AIM INVESTMENT SECURITIES FUNDS INC
24F-2NT, 1995-09-28
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                               RULE 24F-2 NOTICE
                                      for
                        AIM Investment Securities Funds


Reg. No. 811-5686                                  Dated:  September 27, 1995


         The fiscal year for which this Notice is being filed ended July 31,
1995.

         There were no shares registered during such fiscal year pursuant to
Section 270.24e-2.  There were no shares which had been registered under the
Securities Act of 1933 pursuant to Section 270.24e-2 which remained unsold at
the beginning of such fiscal year.

         There were 17,406,564 shares sold during such fiscal year.  Of those
shares sold, 17,406,564 shares were sold during this fiscal year in reliance
upon registration pursuant to Section 270.24f-2, and no shares were sold in
reliance upon registration pursuant to Section 270.24e-2.  The aggregate sale
price of these shares was $173,221,192.  There were 31,117,229 shares
repurchased or redeemed during such fiscal year.  The aggregate redemption
price of these shares was $305,826,953.

         Calculation of the required fee is as follows (pursuant to Section
6(b) of the Securities Act of 1933):

         $            173,221,192                 Aggregate sale price of
                                                  shares sold during fiscal
                                                  year

         $           (305,826,953)                Aggregate redemption price
                                                  of shares repurchased or
                                                  redeemed during fiscal year

         $                    -0-                 Aggregate sale price of
                                                  shares sold pursuant to 
                                                  definite registration

         $           (132,605,761)                divided by 2900
         ______________________________________

         $                    -0-                 Total fee due with this Notice

         No redeemed or repurchased shares have been previously applied by the
issuer pursuant to Section 270.24e-2(a) in filings made pursuant to Section
270.24e-1 of the Investment Company Act for such period.

         This Rule 24f-2 Notice is accompanied by the required opinion of
counsel furnished by Ballard Spahr Andrews & Ingersoll, legal counsel to the
issuer.



                                        /s/ Dana R. Sutton
                                        ------------------------------
                                        Dana R. Sutton
                                        Assistant Treasurer

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               [On Letterhead of Ballard, Spahr, Andrews & Ingersoll]


                                                            September 27, 1995



AIM Investment Securities Funds
11 Greenway Plaza
Suite 1919
Houston, Texas  77046

                 Re:      Rule 24f-2 Notice for AIM Investment
                          Securities Funds - Securities Act
                          File No. 33-39519                  
                          ------------------------------------

Gentlemen:

                 We have acted as counsel to AIM Investment Securities Funds
(the "Fund"), a Delaware business trust registered with the Securities and
Exchange Commission under the Investment Company Act of 1940 as an open-end
management, series investment company.

                 We have been informed that a registration statement on Form
N-1A, as amended ("Registration Statement") relating to an indefinite number of
shares of beneficial interest in the Fund (the "Shares") has been filed with
the Securities and Exchange Commission under the Securities Act of 1933
(Securities Act File No. 33-39519).

                 We further understand that, pursuant to the provisions of Rule
24f-2, the Fund is filing with the Securities and Exchange Commission a notice
(the "Notice") making definite the registration of such Shares sold in reliance
on Rule 24f-2 for the fiscal year ended July 31, 1995.  Specifically, we have
been informed by the Fund that a total of 17,406,564 Shares (representing
interests in series portfolios existing during all or part of such fiscal year)
were issued from time to time during such fiscal year under Prospectuses which
were included as part of the Registration Statement.  The Fund has requested
our opinion in connection with the filing of such Notice, for inclusion in such
filing.
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AIM Investment Securities Funds
September 27, 1995
Page 2


                 In connection with our giving of this opinion, we have
examined a copy of the Fund's Agreement and Declaration of Trust, as amended,
and originals or copies, certified or otherwise identified to our satisfaction,
of such other documents as we have deemed necessary or advisable for purposes
of this opinion.  As to various questions of fact material to our opinion, we
have relied upon information provided by officers of the Fund.

                 Based upon the foregoing, we are of the opinion that the
17,406,564 Shares issued by the Fund during its fiscal year ended July 31, 1995
were, when issued for payment as described in the Fund's Prospectuses referred
to above, legally issued, fully paid and non-assessable by the Fund.

                 Both the Delaware Business Trust Act and the Fund's Agreement
and Declaration of Trust, as amended (the "Trust Agreement"), provide that
shareholders of the Fund shall be entitled to the same limitation on personal
liability as is extended under the Delaware General Corporation Law to
stockholders of private corporations for profit.  There is a remote
possibility, however, that, under certain circumstances, shareholders of a
Delaware business trust may be held personally liable for that trust's
obligations to the extent that the courts of another state which does not
recognize such limited liability were to apply the laws of such state to a
controversy involving such obligations.  The Trust Agreement also provides for
indemnification out of Fund property for all loss and expense of any
shareholder held personally liable for the obligations of the Fund.  Therefore,
the risk of any shareholder incurring financial loss beyond his investment due
to shareholder liability is limited to circumstances in which the Fund itself
is unable to meet its obligations and the express disclaimer of shareholder
liabilities is determined not to be effective.

                                        Very truly yours,



                                        /s/ Ballard Spahr Andrews & Ingersoll







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