SELIGMAN HENDERSON GLOBAL FUND SERIES INC
24F-2NT, 1996-12-23
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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:        10/31/96


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
    111,438,908     1,320,128,585



<PAGE>





Securities and Exchange Commission                            December 23, 1996
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
    111,438,908     1,320,128,585

11.    Number and aggregate  sale price of  securities  issued during the fiscal
       year in connection with dividend reinvestment plans, if applicable:
       SHARES       SALE PRICE
    4,619,286       55,032,848
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):                                   $     1,320,128,585

        (ii)   Aggregate price of shares issued in connection with dividend
               reinvestment plans (from Item 11):                                        +       55,032,848

        (iii)  Aggregate price of shares redeemed or repurchased during the fiscal
               year (if applicable):                                                     -      411,399,980

        (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)}                                                           963,761,453

        (vi)    Multiplier prescribed by Section 6(b) of the Securities Act of 1933
                or other applicable law or regulation:                                   x         0.000345

        (vii)   Fee due {line (i) or line (v) multiplied by line (vi)}:
                                                                                         $       332,497.70
</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 23, 1996
                                   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)
                                 Thomas G. Rose
                                    Treasurer
Date:   December 23, 1996


<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, 1995 through October 31, 1996, the Company issued an
aggregate  of  116,058,194  shares of its  Capital  Stock,  $0.001  par value as
follows:

                 Seligman Henderson Emerging Markets Growth Fund      6,944,033
                 Seligman Henderson Global Growth Opportunities Fund 24,826,339
                 Seligman Henderson Global Smaller Companies Fund    42,514,312
                 Seligman Henderson Global Technology                38,149,349
                 Seligman Henderson International Fund                3,624,161

        2. In respect of the issuance of such  116,058,194  shares,  the Company
received  aggregate  cash  consideration  (net  of  any  sales  commissions)  of
$1,353,849,008 as follows:

                 Seligman Henderson Emerging Markets Growth Fund      49,099,375
                 Seligman Henderson Global Growth Opportunities Fund 186,657,742
                 Seligman Henderson Global Smaller Companies Fund    617,154,807
                 Seligman Henderson Global Technology                439,606,550
                 Seligman Henderson International Fund                61,330,534

        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, 1995  through  October
31, 1996, 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:   November 27, 1996

                                                       ------------------------
                                                                 Thomas G. Rose
                                                                      Treasurer



SULLIVAN & CROMWELL
<TABLE>
<S>                                                     <C>

NEW YORK TELEPHONE: (212) 558-4000
TELEX: 62694 (INTERNATIONAL) 127816 (DOMESTIC)
CABLE ADDRESS: LADYCOURT, NEW YORK                                        125 Broad Street, New York 10004-2498
FACSIMILE: (212) 558-3588 (125 Broad Street)                                          -------------
         (212) 558-3792 (250 Park Avenue)                                  250 PARK AVENUE, NEW YORK 10177-0021
                                                        1701 PENNSYLVANIA AVE, N.W. WASHINGTON, D.C. 20006-5805
                                                                444 SOUTH FLOWER STREET, LOS ANGELES 90071-2901
                                                                                  8, PLACE VENDOME, 75001 PARIS
                                                         ST. OLAVE'S HOUSE, 9a IRONMONGER LANE, LONDON EC2V 8EY
                                                                             101 COLLINS STREET, MELBOURNE 3000
                                                                 2-1, MARUNOUCHI I-CHOME, CHIYODA-KU, TOKYO 100
                                                                          NINE QUEEN'S ROAD, CENTRAL, HONG KONG
</TABLE>





                                            December 18, 1996




Seligman Henderson Global Fund Series, Inc.,
   100 Park Avenue,
      New York, New York  10017.

Dear Sirs:

          You have requested our opinion in connection with the notice which you
propose to file pursuant to Rule 24f-2 under the Investment Company Act of 1940
with respect to 6,944,033 shares of Capital Stock of your Seligman Henderson
Emerging Markets Growth Fund Class, $.001 par value (the "Emerging Markets
Growth Shares"), 24,826,339 shares of Capital Stock of your Seligman Henderson
Global Growth Opportunities Fund Class, $.001 par value (the "Global Growth
Opportunities Shares"), 41,489,225 shares of Capital Stock of your Seligman
Henderson Global Smaller Companies Fund Class, $.001 par value (the "Global
Smaller Companies Shares"), 34,763,471 shares of Capital Stock of your



<PAGE>


Seligman Henderson Global Fund Series, Inc.                                -2-



Seligman Henderson Global Technology Fund Class, $.001 par value (the "Global
Technology Shares"), and 3,415,840 shares of Capital Stock of your Seligman
Henderson International Fund Class, $.001 par value (the "International
Shares").

          As your counsel, we are familiar with your organization and corporate
status and validity of your Capital Stock.

          We advise you that, in our opinion, the Shares are legally and validly
issued, fully paid and nonassessable. The foregoing opinion is limited to the
General Corporation Law of the State of Maryland, and we are expressing no
opinion as to the effect of the laws of any other jurisdiction. With respect to
all matters of Maryland law pertaining to the Seligman Henderson Emerging
Markets Growth Fund Class, the Seligman Henderson Global Growth Opportunities
Fund Class, the Seligman Henderson Global Smaller Companies Fund Class, the
Seligman Henderson Global Technology Fund Class and the Seligman Henderson
International Fund Class, we have relied on the opinion of



<PAGE>


Seligman Henderson Global Fund Series, Inc.                                -3-



Piper & Marbury, dated December 13, 1996, and our opinion is subject to the same
qualifications and limitations with respect to such matters as are contained in
such opinion of Piper & Marbury. We consent to the filing of this opinion with
the Securities and Exchange Commission in connection with the notice referred to
above. In giving such consent, we do not thereby admit that we come within the
category of persons whose consent is required under Section 7 of the Securities
Act of 1933.

                                            Very truly yours,
                                            SULLIVAN & CROMWELL




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