Term Bond Fund
Short-Term Bond Fund
Intermediate Bond Fund
Bond Fund
Income Bond Fund
Government Bond Fund
Treasury & Agency Fund
High Yield Bond Fund
Mortgage-Backed Securities Fund
Short-Term Municipal Bond Fund
Intermediate Tax-Free Bond Fund
Tax-Free Bond Fund
Municipal Income Fund
<PAGE>

Arizona Municipal Bond Fund
Kentucky Municipal Bond Fund
Louisiana Municipal Bond Fund
Michigan Municipal Bond Fund
Ohio Municipal Bond Fund
West Virginia Municipal Bond Fund
Investor Growth Fund
Investor Growth and Income Fund
Investor Balanced Fund
Investor Conservative Growth Fund




One Group Administrative Services, Inc.          BISYS Fund Services Ohio, Inc.


By:    /s/ Mark A. Beeson                        By:     /s/   Mark A. Dillon
    --------------------------------                  --------------------------

Date:   9/27/00                                  Date:   September 26, 2000
      ------------------------------                   -------------------------
<PAGE>

                                   SCHEDULE B
                             TO THE FUND ACCOUNTING
                         AND RELATED SERVICES AGREEMENT
                                     BETWEEN
                     ONE GROUP ADMINISTRATIVE SERVICES, INC.
                                       AND
                         BISYS FUND SERVICES OHIO, INC.

Related Services Fee

A monthly fee of $75,650 plus the following asset based charge:

                                                                   Annual Asset
         Fund Type                                                    Based Fee
         ---------                                                    ---------
         Equity                                                .05 basis points
         Bond                                                  .05 basis points
         Municipal Bond                                        .05 basis points
         Retail Money Market*                                  .05 basis points
         Investor                                              .04 basis points
         Institutional Money Market                            .04 basis points

         *Excluding investments by other One Group Funds.

Fund Accounting Fee (excluding One Group Investor Funds)
Trust's average daily net assets               Annual Asset Based Fee
--------------------------------                            ---------
First $10 billion                              1.5 basis points
Next $10 billion                               0.75 basis points
Next $30 billion                               0.50 basis points
Assets over $50 billion                        0.25 basis points

All new One Group Funds will be evaluated six (6) months after commencement of
operations to assure that costs in the servicing of such have been recovered by
BISYS. If not, an adjustment will be made to the overall level of fees hereunder
to account for any shortfall.

Additional Fee Information

Any new Funds or share classes added to the Trust after the date of this
Agreement which increase the total number of funds or classes over the levels at
November 1, 2000 shall incur, in addition to the asset based charges above, an
additional charge of $25,000 per fund or share class.

In the event of termination of the Fund Accounting and Related Services
Agreement for any and all reasons, BISYS will pay OGA a termination payment
equal to $7,700 per month for each month remaining on the original contract
term.

If, in BISYS's reasonable opinion, services requested by the Administrator under
subsections (u), (v), and (x) of Article 1 would require BISYS to expend
significant time or resources due to the complexity of the Administrator's
request or the frequency of the Administrator's requests under such subsections,
BISYS shall be entitled to an additional fee as agreed to by the parties in
advance of the provision of services.


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