PRINCIPAL SPECIAL MARKETS FUND INC
485APOS, EX-99.H4, 2000-09-22
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                          ACCOUNTING SERVICES AGREEMENT

     AGREEMENT to be effective  September  15,  2000,  by and between  PRINCIPAL
INVESTORS FUND, INC., a Maryland corporation (hereinafter called the "Fund") and
PRINCIPAL MANAGEMENT  CORPORATION,  an Iowa corporation  (hereinafter called the
"Administrator").

     In consideration of the premises and mutual  agreements  herein  contained,
the Fund hereby  appoints  the  Administrator  to provide  portfolio  accounting
services,  as described herein, to the Fund and the Administrator agrees to act,
perform or assume the  responsibility  therefor in the manner and subject to the
conditions hereinafter set forth.

1.   SERVICES FURNISHED BY THE ADMINISTRATOR

     The Administrator will provide all accounting services customarily required
by investment companies, in accordance with the requirements of applicable laws,
rules  and  regulations  and  with the  policies  and  practices  of the Fund as
communicated to the Administrator from time to time, including,  but not limited
to, the following:

(a)  Maintain fund general ledger and journal;

(b)  Prepare and record disbursements for direct Fund expenses;

(c)  Prepare daily money transfer;

(d)  Reconcile all Fund bank and custodian accounts;

(e)  Assist Fund independent auditors as appropriate;

(f)  Prepare daily projection of available cash balances;

(g)  Record trading  activity for purposes of  determining  net asset values and
     daily dividend;

(h)  Prepare daily portfolio valuation report to value portfolio securities and
     determine daily accrued income;

(i)  Determine the net asset value per share daily or at such other intervals as
     the Fund may reasonably request or as may be required by law;

(j)  Prepare monthly, quarterly, semi-annual and annual financial statements;

(k)  Provide  financial  information  for reports to the Securities and Exchange
     Commission in compliance with the provisions of the Investment  Company Act
     of 1940 and the Securities Act of 1933,  the Internal  Revenue  Service and
     any other regulatory or governmental agencies as required;

(l)  Provide  financial,  yield,  net asset value,  and similar  information  to
     National  Association  of Securities  Dealers,  Inc.,  and other survey and
     statistical agencies as instructed from time to time by the Fund;

(m)  Investigate,  assist  in  the  selection  of  and  conduct  relations  with
     custodians,  depositories,  accountants, legal counsel, insurers, banks and
     persons in any other  capacity  deemed to be necessary or desirable for the
     Fund's operations; and

(n)  Obtain and keep in effect fidelity bonds and directors and  officers/errors
     and  omissions  insurance  policies  for the  Fund in  accordance  with the
     requirements  of  the  Investment   Company  Act  of  1940  and  the  rules
     thereunder,  as such bonds and policies are approved by the Fund's Board of
     Directors.

3.   RESERVED RIGHT TO DELEGATE DUTIES AND SERVICES TO OTHERS

     In  providing  services  described  in  Section  2, the  Administrator  may
contract with others, at its own expense, for data systems,  processing services
and other administrative services. The Administrator may at any time or times in
its  discretion  appoint (and may at any time remove) other  parties,  including
parties with which the  Administrator  is affiliated,  as its agent to carry out
such  provisions  of the  Agreement as the  Administrator  may from time to time
direct;  provided,  however,  that the  appointment  of any such agent shall not
relieve  the  Administrator  of  any  of  its  responsibilities  or  liabilities
hereunder.

4.   EXPENSES BORNE BY THE ADMINISTRATOR

     The Administrator will pay the following operating expenses of the Fund and
all other Fund expenses of a similar nature:

(a)  Taxes,  including in case of redeemed  shares any initial  transfer  taxes,
     other local, state and federal taxes, and governmental fees;
(b)  Interest;
(c)  The fees of its independent auditor and its legal counsel;
(d)  The fees of the Custodian(s) of its assets;
(e)  The fees and  expenses  of all  directors  of the Fund who are not  persons
     affiliated with the Administrator;
(f)  The cost of a line of credit for the Fund;
(g)  Fidelity bond/D&O-E&O policy;
(h)  Trade association dues;
(i)  Securities lending fees; and
(j)  Expenses of unaffiliated directors.

5.   COMPENSATION FOR SERVICES

     The Fund will pay the Administrator a fee as described in Schedule A hereto
for the services provided pursuant to this agreement.

6.   LIMITATION OF LIABILITY OF THE ADMINISTRATOR

     The Administrator  shall not be liable for any error of judgment or mistake
of law or for any loss  suffered by the Fund in  connection  with the matters to
which this Agreement relates,  except a loss resulting from willful misfeasance,
bad faith or gross negligence on the Administrator's  part in the performance of
its duties or from reckless  disregard by it of its obligations and duties under
this Agreement.

7.   TERM AND RENEWAL

     This Agreement will be effective on September 15, 2000 and will continue in
effect  thereafter from year to year provided that each  continuance is approved
annually by the Board of  Directors of the Fund and by the vote of a majority of
the directors who are not  interested  persons of the  Administrator,  Principal
Life  Insurance  Company or the Fund cast in person at a meeting  called for the
purpose of voting on such approval.

8.   TERMINATION OF THIS AGREEMENT

     This Agreement may, on sixty days written notice, be terminated at any time
without the payment of any penalty, by the Board of Directors of the Fund, or by
the Administrator.

9.   AMENDMENT OF THIS AGREEMENT

     No  provision  of this  Agreement  may be changed,  waived,  discharged  or
terminated  orally,  but only by an  instrument  in writing  signed by the party
against which  enforcement  of the change,  waiver,  discharge or termination is
sought.

10.  ADDRESS FOR PURPOSE OF NOTICE

     Any  notice  under  this  Agreement  shall  be in  writing,  addressed  and
delivered or mailed, postage prepaid, to the other party at such address as such
other party may designate for the receipt of such notices.  Until further notice
to the other  party,  it is agreed  that the address of the Fund and that of the
Administrator  for this purpose  shall be the  Principal  Financial  Group,  Des
Moines, Iowa 50392-0200.

11.  MISCELLANEOUS

     The captions in this  Agreement are included for  convenience  of reference
only,  and in no way define or limit any of the  provisions  hereof or otherwise
affect  their   construction   or  effect.   This   Agreement  may  be  executed
simultaneously  in two or more  counterparts,  each of which  shall be deemed an
original,  but  all  of  which  together  shall  constitute  one  and  the  same
instrument.

     IN WITNESS  WHEREOF,  the parties  hereto have caused this  Agreement to be
executed by their respective officers thereunto duly authorized.

                    Principal Investors Fund, Inc.

                    By
                        /s/Arthur S. Filean
                       ___________________________________________
                           Arthur S. Filean, Senior Vice President

                    Principal Management Corporation

                    By
                        /s/Ralph C. Eucher
                       ___________________________________________
                           Ralph C. Eucher, President



                                   SCHEDULE A

     The Fund currently pays no fee for the services  provided  pursuant to this
Agreement.




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