SELIGMAN HENDERSON GLOBAL FUND SERIES INC
24F-2NT, 1997-12-22
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                     U.S. SECURITIES AND EXCHANGE COMMISSION

                             Washington, D.C. 20549


                                   FORM 24F-2
                        Annual Notice of Securities Sold
                             Pursuant to Rule 24f-2



1.      Name and address of issuer: Seligman Henderson Global Fund Series, Inc.
                                    100 Park Avenue
                                    New York, NY 10017


2.      Name of each series or class of funds for which this notice is filed:

       See Attachment I


3.      Investment Company Act File Number:                           811-6485

        Securities Act File Number:                                   33-44186


4.      Last day of fiscal year for which this notice is filed:       10/31/97


5.     Check box if this  notice  is being  filed  more than 180 days  after the
       close of the issuer's  fiscal year for  purposes of reporting  securities
       sold after the close of the fiscal  year but  before  termination  of the
       issuer's 24f-2 declaration:
                                                                       [      ]


6.      Date of termination of issuer's declaration under rule 24f-2(a)(1),
 if applicable:


7.     Number and  amount of  securities  of the same class or series  which had
       been  registered  under the Securities Act of 1933 other than pursuant to
       rule  24f-2 in a prior  fiscal  year,  but which  remained  unsold at the
       beginning of the fiscal year:


8.     Number and amount of securities registered during the fiscal year other
 than pursuant to rule 24f-2:


9.      Number and aggregate sale price of securities sold during the fiscal
 year:

         SHARES        SALE PRICE
     79,354,534     1,052,286,115



<PAGE>





Securities and Exchange Commission                          December 22, 1997
Division of Investment Management
                                           -2-

10. Number and aggregate sale price of securities sold during the fiscal year in
reliance upon registration pursuant to rule 24f-2:

         SHARES        SALE PRICE
     79,354,534     1,052,286,115

11.    Number and aggregate  sale price of  securities  issued during the fiscal
       year in connection with dividend reinvestment plans, if applicable:
       SHARES       SALE PRICE
    2,600,941       38,251,437
12.     Calculation of registration fee:
<TABLE>
<CAPTION>
<S>                                                                                    <C>

        (i)    Aggregate sale price of securities sold during the fiscal year in
               reliance on rule 24f-2 (from Item 10):                                  $     1,052,286,115

        (ii)   Aggregate price of shares issued in connection with dividend
               reinvestment plans (from Item 11):                                      +        38,251,437

        (iii)  Aggregate price of shares redeemed or repurchased during the fiscal
               year (if applicable):                                                   -       828,447,072

        (iv)   Aggregate price of shares redeemed or repurchased and previously
               applied as a reduction to filing fees pursuant to rule 24e-2 (if        +                 0
               applicable):

        (v)    Net aggregate price of securities sold and issued during the fiscal
               year in reliance on rule 24f-2 { line (i),  plus line (ii), less line
               (iii), plus line (iv)}                                                          262,090,480

        (vi)    Multiplier prescribed by Section 6(b) of the Securities Act of 1933
                or other applicable law or regulation:                                 x          0.000303

        (vii)   Fee due {line (i) or line (v) multiplied by line (vi)}:
                                                                                       $         79,421.36
</TABLE>


13.    Check box if fees are being remitted to the Commission's lockbox 
depository as described in section 3a of the Commission's
       Rules of Informal and Other Procedures (17 CFR 202.3a).         [      ]

        Date of  mailing or wire  transfer  of filing  fees to the  Commission's
lockbox depository:
                                                             December 22, 1997
                                   SIGNATURES

       This report has been signed below by the  following  persons on behalf of
       the issuer and in the capacities and on the dates indicated.

        By (Signature and Title)
                                        /s/
                                 Thomas G. Rose
                                    Treasurer
Date:   December 22, 1997


<PAGE>




                   SELIGMAN HENDERSON GLOBAL FUND SERIES, INC.


                                   FORM 24F-2
                        Annual Notice of Securities Sold
                             Pursuant to Rule 24f-2

                                  Attachment I

Name of each series or class of funds for which this notice is filed:

Seligman  Henderson  Emerging  Markets Growth Fund - Class A Seligman  Henderson
Emerging  Markets  Growth  Fund - Class B Seligman  Henderson  Emerging  Markets
Growth Fund - Class D Seligman  Henderson  Global  Growth  Opportunities  Fund -
Class A Seligman  Henderson Global Growth  Opportunities Fund - Class B Seligman
Henderson Global Growth  Opportunities  Fund - Class D Seligman Henderson Global
Smaller  Companies Fund - Class A Seligman  Henderson  Global Smaller  Companies
Fund -  Class B  Seligman  Henderson  Global  Smaller  Companies  Fund - Class D
Seligman  Henderson Global  Technology Fund - Class A Seligman  Henderson Global
Technology Fund - Class B Seligman  Henderson  Global  Technology Fund - Class D
Seligman Henderson International Fund - Class A Seligman Henderson International
Fund - Class B Seligman Henderson International Fund - Class D


<PAGE>


                   SELIGMAN HENDERSON GLOBAL FUND SERIES, INC.

        The  undersigned,  Treasurer of Seligman  Henderson  Global Fund Series,
Inc., a Maryland corporation (the "Company"), does hereby certify as follows:

        1. From November 1, 1996 through October 31, 1997, the Company issued an
aggregate  of  81,955,475  shares  of its  Capital  Stock,  $0.001  par value as
follows:

       Seligman Henderson Emerging Markets Growth Fund               14,293,232
       Seligman Henderson Global Growth Opportunities Fund            5,165,664
       Seligman Henderson Global Smaller Companies Fund              37,663,683
       Seligman Henderson Global Technology                          20,123,355
       Seligman Henderson International Fund                          4,709,541

        2. In respect of the  issuance of such  81,955,475  shares,  the Company
received  aggregate  cash  consideration  (net  of  any  sales  commissions)  of
$1,083,803,183 as follows:

      Seligman Henderson Emerging Markets Growth Fund               116,834,965
      Seligman Henderson Global Growth Opportunities Fund            45,480,723
      Seligman Henderson Global Smaller Companies Fund              555,563,035
      Seligman Henderson Global Technology                          281,742,395
      Seligman Henderson International Fund                          84,182,065

        3.  With  respect  to each  share  issued,  the  Company  received  cash
consideration not less than the net asset value per share on the date issued and
not less than $0.001.

        4. At no time during the period from  November 1, 1996  through  October
31, 1997, were any shares of the Company's  Capital Stock issued and outstanding
in excess of the following numbers of authorized shares:

      Seligman Henderson Emerging Markets Growth Fund               100,000,000
      Seligman Henderson Global Growth Opportunities Fund           500,000,000
      Seligman Henderson Global Smaller Companies Fund              500,000,000
      Seligman Henderson Global Technology                          500,000,000
      Seligman Henderson International Fund                         400,000,000

        In Witness  Whereof,  I have hereunto signed my name as Treasurer of the
Company.

Date:   December 22, 1997

                              ----------/s/-----------
                                   Thomas G. Rose
                                      Treasurer




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