LHS GROUP INC
S-1/A, 1997-05-14
COMPUTER PROGRAMMING SERVICES
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<PAGE>
 
      
   AS FILED WITH THE SECURITIES AND EXCHANGE COMMISSION ON MAY 14, 1997     
                                                     REGISTRATION NO. 333-22195
 
- -------------------------------------------------------------------------------
- -------------------------------------------------------------------------------
                      SECURITIES AND EXCHANGE COMMISSION
                            WASHINGTON, D.C. 20549
                               ---------------
                                
                             AMENDMENT NO. 6     
                                      TO
                                   FORM S-1
                            REGISTRATION STATEMENT
                                     UNDER
                          THE SECURITIES ACT OF 1933
                               ---------------
                                LHS GROUP INC.
            (EXACT NAME OF REGISTRANT AS SPECIFIED IN ITS CHARTER)
                                     7371                     58-2224883
        DELAWARE               (PRIMARY STANDARD           (I.R.S. EMPLOYER
     (STATE OR OTHER              INDUSTRIAL            IDENTIFICATION NUMBER)
     JURISDICTION OF          CLASSIFICATION CODE
    INCORPORATION OR                NUMBER)
      ORGANIZATION)
 
                       SIX CONCOURSE PARKWAY, SUITE 2700
                            ATLANTA, GEORGIA 30328
  (ADDRESS, INCLUDING ZIP CODE, AND TELEPHONE NUMBER, INCLUDING AREA CODE, OF
                   REGISTRANT'S PRINCIPAL EXECUTIVE OFFICES)
                               ---------------
                               JERRY W. BRAXTON
   CHIEF FINANCIAL OFFICER LHS GROUP INC. SIX CONCOURSE PARKWAY, SUITE 2700
          ATLANTA, GEORGIA 30328 (770) 280-3004 (770) 280-3099 (FAX)
(NAME, ADDRESS, INCLUDING ZIP CODE, AND TELEPHONE NUMBER, INCLUDING AREA CODE,
                             OF AGENT FOR SERVICE)
     THE COMMISSION IS REQUESTED TO SEND COPIES OF ALL COMMUNICATIONS TO:
 M. HILL JEFFRIES ALSTON & BIRD LLP   JOHN D. CAPERS, JR. KING & SPALDING
 1201 WEST PEACHTREE STREET ATLANTA,     191 PEACHTREE STREET ATLANTA,
  GEORGIA 30309-3424 (404) 881-7000    GEORGIA 30303-1763 (404) 572-4600
        (770) 881-7777 (FAX)                 (404) 572-5145 (FAX)
                               ---------------
  APPROXIMATE DATE OF COMMENCEMENT OF PROPOSED SALE TO THE PUBLIC: As soon as
practicable after this Registration Statement becomes effective.
  If any of the securities being registered on this Form are to be offered on
a delayed or continuous basis pursuant to Rule 415 under the Securities Act of
1933, other than securities offered only in connection with dividend or
interest reinvestment plans, check the following box. [_]
  If this Form is filed to register additional securities for an offering
pursuant to Rule 462(b) under the Securities Act, please check the following
box and list the Securities Act registration statement number of the earlier
effective registration statement for the same offering: [_]
  If this Form is a post-effective amendment filed pursuant to Rule 462(c)
under the Securities Act, check the following box and list the Securities Act
registration statement number of the earlier effective registration statement
for the same offering: [_]
  If delivery of the prospectus is expected to be made pursuant to Rule 434,
please check the following box: [_]
                        CALCULATION OF REGISTRATION FEE
 
- -------------------------------------------------------------------------------
- -------------------------------------------------------------------------------
<TABLE>
<CAPTION>
                                                    PROPOSED   PROPOSED
                                                     MAXIMUM    MAXIMUM
                                                    OFFERING   AGGREGATE   AMOUNT OF
  TITLE OF EACH CLASS OF SECURITIES   AMOUNT TO BE  PRICE PER  OFFERING   REGISTRATION
           TO BE REGISTERED           REGISTERED(1)   SHARE    PRICE(2)      FEE(3)
- --------------------------------------------------------------------------------------
<S>                                   <C>           <C>       <C>         <C>
Common Stock, $.01 par value(4)......   4,600,000    $14.00   $64,400,000   $19,516
- --------------------------------------------------------------------------------------
</TABLE>
- -------------------------------------------------------------------------------
(1) Includes 600,000 shares which the underwriters have the option to purchase
    solely to cover over-allotments.
(2) Estimated solely for the purpose of calculating the registration fee
    pursuant to Rule 457(a) under the Securities Act of 1933.
(3) A registration fee of $32,803 was paid by the Company with its initial
    filing of this Registration Statement on February 21, 1997.
(4) The shares of Common Stock are not being registered for the purpose of
    sales outside the United States.
                               ---------------
  THE REGISTRANT HEREBY AMENDS THIS REGISTRATION STATEMENT ON SUCH DATE OR
DATES AS MAY BE NECESSARY TO DELAY ITS EFFECTIVE DATE UNTIL THE REGISTRANT
SHALL FILE A FURTHER AMENDMENT WHICH SPECIFICALLY STATES THAT THIS
REGISTRATION STATEMENT SHALL THEREAFTER BECOME EFFECTIVE IN ACCORDANCE WITH
SECTION 8(A) OF THE SECURITIES ACT OF 1933 OR UNTIL THE REGISTRATION STATEMENT
SHALL BECOME EFFECTIVE ON SUCH DATE AS THE COMMISSION, ACTING PURSUANT TO SAID
SECTION 8(A), MAY DETERMINE.
 
- -------------------------------------------------------------------------------
- -------------------------------------------------------------------------------
<PAGE>
 
                                    PART II
 
                  INFORMATION NOT REQUIRED IN THE PROSPECTUS
 
ITEM 13. OTHER EXPENSES OF ISSUANCE AND DISTRIBUTION
 
  The following table sets forth the estimated expenses to be borne by the
Registrant in connection with the issuance and distribution of the securities
being registered hereby, other than underwriting discounts and commissions.
The Registrant is paying all of these expenses in connection with the issuance
and distribution of the securities.
 
<TABLE>
<CAPTION>
   SEC registration fee................................................     $32,803
   <S>                                                                     <C>
   NASD filing fee.....................................................      11,325
   Nasdaq National Market listing fee..................................      50,000
   Accountants' fees and expenses......................................     200,000
   Legal fees and expenses.............................................     200,000
   Printing and engraving costs........................................     160,000
   Blue Sky fees and expenses..........................................       5,000
   Transfer agent and registrar fees...................................       5,000
   Miscellaneous.......................................................      15,872
                                                                           --------
       Total...........................................................    $680,000
                                                                           ========
</TABLE>
 
ITEM 14. INDEMNIFICATION OF DIRECTORS AND OFFICERS
 
  The Company's By-Laws provide for indemnification of directors and officers
of the Company to the full extent permitted by Delaware law.
 
  Section 145 of the General Corporation Law of the State of Delaware provides
generally that a corporation may indemnify any person who was or is a party or
is threatened to be made a party to any threatened, pending or completed
action, suit or proceeding, whether civil, criminal, administrative or
investigative, by reason of the fact that he is or was a director, officer,
employee or agent of the corporation, or is or was serving at its request in
such capacity in another corporation or business association, against expenses
(including attorneys' fees), judgments, fines and amounts paid in settlement
actually and reasonably incurred by him in connection with such action, suit
or proceeding if he acted in good faith and in a manner he reasonably believed
to be in or not opposed to the best interests of the corporation, and, with
respect to any criminal action or proceeding, had no reasonable cause to
believe his conduct was unlawful. In addition, pursuant to the authority of
Delaware law, the Certificate of Incorporation of the Company also eliminates
the monetary liability of directors to the fullest extent permitted by
Delaware law.
 
ITEM 15. RECENT SALES OF UNREGISTERED SECURITIES
 
  On December 21, 1995, in connection with the reorganization of LHS, the
Company issued shares of its Common Stock to certain of its officers and
certain holders of shares in LHS Communications Systems Inc. ("LHS
Communications"), LHS Holding Germany GmbH ("LHS Germany") and
 
                                     II-1
<PAGE>
 
LHS Europe Ltd. ("LHS Europe"), which companies are affiliates of the Company.
These shares were issued in the amounts and for the consideration as follows:
 
<TABLE>
<CAPTION>
 NAME                  NUMBER OF SHARES OF LHS(1) CONSIDERATION TENDERED
 ----                  -------------------------- ----------------------
 Hartmut Lademacher             193,676           250 LHS Communications
                                                  shares; 22.23% interest in
                                                  LHS Germany; 23,704,083 LHS
                                                  Europe shares; Forgiveness of
                                                  $8,270,000 loan to LHS
                                                  Germany
 <C>                   <C>                        <S>
 Dr. Joachim Hertel             193,676           250 LHS Communications
                                                  shares; 22.23% interest in
                                                  LHS Germany; 23,704,083 LHS
                                                  Europe shares; Forgiveness of
                                                  $8,270,000 loan to LHS
                                                  Germany
 Manfred Hellwig                100,745           13.65% interest in LHS
                                                  Germany; 17,808,366 LHS
                                                  Europe shares; Forgiveness of
                                                  $5,080,000 loan to LHS
                                                  Germany
 Dieter Pfisterer                93,078           200 LHS Communications
                                                  shares; 3.93% interest in LHS
                                                  Germany; 12,596,195 LHS
                                                  Europe shares; Forgiveness of
                                                  $1,460,000 loan to LHS
                                                  Germany
 Dr. Rainer Zimmermann           93,078           12.67% interest in LHS
                                                  Germany; 16,361,034 LHS
                                                  Europe shares; Forgiveness of
                                                  $4,710,000 loan to LHS
                                                  Germany
 Otto Wipprecht                  50,374           150 LHS Communications
                                                  shares; 5.56% interest in LHS
                                                  Germany; 3,149,180 LHS Europe
                                                  shares; Forgiveness of
                                                  $2,070,000 loan to LHS
                                                  Germany
 Eberhard Czempiel               23,249           4.41% interest in LHS
                                                  Germany; 2,499,182 LHS Europe
                                                  shares; Forgiveness of
                                                  $1,640,000 loan to LHS
                                                  Germany
 William Bobb                    15,500           100 LHS Communications shares
 Dr. Wolf Gaede                  7,750            50 LHS Communications shares
 Jurgen Spengler                 3,874            0.33% interest in LHS
                                                  Germany; 187,877 LHS Europe
                                                  shares; Forgiveness of
                                                  $120,000 loan to LHS Germany
</TABLE>
- --------
(1)These shares were subsequently adjusted for a 20-to-1 stock split.
 
  These transactions were exempt from registration pursuant to Section 4(2) of
and Regulation D under the Securities Act as a limited offer and sale of
securities to accredited investors or persons who have such knowledge and
experience in financial and business matters that they are capable of
evaluating the merits and risks of the prospective investment.
 
  On December 22, 1995, the Company sold 225,000 shares of Series A
Convertible Preferred Stock to investors at $88.89 per share. Each of the
investors was an accredited investor. Each share of Series A Convertible
Preferred Stock was, at the time of issuance, convertible into one share of
the Company's Common Stock (adjusted to 20 shares following the stock split).
These transactions were exempt from registration pursuant to Section 4(2) of
and Regulation D under the Securities Act as a limited offer and sale of
securities to accredited investors.
 
  On July 15, 1996, the Company sold 93,078 shares of Common Stock to
investors at $107.44 per share. These shares were subsequently adjusted for a
20-to-1 stock split. Each of the investors was an accredited investor. These
transactions were exempt from registration pursuant to Section 4(2) of and
Regulation D under the Securities Act as a limited offer and sale of
securities to accredited investors.
 
  On October 18, 1996, the Company sold 50,000 shares of Common Stock to
William O. Grabe, a director of the Company, upon the exercise of stock
options. Mr. Grabe paid an exercise price of $5.30 per share, equal to
$265,000. This transaction was exempt from registration pursuant to Section
4(2) of and Regulation D under the Securities Act as an offer and sale of
securities to an accredited investor.
 
                                     II-2
<PAGE>
 
ITEM 16. EXHIBITS AND FINANCIAL STATEMENT SCHEDULES
 
  (a) EXHIBITS.
 
<TABLE>   
<CAPTION>
 EXHIBIT
 NUMBER      DESCRIPTION OF EXHIBITS
 -------     -----------------------
 <C>     <C> <S>
  1.1**  --  Form of U.S. Underwriting Agreement between the Company, certain
             stockholders of the Company and Goldman Sachs & Co., Cowen &
             Company and Robertson, Stephens & Company LLC, as representatives
             of the several underwriters.
  1.2**  --  Form of International Underwriting Agreement between the Company,
             certain stockholders of the Company and Goldman Sachs
             International, Cowen & Company and Robertson, Stephens & Company
             LLC, as representatives of the several underwriters.
  3.1    --  Certificate of Incorporation, as amended.
  3.2**  --  By-Laws.
  4.1**  --  Specimen Common Stock Certificate.
  5.1**  --  Opinion of Alston & Bird LLP (including consent).
 10.1**  --  Preferred Stock Purchase Agreement dated December 22, 1995 among
             the Company, General Atlantic Partners 23, L.P. and GAP
             Coinvestment Partners, L.P.
 10.2**  --  Common Stock Purchase Agreement dated July 15, 1996 among the
             Company, General Atlantic Partners 31, L.P. and GAP Coinvestment
             Partners, L.P.
 10.3**  --  Amended and Restated Stockholders Agreement dated July 15, 1996
             among the Company, General Atlantic Partners 23, L.P., General
             Atlantic Partners 31, L.P., GAP Coinvestment Partners, L.P. and
             the other stockholders named therein.
 10.4**  --  Registration Rights Agreement dated July 15, 1996 among the
             Company, General Atlantic Partners 23, L.P., General Atlantic
             Partners 31, L.P., GAP Coinvestment Partners, L.P. and the other
             stockholders named therein.
 10.5**  --  Credit line of DM5,000,000 from BHF-Bank to LHS Holding Germany
             GmbH dated March 19, 1996.
 10.6**  --  Employment Agreement dated as of April 14, 1997, between Hartmut
             Lademacher and LHS Group Inc.
 10.7**  --  Employment Agreement dated as of April 14, 1997, between Dr.
             Joachim Hertel and LHS Group Inc.
 10.8**  --  Contract for Employment dated May 21, 1996, between Erik Froberg
             and LHS Holding Germany GmbH.
 11.1**  --  Statement re computation of per share earnings.
 21.1**  --  Subsidiaries.
 23.1**  --  Consent of Alston & Bird LLP (contained in Exhibit 5.1)
 23.2**  --  Consent of Ernst & Young LLP.
 24.1**  --  Power of Attorney with regard to amendments to this Registration
             Statement executed by the directors and officers of the Company is
             included on the signature page of this Registration Statement
             appearing on page II-5.
 27.1**  --  Financial Data Schedule.
</TABLE>    
- --------
**Previously filed.
 
  (b) FINANCIAL STATEMENT SCHEDULES.
 
  The following financial statement schedule is included in this Registration
Statement:
 
    II Valuation and Qualifying Accounts
 
  All other financial statement schedules are omitted because they are not
required or are not applicable.
 
                                     II-3

<PAGE>
 
ITEM 17. UNDERTAKINGS
 
  Insofar as indemnification for liabilities arising under the Securities Act
of 1933 may be permitted to directors, officers and controlling persons of the
Registrant pursuant to the foregoing provisions, or otherwise, the Registrant
has been advised that in the opinion of the Securities and Exchange Commission
such indemnification is against public policy as expressed in the Securities
Act and is, therefore, unenforceable. In the event that a claim for
indemnification against such liabilities (other than the payment by the
Registrant of expenses incurred or paid by a director, officer or controlling
person of the Registrant in the successful defense of any action, suit or
proceeding) is asserted by such director, officer or controlling person in
connection with the securities being registered, the Registrant will, unless
in the opinion of its counsel the matter has been settled by controlling
precedent, submit to a court of appropriate jurisdiction the question whether
such indemnification by it is against public policy as expressed in the
Securities Act and will be governed by the final adjudication of such issue.
 
  The undersigned Registrant hereby undertakes to provide to the
representatives of the Underwriters at the closing specified in the
underwriting agreements certificates in such denominations and registered in
such names as required by the representatives of the Underwriters to permit
prompt delivery to each purchaser.
 
  The undersigned Registrant hereby undertakes that:
 
    (1) For purposes of determining any liability under the Securities Act of
  1933, the information omitted from the form of prospectus filed as part of
  this Registration Statement in reliance upon Rule 430A and contained in a
  form of prospectus filed by the Registrant pursuant to Rules 424(b)(1) or
  (4) or 497(h) under the Securities Act shall be deemed to be part of this
  Registration Statement as of the time it was declared effective.
 
    (2) For the purpose of determining any liability under the Securities Act
  of 1933, each post-effective amendment that contains a form of prospectus
  shall be deemed to be a new registration statement relating to the
  securities offered therein, and the offering of such securities at that
  time shall be deemed to be the initial bona fide offering thereof.
 
                                     II-4
<PAGE>
 
                                  SIGNATURES
 
  Pursuant to the requirements of the Securities Act of 1933, the Registrant
has duly caused this Amendment No. 5 to Registration Statement to be signed on
its behalf by the undersigned, thereunto duly authorized, in the City of
Atlanta, State of Georgia, on May 12, 1997.
 
                                          LHS GROUP INC.
 
 
                                          By:  /s/ Hartmut Lademacher
                                             --------------------------------
                                             Hartmut Lademacher
                                             Chairman of the Board and
                                             Chief Executive Officer
 
 
  Pursuant to the requirements of the Securities Act of 1933, this Amendment
No. 6 to Registration Statement has been signed by the following persons in
the capacities indicated on May 12,1997.
 
<TABLE>
<CAPTION>
            SIGNATURE                              TITLE
            ---------                              -----
<S>                                <C>
     /s/ Hartmut Lademacher        Chairman of the Board and Chief
_________________________________   Executive Officer (Principal
       HARTMUT LADEMACHER           Executive Officer)

      /s/ Jerry W. Braxton         Executive Vice President, Chief
_________________________________   Financial Officer, Treasurer and
        JERRY W. BRAXTON            Director (Principal Financial and
                                    Accounting Officer)

     /s/ Dr. Wolf J. Gaede*        Executive Vice President, General
_________________________________   Counsel and Director
        DR. WOLF J. GAEDE

         /s/ Ulf Bohla*            Director
_________________________________
            ULF BOHLA

      /s/ William E. Ford*         Director
_________________________________
         WILLIAM E. FORD

      /s/ William O. Grabe*        Director
_________________________________
        WILLIAM O. GRABE

     /s/ George F. Schmitt*        Director
_________________________________
        GEORGE F. SCHMITT
</TABLE>
 
- --------
* Hartmut Lademacher signed on behalf of such person as attorney-in-fact.
 
                                     II-5

<PAGE>
 
                            CERTIFICATE OF AMENDMENT
                            ------------------------

                                       OF
                                       --

                          CERTIFICATE OF INCORPORATION
                          ----------------------------

                                       OF
                                       --

                                 LHS GROUP INC.
                                 --------------

       LHS Group Inc. (the "Corporation"), a corporation organized and existing
under and by the virtue of the General Corporation Law of the State of Delaware,
DOES HEREBY CERTIFY:

                                      ONE
                                      ---

     The Board of Directors of the Corporation, at a meeting duly called and
held on February 10, 1997, unanimously adopted resolutions approving a proposed
amendment to Article 6 of the Certificate of Incorporation of the Corporation
and declaring that such amendment be submitted to that stockholders of the
Corporation for their approval.  Such resolutions approved the deletion of
Article 6 of the Certificate of Incorporation in its entirety and the
substitution in lieu thereof of the following:

     6.  (a)  The Board of Directors shall be divided into three classes,
designated Class I, Class II and Class III, as nearly equal in number as the
then total number of directors constituting the whole Board permits, with the
term of office of one class expiring each year.  At the annual meeting of
stockholders in 1997, directors of Class I shall be elected to hold office for a
term expiring at the next succeeding annual meeting, directors of Class II shall
be elected to hold office for a term expiring at the second succeeding annual
meeting, and directors of Class III shall be elected to hold office for a term
expiring at the third succeeding annual meeting.  At each annual meeting of
stockholders, the successors to the class of directors whose term shall then
expire shall be elected to hold office for a term expiring at the third
succeeding annual meeting.

     (b) The number of directors constituting the whole Board shall be as fixed
from time to time by vote of a majority of the whole Board; provided, however,
that the number of directors shall not be less than three and that the number
shall not be reduced so as to shorten the term of any director in office.  The
number of directors constituting the whole Board shall hereafter be seven until
otherwise fixed by a majority of the whole Board in accordance with the
preceding sentence.  Any vacancies in the Board for any reason, and any newly
created directorships resulting from any increase in the directors, may be
filled by the Board, acting by a majority of the directors then in office, or by
its sole remaining director.  Any director so chosen shall hold office until the
next election of the class for which such director shall have been chosen and
until his successor shall be elected and qualify, subject, however, to prior
death, resignation, retirement, disqualification or removal from office.  Any
newly created or eliminated directorships resulting from an increase or decrease
in the authorized number of directors shall be apportioned by the Board among
the three classes of directors so as to maintain such classes as nearly equal as
possible.
<PAGE>
 
     (c) Any director, or the entire Board of Directors, may be removed from
office at anytime, with or without cause, but only by the affirmative vote of
the holders of at least 80% of all classes of stock of the Corporation entitled
to vote in the election of directors, considered for the purposes of this
Article as one class.

                                      TWO
                                      ---

       The foregoing amendment to delete the present Article 6 of the
Certificate of Incorporation and to substitute in lieu thereof a new Article 6
was submitted to the stockholders of the Corporation and approved by unanimous
written consent pursuant to Section 228 and 242 of the Delaware General
Corporation Law. The foregoing amendment was duly adopted by written consent on
May 13, 1997 by the holders of all of the issued and outstanding shares of
Common Stock of the Corporation in accordance with the General Corporation Law
of the State of Delaware.

     IN WITNESS WHEREOF, LHS Group Inc. has caused this Certificate of Amendment
of Certificate of Incorporation to be signed by its duly authorized officer as
of the 13th day of May, 1997.

                                       LHS GROUP INC.


                                       By: /s/ Dr. Wolf J. Gaede
                                          -------------------------------------
                                           Dr. Wolf J. Gaede
                                           Secretary

                                       2
<PAGE>
 
                                                                     EXHIBIT 3.1
 
                         CERTIFICATE OF INCORPORATION
                                       OF
                         LHS GROUP HOLDING CORPORATION
     The undersigned incorporator, in order to form a corporation under the
General Corporation Law of the State of Delaware (the "General Corporation
Law"), certifies as follows:

     1.   Name.  The name of the corporation is LHS Group Holding Corporation
          ----                                                               
(the "Corporation").

     2.   Address; Registered Office and Agent.  The address of the
          ------------------------------------                     
Corporation's registered office is 9 East Loockerman Street, City of Dover,
County of Kent, State of Delaware; and its registered agent at such address is
National Corporate Research, Ltd.

     3.   Purposes.  The purpose of the Corporation is to engage in any lawful
          --------                                                            
act or activity for which corporations may be organized under the General
Corporation Law.

     4.   Authorized Capital.  The Corporation is authorized to issue two
          ------------------                                             
classes of stock to be designated, respectively, "Common Stock" and "Preferred
Stock."  The total number of shares of stock that the corporation shall have
authority to issue shall be 1,225,000, consisting of 1,000,000 shares of Common
Stock, having a par value of one cent ($.01) per share, and 225,000 shares of
Preferred Stock, having a par value of one cent ($.01) per share.

          4.1  The shares of Preferred Stock may be issued from time to time in
one or more series of any number of shares, provided that the aggregate number
of shares issued and not canceled of any and all such series shall not exceed
the total number of shares of Preferred Stock hereinabove authorized.  The Board
of Directors of the Corporation (the "Board") is hereby vested with authority to
fix by resolution or resolutions the powers and the designations, preferences
and relative, participating, option or other special rights, and qualifications,
limitations or restrictions thereof, including, without limitation, the voting
rights, the dividend rate, conversion or exchange rights, redemption price and
<PAGE>
 
liquidation preference, of any series of shares of Preferred Stock, and to fix
the number of shares constituting any such series, and to increase or decrease
the number of shares of any such series (but not below the number of shares
thereof then outstanding).  In case the number of shares of any such series
shall be so decreased, the shares constituting such decrease shall resume the
status which they had prior to the adoption of the resolution or resolutions
originally fixing the number of shares of such series.  Any of the powers and
the designations, preferences, rights and qualifications, limitations or
restrictions of any such series of Preferred Stock may be made dependent upon
facts ascertainable outside of the resolution or resolutions providing for the
issue of such Preferred Stock adopted by the Board pursuant to the authority
vested in it by this Section 4.1, provided that the manner in which such facts
shall operate upon any of the powers and the designations, preferences, rights
and qualifications, limitations or restrictions of such series of Preferred
Stock is clearly and expressly set forth in the resolution or resolutions
providing for the issue of such Preferred Stock.  The term "facts" as used in
the next preceding sentence shall have the meaning given to it in Section 151(a)
of the General Corporation Law.  Shares of Preferred Stock of any series that
have been redeemed (whether through the operation of a sinking fund or
otherwise) or that if convertible or exchangeable, have been converted into or
exchanged for shares of any other class or classes shall have the status of
authorized and unissued shares of Preferred Stock of the same series and may be
reissued as a part of the series of which they were originally a part or may be
reclassified and reissued as part of a new series of shares of Preferred Stock
to be created by resolution or resolutions of the Board or as part of any other
series of shares of Preferred Stock, all subject to the conditions or
restrictions on issuance set forth in the resolution or resolutions adopted by
the Board providing for the issue of any series of shares of Preferred Stock.

          4.2  (a)  Subject to the provisions of any applicable law or of the
By-laws of the Corporation, as from time to time amended, with respect to the
closing of the transfer books or the fixing of a record date for the

                                      -2-
<PAGE>
 
determination of stockholders entitled to vote and except as otherwise provided
by the resolution or resolutions providing for the issue of any series of shares
of Preferred Stock, the holders of outstanding shares of Common Stock shall
exclusively possess voting power for the election of directors and for all other
purposes, each holder of record of shares of Common Stock being entitled to one
vote for each share of Common Stock standing in his or her name on the books of
the Corporation.

               (b) Except as otherwise provided by the resolution or resolutions
providing for the issue of any series of shares of Preferred Stock, the holders
of shares of Common Stock shall be entitled, to the exclusion of the holders of
shares of Preferred Stock of any and all series, to receive such dividends and
other distributions (other than pursuant to clause (c) below) as from time to
time may be declared by the Board.

               (c) Except as otherwise provided by the resolution or resolutions
providing for the issue of any series of shares of Preferred Stock, in the event
of any liquidation, dissolution or winding up of the Corporation, whether
voluntary or involuntary, the holders of shares of Common Stock shall be
entitled, to the exclusion of the holders of shares of Preferred Stock of any
and all series, to share, ratably according to the number of shares of Common
Stock held by them, in all remaining assets of the Corporation available for
distribution to its stockholders.

          4.3  Subject to the provisions of this Certificate of Incorporation
and except as otherwise provided by law, the stock of the Corporation,
regardless of class, may be issued for such consideration and for such corporate
purposes as the Board may from time to time determine.

     5.   Name and Mailing Address of Incorporator.  The name and mailing
          ----------------------------------------                       
address of the incorporator are:  Janet B. Lapidus, Esq., c/o Simpson Thacher &
Bartlett, 425 Lexington Avenue, New York, New York  10017.

                                      -3-
<PAGE>
 
     6.   Election of Directors.  Members of the Board of Directors of the
          ---------------------                                           
Corporation (the "Board") may be elected either by written ballot or by voice
vote.

     7.   Limitation of Liability.  No director of the Corporation shall be
          -----------------------                                          
personally liable to the Corporation or its stockholders for monetary damages
for breach of fiduciary duty as a director, provided that this provision shall
not eliminate or limit the liability of a director (a) for any breach of the
director's duty of loyalty to the Corporation or its stockholders, (b) for acts
or omissions not in good faith or which involve intentional misconduct or a
knowing violation of law, (c) under Section 174 of the General Corporation Law
or (d) for any transaction from which the director derived any improper personal
benefits.

     Any repeal or modification of the foregoing provision shall not adversely
affect any right or protection of a director of the Corporation existing at the
time of such repeal or modification.

     8.   Indemnification.
          --------------- 

          8.1  To the extent not prohibited by law, the Corporation shall
indemnify any person who is or was made, or threatened to be made, a party to
any threatened, pending or completed action, suit or proceeding (a
"Proceeding"), whether civil, criminal, administrative or investigative,
including, without limitation, an action by or in the right of the Corporation
to procure a judgment in its favor, by reason of the fact that such person, or a
person of whom such person is a legal representative, is or was a director or
officer of the Corporation, or, at the request of the Corporation, is or was
serving as a director or officer of any other corporation or in a capacity with
comparable authority or responsibilities for any partnership, limited liability
company, joint venture, trust, employee benefit plan or other enterprise (an
"Other Entity"), against judgments, fines, penalties, excise taxes, amounts paid
in settlement and costs, charges and expenses (including attorneys' fees,
disbursements and other charges).  Persons who are not directors or officers of
the Corporation (or otherwise entitled to indemnification pursuant to the

                                      -4-
<PAGE>
 
preceding sentence) may be similarly indemnified in respect of service to the
Corporation or to an Other Entity at the request of the Corporation to the
extent the Board at any time specifies that such persons are entitled to the
benefits of this Section 8.

          8.2  The Corporation shall, from time to time, reimburse or advance to
any director or officer or other person entitled to indemnification hereunder
the funds necessary for payment of expenses, including attorneys' fees and
disbursements, incurred in connection with any Proceeding, in advance of the
final disposition of such Proceeding; provided, however, that, if required by
                                      --------  -------                      
the General Corporation Law, such expenses incurred by or on behalf of any
director or officer or other person may be paid in advance of the final
disposition of a Proceeding only upon receipt by the Corporation of an
undertaking, by or on behalf of such director or officer (or other person
idemnified hereunder), to repay any such amount so advanced if it shall
ultimately be determined by final judicial decision from which there is no
further right of appeal that such director, officer or other person is not
entitled to be indemnified for such expenses.

          8.3  The rights to indemnification and reimbursement or advancement of
expenses provided by, or granted pursuant to, this Section 8 shall not be deemed
exclusive of any other rights to which a person seeking indemnification or
reimbursement or advancement of expenses may have or hereafter be entitled under
any statute, this Certificate of Incorporation, the By-laws of the Corporation
(the "By-laws"), any agreement, any vote of stockholders or disinterested
directors or otherwise, both as to action in his or her official capacity and as
to action in another capacity while holding such office.

          8.4  The rights to indemnification and reimbursement or advancement of
expenses provided by, or granted pursuant to, this Section 8 shall continue as
to a person who has ceased to be a director or officer (or other person
indemnified hereunder) and shall inure to the benefit of the executors,
administrators, legatees and distributees of such person.

                                      -5-
<PAGE>
 
          8.5  The Corporation shall have power to purchase and maintain
insurance on behalf of any person who is or was a director, officer, employee or
agent of the Corporation, or is or was serving at the request of the Corporation
as a director, officer, employee or agent of an Other Entity, against any
liability asserted against such person and incurred by such person in any such
capacity, or arising out of such person's status as such, whether or not the
Corporation would have the power to indemnify such person against such liability
under the provisions of this Section 8, the By-laws or under Section 145 of the
General Corporation Law or any other provision of law.

          8.6  The provisions of this Section 8 shall be a contract between the
Corporation, on the one hand, and each director and officer who serves in such
capacity at any time while this Section 8 is in effect and any other person
entitled to indemnification hereunder, on the other hand, pursuant to which the
Corporation and each such director, officer, or other person intend to be, and
shall be, legally bound.  No repeal or modification of this Section 8 shall
affect any rights or obligations with respect to any state of facts then or
theretofore existing or thereafter arising or any proceeding theretofore or
thereafter brought or threatened based in whole or in part upon any such state
of facts.

          8.7  The rights to indemnification and reimbursement or advancement of
expenses provided by, or granted pursuant to, this Section 8 shall be
enforceable by any person entitled to such indemnification or reimbursement or
advancement of expenses in any court of competent jurisdiction.  The burden of
proving that such indemnification or reimbursement or advancement of expenses is
not appropriate shall be on the Corporation.  Neither the failure of the
Corporation (including its Board, its independent legal counsel and its
stockholders) to have made a determination prior to the commencement of such
action that such indemnification or reimbursement or advancement of expenses is
proper in the circumstances nor an actual determination by the Corporation
(including its Board, its independent legal counsel and its stockholders) that
such person is not entitled to such indemnification or reimbursement or

                                      -6-
<PAGE>
 
advancement of expenses shall constitute a defense to the action or create a
presumption that such person is not so entitled.  Such a person shall also be
indemnified for any expenses incurred in connection with successfully
establishing his or her right to such indemnification or reimbursement or
advancement of expenses, in whole or in part, in any such proceeding.

          8.8  Any director or officer of the Corporation serving in any
capacity (a) another corporation of which a majority of the shares entitled to
vote in the election of its directors is held, directly or indirectly, by the
Corporation or (b) any employee benefit plan of the Corporation or any
corporation referred to in clause (a) shall be deemed to be doing so at the
request of the Corporation.

          8.9  Any person entitled to be indemnified or to reimbursement or
advancement of expenses as a matter of right pursuant to this Section 8 may
elect to have the right to indemnification or reimbursement or advancement of
expenses interpreted on the basis of the applicable law in effect at the time of
the occurrence of the event or events giving rise to the applicable Proceeding,
to the extent permitted by law, or on the basis of the applicable law in effect
at the time such indemnification or reimbursement or advancement of expenses is
sought.  Such election shall be made, by a notice in writing to the Corporation,
at the time indemnification or reimbursement or advancement of expenses is
sought; provided, however, that if no such notice is given, the right to
        --------  -------                                               
indemnification or reimbursement or advancement of expenses shall be determined
by the law in effect at the time indemnification or reimbursement or advancement
of expenses is sought.

     9.   Adoption, Amendment and/or Repeal of By-laws.  The Board may from time
          --------------------------------------------                          
to time adopt, amend or repeal the By-laws of the Corporation pursuant to the
terms of such By-laws; provided, however, that any By-laws adopted or amended by
                       --------  -------                                        
the Board may be amended or repealed, and any By-laws may be adopted, by the
stockholders of the Corporation, subject to the terms of such By-laws, by vote

                                      -7-
<PAGE>
 
of a majority of the holders of shares of stock of the Corporation entitled to
vote in the election of directors of the Corporation.

     IN WITNESS WHEREOF, the undersigned has executed this Certificate of
Incorporation this 19th day of December, 1995.

                                      /s/ Janet B. Lapidus
                                      ----------------------------------
                                      Janet B. Lapidus, Incorporator

                                      -8-
<PAGE>
 
                         LHS GROUP HOLDING CORPORATION
                    CERTIFICATE OF THE POWERS, DESIGNATIONS,
                         PREFERENCES AND RIGHTS OF THE
                     SERIES A CONVERTIBLE PREFERRED STOCK,
                            PAR VALUE $.01 PER SHARE

             Pursuant to Section 151 of the General Corporation Law
                            of the State of Delaware


     LHS Group Holding Corporation, a Delaware corporation (the "Corporation"),
does hereby certify that pursuant to the provisions of Section 151 of the
General Corporation Law of the State of Delaware, the Board of Directors of the
Corporation (the "Board of Directors") duly adopted by the unanimous written
consent of the Board of Directors the following resolution, which resolution
remains in full force and effect on the date hereof:

     WHEREAS, the Board of Directors is authorized, within the limitations and
restrictions stated in the Certificate of Incorporation of the Corporation, to
provide by resolution or resolutions for the powers and designations of each
series of Preferred Stock, par value $.01 per share, of the Corporation (the
"Preferred Stock"), and the voting powers, full or limited, or without voting
powers, preferences and relative, participating, optional or other special
rights, and qualifications, limitations or restrictions thereof, as are not
stated and expressed in the Certificate of Incorporation, or any amendment
thereto, including (but without limiting the generality of the foregoing) such
provisions as may be desired concerning voting, redemption, dividends,
dissolution or the distribution of assets and such other subjects or matters as
may be fixed by resolution or resolutions of the Board of Directors under the
General Corporation Law of the State of Delaware; and

     WHEREAS, it is the desire of the Board of Directors, pursuant to its
authority as aforesaid, to authorize and fix the terms of a series of preferred
stock and the number of shares constituting such series.

     NOW, THEREFORE, BE IT RESOLVED, that there is hereby authorized such series
of Preferred Stock on the terms and with the provisions set forth herein:

     1.   Designation and Number of Shares.  The designation of the series of
          --------------------------------                                   
Preferred Stock authorized by this resolution shall be "Series A Convertible
Preferred Stock" (the "Series A Preferred Stock").  The authorized number of
shares of Series A Preferred Stock shall be 225,000.
<PAGE>
 
     2.   Rank.  The Series A Preferred Stock shall, with respect to rights upon
          ----                                                                  
the liquidation, winding up and dissolution of the Corporation, rank senior to
(a) all classes of common stock of the Corporation (including, without
limitation, the Common Stock, par value $.01 per share, of the Corporation (the
"Common Stock")) and (b) each other class or series of Capital Stock of the
Corporation hereafter created which does not expressly rank pari passu with or
                                                            ---- -----        
senior to the Series A Preferred Stock.  All Capital Stock of the Corporation to
which the Series A Preferred Stock ranks senior with respect to dividends and
upon liquidation, dissolution, winding up or otherwise is collectively referred
to herein as the "Junior Securities"; and all Capital Stock of the Corporation
authorized by the Board of Directors after the date hereof which may rank on
parity as to any one of dividends, or upon liquidation, dissolution, winding up
or otherwise and does not rank senior as to any of the same are collectively
referred to herein as "Parity Securities."

     3.   Dividends.  Beginning on the date of issuance of the Series A
          ---------                                                    
Preferred Stock, if the Board of Directors of the Corporation shall declare a
dividend or make any other distribution (including, without limitation, in cash
or other property or assets), to holders of shares of Common Stock, then the
holders of each share of Series A Preferred Stock shall be entitled to receive,
when and as adopted by the Board of Directors, out of funds legally available
therefor, a dividend or distribution in an amount equal to the amount of such
dividend or distribution received by a holder of the number of shares of Common
Stock for which such share of Series A Preferred Stock is convertible on the
record date for such dividend or distribution.  Any such amount shall be paid to
the holders of shares of Series A Preferred Stock at the same time such dividend
or distribution is made to holders of Common Stock.

     4.   Liquidation Preference.
          ---------------------- 

          (a) In the event of any voluntary or involuntary liquidation,
dissolution or winding up of the affairs of the Corporation, the holders of
shares of Series A Preferred Stock then outstanding shall be entitled to be paid
for each share held thereby, out of the assets of the Corporation available for
distribution to its stockholders, an amount in cash equal to $88.89 for each
such share outstanding (the "Liquidation Preference") plus an amount in cash
equal to all declared and unpaid dividends thereon to the date fixed for
liquidation, dissolution or winding up, before any payment shall be made or any
assets distributed to the holders of any shares of Junior Securities.  Except as
provided in the preceding sentence, holders of the Series A Preferred Stock
shall not be entitled to any distribution in the event of any liquidation,
dissolution or winding up of the affairs of the Corporation.  If the assets of
the Corporation are not sufficient to pay in full the foregoing liquidation
payments payable to the holders of outstanding shares of the Series A Preferred
Stock and any Parity Securities, then the holders of all shares of Series A
Preferred Stock and any Parity Securities shall share ratably in such
distribution of assets in accordance with the amount that would be payable on
such distribution if the amounts to which the holders of outstanding shares of
Series A Preferred Stock and the holders of 

                                     -10-
<PAGE>
 
outstanding shares of such Parity Securities, if any, are entitled were paid in
full. After the holder of all shares of Series A Preferred Stock any Parity
Securities shall have been paid in full the amounts to which they are entitled
under this paragraph 4, the remaining net assets of the Corporation may be
distributed to the holders of Junior Securities. Written notice of such
liquidation, dissolution or winding up, stating a payment date, the amount of
the Liquidation Payments and the place where such Liquidation Payments shall be
payable, shall be delivered in person, mailed by certified or registered mail,
return receipt requested, or sent by telecopier or telex, not less than ten (10)
days prior to the payment date stated therein, to the holders of record of the
Series A Preferred Stock, such notice to be addressed to each such holder at its
address as shown by the records of the Corporation.

          (b) For the purposes of paragraph 2 and this paragraph 4, (i) the
voluntary sale, conveyance, exchange or transfer (for cash, shares of stock,
securities or other consideration) of all or substantially all or part of the
property or assets of the Corporation and (ii)(x) the merger or consolidation of
the Corporation into or with one or more other corporations or (y) the merger or
consolidation of one or more corporations into or with the Corporation, if, in
the case of (x) or (y), the stockholders of the Corporation prior to such merger
or consolidation do not retain at least a majority of the voting power of the
surviving corporation, shall be deemed to be a liquidation, dissolution or
winding up, voluntary or involuntary, of the affairs of the Corporation.

     5.   Redemption.  The shares of Series A Preferred Stock shall not be
          ----------                                                      
redeemed or subject to redemption, whether at the option of the Corporation or
any holder thereof, or otherwise.

     6.   Voting Rights.
          ------------- 

          (a) The holders of record of Series A Preferred Stock, except as
otherwise required under Delaware law or as set forth in paragraph (b) below,
shall not be entitled or permitted to vote on any matter required or permitted
to be voted upon by the stockholders of the Corporation.

          (b) So long as any shares of the Series A Preferred Stock are
outstanding, each share of Series A Preferred Stock shall entitle the holder
thereof to vote, in person or by proxy, at a special or annual meeting of
stockholders, on all matters entitled to be voted on by holders of Common Stock
voting together as a single class with other shares entitled to vote thereon.
With respect to any such vote, each share of Series A Preferred Stock shall
entitle the holder thereof to cast that number of votes per share as is equal to
the number of votes that such holder would be entitled to cast had such holder
converted its shares of Series A Preferred Stock into shares of Common Stock on
the record date for determining the stockholders of the Corporation eligible to
vote on any such matters.

                                     -11-
<PAGE>
 
     7.   Conversion.
          ---------- 

          (a) Any holder of Series A Preferred Stock shall have the right, at
its option, at any time and from time to time, to convert, subject to the terms
and provisions of this paragraph 7, any or all of such holder's shares of Series
A Preferred Stock into such number of fully paid and non-assessable shares of
Common Stock as is equal to the product of the number of shares of Series A
Preferred Stock being so converted multiplied by the quotient of (i) the
Liquidation Preference divided by (ii) the conversion price of $88.89 per share,
subject to adjustment as provided in paragraph 7(d) (the "Conversion Price"),
then in effect.  Such conversion right shall be exercised by the surrender of
the shares of Series A Preferred Stock to be converted to the Corporation at any
time during usual business hours at its principal place of business to be
maintained by it, accompanied by written notice that the holder elects to
convert such shares of Series A Preferred Stock and specifying the name or names
(with address) in which a certificate or certificates for shares of Common Stock
are to be issued and (if so required by the Corporation) shall be duly endorsed
to the Corporation or in blank, or accompanied by a written instrument or
instruments of transfer in form reasonably satisfactory to the Corporation duly
executed by the holder or its duly authorized legal representative and transfer
tax stamps or funds therefor, if required pursuant to paragraph 7(j).  All
shares of Series A Preferred Stock surrendered for conversion shall be delivered
to the Corporation for cancellation and canceled by it and no shares of Series A
Preferred Stock shall be issued in lieu thereof.

          (b) As promptly as practicable after the surrender, as herein
provided, of any shares of Series A Preferred Stock for conversion pursuant to
paragraph 7(a), the Corporation shall deliver to or upon the written order of
the holder of such shares of Series A Preferred Stock so surrendered a
certificate or certificates representing the number of duly authorized, fully
paid and non-assessable shares of Common Stock (including fractional shares
thereof) into which such shares of Series A Preferred Stock may be or have been
converted in accordance with the provisions of this paragraph 7.  Subject to the
following provisions of this paragraph and of paragraph 7(d), such conversion
shall be deemed to have been made immediately prior to the close of business on
the date that such shares of Series A Preferred Stock shall have been
surrendered in satisfactory form for conversion, and at such time the rights of
the holders of such shares of Series A Preferred Stock shall cease, and the
Person or Persons entitled to receive the shares of Common Stock deliverable
upon conversion of such shares of Series A Preferred Stock shall be treated for
all purposes as having become the record holder or holders of such shares of
Common Stock as and after such time, and such conversion shall be at the
Conversion Price in effect at such time; provided, however, that no surrender
                                         --------  -------                   
shall be effective to constitute the Person or Persons entitled to receive the
shares of Common Stock deliverable upon such conversion as the record holder or
holders of such shares of Common Stock while the share transfer books of the
Corporation shall be closed (but not for any period in excess of five days), but
such surrender shall be effective to constitute the Person or Persons entitled

                                     -12-
<PAGE>
 
to receive such shares of Common Stock as the record holder or holders thereof
for all purposes immediately prior to the close of business on the next
succeeding day on which such share transfer books are open, and such conversion
shall be deemed to have been made at, and shall be made at the Conversion Price
in effect at, such time on such next succeeding day.

          (c) To the extent permitted by law, when shares of Series A Preferred
Stock are converted, all dividends declared and unpaid on the shares of Series A
Preferred Stock so converted to the date of conversion shall be immediately due
and payable and must accompany the shares of Common Stock issued upon such
conversion.

          (d) The Conversion Price shall be subject to adjustment as follows:

              (i) In the event that the Corporation shall at any time or from
time to time (w) pay a dividend or make a distribution (other than a dividend or
distribution paid or made to holders of shares of Series A Preferred Stock in
the manner provided in paragraph 3) on its outstanding shares of Common Stock in
Capital Stock, (x) subdivide the outstanding shares of Common Stock into a
larger number of shares, (y) combine its outstanding shares of Common Stock into
a smaller number of shares or (z) issue any shares of its Capital Stock in a
reclassification of the Common Stock, then, and in each such case, the
Conversion Price in effect immediately prior to such event shall be
proportionately adjusted (and any other appropriate actions shall be taken by
the Corporation) so that the holder of any share of Series A Preferred Stock
thereafter surrendered for conversion shall be entitled to receive upon
conversion the number of shares of Common Stock or other securities of the
Corporation that such holder would have owned or would have been entitled to
receive upon or by reason of any of the events described above, had such share
of Series A Preferred Stock been converted immediately prior to the occurrence
of such event. An adjustment made pursuant to this paragraph 7(d)(i) shall
become effective retroactively (x) in the case of any such dividend or
distribution, to a date immediately following the close of business on the
record date for the determination of holders of Common Stock entitled to receive
such dividend or distribution or (y) in the case of any such subdivision,
combination or reclassification, to the close of business on the day upon which
such corporate action becomes effective. If after an adjustment pursuant to this
paragraph 7(d)(i), a holder may receive shares of two or more classes of
securities of the Corporation upon conversion, the Board of Directors shall
determine in good faith the allocation of the adjusted Conversion Price between
the classes of securities to the extent practicable and consistent with this
Certificate of Designations. After such allocation, the Conversion Price of each
class of securities shall thereafter be subject to adjustment on terms as nearly
equivalent as may be practicable to the adjustment provided for in this
paragraph 7. Such adjustment shall be made successively whenever any event
listed above shall occur.

                                     -13-
<PAGE>
 
              (ii)   In case the Corporation shall at any time or from time to
time distribute to all holders of shares of its Common Stock (including any such
distribution made in connection with a consolidation or merger in which the
Corporation is the resulting or surviving corporation and the Common Stock is
not changed or exchanged) cash, evidences of indebtedness of the Corporation or
another issuer, securities of the Corporation or another issuer or other assets
(excluding dividends or distributions paid or made to holders of shares of
Series A Preferred Stock in the manner provided in paragraph 3, and dividends
payable in shares of Common Stock for which adjustment is made under paragraph
7(d)(i) or rights or warrants to subscribe for or purchase securities of the
Corporation (excluding those distributions in respect of which an adjustment in
the Conversion Price is made pursuant to paragraph 7(d)(i)), then, and in each
such case, the Conversion Price then in effect shall be adjusted by dividing the
Conversion Price in effect immediately prior to the date of such distribution by
a fraction (x) the numerator of which shall be the Current Market Price of the
Common Stock on the record date referred to below and (y) the denominator of
which shall be such Current Market Price of the Common Stock less the then Fair
Market Value (as determined by the Board of Directors) of the portion of the
cash, evidences of indebtedness, securities or other assets so distributed or of
such subscription rights or warrants applicable to one share of Common Stock
(but such denominator not to be less than one); provided, however, that no
                                                --------  -------
adjustment shall be made with respect to any distribution of rights to purchase
securities of the Corporation if the holder of shares of Series A Preferred
Stock would otherwise be entitled to receive such rights upon conversion at any
time of shares of Series A Preferred Stock into Common Stock. Such adjustment
shall be made whenever any such distribution is made and shall become effective
retroactively to a date immediately following the close of business on the
record date for the determination of stockholders entitled to receive such
distribution.

              (iii)  In the case the Corporation, at any time or from time to
time, shall take any action affecting its Common Stock similar to or having an
effect similar to any of the actions described in any of paragraph 7(d)(i) or
paragraph 7(d)(ii), inclusive, or paragraph 7(h) (but not including any action
described in any such paragraph) and the Board of Directors in good faith
determines that it would be equitable in the circumstances to adjust the
Conversion Price as a result of such action, then, and in each such case, the
Conversion Price shall be adjusted in such manner and at such time as the Board
of Directors of the Corporation in good faith determines would be equitable in
the circumstances (such determination to be evidenced in a resolution, a
certified copy of which shall be mailed to the holders of the shares of Series A
Preferred Stock).

              (iv)   Notwithstanding anything herein to the contrary, no
adjustment under this paragraph 7(d) need be made to the Conversion Price unless
such adjustment would require an increase or decrease of at least 1% of the
Conversion Price then in effect. Any lesser adjustment shall be carried forward
and shall be made at the time of and together with the next subsequent
adjustment, which, together with any adjustment or adjustments so carried

                                     -14-
<PAGE>
 
forward, shall amount to an increase or decrease of at least 1% of such
Conversion Price. Any adjustment to the Conversion Price carried forward and not
theretofore made shall be made immediately prior to the conversion of any shares
of Series A Preferred Stock pursuant hereto.

          (v) Notwithstanding anything herein to the contrary, no adjustment
under this paragraph 7(d) shall be made upon the grant of options to employees
or directors of the Corporation pursuant to benefit plans approved by the Board
of Directors.

          (e) If the Corporation shall take a record of the holders of its
Common Stock for the purpose of entitling them to receive a dividend or other
distribution, and shall thereafter and before the distribution to stockholders
thereof legally abandon its plan to pay or deliver such dividend or
distribution, then thereafter no adjustment in the Conversion Price then in
effect shall be required by reason of the taking of such record.

          (f) Upon any increase or decrease in the Conversion Price, then, and
in each such case, the Corporation promptly shall deliver to each registered
holder of Series A Preferred Stock at least five (5) Business Days prior to
effecting any of the foregoing transactions a certificate, signed by the
President or a Vice President and by the Treasurer or an Assistant Treasurer or
the Secretary or an Assistant Secretary of the Corporation, setting forth in
reasonable detail the event requiring the adjustment and the method by which
such adjustment was calculated and specifying the increased or decreased
Conversion Price then in effect following such adjustment.

          (g) In case of any capital reorganization or reclassification or other
change of outstanding shares of Common Stock (other than a change in par value,
or from par value to no par value, or from no par value to par value or as a
result of a subdivision or combination), or in case of any consolidation or
merger of the Corporation with or into another Person (other than a
consolidation or merger in which the Corporation is the resulting or surviving
Person and which does not result in any reclassification or change of
outstanding Common Stock), or in case of any sale or other disposition to
another Person of all or substantially all of the assets of the Corporation
which is effected in such a way that holders of Common Stock are entitled to
receive stock or other securities or property (including, without limitation,
cash) (any of the foregoing, a "Transaction"), the Corporation, or such
successor or purchasing Person, as the case may be, shall execute and deliver to
each holder of Series A Preferred Stock at least ten (10) Business Days prior to
effecting any of the foregoing Transactions a certificate that the holder of
each share of Series A Preferred Stock then outstanding shall have the right
thereafter to convert such share of Series A Preferred Stock into the kind and
amount of shares of stock or other securities (of the Corporation or another
issuer) or property or cash receivable upon such Transaction by a holder of the

                                     -15-
<PAGE>
 
number of shares of Common Stock into which such share of Series A Preferred
Stock could have been converted immediately prior to such Transaction.

          (h) In case at any time or from time to time:

              (w) the Corporation shall declare a dividend (or any other
distribution) on its shares of Common Stock;

              (x) the Corporation shall authorize the granting to the holders of
its Common Stock or rights or warrants to subscribe for or purchase any shares
of Capital Stock of any class or of any other rights or warrants (excluding
shares of Capital Stock or rights for Capital Stock issued pursuant to an
employee benefit plan of the Corporation);

              (y) there shall be any reclassification of the Common Stock (other
than a subdivision or combination of the outstanding shares of Common Stock), or
any consolidation or merger to which the Corporation is a party and for which
approval of any stockholders of the Corporation is required, or any sale or
other disposition of all or substantially all of the assets of the Corporation;
or

              (z) of the voluntary or involuntary dissolution, liquidation or
winding up of the Corporation;

then the Corporation shall mail to each holder of shares of Series A Preferred
Stock at such holder's address as it appears on the transfer books of the
Corporation, as promptly as possible but in any event at least ten (10) days
prior to the applicable date hereinafter specified, a notice stating (A) the
date on which a record is to be taken for the purpose of such dividend,
distribution or grant of rights or warrants or, if a record is not to be taken,
the date as of which the holders of Common Stock of record to be entitled to
such dividend, distribution or grant of rights are to be determined, or (B) the
date on which such reclassification, consolidation, merger, sale, conveyance,
dissolution, liquidation or winding up is expected to become effective.  Such
notice also shall specify the date as of which it is expected that holders of
Common Stock of record shall be entitled to exchange their Common Stock for
shares of stock or other securities or property or cash deliverable upon such
reclassification, consolidation, merger, sale, conveyance, dissolution,
liquidation or winding up.

          (i) The Corporation shall at all times reserve and keep available for
issuance upon the conversion of the Series A Preferred Stock, such number of its
authorized but unissued shares of Common Stock as will from time to time be
sufficient to permit the conversion of all outstanding shares of Series A
Preferred Stock, and shall take all action required to increase the authorized
number of shares of Common Stock if at any time there shall be insufficient

                                     -16-
<PAGE>
 
authorized but unissued shares of Common Stock to permit such reservation or to
permit the conversation of all outstanding shares of Series A Preferred Stock.

          (j) The issuance or delivery of certificates for Common Stock upon the
conversion of shares of Series A Preferred Stock shall be made without charge to
the converting holder of shares of Series A Preferred Stock for such
certificates or for any tax in respect of the issuance or delivery of such
certificates or the securities represented thereby, and such certificates shall
be issued or delivered in the respective names of, or (subject to compliance
with the applicable provisions of federal and state securities laws) in such
names as may be directed by, the holders of the shares of Series A Preferred
Stock converted; provided, however, that the Corporation shall not be required
                 --------  -------                                            
to pay any tax which may be payable in respect of any transfer involved in the
issuance and delivery of any such certificate in a name other than that of the
holder of the shares of Series A Preferred Stock converted, and the Corporation
shall not be required to issue or deliver such certificate unless or until the
Person or Persons requesting the issuance or delivery thereof shall have paid to
the Corporation the amount of such tax or shall have established to the
reasonable satisfaction of the Corporation that such tax has been paid.

     8.   Automatic Conversion.  Each share of Series A Preferred Stock shall
          --------------------                                               
automatically be converted into shares of Common Stock at the then applicable
Conversion Price prior to the closing of a firm commitment underwritten initial
public offering pursuant to an effective registration statement under the
Securities Act covering at least the offer and sale of shares of Common Stock
for the account of the Corporation resulting in the aggregate net proceeds to
the Corporation in excess of $15,000,000.  In the event of such offering, the
Person(s) entitled to receive the shares of Common Stock issuable upon such
conversion of the Series A Preferred Stock shall not be deemed to have converted
the Series A Preferred Stock until immediately prior to the closing of such
offering, except that any such Person may convert its shares of Series A
Preferred Stock at an earlier time in accordance with paragraph 7(a).

     9.   Certain Remedies.  Any registered holder of Series A Preferred Stock
          ----------------                                                    
shall be entitled to an injunction or injunctions to prevent breaches of the
provisions of this Certificate of Designations and to enforce specifically the
terms and provisions of this Certificate of Designations, this being in addition
to any other remedy to which such holder may be entitled at law or in equity.

     10.  Reissuance of Series A Preferred Stock.  Shares of Series A Preferred
          --------------------------------------                               
Stock that have been issued and reacquired in any manner, including shares
purchased or converted, shall (upon compliance with any applicable provisions of
the laws of Delaware) have the status of authorized and unissued shares of
Preferred Stock undesignated as to series and may be redesignated and reissued
as part of any series of preferred stock (other than Series A Preferred Stock).

                                     -17-
<PAGE>
 
     11.  Business Day.  If any payment shall be required by the terms hereof to
          ------------                                                          
be made on a day that is not a Business Day, such payment shall be made on the
immediately succeeding Business Day.

     12.  Definitions.  As used in this Certificate of Designations, the
          -----------                                                   
following terms shall have the following meanings (with terms defined in the
singular having comparable meanings when used in the plural and vice versa),
                                                                ---- -----  
unless the context otherwise requires:

     "Board of Directors" means the Board of Directors of the Corporation.

     "Business Day" means any day except a Saturday, a Sunday, or other day on
which commercial banks in the State of New York are authorized or required by
law or executive order to close.

     "Capital Stock" means, with respect to any Person, any and all shares,
interests, participations, rights in, or other equivalents (however designated
and whether voting or non-voting) of, such Person's capital stock and any and
all rights, warrants or options exchangeable for or convertible into such
capital stock (but excluding any debt security that is exchangeable for or
convertible into such capital stock).

     "Common Stock" shall have the meaning ascribed to it in paragraph 2 hereof.

     "Corporation" shall have the meaning ascribed to it in the first paragraph
of this Resolution.

     "Current Market Price" per share shall mean, on any date specified herein
for the determination thereof, (a) the average of the daily Market Price of the
Common Stock for those days during the period of thirty (30) Trading Days
through and including the date ending one Business Day prior to such date, and
(b) if the Common Stock is not then listed or admitted to trading on any
national securities exchange or quoted in the over-the-counter market, the
Market Price on such date.

     "Fair Market Value" shall mean the amount which a willing buyer would pay a
willing seller in an arm's-length transaction.

     "Junior Securities" shall have the meaning ascribed to it in paragraph 2
hereof.

     "Liquidation Preference" shall have the meaning ascribed to it in paragraph
4 hereof.

     "Market Price" shall mean, per share of Common Stock on any date specified
herein:  (a) the closing price per share of the Common Stock on such date
published in the Wall Street Journal or, if no such closing price on such date
is published in the Wall Street 

                                     -18-
<PAGE>
 
Journal, the average of the closing bid and asked prices on such date, as
officially reported on the principal national securities exchange on which the
Common Stock is then listed or admitted to trading; or (b) if the Common Stock
is not then listed or admitted to trading on any national securities exchange
but is designated as a national market system security by the NASD, the last
trading price of the Common Stock on such date; or (c) if there shall have been
no trading on such date or if the Common Stock is not so designated, the average
of the reported closing bid and asked prices of the Common Stock on such date as
shown by NASDAQ and reported by any member firm of the New York Stock Exchange,
Inc. selected by the Corporation. If none of (a), (b) or (c) is applicable,
Market Price shall mean the Fair Value of the Common Stock determined by a panel
of three independent appraisers, which shall be nationally recognized investment
banking firms or nationally recognized experts experienced in the valuation of
corporations. Within five (5) Business Days after notice of the necessity of
such calculation shall have been delivered by the Corporation to the holders of
Series A Preferred Stock, the holders of a majority of the shares of Series A
Preferred Stock (the "Majority Stockholders") and the Board of Directors shall
each designate one such appraiser that is willing and able to conduct such
determination. If either the Majority Stockholders or the Board of Directors
fails to make such designation within such period, then the other party that has
made the designation shall have the right to make the designation on its behalf.
The two appraisers designated shall, within a period of five (5) Business Days
after the designation of the second appraiser, agree to designate a third
appraiser. The three appraisers shall conduct their determination as promptly as
practicable, and the Fair Value of the Common Stock shall be the average of the
determination of the two appraisers that are closer to each other than the
determination of the third appraiser, which third determination shall be
discarded; provided, however, that if the determination of two appraisers
           --------  -------
are equally close to the determination of the third appraiser, then the Fair
Value of the Common Stock shall be the average of the determination of all three
appraisers. Such determination shall be final and binding on the Majority
Stockholders and the Company. The Majority Stockholders shall be responsible for
the fees and expenses of the appraiser designated by or on behalf of such
Majority Stockholders, and the Company for the fees and expenses of the
appraiser designated by or on behalf of the Board of Directors. The Majority
Stockholders and the Company shall each share half the fees and expenses of the
appraiser designated by the appraisers. For the purposes of this definition, the
"Fair Value" of the Common Stock means the fair market value of the Common Stock
determined in accordance with this definition based upon all considerations that
the appraisers determine to be relevant.

     "NASD" shall mean the National Association of Securities Dealers, Inc.

     "NASDAQ" shall mean the National Market System of the National Association
of Securities Dealers, Inc. Automated Quotations System.

     "Parity Securities" shall have the meaning ascribed to such term in
paragraph 2 hereof.

                                     -19-
<PAGE>
 
     "Person" means any individual, firm, corporation, partnership, limited
liability company, trust, incorporated or unincorporated association, joint
venture, joint stock company, governmental body or other entity of any kind.

     "Securities Act" means the Securities Act of 1933, as amended, and the
rules and regulations of the Securities and Exchange Commission thereunder.

     "Senior Securities" shall have the meaning ascribed to such term in
paragraph 2 hereof.

     "Series A Preferred Stock" shall have the meaning ascribed to it in
paragraph 1 hereof.

     "Trading Day" shall mean a day on which the national securities exchanges
are open for trading.

     IN WITNESS WHEREOF, LHS GROUP HOLDING CORPORATION has caused this
certificate to be duly executed by its Chief Executive Officer and President
this 21st day of December, 1995.

                              LHS GROUP HOLDING CORPORATION


                              By: /s/ Hartmut Lademacher
                                  -------------------------------------
                                  Name:  Hartmut Lademacher
                                  Title: Chief Executive Officer and 
                                         President

                                     -20-
<PAGE>
 
                          CERTIFICATE OF AMENDMENT OF
                        CERTIFICATE OF INCORPORATION OF
                         LHS GROUP HOLDING CORPORATION


     LHS GROUP HOLDING CORPORATION, a corporation organized and existing under
the laws of the State of Delaware (the "Corporation") hereby certifies as
follows:

     1.   The name of the Corporation is LHS GROUP HOLDING CORPORATION.  The
date of filing of its Certificate of Incorporation with the Secretary of State
was December 19, 1995.

     2.   The first paragraph of Article 4 of the Certificate of Incorporation
of the Corporation is hereby amended to read in its entirety as follows:

          "4.  Authorized Capital.  The Corporation is authorized to issue two
               ------------------                                             
     classes of stock to be designated, respectively, "Common Stock" and
     "Preferred Stock." The total number of shares of stock that the corporation
     shall have authority to issue shall be 2,225,000, consisting of 2,000,000
     shares of Common Stock, having a par value of one cent ($.01) per share,
     and 225,000 shares of Preferred Stock, having a par value of one cent
     ($.01) per share.

     3.   This amendment of the Certificate of Incorporation of the Corporation
has been duly adopted in accordance with the provisions of Sections 228 and 242
of the General Corporation law of the State of Delaware.

     IN WITNESS WHEREOF, LHS GROUP HOLDING CORPORATION has caused this
Certificate of Amendment to be signed by Hartmut Lademacher, its Chief Executive
Officer, President and Chairman of the Board, this 15th day of July, 1996.


                                   LHS GROUP HOLDING CORPORATION


                                   By  /s/ Hartmut Lademacher
                                      ----------------------------------
                                       Hartmut Lademacher
                                       Chief Executive Officer,
                                       President and Chairman of the
                                       Board

ATTEST:

       /s/ Wolf Gaede
- --------------------------------
Name:  Dr. Wolf Gaede
<PAGE>
 
                        CERTIFICATE OF AMENDMENT OF THE
                          CERTIFICATE OF INCORPORATION
                                       OF
                         LHS GROUP HOLDING CORPORATION

                     ______________________________________

                     Pursuant to Section 242 of the General
                    Corporation Law of the State of Delaware

                    _______________________________________

     LHS Group Holding Corporation, a Delaware corporation (the "Corporation"),
does hereby certify as follows:

     FIRST:  Section 1 of the Corporation's Certificate of Incorporation is
hereby amended by deleting in its entirety the present Section 1 and
substituting in lieu thereof the following new Section 1:

          "1.  Name.  The name of the corporation is LHS Group Inc. (the
               ----                                                     
"Corporation")."

     SECOND:  The foregoing amendment was duly adopted in accordance with
Section 242 of the General Corporation Law of the State of Delaware.

     IN WITNESS WHEREOF, Wolf Gaede has caused this Certificate to be duly
executed in its corporate name this 30th day of July, 1996 and affirms that the
statements made herein are true under penalties of perjury.

                                       LHS GROUP HOLDING CORPORATION

                                       By:  /s/ Wolf Gaede
                                           -----------------------------
                                            Name:  Wolf Gaede
                                            Title:  Secretary

                                     -22-
<PAGE>
 
                          CERTIFICATE OF AMENDMENT OF
                        CERTIFICATE OF INCORPORATION OF
                                LHS GROUP, INC.

     LHS GROUP, INC., a corporation organized and existing under the laws of the
State of Delaware (the "Corporation") hereby certifies as follows:

     1.   The name of the Corporation is LHS Group, Inc. (formerly LHS Group
Holding Corporation).  The date of filing of its Certificate of Incorporation
with the Secretary of State was December 19, 1995.

     2.   The first paragraph of Article 4 of the Certificate of Incorporation
of the Corporation is hereby amended to read in its entirety as follows:

          "4.  Authorized Capital.  The Corporation is authorized to issue two
               ------------------                                             
     classes of stock to be designated, respectively, "Common Stock" and
     "Preferred Stock." The total number of shares of stock that the corporation
     shall have authority to issue shall be 40,225,000, consisting of 40,000,000
     shares of Common Stock, having a par value of one cent ($.01) per share,
     and 225,000 shares of Preferred Stock, having a par value of one cent
     ($.01) per share."

     3.   This Amendment of the Certificate of Incorporation of the Corporation
has been duly adopted in accordance with the provisions of Sections 228 and 242
of the General Corporation law of the State of Delaware.

     IN WITNESS WHEREOF, LHS Group, Inc. has caused this Certificate of
Amendment to be signed by Hartmut Lademacher, its Chief Executive Officer,
President and Chairman of the Board, this 14th day of October, 1996.


                                     LHS GROUP, INC.


                                     By   /s/ Hartmut Lademacher
                                        ---------------------------------
                                          Hartmut Lademacher
                                          Chief Executive Officer,
                                          President and Chairman of the Board

ATTEST:

       /s/ Jerry W. Braxton
- -----------------------------------
Name:  Jerry W. Braxton

                                     -23-


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