RARE MEDIUM GROUP INC
SC 13D, 1999-06-14
COMPUTER PROGRAMMING, DATA PROCESSING, ETC.
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<PAGE>

                                 UNITED STATES
                      SECURITIES AND EXCHANGE COMMISSION
                            WASHINGTON, D.C. 20549

                                 SCHEDULE 13D
                              (Amendment No. __)*

                   UNDER THE SECURITIES EXCHANGE ACT OF 1934

                            RARE MEDIUM GROUP, INC.
- --------------------------------------------------------------------------------
                               (Name of Issuer)

                    COMMON STOCK, PAR VALUE $0.01 PER SHARE
- --------------------------------------------------------------------------------
                        (Title of Class of Securities)

                                   449238203
- --------------------------------------------------------------------------------
                                 (CUSP Number)

                             DANIEL G. KELLY, JR.
                                SIDLEY & AUSTIN
                               875 THIRD AVENUE
                           NEW YORK, NEW YORK  10022
                                (212) 906-2000
- --------------------------------------------------------------------------------
                 (Name, Address and Telephone Number of Person
                                  Authorized
                    to Receive Notices and Communications)

                                 JUNE 4, 1999
- --------------------------------------------------------------------------------
                 (Date of Event which Requires Filing of this
                                  Statement)

If the filing person has previously filed a statement on Schedule 13G to report
the acquisition which is the subject of this Schedule 13D, and is filing this
schedule because of Rule 13-d-1(b)(3) or (4), check the following box: [    ]
NOTE:  Six copies of this statement, including all exhibits, should be filed
with the Commission.  See Rule 13-d-1(a) for other parties to whom copies are to
be sent.

*The remainder of this cover page shall be filled out for a reporting person's
initial filing on this form with respect to the subject class of securities, and
for any subsequent amendment containing information which would alter
disclosures provided in a prior cover page.

The information required on the remainder of this cover page shall not be deemed
to be "filed" for the purpose of Section 18 of the Securities Exchange Act of
1934 ("Act") or otherwise subject to the liabilities of that section of the Act,
but shall be subject to all other provisions of the Act (however, see the
Notes).

                                  SCHEDULE 13D
<PAGE>

- ----------------------                        ---------------------------------
 CUSP No. 449238203                           Page 2 of 17
- ---------                                              -----------------
- ---------------------------------------------------------------------
  1.  NAME OF REPORTING PERSON
      S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

      APOLLO INVESTMENT FUND IV, L.P.
- ---------------------------------------------------------------------
  2.  CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*         (a)/x/
                                                                (b)/ / --------
- ---------------------------------------------------------
  3.  SEC USE ONLY
- ---------------------------------------------------------------------
  4.  SOURCE OF FUNDS*

          00
- ---------------------------------------------------------------------
  5.  CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
      PURSUANT TO ITEMS 2(d) OR 2 (e)                              / /--------
- ---------------------------------------------------------
  6.  CITIZENSHIP OR PLACE ORGANIZATION

      DELAWARE
- ---------------------------------------------------------------------
      7.  SOLE VOTING POWER
          4,193,657 SHARES OF COMMON STOCK
NUMBER OF -----------------------------------------------------------
 SHARES   8.         SHARED VOTING POWER
BENEFICIALLY         5,417,994 SHARES OF COMMON STOCK
        -------------------------------------------------------------
OWNED BY  9.         SOLE DISPOSITIVE POWER
 EACH                4,193,657 SHARES OF COMMON STOCK
      ---------------------------------------------------------------
REPORTING 10.        SHARED DISPOSITIVE POWER
 PERSON
  WITH               5,417,994 SHARES OF COMMON STOCK
- ---------------------------------------------------------------------
  11. AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING
      PERSON
      5,417,994 SHARES OF COMMON STOCK
- ---------------------------------------------------------------------
  12. CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
      CERTAIN SHARES*                                  / / --------------
- ---------------------------------------------------------------------
  13. PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

      12.5%
- ---------------------------------------------------------------------
  14. TYPE OF REPORTING PERSON*

      PN
- ---------------------------------------------------------------------
                     *SEE INSTRUCTIONS BEFORE FILLING OUT!
         INCLUDE BOTH SIDES OF THE COVER PAGE, RESPONSES TO ITEMS 1-7
     (INCLUDING EXHIBITS) OF THE SCHEDULE, AND THE SIGNATURE ATTESTATION.
<PAGE>

- ---------------                               -------------------------------
 CUSP No. 449239203                           Page 3 of 17
- ----------                                             -------------
- ---------------------------------------------------------------------
  1.  NAME OF REPORTING PERSON
      S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

      APOLLO OVERSEAS PARTNERS IV, L.P.
- ---------------------------------------------------------------------
  2.  CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*       (a)/x/
                                                              (b)/ / --------
- ---------------------------------------------------------
  3.  SEC USE ONLY
- ---------------------------------------------------------------------
  4.  SOURCE OF FUNDS*
          00
- ---------------------------------------------------------------------
  5.  CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
      PURSUANT TO ITEMS 2(d) OR 2 (e)                            / / --------
- ---------------------------------------------------------
  6.  CITIZENSHIP OR PLACE ORGANIZATION

      CAYMAN ISLANDS
- ---------------------------------------------------------------------
      7.  SOLE VOTING POWER
          224,889 SHARES OF COMMON STOCK
NUMBER OF -----------------------------------------------------------
 SHARES   8.   SHARED VOTING POWER
BENEFICIALLY   5,417,994 SHARES OF COMMON STOCK
        -------------------------------------------------------------
OWNED BY  9.   SOLE DISPOSITIVE POWER
 EACH          224,889 SHARES OF COMMON STOCK
       --------------------------------------------------------------
REPORTING 10.  SHARED DISPOSITIVE POWER
 PERSON WITH   5,417,994 SHARES OF COMMON STOCK

- ---------------------------------------------------------------------
  11. AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING
      PERSON

      5,417,994 SHARES OF COMMON STOCK
- ---------------------------------------------------------------------
  12. CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
      CERTAIN SHARES*                                  / / -----------------
- ---------------------------------------------------------------------
  13. PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

      12.5%
- ---------------------------------------------------------------------
  14. TYPE OF REPORTING PERSON*

      PN
- ---------------------------------------------------------------------
                     *SEE INSTRUCTIONS BEFORE FILLING OUT!
          INCLUDE BOTH SIDES OF THE COVER PAGE, RESPONSES TO ITEMS 1-7
      (INCLUDING EXHIBITS) OF THE SCHEDULE, AND THE SIGNATURE ATTESTATION.

                                      -3-
<PAGE>

- ----------------------                        ----------------------------------
 CUSP No. 449238203                           Page 4 of 17
- ---------                                              -------------
- ---------------------------------------------------------------------
  1.  NAME OF REPORTING PERSON
      S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

      AIF IV/RRRR LLC
- ---------------------------------------------------------------------
  2.  CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*       (a)/x/
                                                              (b)/ / -----------
- ---------------------------------------------------------
  3.  SEC USE ONLY
- ---------------------------------------------------------------------
  4.  SOURCE OF FUNDS*

          00
- ---------------------------------------------------------------------
  5.  CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
      PURSUANT TO ITEMS 2(d) OR 2 (e)                           / / ------------
- ---------------------------------------------------------
  6.  CITIZENSHIP OR PLACE ORGANIZATION

      DELAWARE
- ---------------------------------------------------------------------
      7.  SOLE VOTING POWER
          999,448 SHARES OF COMMON STOCK
NUMBER OF -----------------------------------------------------------
 SHARES   8.         SHARED VOTING POWER
BENEFICIALLY         5,417,994 SHARES OF COMMON STOCK
- ---------------------------------------------------------------------
OWNED BY  9.         SOLE DISPOSITIVE POWER
EACH                 999,448 SHARES OF COMMON STOCK
- ---------------------------------------------------------------------
REPORTING 10.        SHARED DISPOSITIVE POWER
  PERSON WITH        5,417,994 SHARES OF COMMON STOCK
- ---------------------------------------------------------------------
  11. AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING
      PERSON
      5,417,994 SHARES OF COMMON STOCK
- ---------------------------------------------------------------------
  12. CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
      CERTAIN SHARES*                                  / / ---------------
- ---------------------------------------------------------------------
  13. PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

      12.5%
- ---------------------------------------------------------------------
  14. TYPE OF REPORTING PERSON*

      00
- ---------------------------------------------------------------------
                     *SEE INSTRUCTIONS BEFORE FILLING OUT!
         INCLUDE BOTH SIDES OF THE COVER PAGE, RESPONSES TO ITEMS 1-7
     (INCLUDING EXHIBITS) OF THE SCHEDULE, AND THE SIGNATURE ATTESTATION.

                                      -4-
<PAGE>

- -----------------------                       ------------------------------
 CUSP No. 449238203                           Page 5 of 17
- ---------                                              -----------
- ---------------------------------------------------------------------
  1.  NAME OF REPORTING PERSON
      S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

      APOLLO ADVISORS IV, L.P.
- ---------------------------------------------------------------------
  2.  CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*     (a)/x/
                                                            (b)/ / ---------
- ---------------------------------------------------------
  3.  SEC USE ONLY
- ---------------------------------------------------------------------
  4.  SOURCE OF FUNDS*

          00
- ---------------------------------------------------------------------
  5.  CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
      PURSUANT TO ITEMS 2(d) OR 2 (e)                          / / ----------
- ----------------------------------------------------------
  6.  CITIZENSHIP OR PLACE ORGANIZATION

      DELAWARE
- ---------------------------------------------------------------------
      7.  SOLE VOTING POWER

          0 SHARES OF COMMON STOCK
NUMBER OF -----------------------------------------------------------
 SHARES   8.         SHARED VOTING POWER
BENEFICIALLY         5,417,994 SHARES OF COMMON STOCK
        -------------------------------------------------------------
OWNED BY  9.         SOLE DISPOSITIVE POWER
EACH                 0 SHARES OF COMMON STOCK
       --------------------------------------------------------------
REPORTING 10.        SHARED DISPOSITIVE POWER
 PERSON WITH         5,417,994 SHARES OF COMMON STOCK
- ---------------------------------------------------------------------
  11. AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING
      PERSON

      5,417,994 SHARES OF COMMON STOCK
- ---------------------------------------------------------------------
  12. CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
      CERTAIN SHARES*                                  / / ----------------
- ---------------------------------------------------------------------
  13. PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

      12.5%
- ---------------------------------------------------------------------
  14. TYPE OF REPORTING PERSON*

      PN
- ---------------------------------------------------------------------
                     *SEE INSTRUCTIONS BEFORE FILLING OUT!
         INCLUDE BOTH SIDES OF THE COVER PAGE, RESPONSES TO ITEMS 1-7
     (INCLUDING EXHIBITS) OF THE SCHEDULE, AND THE SIGNATURE ATTESTATION.

                                      -5-
<PAGE>

- ----------------------                        --------------------------------
 CUSP No. 449238203                           Page 6 of 17
- ---------                                              ----------------
- ---------------------------------------------------------------------
  1.  NAME OF REPORTING PERSON
      S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

      APOLLO MANAGEMENT IV, L.P.
- ---------------------------------------------------------------------
  2.  CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*       (a)/x/
                                                              (b)/ / ----------
- ---------------------------------------------------------
  3.  SEC USE ONLY
- ---------------------------------------------------------------------
  4.  SOURCE OF FUNDS*

          00
- ---------------------------------------------------------------------
  5.  CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
      PURSUANT TO ITEMS 2(d) OR 2 (e)                            / /-----------
- ---------------------------------------------------------
  6.  CITIZENSHIP OR PLACE ORGANIZATION

      DELAWARE
- ---------------------------------------------------------------------
      7.  SOLE VOTING POWER

                     0 SHARES OF COMMON STOCK
NUMBER OF -----------------------------------------------------------
 SHARES   8.         SHARED VOTING POWER
BENEFICIALLY         5,417,994 SHARES OF COMMON STOCK
        -------------------------------------------------------------
OWNED BY  9.         SOLE DISPOSITIVE POWER
EACH                 0 SHARES OF COMMON STOCK
       --------------------------------------------------------------
REPORTING 10.        SHARED DISPOSITIVE POWER
 PERSON WITH         5,417,994 SHARES OF COMMON STOCK
- ---------------------------------------------------------------------
  11. AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING
      PERSON

      5,417,994 SHARES OF COMMON STOCK
- ---------------------------------------------------------------------
  12. CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
      CERTAIN SHARES*                                  / / ---------------
- ---------------------------------------------------------------------
  13. PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

      12.5%
- ---------------------------------------------------------------------
  14. TYPE OF REPORTING PERSON*

      PN
- ---------------------------------------------------------------------
                     *SEE INSTRUCTIONS BEFORE FILLING OUT!
         INCLUDE BOTH SIDES OF THE COVER PAGE, RESPONSES TO ITEMS 1-7
     (INCLUDING EXHIBITS) OF THE SCHEDULE, AND THE SIGNATURE ATTESTATION.

                                      -6-
<PAGE>

ITEM 1.   SECURITY AND ISSUER.

  This Statement on Schedule 13D relates to the Common Stock, par value $.01 per
share ("Common Stock") of Rare Medium Group, Inc., a Delaware corporation (the
"Issuer"), which has its principal executive office at 44 West 18th Street, New
York, New York 10011.

ITEM 2.   IDENTITY AND BACKGROUND.

  This Schedule 13D is being filed jointly on behalf of Apollo Investment Fund
IV, L.P., a Delaware limited partnership ("AIF IV"), Apollo Overseas Partners
IV, L.P. an exempted limited partnership registered in the Cayman Islands
("Overseas IV"), AIF IV/RRRR LLC, a Delaware limited liability corporation ("AIF
LLC"), Apollo Advisors IV, L.P., a Delaware limited partnership ("Advisors IV")
and Apollo Management IV, L.P., a Delaware limited partnership ("Apollo
Management IV").   AIF IV, Overseas IV, AIF LLC, Advisors IV and Apollo
Management IV are referred to collectively as the "Reporting Persons."

  The principal office of each of the Reporting Persons is c/o Apollo Advisors
IV, L.P., Two Manhattanville Road, Purchase, New York 10577.

  AIF IV and Overseas IV are principally engaged in the business of investment
in securities. AIF LLC was formed for the principal purpose of co-investing with
each of AIF IV and Overseas IV in their investments in securities of the Issuer.
Advisors IV is principally engaged in the business of serving as general partner
of AIF IV and Overseas IV. Apollo Management IV serves as the manager of AIF
LLC, as to whose ownership in the Issuer, Apollo Management IV has exclusive
investment, voting and dispositive power, and, in addition, serves as the
manager of each of AIF IV and Overseas IV and manages their day-to-day
operations.

  Apollo Capital Management IV, Inc., a Delaware corporation ("Capital
Management IV"), is the general partner of Advisors IV.  Capital Management IV
is principally engaged in the business of serving as general partner to Advisors
IV.

  AIF IV Management, Inc., a Delaware corporation ("AIMIV"), is the general
partner of Apollo Management IV.  AIMIV is principally engaged in the business
of serving as general partner to Apollo Management IV.

  The respective addresses of the principal office of Capital Management IV and
AIMIV are c/o Apollo Management IV, L.P., Two Manhattanville Road, Purchase, New
York 10577.

  Apollo Fund Administration IV LLC, a Delaware limited liability company
("Administration"), is the administrative general partner of Overseas IV.
Administration is principally engaged in the business of serving as
administrative general partner of Overseas IV.  The principal place of business
of Administration is c/o Apollo Advisors IV, L.P., Two Manhattanville Road,
Purchase, New York 10577.

  Attached as Appendix A to Item 2 is information concerning certain principals,
executive officers, directors and principal shareholders of the Reporting
Persons and other entities as to which such information is required to be
disclosed in response to Item 2 and General Instruction C to Schedule 13D.

  Neither the Reporting Persons nor any of the persons or entities referred to
in Appendix A to Item 2 during the last five years has been convicted in a
criminal proceeding (excluding traffic violations and similar misdemeanors) or
been a party to a civil proceeding of a judicial or administrative body of
competent jurisdiction and as a result of such proceeding was or is subject to a
judgment, decree, or final

                                      -7-
<PAGE>

order enjoining future violations of, or prohibiting or mandating activities
subject to, federal or state securities laws or finding any violation with
respect to such laws.

ITEM 3.   SOURCE AND AMOUNT OF FUNDS OR OTHER CONSIDERATION.

  The Reporting Persons have purchased an aggregate of 126,000 shares of the
Issuer's Series A Convertible Preferred Stock (the "Series A Preferred Stock"),
126,000 Series 1-A Warrants (the "Series 1-A Warrants"), 744,000 shares of
Series B Preferred Stock (the "Series B Preferred Stock"), 744,000 Series 1-B
Warrants (the "Series 1-B Warrants"), 1,916,994 Series 2-A Warrants (the "Series
2-A Warrants") and 10,345,548 Series 2-B Warrants (the "Series 2-B Warrants")
for an aggregate purchase price of $87,000,000 (the "Purchase Price"). The
purchases were financed with cash on hand from contributions of partners of each
of AIF IV and Overseas IV or members of AIF LLC, respectively, as the case may
be. All such contributions are in the ordinary course and pursuant to (equity)
investor commitments to the respective entities. The Series A Preferred Stock,
Series B Preferred Stock, Series 1-A Warrants, Series 1-B Warrants, Series 2-A
Warrants and Series 2-B Warrants are referred to herein collectively as the
"Securities."

ITEM 4.   PURPOSE OF THE TRANSACTION.

  On June 4, 1999, AIF IV, Overseas IV and AIF LLC (collectively, the
"Purchasers") acquired the Securities pursuant to the Amended and Restated
Securities Purchase Agreement with the Issuer (the "Agreement").  The Series A
Preferred Stock and the Series 1-A and 2-A Warrants (collectively, the "Series A
Securities") are presently convertible into, or exercisable for, an aggregate of
5,417,994 shares of Common Stock, representing approximately 12.5% of the
outstanding Common Stock on a fully diluted basis.  The Series B Preferred Stock
and the Series 1-B and 2-B Warrants (collectively the "Series B Securities") are
convertible into, or exercisable for, 31,018,119 shares of the Issuer's non-
voting common stock (the "Non-Voting Stock").  The Issuer's certificate of
incorporation does not currently authorize the issuance of Non-Voting Stock, and
the Issuer intends to seek such authorization at the special meeting of
stockholders referred to below.

  Under the Agreement, the Issuer is required to seek shareholder approval for
the conversion (the "Series B-to-A Conversion") of the Series B Securities into
an equal amount of Series A Securities, as well as the creation of Non-Voting
Stock, on or prior to October 4, 1999 (the "Outside Date").  The Issuer intends
to notice and call a special meeting of stockholders in the near future to seek
such approval.

  If the Issuer's stockholders approve the Series B-to-A Conversion, then the
Series B Preferred Stock, the Series 1-B Warrants and the Series 2-B Warrants
will automatically be converted into 744,000 shares of Series A Preferred Stock,
744,000 Series 1-A Warrants and 10,345,548 Series 2-A Warrants, respectively.
Upon such conversion, the holders of such securities would have the right to
convert them into, or exercise them for, an aggregate of 31,018,119 shares of
Common Stock.

  If the Issuer's stockholders fail to approve the Series B-to-A Conversion on
or prior to the Outside Date, then the Reporting Persons will have a right to
require the Issuer to redeem the Series B Preferred Stock for its liquidation
preference plus a 10% premium. The Issuer has deposited $74,400,000 of the
Purchase Price into an escrow account in order to secure its repurchase
obligation.  In addition, if the stockholders fail to approve the Series B-to-A
Conversion on or prior to the Outside Date, the dividend rate of the Series B
Preferred Stock will be increased and the strike price of the Warrants will be
reduced.

  The Series A Preferred Stock is entitled to vote with the holders of Common
Stock on all matters (except the Series B-to-A Conversion and related matters
under the Agreement).  The number of votes to which the Series A Preferred Stock
is entitled is .875 per underlying share of Common Stock (a total of

                                      -8-
<PAGE>

1,575,000 votes, which represents approximately 4.0% of the total voting power).
In addition, the holders of the Series A Preferred Stock initially will have the
right to elect one member of the Issuer's Board of Directors, and will be able
to elect a second Director following stockholder approval of the Series B-to-A
Conversion. At that time, pursuant to the Agreement, the Purchasers will also
have certain approval rights with respect to a third member of the Board of
Directors.

  In addition to the foregoing, the Purchasers (so long as they own at least
100,000 shares of Series A Preferred Stock) will have approval rights over
certain matters, including matters described in Items 4 (a) through (f) of
Schedule 13D.

  The following is a description of certain additional terms of the Series A
Securities:

  Series A Preferred Stock.
  ------------------------

  Liquidation Preference.  The Series A Preferred Stock has a liquidation
preference of $100 per share (the "Liquidation Preference") plus all accrued and
unpaid dividends.  No distributions may be made to holders of the Common Stock
until the holders of the Series A Preferred Stock have received the Liquidation
Preference.

  Dividends.  Holders of Series A Preferred Stock are initially entitled to
receive quarterly dividends at the rate of 7.50% of the Liquidation Preference
per share from the original issuance date of such shares to June 30, 2002 and
thereafter at the rate of 4.65%.  From the date of the original issuance of the
Series A Preferred Stock until June 30, 2002, the Issuer shall pay dividends
through the issuance of additional shares of Series A Preferred Stock
("Additional Securities").  From June 30, 2002 until June 30, 2004, the Issuer
shall pay dividends through the issuance of Additional Securities, provided that
at the option of either the holders of a majority of the then outstanding shares
of Series A Preferred Stock or the Issuer, the Issuer shall pay the dividends in
whole in cash.  After June 30, 2004, all dividends on the Series A Preferred
Stock shall be paid in cash.

  Conversion Price.  Holders of Series A Preferred Stock may convert their
shares at any time into a number of shares of Common Stock determined by
dividing (x) $100 plus accrued and unpaid dividends, by (y) $7.00 per share,
subject to adjustment in accordance with certain anti-dilution provisions (the
"Conversion Price").

  Optional Redemption.  The Series A Preferred Stock is not redeemable for five
years; thereafter, the Issuer may redeem all of the Series A Preferred Stock at
any time at 103% of the Liquidation Preference plus accrued and unpaid
dividends.

  Mandatory Redemption.  Holders of Series A Preferred Stock have the right to
require the Issuer to redeem the Preferred Stock on the earliest of a change of
control, the date upon which the Common Stock is not listed for trading on a
United States national securities exchange or the Nasdaq National Market System
or June 30, 2012 at a price equal to the Liquidation Preference plus all accrued
and unpaid dividends thereon.

  Series 1-A Warrants.
  -------------------

  Each share of Series A Preferred Stock (including Additional Shares) will be
issued with a Series 1-A Warrant entitling the holder to acquire 13.5 shares of
Common Stock at a variable exercise price between $4.20 and $0.01 per share,
subject to adjustment. The Series 1-A Warrants have no voting rights.

                                      -9-
<PAGE>

  Series 2-A Warrants.
  -------------------

  Each Series 2-A Warrant entitled the holder to acquire one share of Common
Stock initially for $7.00, subject to adjustment.  The strike price will be
reduced to $0.01 if the Issuer's stockholders do not approve the Series B-to-A
Conversion on or prior to the Outside Date.  The Series 2-A Warrants have no
voting rights.

  The foregoing descriptions do not purport to be complete and are qualified in
their entirety by reference to the Agreement, the Certificates of Designation of
the Series A and Series B Preferred Stock, and the terms of the Series 1-A, 1-B,
2-A and 2-B Warrants, a copy of each of which has been filed as an Exhibit to
this Schedule 13D and is incorporated herein by reference.

  The Reporting Persons retain the right to change their investment intent, to
propose one or more possible transactions to the Issuer's Board of Directors, to
acquire additional shares of Series A Preferred Stock or Common Stock or other
securities of the Issuer from time to time, or to sell or otherwise dispose of
all or part of the Series A Securities, Series B Securities or Common Stock
beneficially owned by them (or any shares of Common Stock into which such
securities are converted) in any manner permitted by law.  The Reporting Persons
may engage from time to time in ordinary course transactions with financial
institutions with respect to the securities described herein.  To the extent
such transactions materially affect the Reporting Persons' ownership of such
securities, or in the event of a material change in the present plans or
intentions of the Reporting Persons, the Reporting Persons will amend this
Schedule 13D to reflect such change.


ITEM 5.   INTEREST IN SECURITIES OF THE ISSUER.

  (a) and (b) The Reporting Persons beneficially own 126,000 shares of Series A
              Preferred Stock, 126,000 Series 1-A Warrants, 1,916,994 Series 2-A
              Warrants, 744,000 shares of Series B Preferred Stock, 744,000
              Series 1-B Warrants and 10,345,548 Series 2-B Warrants. Each share
              of Series A Preferred Stock is currently convertible into
              approximately 14.3 shares of Common Stock as described in Item 4,
              or an aggregate of 1,800,000 shares of the Common Stock, which
              represents approximately 4.5% of the class. Assuming approval of
              the Series B-to-A Conversion on or prior to the Outside Date, each
              share of Series B Preferred Stock would be automatically converted
              into one share of Series A Preferred Stock, which would be
              convertible into an aggregate of 10,628,571 shares of Common
              Stock. The Series 1-A and Series 2-A Warrants are currently
              exercisable for 1,701,000 and 1,916,994 shares of Common Stock,
              representing approximately 4.3% and 4.8% of the class,
              respectively. Assuming approval of the Series B-to-A Conversion on
              or prior to the Outside Date, the Series 1-B and Series 2-B
              Warrants would be automatically converted into 744,000 Series 1-A
              Warrants and 10,345,548 Series 2-A Warrants, which would be
              convertible into an aggregate of 20,389,548 shares of Common
              Stock. Beneficial ownership of all such securities was acquired as
              described in Item 3 and Item 4.

  (c),(d) and (e)        None or not applicable.

ITEM 6.   CONTRACTS, ARRANGEMENTS, UNDERSTANDINGS OR RELATIONSHIPS WITH RESPECT
          TO SECURITIES OF THE ISSUER.

                                      -10-
<PAGE>

  The responses to Item 2, Item 3 and Item 4 are incorporated herein by
reference.

  Rare Medium Acquisition, LLC, which is an affiliate of Bear Stearns & Co.
Inc., is the principal equity holder of a membership interest in AIF LLC.

  Pursuant to the Agreement, the Issuer has agreed, through its Board of
Directors, to recommend that its stockholders approve the Series B-to-A
Conversion, and to use its best efforts to have each Director vote his shares of
Common Stock for such approval.

  The foregoing response to this Item 6 is qualified in its entirety by
reference to the Agreement, the full text of which is filed as Exhibit 1 hereto
and incorporated hereby by this reference.

ITEM 7.   MATERIAL TO BE FILED AS EXHIBITS.

  Exhibit 1    Amended and Restated Securities Purchase Agreement dated as of
               June 4, 1999 among Rare Medium Group, Inc., Apollo Investment
               Fund IV, L.P., Apollo Overseas Partners IV, L.P. and AIF IV/RRRR
               LLC.

  Exhibit 2    Forms of Series 1-A, 1-B, 2-A and 2-B Warrant of the Issuer.

  Exhibit 3    Certificate of Designation of Series A Convertible Preferred
               Stock of Rare Medium Group, Inc.

  Exhibit 4    Certificate of Designation of Series B Preferred Stock of Rare
               Medium Group, Inc.

  Exhibit 5    Form of Limited Liability Company Agreement of AIF IV/RRRR LLC
               among the members and manager thereto.


                                      -11-
<PAGE>

                                   SIGNATURE

  After reasonable inquiry and to the best of my knowledge and belief, I certify
that the information set forth in this statement is true, complete and correct.

June 14, 1999
                              APOLLO INVESTMENT FUND IV, L.P.

                              By:  Apollo Advisors IV, L.P., its General Partner

                                   By:  Apollo Capital Management IV, Inc., its
                                        General Partner


                                   By:  /s/ Michael D. Weiner
                                      -----------------------------------------
                                      Name:  Michael D. Weiner
                                      Title: Vice President

                                      -12-
<PAGE>

                                   SIGNATURE

  After reasonable inquiry and to the best of my knowledge and belief, I certify
that the information set forth in this statement is true, complete and correct.

June 14, 1999
                              APOLLO OVERSEAS PARTNERS IV, L.P.

                              By:  Apollo Advisors IV, L.P., its General Partner

                              By:  Apollo Capital Management IV, Inc., its
                                   General Partner

                              By: /s/ Michael D. Weiner
                                 ---------------------------------------------
                                 Name:  Michael D. Weiner
                                 Title: Vice President

                                      -13-
<PAGE>

                                   SIGNATURE

  After reasonable inquiry and to the best of my knowledge and belief, I certify
that the information set forth in this statement is true, complete and correct.

June 14, 1999
                              AIF IV/RRRR LLC

                              By:  APOLLO MANAGEMENT IV, L.P.,
                                   its Manager

                              By:  AIF IV MANAGEMENT, INC.,
                                   its General Partner


                              By:  /s/ Michael D. Weiner
                                 ---------------------------------------------
                                 Name:  Michael D. Weiner
                                 Title: Vice President

                                      -14-
<PAGE>

                                   SIGNATURE

  After reasonable inquiry and to the best of my knowledge and belief, I certify
that the information set forth in this statement is true, complete and correct.

June 14, 1999
                              APOLLO ADVISORS IV, L.P.


                              By:       Apollo Capital Management IV, Inc., its
                                        General Partner


                              By: /s/ Michael D. Weiner
                                  ---------------------------------------------
                                  Name:      Michael D. Weiner
                                  Title:     Vice President

                                      -15-
<PAGE>

                                   SIGNATURE

  After reasonable inquiry and to the best of my knowledge and belief, I certify
that the information set forth in this statement is true, complete and correct.

June 14, 1999
                              APOLLO MANAGEMENT IV, L.P.


                              By:  AIF IV Management, Inc., its
                                   General Partner


                              By: /s/ Michael D. Weiner
                                  --------------------------------------------
                                  Name:      Michael D. Weiner
                                  Title:     Vice President

                                      -16-
<PAGE>

                             APPENDIX A TO ITEM 2

     The following sets forth information with respect to certain of the general
partners, executive officers, directors and principal shareholders of Advisors
IV, Capital Management IV, AIMIV and Administration. Capitalized terms used
herein without definition have the meanings assigned thereto in the Schedule 13D
to which this Appendix A relates. Except as otherwise indicated in this Appendix
A or in the Schedule 13D to which this Appendix A relates, the principal
business address of each person or entity set forth below is c/o Apollo Advisors
IV, L.P., Two Manhattanville Road, Purchase, New York 10577, and each such
person or entity is a citizen of the United States of America.

     The principal business of Advisors IV is to provide advice regarding
investments by, and serving as general partner to, the Reporting Persons (other
than AIF LLC, for which Apollo Management IV serves as manager), and the
principal business of Capital Management IV is that of serving as general
partner of Advisors IV. The principal business of Apollo Management IV is to
serve as manager of the Reporting Persons and to manage their day-to-day
operations.


     The directors and principal executive officers of Capital Management IV and
AIMIV are Messrs. Leon D. Black and John J. Hannan. The principal occupation of
each of Messrs. Black and Hannan is to act as an executive officer and director
of Capital Management IV and AIMIV. Messrs. Black and Hannan are also founding
principals of Advisors IV. Mr. Black is the President and director of AIMIV,
which is the general partner of Apollo Management IV. Mr. Hannan is a Vice
President and director of AIMIV. AIMIV is principally engaged in the business of
serving as general partner of Apollo Management IV.

     Messrs. Black and Hannan are also founding principals of Apollo Advisors,
L.P. and its successive managers (collectively, "Advisors"), Lion Advisors, L.P.
("Lion"), Apollo Real Estate Advisors, L.P. and its successive managers
(collectively, "AREA"). The principal business of Advisors, (on behalf of the
Apollo Investment Funds) and Lion is to provide advice regarding investments in
securities and the principal business of AREA is to provide advice regarding
investments in real estate and real estate-related investments on behalf of the
Apollo Real Estate Investment Funds. The business address of each of Messrs.
Black and Hannan is c/o Apollo Management, L.P., 1301 Avenue of the Americas,
New York, New York 10019.

     Peter Henry Larder, Michael Francis Benedict Gillooly, Ian Thomas Patrick
and Martin William Laidlaw, each of whom is a British citizen, each serves as a
director of Administration. Each of the above individuals is principally
employed by CIBC Bank and Trust Company (Cayman) Limited ("CIBC") in the
following positions: Mr. Larder, Managing Director; Mr. Gillooly, Deputy
Managing Director; Mr. Patrick, Manager-Accounting Services; and Mr. Laidlaw,
Senior Fund Accountant. CIBC is a Cayman Islands corporation which is
principally engaged in the provision of trust, banking and corporate
administration services, the principal address of which is Edward Street, Grand
Cayman, Cayman Islands, British West Indies. It provides accounting,
administrative and other services to Administration pursuant to a contract. Mr.
Black is the principal beneficial owner of the stock of each of Apollo Capital
and Administration.

                                      -17-

<PAGE>

                                                                       Exhibit 1

================================================================================


                             AMENDED AND RESTATED

                         SECURITIES PURCHASE AGREEMENT

                                     AMONG

                            RARE MEDIUM GROUP, INC.

                                      AND

                        APOLLO INVESTMENT FUND IV, L.P.

                                      AND

                       APOLLO OVERSEAS PARTNERS IV, L.P.

                                      AND

                                AIF IV/RRRR LLC







                           Dated as of June 4, 1999


================================================================================
<PAGE>

                               TABLE OF CONTENTS

<TABLE>
<CAPTION>
                                                                            Page
                                                                            ----
<S>                                                                         <C>
1. Authorization of Securities .............................................   1
2. Sale and Purchase of the Securities; Escrow .............................   2
3. Closing .................................................................   2
4. Representations and Warranties of the Purchaser; Register of Securities;
   Restrictions on Transfer ................................................   3
   4.1   Organization ......................................................   3
   4.2   Authority .........................................................   3
   4.3   Consents and Approvals; No Violations .............................   3
   4.4   Information Supplied ..............................................   4
   4.5   Ownership of Company Common Stock .................................   4
   4.6   Financing .........................................................   4
   4.7   Brokers ...........................................................   4
   4.8   Investment Representations and Warranties .........................   5
5. Representations and Warranties by the Company ...........................   5
   5.1   Capitalization ....................................................   6
   5.2   Due Issuance and Authorization of Capital Stock ...................   6
   5.3   Organization ......................................................   7
   5.4   Subsidiaries ......................................................   7
   5.5   Financial Statements ..............................................   8
   5.6   Absence of Certain Developments ...................................   8
   5.7   Title to Property and Assets ......................................   9
   5.8   SEC Documents .....................................................   9
   5.9   Undisclosed Liabilities ...........................................  10
   5.10  Litigation ........................................................  10
   5.11  Compliance with Laws ..............................................  10
   5.12  Taxes .............................................................  10
   5.13  Consents ..........................................................  11
   5.14  Authorization; Enforcement ........................................  11
   5.15  Issuance of Shares; Lien of Escrow Agreement ......................  11
   5.16  No Conflicts ......................................................  12
   5.17  Intellectual Property .............................................  13
   5.18  Foreign Corrupt Practices Act .....................................  15
   5.19  Material Contracts ................................................  15
   5.20  Right of First Refusal; Stockholders' Agreement; Voting and
         Registration Rights ...............................................  15
   5.21  Form S-3 Eligibility ..............................................  16
   5.22  Previous Issuances Exempt .........................................  16
   5.23  No Integrated Offering ............................................  16
   5.24  Acknowledgment Regarding Securities ...............................  17
</TABLE>

                                      -i-
<PAGE>

<TABLE>
<S>                                                                          <C>
   5.25  Year 2000 ......................................................... 17
   5.26  Insurance ......................................................... 18
   5.27  Environmental Matters ............................................. 18
   5.28  Exchange Agreements ............................................... 19
   5.29  Rare Medium Note Holders .......................................... 19
   5.30  Employee Relations ................................................ 19
   5.31  Related Party Transactions ........................................ 20
   5.32  Acknowledgment Regarding the Purchaser's Purchase of the Securities 20
   5.33  Corporate Minute Books ............................................ 21
   5.34  Disclosure ........................................................ 21
   5.35  Fresh Air Solutions Liabilities ................................... 21
6. Conditions of Parties' Obligations ...................................... 22
   6.1   Conditions of the Purchaser's Obligations ......................... 22
   6.2   Conditions of Company's Obligations ............................... 24
7. Covenants ............................................................... 25
   7.1   Maintain Corporate Rights and Facilities .......................... 25
   7.2   Maintain Insurance ................................................ 25
   7.3   Information Rights ................................................ 25
   7.4   Notice of Litigation, Disputes and Adverse Changes ................ 27
   7.5   Conduct of Business ............................................... 28
   7.6   Compliance with Certificate of Incorporation and Bylaws ........... 28
   7.7   Internal Accounting Controls ...................................... 28
   7.8   Indemnification of the Board of Directors ......................... 28
   7.9   Use of Proceeds ................................................... 28
   7.10  Reservation of Common Stock ....................................... 28
   7.11  Advice of Changes; Filings; Proxy ................................. 28
   7.12  Future Offerings .................................................. 29
8. Negative Covenants ...................................................... 29
   8.1   No Solicitation ................................................... 30
   8.2   Protective Provisions ............................................. 31
   8.3   No Purchase by Apollo Purchasers .................................. 32
9. Registration Rights ..................................................... 32
   9.1   Certain Definitions ............................................... 32
   9.2   Demand Registration ............................................... 33
   9.3   Piggyback Registration ............................................ 35
   9.4   S-3 Registrations ................................................. 36
   9.5   Expenses .......................................................... 37
   9.6   Preparation and Filing ............................................ 37
   9.7   Indemnification ................................................... 40
   9.8   Underwriting Agreement ............................................ 43
   9.9   Information From Selling Investors ................................ 43
   9.10  Exchange Act Compliance ........................................... 43
   9.11  No Conflicting Registration Rights ................................ 43
</TABLE>

                                     -ii-
<PAGE>

<TABLE>
<S>                                                                         <C>
     9.12  Registration Rights Regarding the Non-Voting Common Stock ...... 43
10.  Definitions .......................................................... 43
11.  Enforcement .......................................................... 47
     11.1  Remedies at Law or in Equity ................................... 47
     11.2  Cumulative Remedies ............................................ 48
     11.3  No Implied Waiver .............................................. 48
12.  Miscellaneous ........................................................ 48
     12.1  Waivers and Amendments ......................................... 48
     12.2  Notices ........................................................ 49
     12.3  Termination of Agreement ....................................... 50
     12.4  Indemnification ................................................ 51
     12.5  Allocation of Purchase Price ................................... 51
     12.6  Survival of Representations and Warranties, etc ................ 51
     12.7  Severability ................................................... 51
     12.8  Parties in Interest ............................................ 52
     12.9  Headings ....................................................... 52
     12.10 Choice of Law .................................................. 52
     12.11 Expenses ....................................................... 52
     12.12 Counterparts ................................................... 53
     12.13 Entire Agreement ............................................... 53
</TABLE>

                                     -iii-
<PAGE>

                                 LIST OF ANNEXES

                         (Not a part of this Agreement)


Annex 1-A                Certificate of Designation of Series A Convertible
                         Preferred Stock

Annex 1-B                Certificate of Designation of Series B Preferred Stock

Annex 2-A                Form of Series 1-A Warrant

Annex 2-B                Form of Series 1-B Warrant

Annex 2-C                Form of Series 2-A Warrant

Annex 2-D                Form of Series 2-B Warrant

Annex 3                  Form of Escrow Agreement

Annex 6.1(d)             Form of Opinion of Mesirov Gelman Jaffe Cramer &
                         Jamieson, LLP

Annex 6.2(d)             Form of Opinion of Sidley & Austin

                                     -iv-
<PAGE>

                                LIST OF SCHEDULES

                         (Not a part of this Agreement)


Schedule 5.1        -    Capitalization
Schedule 5.2        -    Due Issuance and authorization of Capital Stock
Schedule 5.3        -    Organization
Schedule 5.4        -    Subsidiaries
Schedule 5.5        -    Financial Statements
Schedule 5.6        -    Absence of Certain Developments
Schedule 5.7        -    Title to Property and Assets
Schedule 5.9        -    Undisclosed Liabilities
Schedule 5.10       -    Litigation
Schedule 5.11       -    Compliance with Laws
Schedule 5.12       -    Taxes
Schedule 5.13       -    Consents
Schedule 5.16       -    No Conflicts
Schedule 5.17       -    Intellectual Property
Schedule 5.19       -    Material Contracts
Schedule 5.20       -    Right of First Refusal; Stockholders' Agreement;
                         Voting and Registration Rights
Schedule 5.21       -    Form S-3 Eligibility
Schedule 5.22       -    Previous Issuances Exempt
Schedule 5.24       -    Acknowledgment Regarding Securities
Schedule 5.25       -    Year 2000
Schedule 5.26       -    Insurance
Schedule 5.30       -    Employee Relations
Schedule 5.31       -    Related Party Transactions
Schedule 5.35       -    Fresh Air Solutions Liabilities

                                      -v-
<PAGE>

                             AMENDED AND RESTATED
                         SECURITIES PURCHASE AGREEMENT


          This AMENDED AND RESTATED SECURITIES PURCHASE AGREEMENT (this
"Agreement") is made and entered into this 4th day of June, 1999 by and among
 ---------
RARE MEDIUM GROUP, INC., a Delaware corporation (the "Company") and APOLLO
                                                      -------
INVESTMENT FUND IV, L.P., a Delaware limited partnership, APOLLO OVERSEAS
PARTNERS IV, L.P., a Cayman Islands limited partnership, AIF IV/RRRR LLC, a
Delaware limited liability corporation (the "LLC"), and their respective
                                             ---
assignees (collectively, the "Apollo Purchasers") and certain other persons and
                              -----------------
entities whose names are set forth on the signature pages hereof (the Apollo
Purchasers, such other persons and entities and any partnership or other entity
to which any of the foregoing assigns any of its interests hereunder,
collectively, the "Purchaser").  Certain terms used and not otherwise defined in
                   ---------
the text of this Agreement are defined in Section 10 of this Agreement.


                              W I T N E S S E T H
                              - - - - - - - - - -

          WHEREAS, the Company and the Purchaser entered into a Securities
Purchase Agreement dated as of May 7, 1999 (the "Existing Agreement");
                                                 ------------------

          WHEREAS, since the execution date of the Existing Agreement, the
parties have agreed to amend and restate the Existing Agreement to provide,
among other things, for changes in certain voting rights and other terms; and

          WHEREAS, the Company desires to issue and to sell to the Purchaser,
and the Purchaser desires to purchase from the Company, the Preferred Shares and
the Warrants (each as hereinafter defined), all in accordance with the terms and
provisions of this Agreement, which supersedes and replaces in all respects the
Existing Agreement;

          NOW, THEREFORE, in consideration of the premises and the mutual
representations, warranties and covenants herein contained, the parties hereto
hereby agree as follows:

          1.   Authorization of Securities.  The Company has authorized (or
               ---------------------------
prior to the Closing (as hereinafter defined) shall have authorized) (i) the
issue and sale of 126,000 shares of its Series A Convertible Preferred Stock,
par value $0.01 per share (the "Series A Preferred Shares") and 744,000 shares
                                -------------------------
of its Series B Preferred Stock, par value $0.01 per share (the "Series B
                                                                 --------
Preferred Shares"); (ii) the issue with the Series A Preferred Shares of 126,000
- ----------------
detachable ten-year warrants (the "Series 1-A Warrants"), and with the Series B
                                   -------------------
Preferred Shares of 744,000 detachable ten-year warrants (the "Series 1-B
                                                               ----------
Warrants"), each of which shall entitle its holder to purchase from the Company
- --------
thirteen and one-half (13.5) shares of the Company's common stock, par value
$0.01 per share (the "Common Stock"), or the Company's non-voting
                      ------------
<PAGE>

common stock, par value $0.01 per share (the "Non-Voting Common Stock"),
                                              -----------------------
respectively, at a purchase price ranging from $0.01 to $4.20 per share
depending on the market price of the Common Stock on the date of exercise; (iii)
the issue and sale of 12,262,542 ten-year warrants (the "Series 2 Warrants"),
                                                         -----------------
which shall initially be divided into 1,916,994 Series 2-A Warrants (the "Series
                                                                          ------
2-A Warrants") to purchase from the Company one (1) share of Common Stock at an
- ------------
initial purchase price of $7.00 per share and 10,345,548 Series 2-B Warrants
(the "Series 2-B Warrants") to purchase from the Company one (1) share of Non-
      -------------------
Voting Common Stock at an initial purchase price of $7.00 per share; and (iv)
the issue of up to an additional 500,000 Series A Preferred Shares and an
additional 775,000 Series B Preferred Shares for the payment of dividends, each
such share to be issued with a Series 1-A Warrant or Series 1-B Warrant,
respectively. The Series A Preferred Shares and Series B Preferred Shares
(collectively, the "Preferred Shares") will have the respective rights,
                    ----------------
preferences and privileges set forth in the forms of Certificate of Designation
attached hereto as Annex 1-A and Annex 1-B, respectively (the "Certificates of
                   ---------     ---------                     ---------------
Designation"). The Series 1-A, Series 1-B, Series 2-A and Series 2-B Warrants
- -----------
(collectively, the "Warrants") will have the respective rights, preferences and
                    --------
privileges set forth in the forms of Warrant attached hereto as Annex 2-A, Annex
                                                                ---------  -----
2-B, Annex 2-C and Annex 2-D, respectively. The Common Stock and Non-Voting
- ---  ---------     ---------
Common Stock into which the Preferred Shares are convertible is sometimes
referred to herein as the "Conversion Shares"; the Common Stock and Non-Voting
                           -----------------
Common Stock that may be purchased upon exercise of the Warrants is sometimes
referred to herein as the "Warrant Shares"; and the Preferred Shares and the
                           --------------
Warrants are sometimes referred to herein collectively as the "Securities".
                                                               ----------

          2.   Sale and Purchase of the Securities; Escrow.  Upon the terms and
               -------------------------------------------
subject to the conditions herein contained, the Company agrees to sell to the
Purchaser, and the Purchaser agrees to purchase from the Company, at the
Closing, on the Closing Date (as hereinafter defined), 126,000 Series A
Preferred Shares, 126,000 Series 1-A Warrants, 744,000 Series B Preferred
Shares, 744,000 Series 1-B Warrants, 1,916,994 Series 2-A Warrants and
10,345,548 Series 2-B Warrants for an aggregate purchase price of $87,000,000
(the "Purchase Price").  The Company will immediately deposit $74,400,000 of the
      --------------
Purchase Price into an escrow account (the "Escrow Account") with The Chase
                                            --------------
Manhattan Bank, as escrow agent (the "Escrow Agent"), pursuant to the Pledge,
                                      ------------
Escrow and Disbursement Agreement, dated as of the Closing Date (the "Escrow
                                                                      ------
Agreement"), among the Company, Apollo Investment Fund IV, L.P. and the Escrow
- ---------
Agent.  The Escrow Account will be invested in high-grade, short-term securities
pursuant to Section 2 of the Escrow Agreement and will be pledged to secure the
Company's obligation to redeem the Series B Preferred Stock pursuant to Section
4(b)(i) of the Certificate of Designation of Series B Preferred Stock.  The form
of Escrow Agreement is attached hereto as Annex 3.  By executing this Agreement,
                                          -------
each of the Apollo Purchasers authorize Apollo Investment Fund IV, L.P. to
approve and enter into the Escrow Agreement on behalf of the other Apollo
Purchasers.

          3.   Closing. The closing of the sale to, and purchase by, the
               -------
Purchaser of the Securities referred to in Section 2 hereof (the "Closing")
                                                                  -------
shall occur at the offices of Sidley & Austin, 875 Third Avenue, New York, New
York 10022, on the third business day after the

                                      -2-
<PAGE>

satisfaction or waiver of all of the conditions set forth in Section 6 hereof
(the "Closing Date"). At the Closing, the Company shall deliver to the Purchaser
      ------------
certificates evidencing the Preferred Shares and Warrants (in such denominations
as shall be specified in writing by the Purchaser), each of which shall be
registered in the Purchaser's name, against delivery to the Company by the
Purchaser of the Purchase Price payable by (i) wire transfer, in immediately
available funds to an account that the Company will designate in writing to the
Purchaser prior to the Closing Date, (ii) certified or cashier's check payable
to the order of the Company or (iii) such other form of payment as may be
acceptable to the Company.

          4.   Representations and Warranties of the Purchaser; Register of
               ------------------------------------------------------------
Securities; Restrictions on Transfer. Each entity comprising the Purchaser,
- ------------------------------------
including for this purpose any entity that is a member of the LLC, severally
(and not jointly) represents and warrants to the Company as follows:

          4.1  Organization.  It is duly organized, validly existing and in good
               ------------
standing under the laws of the jurisdiction of its organization and has all
requisite power and authority to carry on its business as now being conducted.
Each such entity is duly qualified or licensed to do business and is in good
standing in each jurisdiction in which the nature of its business or the
ownership or leasing of its properties makes such qualifications or licensing
necessary, other than in such jurisdictions where the failure to be so qualified
or licensed (individually or in the aggregate) could not be reasonably expected
to either prevent or materially delay its ability to perform its obligations
hereunder.

          4.2  Authority.  Each such entity that is executing this Agreement or
               ---------
any Transaction Document has the requisite corporate or partnership power and
authority to execute and deliver this Agreement and each Transaction Document to
which it is party, and to consummate the transactions contemplated hereby and
thereby.  The execution, delivery and performance of this Agreement, the
Transaction Documents and the other documents and instruments referred to
herein, in each case to which each such entity is a party, and the consummation
of the transactions contemplated hereby and thereby, have been duly authorized
by all necessary action on the part of such entity and no other proceedings on
the part of any such entity are necessary to authorize this Agreement, any
Transaction Documents or any such other agreement, document or instrument or to
consummate the transactions so contemplated hereby or thereby.  This Agreement
and the Transaction Documents, and the other documents and instruments referred
to herein, to which such each entity is a party have been duly executed and
delivered by it and each such document constitutes a valid and binding
obligation such entity enforceable against it in accordance with its respective
terms.

          4.3  Consents and Approvals; No Violations.  Except for filings,
               -------------------------------------
permits, authorizations, consents and approvals as may be required under, and
other applicable requirements of, the Securities Exchange Act of 1934, as
amended (the "Exchange Act"), applicable state securities or blue sky laws, the
              ------------
Hart-Scott-Rodino Antitrust Improvements Act of 1976, as amended (the "HSR
                                                                       ---
Act"), the Delaware General Corporation Law and state takeover
- ---
                                      -3-
<PAGE>

laws, neither the execution, delivery or performance of this Agreement and the
Transaction Documents to which it is a party, nor the consummation by each such
entity of the transactions contemplated hereby or thereby will (i) conflict with
or result in any breach of any provision of its agreement of limited
partnership, operating agreement or other organizational documents, (ii) require
any filing with, notice to, or permit, authorization, consent or approval of,
any Governmental Entity (except where the failure to obtain such permits,
authorizations, consents or approvals or to make such filings would not
reasonably be expected to prevent or materially delay the consummation of the
transactions contemplated by this Agreement), (iii) result in a violation or
breach of, require any notice to any party pursuant to, or constitute (with or
without due notice or lapse of time or both) a default (or give rise to any
right of termination, amendment, cancellation or acceleration) under, any of the
terms, conditions or provisions of any contract to which any such entity is a
party or by which it or any of its properties or assets may be bound or (iv)
violate any order applicable to it, any of its properties or assets, except in
the case of clauses (iii) and (iv) for violations, breaches or defaults which
could not, individually or in the aggregate, be reasonably expected to either
prevent or materially delay its ability to perform its obligations hereunder.

          4.4  Information Supplied.  None of the written information supplied
               --------------------
by each such entity specifically for inclusion or incorporation by reference in
any documents to be filed by the Company with the Securities and Exchange
Commission (the "SEC") or any Governmental Entity in connection with the
                 ---
transactions contemplated hereby will, on the date of its filing contain any
untrue statement of a material fact or omit to state any material fact required
to be stated therein or necessary in order to make the statements therein, in
light of the circumstances under which they are made, not misleading.

          4.5  Ownership of Company Common Stock.  As of the date hereof, the
               ---------------------------------
entities comprising the Purchaser do not own of record or beneficially, a number
of shares of Common Stock which, in the aggregate, exceeds 1% of the outstanding
shares of Common Stock on the date hereof and, without the consent of the
Company, which consent will not be unreasonably withheld, the entities
comprising the Purchaser shall not acquire or dispose of any shares of Common
Stock until after the Closing Date except in connection with the transactions
contemplated by this Agreement.

          4.6  Financing.  At the Closing, the entities comprising the Purchaser
               ---------
will have $87 million available to purchase the Securities.

          4.7  Brokers.  The Purchaser has not engaged a broker, investment
               -------
banker, financial advisor, finder or other person (other than the entities
comprising the Purchaser, including for this purpose any entity that is a member
of the LLC, pursuant to Section 6.1(j) hereof) entitled to any brokerage,
investment banker's, financial advisor's, finder's or other fee or commission
for which the Company will be liable in connection with the execution of this
Agreement by the Purchaser or the performance by the Purchaser of its
obligations hereunder.

                                      -4-
<PAGE>

          4.8  Investment Representations and Warranties.  (a)  Each such entity
               -----------------------------------------
is acquiring the Securities to be acquired hereunder for its own account, for
investment and not with a view to the public resale or distribution thereof, and
without any present intention of distributing the same.

          (b)  Each such entity comprising the Purchaser understands that the
Securities have not been, and will not upon issuance be, registered or qualified
under the Securities Act of 1933, as amended (the "Securities Act"), or any
                                                   --------------
applicable state securities laws, by reason of their issuance in a transaction
exempt from the registration or qualification requirements of the Securities Act
and such laws, and that the Securities must be held indefinitely unless a
subsequent disposition thereof is registered or qualified under the Securities
Act and such laws or is exempt from such registration or qualification.

          (c)  Each such entity is an "accredited investor" within the meaning
of Rule 501(a) promulgated under the Securities Act.

          (d)  Each such entity (A) has been furnished with or has had full
access to all of the information that it considers necessary or appropriate to
make an informed investment decision with respect to the Securities and that it
has requested from the Company, (B) has had an opportunity to discuss with
management of the Company the intended business and financial affairs of the
Company and to obtain information (to the extent the Company possessed such
information or could acquire it without unreasonable effort or expense)
necessary to verify any information furnished to it or to which had access and
(C) can bear the economic risk of such investment in the Securities, has such
knowledge and experience in business and financial matters so as to enable it to
understand and evaluate the risks of and form an investment decision with
respect to its investment in the Securities and to protect its own interests in
connection with such investment.

          (e)  Each such entity has no need for liquidity in its investment in
the Securities and is able to bear the economic risk of its investment in the
Securities and the complete loss of all of such investment.

          (f)  Each such entity understands that the transferability of the
Securities is restricted.

          (g)  Each such entity recognizes that an investment in the Company
involves certain risks and has taken full cognizance of, and understands all of,
the risks related to the purchase of the Securities.

          5.   Representations and Warranties by the Company.  The Company
               ---------------------------------------------
(which term as used in this Section 5 shall, unless the context otherwise
requires, be deemed to include any Subsidiary of the Company) represents and
warrants to the Purchaser as follows:

                                      -5-
<PAGE>

          5.1  Capitalization. (a) The authorized capital stock of the Company
               --------------
consists of two hundred million (200,000,000) shares of Common Stock, par value
$.01 per share, and ten million (10,000,000) shares of Preferred Stock, par
value $.01 per share. The Company has no other class of capital stock
authorized, issued or outstanding. The capitalization of the Company as of the
date hereof, including, without limitation, the authorized capital stock, the
number of shares issued and outstanding, the number of shares issuable and
reserved for issuance pursuant to the Company's stock option plans, the number
of shares issuable and reserved for issuance pursuant to securities (other than
the Preferred Stock and the Warrants) exercisable for, or convertible into or
exchangeable for any shares of capital stock and the number of shares to be
reserved for issuance upon conversion of the Preferred Shares and exercise of
the Warrants is set forth on Schedule 5.1(a) of the disclosure schedule
                             ---------------
delivered by the Company to the Purchaser in connection herewith (the
"Disclosure Schedule"). Schedule 5.1(a) also lists any stockholders that, to the
 -------------------    ---------------
Company's knowledge, beneficially own five percent (5%) or more of the Common
Stock, determined in accordance with Rule 13d-3 of the Exchange Act. Schedule
                                                                     --------
5.1(a) lists the estimated number of shares of capital stock that may be
- ------
issuable by the Company in the event that the transactions contemplated by any
letter of intent (a "Letter of Intent") or similar oral or written understanding
                     ----------------
between the Company and another person or entity are consummated.

          (b)  Except as set forth on Schedule 5.1(b), as of the date of this
                                      ---------------
Agreement, (i) there are no outstanding options, warrants, scrip, rights to
subscribe to, calls or commitments of any character whatsoever relating to, or
securities or rights convertible into or exercisable or exchangeable for, any
shares of capital stock of the Company, or arrangements by which the Company is
or may become bound to issue additional shares of capital stock, nor are any
such issuances or arrangements contemplated, (ii) there are no agreements or
arrangements under which the Company is obligated to register the sale of any of
its securities under the Securities Act (except as provided hereunder), (iii)
the Company has no obligation (contingent or otherwise) to purchase, redeem or
otherwise acquire any of its equity securities or any interests therein or to
pay any dividend or make any distribution in respect thereof.  Schedule 5.1(b)
                                                               ---------------
also includes complete and accurate copies of all stock option or stock purchase
plans, including, without limitation, a list of all outstanding options,
warrants or other rights to acquire shares of the Company's stock and a
description of the material terms of such outstanding options, warrants or other
rights.  Except as set forth on Schedule 5.1(b), there are no securities or
                                ---------------
instruments containing antidilution or similar provisions that will be triggered
by the issuance of the Securities in accordance with the terms of this
Agreement, the Certificates of Designation or the Warrants.

          (c)  The Company has furnished to the Purchaser true and correct
copies of the Company's and each Subsidiary's certificates of incorporation (the
"Certificates of Incorporation") as in effect on the date hereof, and the
 -----------------------------
Company's and each Subsidiary's by-laws (the "By-laws") as in effect on the date
                                              -------
hereof.

          5.2  Due Issuance and Authorization of Capital Stock.  All of the
               -----------------------------------------------
outstanding shares of capital stock of the Company have been, or upon issuance
will be, validly issued, fully paid and nonassessable. Except as disclosed on
Schedule 5.2, no shares of capital stock of the
- ------------

                                      -6-
<PAGE>

Company are subject to (a) preemptive rights or any other similar rights of the
stockholders of the Company or (b) any lien, claim, judgment, charge, mortgage,
security interest, pledge, escrow equity or other encumbrance (collectively,
"Encumbrances") and the sale and delivery of the Securities to the Purchaser
 ------------
pursuant to the terms hereof will vest in the Purchaser legal and valid title to
the Securities, free and clear of all Encumbrances.

          5.3  Organization.  The Company (a) is a corporation duly organized,
               ------------
validly existing and in good standing under the laws of the State of Delaware,
(b) is duly qualified to do business as a foreign corporation and is in good
standing in each jurisdiction, as listed on Schedule 5.3, where the nature of
                                            ------------
the property owned or leased by it or the nature of the business conducted by it
makes such qualification necessary, except where the failure to be so qualified
would not have a Material Adverse Effect on the Company or any Subsidiary, (c)
has its principal place of business and chief executive office at 44 West 18th
Street, New York, New York and (d) has all requisite corporate power and
authority to own or lease and operate its assets and carry on its business as
presently being conducted. For purposes of this Agreement, "Material Adverse
                                                            ----------------
Effect" shall mean any material adverse effect on (i) the Securities, (ii) the
- ------
ability of the Company to perform its obligations under this Agreement, the
Escrow Agreement, the Certificates of Designation or the Warrants, or (iii) the
condition (financial or otherwise), properties, assets, liabilities, business or
operations of the Company or any Subsidiary (except for any changes that are the
effect or result of economic factors generally affecting the economy as a
whole).

          5.4  Subsidiaries.  (a)  Schedule 5.4(a) lists the name of each
               ------------        ---------------
Subsidiary in which the Company has a direct or indirect equity interest and
sets forth the number and class of the authorized capital stock of each and the
number of shares of each which are issued and outstanding. The Company owns the
equity interest in each Subsidiary set forth on Schedule 5.4(a), in each case
                                                ---------------
free and clear of any Encumbrance.  Each Subsidiary is (i) duly organized,
validly existing and in good standing under the laws of its state of
organization; (ii) duly qualified to do business as a foreign corporation and is
in good standing in each jurisdiction, as listed on Schedule 5.4(a), where the
                                                    ---------------
nature of the property owned or leased by it or the nature of the business
conducted by it makes such qualification necessary, except where the failure to
be so qualified would not have a Material Adverse Effect, and (iii) has all
requisite organizational power and authority to own or lease and operate its
assets and carry on its business as presently being conducted.

          (b)  Except as disclosed on Schedule 5.4(b), there are (i) no
                                      ---------------
outstanding securities convertible into, exchangeable for or carrying the right
to acquire any class of securities of the Subsidiaries (whether from the
Company, the Subsidiaries or otherwise), or subscriptions, warrants, options,
rights or other arrangements or commitments of any kind that relate to or
require the issuance, sale or other disposition or transfer of any of the
Subsidiaries' respective equity securities (whether or not presently issued) or
any interest therein, (ii) no arrangements by which the Company or any
Subsidiary is or may become bound to issue additional shares of capital stock of
any Subsidiary, nor are any such issuances or arrangements contemplated, and
(iii) no obligations (contingent or otherwise) of any Subsidiary to purchase,
redeem or otherwise

                                      -7-
<PAGE>

acquire any of its equity securities or any interests therein or to pay any
dividend or make any distribution in respect thereof. Schedule 5.4(b) also
                                                      ---------------
includes complete and accurate copies of all stock option or stock purchase
plans, including, without limitation, a list of all outstanding options,
warrants or other rights to acquire shares of any Subsidiary's stock and a
description of the material terms of such outstanding options, warrants or other
rights. Schedule 5.4(c) lists all other instruments and agreements governing
        ---------------
securities convertible into or exercisable or exchangeable for capital stock of
the Subsidiaries.

          5.5  Financial Statements.  The Company has caused to be delivered to
               --------------------
the Purchaser an audited consolidated balance sheet of the Company and the
Subsidiaries (other than those entities that became Subsidiaries of the Company
after the date of the balance sheet) for the year ended December 31, 1998 (the
"Balance Sheet"), audited consolidated statements of income and retained
 -------------
earnings and cash flows of the Company and the Subsidiaries for the year ended
December 31, 1998 (collectively with the Balance Sheet, the "Financial
                                                             ---------
Statements"), and an unqualified auditor's opinion with an explanatory paragraph
- ----------
with respect to the Financial Statements, copies of which are set forth on
Schedule 5.5. The Financial Statements were prepared in conformity with United
- ------------
States generally accepted accounting principles applied on a consistent basis
(except as may be indicated in the notes thereto) and fairly present, in all
material respects, the financial position and the results of operations of the
Company and the Subsidiaries as of, and for the year ended, December 31, 1998.

          5.6  Absence of Certain Developments.  Except as set forth on Schedule
               -------------------------------                          --------
5.6, since December 31, 1998, neither the Company nor the Subsidiaries has
- ---
suffered any change or development in its business, financial condition, or
results of operations which has had a Material Adverse Effect.  Except as set
forth on Schedule 5.6, since December 31, 1998, the Company and the Subsidiaries
         ------------
have conducted their business in the ordinary and usual course consistent with
past practices and have not (a) sold, leased, transferred or otherwise disposed
of any of the assets (other than dispositions in the ordinary course of business
consistent with past practices), (b) terminated or amended in any material
respect any material contract or lease to which the Company or the Subsidiaries
is a party or to which it is bound or to which its properties are subject, (c)
suffered any loss, damage or destruction, whether or not covered by insurance,
which have had a Material Adverse Effect, (d) made any change in the accounting
methods or practices it follows, whether for general financial or tax purposes,
(e) incurred any liabilities (other than in the ordinary course of business or
contractual liabilities) which, individually or in the aggregate, have had a
Material Adverse Effect, (f) incurred, created or suffered to exist any
Encumbrances (other than non-material Encumbrances) on its assets, (g) increased
the compensation payable or to become payable to any of its officers or
employees or increased any bonus, severance, accrued vacation, insurance,
pension or other employee benefit plan, payment or arrangement made by the
Company or any of the Subsidiaries for or with any such officers or employees
out of the ordinary course of business, (h) suffered any labor dispute, strike,
or other work stoppage, (i) made or obligated itself to make any capital
expenditures in excess of $2,500,000 individually or in the aggregate, (j)
entered into any contract or other agreement requiring the Company or a
Subsidiary to make payments in excess of $500,000 per annum, individually or in
the aggregate, other than in

                                      -8-
<PAGE>

the ordinary course of business consistent with past practices, (k) paid any
dividends, whether in cash or property, on account of, or repurchased any of,
the Common Stock, or (l) entered into any agreement to do any of the foregoing.

          5.7  Title to Property and Assets.  Except as set forth on Schedule
               ----------------------------                          --------
5.7, neither the Company nor any Subsidiary owns any real property.  Each of the
- ---
Company and the Subsidiaries owns its personal property and assets free and
clear of all Encumbrances, except liens that arise in the ordinary course of
business which do not materially affect the value of such property and do not
materially interfere with the use made and proposed to be made of such property
by the Company and its Subsidiaries.  With respect to any real property, except
as set forth on Schedule 5.7, the Company is not in material violation of any of
                ------------
its leases.  All machinery, equipment, furniture, fixtures and other personal
property and all plants, buildings, structures and other facilities, including,
without limitation, office space used by the Company and the Subsidiaries in the
conduct of its business, is in good operating condition and fit for operation in
the ordinary course of business (subject to normal wear and tear) except for any
defects which will not materially interfere with the conduct of normal
operations of the Company and the Subsidiaries. The Company has delivered to the
Purchaser true and complete copies of any leases related to the real property
used by the Company and the Subsidiaries in the conduct of their business (the
"Real Property").
 -------------

          5.8  SEC Documents.  Since December 31, 1995, the Company has timely
               -------------
filed all reports, schedules, forms, statements and other documents required to
be filed by it with the SEC pursuant to the reporting requirements of the
Exchange Act (all of the foregoing filed prior to the date hereof and after
December 31, 1995, and all exhibits included therein and financial statements
and schedules thereto and documents incorporated by reference therein, being
hereinafter referred to herein as the "SEC Documents").  The Company has
                                       -------------
delivered to the Purchaser true and complete copies of the SEC Documents, except
the exhibits and schedules thereto and the documents incorporated therein.  As
of their respective dates, the SEC Documents complied with the requirements of
the Exchange Act or the Securities Act, as the case may be, and the rules and
regulations of the SEC promulgated thereunder applicable to the SEC Documents,
and none of the SEC Documents, at the time they were filed with the SEC,
contained any untrue statement of a material fact or omitted to state a material
fact required to be stated therein or necessary in order to make the statements
therein, in light of the circumstances under which they were made, not
misleading.  As of their respective dates, the financial statements of the
Company included in the SEC Documents complied as to form in all material
respects with applicable accounting requirements and the published rules and
regulations of the SEC applicable with respect thereto. Such financial
statements have been prepared in accordance with United States generally
accepted accounting principles applied on a consistent basis during the periods
involved (except (a) as may be otherwise indicated in such financial statements
or the notes thereto, or (b) in the case of unaudited interim statements, to the
extent they may not include footnotes or may be condensed or summary statements)
and fairly present in all material respects the consolidated financial position
of the Company and its consolidated Subsidiaries as of the

                                      -9-
<PAGE>

dates thereof and the consolidated results of their operations and cash flows
for the periods then ended (subject, in the case of unaudited statements, to
immaterial year-end audit adjustments).

          5.9  Undisclosed Liabilities.  Schedule 5.9 sets forth an accurate
               -----------------------   ------------
list of (a) all liabilities of the Company and its Subsidiaries in excess of
$10,000 that are not reflected on the Financial Statements, the unaudited
financial statements of those entities that became Subsidiaries of the Company
after the date of the Financial Statements, or in the SEC Documents (other than
trade payables in the ordinary course of business), and (b) all loan agreements,
indemnity or guaranty agreements, bonds, mortgages, liens, pledges or other
security agreements to which the Company or any Subsidiary is a party. Except as
set forth on Schedule 5.9, since the date of the Financial Statements, neither
             ------------
the Company nor any Subsidiary has incurred any liabilities of any kind,
character and description, whether accrued, absolute, secured or unsecured,
contingent or otherwise other than (i) liabilities incurred in the ordinary
course of business subsequent to the date of the Financial Statements and (ii)
obligations under contracts and commitments incurred in the ordinary course of
business and not required under generally accepted accounting principles to be
reflected in the Financial Statements.

          5.10 Litigation.  Except as set forth on Schedule 5.10, as of the date
               ----------                          -------------
hereof, there is no claim, action, proceeding, lawsuit, inquiry, arbitration or
investigation before or by any court, public board, self-regulatory organization
or body including, without limitation, the SEC or the National Association of
Securities Dealers Automated Quotation System (the "Nasdaq"), pending or, to the
                                                    ------
knowledge of the Company or any Subsidiary, threatened against or affecting the
Company, any Subsidiary, or their respective directors or officers in their
capacities as such. To the knowledge of the Company, there are no facts which,
if known by a potential claimant or governmental authority, could reasonably be
expected to give rise to a claim or proceeding which, if asserted or conducted
with results unfavorable to the Company or any Subsidiary, could have a Material
Adverse Effect. Neither the Company nor any Subsidiary is subject to any
outstanding order, ruling, judgment or decree that would have a Material Adverse
Effect.

          5.11 Compliance with Laws.  Except as set forth on Schedule 5.11,
               --------------------                          -------------
neither the Company nor any Subsidiary has received notification from any agency
or department of any federal, state, foreign, or local government (a) asserting
a violation of any law applicable to the conduct of its business, (b)
threatening to revoke any license, franchise, permit or government
authorization, or (c) restricting or in any way limiting its operations as
currently conducted or proposed to be conducted.

          5.12 Taxes.  Except as set forth on Schedule 5.12, the Company and
               -----                          -------------
each Subsidiary has made or filed all federal and all material state, local and
foreign income tax returns required to be filed with respect to the Company and
each Subsidiary in a timely manner (taking into account all extensions of due
dates). The Company and each Subsidiary has paid all taxes and other
governmental assessments and charges, shown or determined to be due on such
returns, reports and declarations, except those being contested in good faith
and for which adequate reserves have been made, and has set aside on its books
provisions reasonably adequate for the

                                      -10-
<PAGE>

payment of all taxes for periods subsequent to the periods to which such
returns, reports or declarations apply. There are no unpaid taxes claimed to be
due by the taxing authority of any jurisdiction, and the officers of the Company
know of no basis for any such claim. Neither the Company or any Subsidiary has
executed a waiver with respect to any statute of limitations relating to the
assessment or collection of any federal, state or local tax. None of the
Company's or any Subsidiary's tax returns has been or is being audited by any
taxing authority.

          5.13 Consents.  Except as set forth on Schedule 5.13, neither the
               --------                          -------------
execution, delivery or performance of this Agreement, the Escrow Agreement, the
Certificates of Designation or the Warrants by the Company, nor the consummation
by it of the obligations and transactions contemplated hereby or thereby
(including, without limitation, the issuance, the reservation for issuance and
the delivery of the Securities and the Conversion Shares and the Warrant Shares)
requires any consent of, authorization by, exemption from, filing with or notice
to any governmental authority or any other person, other than the approvals or
filings required under the HSR Act, the Securities Act and the Exchange Act, and
the approval of the stockholders of the Company.

          5.14 Authorization; Enforcement.  The Company has all requisite
               --------------------------
corporate power and has taken all necessary corporate action required for the
due authorization, execution, delivery and performance by the Company of this
Agreement and to consummate the transactions contemplated hereby (including,
without limitation, performance under the Escrow Agreement and the issuance of
the Securities, the Conversion Shares and the Warrant Shares). The execution,
delivery and performance by the Company of each of this Agreement, the Escrow
Agreement and the Warrants, the execution and filing of the Certificates of
Designation, and the consummation by the Company of the transactions
contemplated hereby and thereby, have been duly authorized by all necessary
corporate action on the part of the Company, except the approval of the
Company's stockholders (as to which the Company will take the action required by
Section 7.11 hereof).  The Company has taken all actions under its Certificate
of Incorporation and its By-laws as may be necessary or advisable to provide the
Purchaser with the rights hereby contemplated.  Each of this Agreement, the
Escrow Agreement, the Warrants and other Transaction Documents have been duly
and validly executed and delivered, and the Certificates of Designation have
been duly filed, by the Company and constitute the valid and binding obligation
of the Company, enforceable against the Company in accordance with its terms,
except to the extent that such enforceability (a) may be limited by bankruptcy,
insolvency, reorganization, moratorium or other similar laws relating to
creditors' rights generally, and (b) is subject to general principles of equity.

          5.15 Issuance of Shares; Lien of Escrow Agreement.  (a)  The Preferred
               --------------------------------------------
Shares, the Conversion Shares and the Warrant Shares are duly authorized and a
sufficient number of shares of authorized but unissued Common Stock have been
reserved for issuance upon conversion of the Preferred Shares and exercise of
the Warrants, and upon such issuance or exercise in accordance with the terms of
this Agreement, the Certificates of Designation or the Warrants (as applicable),
all such Conversion Shares and Warrant Shares will be duly authorized, validly
issued, fully paid and non-assessable, and free from all taxes, liens, claims
and

                                      -11-
<PAGE>

Encumbrances, and will not be subject to preemptive rights or other similar
rights of stockholders of the Company and will not impose personal liability
upon the holder thereof. If the Company's stockholders vote to approve the
creation of the Non-Voting Common Stock but do not vote to approve the
conversion of the Series B Preferred Stock to Series A Preferred Stock, a
sufficient number of shares of authorized but unissued Non-Voting Common Stock
will have been reserved for issuance upon conversion of the Series B Preferred
Stock and the Series 1-B Warrants and Series 2-B Warrants and upon such issuance
or exercise in accordance with the terms of this Agreement, the Certificates of
Designation or the Warrants (as applicable), the Non-Voting Common Stock will be
validly issued, fully paid and non-assessable, and free from all taxes, liens,
claims and Encumbrances, and will not be subject to pre-emptive rights or
similar rights of stockholders of the Company and will not impose personal
liability upon the holder thereof.

          (b)  The lien on the pledged securities constituting the Escrow
Account under the Escrow Agreement creates a valid security interest in such
securities and account securing the Company's obligation to redeem the Series B
Preferred Stock (pursuant to Section 4 of the Certificate of Designation of
Series B Preferred Stock) and the Series 1-B Warrants (pursuant to Section 5.1
of the Form of Series 1-B Warrant). On the Closing Date, such security interest
will constitute a first, prior and exclusive lien with respect to such
securities and account, and no filings, registrations, recordings, deliveries or
other actions on the part of the Company will be required in order to perfect
the security interest in such securities and account other than filings,
registrations, recordings, deliveries or other actions which, on or before the
Closing Date, will have been duly made by or on behalf of the Company.

          5.16 No Conflicts.  Except as set forth on Schedule 5.16, the
               ------------                          -------------
execution, delivery and performance of this Agreement, the Escrow Agreement and
the Warrants, the execution and filing of the Certificates of Designation, and
the consummation of the transactions contemplated hereby and thereby (including,
without limitation, the issuance and reservation for issuance, as applicable, of
the Preferred Shares, the Warrants, the Conversion Shares and the Warrant
Shares) will not (a) result in a violation of the Certificates of Incorporation
or By-laws of the Company or any Subsidiary, (b) conflict with or result in the
breach of the terms, conditions or provisions of or constitute a default (or an
event which with notice or lapse of time or both would become a default) under,
or give rise to any right of termination, acceleration or cancellation under,
any material agreement, lease, mortgage, license, indenture, instrument or other
contract to which the Company or any Subsidiary is a party, (c) result in a
violation of any law, rule, regulation, order, judgment or decree (including,
without limitation, U.S. federal and state securities laws and regulations)
applicable to the Company or any Subsidiary or by which any property or asset of
the Company or any Subsidiary is bound or affected, or (d) result (except
pursuant to the Escrow Agreement) in the creation of any Encumbrance upon any of
their assets.  Neither the Company nor any Subsidiary is in violation of its
respective Certificate of Incorporation, By-laws or other organizational
documents, and neither the Company nor any Subsidiary is in default (and no
event has occurred which, with notice or lapse of time or both, would cause the
Company or any Subsidiary to be in default) under, nor has there occurred any
event giving others (with notice or lapse of time or both) any rights of
termination, amendment, acceleration or cancellation of, any

                                      -12-
<PAGE>

material agreement, indenture or instrument to which the Company or any
Subsidiary is a party. The businesses of the Company and its Subsidiaries are
not being conducted in violation of any law, ordinance or regulation of any
Governmental Entity, except for violations that, either singly or in the
aggregate, would not have a Material Adverse Effect. Except as set forth on
Schedule 5.16, to the knowledge of the Company, the Company is not in violation
- -------------
of the qualification or maintenance requirements of the Nasdaq National Market
System (the "Nasdaq National Market") and is not subject to any threat of a
             ----------------------
proceeding or any proceeding to disqualify the Common Stock from qualification
to trade on the Nasdaq National Market.

          5.17 Intellectual Property.  (a)  "Intellectual Property" means (i)
               ---------------------         ---------------------
all inventions (whether patentable or unpatentable and whether or not reduced to
practice), all improvements thereon, and all patents, patent applications and
patent disclosures, together with all reissuances, continuations, continuations-
in-part, revisions, extensions and reexaminations thereof, (ii) all trademarks,
service marks, trade dress, logos, trade names and corporate names, together
with all translations, adaptations, derivations and combinations thereof and
including all goodwill associated therewith, and all applications, registrations
and renewals in connection therewith, (iii) all copyrightable works, all
copyrights and all applications, registrations and renewals in connection
therewith, (iv) all trade secrets and confidential business information
(including, without limitation, ideas, research and development, know-how,
formulas, compositions, manufacturing and production processes and techniques,
technical data, designs, drawings, specifications, customer and supplier lists,
pricing and cost information and business and marketing plans and proposals),
(v) all computer software (including, without limitation, data and related
documentation) and source codes, (vi) all other proprietary rights, (vii) all
copies and tangible embodiments of the foregoing (in whatever form or medium)
and (viii) all licenses or agreements in connection with the foregoing. "Company
                                                                         -------
Intellectual Property" means all Intellectual Property which is used in
- ---------------------
connection with, and is material to, the business of the Company or any
Subsidiary.

          (b)  Except as set forth on Schedule 5.17, with respect to each
                                     -------------
material item of Company Intellectual Property:

               (i)    the Company and the Subsidiaries possesses all right,
title and interest in and to the item, free and clear of any Encumbrance,
license or other restriction, and the Company or its Subsidiaries has taken or
caused to be taken reasonable and prudent steps to protect its rights in and to,
and the validity and enforceability of, the item;

               (ii)   the item is not subject to any outstanding injunction,
judgment, order, decree, ruling or charge;

               (iii)  no action, suit, proceeding, hearing, investigation,
charge, complaint, claim or demand is pending or, to the knowledge of the
Company, is threatened which challenges the legality, validity, enforceability,
use or ownership of the item;

                                      -13-
<PAGE>

               (iv) the Company has never agreed to indemnify any person for or
against any interference, infringement, misappropriation or other conflict with
respect to the item;

               (v)  each license, sublicense, agreement or permission covering
the item is legal, valid, binding, enforceable and in full force and effect; and

               (vi) no party to any license, sublicense or agreement is in
breach or default, and no event has occurred which, with notice or lapse of
time, would constitute a breach or default or permit termination, modification
or acceleration thereunder, except for any such breach, default or event which
would not have a Material Adverse Effect.

          Schedule 5.17 sets forth a list of all Company Intellectual Property.
          -------------
All registered patents, copyrights, trademarks, and service marks listed on
Schedule 5.17 are valid and subsisting and in full force and effect and are not
- -------------
subject to any taxes or other fees except for annual filing and maintenance
fees.  Except as set forth on Schedule 5.17, neither the Company nor any
                              -------------
Subsidiary is aware of (a) any notice, claim or assertion that any item of
Company Intellectual Property is invalid or (b) any facts which would cause a
reasonable person to conclude that any item of Company Intellectual Property is
invalid.  Other than as set forth on Schedule 5.17, neither the Company nor any
                                     -------------
Subsidiary has knowingly interfered with, infringed upon, misappropriated or
otherwise come into conflict with any Intellectual Property rights of third
parties, and there is no pending or, to the knowledge of the Company, threatened
claim or litigation against the Company or any Subsidiary contesting the right
to use its Intellectual Property rights, asserting the misuse of any thereof, or
asserting the infringement or other violation of any Intellectual Property
rights of a third party.  True and complete copies of all issued patents and
copies of all filed patent applications of the Company have been provided to the
Purchaser.

          (c)  Other than as set forth on Schedule 5.17, there are no
                                          -------------
outstanding options, licenses, or agreements of any kind relating to Company
Intellectual Property, nor is the Company or any Subsidiary bound by or a party
to any options, licenses, or agreements of any kind with respect to Company
Intellectual Property. Except as set forth on Schedule 5.17, to the knowledge
                                               -------------
of the Company or any Subsidiary, no third party has interfered with, infringed
upon, misappropriated or otherwise come into conflict with the Intellectual
Property rights of the Company or any Subsidiary.

          (d)  To the knowledge of the Company, none of the key employees of the
Company or any Subsidiary are obligated under any contract (including, without
limitation, licenses, covenants, or commitments of any nature) or other
agreement, or subject to any judgment, decree, or order of any court or
administrative agency, that would interfere with the use of his or her
reasonable diligence to promote the interests of the Company or any Subsidiary
or that would conflict with the Company's or the Subsidiary's businesses as
presently conducted. Neither the execution, delivery or performance of this
Agreement, nor the carrying on of the Company's or the Subsidiaries' businesses
by the employees of the Company or the Subsidiaries,

                                      -14-
<PAGE>

nor the conduct of the Company's and the Subsidiaries' businesses as presently
conducted, will conflict with or result in a breach of the terms, conditions or
provisions of, or constitute a default under, any contract, covenant, or
instrument under which any such key employee is obligated, and which conflict,
breach or default would be materially adverse to the Company or any Subsidiary.

          (e)  The Company has entered into written agreements with all key
employees of the Company and each Subsidiary with provisions seeking to protect
the confidentiality of all Company Intellectual Property and to ensure full and
unencumbered ownership by the Company or a Subsidiary of all Company
Intellectual Property.  The Company, after reasonable investigation, is not
aware of any violation by any such employees of such agreements.  No
stockholder, member, director, officer or employee of the Company or any
Subsidiary has any interest in any of the Company Intellectual Property.

          5.18 Foreign Corrupt Practices Act.  Neither the Company, any
               -----------------------------
Subsidiary, nor any director, officer, agent, employee or other person acting on
behalf of the Company or any Subsidiary has, in the course of his, her or its
actions for, or on behalf of, the Company or any Subsidiary, offered or made,
directly or indirectly through any other person or entity, any payments of
anything of value (in the form of a contribution, gift, entertainment or other
expense), to (a) any person employed by, or acting in an official capacity on
behalf of, any governmental agency, department or instrumentality, or (b) any
foreign or domestic government official, political party or official of such
party, or any candidate for political office or employee thereof.  Neither the
Company, any Subsidiary, nor any director, officer, agent, employee or other
person acting on behalf of the Company or any Subsidiary has violated or is in
violation of any provision of the U.S. Foreign Corrupt Practices Act of 1977, as
amended, or made any bribe, rebate, payoff, influence payment, kickback or
unlawful payment to any foreign or domestic government or political party
official, employee, appointee or candidate.

          5.19 Material Contracts.  Each material contract of the Company and
               ------------------
each Subsidiary is set forth on Schedule 5.19.  Each such contract is the legal,
                                -------------
valid and binding obligation of the Company or its Subsidiary, enforceable
against the Company or such Subsidiary in accordance with its terms, except to
the extent that enforceability may be limited by bankruptcy, insolvency,
fraudulent conveyance or other similar laws affecting creditors' rights
generally and by general equitable principles.  Except as set forth on Schedule
                                                                       --------
5.19, there has not occurred any breach, violation or default or any event that,
- ----
with the lapse of time, the giving of notice or the election of any person, or
any combination thereof, would constitute a breach, violation or default by the
Company or a Subsidiary under any such contract or, to the knowledge of the
Company, by any other person to any such contract.  Neither the Company nor any
Subsidiary has been notified that any party to any material contract intends to
cancel, terminate, not renew or exercise an option under any material contract,
whether in connection with the transactions contemplated hereby or otherwise.

          5.20 Right of First Refusal; Stockholders' Agreement; Voting and
               -----------------------------------------------------------
Registration Rights.  Except as set forth on Schedule 5.20, no party has any
- -------------------                          -------------
right of first refusal, right of first

                                      -15-
<PAGE>

offer, right of co-sale, preemptive right or other similar right regarding the
Company's securities. The issuance of the Securities is not subject to any of
the rights set forth on Schedule 5.20. There are no provisions of the
                        -------------
Certificates of Incorporation or the By-laws, no agreements to which the Company
is a party and no agreements by which the Company, any Subsidiary or the
Securities are bound, which (a) may affect or restrict the voting rights of the
Purchaser with respect to the Securities in its capacity as a stockholder of the
Company, (b) restrict the ability of the Purchaser, or any successor thereto or
assignee or transferee thereof, to transfer the Securities, (c) would adversely
affect the Company's or the Purchaser's right or ability to consummate this
Agreement or comply with the terms of the Warrants and the transactions
contemplated hereby or thereby, (d) require the vote of more than a majority of
the Company's issued and outstanding Common Stock, voting together as a single
class, to take or prevent any corporate action, other than those matters
requiring a class vote under Delaware law, or (e) entitle any party to nominate
or elect any director of the Company or require any of the Company's
stockholders to vote for any such nominee or other person as a director of the
Company.

          5.21 Form S-3 Eligibility.  The Company is currently eligible under
               --------------------
the eligibility requirements of General Instruction I to Registration Statement
on Form S-3 to register the resale of its Common Stock on a registration
statement on Form S-3 under the Securities Act.  To the knowledge of the
Company, there exist no facts or circumstances that would reasonably be expected
to prohibit or delay the preparation and filing of a registration statement on
Form S-3 with respect to the Conversion Shares and the Warrant Shares in
accordance with the terms of this Agreement.  Except as disclosed on Schedule
                                                                     --------
5.21, the Company is not under any obligation, contractual or otherwise, to
- ----
register for sale any of its securities.

          5.22 Previous Issuances Exempt.  Except as set forth on Schedule 5.22,
               -------------------------                          -------------
all shares of capital stock and other securities issued by the Company prior to
the Closing Date have been issued in transactions exempt from the registration
requirements under the Securities Act and all applicable state securities or
"blue sky" laws, and in compliance with all applicable corporate laws. The
Company has not violated the Securities Act or any applicable state securities
or "blue sky" laws in connection with the issuance of any shares of capital
stock or other securities prior to the Closing Date. The Company has not offered
any of its capital stock, or any other securities, for sale to, or solicited any
offers to buy any of the foregoing from the Company, or otherwise approached or
negotiated with any other person in respect thereof, in such a manner as to
require registration under the Securities Act.  No holder of any of the
Company's capital stock has any rescission or pre-emptive rights.

          5.23 No Integrated Offering.  Neither the Company, nor any of its
               ----------------------
Affiliates or any other person acting on the Company's behalf, has directly or
indirectly made any offers or sales of any security or solicited any offers to
buy any security under circumstances that would require registration of the
Securities under the Securities Act or cause this offering of Securities to be
integrated with any prior offering of securities of the Company for purposes of
the Securities Act or any applicable stockholder approval provisions, including,
without limitation, NASD Rule 4460(i) or any similar rule.

                                      -16-
<PAGE>

          5.24 Acknowledgment Regarding Securities.  The Company's executive
               -----------------------------------
officers have studied and fully understand the nature of the Securities being
sold hereunder. The Company acknowledges that its obligation to issue Conversion
Shares upon conversion of the Preferred Shares and Warrant Shares upon exercise
of the Warrants, to exchange the Series B Preferred Shares for Series A
Preferred Shares, the Series 1-B Warrants for Series 1-A Warrants and the Series
2-B Warrants for 2-A Warrants, and to redeem the Series B Preferred Shares and
the Series 1-B Warrants under certain circumstances with the Escrow Account
under the Escrow Agreement, in accordance with the terms of this Agreement, the
Escrow Agreement, the Certificates of Designation, and the Warrants, is absolute
and unconditional, regardless of the dilution that such issuance may have on the
ownership interests of other stockholders of the Company.  Taking the foregoing
into account, the Company's Board of Directors has determined in its good faith
business judgment that the issuance of the Preferred Shares and the Warrants
hereunder and the consummation of the other transactions contemplated hereby are
(a) in the best interests of the Company and its stockholders, and (b) do not
breach (with or without the passage of time or the giving of notice) any
obligations of the Company or any Subsidiary the result of which would have a
Material Adverse Effect.  The Company's Board of Directors has approved the
terms of this Agreement, the Escrow Agreement, the Certificates of Designation
and the Warrants and the transactions contemplated hereby and thereby.  Schedule
                                                                        --------
5.24 sets forth any adjustments, Encumbrances or rights (other than pursuant to
- ----
the Escrow Agreement) that would be triggered by the issuance of the Securities
pursuant to agreements between the Company or any Subsidiary and any lender or
holder of an equity interest or other securities of the Company or any
Subsidiary.

          5.25 Year 2000.  To the Company's knowledge:
               ---------

          (a)  Except as set forth on Schedule 5.25, each system of the Company
                                      -------------
and each Subsidiary, including, without limitation, software, hardware,
databases or embedded control systems (microprocessor controlled, robotic or
other device), that constitutes any part of, or is used in connection with the
use, operation or enjoyment of, any material tangible or intangible asset or
property of the Company or any Subsidiary (collectively a "System"), (a) has, to
                                                           ------
the extent determined to be necessary, been modified to operate after January 1,
2000 without error arising from the creation, recognition, acceptance,
calculation, display, storage, retrieval, accessing, comparison, sorting,
manipulation, processing or other use of dates or date-based, date-dependent or
date-related data, including, but not limited to, century recognition, day-of-
the-week recognition, leap years, date values and interfaces of date
functionalities and (b) will not be materially adversely affected by the advent
of the year 2000, the advent of the twenty-first century or the transition from
the twentieth century through the year 2000 and into the twenty-first century
(collectively, items (a) and (b) are referred to herein as "Year 2000
                                                            ---------
Compliant");

          (b)  Except as set forth on Schedule 5.25, all Systems developed and
                                      -------------
sold by the Company and the Subsidiaries are Year 2000 Compliant and will be
able to accurately process date data (including, but not limited to,
calculating, comparing and sequencing) from, into and between the twentieth
century (through 1999), the year 2000 and the twenty-first century,

                                      -17-
<PAGE>

including, without limitation, leap year calculations, when used in accordance
with the product documentation accompanying such systems;

          (c)  Neither the Company nor any Subsidiary has received notice, or
otherwise has any reason to believe, given the extent of the Company's
investigation to date, that any System that is used in the business of the
Company or any of the Subsidiaries receives data from or communicates with any
component or system external to itself (whether or not such external component
or system is the Company's or any Subsidiary's) that is not itself Year 2000
Compliant. All licenses for the use of any System permit the Company and each
Subsidiary or a third party to make all modifications, by-passes, de-bugging,
work-arounds, repairs, replacements, conversions or corrections necessary to
permit the System to operate compatibly in conformance with their respective
specifications, and to be Year 2000 Compliant;

          (d)  Except as set forth on Schedule 5.25, neither the Company nor any
                                      -------------
Subsidiary has any reason to believe that it may incur material expenses arising
from or relating to the failure of any of its Systems as a result of not being
Year 2000 Compliant; and

          (e)  Except as set forth on Schedule 5.25, the Company and the
                                      -------------
Subsidiaries have requested and received written assurances from each third
party whose systems failure would have a Material Adverse Effect that such
systems are Year 2000 Compliant.

          5.26 Insurance.  The Company and each Subsidiary has in force fire,
               ---------
casualty, product liability and other insurance policies, with extended
coverage, sufficient in amount to allow it to replace any of its material
properties or assets which might be damaged or destroyed or sufficient to cover
liabilities to which the Company or any Subsidiary may reasonably become
subject, and such types and amounts of other insurance with respect to its
business and properties, on both a per occurrence and an aggregate basis, as are
customarily carried by persons engaged in the same or similar business as the
Company and its Subsidiaries.  The Company has a directors' and officers'
liability insurance policy that is in full force and effect with extended
coverage sufficient in amount to cover liabilities to which its directors and
officers may be subject by virtue of their positions and as is customarily
carried by companies engaged in the same or similar business as the Company.
Schedule 5.26 sets forth a list of all insurance policies currently in effect
- -------------
that insure the business, operations, assets, directors, officers or employees
of the Company and the Subsidiaries, the name of the carrier and the terms and
amount of coverage.  No default or event has occurred that could give rise to a
default under any such policy.

          5.27 Environmental Matters.  There is no environmental litigation or
               ---------------------
other environmental proceeding pending or, to the knowledge of the Company,
threatened by any governmental regulatory authority or others with respect to
the current or any former business of the Company or any Subsidiary or of any
partnership or joint venture currently or at any time affiliated with the
Company or any Subsidiary.  To the knowledge of the Company, no state of facts
exists as to environmental matters or Hazardous Substances (as defined below)
that involves the reasonable likelihood of a material capital expenditure by the
Company or any Subsidiary or

                                      -18-
<PAGE>

that may otherwise have a Material Adverse Effect. To the knowledge of the
Company, no Hazardous Substances have been treated, stored or disposed of, or
otherwise deposited, in or on the properties owned or leased by the Company or
any Subsidiary or by any partnership or joint venture currently or at any time
affiliated with the Company or any Subsidiary in violation of any applicable
environmental laws. As used herein, "Hazardous Substances" means any substance,
                                     --------------------
waste, contaminant, pollutant or material that has property or the environment.

          5.28 Exchange Agreements.  The execution, delivery and performance by
               -------------------
the Company and Rare Medium, Inc. of the Exchange Agreements, dated as of
December 31, 1998, by and between the Company and the other signatories thereto,
and the consummation of the transactions contemplated thereby by the Company,
Rare Medium, Inc. and certain of the holders of the $22,200,000 principal amount
of Secured Promissory Notes referred to therein (the "Rare Medium Note") do not
                                                      ----------------
constitute a default (or an event which with notice or lapse of time or both
would become a default) under, or give to others any rights of termination,
amendment, acceleration, rescission or cancellation of, any agreement, indenture
or instrument to which the Company or any Subsidiary is a party, the result of
which would be a Material Adverse Effect.

          5.29 Rare Medium Note Holders.  No event or circumstance relating to
               ------------------------
the Company's relationship with any of the holders of the Rare Medium Note,
including, without limitation, William Nelson, Robert Stratton and James Casey,
who were founders of Rare Medium, Inc. and are current employees of the Company,
including, without limitation, the event of default called by one or more of
such individuals on January 27, 1999, will result in a Material Adverse Effect.

          5.30 Employee Relations.  (a)  The Company and its Subsidiaries have
               ------------------
entered into individualized written employment agreements with the key executive
officers or employees of the Company and its Subsidiaries listed on Schedule
                                                                    --------
5.30(a), true and complete copies of which have been delivered to Purchaser.  To
- -------
the knowledge of the Company, no employee of or consultant to the Company or any
Subsidiary is in violation of any term of any employment contract or any other
contract or agreement relating to the relationship of any such employee or
consultant with the Company or any Subsidiary.  Except as set forth Schedule
                                                                    --------
5.30(a), the Company and each Subsidiary has operated and administered all
- -------
plans, programs and arrangements providing compensation and benefits to
employees in accordance with their terms and with all applicable laws.  To the
Company's knowledge, no key employee has any plans to terminate his or her
employment with the Company or any Subsidiary, nor does the Company or any
Subsidiary have any present intention to terminate the employment of any key
employee.

          (b)  The Company and its Subsidiaries are not delinquent in payments
to any of their employees, for any wages, salaries, commissions, bonuses or
other direct compensation for any services performed through the date hereof or
amounts required to be reimbursed to them to the date hereof. The Company and it
Subsidiaries are in compliance with all applicable federal, state and local
laws, rules and regulations respecting employment, employment practices, labor,

                                      -19-
<PAGE>

terms and conditions of employment and wages and hours, except for either
immaterial instances of noncompliance or instances of noncompliance of which the
Company is unaware which may be reasonably cured without the incurrence by the
Company or the Subsidiary of any material cost or liability. Neither the Company
nor any Subsidiary is bound by or subject to (and none of its assets or
properties is bound by or subject to) any written or oral, express or implied,
commitment or arrangement with any labor union, and, to the knowledge of the
Company, no labor union has requested or has sought to represent any of the
employees, representatives or agents of the Company or any Subsidiary. There is
no labor strike, dispute, slowdown or stoppage actually pending or, to the
knowledge of the Company, threatened against or involving the Company or any
Subsidiary.

          (c)  All bonus, deferred compensation, pension, retirement, profit-
sharing, thrift, savings, employee stock ownership, stock bonus, stock purchase,
restricted stock and stock option plans, employment or severance contracts,
health and medical insurance plans, life insurance and disability insurance
plans, other material employee benefit plans, contracts or arrangements which
cover employees or former employees of the Company or the Subsidiaries
including, but not limited to, "employee benefit plans" within the meaning of
Section 3(3) of ERISA (the "Employee Benefit Plans"), are listed on Schedule
                            ----------------------                  --------
5.30(c).  No Employee Benefit Plan are or were collectively bargained for or has
- ------
terms requiring assumption or any guarantee by the Purchaser.

          (d)  There have been no violations of ERISA or the Code that could
reasonably be expected to have a Material Adverse Effect relating to any
Employee Benefit Plan.  The Company has timely filed all documents, notes and
reports (including IRS Form 5500) for each such Employee Benefit Plan with all
applicable Governmental Authorities and has timely furnished all required
documents to the participants or beneficiaries of each such Employee Benefit
Plans.

          5.31 Related Party Transactions.  Except as disclosed on Schedule
               --------------------------                          --------
5.31, no director, officer or Affiliate of the Company or any of the
- ----
Subsidiaries (including, without limitation, spouses, children and relatives of
any of the foregoing) has been a party to any transaction, arrangement or
agreement with the Company or any Subsidiary providing for the furnishing of
services by or to or rental of real or personal property from or to, or
otherwise requiring payments to or by any such person.  No director or executive
officer is the direct or indirect owner of a controlling interest in any
business organization that is a competitor, a supplier or a customer of the
Company or any Subsidiary.

          5.32 Acknowledgment Regarding the Purchaser's Purchase of the
               --------------------------------------------------------
Securities. The Company acknowledges and agrees that the Purchaser is not acting
- ----------
as a financial advisor or fiduciary of the Company (or in any similar capacity)
with respect to this Agreement or the transactions contemplated hereby, and the
relationship between the Company and the Purchaser is "arms length" and that,
except for the representations and warranties and covenants of the Purchaser
under this Agreement, any statement made by the Purchaser or any of its
representatives or agents in connection with this Agreement and the transactions
contemplated

                                      -20-
<PAGE>

hereby is not advice or a recommendation and is merely incidental to the
Purchaser's purchase of Securities and has not been relied upon by the Company,
its officers or directors in any way. The Company further represents to the
Purchaser that the Company's decision to enter into this Agreement has been
based solely on an independent evaluation by the Company and its
representatives.

          5.33  Corporate Minute Books.  The corporate records of the Company
                ----------------------
and each Subsidiary are correct and complete in all material respects.

          5.34  Disclosure.  (a)  All information relating to or concerning the
                ----------
Company and the Subsidiaries set forth in this Agreement, including, without
limitation, in the Schedules hereto, or provided to the Purchaser and otherwise
in connection with the transactions contemplated hereby is true and correct in
all material respects and the Company has not omitted to state any material fact
necessary in order to make the statements made herein or therein, in light of
the circumstances under which they were made, not misleading. No event or
circumstance has occurred or exists with respect to the Company or any
Subsidiary or their respective businesses, properties, operations or financial
conditions, which has not been publicly disclosed or which has not been
disclosed to the Purchaser but, under applicable law, rule or regulation, would
be required to be disclosed by the Company in a registration statement filed on
the date hereof by the Company under the Securities Act with respect to an
issuance of the Company's securities.

          (b)  None of the information supplied or to be supplied by the Company
specifically for inclusion or incorporation by reference in any documents to be
filed by the Company with the SEC or any other Governmental Entity in connection
with the issue of the Securities hereunder and the other transactions
contemplated hereby and under the Transaction Documents will, on the date of its
filing, or, with respect to the Proxy Statement (as hereinafter defined), as
supplemented if necessary, on the date it is sent or given to stockholders or at
the time of the annual meeting of stockholders, contain any untrue statement of
a material fact or omit to state any material fact required to be stated therein
or necessary in order to make the statements therein, in light of the
circumstances under which they are made, not misleading; provided, that no
                                                         --------
representation or warranty is made by the Company with respect to statements
made or incorporated by reference therein based on information supplied by the
Purchaser specifically for inclusion or incorporation by reference therein.  The
Proxy Statement and any such other documents filed by the Company with the SEC
or with any other Governmental Entity will comply as to form in all material
respects with the requirements of the Exchange Act and the rules and regulations
thereunder.

          5.35  Fresh Air Solutions Liabilities.  Except as disclosed on
                -------------------------------
Schedule 5.35, to the knowledge of the Company, there are no liabilities,
- -------------
contingent or otherwise, for which the Company is or may be responsible that
arose out of its position as General Partner and owner of Fresh Air Solutions,
L.P., and its predecessors, or that arise out of the Company's current limited
partnership interest in Fresh Air Solutions, L.P.

                                      -21-
<PAGE>

          6.   Conditions of Parties' Obligations.
               ----------------------------------

          6.1  Conditions of the Purchaser's Obligations.  The obligations of
               -----------------------------------------
the Purchaser under Section 2 hereof are subject to the fulfillment prior to or
on the Closing Date of all of the following conditions, any of which may be
waived in whole or in part by the Purchaser.

          (a)  Representations and Warranties Correct.  The representations and
               --------------------------------------
warranties of the Company under this Agreement shall in all material respects be
true on and as of the date hereof and on the Closing Date with the same force
and effect as if they had been made on the Closing Date.

          (b)  Compliance with Agreement.  The Company shall have performed and
               -------------------------
complied in all material respects with all agreements and conditions required by
this Agreement to be performed or complied with by it on or before the Closing
Date and, except for stockholder approval (which is governed by Section 7.11
hereof), shall have obtained all consents and approvals required for the
consummation of the transactions contemplated hereby.

          (c)  Certificate of Officer.  The Company shall have delivered to the
               ----------------------
Purchaser a certificate dated the Closing Date, executed by its Chief Executive
Officer, certifying the satisfaction of the conditions specified in paragraphs
(a) and (b) of this Section 6.1.

          (d)  Opinion of the Company's Counsel.  The Purchaser shall have
               --------------------------------
received from Mesirov Gelman Jaffe Cramer & Jamieson, LLP, counsel for the
Company, a favorable opinion dated the Closing Date substantially in the form of
Annex 6.1(d) hereto.
- ------------

          (e)  Certificates of Designation.  The Certificates of Designation
               ---------------------------
shall have been filed with the Secretary of State of the State of Delaware, and
counsel for the Purchaser, Sidley & Austin, shall have received confirmation
reasonably satisfactory to it that such filing has occurred.

          (f)  Capital Ventures Transaction.  On or prior to the Closing, the
               ----------------------------
Company and Capital Ventures International ("CVI"), the holder of $6,000,000
                                             ---
principal amount of the Company's Convertible Term Debentures and a Warrant to
acquire a number of shares of Common Stock issued pursuant to the Securities
Purchase Agreement dated as of January 28, 1999 between ICC Technologies, Inc.
and CVI, shall have concluded the transactions contemplated by the Agreement
dated as of May 28, 1999 between the Company (the "CVI Agreement").  Pursuant to
                                                   -------------
the CVI Agreement, CVI's Debentures and Warrants will be cancelled in exchange
for, or converted into or exercised for, 1,588,462 shares of Common Stock.

          (g)  Qualification Under State Securities Laws.  All registrations,
               -----------------------------------------
qualifications, permits and approvals required under applicable state securities
laws shall have been obtained for the lawful execution, delivery and performance
of this Agreement, including without limitation the offer and sale of the
Securities.

                                      -22-
<PAGE>

          (h)  Supporting Documents.  The Purchaser shall have received the
               --------------------
following:

               (i)    Copies of resolutions of the Board of Directors of the
     Company, certified by the Secretary of the Company, authorizing and
     approving the filing of the Certificates of Designation, the execution,
     delivery and performance of this Agreement, the Escrow Agreement, the other
     Transaction Documents and all other documents and instruments to be
     delivered pursuant hereto and thereto;

               (ii)   A certificate of incumbency executed by the Secretary of
     the Company (A) certifying the names, titles and signatures of the officers
     authorized to execute the documents referred to in subparagraph (i) above
     and (B) further certifying that the Certificate of Incorporation and By-
     laws of the Company delivered to the Purchaser at the time of the execution
     of this Agreement have been validly adopted and have not been amended or
     modified, except to the extent provided in the Certificates of Designation;
     and

               (iii)  Such additional supporting documentation and other
     information with respect to the transactions contemplated by this Agreement
     as the Purchaser or its counsel, Sidley & Austin, may reasonably request.

          (i)  Composition of Board.  On the Closing Date, the Company's Board
               --------------------
of Directors shall be composed of Glenn S. Meyers, Jeffrey Killeen, Richard
Liebhaber, Steven Winograd, Andrew D. Africk and Marc Rowan.

          (j)  Fee.  The Purchaser or its designees shall have received from the
               ---
Company a fee equal to one percent (1%) of the Purchase Price, which may be paid
out of the Purchase Price.

          (k)  NASDAQ.  The Company shall have received from NASD, and delivered
               ------
to the Purchaser, written advice that such body does not object to the
transactions described herein and that, upon the obtaining of an approving vote
of stockholders (as described in Section 7.11 below), the Company's Common Stock
will continue to be eligible for listing on the Nasdaq National Market.

          (l)  Escrow Agreement.  The Escrow Agreement shall have been duly
               ----------------
executed and delivered by the Company and the Escrow Agent.

          (m)  No Material Adverse Change.  There shall have been no material
               --------------------------
adverse change in the business, properties, assets or condition (financial or
otherwise) of the Company from and after the date of this Agreement, except for
any such changes that are the effect or result of economic factors generally
affecting the economy as a whole.

          (n)  Consents and Waivers.  The Company shall have obtained all
               --------------------
consents or waivers necessary to execute and perform its obligations under this
Agreement, the Escrow

                                      -23-
<PAGE>

Agreement and the other Transaction Documents and documents contemplated herein,
to issue the Preferred Shares, the Conversion Shares, the Warrants and the
Warrant Shares, and to carry out the transactions contemplated hereby and
thereby. All corporate and other action (other than stockholder approval) and
governmental filings necessary to effectuate the terms of this Agreement, the
Escrow Agreement, the other Transaction Documents, the Preferred Shares, the
Conversion Shares, the Warrants and the Warrant Shares, and other agreements and
instruments executed and delivered by the Company in connection herewith shall
have been made or taken.

          (o)  Employment Agreement.  The employment agreement of the Company's
               --------------------
Chairman, CEO and President shall have been amended to implement the revised
terms previously agreed with the Apollo Purchasers.

          6.2  Conditions of Company's Obligations.  The Company's obligations
               -----------------------------------
under Section 2 hereof are subject to the fulfillment prior to or on the Closing
Date of the following conditions, any of which may be waived in whole or in part
by the Company.

          (a)  Representations and Warranties Correct.  The representations and
               --------------------------------------
warranties of the Purchaser under this Agreement shall in all material respects
be true on and as of the date hereof and on the Closing Date with the same force
and effect as if they had been made on the Closing Date.

          (b)  Compliance with Agreement.  The Purchaser shall have performed
               -------------------------
and complied in all material respects with all agreements and conditions
required by this Agreement to be performed or complied with by it on or before
the Closing Date and shall have obtained all governmental consents and approvals
required for the consummation of the transactions contemplated thereby.

          (c)  Certificate of the Purchaser.  The general partner of the
               ----------------------------
Purchaser shall have provided to the Company a certificate dated such closing
date executed by a duly authorized officer thereof certifying a copy of the
resolutions of the general partner approving this Agreement and the Transaction
Documents, the satisfaction of the conditions specified in paragraphs (a) and
(b) of this Section 6.2 and the names, titles and signatures of the persons
authorized to execute this Agreement and the Transaction Documents to which the
Purchaser is a party, and all other documents and instruments to be delivered
pursuant hereto and thereto.

          (d)  Opinion of the Purchaser's Counsel.  The Company shall have
               ----------------------------------
received from Sidley & Austin, counsel for the Purchaser, a favorable opinion
dated the Closing Date substantially in the form of Annex 6.2(d) hereto.
                                                    ------------

          (e)  Operating Agreement.  The Company shall have received a copy of
              -------------------
the operating agreement for the LLC, which shall be reasonably acceptable to the
Company.

                                      -24-
<PAGE>

          (f)  Payment. The Company shall have received from the Apollo
               -------
Purchasers $50,000,000 of the Purchase Price.

          6.3  Conditions of Each Party's Obligations.  The respective
               --------------------------------------
obligations of each party to consummate the transactions contemplated hereunder
are subject to the fulfillment prior to or on the Closing Date of all of the
following conditions:

          (a)  Absence of Litigation.  The parties shall be satisfied as to the
               ---------------------
absence of litigation challenging or seeking damages in connection with the
transactions contemplated by this Agreement or by the Transaction Documents.

          (b)  HSR Act.  The waiting period applicable to the consummation of
               -------
the transactions contemplated by this Agreement under the HSR Act shall have
expired or been terminated.

          7.   Covenants.  The Company agrees that until the termination of this
               ---------
Agreement pursuant to Section 12.3 below, the Company (and each of its
Subsidiaries unless the context otherwise requires) will do the following:

          7.1  Maintain Corporate Rights and Facilities.  Maintain and preserve
               ----------------------------------------
its corporate existence and all rights, franchises, licenses, trademarks,
service marks, trade names, copyrights and other authority reasonably deemed
adequate by the Company for the conduct of its business; maintain its
properties, equipment and facilities in good order and repair; and conduct its
business in an orderly manner without voluntary interruption.

          7.2  Maintain Insurance.  Maintain in full force and effect a policy
               ------------------
or policies of insurance issued by insurers of recognized responsibility,
insuring it and its properties and business against such losses and risks, and
in such amounts, as are customary in the case of corporations of established
reputation engaged in the same or a similar business.

          7.3  Information Rights.
               ------------------

          (a)  Access to Records.
               -----------------

          The Company shall, and shall cause each subsidiary to, afford to the
Purchaser, the affiliates of the Purchaser and each of their respective
officers, employees, advisors, counsel and other authorized representatives
(collectively with the affiliates of the Purchaser, the "Representatives"),
                                                         ---------------
during normal business hours, reasonable access, upon reasonable advance notice,
to all of the books, records and properties of the Company and such Subsidiary
and all officers and employees of the Company and such Subsidiary. The Purchaser
shall maintain the confidentiality of any confidential and proprietary
information regarding the Company and its Subsidiaries; provided, however, that
                                                        --------  -------
the foregoing shall in no way limit or otherwise restrict the ability of the
Purchaser or any of its Representatives to disclose any such information
concerning

                                      -25-
<PAGE>

the Company and each Subsidiary which it may be required to disclose (i) to its
partners or limited partner to the extent required to satisfy its fiduciary
obligations to such Persons, or (ii) otherwise pursuant to or as required by
law.

          (b)  Financial Reports.
               -----------------

          For so long as the Apollo Purchasers beneficially own not less than
100,000 Series A Preferred Shares, the Company shall furnish to the Purchaser
the following:

               (i)    Monthly Reports.  As soon as available, but not later
                      ---------------
     than 30 days after the end of each fiscal month beginning with the report
     for the month of July 1999, a consolidated balance sheet of the Company as
     of the end of such period and consolidated statements of income of the
     Company for such period and for the period commencing at the end of the
     previous fiscal year and ending with the end of such period, setting forth
     in each case in comparative form the corresponding figures for the
     corresponding period of the preceding fiscal year, and including
     comparisons to the budget or business plan and an analysis of the variances
     from the budget or plan, all prepared in accordance with generally accepted
     accounting principals consistently applied (except for the absence of
     footnotes, and quarter-end and year-end adjustments).

               (ii)   Quarterly Reports.  As soon as available, but not later
                      -----------------
     than 45 days after the end of each quarterly accounting period, (A) a
     consolidated balance sheet of the Company as of the end of such period and
     consolidated statements of income, cash flows and changes in stockholders'
     equity for such quarterly accounting period and for the period commencing
     at the end of the previous fiscal year and ending with the end of such
     period, setting forth in each case in comparative form the corresponding
     figures for the corresponding period of the preceding fiscal year, and
     including comparisons to the budget or business plan and an analysis of the
     variances from the budget or plan, all prepared in accordance with
     generally accepted accounting principals consistently applied, subject to
     normal year-end adjustments and the absence of footnote disclosure, and (B)
     a report by management of the Company of the operating and financial
     highlights of the Company and its Subsidiaries for such period, which shall
     include (x) a comparison between operating and financial results and budget
     and (y) an analysis of the operations of the Company and its Subsidiaries
     for such period.

               (iii)  Annual Audit.  As soon as available, but not later than 90
                      ------------
     days after the end of each fiscal year of the Company, audited consolidated
     financial statements of the Company, which shall include statements of
     income, cash flows and changes in stockholders' equity for such fiscal year
     and a balance sheet as of the last day thereof, each prepared in accordance
     with generally accepted accounting principles, consistently applied, and
     accompanied by the report of a "Big 5" firm of independent certified public
     accountants selected by the Company's Board of Directors (the
     "Accountants"). The
      -----------

                                      -26-
<PAGE>

     Company and its Subsidiaries shall maintain a system of accounting
     sufficient to enable its Accountants to render the report referred to in
     this Section 7.3(b)(iii).

               (iv)   Miscellaneous.  Promptly upon becoming available, each of
                      -------------
     the following:

               (A)    copies of all financial statements, reports, press
     releases, notices, proxy statements and other documents sent by the Company
     or its Subsidiaries to its stockholders generally or released to the public
     and copies of all regular and periodic reports, if any, filed by the
     Company or its Subsidiaries with the SEC, any securities exchange or the
     NASD;

               (B)    notification in writing of the existence of any default
     under any material agreement or instrument to which the Company or any of
     its Subsidiaries is a party or by which any of their assets are bound;

               (C)    upon request, copies of all reports prepared for or
     delivered to the management of the Company or its Subsidiaries by its
     accountants; and

               (D)    upon request, any other routinely collected financial or
     other information available to management of the Company or its
     Subsidiaries (including, without limitation, routinely collected
     statistical data).

          (c)  Other Investors.  Without duplication of any document or
               ---------------
information provided pursuant to this Section 7.3, the Company shall provide to
the Holders the following:

               (i)    as soon as available, but not later than 45 days after the
     end of each quarterly accounting period, a Form 10-Q or, if the Company
     does not then file quarterly reports with the SEC, the documents referred
     to in Section 7.3(b)(ii).

               (ii)   as soon as available, but not later than 90 days after the
     end of each fiscal year, a Form 10-K or, if the Company does not then file
     annual reports with the SEC, the audited consolidated financial statements
     referred to in Section 7.3(b)(iii).

               (iii)  simultaneously with any distribution of any document to
     the stockholders of the Company generally, any such document so
     distributed.

          7.4  Notice of Litigation, Disputes and Adverse Changes. Promptly
               --------------------------------------------------
notify the Purchaser of (i) each legal action, suit, arbitration or other
administrative or governmental investigation or proceeding (whether federal,
state, local or foreign) instituted or, to the Company's knowledge, threatened
against the Company (or of any occurrence or dispute which involves a reasonable
likelihood of any such action, suit, arbitration, investigation or proceeding
being instituted), or (ii) any other occurrence or change of circumstance
relating to the Company

                                      -27-
<PAGE>

which, in either such case, could reasonably be expected to materially and
adversely affect the Company's condition (financial or otherwise), properties,
assets, liabilities, business or operations (except for any changes that are the
effect or result of economic factors generally affecting the economy as a
whole).

          7.5  Conduct of Business.  Conduct its business in accordance with all
               -------------------
applicable provisions of federal, state, local and foreign law.

          7.6  Compliance with Certificate of Incorporation and Bylaws.  Perform
               -------------------------------------------------------
and observe all of its obligations to the holders of all of its securities set
forth in the Company's Certificate of Incorporation and By-laws.

          7.7  Internal Accounting Controls.  Maintain a system of internal
               ----------------------------
accounting controls administered in accordance with generally accepted
accounting principles.

          7.8  Indemnification of the Board of Directors.  Reimburse all
               -----------------------------------------
directors of the Company for their reasonable out-of-pocket expenses in
connection with attending meetings of the Company's Board of Directors and all
committees thereof and all reasonable out-of-pocket expenses otherwise incurred
in fulfilling their duties as directors. The Company's By-Laws or charter shall
at all times require the indemnification of all of the Company's directors
against liability for actions and omissions to act in their capacity as
directors of the Company to the maximum extent that such individuals may
lawfully be so indemnified by the Company.

          7.9  Use of Proceeds.  The Company will use the proceeds from the sale
               ---------------
of the Securities (including any such proceeds after they are released to the
Company under the Escrow Agreement) to provide investment and acquisition
capital, to repay indebtedness and for general corporate purposes.

          7.10 Reservation of Common Stock.  The Company shall reserve and keep
               ---------------------------
available out of its authorized but unissued Common Stock or Non-Voting Common
Stock (if any), as applicable, the number of shares required for issuance upon
the conversion of all of the Preferred Shares and exercise of the Warrants
(including any additional shares which may become so issuable by reason of the
operation of anti-dilution provisions of the Certificates of Designation and the
Warrants).

          7.11 Advice of Changes; Filings; Proxy.  (a)  The Company shall confer
               ---------------------------------
with the Purchaser on a regular and frequent basis as reasonably requested by
the Purchaser, orally and, if requested by the Purchaser, in writing, with
regard to any change that has had a Material Adverse Effect with respect to the
Company or its Affiliates. The Company shall promptly provide to the Purchaser
(or its counsel) copies of all filings made by the Company or any Affiliate with
any Governmental Entity in connection with this Agreement and the transactions
contemplated hereby.

                                      -28-
<PAGE>

          (b)  The Company will, as soon as practicable following the date
hereof, duly call, give notice of, convene and hold a meeting of its
stockholders (the "Stockholders Meeting") for the purpose of obtaining approval
                   --------------------
for (A) the conversion of (i) Series B Preferred Shares into Series A Preferred
Shares, (ii) Series 1-B Warrants into Series 1-A Warrants, (iii) Series 2-B
Warrants into Series 2-A Warrants and (iv) the creation of the Non-Voting Common
Stock, and (B) more generally, if necessary, the approval of this Agreement, the
Escrow Agreement, the other Transaction Documents and the transactions
contemplated hereby and thereby. The Company will, through its Board of
Directors, recommend to its stockholders that stockholder approval be given and
the Company shall use its best efforts to cause each member of the Company's
Board of Directors to vote his shares of Common Stock to approve the items set
forth in clauses (A) and (B) of this paragraph (b).

          (c)  The Company will, as soon as practicable following the date
hereof, prepare and file a preliminary proxy or information statement (as
amended, modified or supplemented, the "Proxy Statement") with the SEC and will
                                        ---------------
use its best efforts to respond to any comments of the SEC or its staff and to
cause the Proxy Statement to be mailed to its stockholders as promptly as
practicable after responding to all such comments to the satisfaction of the SEC
staff. The Company will afford the Purchaser and its counsel an opportunity to
review and comment upon any description of the Purchaser or its Affiliates, this
Agreement, the Escrow Agreement, the other Transaction Documents or the
transactions contemplated hereby and thereby set forth in the Proxy Statement
(including all drafts or amendments thereto). The Purchaser shall provide the
Company with all necessary information reasonably requested with respect to
itself and its Affiliates solely for inclusion by the Company in the Proxy
Statement. The Company will notify the Purchaser promptly of the receipt of any
comments from the SEC or its staff and of any request by the SEC or its staff
for amendments or supplements to the Proxy Statement or for additional
information and will supply the Purchaser with copies of all correspondence
between the Company or any of its representatives, on the one hand, and the SEC
or its staff, on the other hand, with respect to the Proxy Statement. If at any
time prior to the Stockholders Meeting there shall occur any event that would be
required, under the Exchange Act and the rules and regulations thereunder, to be
set forth in an amendment or supplement to the Proxy Statement, the Company will
promptly prepare and mail to its stockholders such an amendment or supplement.

          7.12 Future Offerings.  From the Closing Date through June 30, 2004,
               ----------------
in connection with any offering or distribution to securityholders of the
Company of rights to subscribe for or otherwise acquire shares of Common Stock
(or securities exercisable or convertible for shares of Common Stock) or to
acquire any asset of the Company, the Company shall provide the Apollo
Purchasers the right to acquire any unsubscribed rights in any such offering or
distribution.

          8.   Negative Covenants.  The Company agrees that until the
               ------------------
termination of this Agreement pursuant to Section 12.3 below, the Company (and
each of its Subsidiaries unless the

                                      -29-
<PAGE>

context otherwise requires) will not, without the consent of the Purchaser, do
any of the following, except as specifically provided in this Agreement or the
Transaction Documents:

          8.1  No Solicitation.  (a)  From the date hereof through the Closing
               ---------------
Date, the Company shall and shall cause each Subsidiary and its Subsidiaries'
officers and directors to, and each of the foregoing shall cause their
respective agents, representatives, advisors or subsidiaries, to cease any
discussions or negotiations with any parties (other than the Purchaser) that may
be ongoing with respect to (A) any acquisition or purchase of assets of the
Company and its Subsidiaries other than in the ordinary course of business
consistent with past practice, (B) the purchase of any equity security of the
Company or any Subsidiary (including a self tender offer) or any security that
is convertible, exchangeable or exercisable for any equity security, (C) any
merger, consolidation, business combination, sale of substantially all assets,
recapitalization, liquidation, dissolution or similar transaction involving the
Company or any Subsidiary (other than a Permitted Acquisition), or (D) any other
transaction the consummation of which would, or could reasonably be expected to,
impede, interfere with, prevent or materially delay the transactions
contemplated by this Agreement or which would, or could reasonably be expected
to, materially dilute the benefits to the Purchaser of the transactions
contemplated hereby (each of the foregoing items set forth in (A) through (D),
an "Alternative Transaction"). From the date hereof through the Closing Date,
    -----------------------
the Company shall not, shall cause each Affiliate not to and shall not authorize
or permit any of its or any such Person's officers, directors or employees or
any investment banker, financial advisor, attorney, accountant or other
representative representing any such Person to, directly or indirectly, (i)
solicit, initiate or encourage (including by way of furnishing information), or
take any other action to facilitate, any inquiries or the making of any proposal
that may lead to an Alternative Transaction or (ii) participate in any
discussions or negotiations with any third party regarding any proposed
Alternative Transaction.

          (b)  From the date hereof through the Closing Date, neither the Board
of Directors of the Company nor any committee thereof shall (i) withdraw or
modify the approval or recommendation by such Board of Directors or such
committee of this Agreement, the Transaction Documents or any of the
transactions contemplated hereby or thereby, (ii) approve or recommend any
Alternative Transaction or (iii) cause or permit the Company or any Affiliate to
enter to any letter of intent, agreement in principle or other agreement with
respect to an Alternative Transaction.

          (c)  In addition to the obligations of the Company set forth in
paragraphs (a) and (b) of this Section 8.1, the Company shall promptly advise
the Purchaser orally and in writing of any request for information or of any
proposal or any inquiry regarding any Alternative Transaction, the material
terms and conditions of such request, proposal or inquiry and the identity of
the Person making such request, proposal or inquiry.  The Company will keep the
Purchaser fully informed of the status and details (including amendments or
proposed amendments) of any such request, proposal or inquiry.

                                      -30-
<PAGE>

          8.2  Protective Provisions.  For so long as the Apollo Purchasers
               ---------------------
beneficially own not less than 100,000 Series A Preferred Shares, the Company
shall not, and shall not permit any Subsidiary to, without the prior written
consent of the Apollo Purchasers, which consent shall not be unreasonably
withheld:

          (a)  merge, consolidate, or amalgamate with any person or entity,
except in connection with any Permitted Acquisition;

          (b)  effect, approve or authorize any Liquidation of the Company or
any recapitalization or reorganization of the Company or any Subsidiary;

          (c)  directly or indirectly declare or pay any dividend or make any
other distribution in respect thereof, or directly or indirectly redeem or
repurchase any shares of capital stock of the Company, whether in cash or
property or in obligations of the Company or any Subsidiary; provided, however,
                                                             --------  -------
that the Company may declare or pay any dividend on, distribution upon or
redemption of the Preferred Shares and the Warrants, in accordance with their
terms and the provisions of this Agreement;

          (d)  agree to, or permit any Subsidiary to agree to, any provision in
any agreement that would impose any restriction on the ability of the Company to
honor the exercise of any rights of the holders of the Preferred Shares or the
Warrants;

          (e)  enter into any transaction, including, without limitation, any
purchase, sale, lease or exchange of property, the rendering of any service or
the payment of any management, advisory or similar fees, with any Affiliate
unless such transaction is (a) in the ordinary course of business of the Company
and its Subsidiaries, and (b) upon fair and reasonable terms no less favorable
to the Company and its Subsidiaries than they would obtain in a comparable arm's
length transaction with a Person which is not an Affiliate;

          (f)  materially alter or change the business of the Company or any
Subsidiary as it is currently conducted or planned to be conducted (including
related Internet ventures);

          (g)  hire or fire, or amend the employment terms of, the Chief
Executive Officer or the Chief Operating Officer of the Company;

          (h)  acquire or dispose of any business or assets in a single
transaction or a series of related transactions with an aggregate value in such
transaction or series of related transactions in excess of $2,500,000 (including
all assumed debt, all cash payments, and the fair market value of all securities
or other property issued as consideration);

          (i)  adopt any employee stock option plan or stock incentive plan, or
alter any of the Company's equity incentive plan for executive officers;

                                      -31-
<PAGE>

          (j)  take any of the actions described in Section 7(d)(x)(i)(B),
7(d)(x)(ii) or 7(d)(x)(iii) of the Certificate of Designation of Series A
Preferred Stock; or

          (k)  agree or otherwise commit to take any of the actions set forth
above.

          8.3  No Purchase by Apollo Purchasers. The Apollo Purchasers shall not
               --------------------------------
purchase shares of Common Stock (other than pursuant to the exercise of Warrants
or the conversion of Preferred Stock) that would have the effect of increasing
the voting power of the Apollo Purchasers to more than 50% of the total voting
power of the Common Stock, without the permission of the Company's Board of
Directors.

          9.   Registration Rights.
               -------------------

          9.1  Certain Definitions.  As used in this Article 9, the following
               -------------------
terms shall have the following respective meanings.

          "Holder" shall mean any Person that is the beneficial owner of
Preferred Shares, Warrants, Conversion Shares or Warrant Shares as a result of
the sale, assignment or other transfer of Securities originally issued to the
Purchaser or issuable or issued upon the conversion or exercise of any such
Securities.

          "Other Shares" means at any time those shares of Common Stock which do
not constitute Primary Shares or Purchaser Shares.

          "Primary Shares" means at any time the authorized but unissued shares
of Common Stock or shares of Common Stock held by the Company in its treasury.

          "Purchaser Shares" means at any time, without duplication, (i) the
Conversion Shares and Warrant Shares issuable upon conversion of Series A
Preferred Shares and exercise of the Series 1-A or Series 2-A Warrants and (ii)
the shares of Common Stock or Non-Voting Common Stock, as the case may be,
consisting of Conversion Shares and Warrant Shares, in each case beneficially
owned by the Purchaser or any Holder.  As to any particular Purchaser Shares,
once issued, such Purchaser Shares shall cease to be Purchaser Shares when (a) a
registration statement with respect to the sale by the Purchaser of such
securities shall have become effective under the Securities Act and such
securities shall have been disposed of in accordance with such registration
statement, (b) such securities shall have been distributed to the public
pursuant to Rule 144 (or any successor provision) under the Securities Act, (c)
such securities shall have been otherwise transferred, new certificates for such
securities not bearing a legend restricting further transfer shall have been
delivered by the Company and subsequent disposition of such securities shall not
require registration or qualification of such securities under the Securities
Act or any state securities or "blue sky" law then in force, or (d) such
securities shall have ceased to be outstanding.

                                      -32-
<PAGE>

          "Selling Investor" means the Purchaser or any Holder that sells or
proposes to sell Purchaser Shares pursuant to a registration statement
hereunder.

          "Selling Investors' Counsel" means counsel selected by the holders of
a majority of the Purchaser Shares to be sold pursuant to a particular
registration statement.

          9.2  Demand Registration.
               -------------------

          (a)  If the Company shall be requested in writing by the Purchaser, or
by Holders who beneficially own at least 7,000,000 Purchaser Shares, to effect a
registration under the Securities Act of Purchaser Shares in accordance with
this Section 9.2, then the Company shall promptly give written notice of such
proposed registration to the Purchaser and all Holders and shall offer to
include (subject to the terms of this Agreement) in such proposed registration
any Purchaser Shares requested to be included in such proposed registration by
such holders who respond in writing to the Company's notice within 15 days after
delivery of such notice (which response shall specify the number of Purchaser
Shares proposed to be included in such registration and the intended method of
distribution, which may be pursuant to a shelf registration).  Such written
registration request shall specify the approximate number of Purchaser Shares
requested to be registered and the anticipated per share price range for such
offering.  The Company shall promptly use its best efforts to effect such
registration on an appropriate form under the Securities Act of the Purchaser
Shares which the Company has been so requested to register; provided, however,
                                                            --------  -------
that the Company shall not be obligated to effect any registration under the
Securities Act except in accordance with the following provisions:

          (i)   the Company shall not be obligated to file a registration
     statement pursuant to this Section 9.2 prior to the first anniversary of
     the Closing Date unless (x) a Person other than the Purchaser or a Holder
     exercises a demand registration right (in which case the Company must
     immediately comply with any demand made hereunder) other than the
     registration rights referred to in Section 6.1(f) hereof or (y) executive
     officers (as such term is defined in Rule 3b-7 under the Exchange Act) of
     the Company shall have sold an aggregate of 850,000 or more shares of
     Common Stock from and after the Closing Date or (z) Glenn Meyers shall have
     sold an aggregate of 600,000 or more shares of Common Stock from after the
     Closing Date;

          (ii)  the Company shall not be obligated to file more than (a) three
     registration statements in total pursuant to this Section 9.2 plus (b) one
     additional registration statement registering all Purchaser Shares then
     owned by the Purchaser, subject to paragraph (c) below;

          (iii) the Company shall not be obligated to file or cause to be
     declared effective any registration statement during any period in which
     (A) any other registration statement (other than on Form S-4 or Form S-8
     promulgated under the Securities Act or any successor forms thereto)
     pursuant to which Primary Shares are to be or were sold has

                                      -33-
<PAGE>

     been filed and not withdrawn or has been declared effective within the
     prior 180 days, provided, that the Company shall use reasonable efforts to
                     --------
     achieve a shorter period or to have such restrictions released in less than
     180 days or (B) the Company has determined in good faith that the filing of
     a registration statement would require the disclosure of material
     information that the Company has a bona fide business purpose for
     preserving as confidential, such filing to be delayed until the date which
     is 90 days after such request for registration pursuant to this Section
     9.2; provided that the Company may only so delay the filing or
          --------
     effectiveness of a registration statement pursuant to this Section
     9.2(a)(iii)(B) on one occasion during any twelve month period;

          (iv)  with respect to the registration pursuant to this Section, the
     Company may include in such registration any Primary Shares or Other
     Shares; provided, however, that if the managing underwriter advises the
             --------  -------
     Company in writing that the inclusion of all Purchaser Shares, Primary
     Shares and Other Shares proposed to be included in such registration would
     adversely affect the successful marketing (including pricing) of all such
     securities, then the number of Purchaser Shares, Primary Shares and Other
     Shares proposed to be included in such registration shall be included in
     the following order:

               (A) First, the Purchaser Shares held by all Selling Investors,
                   -----
          pro rata based upon the number of Purchaser Shares owned by each such
          --- ----
          Selling Investor at the time of such registration;

               (B)  Second, the Primary Shares; and
                    ------

               (C)  Third, the Other Shares.
                    -----

          (b)  The Person requesting a registration pursuant to this Section
may, in the notice delivered pursuant to paragraph (a) above, elect that such
registration cover an underwritten offering. Upon such election, such Person
shall elect one or more nationally recognized firms of investment banks to act
as the managing underwriters and shall select any additional investment banks to
be used in connection with such offering, provided that such investment banks
must be reasonably satisfactory to the Company. The Company shall, together with
Selling Investors, if it proposes to sell Primary Shares in such offering, enter
into a customary underwriting agreement with such underwriters.

          (c)  A requested registration under this Section 9.2 may be rescinded
by written notice to the Company by the Selling Investors holding a majority of
the Purchaser Shares to be included in such registration under the following
circumstances:

               (A) If such registration statement is rescinded prior to the
          filing date, such rescinded registration shall not count as a
          registration statement initiated pursuant to this Section 9.2 for
          purposes of paragraph (a) above;

                                      -34-
<PAGE>

               (B) If such registration statement is rescinded after the filing
          date but prior to its effective date, such rescinded registration
          shall not count as a registration statement initiated pursuant to this
          Section 9.2 for purposes of paragraph (a) above if the Selling
          Investors (x) have reimbursed the Company for all out-of-pocket
          expenses incurred by the Company in connection with such rescinded
          registration or (y)(1) reasonably believed that the registration
          statement contained an untrue statement of material fact or omitted to
          state a material fact required to be stated therein or necessary to
          make the statements made therein not misleading, (2) notified the
          Company of such fact and requested that the Company correct such
          alleged misstatement or omission and (3) the Company has refused to
          correct such alleged misstatement or omission; and

               (C) A registration shall not count as a registration statement
          initiated pursuant to this Section for purposes of paragraph (a) above
          unless it becomes effective and either (i) the Selling Investors are
          able to sell at least 80% of the Purchaser Shares sought to be
          included in such registration statement or (ii) such registration
          statement is kept effective for at least 180 days prior to such
          rescission notice.

          9.3  Piggyback Registration.  If at any time the Company proposes for
               ----------------------
any reason to register Primary Shares or Other Shares under the Securities Act
(other than on Form S-4 or Form S-8 promulgated under the Securities Act or any
successor forms thereto and other than with respect to the registration
statement originally filed in April 1999 for CVI and others) including, without
limitation, any registration pursuant to the exercise of the demand registration
rights of any Person other than the Purchaser or any other Holder, on any form
that would also permit the registration of Purchaser Shares, promptly give
written notice to the Purchaser and the Holders of its intention to so register
the Primary Shares or Other Shares and, upon the written request, given within
15 days after delivery of any such notice by the Company, of the Purchaser or
any Holder to include in such registration Purchaser Shares held by such Person
(which request shall specify the number of Purchaser Shares proposed to be
included in such registration), the Company shall use its best efforts to cause
all such Purchaser Shares to be included in such registration on the same terms
and conditions as the securities otherwise being sold in such registration
provided, however, that if at any time after giving written notice of its
- --------  -------
intention to register any securities, and prior to the effective date of the
registration statement filed in connection with such registration, the Company
shall determine for any reason not to proceed with the proposed registration of
the securities to be sold by it, the Company may, at its election, give written
notice of such determination to each Holder of Purchaser Shares and, thereupon,
shall be relieved of its obligation to register any Purchaser Shares in
connection with such registration; and, provided further, however, that if the
                                        ----------------  -------
managing underwriter advises the Company that the inclusion of all Purchaser
Shares or Other Shares proposed to be included in such registration would
interfere with the successful marketing (including pricing) of the Primary
Shares proposed to be registered by the Company, then the number of Primary
Shares, Purchaser

                                      -35-
<PAGE>

Shares and Other Shares proposed to be included in such registration shall be
included in the following order:

          (a)  first, the Primary Shares; and
               -----

          (b)  second, the Other Shares (other than those shares of Common Stock
               ------
which are not subject to any registration rights agreement) and the Purchaser
Shares requested to be included in such registration, pro rata based upon the
                                                      --- ----
number of shares of Common Stock requested to be included in such registration
(assuming conversion of Preferred Shares and exercise of Warrants, as
applicable) owned by each such seller at the time of such registration.

          In connection with any underwritten offering under this Section 9.3,
the Company shall not be required to include Purchaser Shares in such
underwritten offering unless the Holders of such Purchaser Shares accept the
terms of the underwriting of such offering that have been agreed upon between
the Company and the underwriters selected by the Company, including without
limitation, the underwriting agreement and the fees and expenses in connection
therewith.

          9.4  S-3 Registrations.  If (i) at any time following the earlier of
               -----------------
(A) the first anniversary of the Closing Date and (B) the occurrence of either
of the events described in Section 9.2(a)(i)(y) or (z) the Purchaser, or Holders
who beneficially own at least 7,000,000 Purchaser Shares, or (ii) at any time
from and after the second anniversary of the Closing Date, the Apollo
Purchasers, request that the Company file a registration statement on Form S-3
or any successor thereto for a public offering of all or any portion of the
Purchaser Shares held by such Persons, and (iii) the Company is a registrant
entitled to use Form S-3 or any successor thereto to register such shares, then
the Company shall use its best efforts to register under the Securities Act on
Form S-3 or any successor thereto, for public sale in accordance with the method
of disposition specified in such notice, the number of shares of Purchaser
Shares specified in such notice provided that, if so requested by the Apollo
                                -------- ----
Purchasers, at all times from and after the Closing Date the Company shall
maintain a registration statement on Form S-3 covering Common Stock with a
market value of not less than $125,000,000.  Whenever the Company is required by
this Section 9.4 to use its best efforts to effect the registration of Purchaser
Shares, each of the procedures and requirements of Section 9.2 (including but
not limited to the requirement that the Company notify all holders of Restricted
Shares from whom notice has not been received and provide them with the
opportunity to participate in the offering) shall apply to such registration.
Notwithstanding anything to the contrary contained herein, no request may be
made under this Section 9.4 within six months, provided, that the Company shall
                                               --------
use reasonable efforts to achieve a shorter period or have such restrictions
released in less than six months after the effective date of a registration
statement filed by the Company covering a firm commitment underwritten public
offering in which the holders of Purchaser Shares shall have been entitled to
join pursuant to Section 9.2 or 9.3 in which there shall have been effectively
registered all Purchaser Shares as to which registration shall have been
requested.  There is no limitation on the number of registrations pursuant to
this Section 9.4 that the Company is obligated to effect.

                                      -36-
<PAGE>

          9.5  Expenses.  The Company shall bear the expense of any
               --------
registrations effected pursuant to Sections 9.2, 9.3 and 9.4 including, without
limitation, all registration and filing fees (including all expenses incident to
filing with the NASD), fees and expenses of complying with securities and blue
sky laws, printing expenses, and fees and expenses of the Company's counsel and
accountants, and the fees and expenses of the Selling Investors' Counsel, but
excluding any underwriters' or brokers' discounts or commissions, transfer taxes
(to the extent that such taxes are required by law to be paid by the Selling
Investors) and the fees of any counsel to any Selling Investor, other than the
Selling Investors' Counsel (it being understood that the fees and expenses of
any underwriter and such underwriter's counsel shall be the responsibility of
such underwriter and the Selling Investors).

          9.6  Preparation and Filing.  If and whenever the Company is under an
               ----------------------
obligation pursuant to the provisions of this Agreement to use its best efforts
to effect the registration of any Purchaser Shares under the Securities Act, the
Company shall, as expeditiously as practicable:

          (a)  with respect to a registration under Sections 9.2, 9.3 and 9.4,
use its best efforts to cause a registration statement that registers such
Purchaser Shares to become and remain effective for a period of 180 days or
until all of such Purchaser Shares have been disposed of (if earlier), provided,
                                                                       ---------
however, that the Company may discontinue any registration of its securities
- -------
that is being effected pursuant to Section 9.3 hereof at any time prior to the
effective date of the registration statement relating thereto;

          (b)  furnish, at least five business days before filing a registration
statement that registers such Purchaser Shares, a prospectus relating thereto or
any amendments or supplements relating to such a registration statement or
prospectus, to each holder of Purchaser Shares, to any Selling Investors and to
the Selling Investors' Counsel, copies of all such documents proposed to be
filed with the SEC (it being understood that such five-business-day period need
not apply to successive drafts of the same document proposed to be filed so long
as such successive drafts are supplied to such counsel in advance of the
proposed filing by a period of time that is customary and reasonable under the
circumstances);

          (c)  prepare and file with the SEC such amendments and supplements to
such registration statement and the prospectus used in connection therewith as
may be necessary to keep such registration statement effective for at least the
periods set forth in Section 9(a) or until all of such Purchaser Shares have
been disposed of (if earlier) and to comply with the provisions of the
Securities Act with respect to the registration of the sale or other disposition
of such Purchaser Shares;

          (d)  notify in writing the Selling Investors promptly (i) of the
receipt by the Company of any notification with respect to any comments by the
SEC with respect to such registration statement or prospectus or any amendment
or supplement thereto or any request by the SEC for the amending or
supplementing thereof or for additional information with respect

                                      -37-
<PAGE>

thereto, (ii) of the receipt by the Company of any notification with respect to
the issuance by the SEC of any stop order suspending the effectiveness of such
registration statement or prospectus or any amendment or supplement thereto or
the initiation or threatening of any proceeding for that purpose and (iii) of
the receipt by the Company of any notification with respect to the suspension of
the qualification of such Purchaser Shares for sale in any jurisdiction or the
initiation or threatening of any proceeding for such purposes;

          (e)  use its best efforts to register or qualify such Purchaser Shares
covered by such registration statement under such other securities or blue sky
laws of such jurisdictions as any Selling Investor reasonably requests and do
any and all other acts and things which may be reasonably necessary or advisable
to enable such Selling Investor to consummate the disposition in such
jurisdictions of the Purchaser Shares owned by such Selling Investor; provided,
                                                                      --------
however, that the Company will not be required to qualify generally to do
- -------
business, subject itself to general taxation or consent to general service of
process in any jurisdiction where it would not otherwise be required so to do
but for this paragraph (e);

          (f)  furnish to each Selling Investor such number of copies of a
summary prospectus or other prospectus, including a preliminary prospectus, in
conformity with the requirements of the Securities Act, and such other documents
as such Selling Investor may reasonably request in order to facilitate the
public sale or other disposition of such Purchaser Shares;

          (g)  use its best efforts to cause such Purchaser Shares to be
registered with or approved by such other governmental agencies or authorities
as may be necessary by virtue of the business and operations of the Company to
enable the seller or sellers thereof to consummate the disposition of such
Purchaser Shares;

          (h)  notify on a timely basis each Selling Investor at any time when a
prospectus relating to such Purchaser Shares is required to be delivered under
the Securities Act within the appropriate period mentioned in paragraph (a) of
this Section, of the happening of any event as a result of which the prospectus
included in such registration statement, as then in effect, included an untrue
statement of a material fact or omits to state a material fact required to be
stated therein or necessary to make the statements therein not misleading in
light of the circumstances then existing and, at the request of such seller,
prepare and furnish to such seller a reasonable number of copies of a supplement
to or an amendment of such prospectus as may be necessary so that, as thereafter
delivered to the offerees of such shares, such prospectus shall not include an
untrue statement of a material fact or omit to state a material fact required to
be stated therein or necessary to make the statements therein not misleading in
light of the circumstances then existing;

          (i)  make available for inspection by any counsel to any Selling
Investor and the Selling Investors' Counsel or any underwriter participating in
any disposition pursuant to such registration statement and any attorney,
accountant or other agent retained by any such

                                      -38-
<PAGE>

underwriter (collectively, the "Inspectors"), all pertinent financial and other
                                ----------
records, pertinent corporate documents and properties of the Company
(collectively, the "Records"), as shall be reasonably necessary to enable them
                    -------
to exercise their due diligence responsibility, and cause the Company's
officers, directors and employees to supply all information (together with the
Records, the "Information") reasonably requested by any such Inspector in
              -----------
connection with such registration statement. Any of the Information which the
Company determines in good faith to be confidential, and of which determination
the Inspectors are so notified, shall not be disclosed by the Inspectors unless
(i) the disclosure of such Information is necessary to avoid or correct a
misstatement or omission of a material fact in the registration statement, (ii)
the release of such Information is ordered pursuant to a subpoena or other order
from a court of competent jurisdiction or (iii) such Information has otherwise
been made generally available to the public. The Selling Investor agrees that it
will, upon learning that disclosure of such Information is sought in a court of
competent jurisdiction, give notice to the Company and allow the Company, at the
Company's expense, to undertake appropriate action to prevent disclosure of the
Information deemed confidential;

          (j)  use its best efforts to obtain from its independent certified
public accountants "comfort" letters in customary form and at customary times
and covering matters of the type customarily covered by comfort letters;

          (k)  use its best efforts to obtain from its counsel an opinion or
opinions in customary form;

          (l)  provide a transfer agent and registrar (which may be the same
entity and which may not be the Company) for such Purchaser Shares;

          (m)  issue to any underwriter to which any Selling Investor may sell
shares in such offering certificates evidencing such Purchaser Shares; provided,
                                                                       --------
however, that the Company shall have the right to approve any such underwriter
- -------
in connection with an underwritten offering pursuant to Section 9.2 hereof, with
such approval not to be unreasonably withheld, and the Company shall have the
right to select such underwriter in connection with an underwritten offering
pursuant to Section 9.3 hereof;

          (n)  list such Purchaser Shares on any national securities exchange on
which any shares of the Common Stock are listed or on Nasdaq if then included,
or if the Common Stock is not then listed on a national securities exchange or
on Nasdaq, use its best efforts to qualify such Purchaser Shares for inclusion
on such national securities exchange or Nasdaq as the holders of a majority of
such Purchaser Shares shall request;

          (o)  otherwise use its best efforts to comply with all applicable
rules and regulations of the SEC and, if required under such rules and
regulations, make available to its security holders, as soon as reasonably
practicable, earnings statements (which need not be audited) covering a period
of 12 months beginning within three months after the effective date of

                                      -39-
<PAGE>

the registration statement, which earnings statements shall satisfy the
provisions of Section 11(a) of the Securities Act;

          (p)  use its best efforts to take all other steps necessary to effect
the registration of such Purchaser Shares contemplated hereby; and

          (q)  use its best efforts to make available its senior executive and
financial officers to participate at the reasonable request of any underwriter
in marketing presentations to potential investors.

          9.7  Indemnification.
               ---------------

          (a)  In connection with any registration of any Purchaser Shares under
the Securities Act pursuant to this Agreement, the Company shall indemnify and
hold harmless each Selling Investor, its officers and directors, each
underwriter, broker or any other person acting on behalf of such seller and each
other person, if any, who controls any of the foregoing persons within the
meaning of the Securities Act against any losses, claims, damages or
liabilities, joint or several, (or actions in respect thereof) to which any of
the foregoing persons may become subject under the Securities Act or otherwise,
insofar as such losses, claims, damages or liabilities (or actions in respect
thereof) arise out of or are based upon an untrue statement or alleged untrue
statement of a material fact contained in the registration statement under which
such Purchaser Shares were registered under the Securities Act, any preliminary
prospectus or final prospectus contained therein or otherwise filed with the
SEC, any amendment or supplement thereto or any document incident to
registration or qualification of any Purchaser Shares, or arise out of or are
based upon the omission or alleged omission to state therein a material fact
required to be stated therein or necessary to make the statements therein not
misleading, and shall reimburse such seller, such officer or director, such
underwriter, such broker or such other person acting on behalf of such seller
and each such controlling person for any legal or other expenses reasonably
incurred by any of them in connection with investigating or defending any such
loss, claim, damage, liability or action; provided, however, that the Company
                                          --------  -------
shall not be liable in any such case to the extent that any such loss, claim,
damage, liability or action arises out of or is based upon an untrue statement
or alleged untrue statement or omission or alleged omission made in said
registration statement, preliminary prospectus, final prospectus, amendment,
supplement or document incident to registration or qualification of any
Purchaser Shares in reliance upon and in conformity with written information
furnished to the Company through an instrument duly executed by such seller or
underwriter specifically for use in the preparation thereof; provided, further,
                                                             --------  -------
that with respect to any prospectus, the foregoing indemnity shall not inure to
the benefit of (a) any underwriter or, in the case of a registration statement
filed with respect to an offering which is not an underwritten offering, any
Selling Investor, from whom the person asserting any losses, claims, damages and
liabilities and judgments purchased Purchaser Shares or (b) any person
controlling such underwriter or Selling Investor, if (i) a copy of the
prospectus (as then amended or supplemented if the Company shall have furnished
any amendments or supplements thereto) was required by law to have been
delivered by such underwriter or Selling Investor (as applicable), (ii) the
prospectus had not been sent or given by or on behalf of such underwriter or
Selling Investor (as

                                      -40-
<PAGE>

applicable), (ii) the prospectus had not been sent or given by or on behalf of
such underwriter or Selling Investor (as applicable) to such person with or
prior to a written confirmation of the sale of the Purchaser Shares to such
person, (iii) the prospectus (as so amended and supplemented) would have cured
the defect giving rise to such loss, claim, damage, liability or judgment and
(iv) such failure to deliver the prospectus (as so amended and supplemented) was
not the result of noncompliance by the Company with Section 9.6(f) hereof.

          (b)  In connection with any registration of Purchaser Shares under the
Securities Act pursuant to this Agreement, each Selling Investor shall indemnify
and hold harmless (in the same manner and to the same extent as set forth in the
preceding paragraph of this Section) the Company, each director of the Company,
each officer of the Company who shall sign such registration statement, each
underwriter, broker or other person acting on behalf of the Company or such
seller, each person who controls any of the foregoing persons within the meaning
of the Securities Act and each other Selling Investor under such registration
statement with respect to any statement or omission from such registration
statement, any preliminary prospectus or final prospectus contained therein or
otherwise filed with the SEC, any amendment or supplement thereto or any
document incident to registration or qualification of any Purchaser Shares, if
such statement or omission was made in reliance upon and in conformity with
written information furnished to the Company or such underwriter through an
instrument duly executed by such seller specifically for use in connection with
the preparation of such registration statement, preliminary prospectus, final
prospectus, amendment, supplement or document; provided, however, that the
                                               --------  -------
obligation to indemnify will be several, not joint and several, among such
Selling Investors, and the maximum amount of liability in respect of such
indemnification shall be in proportion to and limited to, in the case of each
Selling Investor, an amount equal to the net proceeds actually received by such
seller from the sale of Purchaser Shares effected pursuant to such registration.

          (c)  The Indemnification required by this Section 9.7 will be made by
periodic payments during the course of the investigation or defense, as and when
bills are received or expenses incurred, subject to prompt refund in the event
any such payments are determined not to have been due and owing hereunder.

          (d)  Promptly after receipt by an indemnified party of notice of the
commencement of any action involving a claim referred to in the preceding
paragraphs of this Section 9.7, such indemnified party will, if a claim in
respect thereof is made against an indemnifying party, give written notice to
the latter of the commencement of such action (it being understood that no delay
in delivering or failure to deliver such notice shall relieve the indemnifying
persons from any liability or obligation hereunder unless (and then solely to
the extent that) the indemnifying person is prejudiced by such delay and/or
failure).  In case any such action is brought against an indemnified party, the
indemnifying party will be entitled to participate in and to assume the defense
thereof, jointly with any other indemnifying party similarly notified to the
extent that it may wish, with counsel reasonably satisfactory to such
indemnified party, and after notice from the indemnifying party to such
indemnified party of its

                                      -41-
<PAGE>

election so to assume the defense thereof, the indemnifying party shall not be
responsible for any legal or other expenses subsequently incurred by the latter
in connection with the defense thereof; provided, however, that if any
                                        --------  -------
indemnified party shall have reasonably concluded that there may be one or more
legal or equitable defenses available to such indemnified party which are
additional to or conflict with those available to the indemnifying party, or
that such claim or litigation involves or could have an effect upon matters
beyond the scope of the indemnity agreement provided in this Section 9.7, the
indemnifying party shall not have the right to assume the defense of such action
on behalf of such indemnified party and such indemnifying party shall reimburse
such indemnified party and any person controlling such indemnified party for
that portion of the fees and expenses of any counsel retained by the indemnified
party which is reasonably related to the matters covered by the indemnity
agreement provided in this Section 9.7.

          (e)  The indemnification provided for under this Agreement will remain
in full force and effect regardless of any investigation made by or on behalf of
the indemnified party or any officer, director or controlling person of such
indemnified party and will survive the transfer of securities.

          (f)  If the indemnification provided for in this Section 9.7 is held
by a court of competent jurisdiction to be unavailable to an indemnified party
with respect to any loss, claim, damage, liability or action referred to herein,
then the indemnifying party, in lieu of indemnifying such indemnified party
hereunder, shall contribute to the amounts paid or payable by such indemnified
party as a result of such loss, claim, damage, liability or action in such
proportion as is appropriate to reflect the relative fault of the indemnifying
party on the one hand and of the indemnified party on the other in connection
with the statements or omissions which resulted in such loss, claim, damage or
liability as well as any other relevant equitable considerations. The relative
fault of the indemnifying party and of the indemnified party shall be determined
by reference to, among other things, whether the untrue or alleged untrue
statement of a material fact or the omission or alleged omission to state a
material fact relates to information supplied by the indemnifying party or by
the indemnified party and the parties' relative intent, knowledge, access to
information and opportunity to correct or prevent such statement or omission.
The Company and the Selling Investors agree that it would not be just and
equitable if contributions pursuant to this paragraph were determined by pro
                                                                         ---
rata allocation or by any other method of allocation which did not take into
- ----
account the equitable considerations referred to herein.  The amount paid or
payable to an indemnified party as a result of the losses, claims, damages,
liabilities or expenses referred to above shall be deemed to include, subject to
the limitation set forth in Section 9.7(c), any legal or other expenses
reasonably incurred in connection with investigating or defending the same.
Notwithstanding the foregoing, in no event shall the amount contributed by a
Selling Investor exceed the aggregate net offering proceeds received by such
seller from the sale of its Purchaser Shares.

                                      -42-
<PAGE>

          9.8  Underwriting Agreement.  Notwithstanding the provisions of
               ----------------------
Section 9.6 and 9.7, to the extent that the Company and the Selling Investors
shall enter into an underwriting or similar agreement, which agreement contains
provisions covering one or more issues addressed in such Sections, the
provisions contained in such Sections addressing such issue or issues shall be
superseded with respect to such registration by such other agreement.

          9.9  Information From Selling Investors.  The Selling Investors shall
               ---------------------------------
furnish to the Company such written information regarding such Selling Investors
and the distribution proposed by such Selling Investors as the Company may
reasonably request in writing and as shall be reasonably required in connection
with any registration, qualification or compliance referred to in this
Agreement.

          9.10 Exchange Act Compliance.  The Company shall comply with all of
               -----------------------
the reporting requirements of the Exchange Act and with all other public
information reporting requirements of the SEC which are conditions to the
availability of Rule 144 for the sale of the Common Stock.  The Company shall
cooperate with the Purchaser and Holders supplying such information as may be
necessary for the Purchaser and Holders to complete and file any information
reporting forms presently or hereafter required by the SEC as a condition to the
availability of Rule 144.

          9.11 No Conflicting Registration Rights.  The Company represents and
               ----------------------------------
warrants to the Purchaser that the registration rights granted hereby do not
conflict with any other registration rights granted by the Company.  The Company
shall not, after the date hereof, grant any registration rights which conflict
with the registration rights granted hereby, or agree to any registration rights
that restrict the ability of the Purchaser or the Holders to piggy-back on other
registration statements (except pursuant to standard cut-back provisions).

          9.12 Registration Rights Regarding the Non-Voting Common Stock. To the
               ---------------------------------------------------------
extent that the Purchaser Shares shall consist of Non-Voting Common Stock, the
Company hereby grants the holders of such Purchaser Shares the same registration
rights and related rights and privileges with respect to the Non-Voting Common
Stock as provided by this Article 9 with respect to the Common Stock.

          10.  Definitions.  Unless the context otherwise requires, the terms
               -----------
defined in this Section 10 shall have the meanings specified for all purposes of
this Agreement.

          Except as otherwise expressly provided, all accounting terms used in
this Agreement, whether or not defined in this Section 10, shall be construed in
accordance with United States generally accepted accounting principles.  If and
so long as the Company has one or more Subsidiaries, such accounting terms shall
be determined on a consolidated basis for the Company and each of its
Subsidiaries, and the financial statements and other financial information to be
furnished by the Company pursuant to this Agreement shall be consolidated and
presented with consolidating financial statements of the Company and each of its
Subsidiaries.

                                      -43-
<PAGE>

          "Alternative Transaction" shall have the meaning assigned to it in
           -----------------------
Section 8.1 hereof.

          "Affiliate" shall mean any Person that directly or indirectly
           ---------
controls, is controlled by, or is under common control with, the indicated
Person.

          "Agent" of a Person shall mean any officer, director, employee, agent,
           -----
partner stockholder or Affiliate of such Person.

          "Agreement" shall mean this Agreement.
           ---------

          "Apollo Purchasers" shall have the meaning assigned it in the
           -----------------
introductory paragraph of this Agreement.


          Certificate of Incorporation" shall have the meaning assigned to it in
          ----------------------------
Section 1 hereof.

          "Closing" shall have the meaning assigned to it in Section 3 hereof.
           -------

          "Closing Date" shall have the meaning assigned to it in Section 3
           ------------
hereof.

          "Code" shall mean the Internal Revenue Code of 1986, as amended.
           ----

          "Common Stock" shall have the meaning assigned to it in Section 1
           ------------
hereof.

          "Company Intellectual Property "shall have the meaning assigned to it
           ------------------------------
in Section 5.17(a) hereof.

          "Conversion Shares" shall mean the shares of Common Stock or Non-
           -----------------
Voting Common Stock, as the case may be, issuable upon conversion of the
Preferred Shares.

          "Employee Benefit Plans" shall have the meaning assigned to it in
           ----------------------
Section 5.30 hereof.

          "ERISA" shall mean the Employee Retirement Income Security Act of
           -----
1974, as amended.

          "Encumbrances" shall have the meaning assigned to it in Section 5.2
           ------------
hereof.

          "Equity Security" shall mean any stock of the Company or any security
           ---------------
convertible, with or without consideration, into any such stock, or any security
carrying any warrant or right to subscribe to or purchase any such stock, or any
such warrant or right.

                                      -44-
<PAGE>

          "Escrow Agreement" shall have the meaning assigned to it in Section 2
           ----------------
hereof.

          "Exchange Act" shall have the meaning assigned to it in Section 4.3
           ------------
hereof.

          "Existing Agreement" shall have the meaning assigned to it in the
           ------------------
recitals.

          "Governmental Entity" shall mean any national, federal, state,
           -------------------
municipal, local, territorial, foreign or other government or any department,
commission, board, bureau, agency, regulatory authority or instrumentality
thereof, or any court, judicial, administrative or arbitral body or public or
private tribunal.

          "Hazardous Substances "shall have the meaning assigned to it in
           ---------------------
Section 5.27 hereof.

          "Holder" shall have the meaning assigned to it in Section 9.1.
           ------

          "HSR Act" shall mean the Hart-Scott-Rodino Antitrust Improvements Act
           -------
of 1976, as amended.

          "Intellectual Property "shall have the meaning assigned to it in
           ----------------------
Section 5.17(a) hereof.

          "LLC" shall have the meaning assigned to it in the preamble.
           ---

          "Liquidation" means any voluntary or involuntary liquidation,
           -----------
dissolution, or winding up of the affairs of the Company, other than any
dissolution, liquidation or winding up in connection with any reincorporation of
the Company in another jurisdiction.

          "Material Adverse Effect" shall have the meaning assigned to it in
           -----------------------
Section 5.3 hereof.

          "Nasdaq" shall have the meaning assigned to it in Section 5.10.
           ------

          "Nasdaq National Market" shall have the meaning assigned to it in
           ----------------------
Section 5.16.

          "Non-Voting Common Stock" shall have the meaning assigned to it in
           -----------------------
Section 1 hereof.

          "Permitted Acquisition" means any acquisition by the Company or any
           ---------------------
Subsidiary of (i) any business or assets with a purchase price of $2,500,000 or
less (including all assumed debt, all cash payments, and the fair market value
of all securities or other property issued as consideration) or (ii) any
business or assets for which the consent or approval of the Purchaser has been
given.

                                      -45-
<PAGE>

          "Person" shall include all natural persons, corporations, business
           ------
trusts, associations, companies, partnerships, joint ventures and other entities
and governments and agencies and political subdivisions.

          "Preferred Shares" shall have the meaning assigned to it in Section 1
           ----------------
hereof.

          "Proxy Statement" shall have the meaning assigned to it in Section
           ---------------
7.11 hereof.

          "Purchase Price" shall have the meaning assigned it in Section 2
           --------------
hereof.

          "Purchaser" shall have the meaning assigned it in the introductory
           ---------
paragraph of this Agreement.

          "Rare Medium Note" shall have the meaning assigned to it in Section
           ----------------
5.28 hereof.

          "Real Property" shall have the meaning assigned to it in Section 5.7
           -------------
hereof.

          "Requisite Holders" shall mean the Apollo Purchasers so long as the
           -----------------
Total Attributable Share Percentage of the Apollo Purchasers is 50% or greater,
and thereafter the Apollo Purchasers and such Holders as beneficially own in the
aggregate 50% or more of the Securities.

          "SEC" shall mean the Securities and Exchange Commission.
           ---

          "SEC Documents" shall have the meaning assigned to it in Section 5.8
           -------------
hereof.

          "Securities" shall have the meaning assigned to it in Section 1
           ----------
hereof.

          "Securities Act" or "Act" shall mean the Securities Act of 1933, as
           --------------
amended.

          "Stockholders Meeting" shall have the meaning assigned to it in
           --------------------
Section 11.1 hereof.

          "Subsidiary" shall mean any corporation, association or other business
           ----------
entity (i) at least 50% of the outstanding voting securities of which are at the
time owned or controlled directly or indirectly by the Company; or (ii) with
respect to which the Company possesses, directly or indirectly, the power to
direct or cause the direction of the affairs or management of such person.

          "Total Attributable Share Percentage" shall mean, for any Person on
           -----------------------------------
any date on which such calculation is to be made, the result obtained when the
Total Attributable Shares beneficially owned by such Person on such date is
divided by the Total Attributable Shares owned by such Person on the Closing
Date (plus, the number of Securities acquired through the payment

                                      -46-
<PAGE>

of dividends in accordance with the Certificates of Designation through such
date), expressed as a percentage.

          "Total Attributable Shares" shall mean, as to any Person on any date
           -------------------------
on which such amount is to be determined, the sum obtained by adding (a) the
number of Conversion Shares and Warrant Shares beneficially owned by such Person
on such date plus (b) the number of Conversion Shares into which the Preferred
             ----
Shares beneficially owned by such Person on such date may be converted plus (c)
                                                                       ----
the number of Warrant Shares issuable in respect of Warrants beneficially owned
by such Person on such date.  If Total Attributable Shares is being calculated
prior to the approval by the Company's stockholders of the transactions
contemplated by this Agreement (as described in Section 7.11(b) above), then (b)
and (c) in the previous sentence shall be calculated by assuming that such
approval has been obtained and that Series B Preferred Shares have been
converted into Series A Preferred Shares, Series 1-B Warrants have been
converted into Series 1-A Warrants, Series 2-B Warrants have been converted into
Series 2-A Warrants and, in each case, are fully convertible or exercisable at
the then conversion or exercise price.  Immediately following the Closing, based
on the assumption in the preceding sentence, the number of Total Attributable
Shares will be 36,436,114.

          "Transaction Documents" means this Agreement, the Escrow Agreement,
           ---------------------
the Certificates of Designation, the Warrants and Preferred Stock issued
hereunder and any other instruments or agreements executed in connection
herewith or therewith.

          "Warrants" shall have the meaning assigned to it in Section 1 hereof.
           --------

          "Warrant Shares" shall have the meaning assigned to it in Section 1
           --------------
hereof.

          "Warrant Stock" shall have the meaning assigned to it in Section 1
           -------------
hereof.

          "Year 2000 Compliant" shall have the meaning assigned to it in Section
           -------------------
5.25 hereof.

          11.  Enforcement.
               -----------

          11.1 Remedies at Law or in Equity.  If any representation or warranty
               ----------------------------
made by or on behalf of the Company, on the one hand, or the Purchaser, on the
other hand, in this Agreement or in any certificate, report or other instrument
delivered under or pursuant to any term hereof shall be untrue or misleading in
any material respect as of the date of this Agreement or as of the Closing Date
or as of the date it was made, furnished or delivered, or any covenant made by
either party hereto shall be breached by such party, the Purchaser or any
Holder, on the one hand, or the Company on the other hand, may proceed to
protect and enforce its rights by suit in equity or action at law, whether for
the specific performance of any term contained in this Agreement, the Escrow
Agreement, or the Certificates of Designation or the Warrants or for an
injunction against the breach of any such term or in aid of the exercise of any
power granted in

                                      -47-
<PAGE>

this Agreement, the Escrow Agreement, or the Certificates of Designation or the
Warrants, or to enforce any other legal or equitable right of the Purchaser or
such Holder, on the one hand, or the Company on the other hand, or to take any
one or more of such actions.

          In the event the Purchaser or any Holder brings such an action against
the Company or the Company brings an action against the Purchaser arising under
this Agreement, the prevailing party in such dispute shall be entitled to
recover from the losing party all fees, costs and expenses of enforcing any
right of such prevailing party under or with respect to this Agreement, the
Escrow Agreement, the Certificates of Designation or the Warrants, including
without limitation such reasonable fees and expenses of attorneys and
accountants, which shall include, without limitation, all fees, costs and
expenses of appeals.

          11.2   Cumulative Remedies.  None of the rights, powers or remedies
                 -------------------
conferred upon the Purchaser or any Holder on the one hand, or the Company on
the other hand, shall be mutually exclusive, and each such right, power or
remedy shall be cumulative and in addition to every other right, power or
remedy, whether conferred hereby or by the Escrow Agreement, the Certificates of
Designation or the Warrants or now or hereafter available at law, in equity, by
statute or otherwise.

          11.3   No Implied Waiver.  Except as expressly provided in this
                 -----------------
Agreement, no course of dealing between the Company and the Purchaser or any
Holder and no delay in exercising any such right, power or remedy conferred
hereby or by the Escrow Agreement, the Certificates of Designation or the
Warrants or now or hereafter existing at law in equity, by statute or otherwise,
shall operate as a waiver of, or otherwise prejudice, any such right, power or
remedy.

           12.   Miscellaneous.
                 -------------

           12.1  Waivers and Amendments.  Upon the approval of the Company and
                 ----------------------
the written consent of the Requisite Holders (a) the obligations of the Company
and the rights of the Purchaser and the Holders under this Agreement or the
Escrow Agreement may be waived (either generally or in a particular instance,
either retroactively or prospectively and either for a specified period of time
or indefinitely), and (b) the Company may enter into a supplementary agreement
for the purpose of adding any provisions to or changing in any manner or
eliminating any of the provisions of this Agreement or the Escrow Agreement, or
of any supplemental agreement or modifying in any manner the rights and
obligations hereunder or thereunder of the Purchaser, the Holders and the
Company.

          The foregoing notwithstanding, no such waiver or supplemental
agreement shall (a) affect any of the rights of any holder of a Security created
by the Certificates of Designation, the Warrants or by the Delaware General
Corporation Law without compliance with all applicable provisions of the
Certificates of Designation, the Warrants and the Delaware General Corporation
Law, or (b) reduce the aforesaid fraction of Preferred Shares or Warrants, as
the case may be, the

                                      -48-
<PAGE>

holders of which are required to consent to any waiver or supplemental
agreement, without the consent of the holders of all the Preferred Shares or
Warrants, respectively.

          Upon the effectuation of each such waiver or supplemental agreement,
the Company shall promptly give written notice thereof to the Purchaser and the
Holders who have not previously consented thereto in writing.

          Neither this Agreement nor the Escrow Agreement, nor any provision
hereof or thereof, may be changed, waived, discharged or terminated orally or by
course of dealing, but only by a statement in writing signed by the party
against which enforcement of the change, waiver, discharge or termination is
sought, except to the extent provided in this Section 12.1.

          12.2  Notices.  All notices, requests, consents and other
                -------
communications required or permitted hereunder shall be in writing and shall be
hand delivered or mailed postage prepaid by registered or certified mail,

                (a)  If to the Apollo Purchaser:

                     Apollo Investment Fund IV, L.P.
                     c/o Apollo Management, L.P.
                     1301 Avenue of the Americas
                     38th Floor
                     New York, NY 10019
                     Attention: Andrew D. Africk
                     Telecopy No.:  (212) 261-4071

                     with copies to:

                     Sidley & Austin
                     875 Third Avenue
                     New York, NY 10022
                     Attention: Daniel G. Kelly, Jr.
                     Telecopy No.:  (212) 906-2021

             or (b)  If to the other persons or entities party to this
Agreement, at the address specified on its respective signature page hereof.

             or (c)  If to the Company:

                     Rare Medium Group, Inc.
                     44 West 18th Street
                     6th Floor
                     New York, NY 10011

                                      -49-
<PAGE>

                     Attention: Glenn S. Meyers
                     Telecopy No.:  (917) 217-1111

                     with a copy to:

                     Mesirov Gelman Jaffe Cramer
                     & Jamieson, LLP
                     1735 Market Street
                     Philadelphia, PA 19103
                     Attention: Richard P. Jaffe
                     Telecopy No.:  (215) 994-1046

or at such other address as the Company or the Purchaser each may specify by
written notice to the other, and each such notice, request, consent and other
communication shall for all purposes of the Agreement be treated as being
effective or having been given when delivered if delivered personally, or, if
sent by mail, at the earlier of its receipt or 72 hours after the same has been
deposited in a regularly maintained receptacle for the deposit of United States
mail, addressed and postage prepaid as aforesaid.

          12.3 Termination of Agreement.  This Agreement may be terminated
               ------------------------
prior to the Closing as follows:

          (a)  by mutual consent of the Purchaser and the Company;

          (b)  at the election of the Company, if any one or more of the
     conditions to its obligations has not been fulfilled as of 75 days
     following the date hereof;

          (c)  at the election of the Purchaser, if any one or more of the
     conditions to its obligations has not been fulfilled as of 75 days
     following the date hereof;

          (d)  at the election of the Company, if the Purchaser has breached any
     material representation, warranty, covenant or agreement contained in this
     Agreement; or

          (e)  at the election of the Purchaser, if the Company has breached any
     material representation, warranty, covenant or agreement contained in this
     Agreement.

          If the Closing shall occur, this Agreement shall remain in effect
until the later of (i) the date upon which no Preferred Shares or Warrants shall
remain outstanding and (ii) the date upon which all Conversion Shares or Warrant
Shares eligible to be sold pursuant to a registration statement under Article 9
shall have been sold.

          In the event that the Company or the Purchaser, as the case may be,
elects to terminate this Agreement, it shall deliver an irrevocable notice to
the other party to this

                                      -50-
<PAGE>

Agreement declaring its election to so terminate this Agreement in accordance
with the provisions of this Section 12.3, and setting form therein the basis for
such termination.

          12.4 Indemnification.  The Company shall indemnify, save and hold
               ---------------
harmless the Purchaser, its directors, officers, employees, partners,
representatives and agents from and against any and all liability, loss, cost,
damage, reasonable attorneys' and accountants' fees and expenses, court costs
and all other out-of-pocket expenses incurred in connection with or arising from
(i) the execution, delivery and performance of this Agreement and the
Transaction Documents and the transactions contemplated thereby, and (ii) the
Purchaser's role with the Company or such transactions, in each case, except to
the extent of any wilful misconduct or gross negligence of the indemnified
party.  This indemnification provision shall be in addition to the rights of the
Purchaser to bring an action against the Company for breach of any term of this
Agreement and the Transaction Documents.

          12.5 Allocation of Purchase Price.  The Company and the Purchaser
               ----------------------------
hereby acknowledge that for the purposes of Section 1273(c)(2) of the Code, the
Warrants are a part of an investment unit with the Preferred Shares and that the
allocated purchase price of the Warrants for such purposes shall be mutually
determined by the parties hereto.  The Company and the Purchaser agree to use
the foregoing allocated purchaser price as the purchase price of the Warrants
for all income tax purposes.

          12.6 Survival of Representations and Warranties, etc.  All
               -----------------------------------------------
representations and warranties made in, pursuant to or in connection with this
Agreement shall survive for two years following the Closing Date,
notwithstanding any investigation at any time made by or on behalf of the
Purchaser, and the sale and purchase of the Securities and payment therefor; and
all statements contained in any certificate, instrument or other writing
delivered by or on behalf of the Company pursuant hereto or in connection with
or contemplation of the transactions herein contemplated shall constitute
representations and warranties by the Company hereunder.

          If this Agreement is terminated and the transactions contemplated
hereby are not consummated as described above, this Agreement shall become void
and of no further force and effect.  None of the parties hereto shall have any
liability in respect of a termination of this Agreement, except to the extent
that failure to satisfy the conditions set forth in Sections 6.1, 6.2 and 6.3
results from the intentional or willful violation of the representations,
warranties, covenants or agreements of such party under this Agreement.

          12.7 Severability.  Should any one or more of the provisions of this
               ------------
Agreement or of any agreement entered into pursuant to this Agreement be
determined to be illegal or unenforceable, all other provisions of this
Agreement and of each other agreement entered into pursuant to this Agreement
shall be given effect separately from the provision or provisions determined to
be illegal or unenforceable and shall not be affected thereby.

                                      -51-
<PAGE>

          12.8  Parties in Interest.  All the terms and provisions of this
                -------------------
Agreement shall be binding upon and inure to the benefit of and be enforceable
by the respective parties hereto, the successors and assigns of the Purchaser
and the Company, whether so expressed or not, and any Holder (each of which is
expressly deemed to be a third party beneficiary hereunder).  This Agreement
shall not run to the benefit of or be enforceable by any other Person.

          12.9  Headings.  The headings of the Sections and paragraphs of this
                --------
Agreement have been inserted for convenience of reference only and do not
constitute a part of this Agreement.

          12.10 Choice of Law.  It is the intention of the parties that the
                -------------
internal laws, and not the laws of conflicts, of New York should govern the
enforceability and validity of this Agreement, the construction of its terms and
the interpretation of the rights and duties of the parties.

          12.11 Expenses.  The Company agrees, subject to the consummation of
                --------
the transactions contemplated hereby, to pay, and hold the Purchaser harmless
from liability for the payment of, all expenses incurred by the Purchaser in
connection with the preparation and negotiation of the Existing Agreement, this
Agreement, the Escrow Agreement and the other Transaction Documents, and the
consummation of the transactions contemplated hereby and thereby, including,
without limitation:

                (i)   the fees and expenses of its counsel and accountants, and
     of the Escrow Agent and its counsel, and the Purchaser's out of pocket
     expenses, arising in connection with the negotiation and execution of the
     Existing Agreement, this Agreement, the Escrow Agreement, the Certificates
     of Designation and the Warrants and the consummation of the transactions
     contemplated hereby (the fees and expenses of such counsel may be paid by
     check delivered to such counsel at the Closing by the Purchaser, the amount
     of such check being deducted from the aggregate amount to be paid by the
     Purchaser at the Closing for the Securities to be purchased by it
     hereunder),

                (ii)  the fees and expenses incurred with respect to any
     amendments to the Existing Agreement, this Agreement, the Escrow Agreement,
     the Certificates of Designation or the Warrants proposed by the Company
     (whether or not the same become effective),

                (iii) the fees and expenses incurred in connection with any
     requested waiver of the right of any holder of Securities or the consent of
     any holder of Securities to contemplated acts of the Company not otherwise
     permissible by the terms of this Agreement, the Escrow Agreement, the
     Certificates of Designation or the Warrants,

               (iv)   stamp and other taxes, excluding income taxes, which may
     be payable with respect to the execution and delivery of the Existing
     Agreement, this

                                      -52-
<PAGE>

     Agreement and the Escrow Agreement, or the issuance, delivery or
     acquisition of the Preferred Shares or the Warrants or upon the conversion
     of the Preferred Shares or the exercise of the Warrants, and

                 (v)  all costs of the Company's performance and compliance with
     the Existing Agreement, this Agreement, the Escrow Agreement, the
     Certificates of Designation and the Warrants.

          12.12  Counterparts.  This Agreement may be executed in any number of
                 ------------
counterparts and by different parties hereto in separate counterparts, with the
same effect as if all parties had signed the same document.  All such
counterparts shall be deemed an original, shall be construed together and shall
constitute one and the same instrument.

          12.13  Entire Agreement.  This Agreement and the other Transaction
                 ----------------
Documents contain the entire agreement among the parties hereto with respect to
the subject matter hereof and such Agreement supersedes and replaces the
Existing Agreement and all other prior agreements, written or oral, among the
parties hereto with respect to the subject matter hereof.

                                      -53-
<PAGE>

          IN WITNESS WHEREOF, the parties hereto have caused this Securities
Purchase Agreement to be duly executed as of the day and year first above
written.

                              RARE MEDIUM GROUP, INC.


                              By:  _____________________________
                                   Name:  Glenn S. Meyers
                                   Title: Chairman, CEO and President


                              APOLLO INVESTMENT FUND IV, L.P.

                              By:  APOLLO ADVISORS IV, L.P.,
                                   its general partner

                              By:  Apollo Capital Management IV, Inc.,
                                   its general partner


                              By:  _____________________________
                                   Name:  Andrew D. Africk
                                   Title: Vice President


                              APOLLO OVERSEAS PARTNERS IV, L.P.

                              By:  APOLLO ADVISORS IV, L.P.
                                   its general partner


                              By:  Apollo Capital Management IV, Inc.,
                                   its general partner

                              By:  _____________________________
                                   Name:  Andrew D. Africk
                                   Title: Vice President


                              AIF IV/RRRR LLC


                              By:  _____________________________
                                   Name:  Andrew D. Africk
                                   Title: Manager

                                      -54-

<PAGE>

                                                                       Exhibit 2

================================================================================








                                  SERIES 1-A
                                    WARRANT
                          to Purchase Common Stock of

                            RARE MEDIUM GROUP, INC.








================================================================================


                                         Warrant No. [___]

                                         Original Issue
                                         Date: June 4, 1999
<PAGE>

                               TABLE OF CONTENTS

<TABLE>
<CAPTION>
<S>                                                                                 <C>
1.      DEFINITIONS..............................................................    2

2.      EXERCISE OF WARRANT......................................................    7
        2.1   Manner of Exercise.................................................    7
        2.2   Payment of Taxes...................................................    8
        2.3   Fractional Shares..................................................    9
        2.4   Reduced Exercise Price.............................................    9

3.      TRANSFER, DIVISION AND COMBINATION.......................................    9
        3.1   Transfer...........................................................    9
        3.2   Division and Combination...........................................    9
        3.3   Expenses...........................................................   10
        3.4   Maintenance of Books...............................................   10

4.      ANTIDILUTION PROVISIONS..................................................   10
        4.1   Upon Issuance of Common Stock......................................   10
        4.2   Upon Acquisition of Common Stock...................................   11
        4.3   Provisions Applicable to Adjustments...............................   11
        4.4   Upon Stock Dividends or Splits.....................................   13
        4.5   Upon Combinations..................................................   13
        4.6   Upon Reclassifications, Reorganizations, Consolidations or Mergers.   13
        4.7   Deferral in Certain Circumstances .................................   14
        4.8   Other Anti-Dilution Provisions.....................................   14
        4.9   Appraisal Procedure ...............................................   14
        4.10  Adjustment of Number of Shares Purchasable ........................   14
        4.11  Exceptions.........................................................   14
        4.12  Notice of Adjustment of Exercise Price ............................   15

5.      NO IMPAIRMENT; REGULATORY COMPLIANCE AND
        COOPERATION; NOTICE OF EXPIRATION........................................   15

6.      RESERVATION AND AUTHORIZATION OF COMMON STOCK;
        REGISTRATION WITH OR APPROVAL OF ANY GOVERNMENTAL
        AUTHORITY ...............................................................   16

7.      NOTICE OF CORPORATE ACTIONS; TAKING OF RECORD;
        TRANSFER BOOKS ..........................................................   16
        7.2 Taking of Record ....................................................   17
        7.3 Closing of Transfer Books ...........................................   17
</TABLE>

                                      -i-
<PAGE>

<TABLE>
<S>                                                                                  <C>
8.      TRANSFER RESTRICTIONS.....................................................   17
        8.1 Restrictions on Transfers.............................................   17
        8.2 Restrictive Legends...................................................   18
        8.3 Termination of Securities Law Restrictions............................   19

9.      LOSS OR MUTILATION........................................................   19

10.     OFFICE OF THE COMPANY.....................................................   20

11.     FINANCIAL AND BUSINESS INFORMATION........................................   20

12.     DILUTION FEE..............................................................   22

13.     MISCELLANEOUS.............................................................   22
        13.1  Nonwaiver...........................................................   22
        13.2  Notice Generally....................................................   22
        13.3  Indemnification.....................................................   23
        13.4  Limitation of Liability.............................................   23
        13.5  Remedies............................................................   23
        13.6  Successors and Assigns..............................................   23
        13.7  Amendment...........................................................   23
        13.8  Severability........................................................   24
        13.9  Headings............................................................   24
        13.10 GOVERNING LAW; JURISDICTION.........................................   24

ANNEX A

        SUBSCRIPTION FORM.........................................................   26

ANNEX B

        ASSIGNMENT FORM...........................................................   27
</TABLE>

                                     -ii-
<PAGE>

     NEITHER THIS WARRANT NOR ANY OF THE SECURITIES ISSUABLE UPON EXERCISE
     HEREOF HAVE BEEN REGISTERED UNDER THE SECURITIES ACT OF 1933, AS AMENDED
     (THE "ACT"), OR ANY STATE SECURITIES LAW.  THE WARRANTS REPRESENTED BY THIS
     CERTIFICATE AND THE SECURITIES ISSUABLE UPON EXERCISE HEREOF MAY NOT BE
     TRANSFERRED, SOLD, ASSIGNED, EXCHANGED, MORTGAGED, PLEDGED, HYPOTHECATED OR
     OTHERWISE DISPOSED OF OR ENCUMBERED WITHOUT COMPLIANCE WITH THE PROVISIONS
     OF, AND ARE OTHERWISE RESTRICTED BY THE PROVISIONS OF, THE ACT, THE RULES
     AND REGULATIONS THEREUNDER AND THIS WARRANT.



                                                Warrant No. [___]


                                  SERIES 1-A
                                    WARRANT

                    TO PURCHASE ____ SHARES OF COMMON STOCK
                          (SUBJECT TO ADJUSTMENT) OF

                            RARE MEDIUM GROUP, INC.


          THIS IS TO CERTIFY THAT APOLLO INVESTMENT FUND IV, L.P., or its
registered assigns, is entitled, at any time prior to the Expiration Date (such
term, and certain other capitalized terms used herein being hereinafter
defined), to purchase from RARE MEDIUM GROUP, INC., a Delaware corporation (the
"Company"), thirteen and one-half (13.5) shares of the Common Stock of the
 -------
Company (subject to adjustment as provided herein), at a purchase price per
share (the initial "Exercise Price", subject to adjustment as provided herein)
                    --------------
set forth in the table below (or, if the Fair Value falls between any of the
prices in the left column, then the Exercise Price will be calculated by linear
interpolation between the corresponding prices in the right column):

          FAIR VALUE OF ONE
          SHARE OF COMMON
          STOCK ON EXERCISE DATE         EXERCISE PRICE
          ----------------------         --------------
               $4.00 or less                  $4.20
               $5.00                          $3.59
               $6.00                          $1.61
               $7.00 or more                  $0.01
<PAGE>

 1.  DEFINITIONS
     -----------

          As used in this Warrant, the following terms have the respective
meanings set forth below:

          "Affiliate" of any Person means any other Person (a) which directly or
indirectly through one or more intermediaries controls, or is controlled by, or
is under common control with such Person.  The term "control" (including the
terms "controlled by" and "under common control with") as used with respect to
any Person means the possession, directly or indirectly, of the power to direct
or cause the direction of the management and policies of such Person, whether
through the ownership of voting securities, by contract or otherwise.

          "After-Tax Basis" when referring to a payment that is required
hereunder (the "target amount"), shall mean a total payment (the "total amount")
that, after deduction of all federal, state and local taxes that are required to
be paid by the recipient in respect of the receipt or accrual of such total
amount, is equal to the target amount.

          "Agreed Rate" shall mean the rate of interest announced publicly by
Citibank, N.A. in New York, New York, from time to time, as Citibank, N.A.'s
base rate.

          "Appraisal Procedure" if applicable, shall mean the following
procedure to determine the fair market value, as to any security, for purposes
of the definition of "Fair Value" or the fair market value, as to any other
property (in either case, the "valuation amount").  So long as Apollo Investment
Fund IV, L.P. or any of its Affiliates (the "Apollo Stockholders") beneficially
                                             -------------------
own sufficient Warrants to constitute the Majority Warrant Holders, the
valuation amount shall be determined in good faith jointly by the Board of
Directors and the Majority Warrant Holders; provided, however, that if such
                                            --------  -------
parties are not able to agree on the valuation amount within a reasonable period
of time (not to exceed twenty (20) days) the valuation amount shall be
determined by an investment banking firm of national recognition, which firm
shall be reasonably acceptable to the Board of Directors and the Majority
Warrant Holders.  If the Board of Directors and the Majority Warrant Holders are
unable to agree upon an acceptable investment banking firm within ten (10) days
after the date either party proposed that one be selected, the investment
banking firm will be selected by an arbitrator located in New York City, New
York, selected by the American Arbitration Association (or if such organization
ceases to exist, the arbitrator shall be chosen by a court of competent
jurisdiction).  The arbitrator shall select the investment banking firm (within
ten (10) days of his appointment) from a list, jointly prepared by the Board of
Directors and the Majority Warrant Holders, of not more than six investment
banking firms of national standing in the United States, of which no more than
three may be named by the Board of Directors and no more than three may be named
by the Majority Warrant Holders.  The arbitrator may consider, within the ten-
day period allotted, arguments from the parties regarding which investment
banking firm to choose, but the selection by the arbitrator shall be made in its
sole discretion from the list of six.  The Board of Directors and the Majority
Warrant Holders shall submit their respective valuations and other relevant data
to the investment

                                       2
<PAGE>

banking firm, and the investment banking firm shall as soon as practicable
thereafter make its own determination of the valuation amount. The final
valuation amount for purposes hereof shall be the average of the two valuation
amounts closest together, as determined by the investment banking firm, from
among the valuation amounts submitted by the Company and the Majority Warrant
Holders and the valuation amount calculated by the investment banking firm. The
determination of the final valuation amount by such investment-banking firm
shall be final and binding upon the parties. The Company shall pay the fees and
expenses of the investment banking firm and arbitrator (if any) used to
determine the valuation amount. If required by any such investment banking firm
or arbitrator, the Company shall execute a retainer and engagement letter
containing reasonable terms and conditions, including, without limitation,
customary provisions concerning the rights of indemnification and contribution
by the Company in favor of such investment banking firm or arbitrator and its
officers, directors, partners, employees, agents and Affiliates. If the Apollo
Stockholders no longer constitute the Majority Warranty Holders, the valuation
amount shall be determined in good faith by the Board of Directors.

          "Appraised Value" per share of Common Stock as of a date specified
herein shall mean the value of such a share as of such date as determined by an
investment bank of nationally recognized standing selected by the Majority
Warrant Holders and reasonably acceptable to the Company.  If the investment
bank selected by the Majority Warrant Holders is not reasonably acceptable to
the Company, and the Company and the Majority Warrant Holders cannot agree on a
mutually acceptable investment bank, then the Company and the Majority Warrant
Holders shall each choose one such investment bank and the respective chosen
firms shall jointly select a third investment bank, which shall make the
determination.  The Company shall pay the costs and fees of each such investment
bank (including any such investment bank selected by the Majority Warrant
Holders), and the decision of the investment bank making such determination of
Appraised Value shall be final and binding on the Company and all affected
holders of Warrants or Warrant Stock.  Such Appraised Value shall be determined
as a pro rata portion of the value of the Company taken as a whole, based on the
higher of (A) the value derived from a hypothetical sale of the entire Company
as a going concern by a willing seller to a willing buyer (neither acting under
any compulsion) and (B) the liquidation value of the entire Company.  No
discount shall be applied on account of (i) any Warrants or Warrant Stock
representing a minority interest, (ii) any lack of liquidity of the Common Stock
or the Warrants, (iii) the fact that the Warrants or Warrant Stock may
constitute "restricted securities" for securities law purposes, (iv) the
existence of any call option or (v) any other grounds.

          "Book Value" per share of Common Stock as of a date specified herein
shall mean the consolidated book value of the Company and its Subsidiaries as of
such date divided by the number of shares of Common Stock Outstanding on such
date.  Such book value shall be determined in accordance with GAAP, except that
there shall be no reduction in such book value by reason of any amount that may
be required either as an offset to or reserve against retained earnings or as a
deduction from book value as a result of the issuance, existence, anticipated
exercise of, or anticipated cost to the Company of the repurchase of, any of the
Warrants.

                                       3
<PAGE>

          "Business Day" shall mean any day that is not a Saturday or Sunday or
a day on which banks are required or permitted to be closed in the State of New
York.

          "Commission" shall mean the Securities and Exchange Commission or any
other federal agency then administering the Securities Act and other federal
securities laws.

          "Common Stock" shall mean the Common Stock of the Company, par value
$0.01 per share, as constituted on the Original Issue Date, and any capital
stock into which such Common Stock may thereafter be changed, and shall also
include (i) capital stock of the Company of any other class (regardless of how
denominated) issued to the holders of shares of any Common Stock upon any
reclassification thereof which is also not preferred as to dividends or
liquidation over any other class of stock of the Company and which is not
subject to redemption and (ii) shares of common stock of any successor or
acquiring corporation (as defined in Section 4.6 hereof) received by or
distributed to the holders of Common Stock of the Company in the circumstances
contemplated by Section 4.6 hereof.

          "Company" means Rare Medium Group, Inc., a Delaware corporation, and
any successor corporation.

          "Current Market Price" shall mean as of any specified date the average
of the daily market price of one share of the Common Stock for the shorter of
(x) the twenty (20) consecutive Business Days immediately preceding such date or
(y) the period commencing on the Business Day next following the first public
announcement by the Company of any event giving rise to an adjustment of the
Exercise Price pursuant to Section 4 below and ending on such date.  The "daily
market price" of one share of Common Stock for each such Business Day shall be:
(i) if the Common Stock is then listed on a national securities exchange or is
listed on NASDAQ and is designated as a National Market System security, the
last sale price of one share of Common Stock, regular way, on such day on the
principal stock exchange or market system on which such Common Stock is then
listed or admitted to trading, or, if no such sale takes place on such day, the
average of the closing bid and asked prices for one share of Common Stock on
such day as reported on such stock exchange or market system or (ii) if the
Common Stock is not then listed or admitted to trading on any national
securities exchange or designated as a National Market System security on NASDAQ
but is traded over-the-counter, the average of the closing bid and asked prices
for one share of Common Stock as reported on NASDAQ or the Electronic Bulletin
Board or in the National Daily Quotation Sheets, as applicable.

          "Designated Office" shall have the meaning set forth in Section 10
hereof.

          "Dilution Fee" shall have the meaning set forth in Section 14 hereof.

          "Exchange Act" shall mean the Securities Exchange Act of 1934, as
amended, and the rules and regulations of the Commission thereunder, all as the
same shall be in effect from time to time.

                                       4
<PAGE>

          "Excluded Stock" shall have the meaning set forth in Section 4.11
hereof.

          "Exercise Date" shall have the meaning set forth in Section 2.1
hereof.

          "Exercise Notice" shall have the meaning set forth in Section 2.1
hereof.

          "Exercise Period" shall mean the period during which this Warrant is
exercisable pursuant to Section 2.1 hereof.

          "Exercise Price" shall mean, in respect of a share of Common Stock at
any date herein specified, the initial Exercise Price set forth in the preamble
of this Warrant as adjusted from time to time pursuant to Sections 2.4 and 4
hereof.

          "Expiration Date" shall mean the tenth anniversary of the Original
Issue Date.

          "Fair Value" per share of Common Stock as of any specified date shall
mean (A) if the Common Stock is publicly traded on such date, the Current Market
Price per share or (B) if the Common Stock is not publicly traded on such date,
(1) the fair market value per share of Common Stock as determined in good faith
by the Board of Directors of the Company and set forth in a written notice to
each Holder or (2) if the Majority Warrant Holders object in writing to such
price as determined by the Board of Directors within thirty (30) days after
receiving notice of same, the Appraised Value per share as of such date.

          "GAAP" shall mean generally accepted accounting principles in the
United States of America as from time to time in effect.

          "Holder" shall mean (a) with respect to this Warrant, the Person in
whose name the Warrant set forth herein is registered on the books of the
Company maintained for such purpose and (b) with respect to any other Warrant or
shares of Warrant Stock, the Person in whose name such Warrant or Warrant Stock
is registered on the books of the Company maintained for such purpose.

          "Lien" shall mean any mortgage or deed of trust, pledge,
hypothecation, assignment, deposit arrangement, lien, charge, claim, security
interest, easement or encumbrance, or preference, priority or other security
agreement or preferential arrangement of any kind or nature whatsoever
(including, without limitation, any lease or title retention agreement, any
financing lease having substantially the same economic effect as any of the
foregoing, and the filing of, or agreement to give, any financing statement
perfecting a security interest under the Uniform Commercial Code or comparable
law of any jurisdiction).

          "Majority Warrant Holders", with respect to a given determination,
shall mean the Holders of Warrants representing more than fifty percent (50%) of
all then outstanding Warrants.

                                       5
<PAGE>

          "NASD" shall mean the National Association of Securities Dealers,
Inc., or any successor corporation thereto.

          "NASDAQ" shall mean the NASDAQ quotation system, or any successor
reporting system.

          "Opinion of Counsel" means a written opinion of outside counsel
experienced in Securities Act matters chosen by the Holder of this Warrant or
Warrant Stock issued upon the exercise hereof and reasonably acceptable to the
Company.

          "Original Issue Date" shall mean the date on which this Warrant was
issued, as set forth on the cover page of this Warrant.

          "Original Warrants" shall mean the Warrants originally issued by the
Company on June 4, 1999 to the Apollo Stockholders.

          "Outside Date" shall mean the date which is 120 days after the
Original Issue Date.

          "Outstanding" shall mean, when used with reference to Common Stock, at
any date as of which the number of shares thereof is to be determined, all
issued shares of Common Stock, except shares then owned or held by or for the
account of the Company or any Subsidiary, and shall include all shares issuable
in respect of outstanding scrip or any certificates representing fractional
interests in shares of Common Stock.

          "Person" shall mean any individual, sole proprietorship, partnership,
limited liability company, joint venture, trust, incorporated organization,
association, corporation, institution, public benefit corporation, entity or
government (whether federal, state, county, city, municipal or otherwise,
including, without limitation, any instrumentality, division, agency, body or
department thereof).

          "Restricted Common Stock" shall mean shares of Common Stock which are,
or which upon their issuance on the exercise of this Warrant would be, evidenced
by a certificate bearing the restrictive legend set forth in Section 8.2(a)
hereof.

          "Securities Act" shall mean the Securities Act of 1933, as amended,
and the rules and regulations of the Commission thereunder, all as the same
shall be in effect at the time.

          "Series A Preferred Stock" shall mean the Series A Convertible
Preferred Stock of the Company.

          "Series B Preferred Stock" shall mean the Series B Preferred Stock of
the Company.

                                       6
<PAGE>

          "Share Withholding Option" has the meaning set forth in Section 2.1
hereof.

          "Subsidiary" shall mean any corporation, association or other business
entity (i) at least 50% of the outstanding voting securities of which are at the
time owned or controlled directly or indirectly by the Company; or (ii) with
respect to which the Company possesses, directly or indirectly, the power to
direct or cause the direction of the affairs or management of such person.

          "Transfer" shall mean any disposition of any Warrant or Warrant Stock
or of any interest therein, which would constitute a "sale" thereof or a
transfer of a beneficial interest therein within the meaning of the Securities
Act.

          "Warrant Price" shall mean an amount equal to (i) the number of shares
of Common Stock being purchased upon exercise of this Warrant pursuant to
Section 2.1 hereof, multiplied by (ii) the Exercise Price as of the date of such
exercise.

          "Warrants" shall mean the Original Warrants and all warrants issued
upon transfer, division or combination of, or in substitution for, such Original
Warrants, and any additional Warrants issued together with shares of Series A
Preferred Stock paid as dividends, or any other such Warrant.  All Warrants
shall at all times be identical as to terms and conditions, except as to the
number of shares of Common Stock for which they may be exercised and their date
of issuance.

          "Warrant Stock" generally shall mean the shares of Common Stock
issued, issuable or both (as the context may require) upon the exercise of
Warrants.


 2.  EXERCISE OF WARRANT
     -------------------

          2.1  Manner of Exercise.  (a)  From and after the Original Issue Date
               ------------------
and until 5:00 P.M., New York time, on the Expiration Date, the Holder of this
Warrant may from time to time exercise this Warrant, on any Business Day, for
all or any part of the number of shares of Common Stock purchasable hereunder
(as determined pursuant to Section 2.2 below).  In order to exercise this
Warrant, in whole or in part, the Holder shall (i) deliver to the Company at its
Designated Office a written notice of the Holder's election to exercise this
Warrant (an "Exercise Notice"), which Exercise Notice shall be irrevocable and
             ---------------
specify the number of shares of Common Stock to be purchased, together with this
Warrant and (ii) pay to the Company the Warrant Price (the date on which both
such delivery and payment shall have first taken place being hereinafter
sometimes referred to as the "Exercise Date").  Such Exercise Notice shall be in
                              -------------
the form of the subscription form appearing at the end of this Warrant as Annex
                                                                          -----
A, duly executed by the Holder or its duly authorized agent or attorney.
- -

                                       7
<PAGE>

          (b)  Upon receipt by the Company of such Exercise Notice, Warrant and
payment, the Company shall, as promptly as practicable, and in any event within
five (5) Business Days thereafter, execute (or cause to be executed) and deliver
(or cause to be delivered) to the Holder a certificate or certificates
representing the aggregate number of full shares of Common Stock issuable upon
such exercise, together with cash in lieu of any fraction of a share, as
hereafter provided.  The stock certificate or certificates so delivered shall
be, to the extent possible, in such denomination or denominations as the
exercising Holder shall reasonably request in the Exercise Notice and shall be
registered in the name of the Holder or, subject to Section 8 below, such other
name as shall be designated in the Exercise Notice.  This Warrant shall be
deemed to have been exercised and such certificate or certificates shall be
deemed to have been issued, and the Holder or any other Person so designated to
be named therein shall be deemed to have become a holder of record of such
shares for all purposes, as of the Exercise Date.

          (c)  Payment of the Warrant Price shall be made at the option of the
Holder by one or more of the following methods: (i) by delivery of a certified
or official bank check in the amount of such Warrant Price payable to the order
of the Company, (ii) by instructing the Company to withhold a number of shares
of Warrant Stock then issuable upon exercise of this Warrant with an aggregate
Fair Value equal to such Warrant Price (the "Share Withholding Option"), or
                                             ------------------------
(iii) by surrendering to the Company shares of Common Stock previously acquired
by the Holder with an aggregate Fair Value equal to such Warrant Price.  In the
event of any withholding of Warrant Stock or surrender of Common Stock pursuant
to clause (ii) or (iii) above where the number of shares whose Fair Value is
equal to the Warrant Price is not a whole number, the number of shares withheld
by or surrendered to the Company shall be rounded up to the nearest whole share
and the Company shall make a cash payment to the Holder based on the incremental
fraction of a share being so withheld by or surrendered to the Company in an
amount determined in accordance with Section 2.3 hereof.

          (d)  If this Warrant shall have been exercised in part, the Company
shall, at the time of delivery of the certificate or certificates representing
the shares of Common Stock being issued, deliver to the Holder a new Warrant
evidencing the rights of the Holder to purchase the unpurchased shares of Common
Stock called for by this Warrant.  Such new Warrant shall in all other respects
be identical to this Warrant.  Notwithstanding any provision herein to the
contrary, the Company shall not be required to register shares of Common Stock
in the name of any Person who acquired this Warrant (or part hereof) or any
shares of Warrant Stock otherwise than in accordance with this Warrant.

          (e)  All Warrants delivered for exercise shall be canceled by the
Company.

          2.2 Payment of Taxes.  All shares of Common Stock issuable upon the
              ----------------
exercise of this Warrant pursuant to the terms hereof shall be validly issued,
fully paid and nonassessable, issued without violation of any preemptive rights
and free and clear of all Liens (other than any created by actions of the
Holder).  The Company shall pay all expenses in connection with, and all taxes
and other governmental charges that may be imposed with respect to, the issue or
delivery

                                       8
<PAGE>

thereof, unless such tax or charge is imposed by law upon the Holder, in which
case such taxes or charges shall be paid by the Holder and the Company shall
reimburse the Holder therefor on an After-Tax Basis. The Company shall not,
however, be required to pay any tax or governmental charge which may be issuable
upon exercise of this Warrant payable in respect of any Transfer involved in the
issue and delivery of shares of Common Stock in a name other than that of the
holder of the Warrants to be exercised, and no such issue or delivery shall be
made unless and until the Person requesting such issue has paid to the Company
the amount of any such tax, or has established to the satisfaction of the
Company that such tax has been paid.

          2.3  Fractional Shares.  The Company shall not be required to issue a
               -----------------
fractional share of Common Stock upon exercise of any Warrant.  As to any
fraction of a share that the Holder of one or more Warrants, the rights under
which are exercised in the same transaction, would otherwise be entitled to
purchase upon such exercise, the Company shall pay to such Holder an amount in
cash equal to such fraction multiplied by (i) the Current Market Price of one
share of Common Stock on the Exercise Date, if the Common Stock is then publicly
traded, or (ii) the Book Value per share of Common Stock based on the most
recent available consolidated balance sheet of the Company, if the Common Stock
is not then publicly traded.

          2.4  Reduced Exercise Price.  On the Outside Date, in the event that
               ----------------------
the Company shall not have obtained the approval of its stockholders of the
conversion of the Series B Preferred Stock to Series A Preferred Stock, the
Exercise Price herein shall be reduced to $0.01.


 3.  TRANSFER, DIVISION AND COMBINATION
     ----------------------------------

          3.1  Transfer.  Subject to compliance with Section 8 hereof, each
               --------
transfer of this Warrant and all rights hereunder, in whole or in part, shall be
registered on the books of the Company to be maintained for such purpose, upon
surrender of this Warrant at the Designated Office, together with a written
assignment of this Warrant in the form of Annex B hereto duly executed by the
                                          -------
Holder or its agent or attorney and funds sufficient to pay any transfer taxes
described in Section 2.2 in connection with the making of such transfer.  Upon
such surrender and delivery and, if required, such payment, the Company shall,
subject to Section 8, execute and deliver a new Warrant or Warrants in the name
of the assignee or assignees and in the denominations specified in such
instrument of assignment, and shall issue to the assignor a new Warrant
evidencing the portion of this Warrant not so assigned and this Warrant shall
promptly be cancelled.  A Warrant, if properly assigned in compliance with
Section 8, may be exercised by the new Holder for the purchase of shares of
Common Stock without having a new Warrant issued.

          3.2  Division and Combination.  Subject to compliance with the
               ------------------------
applicable provisions of this Warrant including, without limitation, Section 8,
this Warrant may be divided or combined with other Warrants upon presentation
hereof at the Designated Office, together with a written notice specifying the
names and denominations in which new Warrants are to be issued, signed by the
Holder or its agent or attorney.  Subject to compliance with the applicable

                                       9
<PAGE>

provisions of this Warrant as to any transfer which may be involved in such
division or combination, the Company shall execute and deliver a new Warrant or
Warrants in exchange for the Warrant or Warrants to be divided or combined in
accordance with such notice.

          3.3  Expenses.  The Company shall prepare, issue and deliver at its
               --------
own expense (other than pursuant to Section 2.2 hereof) any new Warrant or
Warrants required to be issued under this Section 3.

          3.4  Maintenance of Books.  The Company agrees to maintain, at the
               --------------------
Designated Office, books for the registration and transfer of the Warrants.


 4.  ANTIDILUTION PROVISIONS
     -----------------------

          The number of shares of Common Stock for which this Warrant is
exercisable and the Exercise Price shall be subject to adjustment from time to
time as set forth in this Section 4.

          4.1  Upon Issuance of Common Stock.  If the Company shall, at any time
               -----------------------------
or from time to time after the Original Issuance Date, issue any shares of
Common Stock, options to purchase or rights to subscribe for Common Stock,
securities by their terms convertible into or exchangeable for Common Stock, or
options to purchase or rights to subscribe for such convertible or exchangeable
securities, other than shares of Series A Preferred Stock, Series B Preferred
Stock or Excluded Stock, without consideration or for consideration per share
less than either (x) the Exercise Price or (y) the Fair Value of the Common
Stock, in effect immediately prior to the issuance of such Common Stock or
securities, then such Exercise Price shall forthwith be lowered to a price equal
to the price obtained by multiplying:

                    (i)  the Exercise Price in effect immediately prior to the
     issuance of such Common Stock or securities by

                    (ii) a fraction of which (x) the denominator shall be the
     number of shares of Common Stock outstanding on a fully-diluted basis
     immediately after such issuance and (y) the numerator shall be the sum of
     (i) the number of shares of Common Stock outstanding on a fully-diluted
     basis immediately prior to the date of such issuance and (ii) the number of
     additional shares of Common Stock which the aggregate consideration for the
     number of shares of Common Stock so offered would purchase at the greater
     of the Exercise Price or the Fair Value per share of Common Stock.

          For purposes of this Section 4, "fully diluted basis" shall be
determined in accordance with the treasury method of GAAP.

                                       10
<PAGE>

          4.2  Upon Acquisition of Common Stock.  If the Company or any
               --------------------------------
Subsidiary shall, at any time or from time to time after the Original Issuance
Date, directly or indirectly, redeem, purchase or otherwise acquire any shares
of Common Stock, options to purchase or rights to subscribe for Common Stock,
securities by their terms convertible into or exchangeable for Common Stock
(other than shares of Series A Preferred Stock or Series B Preferred Stock that
are redeemed according to their terms), or options to purchase or rights to
subscribe for such convertible or exchangeable securities, for a consideration
per share greater than the Fair Value (plus, in the case of such options,
rights, or securities, the additional consideration required to be paid to the
Company upon exercise, conversion or exchange) for shares of Common Stock in
effect immediately prior to such event, then the Exercise Price shall forthwith
be lowered to a price equal to the price obtained by multiplying:

                    (i)  the Exercise Price in effect immediately prior to such
     event by

                    (ii) a fraction of which (x) the denominator shall be the
     Fair Value per share of Common Stock immediately prior to such event and
     (y) the numerator shall be the result of dividing:

                        (A)   (1) the product of (a) the number of shares of
                              Common Stock outstanding on a fully-diluted basis
                              and (b) the Fair Value per share of Common Stock,
                              in each case immediately prior to such event,
                              minus (2) the aggregate consideration paid by the
                              Company in such event (plus, in the case of such
                              options, rights, or convertible or exchangeable
                              securities, the aggregate additional consideration
                              to be paid by the Company upon exercise,
                              conversion or exchange), by

                         (B)  the number of shares of Common Stock outstanding
                              on a fully-diluted basis immediately after such
                              event.

          4.3  Provisions Applicable to Adjustments.  For the purposes of any
               ------------------------------------
adjustment of an Exercise Price pursuant to Sections 4.1 and 4.2, the following
provisions shall be applicable:

                    (i)  In the case of the issuance of Common Stock for cash in
          a public offering or private placement, the consideration shall be
          deemed to be the amount of cash paid therefor before deducting
          therefrom any discounts, commissions or placement fees payable by the
          Company to any underwriter or placement agent in connection with the
          issuance and sale thereof.

                    (ii) In the case of the issuance of Common Stock for a
          consideration in whole or in part other than cash, the consideration
          other than cash shall be deemed

                                       11
<PAGE>

          to be the Fair Value thereof as determined in accordance with the
          Appraisal Procedure.

                    (iii) In the case of the issuance of options to purchase or
          rights to subscribe for Common Stock, securities by their terms
          convertible into or exchangeable for Common Stock, or options to
          purchase or rights to subscribe for such convertible or exchangeable
          securities, except for shares of Series A Preferred Stock, shares of
          Series B Preferred Stock and options to acquire Excluded Stock:

                          (A) the aggregate maximum number of shares of Common
                              Stock deliverable upon exercise of such options to
                              purchase or rights to subscribe for Common Stock
                              shall be deemed to have been issued at the time
                              such options or rights were issued and for a
                              consideration equal to the consideration
                              (determined in the manner provided in
                              subparagraphs (i) and (ii) above), if any,
                              received by the Company upon the issuance of such
                              options or rights plus the minimum purchase price
                              provided in such options or rights for the Common
                              Stock covered thereby;

                          (B) the aggregate maximum number of shares of Common
                              Stock deliverable upon conversion of or in
                              exchange of any such convertible or exchangeable
                              securities or upon the exercise of options to
                              purchase or rights to subscribe for such
                              convertible or exchangeable securities and
                              subsequent conversion or exchange thereof shall be
                              deemed to have been issued at the time such
                              securities, options, or rights were issued and for
                              a consideration equal to the consideration
                              received by the Company for any such securities
                              and related options or rights (excluding any cash
                              received on account of accrued interest or accrued
                              dividends), plus the additional consideration, if
                              any, to be received by the Company upon the
                              conversion or exchange of such securities or the
                              exercise of any related options or rights (the
                              consideration in each case to be determined in the
                              manner provided in paragraphs (i) and (ii) above)
                              and

                          (C) on any change in the number of shares or exercise
                              price of Common Stock deliverable upon exercise of
                              any such options or rights or conversions of or
                              exchanges for such securities, other than a change
                              resulting from the antidilution provisions
                              thereof, the applicable Exercise Price

                                       12
<PAGE>

                              shall forthwith be readjusted to such Exercise
                              Price as would have been obtained had the
                              adjustment made upon the issuance of such options,
                              rights or securities not converted prior to such
                              change or options or rights related to such
                              securities not converted prior to such change been
                              made upon the basis of such change.

                          (D) No further adjustment of the Exercise Price
                              adjusted upon the issuance of any such options,
                              rights, convertible securities or exchangeable
                              securities shall be made as a result of the actual
                              issuance of Common Stock on the exercise of any
                              such rights or options or any conversion or
                              exchange of any such securities.

          4.4  Upon Stock Dividends or Splits.  If, at any time after the
               ------------------------------
Original Issuance Date, the number of shares of Common Stock outstanding is
increased by a stock dividend payable in shares of Common Stock or by a
subdivision or split-up of shares of Common Stock, then, following the record
date for the determination of holders of Common Stock entitled to receive such
stock dividend, or to be affected by such subdivision or split-up, the Exercise
Price shall be appropriately decreased so that the number of shares of Common
Stock purchasable on exercise of the Warrants shall be increased in proportion
to such increase in outstanding shares.

          4.5  Upon Combinations.  If, at any time after the Original Issuance
               -----------------
Date, the number of shares of Common Stock outstanding is decreased by a
combination of the outstanding shares of Common Stock into a smaller number of
shares of Common Stock, then, following the record date to determine shares
affected by such combination, the Exercise Price shall be appropriately
increased so that the number of shares of Common Stock purchasable on exercise
of each of the Warrants shall be decreased in proportion to such decrease in
outstanding shares.

          4.6  Upon Reclassifications, Reorganizations, Consolidations or
               ----------------------------------------------------------
Mergers.  In the event of any capital reorganization of the Company, any
- -------
reclassification of the stock of the Company (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 stock dividend or subdivision, split-up or combination of shares),
or any consolidation or merger of the Company with or into another corporation
(where the Company is not the surviving corporation or where there is a change
in or distribution with respect to the Common Stock), each Warrant shall after
such reorganization, reclassification, consolidation, or merger be exercisable
for the kind and number of shares of stock or other securities or property of
the Company or of the successor corporation resulting from such consolidation or
surviving such merger, if any, to which the holder of the number of shares of
Common Stock deliverable (immediately prior to the time of such reorganization,
reclassification, consolidation or merger) upon exercise of such Warrant would
have been entitled upon such reorganization, reclassification, consolidation or
merger.  The provisions of this clause shall similarly apply to successive
reorganizations, reclassifications, consolidations, or mergers.

                                       13
<PAGE>

          4.7  Deferral in Certain Circumstances.  In any case in which the
               ---------------------------------
provisions of this Section 4 shall require that an adjustment shall become
effective immediately after a record date of an event, the Company may defer
until the occurrence of such event issuing to the holder of any Warrant
exercised after such record date and before the occurrence of such event the
shares of capital stock issuable upon such exercise by reason of the adjustment
required by such event and issuing to such holder only the shares of capital
stock issuable upon such exercise before giving effect to such adjustments;
provided, however, that the Company shall deliver to such holder an appropriate
- --------  -------
instrument or due bills evidencing such holder's right to receive such
additional shares.

          4.8  Other Anti-Dilution Provisions.  If the Company has issued or
               ------------------------------
issues any securities on or after the Original Issuance Date containing
provisions protecting the holder or holders thereof against dilution in any
manner more favorable to such holder or holders thereof than those set forth in
this Section 4, such provisions (or any more favorable portion thereof) shall be
deemed to be incorporated herein as if fully set forth in this Warrant and, to
the extent inconsistent with any provision of this Warrant, shall be deemed to
be substituted therefor.

          4.9  Appraisal Procedure.  In any case in which the provisions of this
               -------------------
Section 4 shall necessitate that the Appraisal Procedure be utilized for
purposes of determining an adjustment to the Exercise Price, the Company may
defer until the completion of the Appraisal Procedure and the determination of
the adjustment (1) issuing to the holder of any Warrant exercised after the date
of the event that requires the adjustment and before completion of the Appraisal
Procedure and the determination of the adjustment, the shares of capital stock
issuable upon such exercise by reason of the adjustment required by such event
and issuing to such holder only the shares of capital stock issuable upon such
exercise before giving effect to such adjustment and (2) paying to such holder
any amount in cash in lieu of a fractional share of capital stock pursuant to
Section 2.3 above; provided, however, that the Company shall deliver to such
                   --------  -------
holder an appropriate instrument or due bills evidencing such holder's right to
receive such additional shares or cash.

          4.10 Adjustment of Number of Shares Purchasable.  Upon any adjustment
               ------------------------------------------
of the Exercise Price as provided in Section 4.1, 4.2, 4.4, 4.5 or 4.6, the
holders of the Warrants shall thereafter be entitled to purchase upon the
exercise thereof, at the Exercise Price resulting from such adjustment, the
number of shares of Common Stock (calculated to the nearest 1/100th of a share)
obtained by multiplying the Exercise Price in effect immediately prior to such
adjustment by the number of shares of Common Stock issuable on the exercise
hereof immediately prior to such adjustment and dividing the product thereof by
the Exercise Price resulting from such adjustment.

          4.11 Exceptions.  Section 4 shall not apply to (i) any issuance of
               ----------
Common Stock upon exercise of any warrants or options (A) outstanding on the
Original Issuance Date or (B) awarded to employees or directors of the Company
pursuant to an employee stock option plan or stock incentive plan approved by
the Board of Directors; (ii) any issuance of securities by

                                       14
<PAGE>

the Company in underwritten public offerings; and (iii) repurchases by the
Company of Common Stock approved by the Board of Directors (collectively, the
"Excluded Stock").
 --------------

          4.12 Notice of Adjustment of Exercise Price.  Whenever the Exercise
               --------------------------------------
Price is adjusted as herein provided:

               (i)   the Company shall compute the adjusted Exercise Price in
          accordance with this Section 4 and shall prepare a certificate signed
          by the Treasurer or Chief Financial Officer of the Company setting
          forth the adjusted Exercise Price and showing in reasonable detail the
          facts upon which such adjustment is based, and such certificate shall
          forthwith be filed at each office or agency maintained for such
          purpose or exercise of Warrants; and

               (ii)  a notice stating that the Exercise Price has been adjusted
          and setting forth the adjusted Exercise Price shall forthwith be
          prepared by the Company, and as soon as practicable after it is
          prepared, such notice shall be mailed by the Company at its expense to
          all Holders at their last addresses as they shall appear in the stock
          register.


5.   NO IMPAIRMENT; REGULATORY COMPLIANCE AND COOPERATION; NOTICE OF EXPIRATION
     --------------------------------------------------------------------------

          (a)  The Company shall not by any action, including, without
limitation, amending its charter documents or through any reorganization,
reclassification, transfer of assets, consolidation, merger, dissolution, issue
or sale of securities or any other similar voluntary action, avoid or seek to
avoid the observance or performance of any of the terms of this Warrant, but
will at all times in good faith assist in the carrying out of all such terms and
in the taking of all such actions as may be necessary or appropriate to protect
the rights of the Holder against impairment. Without limiting the generality of
the foregoing, the Company shall take all such action as may be necessary or
appropriate in order that the Company may validly and legally issue fully paid
and nonassessable shares of Common Stock upon the exercise of this Warrant, free
and clear of all Liens, and shall use its best efforts to obtain all such
authorizations, exemptions or consents from any public regulatory body having
jurisdiction thereof as may be necessary to enable the Company to perform its
obligations under this Warrant.

          (b)  The Company shall deliver to each Holder of Warrants on or before
six months prior to the tenth anniversary of the Original Issue Date, but no
earlier than nine months prior to the tenth anniversary of the Original Issue
Date, advance notice of such tenth anniversary and of the anticipated Expiration
Date.  If the Company fails to fulfill in a timely manner the notice obligation
set forth in the prior sentence, it shall provide such notice as soon as
possible thereafter.

                                       15
<PAGE>

6.   RESERVATION AND AUTHORIZATION OF COMMON STOCK; REGIS TRATION WITH OR
     --------------------------------------------------------------------
     APPROVAL OF ANY GOVERNMENTAL AUTHORITY
     --------------------------------------

          From and after the Original Issue Date, the Company shall at all times
reserve and keep available for issuance upon the exercise of the Warrants such
number of its authorized but unissued shares of Common Stock as will be
sufficient to permit the exercise in full of all outstanding Warrants.  All
shares of Common Stock issuable pursuant to the terms hereof, when issued upon
exercise of this Warrant with payment therefor in accordance with the terms
hereof, shall be duly and validly issued and fully paid and nonassessable, not
subject to preemptive rights and shall be free and clear of all Liens.  Before
taking any action that would result in an adjustment in the number of shares of
Common Stock for which this Warrant is exercisable or in the Exercise Price, the
Company shall obtain all such authorizations or exemptions thereof, or consents
thereto, as may be necessary from any public regulatory body or bodies having
jurisdiction over such action.  If any shares of Common Stock required to be
reserved for issuance upon exercise of Warrants require registration or
qualification with any governmental authority under any federal or state law
(other than under the Securities Act or any state securities law) before such
shares may be so issued, the Company will in good faith and as expeditiously as
possible and at its expense endeavor to cause such shares to be duly registered.


7.   NOTICE OF CORPORATE ACTIONS; TAKING OF RECORD; TRANSFER BOOKS
     -------------------------------------------------------------

          7.1  Notices of Corporate Actions.
               ----------------------------

                 In case:

                 (a) the Company shall take an action or an event shall occur,
          that would require an Exercise Price adjustment pursuant to Section 4;
          or

                 (b) the Company shall grant to the holders of its Common Stock
          rights or warrants to subscribe for or purchase any shares of capital
          stock of any class; or

                 (c) of any reclassification of the Common Stock (other than a
          subdivision or combination of the outstanding shares of Common Stock),
          or of any consolidation, merger or share exchange to which the Company
          is a party and for which approval of any stockholders of the Company
          is required, or of the sale or transfer of all or substantially all of
          the assets of the Company; or

                 (d) of the voluntary or involuntary dissolution, liquidation or
          winding up of the Company; or

                 (e) the Company or any Subsidiary shall commence a tender offer
          for all or a portion of the outstanding shares of Common Stock (or
          shall amend any

                                       16
<PAGE>

          such tender offer to change the maximum number of shares being sought
          or the amount or type of consideration being offered therefor);

then the Company shall cause to be filed at each office or agency maintained for
such purpose, and shall cause to be mailed to all holders at their last
addresses as they shall appear in the stock register, at least 30 days prior to
the applicable record, effective or expiration date hereinafter specified, a
notice stating (x) the date on which a record is to be taken for the purpose of
such dividend, distribution or granting 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
who will be entitled to such dividend, distribution, rights or warrants are to
be determined, (y) the date on which such reclassification, consolidation,
merger, share exchange, sale, transfer, dissolution, liquidation or winding up
is expected to become effective, and the date as of which it is expected that
holders of Common Stock of record shall be entitled to exchange their shares of
Common Stock for securities, cash or other property deliverable upon such
reclassification, consolidation, merger, share exchange, sale, transfer,
dissolution, liquidation or winding up, or (z) the date on which such tender
offer commenced, the date on which such tender offer is scheduled to expire
unless extended, the consideration offered and the other material terms thereof
(or the material terms of the amendment thereto).  Such notice shall also set
forth such facts with respect thereto as shall be reasonably necessary to
indicate the effect of such action on the Exercise Price and the number and kind
or class of shares or other securities or property which shall be deliverable or
purchasable upon the occurrence of such action or deliverable upon exercise of
the Warrants. Neither the failure to give any such notice nor any defect therein
shall affect the legality or validity of any action described in clauses (a)
through (e) of this Section 7.1.

          7.2  Taking of Record.  In the case of all dividends or other
               ----------------
distributions by the Company to the holders of its Common Stock with respect to
which any provision of any Section hereof refers to the taking of a record of
such holders, the Company will in each such case take such a record and will
take such record as of the close of business on a Business Day.

          7.3  Closing of Transfer Books.  The Company shall not at any time,
               -------------------------
except upon dissolution, liquidation or winding up of the Company, close its
stock transfer books or Warrant transfer books so as to result in preventing or
delaying the exercise or transfer of any Warrant.


8.   TRANSFER RESTRICTIONS
     ---------------------

          The Holder, by acceptance of this Warrant, agrees to be bound by the
provisions of this Section 8.

          8.1  Restrictions on Transfers.  Neither this Warrant nor any shares
               -------------------------
of Restricted Common Stock issued upon the exercise hereof shall be transferred,
sold, assigned, exchanged, mortgaged, pledged, hypothecated or otherwise
disposed of or encumbered without compliance with the provisions of, and are
otherwise restricted by the provisions of, the Securities Act, the

                                       17
<PAGE>

rules and regulations thereunder and this Warrant. Each certificate, if any,
evidencing such shares of Restricted Common Stock issued upon any such Transfer,
other than in a public offering pursuant to an effective registration statement,
shall bear the restrictive legend set forth in Section 8.2(a), and each Warrant
issued upon such Transfer shall bear the restrictive legend set forth in Section
8.2(b), unless the Holder delivers to the Company an Opinion of Counsel to the
effect that such legend is not required for the purposes of compliance with the
Securities Act. Holders of the Warrants or the Restricted Common Stock, as the
case may be, shall not be entitled to Transfer such Warrants or such Restricted
Common Stock except in accordance with this Section 8.1.

          8.2  Restrictive Legends.  (a)  Except as otherwise provided in this
               -------------------
Section 8, each certificate for Warrant Stock initially issued upon the exercise
of this Warrant, and each certificate for Warrant Stock issued to any subsequent
transferee of any such certificate, shall be stamped or otherwise imprinted with
two legends in substantially the following forms:

     "THE SHARES REPRESENTED BY THIS CERTIFICATE HAVE NOT BEEN REGISTERED UNDER
     THE SECURITIES ACT OF 1933, AS AMENDED (THE "ACT"), OR ANY STATE SECURITIES
     LAW.  THE SHARES REPRESENTED BY THIS CERTIFICATE MAY NOT BE TRANSFERRED,
     SOLD, ASSIGNED, EXCHANGE, MORTGAGE, PLEDGED, HYPOTHECATED OF OTHERWISE
     DISPOSED OF OR ENCUMBERED WITHOUT COMPLIANCE WITH THE PROVISIONS OF, AND
     ARE OTHERWISE RESTRICTED BY THE PROVISIONS OF, THE ACT AND THE RULES AND
     REGULATIONS THEREUNDER."

     "THE SHARES REPRESENTED BY THIS CERTIFICATE ARE ENTITLED TO THE BENEFIT OF
     AND ARE SUBJECT TO CERTAIN OBLIGATIONS SET FORTH IN A CERTAIN SERIES 1-A
     WARRANT DATED JUNE 4, 1999, ORIGINALLY ISSUED BY RARE MEDIUM GROUP, INC.
     (THE "WARRANT") PURSUANT TO THE EXERCISE OF WHICH SUCH SHARES WERE ISSUED.
     A COPY OF THE WARRANT IS AVAILABLE AT THE EXECUTIVE OFFICES OF THE RARE
     MEDIUM GROUP, INC."

          (b)  Except as otherwise provided in this Section 8, each Warrant
shall be stamped or otherwise imprinted with a legend in substantially the
following form:

     "NEITHER THIS SERIES 1-A WARRANT NOR ANY OF THE SECURITIES ISSUABLE UPON
     EXERCISE HEREOF HAVE BEEN REGISTERED UNDER THE SECURITIES ACT OF 1933, AS
     AMENDED (THE "ACT"), OR ANY STATE SECURITIES LAW.  THE SERIES 1-A WARRANTS
     REPRESENTED BY THIS CERTIFICATE AND THE STOCK ISSUABLE UPON EXERCISE HEREOF
     MAY NOT BE TRANSFERRED, SOLD, ASSIGNED, EXCHANGED, MORTGAGED, PLEDGED,
     HYPOTHECATED OF

                                       18
<PAGE>

     OTHERWISE DISPOSED OF OR ENCUMBERED WITHOUT COMPLIANCE WITH THE PROVISIONS
     OF, AND ARE OTHERWISE RESTRICTED BY THE PROVISIONS OF, THE ACT, THE RULES
     AND REGULATIONS THEREUNDER AND THIS WARRANT."

          8.3  Termination of Securities Law Restrictions.  Notwithstanding the
               ------------------------------------------
foregoing provisions of this Section 8, the restrictions imposed by Section
8.1(b) upon the transferability of the Warrants and the Restricted Common Stock
and the legend requirements of Section 8.2 shall terminate as to any particular
Warrant or shares of Restricted Common Stock when the Company shall have
received from the Holder thereof an Opinion of Counsel to the effect that such
legend is not required in order to ensure compliance with the Securities Act.
Whenever the restrictions imposed by Sections 8.1(b) and 8.2 shall terminate as
to this Warrant, as hereinabove provided, the Holder hereof shall be entitled to
receive from the Company, at the expense of the Company, a new Warrant bearing
the following legend in place of the restrictive legend set forth hereon:

          "THE RESTRICTIONS ON TRANSFERABILITY OF THE WITHIN SERIES 1-A WARRANT
     CONTAINED IN SECTIONS 8.1(b) AND 8.2 HEREOF TERMINATED ON ______________,
     20__, AND ARE OF NO FURTHER FORCE AND EFFECT."

All Warrants issued upon registration of transfer, division or combination of,
or in substitution for, any Warrant or Warrants entitled to bear such legend
shall have a similar legend endorsed thereon.  Whenever the restrictions imposed
by this Section shall terminate as to any share of Restricted Common Stock, as
hereinabove provided, the Holder thereof shall be entitled to receive from the
Company, at the Company's expense, a new certificate representing such Common
Stock not bearing the restrictive legend set forth in Section 8.2(a).


9.   LOSS OR MUTILATION
     ------------------

          Upon receipt by the Company from any Holder of evidence reasonably
satisfactory to it of the ownership of and the loss, theft, destruction or
mutilation of this Warrant and an indemnity reasonably satisfactory to it (it
being understood that the written indemnification agreement of or affidavit of
loss of the Apollo Stockholders, shall be a sufficient indemnity) and, in case
of mutilation, upon surrender and cancellation hereof, the Company will execute
and deliver in lieu hereof a new Warrant of like tenor to such Holder; provided,
                                                                       --------
however, that, in the case of mutilation, no indemnity shall be required if this
- -------
Warrant in identifiable form is surrendered to the Company for cancellation.

                                       19
<PAGE>

10.  OFFICE OF THE COMPANY
     ---------------------

          As long as any of the Warrants remain outstanding, the Company shall
maintain an office or agency, which may be the principal executive offices of
the Company (the "Designated Office"), where the Warrants may be presented for
                  -----------------
exercise, registration of transfer, division or combination as provided in this
Warrant.  Such Designated Office shall initially be the office of the Company at
44 West 18th Street, 6th Floor, New York, New York 10011.  The Company may from
time to time change the Designated Office to another office of the Company or
its agent within the United States by notice given to all registered Holders at
least ten (10) Business Days prior to the effective date of such change.


11.  FINANCIAL AND BUSINESS INFORMATION
     ----------------------------------

          (a)  Financial Reports.
               -----------------

          Until (i) the Company shall no longer be required to deliver financial
reports in connection with the Series A Preferred Stock, or (ii) the Expiration
Date, whichever first occurs, the Company shall furnish to Apollo Investment
Fund IV, L.P. the following:

               (i)   Monthly Reports. As soon as available, but not later than
                     ---------------
     30 days after the end of each fiscal month, a consolidated balance sheet of
     the Company as of the end of such period and consolidated statements of
     income of the Company for such period and for the period commencing at the
     end of the previous fiscal year and ending with the end of such period,
     setting forth in each case in comparative form the corresponding figures
     for the corresponding period of the preceding fiscal year, and including
     comparisons to the budget or business plan and an analysis of the variances
     from the budget or plan, all prepared in accordance with generally accepted
     accounting principals consistently applied (except for the absence of
     footnotes and year-end adjustments).

               (ii)  Quarterly Reports. As soon as available, but not later than
                     -----------------
     45 days after the end of each quarterly accounting period, (A) a
     consolidated balance sheet of the Company as of the end of such period and
     consolidated statements of income, cash flows and changes in shareholders'
     equity for such quarterly accounting period and for the period commencing
     at the end of the previous fiscal year and ending with the end of such
     period, setting forth in each case in comparative form the corresponding
     figures for the corresponding period of the preceding fiscal year, and
     including comparisons to the budget or business plan and an analysis of the
     variances from the budget or plan, all prepared in accordance with
     generally accepted accounting principals consistently applied, subject to
     normal year-end adjustments and the absence of footnote disclosure, and (B)
     a report by management of the Company of the operating and financial
     highlights of the Company and its Subsidiaries for such period, which shall
     include (x) a comparison

                                       20
<PAGE>

     between operating and financial results and budget and (y) an analysis of
     the operations of the Company and its Subsidiaries for such period.

               (iii)  Annual Audit.  As soon as available, but not later than 90
                      ------------
     days after the end of each fiscal year of the Company, audited consolidated
     financial statements of the Company, which shall include statements of
     income, cash flows and changes in shareholders' equity for such fiscal year
     and a balance sheet as of the last day thereof, each prepared in accordance
     with generally accepted accounting principles, consistently applied, and
     accompanied by the report of a "Big 5" firm of independent certified public
     accountants selected by the Company's Board of Directors (the
     "Accountants").  The Company and its Subsidiaries shall maintain a system
      -----------
     of accounting sufficient to enable its Accountants to render the report
     referred to in this Section 11(a)(iii).

               (iv)   Miscellaneous.  Promptly upon becoming available, each of
                      -------------
     the following:

               (A)    copies of all financial statements, reports, press
     releases, notices, proxy statements and other documents sent by the Company
     or its Subsidiaries to its shareholders generally or released to the public
     and copies of all regular and periodic reports, if any, filed by the
     Company or its Subsidiaries with the SEC, any securities exchange or the
     NASD;

               (B)    notification in writing of the existence of any default
     under any material agreement or instrument to which the Company or any of
     its Subsidiaries is a party or by which any of their assets are bound;

               (C)    upon request, copies of all reports prepared for or
     delivered to the management of the Company or its Subsidiaries by its
     accountants; and

               (D)    upon request, any other routinely collected financial or
     other information available to management of the Company or its
     Subsidiaries (including, without limitation, routinely collected
     statistical data).

          (b)  Other Holders. Without duplication of any document or information
               -------------
provided pursuant to this Section 11, the Company shall provide to each Holder
of Warrants or Warrant Stock the following:

               (i)    as soon as available, but not later than 45 days after the
     end of each quarterly accounting period, a Form 10-Q or, if the Company
     does not then file quarterly reports with the SEC, the documents referred
     to in Section 11(a)(ii).

                                       21
<PAGE>

               (ii)   as soon as available, but not later than 90 days after the
     end of each fiscal year, a Form 10-K or, if the Company does not then file
     annual reports with the SEC, the audited consolidated financial statements
     referred to in Section 11(a)(iii).

               (iii)  simultaneously with any distribution of any document to
     the stockholders of the Company generally, any such document so
     distributed.


12.  DILUTION FEE
     ------------

          In the event any dividends are declared with respect to the Common
Stock, the holder of this Warrant as of the record date established by the Board
of Directors for such dividend shall be entitled to receive as a dilution fee
(the "Dilution Fee") an amount (whether in the form of cash, securities or other
      ------------
property) equal to the amount (and in the form) of the dividends that such
holder would have received had this Warrant been exercised for purchase of
Common Stock as of the record date of such dividend, such Dilution Fee to be
payable on the payment date of the dividend established by the Board of
Directors (the "Dilution Fee Payment Date").  The record date for any such
                -------------------------
Dilution Fee shall be the record date for the applicable dividend, and any such
Dilution Fee shall be payable to the persons in whose name this Warrant is
registered at the close of business on the applicable record date.


13.  MISCELLANEOUS
     -------------

          13.1 Nonwaiver.  No course of dealing or any delay or failure to
               ---------
exercise any right hereunder on the part of the Company or the Holder shall
operate as a waiver of such right or otherwise prejudice the rights, powers or
remedies of such Person.

          13.2 Notice Generally.  Any notice, demand, request, consent,
               ----------------
approval, declaration, delivery or communication hereunder to be made pursuant
to the provisions of this Warrant shall be sufficiently given or made if in
writing and either delivered in person with receipt acknowledged or sent by
registered or certified mail, return receipt requested, postage prepaid,
addressed as follows:

          (a)  if to any Holder of this Warrant or of Warrant Stock issued upon
     the exercise hereof, at its last known address appearing on the books of
     the Company maintained for such purpose;

          (b)  if to the Company, at the Designated Office;

or at such other address as may be substituted by notice given as herein
provided.  The giving of any notice required hereunder may be waived in writing
by the party entitled to receive such notice.  Every notice, demand, request,
consent, approval, declaration, delivery or other

                                       22
<PAGE>

communication hereunder shall be deemed to have been duly given or served on the
date on which personally delivered, with receipt acknowledged, or three (3)
Business Days after the same shall have been deposited in the United States
mail, or one (1) Business Day after the same shall have been sent by Federal
Express or another recognized overnight courier service.

          13.3 Indemnification.  If the Company fails to make, when due, any
               ---------------
payments provided for in this Warrant, the Company shall pay to the Holder
hereof (a) interest at the Agreed Rate on any amounts due and owing to such
Holder and (b) such further amounts as shall be sufficient to cover any costs
and expenses including, but not limited to, reasonable attorneys' fees and
expenses incurred by such Holder in collecting any amounts due hereunder.  The
Company shall indemnify, save and hold harmless the Holder hereof and the
Holders of any Warrant Stock issued upon the exercise hereof from and against
any and all liability, loss, cost, damage, reasonable attorneys' and
accountants' fees and expenses, court costs and all other out-of-pocket expenses
incurred in connection with or arising from any default hereunder by the
Company.  This indemnification provision shall be in addition to the rights of
such Holder or Holders to bring an action against the Company for breach of
contract based on such default hereunder.

          13.4 Limitation of Liability.  No provision hereof, in the absence of
               -----------------------
affirmative action by the Holder to purchase shares of Common Stock, and no
enumeration herein of the rights or privileges of the Holder hereof, shall give
rise to any liability of such Holder to pay the Exercise Price for any Warrant
Stock other than pursuant to an exercise of this Warrant or any liability as a
stockholder of the Company, whether such liability is asserted by the Company or
by creditors of the Company.

          13.5 Remedies.  Each Holder of Warrants and/or Warrant Stock, in
               --------
addition to being entitled to exercise its rights granted by law, including
recovery of damages, shall be entitled to specific performance of its rights
provided under this Warrant.  The Company agrees that monetary damages would not
be adequate compensation for any loss incurred by reason of a breach by it of
the provisions of this Warrant and hereby agrees, in an action for specific
performance, to waive the defense that a remedy at law would be adequate.

          13.6 Successors and Assigns.  Subject to the provisions of Sections
               ----------------------
3.1, 8.1 and 8.2, this Warrant and the rights evidenced hereby shall inure to
the benefit of and be binding upon the successors of the Company and the
permitted successors and assigns of the Holder hereof. The provisions of this
Warrant are intended to be for the benefit of all Holders from time to time of
this Warrant and to the extent applicable, all Holders of shares of Warrant
Stock issued upon the exercise hereof (including transferees), and shall be
enforceable by any such Holder.

          13.7 Amendment.  This Warrant and all other Warrants may be modified
               ---------
or amended or the provisions hereof waived with the written consent of the
Company and the Majority Warrant Holders, provided that no such Warrant may be
                                          --------
modified or amended to reduce the number of shares of Common Stock for which
such Warrant is exercisable or to increase the

                                       23
<PAGE>

price at which such shares may be purchased upon exercise of such Warrant
(before giving effect to any adjustment as provided therein) without the written
consent of the Holder thereof.

          13.8 Severability.  Wherever possible, each provision of this Warrant
               ------------
shall be interpreted in such manner as to be effective and valid under
applicable law, but if any provision of this Warrant shall be prohibited by or
invalid under applicable law, such provision shall be ineffective to the extent
of such prohibition or invalidity, without invalidating the remainder of such
provision or the remaining provisions of this Warrant.

          13.9 Headings.  The headings used in this Warrant are for the
               --------
convenience of reference only and shall not, for any purpose, be deemed a part
of this Warrant.

          13.10 GOVERNING LAW; JURISDICTION.  IN ALL RESPECTS, INCLUDING ALL
                ---------------------------
MATTERS OF CONSTRUCTION, VALIDITY AND PERFORMANCE, THIS WARRANT AND THE
OBLIGATIONS ARISING HEREUNDER SHALL BE GOVERNED BY, AND CONSTRUED AND ENFORCED
IN ACCORDANCE WITH, THE LAWS OF THE STATE OF NEW YORK APPLICABLE TO CONTRACTS
MADE AND PERFORMED IN SUCH STATE, EXCEPT WITH RESPECT TO THE VALIDITY OF THIS
WARRANT, THE ISSUANCE OF WARRANT STOCK UPON EXERCISE HEREOF AND THE RIGHTS AND
DUTIES OF THE COMPANY WITH RESPECT TO REGISTRATION OF TRANSFER, WHICH SHALL BE
GOVERNED BY THE LAWS OF DELAWARE.  THE COMPANY HEREBY CONSENTS AND AGREES THAT
THE STATE OR FEDERAL COURTS LOCATED IN NEW YORK, SHALL HAVE, EXCEPT AS SET FORTH
BELOW, EXCLUSIVE JURISDICTION TO HEAR AND DETERMINE ANY CLAIMS OR DISPUTES
BETWEEN THE COMPANY AND THE HOLDER OF THIS WARRANT PERTAINING TO THIS WARRANT OR
TO ANY MATTER ARISING OUT OF OR RELATING TO THIS AGREEMENT, PROVIDED, THAT IT IS
                                                            --------
ACKNOWLEDGED THAT ANY APPEALS FROM THOSE COURTS MAY HAVE TO BE HEARD BY A COURT
LOCATED OUTSIDE OF NEW YORK.

                                       24
<PAGE>

          IN WITNESS WHEREOF, the Company has caused this Warrant to be duly
executed and its corporate seal to be impressed hereon and attested by its
Secretary or an Assistant Secretary.


                                    RARE MEDIUM GROUP, INC.


                                    By:_________________________________
                                       Name:
                                       Title:


[SEAL]

Attest:


By:_____________________________
   Name:
   Title:

                                       25
<PAGE>

                                    ANNEX A
                                    -------

                               SUBSCRIPTION FORM
                               -----------------

                [To be executed only upon exercise of Warrant]



          The undersigned registered owner of this Warrant irrevocably exercises
this Warrant for the purchase of ______ shares Common Stock of Rare Medium
Group, Inc. and herewith makes payment therefor in __________, all at the price
and on the terms and conditions specified in this Warrant and requests that
certificates for the shares of Common Stock hereby purchased (and any securities
or other property issuable upon such exercise) be issued in the name of and
delivered to _________________ whose address is
___________________________________________________ and, if such shares of
Common Stock shall not include all of the shares of Common Stock issuable as
provided in this Warrant, that a new Warrant of like tenor and date for the
balance of the shares of Common Stock issuable hereunder be delivered to the
undersigned.

                               ___________________________________
                              (Name of Registered Owner)

                               ___________________________________
                              (Signature of Registered Owner)

                               ___________________________________
                              (Street Address)

                               ___________________________________
                              (City)    (State)    (Zip Code)



NOTICE:   The signature on this subscription must correspond with the name as
          written upon the face of the within Warrant in every particular,
          without alteration or enlargement or any change whatsoever.
<PAGE>

                                    ANNEX B
                                    -------

                                ASSIGNMENT FORM
                                ---------------



          FOR VALUE RECEIVED the undersigned registered owner of this Warrant
hereby sells, assigns and transfers unto the assignee named below all of the
rights of the under  signed under this Warrant, with respect to the number of
shares of Common Stock set forth below:

                                No. of Shares of
Name and Address of Assignee      Common Stock
- ----------------------------    ----------------



and does hereby irrevocably constitute and appoint ________ _____________
attorney-in-fact to register such transfer onto the books of Rare Medium Group,
Inc. maintained for the purpose, with full power of substitution in the
premises.

Dated:___________________          Print Name:___________________



                                   Signature:____________________

                                   Witness:______________________



NOTICE:   The signature on this assignment must correspond with the name as
          written upon the face of the within Warrant in every particular,
          without alteration or enlargement or any change whatsoever.
<PAGE>

================================================================================








                                  SERIES 1-B
                                    WARRANT
                    to Purchase Non-Voting Common Stock of

                            RARE MEDIUM GROUP, INC.










================================================================================



                                         Warrant No. [___]

                                         Original Issue
                                         Date: June 4, 1999
<PAGE>

                               TABLE OF CONTENTS

<TABLE>
<S>                                                                          <C>
1.  DEFINITIONS .............................................................  2

2.  EXERCISE OF WARRANT .....................................................  7
    2.1   Manner of Exercise ................................................  7
    2.2   Payment of Taxes ..................................................  8
    2.3   Fractional Shares .................................................  8
    2.4   Reduced Exercise Price ............................................  9

3   TRANSFER, DIVISION AND COMBINATION.......................................  9
    3.1   Transfer ..........................................................  9
    3.2   Division and Combination ..........................................  9
    3.3   Expenses ..........................................................  9
    3.4   Maintenance of Books ..............................................  9

4.  CONVERSION TO SERIES 1-A WARRANTS ....................................... 10
    4.1   Conversion ........................................................ 10

5.  ANTIDILUTION PROVISIONS ................................................. 10
    5.1   General ........................................................... 10
    5.2   Notice of Adjustment of Exercise Price ............................ 10

6.  NO IMPAIRMENT; REGULATORY COMPLIANCE AND COOPERATION;
    NOTICE OF EXPIRATION .................................................... 11

7.  RESERVATION AND AUTHORIZATION OF NON-VOTING COMMON
    STOCK; REGISTRATION WITH OR APPROVAL OF ANY
    GOVERNMENTAL AUTHORITY .................................................. 11

8.  NOTICE OF CORPORATE ACTIONS; TAKING OF RECORD;
    TRANSFER BOOKS .......................................................... 12
    8.1   Notices of Corporate Actions....................................... 12
    8.2   Taking of Record .................................................. 13
    8.3   Closing of Transfer Books ......................................... 13

9.  TRANSFER RESTRICTIONS ................................................... 13
    9.1   Restrictions on Transfers ......................................... 13
    9.2   Restrictive Legends ............................................... 14
    9.3   Termination of Securities Law Restrictions ........................ 14

10. LOSS OR MUTILATION ...................................................... 15
</TABLE>

                                      -i-
<PAGE>

<TABLE>
<S>                                                                          <C>
11. OFFICE OF THE COMPANY ................................................... 15

12. FINANCIAL AND BUSINESS INFORMATION....................................... 16

13. DILUTION FEE ............................................................ 17

14. MISCELLANEOUS ........................................................... 18
    14.1    Nonwaiver ....................................................... 18
    14.2    Notice Generally ................................................ 18
    14.3    Indemnification ................................................. 18
    14.4    Limitation of Liability ......................................... 19
    14.5    Remedies ........................................................ 19
    14.6    Successors and Assigns .......................................... 19
    14.7    Amendment ....................................................... 19
    14.8    Severability .................................................... 19
    14.9    Headings ........................................................ 19
    14.10   GOVERNING LAW; JURISDICTION ..................................... 20

ANNEX A

    SUBSCRIPTION FORM........................................................ 22

ANNEX B

    ASSIGNMENT FORM ......................................................... 23
</TABLE>

                                     -ii-
<PAGE>

     NEITHER THIS WARRANT NOR ANY OF THE SECURITIES ISSUABLE UPON EXERCISE
     HEREOF HAVE BEEN REGISTERED UNDER THE SECURITIES ACT OF 1933, AS AMENDED
     (THE "ACT"), OR ANY STATE SECURITIES LAW.  THE WARRANTS REPRESENTED BY THIS
     CERTIFICATE AND THE SECURITIES ISSUABLE UPON EXERCISE HEREOF MAY NOT BE
     TRANSFERRED, SOLD, ASSIGNED, EXCHANGED, MORTGAGED, PLEDGED, HYPOTHECATED OR
     OTHERWISE DISPOSED OF OR ENCUMBERED WITHOUT COMPLIANCE WITH THE PROVISIONS
     OF, AND ARE OTHERWISE RESTRICTED BY THE PROVISIONS OF, THE ACT, THE RULES
     AND REGULATIONS THEREUNDER AND THIS WARRANT.



                                                Warrant No. [___]

                                  SERIES 1-B
                                    WARRANT

              TO PURCHASE ____ SHARES OF NON-VOTING COMMON STOCK
                          (SUBJECT TO ADJUSTMENT) OF

                            RARE MEDIUM GROUP, INC.


          THIS IS TO CERTIFY THAT APOLLO INVESTMENT FUND IV, L.P., or its
registered assigns, is entitled, at any time prior to the Expiration Date (such
term, and certain other capitalized terms used herein being hereinafter
defined), to purchase from RARE MEDIUM GROUP, INC., a Delaware corporation (the
"Company"), thirteen and one-half (13.5) shares of the Non-Voting Common Stock
 -------
of the Company (subject to adjustment as provided herein), at a purchase price
per share (the initial "Exercise Price", subject to adjustment as provided
                        --------------
herein) set forth in the table below (or, if the Fair Value falls between any of
the prices in the left column, then the Exercise Price will be calculated by
linear interpolation between the corresponding prices in the right column):
<PAGE>

          FAIR VALUE OF ONE
          SHARE OF COMMON
          STOCK ON EXERCISE DATE         EXERCISE PRICE
          ----------------------         --------------
               $4.00 or less                  $4.20
               $5.00                          $3.59
               $6.00                          $1.61
               $7.00 or more                  $0.01

1.   DEFINITIONS
     -----------

          As used in this Warrant, the following terms have the respective
meanings set forth below:

          "Affiliate" of any Person means any other Person (a) which directly or
indirectly through one or more intermediaries controls, or is controlled by, or
is under common control with such Person.  The term "control" (including the
terms "controlled by" and "under common control with") as used with respect to
any Person means the possession, directly or indirectly, of the power to direct
or cause the direction of the management and policies of such Person, whether
through the ownership of voting securities, by contract or otherwise.

          "After-Tax Basis" when referring to a payment that is required
hereunder (the "target amount"), shall mean a total payment (the "total amount")
that, after deduction of all federal, state and local taxes that are required to
be paid by the recipient in respect of the receipt or accrual of such total
amount, is equal to the target amount.

          "Agreed Rate" shall mean the rate of interest announced publicly by
Citibank, N.A. in New York, New York, from time to time, as Citibank, N.A.'s
base rate.

          Apollo Stockholders" shall mean Apollo Investment Fund IV, L.P. or any
of its Affiliates.

          "Appraised Value" per share of Common Stock as of a date specified
herein shall mean the value of such a share as of such date as determined by an
investment bank of nationally recognized standing selected by the Majority
Warrant Holders and reasonably acceptable to the Company.  If the investment
bank selected by the Majority Warrant Holders is not reasonably acceptable to
the Company, and the Company and the Majority Warrant Holders cannot agree on a
mutually acceptable investment bank, then the Company and the Majority Warrant
Holders shall each choose one such investment bank and the respective chosen
firms shall jointly select a third investment bank, which shall make the
determination.  The Company shall pay the costs and fees of each such investment
bank (including any such investment bank selected by the Majority Warrant
Holders), and the decision of the investment bank making such determination of
Appraised Value shall be final and binding on the Company and all affected
holders of Warrants

                                       2
<PAGE>

or Warrant Stock. Such Appraised Value shall be determined as a pro rata portion
of the value of the Company taken as a whole, based on the higher of (A) the
value derived from a hypothetical sale of the entire Company as a going concern
by a willing seller to a willing buyer (neither acting under any compulsion) and
(B) the liquidation value of the entire Company. No discount shall be applied on
account of (i) any Warrants or Warrant Stock representing a minority interest,
(ii) any lack of liquidity of the Common Stock or the Warrants, (iii) the fact
that the Warrants or Warrant Stock may constitute "restricted securities" for
securities law purposes, (iv) the existence of any call option or (v) any other
grounds.

          "Book Value" per share of Common Stock as of a date specified herein
shall mean the consolidated book value of the Company and its Subsidiaries as of
such date divided by the number of shares of Common Stock Outstanding on such
date.  Such book value shall be determined in accordance with GAAP, except that
there shall be no reduction in such book value by reason of any amount that may
be required either as an offset to or reserve against retained earnings or as a
deduction from book value as a result of the issuance, existence, anticipated
exercise of, or anticipated cost to the Company of the repurchase of, any of the
Warrants.

          "Business Day" shall mean any day that is not a Saturday or Sunday or
a day on which banks are required or permitted to be closed in the State of New
York.

          "Commission" shall mean the Securities and Exchange Commission or any
other federal agency then administering the Securities Act and other federal
securities laws.

          "Common Stock" shall mean the Common Stock of the Company, par value
$0.01 per share, as constituted on the Original Issue Date, and any capital
stock into which such Common Stock may thereafter be changed, and shall also
include (i) capital stock of the Company of any other class (regardless of how
denominated) issued to the holders of shares of any Common Stock upon any
reclassification thereof which is also not preferred as to dividends or
liquidation over any other class of stock of the Company and which is not
subject to redemption and (ii) shares of common stock of any successor or
acquiring corporation received by or distributed to the holders of Common Stock
of the Company in the circumstances contemplated by Section 5 hereof.

          "Company" means Rare Medium Group, Inc., a Delaware corporation, and
any successor corporation.

          "Current Market Price" shall mean as of any specified date the average
of the daily market price of one share of the Common Stock for the shorter of
(x) the twenty (20) consecutive Business Days immediately preceding such date or
(y) the period commencing on the Business Day next following the first public
announcement by the Company of any event giving rise to an adjustment of the
Exercise Price pursuant to Section 5 below and ending on such date.  The "daily
market price" of one share of Common Stock for each such Business Day shall be:
(i) if the Common Stock is then listed on a national securities exchange or is
listed on NASDAQ and is

                                       3
<PAGE>

designated as a National Market System security, the last sale price of one
share of Common Stock, regular way, on such day on the principal stock exchange
or market system on which such Common Stock is then listed or admitted to
trading, or, if no such sale takes place on such day, the average of the closing
bid and asked prices for one share of Common Stock on such day as reported on
such stock exchange or market system or (ii) if the Common Stock is not then
listed or admitted to trading on any national securities exchange or designated
as a National Market System security on NASDAQ but is traded over-the-counter,
the average of the closing bid and asked prices for one share of Common Stock as
reported on NASDAQ or the Electronic Bulletin Board or in the National Daily
Quotation Sheets, as applicable.

          "Designated Office" shall have the meaning set forth in Section 11
hereof.

          "Dilution Fee" shall have the meaning set forth in Section 13 hereof.

          "Exchange Act" shall mean the Securities Exchange Act of 1934, as
amended, and the rules and regulations of the Commission thereunder, all as the
same shall be in effect from time to time.

          "Exercise Date" shall have the meaning set forth in Section 2.1
hereof.

          "Exercise Notice" shall have the meaning set forth in Section 2.1
hereof.

          "Exercise Period" shall mean the period during which this Warrant is
exercisable pursuant to Section 2.1 hereof.

          "Exercise Price" shall mean, in respect of a share of Non-Voting
Common Stock at any date herein specified, the initial Exercise Price set forth
in the preamble of this Warrant as adjusted from time to time pursuant to
Sections 2.4 and 5 hereof.

          "Expiration Date" shall mean the tenth anniversary of the Original
Issue Date.

          "Fair Value" per share of Common Stock as of any specified date shall
mean (A) if the Common Stock is publicly traded on such date, the Current Market
Price per share or (B) if the Common Stock is not publicly traded on such date,
(1) the fair market value per share of Common Stock as determined in good faith
by the Board of Directors of the Company and set forth in a written notice to
each Holder or (2) if the Majority Warrant Holders object in writing to such
price as determined by the Board of Directors within thirty (30) days after
receiving notice of same, the Appraised Value per share as of such date.

          "GAAP" shall mean generally accepted accounting principles in the
United States of America as from time to time in effect.

                                       4
<PAGE>

          "Holder" shall mean (a) with respect to this Warrant, the Person in
whose name the Warrant set forth herein is registered on the books of the
Company maintained for such purpose and (b) with respect to any other Warrant or
shares of Warrant Stock, the Person in whose name such Warrant or Warrant Stock
is registered on the books of the Company maintained for such purpose.

          "Lien" shall mean any mortgage or deed of trust, pledge,
hypothecation, assignment, deposit arrangement, lien, charge, claim, security
interest, easement or encumbrance, or preference, priority or other security
agreement or preferential arrangement of any kind or nature whatsoever
(including, without limitation, any lease or title retention agreement, any
financing lease having substantially the same economic effect as any of the
foregoing, and the filing of, or agreement to give, any financing statement
perfecting a security interest under the Uniform Commercial Code or comparable
law of any jurisdiction).

          "Majority Warrant Holders", with respect to a given determination,
shall mean the Holders of Warrants representing more than fifty percent (50%) of
all then outstanding Warrants.

          "NASD" shall mean the National Association of Securities Dealers,
Inc., or any successor corporation thereto.

          "NASDAQ" shall mean the NASDAQ quotation system, or any successor
reporting system.

          "Non-Voting Common Stock" shall mean the non-voting common stock, par
value $0.01 per share, of the Company.

          "Opinion of Counsel" means a written opinion of outside counsel
experienced in Securities Act matters chosen by the Holder of this Warrant or
Warrant Stock issued upon the exercise hereof and reasonably acceptable to the
Company.

          "Original Issue Date" shall mean the date on which this Warrant was
issued, as set forth on the cover page of this Warrant.

          "Original Warrants" shall mean the Warrants originally issued by the
Company on June 4, 1999 to the Apollo Stockholders.

          "Outside Date" shall mean the date that is 120 days after the Original
Issue Date.

          "Outstanding" shall mean, when used with reference to Common Stock or
Non-Voting Common Stock, at any date as of which the number of shares thereof is
to be determined, all issued shares of Common Stock or Non-Voting Common Stock,
as the case may be, except shares then owned or held by or for the account of
the Company or any Subsidiary, and shall

                                       5
<PAGE>

include all shares issuable in respect of outstanding scrip or any certificates
representing fractional interests in shares of Common Stock or Non-Voting Common
Stock, as the case may be.

          "Person" shall mean any individual, sole proprietorship, partnership,
limited liability company, joint venture, trust, incorporated organization,
association, corporation, institution, public benefit corporation, entity or
government (whether federal, state, county, city, municipal or otherwise,
including, without limitation, any instrumentality, division, agency, body or
department thereof).

          "Restricted Common Stock" shall mean shares of Non-Voting Common Stock
which are, or which upon their issuance on the exercise of this Warrant would
be, evidenced by a certificate bearing the restrictive legend set forth in
Section 9.2(a) hereof.

          "Securities Act" shall mean the Securities Act of 1933, as amended,
and the rules and regulations of the Commission thereunder, all as the same
shall be in effect at the time.

          "Series A Preferred Stock" shall mean the Series A Convertible
Preferred Stock of the Company.

          "Series B Preferred Stock" shall mean the Series B Preferred Stock of
the Company.

          "Share Withholding Option" has the meaning set forth in Section 2.1
hereof.

          "Subsidiary" shall mean any corporation, association or other business
entity (i) at least 50% of the outstanding voting securities of which are at the
time owned or controlled directly or indirectly by the Company; or (ii) with
respect to which the Company possesses, directly or indirectly, the power to
direct or cause the direction of the affairs or management of such person.

          "Transfer" shall mean any disposition of any Warrant or Warrant Stock
or of any interest therein, which would constitute a "sale" thereof or a
transfer of a beneficial interest therein within the meaning of the Securities
Act.

          "Warrant Price" shall mean an amount equal to (i) the number of shares
of  Non-Voting Common Stock being purchased upon exercise of this Warrant
pursuant to Section 2.1 hereof, multiplied by (ii) the Exercise Price as of the
date of such exercise.

          "Warrants" shall mean the Original Warrants and all warrants issued
upon transfer, division or combination of, or in substitution for, such Original
Warrants, and any additional Warrants issued together with shares of Series B
Preferred Stock paid as dividends, or any other such Warrant.  All Warrants
shall at all times be identical as to terms and conditions, except as to

                                       6
<PAGE>

the number of shares of Non-Voting Common Stock for which they may be exercised
and their date of issuance.

          "Warrant Stock" generally shall mean the shares of  Non-Voting Common
Stock issued, issuable or both (as the context may require) upon the exercise of
Warrants.


2.   EXERCISE OF WARRANT
     -------------------

          2.1 Manner of Exercise.  (a)  From and after the Original Issue Date
              ------------------
and until 5:00 P.M., New York time, on the Expiration Date, the Holder of this
Warrant may from time to time exercise this Warrant, on any Business Day, for
all or any part of the number of shares of Non-Voting Common Stock purchasable
hereunder (as determined pursuant to Section 2.2 below); provided, however, if
                                                         --------  -------
after the Outside Date, any Holder of this Warrant elects to exercise such
warrant for Non-Voting Common Stock pursuant to this Section 2 and it is
determined that the Company cannot issue Non-Voting Common Stock, the Company
shall use its reasonable efforts to deliver to such Holder securities, cash or
other property to provide such Holder with the economic equivalent of an
exercise of the Series 1-B Warrant for, and an immediate sale of, the Non-Voting
Common Stock.  In order to exercise this Warrant, in whole or in part, the
Holder shall (i) deliver to the Company at its Designated Office a written
notice of the Holder's election to exercise this Warrant (an "Exercise Notice"),
                                                              ---------------
which Exercise Notice shall be irrevocable and specify the number of shares of
Non-Voting Common Stock to be purchased, together with this Warrant and (ii) pay
to the Company the Warrant Price (the date on which both such delivery and
payment shall have first taken place being hereinafter sometimes referred to as
the "Exercise Date").  Such Exercise Notice shall be in the form of the
subscription form appearing at the end of this Warrant as Annex A, duly executed
                                                          -------
by the Holder or its duly authorized agent or attorney.

          (b)  Upon receipt by the Company of such Exercise Notice, Warrant and
payment, the Company shall, as promptly as practicable, and in any event within
five (5) Business Days thereafter, execute (or cause to be executed) and deliver
(or cause to be delivered) to the Holder a certificate or certificates
representing the aggregate number of full shares of Non-Voting Common Stock
issuable upon such exercise, together with cash in lieu of any fraction of a
share, as hereafter provided.  The stock certificate or certificates so
delivered shall be, to the extent possible, in such denomination or
denominations as the exercising Holder shall reasonably request in the Exercise
Notice and shall be registered in the name of the Holder or, subject to Section
9 below, such other name as shall be designated in the Exercise Notice.  This
Warrant shall be deemed to have been exercised and such certificate or
certificates shall be deemed to have been issued, and the Holder or any other
Person so designated to be named therein shall be deemed to have become a holder
of record of such shares for all purposes, as of the Exercise Date.

          (c)  Payment of the Warrant Price shall be made at the option of the
Holder by one or more of the following methods: (i) by delivery of a certified
or official bank check in the

                                       7
<PAGE>

amount of such Warrant Price payable to the order of the Company, (ii) by
instructing the Company to withhold a number of shares of Warrant Stock then
issuable upon exercise of this Warrant with an aggregate Fair Value equal to
such Warrant Price (the "Share Withholding Option"), or (iii) by surrendering to
                         ------------------------
the Company shares of Non-Voting Common Stock previously acquired by the Holder
with an aggregate Fair Value equal to such Warrant Price. In the event of any
withholding of Warrant Stock or surrender of Non-Voting Common Stock pursuant to
clause (ii) or (iii) above where the number of shares whose Fair Value is equal
to the Warrant Price is not a whole number, the number of shares withheld by or
surrendered to the Company shall be rounded up to the nearest whole share and
the Company shall make a cash payment to the Holder based on the incremental
fraction of a share being so withheld by or surrendered to the Company in an
amount determined in accordance with Section 2.3 hereof. Notwithstanding any
provision herein to the contrary, the Company shall not be required to register
shares of Non-Voting Common Stock in the name of any Person who acquired this
Warrant (or part hereof) or any shares of Warrant Stock otherwise than in
accordance with this Warrant.

          (d)  If this Warrant shall have been exercised in part, the Company
shall, at the time of delivery of the certificate or certificates representing
the shares of Non-Voting Common Stock being issued, deliver to the Holder a new
Warrant evidencing the rights of the Holder to purchase the unpurchased shares
of Non-Voting Common Stock called for by this Warrant.  Such new Warrant shall
in all other respects be identical to this Warrant.

          (e)  All Warrants delivered for exercise shall be canceled by the
Company.

          2.2 Payment of Taxes.  All shares of Non-Voting Common Stock issuable
              ----------------
upon the exercise of this Warrant pursuant to the terms hereof shall be validly
issued, fully paid and nonassessable, issued without violation of any preemptive
rights and free and clear of all Liens (other than any created by actions of the
Holder).  The Company shall pay all expenses in connection with, and all taxes
and other governmental charges that may be imposed with respect to, the issue or
delivery thereof, unless such tax or charge is imposed by law upon the Holder,
in which case such taxes or charges shall be paid by the Holder and the Company
shall reimburse the Holder therefor on an After-Tax Basis.  The Company shall
not, however, be required to pay any tax or governmental charge which may be
payable in respect of any Transfer involved in the issue and delivery of shares
of Non-Voting Common Stock issuable upon exercise of this Warrant in a name
other than that of the holder of the Warrants to be exercised, and no such issue
or delivery shall be made unless and until the Person requesting such issue has
paid to the Company the amount of any such tax, or has established to the
satisfaction of the Company that such tax has been paid.

          2.3 Fractional Shares.  The Company shall not be required to issue a
              -----------------
fractional share of Non-Voting Common Stock upon exercise of any Warrant.  As to
any fraction of a share that the Holder of one or more Warrants, the rights
under which are exercised in the same transaction, would otherwise be entitled
to purchase upon such exercise, the Company shall pay

                                       8
<PAGE>

to such Holder an amount in cash equal to such fraction multiplied by (i) the
Current Market Price of one share of Non-Voting Common Stock on the Exercise
Date, if the Non-Voting Common Stock is then publicly traded, or (ii) the Book
Value per share of Non-Voting Common Stock based on the most recent available
consolidated balance sheet of the Company, if the Non-Voting Common Stock is not
then publicly traded.

          2.4 Reduced Exercise Price.  In the event that the Company shall not
              ----------------------
have obtained the approval of its stockholders of the conversion of the Series
1-B Warrants into Series 1-A Warrants (the "Series 1-B-to-1-A Conversion") on or
                                            ----------------------------
prior to the Outside Date, the Exercise Price herein shall be reduced to $0.01.


3.   TRANSFER, DIVISION AND COMBINATION
     ----------------------------------

          3.1 Transfer.  Subject to compliance with Section 9 hereof, each
              --------
transfer of this Warrant and all rights hereunder, in whole or in part, shall be
registered on the books of the Company to be maintained for such purpose, upon
surrender of this Warrant at the Designated Office, together with a written
assignment of this Warrant in the form of Annex B hereto duly executed by the
                                          -------
Holder or its agent or attorney and funds sufficient to pay any transfer taxes
described in Section 2.2 in connection with the making of such transfer.  Upon
such surrender and delivery and, if required, such payment, the Company shall,
subject to Section 9, execute and deliver a new Warrant or Warrants in the name
of the assignee or assignees and in the denominations specified in such
instrument of assignment, and shall issue to the assignor a new Warrant
evidencing the portion of this Warrant not so assigned and this Warrant shall
promptly be cancelled.  A Warrant, if properly assigned in compliance with
Section 9, may be exercised by the new Holder for the purchase of shares of Non-
Voting Common Stock without having a new Warrant issued.

          3.2 Division and Combination.  Subject to compliance with the
              ------------------------
applicable provisions of this Warrant including, without limitation, Section 9,
this Warrant may be divided or combined with other Warrants upon presentation
hereof at the Designated Office, together with a written notice specifying the
names and denominations in which new Warrants are to be issued, signed by the
Holder or its agent or attorney.  Subject to compliance with the applicable
provisions of this Warrant as to any transfer which may be involved in such
division or combination, the Company shall execute and deliver a new Warrant or
Warrants in exchange for the Warrant or Warrants to be divided or combined in
accordance with such notice.

          3.3 Expenses.  The Company shall prepare, issue and deliver at its own
              --------
expense any new Warrant or Warrants required to be issued under this Section 3
(other than pursuant to Section 2.2 hereof).

          3.4 Maintenance of Books.  The Company agrees to maintain, at the
              --------------------
Designated Office, books for the registration and transfer of the Warrants.

                                       9
<PAGE>

4.   CONVERSION TO SERIES 1-A WARRANTS
     ---------------------------------

          4.1 Conversion.  The Company will, as soon as practicable, duly call,
              ----------
give notice of, convene and hold a meeting of its stockholders for the purpose
of approving, among other things, the Series 1-B-to-1-A Conversion and the
creation of the Non-Voting Common Stock. The Company shall use its best efforts
to secure such approval on or prior to the Outside Date. Upon stockholder
approval of the Series 1-B-to-1-A Conversion, whenever obtained, this Warrant
shall, without any action on the part of the Holder hereof or the Company, be
automatically converted into one Series 1-A Warrant (a "Series 1-A Warrant") in
                                                        ------------------
the form attached as Annex 2-A to the Amended and Restated Securities Purchase
Agreement dated as of June 4, 1999 among the Company, the Apollo Stockholders
and certain other parties thereto, to purchase the same number of shares of
Common Stock (subject to adjustment) as could be purchased upon the exercise of
this Warrant immediately prior to such conversion.

          4.2 Promptly following any conversion of this Warrant into a Series
1-A Warrant pursuant to Section 4.1 above, the Holder of this Warrant shall (i)
surrender this Warrant, at the office of the Company or of the transfer agent
for this Warrant and (ii) state in writing the name or names in which the Series
1-A Warrant is to be registered.  As soon as practical following receipt of the
foregoing, the Company shall deliver to such former Holder of this Warrant one
or more Series 1-A Warrants in denominations acceptable to such Holder. Such
conversion shall be deemed to have been effected as of the close of business on
the date on which the stockholders of the Company approve the Series 1-B-to-1-A
Conversion.


5.   ANTIDILUTION PROVISIONS
     -----------------------

          5.1 General.  The number of shares of Non-Voting Common Stock for
              -------
which this Warrant is exercisable and the Exercise Price shall be subject to
adjustment from time to time in the same manner as the number of shares of
Common Stock issuable upon exercise of the Series 1-A Warrant and the "Exercise
Price" as set forth in the Series 1-A Warrant are adjusted pursuant to Section 5
thereof.

          5.2 Notice of Adjustment of Exercise Price.  Whenever the Exercise
              --------------------------------------
Price is adjusted as herein provided:

               (i)  the Company shall compute the adjusted Exercise Price in
          accordance with this Section 5 and shall prepare a certificate signed
          by the Treasurer or Chief Financial Officer of the Company setting
          forth the adjusted Exercise Price and showing in reasonable detail the
          facts upon which such adjustment is based, and such certificate shall
          forthwith be filed at each office or agency maintained for such
          purpose or exercise of Warrants; and

                                       10
<PAGE>

               (ii) a notice stating that the Exercise Price has been adjusted
          and setting forth the adjusted Exercise Price shall forthwith be
          prepared by the Company, and as soon as practicable after it is
          prepared, such notice shall be mailed by the Company at its expense to
          all Holders at their last addresses as they shall appear in the stock
          register.


 6.  NO IMPAIRMENT; REGULATORY COMPLIANCE AND COOPERATION; NOTICE OF EXPIRATION
     --------------------------------------------------------------------------

          (a)  The Company shall not by any action, including, without
limitation, amending its charter documents or through any reorganization,
reclassification, transfer of assets, consolidation, merger, dissolution, issue
or sale of securities or any other similar voluntary action, avoid or seek to
avoid the observance or performance of any of the terms of this Warrant, but
will at all times in good faith assist in the carrying out of all such terms and
in the taking of all such actions as may be necessary or appropriate to protect
the rights of the Holder against impairment. Without limiting the generality of
the foregoing, the Company shall take all such action as may be necessary or
appropriate in order that the Company may validly and legally issue fully paid
and nonassessable shares of Common Stock upon the exercise of this Warrant, free
and clear of all Liens, and shall use its best efforts to obtain all such
authorizations, exemptions or consents from any public regulatory body having
jurisdiction thereof as may be necessary to enable the Company to perform its
obligations under this Warrant.

          (b)  The Company shall deliver to each Holder of Warrants on or before
six months prior to the tenth anniversary of the Original Issue Date, but no
earlier than nine months prior to the tenth anniversary of the Original Issue
Date, advance notice of such tenth anniversary and of the anticipated Expiration
Date.  If the Company fails to fulfill in a timely manner the notice obligation
set forth in the prior sentence, it shall provide such notice as soon as
possible thereafter.


  7. RESERVATION AND AUTHORIZATION OF NON-VOTING COMMON STOCK;
     --------------------------------------------------------
     REGISTRATION WITH OR APPROVAL OF ANY
     -------------------------------------
     GOVERNMENTAL AUTHORITY
     ----------------------

          From and after the Original Issue Date, the Company shall at all times
reserve and keep available for issuance upon the exercise of the Warrants such
number of its authorized but unissued shares of  Non-Voting Common Stock as will
be sufficient to permit the exercise in full of all outstanding Warrants.  All
shares of  Non-Voting Common Stock issuable pursuant to the terms hereof, when
issued upon exercise of this Warrant with payment therefor in accordance with
the terms hereof, shall be duly and validly issued and fully paid and
nonassessable, not subject to preemptive rights and shall be free and clear of
all Liens.  Before taking any action that would result in an adjustment in the
number of shares of Non-Voting Common Stock for which

                                       11
<PAGE>

this Warrant is exercisable or in the Exercise Price, the Company shall obtain
all such authorizations or exemptions thereof, or consents thereto, as may be
necessary from any public regulatory body or bodies having jurisdiction over
such action. If any shares of Non-Voting Common Stock required to be reserved
for issuance upon exercise of Warrants require registration or qualification
with any governmental authority under any federal or state law (other than under
the Securities Act or any state securities law) before such shares may be so
issued, the Company will in good faith and as expeditiously as possible and at
its expense endeavor to cause such shares to be duly registered.


 8.  NOTICE OF CORPORATE ACTIONS; TAKING OF RECORD; TRANSFER BOOKS
     -------------------------------------------------------------

          8.1  Notices of Corporate Actions.
               ----------------------------

                 In case:

                 (a)  the Company shall take an action or an event shall occur,
          that would require an Exercise Price adjustment pursuant to Section 5;
          or

                 (b)  the Company shall grant to the holders of its Common Stock
          rights or warrants to subscribe for or purchase any shares of capital
          stock of any class; or

                 (c)  of any reclassification of the Common Stock (other than a
          subdivision or combination of the outstanding shares of Common Stock),
          or of any consolidation, merger or share exchange to which the Company
          is a party and for which approval of any stockholders of the Company
          is required, or of the sale or transfer of all or substantially all of
          the assets of the Company; or

                 (d)  of the voluntary or involuntary dissolution, liquidation
          or winding up of the Company; or

                 (e)  the Company or any Subsidiary shall commence a tender
          offer for all or a portion of the outstanding shares of Common Stock
          (or shall amend any such tender offer to change the maximum number of
          shares being sought or the amount or type of consideration being
          offered therefor);

then the Company shall cause to be filed at each office or agency maintained for
such purpose, and shall cause to be mailed to all holders at their last
addresses as they shall appear in the stock register, at least 30 days prior to
the applicable record, effective or expiration date hereinafter specified, a
notice stating (x) the date on which a record is to be taken for the purpose of
such dividend, distribution or granting 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
who will be entitled to such dividend, distribution, rights or warrants are to
be determined, (y) the date on which such reclassification,

                                       12
<PAGE>

consolidation, merger, share exchange, sale, transfer, dissolution, liquidation
or winding up is expected to become effective, and the date as of which it is
expected that holders of Common Stock of record shall be entitled to exchange
their shares of Common Stock for securities, cash or other property deliverable
upon such reclassification, consolidation, merger, share exchange, sale,
transfer, dissolution, liquidation or winding up, or (z) the date on which such
tender offer commenced, the date on which such tender offer is scheduled to
expire unless extended, the consideration offered and the other material terms
thereof (or the material terms of the amendment thereto). Such notice shall also
set forth such facts with respect thereto as shall be reasonably necessary to
indicate the effect of such action on the Exercise Price and the number and kind
or class of shares or other securities or property which shall be deliverable or
purchasable upon the occurrence of such action or deliverable upon exercise of
the Warrants. Neither the failure to give any such notice nor any defect therein
shall affect the legality or validity of any action described in clauses (a)
through (e) of this Section 8.1.

          8.2  Taking of Record.  In the case of all dividends or other
               ----------------
distributions by the Company to the holders of its Common Stock with respect to
which any provision of any Section hereof refers to the taking of a record of
such holders, the Company will in each such case take such a record and will
take such record as of the close of business on a Business Day.

          8.3  Closing of Transfer Books.  The Company shall not at any time,
               -------------------------
except upon dissolution, liquidation or winding up of the Company, close its
stock transfer books or Warrant transfer books so as to result in preventing or
delaying the exercise or transfer of any Warrant.


 9.  TRANSFER RESTRICTIONS
     ---------------------

          The Holder, by acceptance of this Warrant, agrees to be bound by the
provisions of this Section 9.

          9.1  Restrictions on Transfers.  Neither this Warrant nor any shares
               -------------------------
of Restricted Common Stock issued upon the exercise hereof shall be transferred,
sold, assigned, exchanged, mortgaged, pledged, hypothecated, or otherwise
disposed of or encumbered without compliance with the provisions of, and are
otherwise restricted by the provisions of, the Securities Act, the rules and
regulations thereunder and this Warrant.  Each certificate, if any, evidencing
such shares of Restricted Common Stock issued upon any such Transfer, other than
in a public offering pursuant to an effective registration statement, shall bear
the restrictive legend set forth in Section 9.2(a), and each Warrant issued upon
such Transfer shall bear the restrictive legend set forth in Section 9.2(b),
unless the Holder delivers to the Company an Opinion of Counsel to the effect
that such legend is not required for the purposes of compliance with the
Securities Act.  Holders of the Warrants or the Restricted Common Stock, as the
case may be, shall not be entitled to Transfer such Warrants or such Restricted
Common Stock except in accordance with this Section 9.1.

                                       13
<PAGE>

          9.2  Restrictive Legends.  (a)  Except as otherwise provided in this
               -------------------
Section 9, each certificate for Warrant Stock initially issued upon the exercise
of this Warrant, and each certificate for Warrant Stock issued to any subsequent
transferee of any such certificate, shall be stamped or otherwise imprinted with
two legends in substantially the following forms:

     "THE SHARES REPRESENTED BY THIS CERTIFICATE HAVE NOT BEEN REGISTERED UNDER
     THE SECURITIES ACT OF 1933, AS AMENDED (THE "ACT"), OR ANY STATE SECURITIES
     LAW.  THE SHARES REPRESENTED BY THIS CERTIFICATE MAY NOT BE TRANSFERRED,
     SOLD, ASSIGNED, EXCHANGE, MORTGAGE, PLEDGED, HYPOTHECATED OF OTHERWISE
     DISPOSED OF OR ENCUMBERED WITHOUT COMPLIANCE WITH THE PROVISIONS OF, AND
     ARE OTHERWISE RESTRICTED BY THE PROVISIONS OF, THE ACT AND THE RULES AND
     REGULATIONS THEREUNDER."

     "THE SHARES REPRESENTED BY THIS CERTIFICATE ARE ENTITLED TO THE BENEFIT OF
     AND ARE SUBJECT TO CERTAIN OBLIGATIONS SET FORTH IN A CERTAIN SERIES 1-B
     WARRANT DATED JUNE 4, 1999, ORIGINALLY ISSUED BY RARE MEDIUM GROUP, INC.
     (THE "WARRANT") PURSUANT TO THE EXERCISE OF WHICH SUCH SHARES WERE ISSUED.
     A COPY OF THE WARRANT IS AVAILABLE AT THE EXECUTIVE OFFICES OF RARE MEDIUM
     GROUP, INC."

          (b)  Except as otherwise provided in this Section 9, each Warrant
shall be stamped or otherwise imprinted with a legend in substantially the
following form:

     "NEITHER THIS SERIES 1-B WARRANT NOR ANY OF THE SECURITIES ISSUABLE UPON
     EXERCISE HEREOF HAVE BEEN REGISTERED UNDER THE SECURITIES ACT OF 1933, AS
     AMENDED (THE "ACT"), OR ANY STATE SECURITIES LAW.  THE SERIES 1-B WARRANTS
     REPRESENTED BY THIS CERTIFICATE AND THE STOCK ISSUABLE UPON EXERCISE HEREOF
     MAY NOT BE TRANSFERRED, SOLD, ASSIGNED, EXCHANGED, MORTGAGED, PLEDGED,
     HYPOTHECATED OF OTHERWISE DISPOSED OF OR ENCUMBERED WITHOUT COMPLIANCE WITH
     THE PROVISIONS OF, AND ARE OTHERWISE RESTRICTED BY THE PROVISIONS OF, THE
     ACT, THE RULES AND REGULATIONS THEREUNDER AND THIS WARRANT."

          9.3  Termination of Securities Law Restrictions.  Notwithstanding the
               ------------------------------------------
foregoing provisions of this Section 9, the restrictions imposed by Section
9.1(b) upon the transferability of the Warrants and the Restricted Common Stock
and the legend requirements of Section 9.2 shall terminate as to any particular
Warrant or shares of Restricted Common Stock when the Company shall have
received from the Holder thereof an Opinion of Counsel to the effect that such
legend is

                                       14
<PAGE>

not required in order to ensure compliance with the Securities Act. Whenever the
restrictions imposed by Sections 9.1(b) and 9.2 shall terminate as to this
Warrant, as hereinabove provided, the Holder hereof shall be entitled to receive
from the Company, at the expense of the Company, a new Warrant bearing the
following legend in place of the restrictive legend set forth hereon:

          "THE RESTRICTIONS ON TRANSFERABILITY OF THE WITHIN SERIES 1-B WARRANT
     CONTAINED IN SECTIONS 9.1(b) AND 9.2 HEREOF TERMINATED ON ______________,
     20__, AND ARE OF NO FURTHER FORCE AND EFFECT."

All Warrants issued upon registration of transfer, division or combination of,
or in substitution for, any Warrant or Warrants entitled to bear such legend
shall have a similar legend endorsed thereon.  Whenever the restrictions imposed
by this Section shall terminate as to any share of Restricted Common Stock, as
hereinabove provided, the Holder thereof shall be entitled to receive from the
Company, at the Company's expense, a new certificate representing such Common
Stock not bearing the restrictive legend set forth in Section 9.2(a).

10.  LOSS OR MUTILATION
     ------------------

          Upon receipt by the Company from any Holder of evidence reasonably
satisfactory to it of the ownership of and the loss, theft, destruction or
mutilation of this Warrant and an indemnity reasonably satisfactory to it (it
being understood that the written indemnification agreement of or affidavit of
loss of the Apollo Stockholders, shall be a sufficient indemnity) and, in case
of mutilation, upon surrender and cancellation hereof, the Company will execute
and deliver in lieu hereof a new Warrant of like tenor to such Holder; provided,
                                                                       --------
however, that, in the case of mutilation, no indemnity shall be required if this
- -------
Warrant in identifiable form is surrendered to the Company for cancellation.


11.  OFFICE OF THE COMPANY
     ---------------------

          As long as any of the Warrants remain outstanding, the Company shall
maintain an office or agency, which may be the principal executive offices of
the Company (the "Designated Office"), where the Warrants may be presented for
                  -----------------
exercise, registration of transfer, division or combination as provided in this
Warrant.  Such Designated Office shall initially be the office of the Company at
44 West 18th Street, 6th Floor, New York, New York 10011.  The Company may from
time to time change the Designated Office to another office of the Company or
its agent within the United States by notice given to all registered Holders at
least ten (10) Business Days prior to the effective date of such change.

                                       15
<PAGE>

12.  FINANCIAL AND BUSINESS INFORMATION
     ----------------------------------

          (a)  Financial Reports.
               -----------------

          Until (i) the Company shall no longer be required to deliver financial
reports in connection with the Series A Preferred Stock, or (ii) the Expiration
Date, whichever first occurs, the Company shall furnish to Apollo Investment
Fund IV, L.P. the following:

               (i)    Monthly Reports. As soon as available, but not later than
                      ---------------
     30 days after the end of each fiscal month, a consolidated balance sheet of
     the Company as of the end of such period and consolidated statements of
     income of the Company for such period and for the period commencing at the
     end of the previous fiscal year and ending with the end of such period,
     setting forth in each case in comparative form the corresponding figures
     for the corresponding period of the preceding fiscal year, and including
     comparisons to the budget or business plan and an analysis of the variances
     from the budget or plan, all prepared in accordance with generally accepted
     accounting principals consistently applied (except for the absence of
     footnotes and year-end adjustments).

               (ii)   Quarterly Reports. As soon as available, but not later
                      -----------------
     than 45 days after the end of each quarterly accounting period, (A) a
     consolidated balance sheet of the Company as of the end of such period and
     consolidated statements of income, cash flows and changes in shareholders'
     equity for such quarterly accounting period and for the period commencing
     at the end of the previous fiscal year and ending with the end of such
     period, setting forth in each case in comparative form the corresponding
     figures for the corresponding period of the preceding fiscal year, and
     including comparisons to the budget or business plan and an analysis of the
     variances from the budget or plan, all prepared in accordance with
     generally accepted accounting principals consistently applied, subject to
     normal year-end adjustments and the absence of footnote disclosure, and (B)
     a report by management of the Company of the operating and financial
     highlights of the Company and its Subsidiaries for such period, which shall
     include (x) a comparison between operating and financial results and budget
     and (y) an analysis of the operations of the Company and its Subsidiaries
     for such period.

               (iii)  Annual Audit.  As soon as available, but not later than 90
                      ------------
     days after the end of each fiscal year of the Company, audited consolidated
     financial statements of the Company, which shall include statements of
     income, cash flows and changes in shareholders' equity for such fiscal year
     and a balance sheet as of the last day thereof, each prepared in accordance
     with generally accepted accounting principles, consistently applied, and
     accompanied by the report of a "Big 5" firm of independent certified public
     accountants selected by the Company's Board of Directors (the
     "Accountants").  The Company and its Subsidiaries shall maintain a system
      -----------
     of accounting sufficient to enable its Accountants to render the report
     referred to in this Section 12(a)(iii).

                                       16
<PAGE>

               (iv) Miscellaneous.  Promptly upon becoming available, each of
                    -------------
     the following:

               (A)  copies of all financial statements, reports, press releases,
     notices, proxy statements and other documents sent by the Company or its
     Subsidiaries to its shareholders generally or released to the public and
     copies of all regular and periodic reports, if any, filed by the Company or
     its Subsidiaries with the SEC, any securities exchange or the NASD;

               (B)  notification in writing of the existence of any default
     under any material agreement or instrument to which the Company or any of
     its Subsidiaries is a party or by which any of their assets are bound;

               (C)  upon request, copies of all reports prepared for or
     delivered to the management of the Company or its Subsidiaries by its
     accountants; and

               (D)  upon request, any other routinely collected financial or
     other information available to management of the Company or its
     Subsidiaries (including, without limitation, routinely collected
     statistical data).

          (b)  Other Holders. Without duplication of any document or information
               -------------
provided pursuant to this Section 12, the Company shall provide to each Holder
of Warrants or Warrant Stock the following:

               (i)    as soon as available, but not later than 45 days after the
     end of each quarterly accounting period, a Form 10-Q or, if the Company
     does not then file quarterly reports with the SEC, the documents referred
     to in Section 12(a)(ii).

               (ii)   as soon as available, but not later than 90 days after the
     end of each fiscal year, a Form 10-K or, if the Company does not then file
     annual reports with the SEC, the audited consolidated financial statements
     referred to in Section 12(a)(iii).

               (iii)  simultaneously with any distribution of any document to
     the stockholders of the Company generally, any such document so
     distributed.


13.  DILUTION FEE
     ------------

          In the event any dividends are declared with respect to the Common
Stock, the holder of this Warrant as of the record date established by the Board
of Directors for such dividend shall be entitled to receive as a dilution fee
(the "Dilution Fee") an amount (whether in the form of cash, securities or other
      ------------
property) equal to the amount (and in the form) of the dividends that such
holder would have received had this Warrant been exercised for purchase of

                                       17
<PAGE>

Non-Voting Common Stock (on the basis of one share of Common Stock for each
share of Non-Voting Common Stock for which this Warrant is then exercisable) as
of the record date of such dividend, such Dilution Fee to be payable on the
payment date of the dividend established by the Board of Directors (the
"Dilution Fee Payment Date"). The record date for any such Dilution Fee shall be
 -------------------------
the record date for the applicable dividend, and any such Dilution Fee shall be
payable to the persons in whose name this Warrant is registered at the close of
business on the applicable record date.


14.  MISCELLANEOUS
     -------------

          14.1 Nonwaiver.  No course of dealing or any delay or failure to
               ---------
exercise any right hereunder on the part of the Company or the Holder shall
operate as a waiver of such right or otherwise prejudice the rights, powers or
remedies of such Person.

          14.2 Notice Generally.  Any notice, demand, request, consent,
               ----------------
approval, declaration, delivery or communication hereunder to be made pursuant
to the provisions of this Warrant shall be sufficiently given or made if in
writing and either delivered in person with receipt acknowledged or sent by
registered or certified mail, return receipt requested, postage prepaid,
addressed as follows:

          (a)  if to any Holder of this Warrant or of Warrant Stock issued upon
     the exercise hereof, at its last known address appearing on the books of
     the Company maintained for such purpose;

          (b)  if to the Company, at the Designated Office;

or at such other address as may be substituted by notice given as herein
provided.  The giving of any notice required hereunder may be waived in writing
by the party entitled to receive such notice.  Every notice, demand, request,
consent, approval, declaration, delivery or other communication hereunder shall
be deemed to have been duly given or served on the date on which personally
delivered, with receipt acknowledged, or three (3) Business Days after the same
shall have been deposited in the United States mail, or one (1) Business Day
after the same shall have been sent by Federal Express or another recognized
overnight courier service.

          14.3 Indemnification.  If the Company fails to make, when due, any
               ---------------
payments provided for in this Warrant, the Company shall pay to the Holder
hereof (a) interest at the Agreed Rate on any amounts due and owing to such
Holder and (b) such further amounts as shall be sufficient to cover any costs
and expenses including, but not limited to, reasonable attorneys' fees and
expenses incurred by such Holder in collecting any amounts due hereunder.  The
Company shall indemnify, save and hold harmless the Holder hereof and the
Holders of any Warrant Stock issued upon the exercise hereof from and against
any and all liability, loss, cost, damage, reasonable attorneys' and
accountants' fees and expenses, court costs and all other out-

                                       18
<PAGE>

of-pocket expenses incurred in connection with or arising from any default
hereunder by the Company. This indemnification provision shall be in addition to
the rights of such Holder or Holders to bring an action against the Company for
breach of contract based on such default hereunder.

          14.4 Limitation of Liability.  No provision hereof, in the absence of
               -----------------------
affirmative action by the Holder to purchase shares of Non-Voting Common Stock,
and no enumeration herein of the rights or privileges of the Holder hereof,
shall give rise to any liability of such Holder to pay the Exercise Price for
any Warrant Stock other than pursuant to an exercise of this Warrant or any
liability as a stockholder of the Company, whether such liability is asserted by
the Company or by creditors of the Company.

          14.5 Remedies.  Each Holder of Warrants and/or Warrant Stock, in
               --------
addition to being entitled to exercise its rights granted by law, including
recovery of damages, shall be entitled to specific performance of its rights
provided under this Warrant.  The Company agrees that monetary damages would not
be adequate compensation for any loss incurred by reason of a breach by it of
the provisions of this Warrant and hereby agrees, in an action for specific
performance, to waive the defense that a remedy at law would be adequate.

          14.6 Successors and Assigns.  Subject to the provisions of Sections
               ----------------------
3.1, 9.1 and 9.2, this Warrant and the rights evidenced hereby shall inure to
the benefit of and be binding upon the successors of the Company and the
permitted successors and assigns of the Holder hereof. The provisions of this
Warrant are intended to be for the benefit of all Holders from time to time of
this Warrant and to the extent applicable, all Holders of shares of Warrant
Stock issued upon the exercise hereof (including transferees), and shall be
enforceable by any such Holder.

          14.7 Amendment.  This Warrant and all other Warrants may be modified
               ---------
or amended or the provisions hereof waived with the written consent of the
Company and the Majority Warrant Holders, provided that no such Warrant may be
                                          --------
modified or amended to reduce the number of shares of  Non-Voting Common Stock
for which such Warrant is exercisable or to increase the price at which such
shares may be purchased upon exercise of such Warrant (before giving effect to
any adjustment as provided therein) without the written consent of the Holder
thereof.

          14.8 Severability.  Wherever possible, each provision of this Warrant
               ------------
shall be interpreted in such manner as to be effective and valid under
applicable law, but if any provision of this Warrant shall be prohibited by or
invalid under applicable law, such provision shall be ineffective to the extent
of such prohibition or invalidity, without invalidating the remainder of such
provision or the remaining provisions of this Warrant.

          14.9 Headings.  The headings used in this Warrant are for the
               --------
convenience of reference only and shall not, for any purpose, be deemed a part
of this Warrant.

                                       19
<PAGE>

          14.10  GOVERNING LAW; JURISDICTION.  IN ALL RESPECTS, INCLUDING ALL
                 ---------------------------
MATTERS OF CONSTRUCTION, VALIDITY AND PERFORMANCE, THIS WARRANT AND THE
OBLIGATIONS ARISING HEREUNDER SHALL BE GOVERNED BY, AND CONSTRUED AND ENFORCED
IN ACCORDANCE WITH, THE LAWS OF THE STATE OF NEW YORK APPLICABLE TO CONTRACTS
MADE AND PERFORMED IN SUCH STATE, EXCEPT WITH RESPECT TO THE VALIDITY OF THIS
WARRANT, THE ISSUANCE OF WARRANT STOCK UPON EXERCISE HEREOF AND THE RIGHTS AND
DUTIES OF THE COMPANY WITH RESPECT TO REGISTRATION OF TRANSFER, WHICH SHALL BE
GOVERNED BY THE LAWS OF DELAWARE.  THE COMPANY HEREBY CONSENTS AND AGREES THAT
THE STATE OR FEDERAL COURTS LOCATED IN NEW YORK, SHALL HAVE, EXCEPT AS SET FORTH
BELOW, EXCLUSIVE JURISDICTION TO HEAR AND DETERMINE ANY CLAIMS OR DISPUTES
BETWEEN THE COMPANY AND THE HOLDER OF THIS WARRANT PERTAINING TO THIS WARRANT OR
TO ANY MATTER ARISING OUT OF OR RELATING TO THIS AGREEMENT, PROVIDED, THAT IT IS
                                                            --------
ACKNOWLEDGED THAT ANY APPEALS FROM THOSE COURTS MAY HAVE TO BE HEARD BY A COURT
LOCATED OUTSIDE OF NEW YORK.

                                       20
<PAGE>

          IN WITNESS WHEREOF, the Company has caused this Warrant to be duly
executed and its corporate seal to be impressed hereon and attested by its
Secretary or an Assistant Secretary.


                                    RARE MEDIUM GROUP, INC.


                                    By:_________________________________
                                         Name:
                                         Title:


[SEAL]

Attest:


By:_____________________________
     Name:
     Title:

                                       21
<PAGE>

                                    ANNEX A
                                    -------

                               SUBSCRIPTION FORM
                               -----------------

                [To be executed only upon exercise of Warrant]



          The undersigned registered owner of this Warrant irrevocably exercises
this Warrant for the purchase of ______ shares Non-Voting Common Stock of Rare
Medium Group, Inc. and herewith makes payment therefor in __________, all at the
price and on the terms and conditions specified in this Warrant and requests
that certificates for the shares of Non-Voting Common Stock hereby purchased
(and any securities or other property issuable upon such exercise) be issued in
the name of and delivered to _________________ whose address is
_______________________________ and, if such shares of  Non-Voting Common Stock
shall not include all of the shares of  Non-Voting Common Stock issuable as
provided in this Warrant, that a new Warrant of like tenor and date for the
balance of the shares of Non-Voting Common Stock issuable hereunder be delivered
to the undersigned.

                               _______________________________
                               (Name of Registered Owner)

                               _______________________________
                               (Signature of Registered Owner)

                               _______________________________
                               (Street Address)

                               _______________________________
                               (City)    (State)    (Zip Code)



NOTICE:   The signature on this subscription must correspond with the name as
          written upon the face of the within Warrant in every particular,
          without alteration or enlargement or any change whatsoever.

                                       22
<PAGE>

                                    ANNEX B
                                    -------

                                ASSIGNMENT FORM
                                ---------------



          FOR VALUE RECEIVED the undersigned registered owner of this Warrant
hereby sells, assigns and transfers unto the assignee named below all of the
rights of the under  signed under this Warrant, with respect to the number of
shares of  Non-Voting Common Stock set forth below:

                                          No. of Shares of
Name and Address of Assignee             ____ Non-Voting Common Stock
- ----------------------------



and does hereby irrevocably constitute and appoint ________ _____________
attorney-in-fact to register such transfer onto the books of Rare Medium Group,
Inc. maintained for the purpose, with full power of substitution in the
premises.

Dated:___________________     Print Name:___________________



                              Signature:____________________

                              Witness:______________________



NOTICE:   The signature on this assignment must correspond with the name as
          written upon the face of the within Warrant in every particular,
          without alteration or enlargement or any change whatsoever.

                                       23
<PAGE>

================================================================================

                                  SERIES 2-A
                                    WARRANT
                          to Purchase Common Stock of

                            RARE MEDIUM GROUP, INC.



================================================================================



                                         Warrant No. [___]

                                         Original Issue
                                         Date: June 4, 1999
<PAGE>

                               TABLE OF CONTENTS
<TABLE>
<S>                                                                           <C>
1.  DEFINITIONS ...........................................................    1

2.  EXERCISE OF WARRANT ...................................................    7
    2.1 Manner of Exercise ................................................    7
    2.2 Payment of Taxes ..................................................    8
    2.3 Fractional Shares .................................................    8
    2.4 Reduced Exercise Price ............................................    8

3.  TRANSFER, DIVISION AND COMBINATION ....................................    9
    3.1 Transfer ..........................................................    9
    3.2 Division and Combination ..........................................    9
    3.3 Expenses ..........................................................    9
    3.4 Maintenance of Books ..............................................    9

4.  ANTIDILUTION PROVISIONS ...............................................    9
    4.1 Upon Issuance of Common Stock .....................................    9
    4.2 Upon Acquisition of Common Stock ..................................   10
    4.3 Provisions Applicable to Adjustments ..............................   11
    4.4 Upon Stock Dividends or Splits12
    4.5 Upon Combinations .................................................   12
    4.6 Upon Reclassifications, Reorganizations, Consolidations or Mergers    13
    4.7 Deferral in Certain Circumstances .................................   13
    4.8 Other Anti-Dilution Provisions13
    4.9 Appraisal Procedure ...............................................   13
    4.10 Adjustment of Number of Shares Purchasable .......................   14
    4.11 Exceptions. 14
    4.12 Notice of Adjustment of Exercise Price ...........................   14

5.  NO IMPAIRMENT; REGULATORY COMPLIANCE AND COOPERATION;
    NOTICE OF EXPIRATION ..................................................   14

6.  RESERVATION AND AUTHORIZATION OF COMMON STOCK;
    REGISTRATION WITH OR APPROVAL OF ANY GOVERNMENTAL
    AUTHORITY .............................................................   15

7.  NOTICE OF CORPORATE ACTIONS; TAKING OF RECORD;
    TRANSFER BOOKS ........................................................   15
    7.1 Notices of Corporate Actions.......................................   15
    7.2 Taking of Record ..................................................   16
    7.3 Closing of Transfer Books .........................................   16

8.  TRANSFER RESTRICTIONS .................................................   17
</TABLE>

                                      -i-
<PAGE>

<TABLE>
<S>                                                                           <C>
    8.1 Restrictions on Transfers .........................................   17
    8.2 Restrictive Legends ...............................................   17
    8.3 Termination of Securities Law Restrictions ........................   18

9.  LOSS OR MUTILATION ....................................................   18

10. OFFICE OF THE COMPANY .................................................   19

11. FINANCIAL AND BUSINESS INFORMATION ....................................   19

12. DILUTION FEE ..........................................................   21

13. MISCELLANEOUS .........................................................   21
    13.1 Nonwaiver ........................................................   21
    13.2 Notice Generally .................................................   21
    13.3 Indemnification ..................................................   21
    13.4 Limitation of Liability ..........................................   22
    13.5 Remedies .........................................................   22
    13.6 Successors and Assigns ...........................................   22
    13.7 Amendment ........................................................   22
    13.8 Severability .....................................................   22
    13.9 Headings .........................................................   22
    13.10 GOVERNING LAW; JURISDICTION .....................................   23

ANNEX A

    SUBSCRIPTION FORM .....................................................   25

ANNEX B

    ASSIGNMENT FORM .......................................................   26
</TABLE>
                                     -ii-
<PAGE>

     NEITHER THIS WARRANT NOR ANY OF THE SECURITIES ISSUABLE UPON EXERCISE
     HEREOF HAVE BEEN REGISTERED UNDER THE SECURITIES ACT OF 1933, AS
     AMENDED (THE "ACT"), OR ANY STATE SECURITIES LAW. THE WARRANTS
     REPRESENTED BY THIS CERTIFICATE AND THE SECURITIES ISSUABLE UPON
     EXERCISE HEREOF MAY NOT BE TRANSFERRED, SOLD, ASSIGNED, EXCHANGED,
     MORTGAGED, PLEDGED, HYPOTHECATED OR OTHERWISE DISPOSED OF OR
     ENCUMBERED WITHOUT COMPLIANCE WITH THE PROVISIONS OF, AND ARE
     OTHERWISE RESTRICTED BY THE PROVISIONS OF, THE ACT, THE RULES AND
     REGULATIONS THEREUNDER AND THIS WARRANT.



                                                        Warrant No. [___]

                                  SERIES 2-A
                                    WARRANT

                    TO PURCHASE ____ SHARES OF COMMON STOCK
                          (SUBJECT TO ADJUSTMENT) OF

                            RARE MEDIUM GROUP, INC.


          THIS IS TO CERTIFY THAT APOLLO INVESTMENT FUND IV, L.P., or its
registered assigns, is entitled, at any time prior to the Expiration Date (such
term, and certain other capitalized terms used herein being hereinafter
defined), to purchase from RARE MEDIUM GROUP, INC., a Delaware corporation (the
"Company"), one (1) share of the Common Stock of the Company (subject to
 -------
adjustment as provided herein), at a purchase price per share (the initial
"Exercise Price", subject to adjustment as provided herein) equal to $7.00.
 --------------

1.   DEFINITIONS
     -----------

          As used in this Warrant, the following terms have the respective
meanings set forth below:

          "Affiliate" of any Person means any other Person (a) which directly or
indirectly through one or more intermediaries controls, or is controlled by, or
is under common control with such Person.  The term "control" (including the
terms "controlled by" and "under common control with") as used with respect to
any Person means the possession, directly or indirectly, of the power to direct
or cause the direction of the management and policies of such Person, whether
through the ownership of voting securities, by contract or otherwise.
<PAGE>

          "After-Tax Basis" when referring to a payment that is required
hereunder (the "target amount"), shall mean a total payment (the "total amount")
that, after deduction of all federal, state and local taxes that are required to
be paid by the recipient in respect of the receipt or accrual of such total
amount, is equal to the target amount.

          "Agreed Rate" shall mean the rate of interest announced publicly by
Citibank, N.A. in New York, New York, from time to time, as Citibank, N.A.'s
base rate.

          "Appraisal Procedure" if applicable, shall mean the following
procedure to determine the fair market value, as to any security, for purposes
of the definition of "Fair Value" or the fair market value, as to any other
property (in either case, the "valuation amount").  So long as Apollo Investment
Fund IV, L.P. or any of its Affiliates (the "Apollo Stockholders") beneficially
                                             -------------------
own sufficient Warrants to constitute the Majority Warrant Holders, the
valuation amount shall be determined in good faith jointly by the Board of
Directors and the Majority Warrant Holders; provided, however, that if such
                                            --------  -------
parties are not able to agree on the valuation amount within a reasonable period
of time (not to exceed twenty (20) days) the valuation amount shall be
determined by an investment banking firm of national recognition, which firm
shall be reasonably acceptable to the Board of Directors and the Majority
Warrant Holders.  If the Board of Directors and the Majority Warrant Holders are
unable to agree upon an acceptable investment banking firm within ten (10) days
after the date either party proposed that one be selected, the investment
banking firm will be selected by an arbitrator located in New York City, New
York, selected by the American Arbitration Association (or if such organization
ceases to exist, the arbitrator shall be chosen by a court of competent
jurisdiction).  The arbitrator shall select the investment banking firm (within
ten (10) days of his appointment) from a list, jointly prepared by the Board of
Directors and the Majority Warrant Holders, of not more than six investment
banking firms of national standing in the United States, of which no more than
three may be named by the Board of Directors and no more than three may be named
by the Majority Warrant Holders.  The arbitrator may consider, within the ten-
day period allotted, arguments from the parties regarding which investment
banking firm to choose, but the selection by the arbitrator shall be made in its
sole discretion from the list of six.  The Board of Directors and the Majority
Warrant Holders shall submit their respective valuations and other relevant data
to the investment banking firm, and the investment banking firm shall as soon as
practicable thereafter make its own determination of the valuation amount.  The
final valuation amount for purposes hereof shall be the average of the two
valuation amounts closest together, as determined by the investment banking
firm, from among the valuation amounts submitted by the Company and the Majority
Warrant Holders and the valuation amount calculated by the investment banking
firm.  The determination of the final valuation amount by such investment-
banking firm shall be final and binding upon the parties.  The Company shall pay
the fees and expenses of the investment banking firm and arbitrator (if any)
used to determine the valuation amount.  If required by any such investment
banking firm or arbitrator, the Company shall execute a retainer and engagement
letter containing reasonable terms and conditions, including, without
limitation, customary provisions concerning the rights of indemnification and
contribution by the Company in favor of such investment banking firm or
arbitrator and its officers, directors, partners, employees, agents and
Affiliates.  If the Apollo Stockholders no longer constitute the Majority
Warranty Holders, the valuation amount shall be determined in good faith by the
Board of Directors.

                                       2
<PAGE>

          "Appraised Value" per share of Common Stock as of a date specified
herein shall mean the value of such a share as of such date as determined by an
investment bank of nationally recognized standing selected by the Majority
Warrant Holders and reasonably acceptable to the Company.  If the investment
bank selected by the Majority Warrant Holders is not reasonably acceptable to
the Company, and the Company and the Majority Warrant Holders cannot agree on a
mutually acceptable investment bank, then the Company and the Majority Warrant
Holders shall each choose one such investment bank and the respective chosen
firms shall jointly select a third investment bank, which shall make the
determination.  The Company shall pay the costs and fees of each such investment
bank (including any such investment bank selected by the Majority Warrant
Holders), and the decision of the investment bank making such determination of
Appraised Value shall be final and binding on the Company and all affected
holders of Warrants or Warrant Stock.  Such Appraised Value shall be determined
as a pro rata portion of the value of the Company taken as a whole, based on the
higher of (A) the value derived from a hypothetical sale of the entire Company
as a going concern by a willing seller to a willing buyer (neither acting under
any compulsion) and (B) the liquidation value of the entire Company.  No
discount shall be applied on account of (i) any Warrants or Warrant Stock
representing a minority interest, (ii) any lack of liquidity of the Common Stock
or the Warrants, (iii) the fact that the Warrants or Warrant Stock may
constitute "restricted securities" for securities law purposes, (iv) the
existence of any call option or (v) any other grounds.

          "Book Value" per share of Common Stock as of a date specified herein
shall mean the consolidated book value of the Company and its Subsidiaries as of
such date divided by the number of shares of Common Stock Outstanding on such
date.  Such book value shall be determined in accordance with GAAP, except that
there shall be no reduction in such book value by reason of any amount that may
be required either as an offset to or reserve against retained earnings or as a
deduction from book value as a result of the issuance, existence, anticipated
exercise of, or anticipated cost to the Company of the repurchase of, any of the
Warrants.

          "Business Day" shall mean any day that is not a Saturday or Sunday or
a day on which banks are required or permitted to be closed in the State of New
York.

          "Commission" shall mean the Securities and Exchange Commission or any
other federal agency then administering the Securities Act and other federal
securities laws.

          "Common Stock" shall mean the Common Stock of the Company, par value
$0.01 per share, as constituted on the Original Issue Date, and any capital
stock into which such Common Stock may thereafter be changed, and shall also
include (i) capital stock of the Company of any other class (regardless of how
denominated) issued to the holders of shares of any Common Stock upon any
reclassification thereof which is also not preferred as to dividends or
liquidation over any other class of stock of the Company and which is not
subject to redemption and (ii) shares of common stock of any successor or
acquiring corporation (as defined in Section 4.6 hereof) received by or
distributed to the holders of Common Stock of the Company in the circumstances
contemplated by Section 4.6 hereof.

                                       3
<PAGE>

          "Company" means Rare Medium Group, Inc., a Delaware corporation, and
any successor corporation.

          "Current Market Price" shall mean as of any specified date the average
of the daily market price of one share of the Common Stock for the shorter of
(x) the twenty (20) consecutive Business Days immediately preceding such date or
(y) the period commencing on the Business Day next following the first public
announcement by the Company of any event giving rise to an adjustment of the
Exercise Price pursuant to Section 4 below and ending on such date.  The "daily
market price" of one share of Common Stock for each such Business Day shall be:
(i) if the Common Stock is then listed on a national securities exchange or is
listed on NASDAQ and is designated as a National Market System security, the
last sale price of one share of Common Stock, regular way, on such day on the
principal stock exchange or market system on which such Common Stock is then
listed or admitted to trading, or, if no such sale takes place on such day, the
average of the closing bid and asked prices for one share of Common Stock on
such day as reported on such stock exchange or market system or (ii) if the
Common Stock is not then listed or admitted to trading on any national
securities exchange or designated as a National Market System security on NASDAQ
but is traded over-the-counter, the average of the closing bid and asked prices
for one share of Common Stock as reported on NASDAQ or the Electronic Bulletin
Board or in the National Daily Quotation Sheets, as applicable.

          "Designated Office" shall have the meaning set forth in Section 10
hereof.

          "Dilution Fee" shall have the meaning set forth in Section 12 hereof.

          "Exchange Act" shall mean the Securities Exchange Act of 1934, as
amended, and the rules and regulations of the Commission thereunder, all as the
same shall be in effect from time to time.

          "Excluded Stock" shall have the meaning set forth in Section 4.11
hereof.

          "Exercise Date" shall have the meaning set forth in Section 2.1
hereof.

          "Exercise Notice" shall have the meaning set forth in Section 2.1
hereof.

          "Exercise Period" shall mean the period during which this Warrant is
exercisable pursuant to Section 2.1 hereof.

          "Exercise Price" shall mean, in respect of a share of Common Stock at
any date herein specified, the initial Exercise Price set forth in the preamble
of this Warrant as adjusted from time to time pursuant to Sections 2.4 and 4
hereof.

          "Expiration Date" shall mean the tenth anniversary of the Original
Issue Date.

          "Fair Value" per share of Common Stock as of any specified date shall
mean (A) if the Common Stock is publicly traded on such date, the Current Market
Price per share or (B) if

                                       4
<PAGE>

the Common Stock is not publicly traded on such date, (1) the fair market value
per share of Common Stock as determined in good faith by the Board of Directors
of the Company and set forth in a written notice to each Holder or (2) if the
Majority Warrant Holders object in writing to such price as determined by the
Board of Directors within thirty (30) days after receiving notice of same, the
Appraised Value per share as of such date.

          "GAAP" shall mean generally accepted accounting principles in the
United States of America as from time to time in effect.

          "Holder" shall mean (a) with respect to this Warrant, the Person in
whose name the Warrant set forth herein is registered on the books of the
Company maintained for such purpose and (b) with respect to any other Warrant or
shares of Warrant Stock, the Person in whose name such Warrant or Warrant Stock
is registered on the books of the Company maintained for such purpose.

          "Lien" shall mean any mortgage or deed of trust, pledge,
hypothecation, assignment, deposit arrangement, lien, charge, claim, security
interest, easement or encumbrance, or preference, priority or other security
agreement or preferential arrangement of any kind or nature whatsoever
(including, without limitation, any lease or title retention agreement, any
financing lease having substantially the same economic effect as any of the
foregoing, and the filing of, or agreement to give, any financing statement
perfecting a security interest under the Uniform Commercial Code or comparable
law of any jurisdiction).

          "Majority Warrant Holders", with respect to a given determination,
shall mean the Holders of Warrants representing more than fifty percent (50%) of
all then outstanding Warrants.

          "NASD" shall mean the National Association of Securities Dealers,
Inc., or any successor corporation thereto.

          "NASDAQ" shall mean the NASDAQ quotation system, or any successor
reporting system.

          "Opinion of Counsel" means a written opinion of outside counsel
experienced in Securities Act matters chosen by the Holder of this Warrant or
Warrant Stock issued upon the exercise hereof and reasonably acceptable to the
Company.

          "Original Issue Date" shall mean the date on which this Warrant was
issued, as set forth on the cover page of this Warrant.

          "Original Warrants" shall mean the Warrants originally issued by the
Company on June 4, 1999 to the Apollo Stockholders.

          "Outside Date" shall mean the date that is 120 days after the Original
Issue Date.

                                       5
<PAGE>

          "Outstanding" shall mean, when used with reference to Common Stock, at
any date as of which the number of shares thereof is to be determined, all
issued shares of Common Stock, except shares then owned or held by or for the
account of the Company or any Subsidiary, and shall include all shares issuable
in respect of outstanding scrip or any certificates representing fractional
interests in shares of Common Stock.

          "Person" shall mean any individual, sole proprietorship, partnership,
limited liability company, joint venture, trust, incorporated organization,
association, corporation, institution, public benefit corporation, entity or
government (whether federal, state, county, city, municipal or otherwise,
including, without limitation, any instrumentality, division, agency, body or
department thereof).

          "Restricted Common Stock" shall mean shares of Common Stock which are,
or which upon their issuance on the exercise of this Warrant would be, evidenced
by a certificate bearing the restrictive legend set forth in Section 8.2(a)
hereof.

          "Securities Act" shall mean the Securities Act of 1933, as amended,
and the rules and regulations of the Commission thereunder, all as the same
shall be in effect at the time.

          "Series A Preferred Stock" shall mean the Series A Convertible
Preferred Stock of the Company.

          "Series B Preferred Stock" shall mean the Series B Preferred Stock of
the Company.

          "Share Withholding Option" has the meaning set forth in Section 2.1
hereof.

          "Subsidiary" shall mean any corporation, association or other business
entity (i) at least 50% of the outstanding voting securities of which are at the
time owned or controlled directly or indirectly by the Company; or (ii) with
respect to which the Company possesses, directly or indirectly, the power to
direct or cause the direction of the affairs or management of such person.

          "Transfer" shall mean any disposition of any Warrant or Warrant Stock
or of any interest therein, which would constitute a "sale" thereof or a
transfer of a beneficial interest therein within the meaning of the Securities
Act.

          "Warrant Price" shall mean an amount equal to (i) the number of shares
of Common Stock being purchased upon exercise of this Warrant pursuant to
Section 2.1 hereof, multiplied by (ii) the Exercise Price as of the date of such
exercise.

          "Warrants" shall mean the Original Warrants and all warrants issued
upon transfer, division or combination of, or in substitution for, such Original
Warrants, and any additional Warrants issued together with shares of Series A
Preferred Stock paid as dividends, or any other such Warrant.  All Warrants
shall at all times be identical as to terms and conditions, except as to

                                       6
<PAGE>

the number of shares of Common Stock for which they may be exercised and their
date of issuance.

          "Warrant Stock" generally shall mean the shares of Common Stock
issued, issuable or both (as the context may require) upon the exercise of
Warrants.


2.   EXERCISE OF WARRANT
     -------------------

          2.1  Manner of Exercise.  (a)  From and after the Original Issue Date
               ------------------
and until 5:00 P.M., New York time, on the Expiration Date, the Holder of this
Warrant may from time to time exercise this Warrant, on any Business Day, for
all or any part of the number of shares of Common Stock purchasable hereunder
(as determined pursuant to Section 2.2 below).  In order to exercise this
Warrant, in whole or in part, the Holder shall (i) deliver to the Company at its
Designated Office a written notice of the Holder's election to exercise this
Warrant (an "Exercise Notice"), which Exercise Notice shall be irrevocable and
             ---------------
specify the number of shares of Common Stock to be purchased, together with this
Warrant and (ii) pay to the Company the Warrant Price (the date on which both
such delivery and payment shall have first taken place being hereinafter
sometimes referred to as the "Exercise Date").  Such Exercise Notice shall be in
                              -------------
the form of the subscription form appearing at the end of this Warrant as Annex
                                                                          -----
A, duly executed by the Holder or its duly authorized agent or attorney.
- -

          (b)  Upon receipt by the Company of such Exercise Notice, Warrant and
payment, the Company shall, as promptly as practicable, and in any event within
five (5) Business Days thereafter, execute (or cause to be executed) and deliver
(or cause to be delivered) to the Holder a certificate or certificates
representing the aggregate number of full shares of Common Stock issuable upon
such exercise, together with cash in lieu of any fraction of a share, as
hereafter provided.  The stock certificate or certificates so delivered shall
be, to the extent possible, in such denomination or denominations as the
exercising Holder shall reasonably request in the Exercise Notice and shall be
registered in the name of the Holder or, subject to Section 8 below, such other
name as shall be designated in the Exercise Notice.  This Warrant shall be
deemed to have been exercised and such certificate or certificates shall be
deemed to have been issued, and the Holder or any other Person so designated to
be named therein shall be deemed to have become a holder of record of such
shares for all purposes, as of the Exercise Date.

          (c)  Payment of the Warrant Price shall be made at the option of the
Holder by one or more of the following methods: (i) by delivery of a certified
or official bank check in the amount of such Warrant Price payable to the order
of the Company, (ii) by instructing the Company to withhold a number of shares
of Warrant Stock then issuable upon exercise of this Warrant with an aggregate
Fair Value equal to such Warrant Price (the "Share Withholding Option"), or
                                             ------------------------
(iii) by surrendering to the Company shares of Common Stock previously acquired
by the Holder with an aggregate Fair Value equal to such Warrant Price.  In the
event of any withholding of Warrant Stock or surrender of Common Stock pursuant
to clause (ii) or (iii) above where the number of shares whose Fair Value is
equal to the Warrant Price is not a whole number, the number of shares withheld
by or surrendered to the Company shall be rounded up to

                                       7
<PAGE>

the nearest whole share and the Company shall make a cash payment to the Holder
based on the incremental fraction of a share being so withheld by or surrendered
to the Company in an amount determined in accordance with Section 2.3 hereof.

          (d)  If this Warrant shall have been exercised in part, the Company
shall, at the time of delivery of the certificate or certificates representing
the shares of Common Stock being issued, deliver to the Holder a new Warrant
evidencing the rights of the Holder to purchase the unpurchased shares of Common
Stock called for by this Warrant.  Such new Warrant shall in all other respects
be identical to this Warrant.  Notwithstanding any provision herein to the
contrary, the Company shall not be required to register shares of Common Stock
in the name of any Person who acquired this Warrant (or part hereof) or any
shares of Warrant Stock otherwise than in accordance with this Warrant.

          (e)  All Warrants delivered for exercise shall be canceled by the
Company.

          2.2  Payment of Taxes.  All shares of Common Stock issuable upon the
               ----------------
exercise of this Warrant pursuant to the terms hereof shall be validly issued,
fully paid and nonassessable, issued without violation of any preemptive rights
and free and clear of all Liens (other than any created by actions of the
Holder).  The Company shall pay all expenses in connection with, and all taxes
and other governmental charges that may be imposed with respect to, the issue or
delivery thereof, unless such tax or charge is imposed by law upon the Holder,
in which case such taxes or charges shall be paid by the Holder and the Company
shall reimburse the Holder therefor on an After-Tax Basis.  The Company shall
not, however, be required to pay any tax or governmental charge which may be
payable in respect of any Transfer involved in the issue and delivery of shares
of Common Stock issuable upon exercise of the Warrant in a name other than that
of the holder of the Warrants to be exercised, and no such issue or delivery
shall be made unless and until the Person requesting such issue has paid to the
Company the amount of any such tax, or has established to the satisfaction of
the Company that such tax has been paid.

          2.3  Fractional Shares.  The Company shall not be required to issue a
               -----------------
fractional share of Common Stock upon exercise of any Warrant.  As to any
fraction of a share that the Holder of one or more Warrants, the rights under
which are exercised in the same transaction, would otherwise be entitled to
purchase upon such exercise, the Company shall pay to such Holder an amount in
cash equal to such fraction multiplied by (i) the Current Market Price of one
share of Common Stock on the Exercise Date, if the Common Stock is then publicly
traded, or (ii) the Book Value per share of Common Stock based on the most
recent available consolidated balance sheet of the Company, if the Common Stock
is not then publicly traded.

          2.4  Reduced Exercise Price.  On the Outside Date, in the event that
               ----------------------
the Company shall not have obtained the approval of its stockholders of the
conversion of the Series B Preferred Stock to Series A Preferred Stock, the
Exercise Price herein shall be reduced to $0.01.

                                       8
<PAGE>

3.   TRANSFER, DIVISION AND COMBINATION
     ----------------------------------

          3.1  Transfer.  Subject to compliance with Section 8 hereof, each
               --------
transfer of this Warrant and all rights hereunder, in whole or in part, shall be
registered on the books of the Company to be maintained for such purpose, upon
surrender of this Warrant at the Designated Office, together with a written
assignment of this Warrant in the form of Annex B hereto duly executed by the
                                          -------
Holder or its agent or attorney and funds sufficient to pay any transfer taxes
described in Section 2.2 in connection with the making of such transfer.  Upon
such surrender and delivery and, if required, such payment, the Company shall,
subject to Section 8, execute and deliver a new Warrant or Warrants in the name
of the assignee or assignees and in the denominations specified in such
instrument of assignment, and shall issue to the assignor a new Warrant
evidencing the portion of this Warrant not so assigned and this Warrant shall
promptly be cancelled.  A Warrant, if properly assigned in compliance with
Section 8, may be exercised by the new Holder for the purchase of shares of
Common Stock without having a new Warrant issued.

          3.2  Division and Combination.  Subject to compliance with the
               ------------------------
applicable provisions of this Warrant including, without limitation, Section 8,
this Warrant may be divided or combined with other Warrants upon presentation
hereof at the Designated Office, together with a written notice specifying the
names and denominations in which new Warrants are to be issued, signed by the
Holder or its agent or attorney.  Subject to compliance with the applicable
provisions of this Warrant as to any transfer which may be involved in such
division or combination, the Company shall execute and deliver a new Warrant or
Warrants in exchange for the Warrant or Warrants to be divided or combined in
accordance with such notice.

          3.3  Expenses.  The Company shall prepare, issue and deliver at its
               --------
own expense any new Warrant or Warrants required to be issued under this Section
3.

          3.4  Maintenance of Books.  The Company agrees to maintain, at the
               --------------------
Designated Office, books for the registration and transfer of the Warrants
(other than pursuant to Section 2.2 hereof).


4.   ANTIDILUTION PROVISIONS
     -----------------------

          The number of shares of Common Stock for which this Warrant is
exercisable and the Exercise Price shall be subject to adjustment from time to
time as set forth in this Section 4.

          4.1  Upon Issuance of Common Stock.  If the Company shall, at any time
               -----------------------------
or from time to time after the Original Issuance Date, issue any shares of
Common Stock, options to purchase or rights to subscribe for Common Stock,
securities by their terms convertible into or exchangeable for Common Stock, or
options to purchase or rights to subscribe for such convertible or exchangeable
securities, other than shares of Series A Preferred Stock, Series B Preferred
Stock or Excluded Stock, without consideration or for consideration per share
less than either (x) the Exercise Price or (y) the Fair Value of the Common
Stock, in effect immediately

                                       9
<PAGE>

prior to the issuance of such Common Stock or securities, then such Exercise
Price shall forthwith be lowered to a price equal to the price obtained by
multiplying:

                   (i)   the Exercise Price in effect immediately prior to the
          issuance of such Common Stock or securities by

                   (ii)  a fraction of which (x) the denominator shall be the
          number of shares of Common Stock outstanding on a fully-diluted basis
          immediately after such issuance and (y) the numerator shall be the sum
          of (i) the number of shares of Common Stock outstanding on a fully-
          diluted basis immediately prior to the date of such issuance and (ii)
          the number of additional shares of Common Stock which the aggregate
          consideration for the number of shares of Common Stock so offered
          would purchase at the greater of the Exercise Price or the Fair Value
          per share of Common Stock.

          For purposes of this Section 4, "fully diluted basis" shall be
determined in accordance with the treasury method of GAAP.

          4.2  Upon Acquisition of Common Stock.  If the Company or any
               --------------------------------
Subsidiary shall, at any time or from time to time after the Original Issuance
Date, directly or indirectly, redeem, purchase or otherwise acquire any shares
of Common Stock, options to purchase or rights to subscribe for Common Stock,
securities by their terms convertible into or exchangeable for Common Stock
(other than shares of Series A Preferred Stock or Series B Preferred Stock that
are redeemed according to their terms), or options to purchase or rights to
subscribe for such convertible or exchangeable securities, for a consideration
per share greater than the Fair Value (plus, in the case of such options,
rights, or securities, the additional consideration required to be paid to the
Company upon exercise, conversion or exchange) for shares of Common Stock in
effect immediately prior to such event, then the Exercise Price shall forthwith
be lowered to a price equal to the price obtained by multiplying:

                   (i)   the Exercise Price in effect immediately prior to such
          event by

                   (ii)  a fraction of which (x) the denominator shall be the
          Fair Value per share of Common Stock immediately prior to such event
          and (y) the numerator shall be the result of dividing:

                         (A)  (1) the product of (a) the number of shares of
                              Common Stock outstanding on a fully-diluted basis
                              and (b) the Fair Value per share of Common Stock,
                              in each case immediately prior to such event,
                              minus (2) the aggregate consideration paid by the
                              Company in such event (plus, in the case of such
                              options, rights, or convertible or exchangeable
                              securities, the aggregate additional

                                       10
<PAGE>

                               consideration to be paid by the Company upon
                               exercise, conversion or exchange), by

                          (B)  the number of shares of Common Stock outstanding
                               on a fully-diluted basis immediately after such
                               event.

          4.3  Provisions Applicable to Adjustments.  For the purposes of any
               ------------------------------------
adjustment of an Exercise Price pursuant to Sections 4.1 and 4.2, the following
provisions shall be applicable:

                   (i)    In the case of the issuance of Common Stock for cash
          in a public offering or private placement, the consideration shall be
          deemed to be the amount of cash paid therefor before deducting
          therefrom any discounts, commissions or placement fees payable by the
          Company to any underwriter or placement agent in connection with the
          issuance and sale thereof.

                   (ii)   In the case of the issuance of Common Stock for a
          consideration in whole or in part other than cash, the consideration
          other than cash shall be deemed to be the Fair Value thereof as
          determined in accordance with the Appraisal Procedure.

                   (iii)  In the case of the issuance of options to purchase or
     rights to subscribe for Common Stock, securities by their terms convertible
     into or exchangeable for Common Stock, or options to purchase or rights to
     subscribe for such convertible or exchangeable securities, except for
     shares of Series A Preferred Stock, shares of Series B Preferred Stock and
     options to acquire Excluded Stock:

                          (A)  the aggregate maximum number of shares of Common
                               Stock deliverable upon exercise of such options
                               to purchase or rights to subscribe for Common
                               Stock shall be deemed to have been issued at the
                               time such options or rights were issued and for a
                               consideration equal to the consideration
                               (determined in the manner provided in
                               subparagraphs (i) and (ii) above), if any,
                               received by the Company upon the issuance of such
                               options or rights plus the minimum purchase price
                               provided in such options or rights for the Common
                               Stock covered thereby;

                          (B)  the aggregate maximum number of shares of Common
                               Stock deliverable upon conversion of or in
                               exchange of any such convertible or exchangeable
                               securities or upon the exercise of options to
                               purchase or rights to subscribe for such
                               convertible or exchangeable securities and
                               subsequent conversion or exchange thereof shall
                               be deemed to have been issued at the time such
                               securities, options, or rights

                                       11
<PAGE>

                               were issued and for a consideration equal to the
                               consideration received by the Company for any
                               such securities and related options or rights
                               (excluding any cash received on account of
                               accrued interest or accrued dividends), plus the
                               additional consideration, if any, to be received
                               by the Company upon the conversion or exchange of
                               such securities or the exercise of any related
                               options or rights (the consideration in each case
                               to be determined in the manner provided in
                               paragraphs (i) and (ii) above) and

                          (C)  on any change in the number of shares or exercise
                               price of Common Stock deliverable upon exercise
                               of any such options or rights or conversions of
                               or exchanges for such securities, other than a
                               change resulting from the antidilution provisions
                               thereof, the applicable Exercise Price shall
                               forthwith be readjusted to such Exercise Price as
                               would have been obtained had the adjustment made
                               upon the issuance of such options, rights or
                               securities not converted prior to such change or
                               options or rights related to such securities not
                               converted prior to such change been made upon the
                               basis of such change.

                          (D)  No further adjustment of the Exercise Price
                               adjusted upon the issuance of any such options,
                               rights, convertible securities or exchangeable
                               securities shall be made as a result of the
                               actual issuance of Common Stock on the exercise
                               of any such rights or options or any conversion
                               or exchange of any such securities.

          4.4  Upon Stock Dividends or Splits.  If, at any time after the
               ------------------------------
Original Issuance Date, the number of shares of Common Stock outstanding is
increased by a stock dividend payable in shares of Common Stock or by a
subdivision or split-up of shares of Common Stock, then, following the record
date for the determination of holders of Common Stock entitled to receive such
stock dividend, or to be affected by such subdivision or split-up, the Exercise
Price shall be appropriately decreased so that the number of shares of Common
Stock purchasable on exercise of the Warrants shall be increased in proportion
to such increase in outstanding shares.

          4.5  Upon Combinations.  If, at any time after the Original Issuance
               -----------------
Date, the number of shares of Common Stock outstanding is decreased by a
combination of the outstanding shares of Common Stock into a smaller number of
shares of Common Stock, then, following the record date to determine shares
affected by such combination, the Exercise Price shall be appropriately
increased so that the number of shares of Common Stock purchasable on exercise
of each of the Warrants shall be decreased in proportion to such decrease in
outstanding shares.

                                       12
<PAGE>

          4.6  Upon Reclassifications, Reorganizations, Consolidations or
               ----------------------------------------------------------
Mergers.  In the event of any capital reorganization of the Company, any
- -------
reclassification of the stock of the Company (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 stock dividend or subdivision, split-up or combination of shares),
or any consolidation or merger of the Company with or into another corporation
(where the Company is not the surviving corporation or where there is a change
in or distribution with respect to the Common Stock), each Warrant shall after
such reorganization, reclassification, consolidation, or merger be exercisable
for the kind and number of shares of stock or other securities or property of
the Company or of the successor corporation resulting from such consolidation or
surviving such merger, if any, to which the holder of the number of shares of
Common Stock deliverable (immediately prior to the time of such reorganization,
reclassification, consolidation or merger) upon exercise of such Warrant would
have been entitled upon such reorganization, reclassification, consolidation or
merger.  The provisions of this clause shall similarly apply to successive
reorganizations, reclassifications, consolidations, or mergers.

          4.7  Deferral in Certain Circumstances.  In any case in which the
               ---------------------------------
provisions of this Section 4 shall require that an adjustment shall become
effective immediately after a record date of an event, the Company may defer
until the occurrence of such event issuing to the holder of any Warrant
exercised after such record date and before the occurrence of such event the
shares of capital stock issuable upon such exercise by reason of the adjustment
required by such event and issuing to such holder only the shares of capital
stock issuable upon such exercise before giving effect to such adjustments;
provided, however, that the Company shall deliver to such holder an appropriate
- --------  -------
instrument or due bills evidencing such holder's right to receive such
additional shares.

          4.8  Other Anti-Dilution Provisions.  If the Company has issued or
               ------------------------------
issues any securities on or after the Original Issuance Date containing
provisions protecting the holder or holders thereof against dilution in any
manner more favorable to such holder or holders thereof than those set forth in
this Section 4, such provisions (or any more favorable portion thereof) shall be
deemed to be incorporated herein as if fully set forth in this Warrant and, to
the extent inconsistent with any provision of this Warrant, shall be deemed to
be substituted therefor.

          4.9  Appraisal Procedure.  In any case in which the provisions of this
               -------------------
Section 4 shall necessitate that the Appraisal Procedure be utilized for
purposes of determining an adjustment to the Exercise Price, the Company may
defer until the completion of the Appraisal Procedure and the determination of
the adjustment (1) issuing to the holder of any Warrant exercised after the date
of the event that requires the adjustment and before completion of the Appraisal
Procedure and the determination of the adjustment, the shares of capital stock
issuable upon such exercise by reason of the adjustment required by such event
and issuing to such holder only the shares of capital stock issuable upon such
exercise before giving effect to such adjustment and (2) paying to such holder
any amount in cash in lieu of a fractional share of capital stock pursuant to
Section 2.3 above; provided, however, that the Company shall deliver to such
                   --------  -------
holder an appropriate instrument or due bills evidencing such holder's right to
receive such additional shares or cash.

                                       13
<PAGE>

          4.10  Adjustment of Number of Shares Purchasable.  Upon any adjustment
                ------------------------------------------
of the Exercise Price as provided in Section 4.1, 4.2, 4.4, 4.5 or 4.6, the
holders of the Warrants shall thereafter be entitled to purchase upon the
exercise thereof, at the Exercise Price resulting from such adjustment, the
number of shares of Common Stock (calculated to the nearest 1/100th of a share)
obtained by multiplying the Exercise Price in effect immediately prior to such
adjustment by the number of shares of Common Stock issuable on the exercise
hereof immediately prior to such adjustment and dividing the product thereof by
the Exercise Price resulting from such adjustment.

          4.11  Exceptions.  Section 4 shall not apply to (i) any issuance of
                ----------
Common Stock upon exercise of any warrants or options (A) outstanding on the
Original Issuance Date or (B) awarded to employees or directors of the Company
pursuant to an employee stock option plan or stock incentive plan approved by
the Board of Directors; (ii) any issuance of securities by the Company in
underwritten public offerings; and (iii) repurchases by the Company of Common
Stock approved by the Board of Directors (collectively, the "Excluded Stock").
                                                             --------------

           4.12  Notice of Adjustment of Exercise Price.  Whenever the Exercise
                 --------------------------------------
Price is adjusted as herein provided:

                   (i)   the Company shall compute the adjusted Exercise Price
          in accordance with this Section 4 and shall prepare a certificate
          signed by the Treasurer or Chief Financial Officer of the Company
          setting forth the adjusted Exercise Price and showing in reasonable
          detail the facts upon which such adjustment is based, and such
          certificate shall forthwith be filed at each office or agency
          maintained for such purpose or exercise of Warrants; and

                   (ii)  a notice stating that the Exercise Price has been
          adjusted and setting forth the adjusted Exercise Price shall forthwith
          be prepared by the Company, and as soon as practicable after it is
          prepared, such notice shall be mailed by the Company at its expense to
          all Holders at their last addresses as they shall appear in the stock
          register.


5.   NO IMPAIRMENT; REGULATORY COMPLIANCE AND COOPERATION; NOTICE OF EXPIRATION
     --------------------------------------------------------------------------

          (a)  The Company shall not by any action, including, without
limitation, amending its charter documents or through any reorganization,
reclassification, transfer of assets, consolidation, merger, dissolution, issue
or sale of securities or any other similar voluntary action, avoid or seek to
avoid the observance or performance of any of the terms of this Warrant, but
will at all times in good faith assist in the carrying out of all such terms and
in the taking of all such actions as may be necessary or appropriate to protect
the rights of the Holder against impairment. Without limiting the generality of
the foregoing, the Company shall take all such action as may be necessary or
appropriate in order that the Company may validly and legally issue fully paid
and nonassessable shares of Common Stock upon the exercise of this Warrant, free
and clear of all Liens, and shall use its best efforts to obtain all such
authorizations, exemptions or consents from

                                       14
<PAGE>

any public regulatory body having jurisdiction thereof as may be necessary to
enable the Company to perform its obligations under this Warrant.

          (b)  The Company shall deliver to each Holder of Warrants on or before
six months prior to the tenth anniversary of the Original Issue Date, but no
earlier than nine months prior to the tenth anniversary of the Original Issue
Date, advance notice of such tenth anniversary and of the anticipated Expiration
Date.  If the Company fails to fulfill in a timely manner the notice obligation
set forth in the prior sentence, it shall provide such notice as soon as
possible thereafter.


6.   RESERVATION AND AUTHORIZATION OF COMMON STOCK; REGIS TRATION WITH OR
     --------------------------------------------------------------------
     APPROVAL OF ANY GOVERNMENTAL AUTHORITY
     --------------------------------------

          From and after the Original Issue Date, the Company shall at all times
reserve and keep available for issuance upon the exercise of the Warrants such
number of its authorized but unissued shares of Common Stock as will be
sufficient to permit the exercise in full of all outstanding Warrants.  All
shares of Common Stock issuable pursuant to the terms hereof, when issued upon
exercise of this Warrant with payment therefor in accordance with the terms
hereof, shall be duly and validly issued and fully paid and nonassessable, not
subject to preemptive rights and shall be free and clear of all Liens.  Before
taking any action that would result in an adjustment in the number of shares of
Common Stock for which this Warrant is exercisable or in the Exercise Price, the
Company shall obtain all such authorizations or exemptions thereof, or consents
thereto, as may be necessary from any public regulatory body or bodies having
jurisdiction over such action.  If any shares of Common Stock required to be
reserved for issuance upon exercise of Warrants require registration or
qualification with any governmental authority under any federal or state law
(other than under the Securities Act or any state securities law) before such
shares may be so issued, the Company will in good faith and as expeditiously as
possible and at its expense endeavor to cause such shares to be duly registered.


7.   NOTICE OF CORPORATE ACTIONS; TAKING OF RECORD; TRANSFER BOOKS
     -------------------------------------------------------------

          7.1  Notices of Corporate Actions.
               ----------------------------

               In case:

               (a)  the Company shall take an action or an event shall occur,
          that would require an Exercise Price adjustment pursuant to Section 4;
          or

               (b)  the Company shall grant to the holders of its Common Stock
          rights or warrants to subscribe for or purchase any shares of capital
          stock of any class; or

               (c)  of any reclassification of the Common Stock (other than a
          subdivision or combination of the outstanding shares of Common Stock),
          or of any

                                       15
<PAGE>

          consolidation, merger or share exchange to which the Company is a
          party and for which approval of any stockholders of the Company is
          required, or of the sale or transfer of all or substantially all of
          the assets of the Company; or

               (d)  of the voluntary or involuntary dissolution, liquidation or
          winding up of the Company; or

               (e)  the Company or any Subsidiary shall commence a tender offer
          for all or a portion of the outstanding shares of Common Stock (or
          shall amend any such tender offer to change the maximum number of
          shares being sought or the amount or type of consideration being
          offered therefor);

then the Company shall cause to be filed at each office or agency maintained for
such purpose, and shall cause to be mailed to all holders at their last
addresses as they shall appear in the stock register, at least 30 days prior to
the applicable record, effective or expiration date hereinafter specified, a
notice stating (x) the date on which a record is to be taken for the purpose of
such dividend, distribution or granting 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
who will be entitled to such dividend, distribution, rights or warrants are to
be determined, (y) the date on which such reclassification, consolidation,
merger, share exchange, sale, transfer, dissolution, liquidation or winding up
is expected to become effective, and the date as of which it is expected that
holders of Common Stock of record shall be entitled to exchange their shares of
Common Stock for securities, cash or other property deliverable upon such
reclassification, consolidation, merger, share exchange, sale, transfer,
dissolution, liquidation or winding up, or (z) the date on which such tender
offer commenced, the date on which such tender offer is scheduled to expire
unless extended, the consideration offered and the other material terms thereof
(or the material terms of the amendment thereto).  Such notice shall also set
forth such facts with respect thereto as shall be reasonably necessary to
indicate the effect of such action on the Exercise Price and the number and kind
or class of shares or other securities or property which shall be deliverable or
purchasable upon the occurrence of such action or deliverable upon exercise of
the Warrants. Neither the failure to give any such notice nor any defect therein
shall affect the legality or validity of any action described in clauses (a)
through (e) of this Section 7.1.

          7.2  Taking of Record.  In the case of all dividends or other
               ----------------
distributions by the Company to the holders of its Common Stock with respect to
which any provision of any Section hereof refers to the taking of a record of
such holders, the Company will in each such case take such a record and will
take such record as of the close of business on a Business Day.

          7.3  Closing of Transfer Books.  The Company shall not at any time,
               -------------------------
except upon dissolution, liquidation or winding up of the Company, close its
stock transfer books or Warrant transfer books so as to result in preventing or
delaying the exercise or transfer of any Warrant.

                                       16
<PAGE>

8.   TRANSFER RESTRICTIONS
     ---------------------

          The Holder, by acceptance of this Warrant, agrees to be bound by the
provisions of this Section 8.

          8.1  Restrictions on Transfers.  Neither this Warrant nor any shares
               -------------------------
of Restricted Common Stock issued upon the exercise hereof shall be transferred,
sold, assigned, exchanged, mortgaged, pledged, hypothecated or otherwise
disposed of or encumbered without compliance with the provisions of, and are
otherwise restricted by the provisions of, the Securities Act, the rules and
regulations thereunder and this Warrant.  Each certificate, if any, evidencing
such shares of Restricted Common Stock issued upon any such Transfer, other than
in a public offering pursuant to an effective registration statement, shall bear
the restrictive legend set forth in Section 8.2(a), and each Warrant issued upon
such Transfer shall bear the restrictive legend set forth in Section 8.2(b),
unless the Holder delivers to the Company an Opinion of Counsel to the effect
that such legend is not required for the purposes of compliance with the
Securities Act.  Holders of the Warrants or the Restricted Common Stock, as the
case may be, shall not be entitled to Transfer such Warrants or such Restricted
Common Stock except in accordance with this Section 8.1.

          8.2  Restrictive Legends.  (a)  Except as otherwise provided in this
               -------------------
Section 8, each certificate for Warrant Stock initially issued upon the exercise
of this Warrant, and each certificate for Warrant Stock issued to any subsequent
transferee of any such certificate, shall be stamped or otherwise imprinted with
two legends in substantially the following forms:

     "THE SHARES REPRESENTED BY THIS CERTIFICATE HAVE NOT BEEN REGISTERED
     UNDER THE SECURITIES ACT OF 1933, AS AMENDED (THE "ACT"), OR ANY
     STATE SECURITIES LAW. THE SHARES REPRESENTED BY THIS CERTIFICATE MAY
     NOT BE TRANSFERRED, SOLD, ASSIGNED, EXCHANGE, MORTGAGE, PLEDGED,
     HYPOTHECATED OF OTHERWISE DISPOSED OF OR ENCUMBERED WITHOUT
     COMPLIANCE WITH THE PROVISIONS OF, AND ARE OTHERWISE RESTRICTED BY
     THE PROVISIONS OF, THE ACT AND THE RULES AND REGULATIONS
     THEREUNDER."

     "THE SHARES REPRESENTED BY THIS CERTIFICATE ARE ENTITLED TO THE
     BENEFIT OF AND ARE SUBJECT TO CERTAIN OBLIGATIONS SET FORTH IN A
     CERTAIN SERIES 2-A WARRANT DATED JUNE 4, 1999, ORIGINALLY ISSUED BY
     RARE MEDIUM GROUP, INC. (THE "WARRANT") PURSUANT TO THE EXERCISE OF
     WHICH SUCH SHARES WERE ISSUED. A COPY OF THE WARRANT IS AVAILABLE AT
     THE EXECUTIVE OFFICES OF RARE MEDIUM GROUP, INC."

          (b)  Except as otherwise provided in this Section 8, each Warrant
shall be stamped or otherwise imprinted with a legend in substantially the
following form:

                                       17
<PAGE>

     "NEITHER THIS SERIES 2-A WARRANT NOR ANY OF THE SECURITIES ISSUABLE
     UPON EXERCISE HEREOF HAVE BEEN REGISTERED UNDER THE SECURITIES ACT
     OF 1933, AS AMENDED (THE "ACT"), OR ANY STATE SECURITIES LAW. THE
     SERIES 2-A WARRANTS REPRESENTED BY THIS CERTIFICATE AND THE STOCK
     ISSUABLE UPON EXERCISE HEREOF MAY NOT BE TRANSFERRED, SOLD,
     ASSIGNED, EXCHANGED, MORTGAGED, PLEDGED, HYPOTHECATED OF OTHERWISE
     DISPOSED OF OR ENCUMBERED WITHOUT COMPLIANCE WITH THE PROVISIONS OF,
     AND ARE OTHERWISE RESTRICTED BY THE PROVISIONS OF, THE ACT, THE
     RULES AND REGULATIONS THEREUNDER AND THIS WARRANT."

          8.3  Termination of Securities Law Restrictions.  Notwithstanding the
               ------------------------------------------
foregoing provisions of this Section 8, the restrictions imposed by Section
8.1(b) upon the transferability of the Warrants and the Restricted Common Stock
and the legend requirements of Section 8.2 shall terminate as to any particular
Warrant or shares of Restricted Common Stock when the Company shall have
received from the Holder thereof an Opinion of Counsel to the effect that such
legend is not required in order to ensure compliance with the Securities Act.
Whenever the restrictions imposed by Sections 8.1(b) and 8.2 shall terminate as
to this Warrant, as hereinabove provided, the Holder hereof shall be entitled to
receive from the Company, at the expense of the Company, a new Warrant bearing
the following legend in place of the restrictive legend set forth hereon:

          "THE RESTRICTIONS ON TRANSFERABILITY OF THE WITHIN SERIES 2-A
     WARRANT CONTAINED IN SECTIONS 8.1(b) AND 8.2 HEREOF TERMINATED ON
     ______________, 20__, AND ARE OF NO FURTHER FORCE AND EFFECT."

All Warrants issued upon registration of transfer, division or combination of,
or in substitution for, any Warrant or Warrants entitled to bear such legend
shall have a similar legend endorsed thereon.  Whenever the restrictions imposed
by this Section shall terminate as to any share of Restricted Common Stock, as
hereinabove provided, the Holder thereof shall be entitled to receive from the
Company, at the Company's expense, a new certificate representing such Common
Stock not bearing the restrictive legend set forth in Section 8.2(a).


9.   LOSS OR MUTILATION
     ------------------

          Upon receipt by the Company from any Holder of evidence reasonably
satisfactory to it of the ownership of and the loss, theft, destruction or
mutilation of this Warrant and an indemnity reasonably satisfactory to it (it
being understood that the written indemnification agreement of or affidavit of
loss of the Apollo Stockholders, shall be a sufficient indemnity) and, in case
of mutilation, upon surrender and cancellation hereof, the Company will execute
and deliver in lieu hereof a new Warrant of like tenor to such Holder; provided,
                                                                       --------
however, that, in the case of mutilation, no indemnity shall be required if this
- -------
Warrant in identifiable form is surrendered to the Company for cancellation.

                                       18
<PAGE>

10.  OFFICE OF THE COMPANY
     ---------------------

          As long as any of the Warrants remain outstanding, the Company shall
maintain an office or agency, which may be the principal executive offices of
the Company (the "Designated Office"), where the Warrants may be presented for
                  -----------------
exercise, registration of transfer, division or combination as provided in this
Warrant.  Such Designated Office shall initially be the office of the Company at
44 West 18th Street, 6th Floor, New York, New York 10011.  The Company may from
time to time change the Designated Office to another office of the Company or
its agent within the United States by notice given to all registered Holders at
least ten (10) Business Days prior to the effective date of such change.


11.  FINANCIAL AND BUSINESS INFORMATION
     ----------------------------------

          (a)  Financial Reports.
               -----------------

          Until (i) the Company shall no longer be required to deliver financial
reports in connection with the Series A Preferred Stock, or (ii) the Expiration
Date, whichever first occurs, the Company shall furnish to Apollo Investment
Fund IV, L.P. the following:

               (i)   Monthly Reports.  As soon as available, but not later than
                     ---------------
      30 days after the end of each fiscal month, a consolidated balance sheet
     of the Company as of the end of such period and consolidated statements of
     income of the Company for such period and for the period commencing at the
     end of the previous fiscal year and ending with the end of such period,
     setting forth in each case in comparative form the corresponding figures
     for the corresponding period of the preceding fiscal year, and including
     comparisons to the budget or business plan and an analysis of the variances
     from the budget or plan, all prepared in accordance with generally accepted
     accounting principals consistently applied (except for the absence of
     footnotes and year-end adjustments).

               (ii)  Quarterly Reports. As soon as available, but not later than
                     -----------------
     45 days after the end of each quarterly accounting period, (A) a
     consolidated balance sheet of the Company as of the end of such period and
     consolidated statements of income, cash flows and changes in shareholders'
     equity for such quarterly accounting period and for the period commencing
     at the end of the previous fiscal year and ending with the end of such
     period, setting forth in each case in comparative form the corresponding
     figures for the corresponding period of the preceding fiscal year, and
     including comparisons to the budget or business plan and an analysis of the
     variances from the budget or plan, all prepared in accordance with
     generally accepted accounting principals consistently applied, subject to
     normal year-end adjustments and the absence of footnote disclosure, and (B)
     a report by management of the Company of the operating and financial
     highlights of the Company and its Subsidiaries for such period, which shall
     include (x) a comparison between operating and financial results and budget
     and (y) an analysis of the operations of the Company and its Subsidiaries
     for such period.

                                       19
<PAGE>

               (iii)  Annual Audit.  As soon as available, but not later than 90
                      ------------
     days after the end of each fiscal year of the Company, audited consolidated
     financial statements of the Company, which shall include statements of
     income, cash flows and changes in shareholders' equity for such fiscal year
     and a balance sheet as of the last day thereof, each prepared in accordance
     with generally accepted accounting principles, consistently applied, and
     accompanied by the report of a "Big 5" firm of independent certified public
     accountants selected by the Company's Board of Directors (the
     "Accountants").  The Company and its Subsidiaries shall maintain a system
      -----------
     of accounting sufficient to enable its Accountants to render the report
     referred to in this Section 11(b)(iii).

               (iv)   Miscellaneous.  Promptly upon becoming available, each of
                      -------------
     the following:

               (A)    copies of all financial statements, reports, press
     releases, notices, proxy statements and other documents sent by the Company
     or its Subsidiaries to its shareholders generally or released to the public
     and copies of all regular and periodic reports, if any, filed by the
     Company or its Subsidiaries with the SEC, any securities exchange or the
     NASD;

               (B)    notification in writing of the existence of any default
     under any material agreement or instrument to which the Company or any of
     its Subsidiaries is a party or by which any of their assets are bound;

               (C)    upon request, copies of all reports prepared for or
     delivered to the management of the Company or its Subsidiaries by its
     accountants; and

               (D)    upon request, any other routinely collected financial or
     other information available to management of the Company or its
     Subsidiaries (including, without limitation, routinely collected
     statistical data).

          (b)  Other Holders. Without duplication of any document or information
               -------------
provided pursuant to this Section 12, the Company shall provide to each Holder
of Warrants or Warrant Stock the following:

               (i)    as soon as available, but not later than 45 days after the
     end of each quarterly accounting period, a Form 10-Q or, if the Company
     does not then file quarterly reports with the SEC, the documents referred
     to in Section 11(a)(ii).

               (ii)   as soon as available, but not later than 90 days after the
     end of each fiscal year, a Form 10-K or, if the Company does not then file
     annual reports with the SEC, the audited consolidated financial statements
     referred to in Section 11(a)(iii).

               (iii)  simultaneously with any distribution of any document to
     the stockholders of the Company generally, any such document so
     distributed.

                                       20
<PAGE>

12.  DILUTION FEE
     ------------

          In the event any dividends are declared with respect to the Common
Stock, the holder of this Warrant as of the record date established by the Board
of Directors for such dividend shall be entitled to receive as a dilution fee
(the "Dilution Fee") an amount (whether in the form of cash, securities or other
      ------------
property) equal to the amount (and in the form) of the dividends that such
holder would have received had this Warrant been exercised for purchase of
Common Stock as of the record date of such dividend, such Dilution Fee to be
payable on the payment date of the dividend established by the Board of
Directors (the "Dilution Fee Payment Date").  The record date for any such
                -------------------------
Dilution Fee shall be the record date for the applicable dividend, and any such
Dilution Fee shall be payable to the persons in whose name this Warrant is
registered at the close of business on the applicable record date.


13.  MISCELLANEOUS
     -------------

          13.1  Nonwaiver.  No course of dealing or any delay or failure to
                ---------
exercise any right hereunder on the part of the Company or the Holder shall
operate as a waiver of such right or otherwise prejudice the rights, powers or
remedies of such Person.

          13.2  Notice Generally.  Any notice, demand, request, consent,
                ----------------
approval, declaration, delivery or communication hereunder to be made pursuant
to the provisions of this Warrant shall be sufficiently given or made if in
writing and either delivered in person with receipt acknowledged or sent by
registered or certified mail, return receipt requested, postage prepaid,
addressed as follows:

          (a)    if to any Holder of this Warrant or of Warrant Stock issued
     upon the exercise hereof, at its last known address appearing on the books
     of the Company maintained for such purpose;

          (b)    if to the Company, at the Designated Office;

or at such other address as may be substituted by notice given as herein
provided.  The giving of any notice required hereunder may be waived in writing
by the party entitled to receive such notice.  Every notice, demand, request,
consent, approval, declaration, delivery or other communication hereunder shall
be deemed to have been duly given or served on the date on which personally
delivered, with receipt acknowledged, or three (3) Business Days after the same
shall have been deposited in the United States mail, or one (1) Business Day
after the same shall have been sent by Federal Express or another recognized
overnight courier service.

          13.3  Indemnification.  If the Company fails to make, when due, any
                ---------------
payments provided for in this Warrant, the Company shall pay to the Holder
hereof (a) interest at the Agreed Rate on any amounts due and owing to such
Holder and (b) such further amounts as shall be sufficient to cover any costs
and expenses including, but not limited to, reasonable attorneys' fees and
expenses incurred by such Holder in collecting any amounts due hereunder.  The

                                       21
<PAGE>

Company shall indemnify, save and hold harmless the Holder hereof and the
Holders of any Warrant Stock issued upon the exercise hereof from and against
any and all liability, loss, cost, damage, reasonable attorneys' and
accountants' fees and expenses, court costs and all other out-of-pocket expenses
incurred in connection with or arising from any default hereunder by the
Company.  This indemnification provision shall be in addition to the rights of
such Holder or Holders to bring an action against the Company for breach of
contract based on such default hereunder.

          13.4  Limitation of Liability.  No provision hereof, in the absence of
                -----------------------
affirmative action by the Holder to purchase shares of Common Stock, and no
enumeration herein of the rights or privileges of the Holder hereof, shall give
rise to any liability of such Holder to pay the Exercise Price for any Warrant
Stock other than pursuant to an exercise of this Warrant or any liability as a
stockholder of the Company, whether such liability is asserted by the Company or
by creditors of the Company.

          13.5  Remedies.  Each Holder of Warrants and/or Warrant Stock, in
                --------
addition to being entitled to exercise its rights granted by law, including
recovery of damages, shall be entitled to specific performance of its rights
provided under this Warrant.  The Company agrees that monetary damages would not
be adequate compensation for any loss incurred by reason of a breach by it of
the provisions of this Warrant and hereby agrees, in an action for specific
performance, to waive the defense that a remedy at law would be adequate.

          13.6  Successors and Assigns.  Subject to the provisions of Sections
                ----------------------
3.1, 8.1 and 8.2, this Warrant and the rights evidenced hereby shall inure to
the benefit of and be binding upon the successors of the Company and the
permitted successors and assigns of the Holder hereof. The provisions of this
Warrant are intended to be for the benefit of all Holders from time to time of
this Warrant and to the extent applicable, all Holders of shares of Warrant
Stock issued upon the exercise hereof (including transferees), and shall be
enforceable by any such Holder.

          13.7  Amendment.  This Warrant and all other Warrants may be modified
                ---------
or amended or the provisions hereof waived with the written consent of the
Company and the Majority Warrant Holders, provided that no such Warrant may be
                                          --------
modified or amended to reduce the number of shares of Common Stock for which
such Warrant is exercisable or to increase the price at which such shares may be
purchased upon exercise of such Warrant (before giving effect to any adjustment
as provided therein) without the written consent of the Holder thereof.

          13.8  Severability.  Wherever possible, each provision of this Warrant
                ------------
shall be interpreted in such manner as to be effective and valid under
applicable law, but if any provision of this Warrant shall be prohibited by or
invalid under applicable law, such provision shall be ineffective to the extent
of such prohibition or invalidity, without invalidating the remainder of such
provision or the remaining provisions of this Warrant.

          13.9  Headings.  The headings used in this Warrant are for the
                --------
convenience of reference only and shall not, for any purpose, be deemed a part
of this Warrant.

                                       22
<PAGE>

          13.10  GOVERNING LAW; JURISDICTION.  IN ALL RESPECTS, INCLUDING ALL
                 ---------------------------
MATTERS OF CONSTRUCTION, VALIDITY AND PERFORMANCE, THIS WARRANT AND THE
OBLIGATIONS ARISING HEREUNDER SHALL BE GOVERNED BY, AND CONSTRUED AND ENFORCED
IN ACCORDANCE WITH, THE LAWS OF THE STATE OF NEW YORK APPLICABLE TO CONTRACTS
MADE AND PERFORMED IN SUCH STATE, EXCEPT WITH RESPECT TO THE VALIDITY OF THIS
WARRANT, THE ISSUANCE OF WARRANT STOCK UPON EXERCISE HEREOF AND THE RIGHTS AND
DUTIES OF THE COMPANY WITH RESPECT TO REGISTRATION OF TRANSFER, WHICH SHALL BE
GOVERNED BY THE LAWS OF DELAWARE.  THE COMPANY HEREBY CONSENTS AND AGREES THAT
THE STATE OR FEDERAL COURTS LOCATED IN NEW YORK, SHALL HAVE, EXCEPT AS SET FORTH
BELOW, EXCLUSIVE JURISDICTION TO HEAR AND DETERMINE ANY CLAIMS OR DISPUTES
BETWEEN THE COMPANY AND THE HOLDER OF THIS WARRANT PERTAINING TO THIS WARRANT OR
TO ANY MATTER ARISING OUT OF OR RELATING TO THIS AGREEMENT, PROVIDED, THAT IT IS
                                                            --------
ACKNOWLEDGED THAT ANY APPEALS FROM THOSE COURTS MAY HAVE TO BE HEARD BY A COURT
LOCATED OUTSIDE OF NEW YORK.

                                       23
<PAGE>

          IN WITNESS WHEREOF, the Company has caused this Warrant to be duly
executed and its corporate seal to be impressed hereon and attested by its
Secretary or an Assistant Secretary.


                                    RARE MEDIUM GROUP, INC.


                                    By:_________________________________
                                       Name:
                                       Title:


[SEAL]

Attest:


By:_____________________________
   Name:
   Title:

                                       24
<PAGE>

                                    ANNEX A
                                   --------

                               SUBSCRIPTION FORM
                               -----------------

                [To be executed only upon exercise of Warrant]


          The undersigned registered owner of this Warrant irrevocably exercises
this Warrant for the purchase of ______ shares Common Stock of Rare Medium
Group, Inc. and herewith makes payment therefor in ______________, all at the
price and on the terms and conditions specified in this Warrant and requests
that certificates for the shares of Common Stock hereby purchased (and any
securities or other property issuable upon such exercise) be issued in the name
of and delivered to _________________ whose address is
___________________________________________________ and, if such shares of
Common Stock shall not include all of the shares of Common Stock issuable as
provided in this Warrant, that a new Warrant of like tenor and date for the
balance of the shares of Common Stock issuable hereunder be delivered to the
undersigned.

                              _______________________________
                              (Name of Registered Owner)

                              _______________________________
                              (Signature of Registered Owner)

                              _______________________________
                              (Street Address)

                              _______________________________
                              (City)    (State)    (Zip Code)



NOTICE:   The signature on this subscription must correspond with the name as
          written upon the face of the within Warrant in every particular,
          without alteration or enlargement or any change whatsoever.
<PAGE>

                                    ANNEX B
                                   --------

                                ASSIGNMENT FORM
                                ---------------



          FOR VALUE RECEIVED the undersigned registered owner of this Warrant
hereby sells, assigns and transfers unto the assignee named below all of the
rights of the under  signed under this Warrant, with respect to the number of
shares of Common Stock set forth below:

                                          No. of Shares of
Name and Address of Assignee                 Common Stock
- ----------------------------               ----------------



and does hereby irrevocably constitute and appoint ________ _____________
attorney-in-fact to register such transfer onto the books of Rare Medium Group,
Inc. maintained for the purpose, with full power of substitution in the
premises.

Dated:___________________     Print Name:___________________



                              Signature:____________________

                              Witness:______________________



NOTICE:   The signature on this assignment must correspond with the name as
          written upon the face of the within Warrant in every particular,
          without alteration or enlargement or any change whatsoever.
<PAGE>

============================================================================





                                  SERIES 2-B
                                    WARRANT
                    to Purchase Non-Voting Common Stock of

                            RARE MEDIUM GROUP, INC.






============================================================================



                                         Warrant No. [___]

                                         Original Issue
                                         Date: June 4, 1999
<PAGE>

                               TABLE OF CONTENTS
<TABLE>
<S>                                                                         <C>
1.  DEFINITIONS ..........................................................   1

2.  EXERCISE OF WARRANT ..................................................   6
    2.1      Manner of Exercise ..........................................   6
    2.2      Payment of Taxes ............................................   7
    2.3      Fractional Shares ...........................................   8
    2.4...................................................................   8

3.  TRANSFER, DIVISION AND COMBINATION ...................................   8
    3.1      Transfer ....................................................   8
    3.2      Division and Combination ....................................   8
    3.3      Expenses ....................................................   9
    3.4      Maintenance of Books ........................................   9

4.  CONVERSION TO SERIES 2-A WARRANTS ....................................   9

5.  ANTIDILUTION PROVISIONS ..............................................   9
    5.1      General .....................................................   9
    5.2      Notice of Adjustment of Exercise Price ......................   9

6.  NO IMPAIRMENT; REGULATORY COMPLIANCE AND COOPERATION;
    NOTICE OF EXPIRATION .................................................  10

7.  RESERVATION AND AUTHORIZATION OF NON-VOTING COMMON STOCK;
    REGISTRATION WITH OR APPROVAL OF ANY GOVERNMENTAL AUTHORITY ..........  10

8.  NOTICE OF CORPORATE ACTIONS; TAKING OF RECORD;
    TRANSFER BOOKS .......................................................  11
    8.1      Notices of Corporate Actions ................................  11
    8.2      Taking of Record ............................................  12
    8.3      Closing of Transfer Books ...................................  12

9.  TRANSFER RESTRICTIONS ................................................  12
    9.1      Restrictions on Transfers ...................................  12
    9.2      Restrictive Legends .........................................  13
    9.3      Termination of Securities Law Restrictions ..................  13

10. LOSS OR MUTILATION ...................................................  14

11. OFFICE OF THE COMPANY ................................................  14
</TABLE>

                                      -i-
<PAGE>

<TABLE>
<S>                                                                         <C>
12. FINANCIAL AND BUSINESS INFORMATION ...................................  15

13. DILUTION FEE .........................................................  16

14. MISCELLANEOUS ........................................................  17
    14.1   Nonwaiver .....................................................  17
    14.2   Notice Generally ..............................................  17
    14.3   Indemnification ...............................................  17
    14.4   Limitation of Liability .......................................  18
    14.5   Remedies ......................................................  18
    14.6   Successors and Assigns ........................................  18
    14.7   Amendment .....................................................  18
    14.8   Severability ..................................................  18
    14.9   Headings ......................................................  18
    14.10  GOVERNING LAW; JURISDICTION 18

ANNEX A

    SUBSCRIPTION FORM.....................................................  21

ANNEX B

    ASSIGNMENT FORM ......................................................  22
</TABLE>

                                      -ii-
<PAGE>

     NEITHER THIS WARRANT NOR ANY OF THE SECURITIES ISSUABLE UPON EXERCISE
     HEREOF HAVE BEEN REGISTERED UNDER THE SECURITIES ACT OF 1933, AS AMENDED
     (THE "ACT"), OR ANY STATE SECURITIES LAW. THE WARRANTS REPRESENTED BY THIS
     CERTIFI CATE AND THE SECURITIES ISSUABLE UPON EXERCISE HEREOF MAY NOT BE
     TRANSFERRED, SOLD, ASSIGNED, EXCHANGED, MORTGAGED, PLEDGED, HYPOTHECATED OR
     OTHERWISE DISPOSED OF OR ENCUMBERED WITHOUT COMPLIANCE WITH THE PROVISIONS
     OF, AND ARE OTHERWISE RESTRICTED BY THE PROVISIONS OF, THE ACT, THE RULES
     AND REGULATIONS THEREUNDER AND THIS WARRANT.



                                                Warrant No. [___]

                                  SERIES 2-B
                                    WARRANT

              TO PURCHASE ____ SHARES OF NON-VOTING COMMON STOCK
                          (SUBJECT TO ADJUSTMENT) OF

                            RARE MEDIUM GROUP, INC.


          THIS IS TO CERTIFY THAT APOLLO INVESTMENT FUND IV, L.P., or its
registered assigns, is entitled, at any time prior to the Expiration Date (such
term, and certain other capitalized terms used herein being hereinafter
defined), to purchase from RARE MEDIUM GROUP, INC., a Delaware corporation (the
"Company"), one (1) share of the Non-Voting Common Stock of the Company (subject
 -------
to adjustment as provided herein), at a purchase price per share (the initial
"Exercise Price", subject to adjustment as provided herein) equal to $7.00.
- ---------------

1.  DEFINITIONS
    -----------

          As used in this Warrant, the following terms have the respective
meanings set forth below:

          "Affiliate" of any Person means any other Person (a) which directly or
indirectly through one or more intermediaries controls, or is controlled by, or
is under common control with such Person. The term "control" (including the
terms "controlled by" and "under common control with") as used with respect to
any Person means the possession, directly or indirectly, of the power to direct
or cause the direction of the management and policies of such Person, whether
through the ownership of voting securities, by contract or otherwise.
<PAGE>

          "After-Tax Basis" when referring to a payment that is required
hereunder (the "target amount"), shall mean a total payment (the "total amount")
that, after deduction of all federal, state and local taxes that are required to
be paid by the recipient in respect of the receipt or accrual of such total
amount, is equal to the target amount.

          "Agreed Rate" shall mean the rate of interest announced publicly by
Citibank, N.A. in New York, New York, from time to time, as Citibank, N.A.'s
base rate.

          "Apollo Stockholders" shall mean Apollo Investment Fund IV, L.P. or
any of its Affiliates.

          "Appraised Value" per share of Common Stock as of a date specified
herein shall mean the value of such a share as of such date as determined by an
investment bank of nationally recognized standing selected by the Majority
Warrant Holders and reasonably acceptable to the Company. If the investment bank
selected by the Majority Warrant Holders is not reasonably acceptable to the
Company, and the Company and the Majority Warrant Holders cannot agree on a
mutually acceptable investment bank, then the Company and the Majority Warrant
Holders shall each choose one such investment bank and the respective chosen
firms shall jointly select a third investment bank, which shall make the
determination. The Company shall pay the costs and fees of each such investment
bank (including any such investment bank selected by the Majority Warrant
Holders), and the decision of the investment bank making such determination of
Appraised Value shall be final and binding on the Company and all affected
holders of Warrants or Warrant Stock. Such Appraised Value shall be determined
as a pro rata portion of the value of the Company taken as a whole, based on the
higher of (A) the value derived from a hypothetical sale of the entire Company
as a going concern by a willing seller to a willing buyer (neither acting under
any compulsion) and (B) the liquidation value of the entire Company. No discount
shall be applied on account of (i) any Warrants or Warrant Stock representing a
minority interest, (ii) any lack of liquidity of the Common Stock or the
Warrants, (iii) the fact that the Warrants or Warrant Stock may constitute
"restricted securities" for securities law purposes, (iv) the existence of any
call option or (v) any other grounds.

          "Book Value" per share of Common Stock as of a date specified herein
shall mean the consolidated book value of the Company and its Subsidiaries as of
such date divided by the number of shares of Common Stock Outstanding on such
date. Such book value shall be determined in accordance with GAAP, except that
there shall be no reduction in such book value by reason of any amount that may
be required either as an offset to or reserve against retained earnings or as a
deduction from book value as a result of the issuance, existence, anticipated
exercise of, or anticipated cost to the Company of the repurchase of, any of the
Warrants.

          "Business Day" shall mean any day that is not a Saturday or Sunday or
a day on which banks are required or permitted to be closed in the State of New
York.

          "Commission" shall mean the Securities and Exchange Commission or any
other federal agency then administering the Securities Act and other federal
securities laws.

                                       2
<PAGE>

          "Common Stock" shall mean the Common Stock of the Company, par value
$0.01 per share, as constituted on the Original Issue Date, and any capital
stock into which such Common Stock may thereafter be changed, and shall also
include (i) capital stock of the Company of any other class (regardless of how
denominated) issued to the holders of shares of any Common Stock upon any
reclassification thereof which is also not preferred as to dividends or
liquidation over any other class of stock of the Company and which is not
subject to redemption and (ii) shares of common stock of any successor or
acquiring corporation received by or distributed to the holders of Common Stock
of the Company in the circumstances contemplated by Section 5 hereof.

          "Company" means Rare Medium Group, Inc., a Delaware corporation, and
any successor corporation.

          "Current Market Price" shall mean as of any specified date the average
of the daily market price of one share of the Common Stock for the shorter of
(x) the twenty (20) consecutive Business Days immediately preceding such date or
(y) the period commencing on the Business Day next following the first public
announcement by the Company of any event giving rise to an adjustment of the
Exercise Price pursuant to Section 5 below and ending on such date. The "daily
market price" of one share of Common Stock for each such Business Day shall be:
(i) if the Common Stock is then listed on a national securities exchange or is
listed on NASDAQ and is designated as a National Market System security, the
last sale price of one share of Common Stock, regular way, on such day on the
principal stock exchange or market system on which such Common Stock is then
listed or admitted to trading, or, if no such sale takes place on such day, the
average of the closing bid and asked prices for one share of Common Stock on
such day as reported on such stock exchange or market system or (ii) if the
Common Stock is not then listed or admitted to trading on any national
securities exchange or designated as a National Market System security on NASDAQ
but is traded over-the-counter, the average of the closing bid and asked prices
for one share of Common Stock as reported on NASDAQ or the Electronic Bulletin
Board or in the National Daily Quotation Sheets, as applicable.

          "Designated Office" shall have the meaning set forth in Section 11
hereof.

          "Dilution Fee" shall have the meaning set forth in Section 13 hereof.

          "Exchange Act" shall mean the Securities Exchange Act of 1934, as
amended, and the rules and regulations of the Commission thereunder, all as the
same shall be in effect from time to time.

          "Exercise Date" shall have the meaning set forth in Section 2.1
hereof.

          "Exercise Notice" shall have the meaning set forth in Section 2.1
hereof.

          "Exercise Period" shall mean the period during which this Warrant is
exercisable pursuant to Section 2.1 hereof.

                                       3
<PAGE>

          "Exercise Price" shall mean, in respect of a share of Non-Voting
Common Stock at any date herein specified, the initial Exercise Price set forth
in the preamble of this Warrant as adjusted from time to time pursuant to
Sections 2.4 and 5 hereof.

          "Expiration Date" shall mean the tenth anniversary of the Original
Issue Date.

          "Fair Value" per share of Common Stock as of any specified date shall
mean (A) if the Common Stock is publicly traded on such date, the Current Market
Price per share or (B) if the Common Stock is not publicly traded on such date,
(1) the fair market value per share of Common Stock as determined in good faith
by the Board of Directors of the Company and set forth in a written notice to
each Holder or (2) if the Majority Warrant Holders object in writing to such
price as determined by the Board of Directors within thirty (30) days after
receiving notice of same, the Appraised Value per share as of such date.

          "GAAP" shall mean generally accepted accounting principles in the
United States of America as from time to time in effect.

          "Holder" shall mean (a) with respect to this Warrant, the Person in
whose name the Warrant set forth herein is registered on the books of the
Company maintained for such purpose and (b) with respect to any other Warrant or
shares of Warrant Stock, the Person in whose name such Warrant or Warrant Stock
is registered on the books of the Company maintained for such purpose.

          "Lien" shall mean any mortgage or deed of trust, pledge,
hypothecation, assignment, deposit arrangement, lien, charge, claim, security
interest, easement or encumbrance, or preference, priority or other security
agreement or preferential arrangement of any kind or nature whatsoever
(including, without limitation, any lease or title retention agreement, any
financing lease having substantially the same economic effect as any of the
foregoing, and the filing of, or agreement to give, any financing statement
perfecting a security interest under the Uniform Commercial Code or comparable
law of any jurisdiction).

          "Majority Warrant Holders", with respect to a given determination,
shall mean the Holders of Warrants representing more than fifty percent (50%) of
all then outstanding Warrants.

          "NASD" shall mean the National Association of Securities Dealers,
Inc., or any successor corporation thereto.

          "NASDAQ" shall mean the NASDAQ quotation system, or any successor
reporting system.

          "Non-Voting Common Stock" shall mean the non-voting common stock, par
value $0.01 per share, as the Company.

                                       4
<PAGE>

          "Opinion of Counsel" means a written opinion of outside counsel
experienced in Securities Act matters chosen by the Holder of this Warrant or
Warrant Stock issued upon the exercise hereof and reasonably acceptable to the
Company.

          "Original Issue Date" shall mean the date on which this Warrant was
issued, as set forth on the cover page of this Warrant.

          "Original Warrants" shall mean the Warrants originally issued by the
Company on June 4 1999 to the Apollo Stockholders.

          "Outside Date" shall mean the date which is 120 days after the
Original Issue Date.

          "Outstanding" shall mean, when used with reference to Common Stock or
Non-Voting Common Stock, at any date as of which the number of shares thereof is
to be determined, all issued shares of Common Stock or Non-Voting Common Stock,
as the case may be, except shares then owned or held by or for the account of
the Company or any Subsidiary, and shall include all shares issuable in respect
of outstanding scrip or any certificates representing fractional interests in
shares of Common Stock or Non-Voting Common Stock, as the case may be.

          "Person" shall mean any individual, sole proprietorship, partnership,
limited liability company, joint venture, trust, incorporated organization,
association, corporation, institution, public benefit corporation, entity or
government (whether federal, state, county, city, municipal or otherwise,
including, without limitation, any instrumentality, division, agency, body or
department thereof).

          "Restricted Common Stock" shall mean shares of Non-Voting Common Stock
which are, or which upon their issuance on the exercise of this Warrant would
be, evidenced by a certificate bearing the restrictive legend set forth in
Section 9.2(a) hereof.

          "Securities Act" shall mean the Securities Act of 1933, as amended,
and the rules and regulations of the Commission thereunder, all as the same
shall be in effect at the time.

          "Series A Preferred Stock" shall mean the Series A Convertible
Preferred Stock of the Company.

          "Series B Preferred Stock" shall mean the Series B Preferred Stock of
the Company.

          "Share Withholding Option" has the meaning set forth in Section 2.1
hereof.

          "Subsidiary" shall mean any corporation, association or other business
entity (i) at least 50% of the outstanding voting securities of which are at the
time owned or controlled directly or indirectly by the Company; or (ii) with
respect to which the Company possesses, directly or indirectly, the power to
direct or cause the direction of the affairs or management of such person.

                                       5
<PAGE>

          "Transfer" shall mean any disposition of any Warrant or Warrant Stock
or of any interest therein, which would constitute a "sale" thereof or a
transfer of a beneficial interest therein within the meaning of the Securities
Act.

          "Warrant Price" shall mean an amount equal to (i) the number of shares
of Non-Voting Common Stock being purchased upon exercise of this Warrant
pursuant to Section 2.1 hereof, multiplied by (ii) the Exercise Price as of the
date of such exercise.

          "Warrants" shall mean the Original Warrants and all warrants issued
upon transfer, division or combination of, or in substitution for, such Original
Warrants, and any additional Warrants issued together with shares of Series A
Preferred Stock paid as dividends, or any other such Warrant. All Warrants shall
at all times be identical as to terms and conditions, except as to the number of
shares of Non-Voting Common Stock for which they may be exercised and their date
of issuance.

          "Warrant Stock" generally shall mean the shares of Non-Voting Common
Stock issued, issuable or both (as the context may require) upon the exercise of
Warrants.


 2.  EXERCISE OF WARRANT
     -------------------

          2.1  Manner of Exercise.  (a)  From and after the Original Issue Date
               ------------------
and until 5:00 P.M., New York time, on the Expiration Date, the Holder of this
Warrant may from time to time exercise this Warrant, on any Business Day, for
all or any part of the number of shares of Non-Voting Common Stock purchasable
hereunder (as determined pursuant to Section 2.2 below); provided, however, if
                                                         --------  -------
after the Outside Date, any Holder of this Warrant elects to convert such
warrant to Non-Voting Common Stock pursuant to this Section 2 and it is
determined that the Company cannot issue Non-Voting Common Stock, the Company
shall use its reasonable efforts to deliver to such Holder securities, cash or
other property to provide such Holder with the economic equivalent of an
exercise of the Series 2-B Warrant into, and an immediate sale of, the Non-
Voting Common Stock. In order to exercise this Warrant, in whole or in part, the
Holder shall (i) deliver to the Company at its Designated Office a written
notice of the Holder's election to exercise this Warrant (an "Exercise Notice"),
                                                              ---------------
which Exercise Notice shall be irrevocable and specify the number of shares of
Non-Voting Common Stock to be purchased, together with this Warrant and (ii) pay
to the Company the Warrant Price (the date on which both such delivery and
payment shall have first taken place being hereinafter sometimes referred to as
the "Exercise Date"). Such Exercise Notice shall be in the form of the
subscription form appearing at the end of this Warrant as Annex A, duly executed
                                                          -------
by the Holder or its duly authorized agent or attorney.

          (b) Upon receipt by the Company of such Exercise Notice, Warrant and
payment, the Company shall, as promptly as practicable, and in any event within
five (5) Business Days thereafter, execute (or cause to be executed) and deliver
(or cause to be delivered) to the Holder a certificate or certificates
representing the aggregate number of full shares of Non-Voting Common Stock
issuable upon such exercise, together with cash in lieu of any fraction of a
share,

                                       6
<PAGE>

as hereafter provided. The stock certificate or certificates so delivered shall
be, to the extent possible, in such denomination or denominations as the
exercising Holder shall reasonably request in the Exercise Notice and shall be
registered in the name of the Holder or, subject to Section 9 below, such other
name as shall be designated in the Exercise Notice. This Warrant shall be deemed
to have been exercised and such certificate or certificates shall be deemed to
have been issued, and the Holder or any other Person so designated to be named
therein shall be deemed to have become a holder of record of such shares for all
purposes, as of the Exercise Date.

          (c) Payment of the Warrant Price shall be made at the option of the
Holder by one or more of the following methods: (i) by delivery of a certified
or official bank check in the amount of such Warrant Price payable to the order
of the Company, (ii) by instructing the Company to withhold a number of shares
of Warrant Stock then issuable upon exercise of this Warrant with an aggregate
Fair Value equal to such Warrant Price (the "Share Withholding Option"), or
                                             ------------------------
(iii) by surrendering to the Company shares of Non-Voting Common Stock
previously acquired by the Holder with an aggregate Fair Value equal to such
Warrant Price. In the event of any withholding of Warrant Stock or surrender of
Non-Voting Common Stock pursuant to clause (ii) or (iii) above where the number
of shares whose Fair Value is equal to the Warrant Price is not a whole number,
the number of shares withheld by or surrendered to the Company shall be rounded
up to the nearest whole share and the Company shall make a cash payment to the
Holder based on the incremental fraction of a share being so withheld by or
surrendered to the Company in an amount determined in accordance with Section
2.3 hereof.

          (d) If this Warrant shall have been exercised in part, the Company
shall, at the time of delivery of the certificate or certificates representing
the shares of Non-Voting Common Stock being issued, deliver to the Holder a new
Warrant evidencing the rights of the Holder to purchase the unpurchased shares
of Non-Voting Common Stock called for by this Warrant. Such new Warrant shall in
all other respects be identical to this Warrant. Notwithstanding any provision
herein to the contrary, the Company shall not be required to register shares of
Non-Voting Common Stock in the name of any Person who acquired this Warrant (or
part hereof) or any shares of Warrant Stock otherwise than in accordance with
this Warrant.

          (e) All Warrants delivered for exercise shall be canceled by the
Company.

          2.2  Payment of Taxes.  All shares of Non-Voting Common Stock issuable
               ----------------
upon the exercise of this Warrant pursuant to the terms hereof shall be validly
issued, fully paid and nonassessable, issued without violation of any preemptive
rights and free and clear of all Liens (other than any created by actions of the
Holder). The Company shall pay all expenses in connection with, and all taxes
and other governmental charges that may be imposed with respect to, the issue or
delivery thereof, unless such tax or charge is imposed by law upon the Holder,
in which case such taxes or charges shall be paid by the Holder and the Company
shall reimburse the Holder therefor on an After-Tax Basis. The Company shall
not, however, be required to pay any tax or governmental charge which may be
payable in respect of any Transfer involved in the issue and delivery of shares
of Non-Voting Common Stock issuable upon exercise of this Warrant in a name
other than that of the holder of the Warrants to be exercised, and no such issue
or delivery shall be made unless and until the Person requesting such issue has
paid to the Company the

                                       7
<PAGE>

amount of any such tax, or has established to the satisfaction of the Company
that such tax has been paid.

          2.3  Fractional Shares.  The Company shall not be required to issue a
               -----------------
fractional share of Non-Voting Common Stock upon exercise of any Warrant. As to
any fraction of a share that the Holder of one or more Warrants, the rights
under which are exercised in the same transaction, would otherwise be entitled
to purchase upon such exercise, the Company shall pay to such Holder an amount
in cash equal to such fraction multiplied by (i) the Current Market Price of one
share of Non-Voting Common Stock on the Exercise Date, if the Non-Voting Common
Stock is then publicly traded, or (ii) the Book Value per share of Non-Voting
Common Stock based on the most recent available consolidated balance sheet of
the Company, if the Non-Voting Common Stock is not then publicly traded.

          2.4  Reduced Exercise Price.  In the event that the Company shall not
               ----------------------
have obtained the approval of its stockholders of the conversion of the Series
2-B Warrants into Series 2-A Warrants (the "Series 2-B-to-2-A Conversion"), on
                                            ----------------------------
or prior to the Outside Date the Exercise Price herein shall be reduced to
$0.01.


 3.  TRANSFER, DIVISION AND COMBINATION
     ----------------------------------

          3.1  Transfer.  Subject to compliance with Section 9 hereof, each
               --------
transfer of this Warrant and all rights hereunder, in whole or in part, shall be
registered on the books of the Company to be maintained for such purpose, upon
surrender of this Warrant at the Designated Office, together with a written
assignment of this Warrant in the form of Annex B hereto duly executed by the
                                          -------
Holder or its agent or attorney and funds sufficient to pay any transfer taxes
described in Section 2.2 in connection with the making of such transfer. Upon
such surrender and delivery and, if required, such payment, the Company shall,
subject to Section 9, execute and deliver a new Warrant or Warrants in the name
of the assignee or assignees and in the denominations specified in such
instrument of assignment, and shall issue to the assignor a new Warrant
evidencing the portion of this Warrant not so assigned and this Warrant shall
promptly be cancelled. A Warrant, if properly assigned in compliance with
Section 9, may be exercised by the new Holder for the purchase of shares of Non-
Voting Common Stock without having a new Warrant issued.

          3.2  Division and Combination.  Subject to compliance with the
               ------------------------
applicable provisions of this Warrant including, without limitation, Section 9,
this Warrant may be divided or combined with other Warrants upon presentation
hereof at the Designated Office, together with a written notice specifying the
names and denominations in which new Warrants are to be issued, signed by the
Holder or its agent or attorney. Subject to compliance with the applicable
provisions of this Warrant as to any transfer which may be involved in such
division or combination, the Company shall execute and deliver a new Warrant or
Warrants in exchange for the Warrant or Warrants to be divided or combined in
accordance with such notice.

                                       8
<PAGE>

          3.3  Expenses.  The Company shall prepare, issue and deliver at its
               --------
own expense any new Warrant or Warrants required to be issued under this Section
3 (other than pursuant to Section 2.2 hereof).

          3.4  Maintenance of Books.  The Company agrees to maintain, at the
               --------------------
Designated Office, books for the registration and transfer of the Warrants.


 4.  CONVERSION TO SERIES 2-A WARRANTS
     ---------------------------------

          4.1  Conversion.  The Company will, as soon as practicable, duly call,
               ----------
give notice of, convene and hold a meeting of its stockholders for the purpose
of approving, among other things, the Series 2-B-to-2-A Conversion.  The Company
shall use its best efforts to secure such approval on or prior to the Outside
Date.  Upon stockholder approval of the Series 2-B-to-2-A Conversion, whenever
obtained, this Warrant shall, without any action on the part of the Holder
hereof or the Company, be automatically converted into one Series 2-A Warrant (a
"Series 2-A Warrant") in the form attached as Annex 2-C to the Amended and
 ------------------
Restated Securities Purchase Agreement dated as of June 4 1999 among the
Company, the Apollo Stockholders and certain other parties thereto, to purchase
the same number of shares of Common Stock (subject to adjustment) as could be
purchased upon the exercise of this Warrant immediately prior to such
conversion.

          4.2  Promptly following any conversion of this Warrant into a Series
2-A Warrant pursuant to Section 4.1 above, the Holder of this Warrant shall (i)
surrender this Warrant, at the office of the Company or of the transfer agent
for this Warrant and (ii) state in writing the name or names in which the Series
2-A Warrant is to be registered. As soon as practical following receipt of the
foregoing, the Company shall deliver to such former Holder of this Warrant one
or more Series 2-A Warrants in denominations acceptable to such Holder. Such
conversion shall be deemed to have been effected as of the close of business on
the date on which the stockholders of the Company approve the Series 2-B-to-2-A
Conversion.


 5.  ANTIDILUTION PROVISIONS
     -----------------------

          5.1  General.  The number of shares of Non-Voting Common Stock
               -------
Common Stock for which this Warrant is exercisable and the Exercise Price shall
be subject to adjustment from time to time in the same manner as the number of
shares of Common Stock issuable upon exercise of the Series 1-A Warrant and the
"Exercise Price" as set forth in the Series 1-A Warrant and adjusted pursuant to
Section 5 thereof.

           5.2 Notice of Adjustment of Exercise Price.  Whenever the Exercise
               --------------------------------------
Price is adjusted as herein provided:

               (i) the Company shall compute the adjusted Exercise Price in
     accordance with this Section 5 and shall prepare a certificate signed by
     the

                                       9
<PAGE>

     Treasurer or Chief Financial Officer of the Company setting forth the
     adjusted Exercise Price and showing in reasonable detail the facts upon
     which such adjustment is based, and such certificate shall forthwith be
     filed at each office or agency maintained for such purpose or exercise of
     Warrants; and

               (ii) a notice stating that the Exercise Price has been adjusted
     and setting forth the adjusted Exercise Price shall forthwith be prepared
     by the Company, and as soon as practicable after it is prepared, such
     notice shall be mailed by the Company at its expense to all Holders at
     their last addresses as they shall appear in the stock register.


 6.  NO IMPAIRMENT; REGULATORY COMPLIANCE AND COOPERATION; NOTICE OF EXPIRATION
     --------------------------------------------------------------------------

          (a) The Company shall not by any action, including, without
limitation, amending its charter documents or through any reorganization,
reclassification, transfer of assets, consolidation, merger, dissolution, issue
or sale of securities or any other similar voluntary action, avoid or seek to
avoid the observance or performance of any of the terms of this Warrant, but
will at all times in good faith assist in the carrying out of all such terms and
in the taking of all such actions as may be necessary or appropriate to protect
the rights of the Holder against impairment. Without limiting the generality of
the foregoing, the Company shall take all such action as may be necessary or
appropriate in order that the Company may validly and legally issue fully paid
and nonassessable shares of Common Stock upon the exercise of this Warrant, free
and clear of all Liens, and shall use its best efforts to obtain all such
authorizations, exemptions or consents from any public regulatory body having
jurisdiction thereof as may be necessary to enable the Company to perform its
obligations under this Warrant.

          (b) The Company shall deliver to each Holder of Warrants on or before
six months prior to the tenth anniversary of the Original Issue Date, but no
earlier than nine months prior to the tenth anniversary of the Original Issue
Date, advance notice of such tenth anniversary and of the anticipated Expiration
Date. If the Company fails to fulfill in a timely manner the notice obligation
set forth in the prior sentence, it shall provide such notice as soon as
possible thereafter.


  7. RESERVATION AND AUTHORIZATION OF NON-VOTING COMMON STOCK; REGISTRATION WITH
     ---------------------------------------------------------------------------
     OR APPROVAL OF ANY GOVERNMENTAL AUTHORITY
     -----------------------------------------

          From and after the Original Issue Date, the Company shall at all times
reserve and keep available for issuance upon the exercise of the Warrants such
number of its authorized but unissued shares of Non-Voting Common Stock as will
be sufficient to permit the exercise in full of all outstanding Warrants. All
shares of Non-Voting Common Stock issuable pursuant to the terms hereof, when
issued upon exercise of this Warrant with payment therefor in accordance

                                       10
<PAGE>

the terms hereof, shall be duly and validly issued and fully paid and
nonassessable, not subject to preemptive rights and shall be free and clear of
all Liens. Before taking any action that would result in an adjustment in the
number of shares of Non-Voting Common Stock for which this Warrant is
exercisable or in the Exercise Price, the Company shall obtain all such
authorizations or exemptions thereof, or consents thereto, as may be necessary
from any public regulatory body or bodies having jurisdiction over such action.
If any shares of Non-Voting Common Stock required to be reserved for issuance
upon exercise of Warrants require registration or qualification with any
governmental authority under any federal or state law (other than under the
Securities Act or any state securities law) before such shares may be so issued,
the Company will in good faith and as expeditiously as possible and at its
expense endeavor to cause such shares to be duly registered.


8.  NOTICE OF CORPORATE ACTIONS; TAKING OF RECORD; TRANSFER BOOKS
    -------------------------------------------------------------

          8.1  Notices of Corporate Actions.
               ----------------------------

               In case:

               (a) the Company shall take an action or an event shall occur,
          that would require an Exercise Price adjustment pursuant to Section 5;
          or

               (b) the Company shall grant to the holders of its Common Stock
          rights or warrants to subscribe for or purchase any shares of capital
          stock of any class; or

               (c) of any reclassification of the Common Stock (other than a
          subdivision or combination of the outstanding shares of Common Stock),
          or of any consolidation, merger or share exchange to which the Company
          is a party and for which approval of any stockholders of the Company
          is required, or of the sale or transfer of all or substantially all of
          the assets of the Company; or

               (d) of the voluntary or involuntary dissolution, liquidation or
          winding up of the Company; or

               (e) the Company or any Subsidiary shall commence a tender offer
          for all or a portion of the outstanding shares of Common Stock (or
          shall amend any such tender offer to change the maximum number of
          shares being sought or the amount or type of consideration being
          offered therefor);

then the Company shall cause to be filed at each office or agency maintained for
such purpose, and shall cause to be mailed to all holders at their last
addresses as they shall appear in the stock register, at least 30 days prior to
the applicable record, effective or expiration date hereinafter specified, a
notice stating (x) the date on which a record is to be taken for the purpose of
such dividend, distribution or granting 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
who will be entitled to such dividend,

                                       11
<PAGE>

distribution, rights or warrants are to be determined, (y) the date on which
such reclassification, consolidation, merger, share exchange, sale, transfer,
dissolution, liquidation or winding up is expected to become effective, and the
date as of which it is expected that holders of Common Stock of record shall be
entitled to exchange their shares of Common Stock for securities, cash or other
property deliverable upon such reclassification, consolidation, merger, share
exchange, sale, transfer, dissolution, liquidation or winding up, or (z) the
date on which such tender offer commenced, the date on which such tender offer
is scheduled to expire unless extended, the consideration offered and the other
material terms thereof (or the material terms of the amendment thereto). Such
notice shall also set forth such facts with respect thereto as shall be
reasonably necessary to indicate the effect of such action on the Exercise Price
and the number and kind or class of shares or other securities or property which
shall be deliverable or purchasable upon the occurrence of such action or
deliverable upon exercise of the Warrants. Neither the failure to give any such
notice nor any defect therein shall affect the legality or validity of any
action described in clauses (a) through (e) of this Section 8.1.

          8.2  Taking of Record.  In the case of all dividends or other
               ----------------
distributions by the Company to the holders of its Common Stock with respect to
which any provision of any Section hereof refers to the taking of a record of
such holders, the Company will in each such case take such a record and will
take such record as of the close of business on a Business Day.

          8.3  Closing of Transfer Books.  The Company shall not at any time,
               -------------------------
except upon dissolution, liquidation or winding up of the Company, close its
stock transfer books or Warrant transfer books so as to result in preventing or
delaying the exercise or transfer of any Warrant.


9.  TRANSFER RESTRICTIONS
    ---------------------

          The Holder, by acceptance of this Warrant, agrees to be bound by the
provisions of this Section 9.

          9.1  Restrictions on Transfers.  Neither this Warrant nor any shares
               -------------------------
of Restricted Common Stock issued upon the exercise hereof shall be transferred,
sold, assigned, exchanged, mortgaged, pledged, hypothecated or otherwise
disposed of or encumbered without compliance with the provisions of, and are
otherwise restricted by the provisions of, the Securities Act, the rules and
regulations thereunder and this Warrant. Each certificate, if any, evidencing
such shares of Restricted Common Stock issued upon any such Transfer, other than
in a public offering pursuant to an effective registration statement, shall bear
the restrictive legend set forth in Section 9.2(a), and each Warrant issued upon
such Transfer shall bear the restrictive legend set forth in Section 9.2(b),
unless the Holder delivers to the Company an Opinion of Counsel to the effect
that such legend is not required for the purposes of compliance with the
Securities Act. Holders of the Warrants or the Restricted Common Stock, as the
case may be, shall not be entitled to Transfer such Warrants or such Restricted
Common Stock except in accordance with this Section 9.1.

                                       12
<PAGE>

          9.2  Restrictive Legends.  (a)  Except as otherwise provided in this
               -------------------
Section 9, each certificate for Warrant Stock initially issued upon the exercise
of this Warrant, and each certificate for Warrant Stock issued to any subsequent
transferee of any such certificate, shall be stamped or otherwise imprinted with
two legends in substantially the following forms:

     "THE SHARES REPRESENTED BY THIS CERTIFICATE HAVE NOT BEEN REGISTERED UNDER
     THE SECURITIES ACT OF 1933, AS AMENDED (THE "ACT"), OR ANY STATE SECURITIES
     LAW. THE SHARES REPRESENTED BY THIS CERTIFICATE MAY NOT BE TRANSFERRED,
     SOLD, ASSIGNED, EXCHANGE, MORTGAGE, PLEDGED, HYPOTHECATED OF OTHERWISE
     DISPOSED OF OR ENCUMBERED WITHOUT COMPLIANCE WITH THE PROVISIONS OF, AND
     ARE OTHERWISE RESTRICTED BY THE PROVISIONS OF, THE ACT AND THE RULES AND
     REGULATIONS THEREUNDER."

     "THE SHARES REPRESENTED BY THIS CERTIFICATE ARE ENTITLED TO THE BENEFIT OF
     AND ARE SUBJECT TO CERTAIN OBLIGATIONS SET FORTH IN A CERTAIN SERIES 2-B
     WARRANT DATED JUNE 4, 1999, ORIGINALLY ISSUED BY RARE MEDIUM GROUP, INC.
     (THE "WARRANT") PURSUANT TO THE EXERCISE OF WHICH SUCH SHARES WERE ISSUED.
     A COPY OF THE WARRANT IS AVAILABLE AT THE EXECUTIVE OFFICES OF RARE MEDIUM
     GROUP, INC."

          (b) Except as otherwise provided in this Section 9, each Warrant shall
be stamped or otherwise imprinted with a legend in substantially the following
form:

     "NEITHER THIS SERIES 2-B WARRANT NOR ANY OF THE SECURITIES ISSUABLE UPON
     EXERCISE HEREOF HAVE BEEN REGISTERED UNDER THE SECURITIES ACT OF 1933, AS
     AMENDED (THE "ACT"), OR ANY STATE SECURITIES LAW. THE SERIES 2-B WARRANTS
     REPRESENTED BY THIS CERTIFICATE AND THE STOCK ISSUABLE UPON EXERCISE HEREOF
     MAY NOT BE TRANSFERRED, SOLD, ASSIGNED, EXCHANGED, MORTGAGED, PLEDGED,
     HYPOTHECATED OF OTHERWISE DISPOSED OF OR ENCUMBERED WITHOUT COMPLIANCE WITH
     THE PROVISIONS OF, AND ARE OTHERWISE RESTRICTED BY THE PROVISIONS OF, THE
     ACT, THE RULES AND REGULATIONS THEREUNDER AND THIS WARRANT."

          9.3  Termination of Securities Law Restrictions.  Notwithstanding the
               ------------------------------------------
foregoing provisions of this Section 9, the restrictions imposed by Section
9.1(b) upon the transferability of the Warrants and the Restricted Common Stock
and the legend requirements of Section 9.2 shall terminate as to any particular
Warrant or shares of Restricted Common Stock when the Company shall have
received from the Holder thereof an Opinion of Counsel to the effect that such
legend is not required in order to ensure compliance with the Securities Act.
Whenever the restrictions imposed by Sections 9.1(b) and 9.2 shall terminate as
to this Warrant, as hereinabove provided,

                                       13
<PAGE>

the Holder hereof shall be entitled to receive from the Company, at the expense
of the Company, a new Warrant bearing the following legend in place of the
restrictive legend set forth hereon:

          "THE RESTRICTIONS ON TRANSFERABILITY OF THE WITHIN SERIES 2-B WARRANT
     CONTAINED IN SECTIONS 9.1(b) AND 9.2 HEREOF TERMINATED ON ______________,
     20__, AND ARE OF NO FURTHER FORCE AND EFFECT."

All Warrants issued upon registration of transfer, division or combination of,
or in substitution for, any Warrant or Warrants entitled to bear such legend
shall have a similar legend endorsed thereon. Whenever the restrictions imposed
by this Section shall terminate as to any share of Restricted Common Stock, as
hereinabove provided, the Holder thereof shall be entitled to receive from the
Company, at the Company's expense, a new certificate representing such Non-
Voting Common Stock not bearing the restrictive legend set forth in Section
9.2(a).


10. LOSS OR MUTILATION
    ------------------

          Upon receipt by the Company from any Holder of evidence reasonably
satisfactory to it of the ownership of and the loss, theft, destruction or
mutilation of this Warrant and an indemnity reasonably satisfactory to it (it
being understood that the written indemnification agreement of or affidavit of
loss of the Apollo Stockholders, shall be a sufficient indemnity) and, in case
of mutilation, upon surrender and cancellation hereof, the Company will execute
and deliver in lieu hereof a new Warrant of like tenor to such Holder; provided,
                                                                       --------
however, that, in the case of mutilation, no indemnity shall be required if this
- -------
Warrant in identifiable form is surrendered to the Company for cancellation.


11. OFFICE OF THE COMPANY
    ---------------------

          As long as any of the Warrants remain outstanding, the Company shall
maintain an office or agency, which may be the principal executive offices of
the Company (the "Designated Office"), where the Warrants may be presented for
                  ---------- ------
exercise, registration of transfer, division or combination as provided in this
Warrant.  Such Designated Office shall initially be the office of the Company at
44 West 18th Street, 6th Floor, New York, New York 10011.  The Company may from
time to time change the Designated Office to another office of the Company or
its agent within the United States by notice given to all registered Holders at
least ten (10) Business Days prior to the effective date of such change.

                                       14
<PAGE>

12. FINANCIAL AND BUSINESS INFORMATION
    ----------------------------------

          (a)  Financial Reports.
               -----------------

          Until (i) the Company shall no longer be required to deliver financial
reports in connection with the Series A Preferred Stock, or (ii) the Expiration
Date, whichever first occurs, the Company shall furnish to Apollo Investment
Fund IV, L.P. the following:

               (i)    Monthly Reports. As soon as available, but not later than
                      ---------------
      30 days after the end of each fiscal month, a consolidated balance sheet
      of the Company as of the end of such period and consolidated statements of
      income of the Company for such period and for the period commencing at the
      end of the previous fiscal year and ending with the end of such period,
      setting forth in each case in comparative form the corresponding figures
      for the corresponding period of the preceding fiscal year, and including
      comparisons to the budget or business plan and an analysis of the
      variances from the budget or plan, all prepared in accordance with
      generally accepted accounting principals consistently applied (except for
      the absence of footnotes and year-end adjustments).

               (ii)   Quarterly Reports. As soon as available, but not later
                      -----------------
     than 45 days after the end of each quarterly accounting period, (A) a
     consolidated balance sheet of the Company as of the end of such period and
     consolidated statements of income, cash flows and changes in shareholders'
     equity for such quarterly accounting period and for the period commencing
     at the end of the previous fiscal year and ending with the end of such
     period, setting forth in each case in comparative form the corresponding
     figures for the corresponding period of the preceding fiscal year, and
     including comparisons to the budget or business plan and an analysis of the
     variances from the budget or plan, all prepared in accordance with
     generally accepted accounting principals consistently applied, subject to
     normal year-end adjustments and the absence of footnote disclosure, and (B)
     a report by management of the Company of the operating and financial
     highlights of the Company and its Subsidiaries for such period, which shall
     include (x) a comparison between operating and financial results and budget
     and (y) an analysis of the operations of the Company and its Subsidiaries
     for such period.

               (iii)  Annual Audit.  As soon as available, but not later than 90
                      ------------
     days after the end of each fiscal year of the Company, audited consolidated
     financial statements of the Company, which shall include statements of
     income, cash flows and changes in shareholders' equity for such fiscal year
     and a balance sheet as of the last day thereof, each prepared in accordance
     with generally accepted accounting principles, consistently applied, and
     accompanied by the report of a "Big 5" firm of independent certified public
     accountants selected by the Company's Board of Directors (the
     "Accountants"). The Company and its Subsidiaries shall maintain a system
      -----------
     of accounting sufficient to enable its Accountants to render the report
     referred to in this Section 12(a)(iii).

                                       15
<PAGE>

               (iv) Miscellaneous.  Promptly upon becoming available, each of
                    -------------
     the following:

               (A)  copies of all financial statements, reports, press releases,
     notices, proxy statements and other documents sent by the Company or its
     Subsidiaries to its shareholders generally or released to the public and
     copies of all regular and periodic reports, if any, filed by the Company or
     its Subsidiaries with the SEC, any securities exchange or the NASD;

               (B)  notification in writing of the existence of any default
     under any material agreement or instrument to which the Company or any of
     its Subsidiaries is a party or by which any of their assets are bound;

               (C)  upon request, copies of all reports prepared for or
     delivered to the management of the Company or its Subsidiaries by its
     accountants; and

               (D)  upon request, any other routinely collected financial or
     other information available to management of the Company or its
     Subsidiaries (including, without limitation, routinely collected
     statistical data).

          (b)  Other Holders. Without duplication of any document or information
               -------------
provided pursuant to this Section 12, the Company shall provide to each Holder
of Warrants or Warrant Stock the following:

               (i)  as soon as available, but not later than 45 days after the
     end of each quarterly accounting period, a Form 10-Q or, if the Company
     does not then file quarterly reports with the SEC, the documents referred
     to in Section 12(a)(ii).

               (ii) as soon as available, but not later than 90 days after the
     end of each fiscal year, a Form 10-K or, if the Company does not then file
     annual reports with the SEC, the audited consolidated financial statements
     referred to in Section 12(a)(iii).

               (iii)simultaneously with any distribution of any document to
     the stockholders of the Company generally, any such document so
     distributed.


 13. DILUTION FEE
     ------------

          In the event any dividends are declared with respect to the Common
Stock, the holder of this Warrant as of the record date established by the Board
of Directors for such dividend shall be entitled to receive as a dilution fee
(the "Dilution Fee") an amount (whether in the form of cash, securities or other
      ------------
property) equal to the amount (and in the form) of the dividends that such
holder would have received had this Warrant been exercised for purchase of Non-
Voting Common Stock (on the basis of one share of Common Stock for each share of
Non-Voting Common Stock for which this Warrant is then exercisable) as of the
record date of such

                                       16
<PAGE>

dividend, such Dilution Fee to be payable on the payment date of the dividend
established by the Board of Directors (the "Dilution Fee Payment Date"). The
                                            -------------------------
record date for any such Dilution Fee shall be the record date for the
applicable dividend, and any such Dilution Fee shall be payable to the persons
in whose name this Warrant is registered at the close of business on the
applicable record date.


 14. MISCELLANEOUS
     -------------

          14.1 Nonwaiver.  No course of dealing or any delay or failure to
               ---------
exercise any right hereunder on the part of the Company or the Holder shall
operate as a waiver of such right or otherwise prejudice the rights, powers or
remedies of such Person.

          14.2 Notice Generally.  Any notice, demand, request, consent,
               ----------------
approval, declaration, delivery or communication hereunder to be made pursuant
to the provisions of this Warrant shall be sufficiently given or made if in
writing and either delivered in person with receipt acknowledged or sent by
registered or certified mail, return receipt requested, postage prepaid,
addressed as follows:

          (a)  if to any Holder of this Warrant or of Warrant Stock issued upon
     the exercise hereof, at its last known address appearing on the books of
     the Company maintained for such purpose;

          (b)  if to the Company, at the Designated Office;

or at such other address as may be substituted by notice given as herein
provided. The giving of any notice required hereunder may be waived in writing
by the party entitled to receive such notice. Every notice, demand, request,
consent, approval, declaration, delivery or other communication hereunder shall
be deemed to have been duly given or served on the date on which personally
delivered, with receipt acknowledged, or three (3) Business Days after the same
shall have been deposited in the United States mail, or one (1) Business Day
after the same shall have been sent by Federal Express or another recognized
overnight courier service.

          14.3 Indemnification.  If the Company fails to make, when due, any
               ---------------
payments provided for in this Warrant, the Company shall pay to the Holder
hereof (a) interest at the Agreed Rate on any amounts due and owing to such
Holder and (b) such further amounts as shall be sufficient to cover any costs
and expenses including, but not limited to, reasonable attorneys' fees and
expenses incurred by such Holder in collecting any amounts due hereunder. The
Company shall indemnify, save and hold harmless the Holder hereof and the
Holders of any Warrant Stock issued upon the exercise hereof from and against
any and all liability, loss, cost, damage, reasonable attorneys' and
accountants' fees and expenses, court costs and all other out-of-pocket expenses
incurred in connection with or arising from any default hereunder by the
Company. This indemnification provision shall be in addition to the rights of
such Holder or Holders to bring an action against the Company for breach of
contract based on such default hereunder.

                                       17
<PAGE>

          14.4 Limitation of Liability.  No provision hereof, in the absence of
               -----------------------
affirmative action by the Holder to purchase shares of Non-Voting Common Stock,
and no enumeration herein of the rights or privileges of the Holder hereof,
shall give rise to any liability of such Holder to pay the Exercise Price for
any Warrant Stock other than pursuant to an exercise of this Warrant or any
liability as a stockholder of the Company, whether such liability is asserted by
the Company or by creditors of the Company.

          14.5 Remedies.  Each Holder of Warrants and/or Warrant Stock, in
               --------
addition to being entitled to exercise its rights granted by law, including
recovery of damages, shall be entitled to specific performance of its rights
provided under this Warrant.  The Company agrees that monetary damages would not
be adequate compensation for any loss incurred by reason of a breach by it of
the provisions of this Warrant and hereby agrees, in an action for specific
performance, to waive the defense that a remedy at law would be adequate.

          14.6 Successors and Assigns.  Subject to the provisions of Sections
               ----------------------
3.1, 9.1 and 8.2, this Warrant and the rights evidenced hereby shall inure to
the benefit of and be binding upon the successors of the Company and the
permitted successors and assigns of the Holder hereof. The provisions of this
Warrant are intended to be for the benefit of all Holders from time to time of
this Warrant and to the extent applicable, all Holders of shares of Warrant
Stock issued upon the exercise hereof (including transferees), and shall be
enforceable by any such Holder.

          14.7 Amendment.  This Warrant and all other Warrants may be modified
               ---------
or amended or the provisions hereof waived with the written consent of the
Company and the Majority Warrant Holders, provided that no such Warrant may be
                                          --------
modified or amended to reduce the number of shares of Non-Voting Common Stock
for which such Warrant is exercisable or to increase the price at which such
shares may be purchased upon exercise of such Warrant (before giving effect to
any adjustment as provided therein) without the written consent of the Holder
thereof.

          14.8 Severability.  Wherever possible, each provision of this Warrant
               -----------
shall be interpreted in such manner as to be effective and valid under
applicable law, but if any provision of this Warrant shall be prohibited by or
invalid under applicable law, such provision shall be ineffective to the extent
of such prohibition or invalidity, without invalidating the remainder of such
provision or the remaining provisions of this Warrant.

          14.9 Headings.  The headings used in this Warrant are for the
               --------
convenience of reference only and shall not, for any purpose, be deemed a part
of this Warrant.

          14.10  GOVERNING LAW; JURISDICTION.  IN ALL RESPECTS, INCLUDING ALL
                 ---------------------------
MATTERS OF CONSTRUCTION, VALIDITY AND PERFORMANCE, THIS WARRANT AND THE
OBLIGATIONS ARISING HEREUNDER SHALL BE GOVERNED BY, AND CONSTRUED AND ENFORCED
IN ACCORDANCE WITH, THE LAWS OF THE STATE OF NEW YORK APPLICABLE TO CONTRACTS
MADE AND PERFORMED IN SUCH STATE, EXCEPT WITH RESPECT TO THE VALIDITY OF THIS
WARRANT, THE ISSUANCE OF WARRANT STOCK UPON EXERCISE HEREOF AND

                                       18
<PAGE>

THE RIGHTS AND DUTIES OF THE COMPANY WITH RESPECT TO REGISTRATION OF TRANSFER,
WHICH SHALL BE GOVERNED BY THE LAWS OF DELAWARE. THE COMPANY HEREBY CONSENTS AND
AGREES THAT THE STATE OR FEDERAL COURTS LOCATED IN NEW YORK, SHALL HAVE, EXCEPT
AS SET FORTH BELOW, EXCLUSIVE JURISDICTION TO HEAR AND DETERMINE ANY CLAIMS OR
DISPUTES BETWEEN THE COMPANY AND THE HOLDER OF THIS WARRANT PERTAINING TO THIS
WARRANT OR TO ANY MATTER ARISING OUT OF OR RELATING TO THIS AGREEMENT, PROVIDED,
                                                                       --------
THAT IT IS ACKNOWLEDGED THAT ANY APPEALS FROM THOSE COURTS MAY HAVE TO BE HEARD
BY A COURT LOCATED OUTSIDE OF NEW YORK.

                                       19
<PAGE>

          IN WITNESS WHEREOF, the Company has caused this Warrant to be duly
executed and its corporate seal to be impressed hereon and attested by its
Secretary or an Assistant Secretary.


                                    RARE MEDIUM GROUP, INC.


                                    By:_______________________
                                       Name:
                                       Title:


[SEAL]

Attest:


By:_____________________________
   Name:
   Title:

                                       20
<PAGE>

                                    ANNEX A
                                    -------

                               SUBSCRIPTION FORM
                               -----------------

                [To be executed only upon exercise of Warrant]



          The undersigned registered owner of this Warrant irrevocably exercises
this Warrant for the purchase of ______ shares Non-Voting Common Stock of Rare
Medium Group, Inc. and herewith makes payment therefor in ______________, all at
the price and on the terms and conditions specified in this Warrant and requests
that certificates for the shares of Non-Voting Common Stock hereby purchased
(and any securities or other property issuable upon such exercise) be issued in
the name of and delivered to _________________ whose address is
___________________________________________________ and, if such shares of Non-
Voting Common Stock shall not include all of the shares of Non-Voting Common
Stock issuable as provided in this Warrant, that a new Warrant of like tenor and
date for the balance of the shares of Non-Voting Common Stock issuable hereunder
be delivered to the undersigned.

                               _______________________________
                               (Name of Registered Owner)

                               _______________________________
                               (Signature of Registered Owner)

                               _______________________________
                               (Street Address)

                               _______________________________
                               (City)    (State)    (Zip Code)



NOTICE:   The signature on this subscription must correspond with the name as
          written upon the face of the within Warrant in every particular,
          without alteration or enlargement or any change whatsoever.


<PAGE>

                                    ANNEX B
                                    -------

                                ASSIGNMENT FORM
                                ---------------


          FOR VALUE RECEIVED the undersigned registered owner of this Warrant
hereby sells, assigns and transfers unto the assignee named below all of the
rights of the under signed under this Warrant, with respect to the number of
shares of Non-Voting Common Stock set forth below:

                                          No. of Shares of
Name and Address of Assignee              Non-Voting Common Stock
- ----------------------------              -----------------------



and does hereby irrevocably constitute and appoint ________ _____________
attorney-in-fact to register such transfer onto the books of Rare Medium Group,
Inc. maintained for the purpose, with full power of substitution in the
premises.

Dated:___________________     Print Name:___________________



                              Signature:____________________

                              Witness:______________________


NOTICE:   The signature on this assignment must correspond with the name as
          written upon the face of the within Warrant in every particular,
          without alteration or enlargement or any change whatsoever.



<PAGE>

                                                                       Exhibit 3


                          CERTIFICATE OF DESIGNATION
                                      OF
                             SERIES A CONVERTIBLE
                                PREFERRED STOCK
                                      OF
                            RARE MEDIUM GROUP, INC.

                        (Pursuant to Section 151 of the
                       Delaware General Corporation Law)


          RARE MEDIUM GROUP, INC., a Delaware corporation (the "Company"),
                                                                -------
hereby certifies that the following resolution was adopted by the Board of
Directors of the Company:

          RESOLVED, that pursuant to the authority expressly granted to and
vested in the Board of Directors of the Company (the "Board of Directors") by
                                                      ------------------
the provisions of the Certificate of Incorporation of the Company (the
"Certificate of Incorporation"), there is hereby created, out of the 10,000,000
 ----------------------------
shares of Preferred Stock, par value $0.01 per share, of the Company authorized
and unissued in Article Fourth of the Certificate of Incorporation (the
"Preferred Stock"), a series of the Preferred Stock consisting of 2,000,000
 ---------------
shares, which series shall have the following powers, designations, preferences
and relative, participating, optional or other rights, and the following
qualifications, limitations and restrictions (in addition to any powers,
designations, preferences and relative, participating, optional or other rights,
and any qualifications, limitations and restrictions, set forth in the
Certificate of Incorporation which are applicable to the Preferred Stock):

          Section 1.  Designation of Amount. The 2,000,000 shares of Preferred
                      ---------------------
Stock shall be designated the "Series A Convertible Preferred Stock" (the
"Series A Preferred Stock") and the authorized number of shares constituting
 ------------------------
such series shall be 2,000,000.

          Section 2.  Dividends.
                      ---------

          (a)  The holders of the then outstanding shares of Series A Preferred
Stock will be entitled to receive, when, as and if declared by the Board of
Directors out of funds of the Company legally available therefor, cumulative
dividends, accruing on a daily basis from the Original Issuance Date through and
including the date on which such dividends are paid at the annual rate of (A)
7.50% from the Original Issuance Date through June 30, 2002 and (B) thereafter,
4.65% (in either case, the "Applicable Rate"), of the Liquidation Preference (as
                            ---------------
hereinafter defined) per share of the Series A Preferred Stock, payable in
arrears on the last day of
<PAGE>

each of December, March, June and September, commencing on June 30, 1999;
provided that: (i) if any such payment date is not a Business Day then such
- --------
dividend shall be payable on the next Business Day, and (ii) accumulated and
unpaid dividends for any prior quarterly period may be paid at any time. Such
dividends shall be deemed to accrue on the Series A Preferred Stock from the
Original Issuance Date and be cumulative whether or not earned or declared and
whether or not there are profits, surplus or other funds of the Company legally
available for the payment of dividends. The term "Business Day" means a day
                                                  ------------
other than a Saturday, Sunday or day on which banking institutions in New York
are authorized or required to remain closed. The term "Original Issuance Date"
                                                       ----------------------
means, with respect to the Series A Preferred Stock, the first date of issuance,
i.e., June 4, 1999, and, with respect to any Additional Securities (as
hereinafter defined), the date upon which they are issued or, if not issued, the
applicable dividend payment date on which the Additional Securities were to have
been issued.

          (b)  On any dividend payment date occurring on or prior to June 30,
2002, the Company shall pay a dividend on such Series A Preferred Stock through
the issuance of additional shares of Series A Preferred Stock ("Additional
                                                                ----------
Securities").  On any dividend payment date occurring after June 30, 2002 and on
- ----------
or prior to June 30, 2004, the Company shall pay a dividend on such Series A
Preferred Stock through the issuance of Additional Securities, provided that at
the option of either the holders of a majority of the then outstanding shares of
Series A Preferred Stock (the "Requisite Holders") or the Company, the Company
                               -----------------
shall pay the dividends in whole in cash.  In the event the Company or the
Requisite Holders, as the case may be, elect to have such dividends paid in
cash, they shall provide the other party written notice of such election not
less than ten days prior to the applicable dividend payment date.  On any
dividend payment date occurring after June 30, 2004, all dividends on such
Series A Preferred Stock shall be paid in cash.  Shares of Series A Preferred
Stock issued in payment of dividends shall be valued at all times at $100 per
share and each such share shall be issued with a detachable ten-year warrant
(each a "Series 1-A Warrant") that entitles its holder to purchase from the
         ------------------
Company thirteen and one-half (13.5) shares of the Company's common stock, par
value $0.01 per share (the "Common Stock").  The number of Additional Securities
                            ------------
that are issued to the holders of the Series A Preferred Stock under this
paragraph (b) will be the number obtained by dividing (i) the total dollar
amount of cumulative dividends due and payable on the applicable dividend
payment date by (ii) the Liquidation Preference, provided, that the Company
                                                 --------
shall not be required to issue fractional shares of Series A Preferred Stock,
but in lieu thereof shall pay in cash the portion of any dividend payable in
shares of Series A Preferred Stock that would otherwise require the issuance of
a fractional share, provided further, that in any such case, the Company shall
                    -------- -------
issue the holders fractional Series 1-A Warrants in an amount appropriate to
reflect the fractional share of Series A Preferred Stock.

          (c)  Holders of shares of the Series A Preferred Stock shall be
entitled full cumulative dividends, as herein provided, on the Series A
Preferred Stock and no additional amounts.  Except as set forth in paragraph (f)
below, no interest, or sum of money in lieu of interest, shall be payable in
respect of any dividend payment or payments on the Series A Preferred Stock that
may be in arrears.

                                      -2-
<PAGE>

          (d)  If dividends are not paid in full, or declared in full and sums
set apart for the payment thereof, upon the shares of Series A Preferred Stock
and the shares of any other series of Preferred Stock ranking on a parity as to
dividends with the Series A Preferred Stock ("Parity Stock"), all dividends
                                              ------------
declared upon shares of Series A Preferred Stock and upon all Parity Stock shall
be paid or declared pro rata so that in all cases the amount of dividends paid
or declared per share on the Series A Preferred Stock and such Parity Stock
shall bear to each other the same ratio that unpaid accumulated dividends per
share, including dividends accrued or in arrears, if any, on the shares of
Series A Preferred Stock and such other shares of Parity Stock, bear to each
other.  Unless and until full cumulative dividends on the shares of Series A
Preferred Stock in respect of all past quarterly dividend periods have been
paid, and the full amount of dividends on the shares of Series A Preferred Stock
in respect of the then current quarterly dividend period shall have been or are
contemporaneously declared in full and sums set aside for the payment thereof,
(i) no dividends shall be paid or declared or set aside for payment or other
distribution upon the Common Stock, or any other capital stock of the Company
ranking junior to the Series A Preferred Stock as to dividends (together with
the Common Stock, "Junior Stock"), other than in shares of, or warrants or
                   ------------
rights to acquire, Junior Stock; and (ii) no shares of Junior Stock or Parity
Stock shall be redeemed, retired, purchased or otherwise acquired for any
consideration (or any payment made to or available for a sinking fund for the
redemption of any such shares) by the Company or any Subsidiary of the Company
(except by conversion into or exchange for shares of Junior Stock).  For the
purposes hereof, a "Subsidiary" shall mean any corporation, association or other
                    ----------
business entity (i) at least 50% of the outstanding voting securities of which
are at the time owned or controlled by the Company; or (ii) with respect to
which the Company possesses, directly or indirectly, the power to direct or
cause the direction of the affairs or management of such person.   Holders of
shares of Series A Preferred Stock shall not be entitled to any dividends,
whether payable in cash, property or shares of capital stock, in excess of full
accrued and cumulative dividends as herein provided.

          The terms "accrued dividends," "dividends accrued" and "dividends in
arrears," whenever used herein with reference to shares of Series A Preferred
Stock shall be deemed to mean an amount which shall be equal to dividends
thereon at the Applicable Rate per share for the respective series from the date
or dates on which such dividends commence to accrue to the end of the then
current quarterly dividend period for such Preferred Stock (or, in the case of
redemption, to the date of redemption), whether or not earned or declared and
whether or not assets for the Company are legally available therefor, and if
full dividends are not declared or paid (whether in cash or in Additional
Securities), then such dividends shall cumulate, with additional dividends
thereon, compounded quarterly, at the Applicable Rate, for each quarterly period
during which such dividends remain unpaid, less the amount of all such dividends
paid, or declared in full and sums set aside for the payment thereof, upon such
shares of Preferred Stock.

          (e)  The amount of any dividends per share of Series A Preferred Stock
for any full quarterly period shall be computed by multiplying the Applicable
Rate for such quarterly dividend period by the Liquidation Preference per share
and dividing the result by four.  Dividends payable on the shares of Series A
Preferred Stock for any period less than a full quarterly dividend

                                      -3-
<PAGE>

period shall be computed on the basis of a 360-day year of twelve 30-day months
and the actual number of days elapsed for any period less than one month.

          (f) In the event any dividends are declared with respect to the Common
Stock, the holders of the Series A Preferred Stock as of the record date
established by the Board of Directors for such dividend shall be entitled to
receive as additional dividends (the "Additional Dividends") an amount (whether
                                      --------------------
in the form of cash, securities or other property) equal to the amount (and in
the form) of the dividends that such holder would have received had the Series A
Preferred Stock been converted into Common Stock as of the date immediately
prior to the record date of such dividend, such Additional Dividends to be
payable on the payment date of the dividend established by the Board of
Directors (the "Additional Dividend Payment Date").  The record date for any
                --------------------------------
such Additional Dividends shall be the record date for the applicable dividend,
and any such Additional Dividends shall be payable to the persons in whose name
this Series A Preferred Stock is registered at the close of business on the
applicable record date.

          Section 3. Liquidation Preference.  In the event of a liquidation,
                     ----------------------
dissolution or winding up of the Company, whether voluntary or involuntary, the
holders of Series A Preferred Stock then outstanding shall be entitled to
receive out of the available assets of the Company, whether such assets are
stated capital or surplus of any nature, an amount on such date equal to $100
per share of Series A Preferred Stock (the "Liquidation Preference") plus the
                                            ----------------------
amount of any accrued and unpaid dividends as of such date, calculated pursuant
to Section 2 hereinabove.  Such payment shall be made before any payment shall
be made or any assets distributed to the holders of any class or series of the
Common Stock or any other class or series of the Company's capital stock ranking
junior as to liquidation rights to the Series A Preferred Stock.  If upon any
such liquidation, dissolution or winding up of the Company the assets available
for payment of the Liquidation Preference are insufficient to permit the payment
to the holders of the Series A Preferred Stock of the full preferential amounts
described in this paragraph, then all the remaining available assets shall be
distributed among the holders of the then outstanding Series A Preferred Stock
pro rata according to the number of then outstanding shares of Series A
Preferred Stock held by each holder thereof.  No event that constitutes a Change
of Control (as defined in Section 5(b) below) shall be considered a liquidation,
dissolution or winding up of the Company for purposes of this Section 3 (unless
in connection therewith the liquidation of the Company is specifically
approved).

          Section 4. Mandatory Redemption. On June 30, 2012 (the "Redemption
                     --------------------                         ----------
Date"), the Company shall redeem for cash all shares of Series A Preferred Stock
- ----
that are then outstanding and any shares of Series A Preferred Stock then
issuable in respect of accrued but unpaid dividends, in each case, at a
redemption price per share equal to the Liquidation Preference thereof plus the
amount of any accrued and unpaid dividends as of such date ("Redemption Price").
                                                             ----------------
Not more than sixty (60) nor less than thirty (30) days prior to the Redemption
Date, notice by first class mail, postage prepaid, shall be given to each holder
of record of the Series A Preferred Stock, at such holder's address as it shall
appear upon the stock transfer books of the Company on such date. Each such
notice of redemption shall be irrevocable and shall specify the

                                      -4-
<PAGE>

date that is the Redemption Date, the Redemption Price, the identification of
the shares to be redeemed, the place or places of payment and that payment will
be made upon presentation and surrender of the certificate(s) evidencing the
shares of Series A Preferred Stock to be redeemed and that dividends on the
shares of the Series A Preferred Stock cease to accrue on the Redemption Date.
On or after the Redemption Date, each holder of shares of Series A Preferred
Stock shall surrender the certificate evidencing such shares to the Company at
the place designated in such notice and shall thereupon be entitled to receive
payment of the Redemption Price in the manner set forth in the notice. If, on
the Redemption Date, funds in cash in an amount sufficient to pay the aggregate
Redemption Price for all outstanding shares of Series A Preferred Stock shall be
available therefor and shall have been irrevocably set aside and deposited with
a bank or trust company in trust for purposes of payment of such Redemption
Price, then, notwithstanding that the certificates evidencing any shares so
called for redemption shall not have been surrendered, the shares shall no
longer be deemed outstanding, the holders thereof shall cease to be
stockholders, and all rights whatsoever with respect to the shares so called for
redemption (except the right of the holders to receive the Redemption Price upon
surrender of their certificates therefor) shall terminate. If at the Redemption
Date, the Company does not have sufficient funds legally available to redeem all
the outstanding shares of Series A Preferred Stock, the Company shall take all
measures permitted under the Delaware General Corporation Law to increase the
amount of its capital and surplus legally available, and the Company shall
purchase as many shares of Series A Preferred Stock as it may legally redeem,
ratably from the holders thereof in proportion to the number of shares held by
them, and shall thereafter from time to time, as soon as it shall have funds
available therefor, redeem as many shares of Series A Preferred Stock as it
legally may until it has redeemed all of the outstanding shares of Series A
Preferred Stock.

           Section 5. Optional Redemption.
                      -------------------

          (a)  Change of Control.  In the event that any Change of Control (as
               -----------------
hereinafter defined) shall occur at any time while any shares of Series A
Preferred Stock are outstanding, the Requisite Holders shall have the right to
give notice that they are exercising a Change of Control election (a "Change of
                                                                      ---------
Control Election"), with respect to all or any number of such holders' shares of
- ----------------
Series A Preferred Stock, during the period (the "Exercise Period") beginning on
                                                  ---------------
the 20th day and ending on the 90th day after the date of such Change of
Control.  Upon any such election, the Company shall redeem for cash each of such
holders' shares (including any shares then issuable in respect of accrued but
unpaid dividends) for which such an election is made, to the extent permitted by
applicable law, at the Redemption Price.

          (b)  As used herein, "Change of Control" means the occurrence of any
                                -----------------
of the following events:

               (1)  the acquisition by any individual, entity or group other
          than Apollo Management, L.P. or its affiliates (a "Person"), or any
                                                             ------
          Holder (as such term is defined in the Amended and Restated Securities
          Purchase Agreement (the "Agreement") dated as of June 4, 1999 among
                                   ---------
          the Company, Apollo Investment

                                      -5-
<PAGE>

          Fund IV, L.P., Apollo Overseas Partners IV, L.P. and AIF IV/RRRR LLC),
          including any "person" within the meaning of Section 13(d)(3) or
          14(d)(2) of the Securities Exchange Act of 1934, as amended (the
          "Exchange Act"), of beneficial ownership within the meaning of Rule
           ------------
          13d-3 promulgated under the Exchange Act, of more than 50% of either
          (i) the then outstanding shares of Common Stock (the "Outstanding
                                                                -----------
          Company Common Stock") or (ii) the combined voting power of the then
          --------------------
          outstanding securities of the Company entitled to vote generally in
          the election of directors (the "Outstanding Company Voting
                                          --------------------------
          Securities"); excluding, however, the following: (A) any acquisition
          ----------
          directly from the Company of Common Stock (excluding any acquisition
          resulting from an exercise, conversion or exchange privilege unless
          the security being so exercised, converted or exchanged was acquired
          directly from the Company), (B) any acquisition of Common Stock by the
          Company, (C) any acquisition of Common Stock by an employee benefit
          plan (or related trust) sponsored or maintained by the Company or any
          corporation controlled by the Company or (D) any acquisition of Common
          Stock by any corporation pursuant to a transaction which complies with
          clauses (i), (ii) and (iii) of subsection (3) of this Section 5(b);

               (2)  a majority of the individuals who, as of the Original
          Issuance Date of the Series A Preferred Stock, constitute the members
          of the Board of Directors not elected by the holders of Series A
          Preferred Stock (the "Incumbent Board") cease for any reason to serve
                                ---------------
          on such Board of Directors; provided that any individual who becomes a
          director of the Company subsequent to such Original Issuance Date,
          whose election, or nomination for election by the Company's
          stockholders, was approved by the vote of at least a majority of the
          directors then comprising the Incumbent Board shall be deemed a member
          of the Incumbent Board; and provided further, that any individual who
                                      -------- -------
          was initially elected as a director of the Company as a result of an
          actual or threatened election contest, as such terms are used in Rule
          14a-11 of Regulation 14A promulgated under the Exchange Act, or any
          other actual or threatened solicitation of proxies or consents by or
          on behalf of any Person other than the Board of Directors shall not be
          deemed a member of the Incumbent Board; or

               (3)  approval by the stockholders of the Company of a
          reorganization, merger or consolidation of the Company or sale or
          other disposition of all or substantially all of the assets of the
          Company (a "Corporate Transaction"); excluding, however, a Corporate
                      ---------------------
          Transaction pursuant to which (i) the individuals or entities who are
          the beneficial owners, respectively, of the Outstanding Company Common
          Stock and the Outstanding Company Voting Securities immediately prior
          to such Corporate Transaction will beneficially own, directly or
          indirectly, more than 50% of, respectively, the outstanding shares of
          common stock, and the combined voting power of the outstanding
          securities entitled to vote generally in the election of directors, as
          the case may be, of the corporation

                                      -6-
<PAGE>

          resulting from such Corporate Transaction (including, without
          limitation, a corporation which as a result of such transaction owns
          100% of the Outstanding Company Common Stock or all or substantially
          all of the Company's assets either directly or indirectly) in
          substantially the same proportions relative to each other as their
          ownership, immediately prior to such Corporate Transaction, of the
          Outstanding Company Common Stock and the Outstanding Company Voting
          Securities, as the case may be, (ii) no Person (other than: the
          Company; any employee benefit plan (or related trust) sponsored or
          maintained by the Company or any corporation controlled by the
          Company; the corporation resulting from such Corporate Transaction;
          and any Person which beneficially owned, immediately prior to such
          Corporate Transaction, directly or indirectly, 30% or more of the
          Outstanding Company Common Stock or the Outstanding Company Voting
          Securities, as the case may be) will beneficially own, directly or
          indirectly, 30% or more of, respectively, the outstanding shares of
          common stock of the corporation resulting from such Corporate
          Transaction or the combined voting power of the outstanding securities
          of such corporation entitled to vote generally in the election of
          directors and (iii) individuals who were members of the Incumbent
          Board will continue to serve as members of the board of directors of
          the corporation resulting from such Corporate Transaction.

          (c)  On or before the tenth (10th) day after a Change of Control, the
Company shall mail to all holders of record of the Series A Preferred Stock at
their respective addresses as the same shall appear on the books of the Company
as of such date, a notice disclosing (i) the Change of Control, (ii) the
Redemption Price per share of the Series A Preferred Stock applicable hereunder,
(iii)  the determination of the Requisite Holders to exercise a Change of
Control Election (or the date on which such a determination is scheduled to be
made) and (iv)  the procedure which the holder must follow to exercise the
redemption right provided above.  To exercise the Change of Control Election, if
applicable, a holder of the Series A Preferred Stock must deliver during the
Exercise Period written notice to the Company (or an agent designated by the
Company for such purpose) of the holder's exercise of the Change of Control
Election, accompanied by each certificate evidencing shares of the Series A
Preferred Stock with respect to which the Change of Control Election is being
exercised, duly endorsed for transfer.  On or prior to the fifth (5th) business
day after receipt of delivery of such written notice, the Company shall accept
for payment all shares of Series A Preferred Stock properly surrendered to the
Company (or an agent designated by the Company for such purpose) during the
Exercise Period for redemption in connection with the exercise of the Change of
Control Election and shall cause payment to be made in cash for such shares of
Series A Preferred Stock.  If at the time of any Change of Control, the Company
does not have sufficient capital and surplus legally available to purchase all
of the outstanding shares of Series A Preferred Stock, the Company shall take
all measures permitted under the Delaware General Corporation Law to increase
the amount of its capital and surplus legally available, and the Company shall
offer in its written notice of such Change of Control to purchase as many shares
of Series A Preferred Stock as it has capital and surplus legally available
therefor, ratably from the holders thereof in proportion to the total

                                      -7-
<PAGE>

number of shares tendered, and shall thereafter from time to time, as soon as it
shall have capital and surplus legally available therefor, offer to purchase as
many shares of Series A Preferred Stock as it has capital and surplus available
therefor until it has offered to purchase all of the outstanding shares of
Series A Preferred Stock.

          (d)  Optional Redemption by Company.  (A) At any time (i) after June
               ------------------------------
30, 2004 or (ii) after June 30, 2002 if the closing price of the Common Stock
quoted on the NASDAQ National Market System (or the primary national securities
exchange on which the Common Stock is then listed) on each of the preceding
thirty (30) trading days is greater than $12.00 per share (the "Redemption
                                                                ----------
Threshold"), the Company may, upon sixty (60) days notice, redeem all, but not
- ---------
less than all, of the then outstanding shares of Series A Preferred Stock
(including shares issuable in respect of accrued but unpaid dividends) for cash
in an amount per share equal to 103% of the Redemption Price.

          (B)  The Redemption Threshold is subject to adjustment from time to
time, in the event of any increase or decrease by way of a subdivision or split-
up of the outstanding shares of Common Stock or any decrease by way of a
combination of the outstanding shares of Common Stock into a smaller number of
shares of Common Stock.  In any such case, an appropriate adjustment shall be
made to the Redemption Threshold in a manner and on terms that effect the intent
of paragraph (A) above.

          (e)  Status of Redeemed Shares. Any shares of Series A Preferred Stock
               -------------------------
which shall at any time have been redeemed pursuant to Section 4 or 5 hereof
shall, after such redemption, have the status of authorized but unissued shares
of Preferred Stock, without designation as to series.

          Section 6. Voting Rights. (a) Except as otherwise provided by
                     -------------
applicable law and in addition to any voting rights provided by law, the holders
of Series A Preferred Stock:

               (i)   shall be entitled to vote together with the holders of the
          Common Stock as a single class on all matters submitted for a vote of
          holders of Common Stock (except for matters submitted to the holders
          of Common Stock in connection with the transaction contemplated by the
          Agreement);

               (ii)  shall have such other voting rights as are specified in the
          Certificate of Incorporation or as otherwise provided by Delaware law;
          and

               (iii) shall be entitled to receive notice of any stockholders'
          meeting in accordance with the Certificate of Incorporation and By-
          laws of the Company.

          Each share of Series A Preferred Stock shall entitle the holder
thereof to cast 0.875 votes for each whole vote that such holder would be
entitled to cast had such holder converted its Series A Preferred Stock into
shares of Common Stock as of the date immediately

                                      -8-
<PAGE>

prior to the record date for determining the stockholders of the Company
eligible to vote on any such matter; provided that the total voting power of the
                                     --------
holders of the Series A Preferred Stock shall in no event exceed the voting
power of 2,120,000 shares of Common Stock prior to the obtaining of stockholder
approval (the "Stockholder Approval") for the transactions pursuant to which the
               --------------------
Series A Preferred Stock was issued, as contemplated by the Agreement, and shall
in no event exceed the voting power of 9,750,000 shares of Common Stock in the
event Stockholder Approval is obtained.

          (b)  In addition to the other voting rights set forth herein, for so
long as the Apollo Stockholders (as such term is defined below) beneficially own
not less than 100,000 shares of Series A Preferred Stock, the following
provisions shall apply:

          The holders of Series A Preferred Stock shall have the exclusive
          right, voting separately as a single class, to elect one person to
          serve on the Board of Directors (such director is referred to as a
          "Preferred Stock Director"); provided, that if the size of the Board
           ------------------------    --------
          of Directors shall be increased, then the holders of Series A
          Preferred Stock shall have the right to elect that number of Preferred
          Stock Directors such that the number of Preferred Stock Directors
          divided by the total number of members of the Board of Directors (the
          "Preferred Director Percentage") is at least equal to the Preferred
           -----------------------------
          Director Percentage immediately prior to the increase in the size of
          the Board of Directors (without regard to any vacancy that shall exist
          from time to time).  On or after the date of Stockholder Approval (if
          such approval is obtained), the holders of Series A Preferred Stock
          shall have the right to elect two Preferred Stock Directors.  In any
          such election the holders of Series A Preferred Stock shall be
          entitled to cast one vote per share of Series A Preferred Stock held
          of record on the record date for the determination of the holders of
          Series A Preferred Stock entitled to vote on such election.  The
          initial Preferred Stock Director shall be appointed by the Board of
          Directors on the Original Issuance Date to serve until his or her
          successor is duly elected; in the event Stockholder Approval is
          obtained, the second Preferred Stock Director shall be appointed
          immediately after Stockholder Approval to serve until his or her
          successor is duly elected; and thereafter the Preferred Stock
          Directors shall be elected at the same time as other members of the
          Board of Directors.  A Preferred Stock Director may only be removed by
          the vote of the Requisite Holders, at a vote of the then outstanding
          shares of Series A Preferred Stock, voting as a single class, at a
          meeting called for such purpose.  If for any reason a Preferred Stock
          Director shall resign or otherwise be removed from the Board of
          Directors, then his or her replacement shall be a person elected by
          the holders of the Series A Preferred Stock, in accordance with the
          voting procedures set forth in this Section 6(b).  The Preferred Stock
          Directors shall be appointed by the Board of Directors to serve on
          each committee of the Board of Directors in the same proportions that
          the number of Preferred Stock Directors bears to the total number of
          directors then comprising the Board of Directors.

                                      -9-
<PAGE>

               (c)  So long as any Series A Preferred Stock remains outstanding,
     the Company shall not, without the written consent or affirmative vote of
     the Requisite Holders, at a meeting of the holders called for that purpose,
     amend, alter or repeal, whether by merger, consolidation, combination,
     reclassification or otherwise, the Certificate of Incorporation, By-Laws of
     the Company or any provision thereof (including the adoption of a new
     provision thereof) which would adversely affect the voting power of the
     Series A Preferred Stock or any other rights or privileges of the holders
     of the Series A Preferred Stock hereunder.

           Section 7. Conversion Rights.
                      -----------------

          (a)  General. Subject to and upon compliance with the provisions of
               -------
this Section 7, the holders of the shares of Series A Preferred Stock shall be
entitled, at their option, at any time prior to the date fixed for redemption of
such shares, to convert all or any such shares of Series A Preferred Stock into
a number of fully paid and non-assessable shares (calculated as to each
conversion to the nearest 1/100th of a share) of Common Stock.  The number of
shares of Common Stock to which a holder of Series A Preferred Stock shall be
entitled upon conversion shall be determined by dividing (x) the Liquidation
Preference of such Series A Preferred Stock (including shares issuable in
respect of accrued but unpaid dividends), plus the amount of any accrued but
                                          ----
unpaid dividends as of the Conversion Date by (y) the Conversion Price in effect
at the close of business on the Conversion Date (determined as provided in this
Section 7).

          (b)  Conversion Price. The conversion price (the "Conversion Price")
               ----------------                             ----------------
shall initially be $7.00 per share of Common Stock, subject to adjustment from
time to time in accordance with Section 7(d).

          (c)  Fractions of Shares. No fractional share of Common Stock shall be
               -------------------
issued upon conversion of shares of Series A Preferred Stock.  If more than one
share of Series A Preferred Stock shall be surrendered for conversion at one
time by the same holder, the number of full shares of Common Stock to be issued
and which shall be computed on the basis of the aggregate number of shares of
Series A Preferred Stock so surrendered.  Instead of any fractional shares of
Common Stock which would otherwise be issuable upon conversion of any shares of
Series A Preferred Stock, the Company shall pay a cash adjustment in respect of
such fractional share in an amount equal to the product of such fraction
multiplied by the Fair Market Value (as hereinafter defined) of one share of
Common Stock on the Conversion Date (as hereinafter defined).

          (d)  Adjustments to Conversion Price.  The Conversion Price shall be
               --------------------------------
subject to adjustment from time to time as follows:

               (i)  Upon Issuance of Common Stock. If the Company shall, at any
                    -----------------------------
time or from time to time after the Original Issuance Date, issue any shares of
Common Stock,

                                     -10-
<PAGE>

options to purchase or rights to subscribe for Common Stock, securities by their
terms convertible into or exchangeable for Common Stock, or options to purchase
or rights to subscribe for such convertible or exchangeable securities, other
than Additional Securities, Series B Preferred Stock or Excluded Stock, without
consideration or for consideration per share less than either (x) the Conversion
Price or (y) the Fair Market Value of the Common Stock, in effect immediately
prior to the issuance of such Common Stock or securities, then such Conversion
Price shall forthwith be lowered to a price equal to the price obtained by
multiplying:

               (A)  the Conversion Price in effect immediately prior to the
          issuance of such Common Stock or securities by

               (B)  a fraction of which (x) the denominator shall be the number
          of shares of Common Stock outstanding on a fully-diluted basis
          immediately after such issuance and (y) the numerator shall be the sum
          of (i) the number of shares of Common Stock outstanding on a fully-
          diluted basis immediately prior to the date of such issuance and (ii)
          the number of additional shares of Common Stock which the aggregate
          consideration for the number of shares of Common Stock so offered
          would purchase at the greater of the Conversion Price or the Fair
          Market Value per share of Common Stock.

          For purposes of this Section 7(d), "fully diluted basis" shall be
determined in accordance with the treasury method of GAAP.

               (ii) Upon Acquisition of Common Stock.  If the Company or any
                    --------------------------------
     Subsidiary shall, at any time or from time to time after the Original
     Issuance Date, directly or indirectly, redeem, purchase or otherwise
     acquire any shares of Common Stock, options to purchase or rights to
     subscribe for Common Stock, securities by their terms convertible into or
     exchangeable for Common Stock (other than shares of Series A Preferred
     Stock or Series B Preferred Stock that are redeemed according to their
     terms), or options to purchase or rights to subscribe for such convertible
     or exchangeable securities, for a consideration per share greater than the
     Fair Market Value (plus, in the case of such options, rights, or
     securities, the additional consideration required to be paid to the Company
     upon exercise, conversion or exchange) for shares of Common Stock in effect
     immediately prior to such event, then the Conversion Price shall forthwith
     be lowered to a price equal to the price obtained by multiplying:

               (A)  the Conversion Price in effect immediately prior to such
          event by

               (B)  a fraction of which (x) the denominator shall be the Fair
          Market Value per share of Common Stock immediately prior to such event
          and (y) the numerator shall be the result of dividing:

                                     -11-
<PAGE>

                      a)   (1) the product of (A) the number of shares of Common
                           Stock outstanding on a fully-diluted basis and (B)
                           the Fair Market Value per share of Common Stock, in
                           each case immediately prior to such event, minus (2)
                           the aggregate consideration paid by the Company in
                           such event (plus, in the case of such options,
                           rights, or convertible or exchangeable securities,
                           the aggregate additional consideration to be paid by
                           the Company upon exercise, conversion or exchange),
                           by

                      b)   the number of shares of Common Stock outstanding on a
                           fully-diluted basis immediately after such event.

               (iii)  For the purposes of any adjustment of a Conversion Price
     pursuant to paragraphs (i) and (ii) of this Section 7(d), the following
     provisions shall be applicable:

               (1)    In the case of the issuance of Common Stock for cash in a
          public offering or private placement, the consideration shall be
          deemed to be the amount of cash paid therefor before deducting
          therefrom any discounts, commissions or placement fees payable by the
          Company to any underwriter or placement agent in connection with the
          issuance and sale thereof.

               (2)    In the case of the issuance of Common Stock for a
          consideration in whole or in part other than cash, the consideration
          other than cash shall be deemed to be the Fair Market Value thereof as
          determined in accordance with the Appraisal Procedure.

               (3)    In the case of the issuance of options to purchase or
          rights to subscribe for Common Stock, securities by their terms
          convertible into or exchangeable for Common Stock, or options to
          purchase or rights to subscribe for such convertible or exchangeable
          securities, except for Additional Securities, Shares of Series B
          Preferred Stock or options to acquire Excluded Stock:

                      (a)  the aggregate maximum number of shares of Common
                           Stock deliverable upon exercise of such options to
                           purchase or rights to subscribe for Common Stock
                           shall be deemed to have been issued at the time such
                           options or rights were issued and for a consideration
                           equal to the consideration (determined in the manner
                           provided in subparagraphs (1) and (2) above), if any,
                           received by the Company upon the issuance of such
                           options or rights plus the minimum purchase price
                           provided in such options or rights for the Common
                           Stock covered thereby;

                                     -12-
<PAGE>

                      (b)  the aggregate maximum number of shares of Common
                           Stock deliverable upon conversion of or in exchange
                           of any such convertible or exchangeable securities or
                           upon the exercise of options to purchase or rights to
                           subscribe for such convertible or exchangeable
                           securities and subsequent conversion or exchange
                           thereof shall be deemed to have been issued at the
                           time such securities, options, or rights were issued
                           and for a consideration equal to the consideration
                           received by the Company for any such securities and
                           related options or rights (excluding any cash
                           received on account of accrued interest or accrued
                           dividends), plus the additional consideration, if
                           any, to be received by the Company upon the
                           conversion or exchange of such securities or the
                           exercise of any related options or rights (the
                           consideration in each case to be determined in the
                           manner provided in paragraphs (1) and (2) above) and

                      (c)  on any change in the number of shares or exercise
                           price of Common Stock deliverable upon exercise of
                           any such options or rights or conversions of or
                           exchanges for such securities, other than a change
                           resulting from the anti-dilution provisions thereof,
                           the applicable Conversion Price shall forthwith be
                           readjusted to such Conversion Price as would have
                           been obtained had the adjustment made upon the
                           issuance of such options, rights or securities not
                           converted prior to such change or options or rights
                           related to such securities not converted prior to
                           such change been made upon the basis of such change.

                      (d)  No further adjustment of the Conversion Price
                           adjusted upon the issuance of any such options,
                           rights, convertible securities or exchangeable
                           securities shall be made as a result of the actual
                           issuance of Common Stock on the exercise of any such
                           rights or options or any conversion or exchange of
                           any such securities.

               (iv)   Upon Stock Dividends, Subdivisions or Splits.  If, at any
                      --------------------------------------------
     time after the Original Issuance Date, the number of shares of Common Stock
     outstanding is increased by a stock dividend payable in shares of Common
     Stock or by a subdivision or split-up of shares of Common Stock, then,
     following the record date for the determination of holders of Common Stock
     entitled to receive such stock dividend, or to be affected by such
     subdivision or split-up, the Conversion Price shall be appropriately
     decreased so that

                                     -13-
<PAGE>

     the number of shares of Common Stock issuable on conversion of Series A
     Preferred Stock shall be increased in proportion to such increase in
     outstanding shares.

               (v)    Upon Combinations.  If, at any time after the Original
                      -----------------
     Issuance Date, the number of shares of Common Stock outstanding is
     decreased by a combination of the outstanding shares of Common Stock into a
     smaller number of shares of Common Stock, then, following the record date
     to determine shares affected by such combination, the Conversion Price
     shall be appropriately increased so that the number of shares of Common
     Stock issuable on conversion of each share of Series A Preferred Stock
     shall be decreased in proportion to such decrease in outstanding shares.

               (vi)   Upon Reclassifications, Reorganizations, Consolidations or
                      ----------------------------------------------------------
     Mergers.  In the event of any capital reorganization of the Company, any
     -------
     reclassification of the stock of the Company (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 stock dividend or subdivision, split-up or combination
     of shares), or any consolidation or merger of the Company with or into
     another corporation (where the Company is not the surviving corporation or
     where there is a change in or distribution with respect to the Common
     Stock), each share of Series A Preferred Stock shall after such
     reorganization, reclassification, consolidation, or merger be convertible
     into the kind and number of shares of stock or other securities or property
     of the Company or of the successor corporation resulting from such
     consolidation or surviving such merger, if any, to which the holder of the
     number of shares of Common Stock deliverable (immediately prior to the time
     of such reorganization, reclassification, consolidation or merger) upon
     conversion of such Series A Preferred Stock would have been entitled upon
     such reorganization, reclassification, consolidation or merger.  The
     provisions of this clause shall similarly apply to successive
     reorganizations, reclassifications, consolidations, or mergers.

               (viii) Deferral in Certain Circumstances. In any case in which
                      ---------------------------------
     the provisions of this Section 7(d) shall require that an adjustment shall
     become effective immediately after a record date of an event, the Company
     may defer until the occurrence of such event (1) issuing to the holder of
     any Series A Preferred Stock converted after such record date and before
     the occurrence of such event the shares of capital stock issuable upon such
     conversion by reason of the adjustment required by such event and issuing
     to such holder only the shares of capital stock issuable upon such
     conversion before giving effect to such adjustments, and (2) paying to such
     holder any amount in cash in lieu of fractional share of capital stock
     pursuant to Section 7(c) above; provided, however, that the Company shall
                                     --------  -------
     deliver to such holder an appropriate instrument or due bills evidencing
     such holder's right to receive such additional shares and such cash.

               (viii) Other Anti-Dilution Provisions.  If the Company has issued
                      ------------------------------
     or issues any securities on or after the Original Issuance Date containing
     provisions protecting the holder or holders thereof against dilution in any
     manner more favorable to

                                     -14-
<PAGE>

     such holder or holders thereof than those set forth in this Section 7(d),
     such provisions (or any more favorable portion thereof) shall be deemed to
     be incorporated herein as if fully set forth in this Certificate of
     Designation and, to the extent inconsistent with any provision of this
     Certificate of Designation, shall be deemed to be substituted therefor.

               (ix)  Appraisal Procedure. In any case in which the provisions of
                     -------------------
     this Section 7(d) shall necessitate that the Appraisal Procedure be
     utilized for purposes of determining an adjustment to the Conversion Price,
     the Company may defer until the completion of the Appraisal Procedure and
     the determination of the adjustment (1) issuing to the holder of any share
     of Series A Preferred Stock converted after the date of the event that
     requires the adjustment and before completion of the Appraisal Procedure
     and the determination of the adjustment, the shares of capital stock
     issuable upon such conversion by reason of the adjustment required by such
     event and issuing to such holder only the shares of capital stock issuable
     upon such conversion before giving effect to such adjustment and (2) paying
     to such holder any amount in cash in lieu of a fractional share of capital
     stock pursuant to Section 7(c) above; provided, however, that the Company
                                           --------  -------
     shall deliver to such holder an appropriate instrument or due bills
     evidencing such holder's right to receive such additional shares and such
     cash.

               (x)   Exceptions. Section 7(d) shall not apply to (i) any
                     ----------
     issuance of Common Stock upon exercise of any warrants or options (A)
     outstanding on the Original Issuance Date of the Series A Preferred Stock
     or (B) awarded to employees or directors of the Company pursuant to an
     employee stock option plan or stock incentive plan approved by the Board of
     Directors; (ii) any issuance of securities by the Company in underwritten
     public offerings; and (iii) repurchases by the Company of Common Stock
     approved by the Board of Directors (collectively, the "Excluded Stock").
                                                            --------------

          Notwithstanding the foregoing, in the case of shares of Series A
Preferred Stock called for redemption, conversion rights will expire at the
close of business on the last Business Day preceding any redemption date unless
the Company defaults in making the payment due upon redemption.

          (e)  Exercise of Conversion Privilege.  In order to exercise the
               --------------------------------
conversion privilege, the holder of any share of Series A Preferred Stock shall
surrender such Series A Preferred Stock, duly endorsed or assigned to the
Company in blank, at any office or agency of the Company maintained for such
purpose, accompanied by written notice to the Company at such office or agency
that the holder elects to convert such Series A Preferred Stock or, if less than
the entire amount thereof is to be converted, the portion thereof to be
converted.

          Series A Preferred Stock shall be deemed to have been converted
immediately prior to the close of business on the day (the "Conversion Date") of
                                                            ---------------
surrender of such shares of Series A Preferred Stock for conversion in
accordance with the foregoing provisions, and at such time the rights of the
holders of such shares of Series A Preferred Stock as holder shall cease, and

                                     -15-
<PAGE>

the Person or Persons entitled to receive the Common Stock issuable upon
conversion shall be treated for all purposes as the record holder or holders of
such Common Stock as and after such time. As promptly as practicable on or after
the Conversion Date, the Company shall issue and shall deliver at any office or
agency of the Company maintained for the surrender of Series A Preferred Stock a
certificate or certificates for the number of full shares of Common Stock
issuable upon conversion, together with payment in lieu of any fraction of a
share, as provided in Section 7(c).

          In the case of any Series A Preferred Stock which is converted in part
only, upon such conversion the Company shall execute and deliver a new share of
Series A Preferred Stock of authorized denomination in aggregate principal
amount equal to the unconverted portion of the principal amount of such share of
Series A Preferred Stock.

          (f)  Notice of Adjustment of Conversion Price. Whenever the Conversion
               ----------------------------------------
Price is adjusted as herein provided:

               (i)  the Company shall compute the adjusted Conversion Price in
          accordance with Section 7(d) and shall prepare a certificate signed by
          the Treasurer or Chief Financial Officer of the Company setting forth
          the adjusted Conversion Price and showing in reasonable detail the
          facts upon which such adjustment is based, and such certificate shall
          forthwith be filed at each office or agency maintained for such
          purpose or conversion of shares of Series A Preferred Stock; and

               (ii) a notice stating that the Conversion Price has been adjusted
          and setting forth the adjusted Conversion Price shall forthwith be
          prepared by the Company, and as soon as practicable after it is
          prepared, such notice shall be mailed by the Company at its expense to
          all holders at their last addresses as they shall appear in the stock
          register.

          (g)  Notice of Certain Corporate Action.
               ----------------------------------

               In case:

               (a)  the Company shall take an action or an event shall occur,
          that would require a Conversion Price adjustment pursuant to Section
          7(d); or

               (b)  the Company shall grant to the holders of its Common Stock
          rights or warrants to subscribe for or purchase any shares of capital
          stock of any class;

               (c)  of any reclassification of the Common Stock (other than a
          subdivision or combination of the outstanding shares of Common Stock),
          or of any consolidation, merger or share exchange to which the Company
          is a party and for

                                     -16-
<PAGE>

          which approval of any stockholders of the Company is required, or of
          the sale or transfer of all or substantially all of the assets of the
          Company; or

               (d)  of the voluntary or involuntary dissolution, liquidation or
          winding up of the Company; or

               (e)  the Company or any Subsidiary shall commence a tender offer
          for all or a portion of the outstanding shares of Common Stock (or
          shall amend any such tender offer to change the maximum number of
          shares being sought or the amount or type of consideration being
          offered therefor);

then the Company shall cause to be filed at each office or agency maintained for
such purpose, and shall cause to be mailed to all holders at their last
addresses as they shall appear in the stock register, at least 30 days prior to
the applicable record, effective or expiration date hereinafter specified, a
notice stating (x) the date on which a record is to be taken for the purpose of
such dividend, distribution or granting 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
who will be entitled to such dividend, distribution, rights or warrants are to
be determined, (y) the date on which such reclassification, consolidation,
merger, share exchange, sale, transfer, dissolution, liquidation or winding up
is expected to become effective, and the date as of which it is expected that
holders of Common Stock of record shall be entitled to exchange their shares of
Common Stock for securities, cash or other property deliverable upon such
reclassification, consolidation, merger, share exchange, sale, transfer,
dissolution, liquidation or winding up, or (z) the date on which such tender
offer commenced, the date on which such tender offer is scheduled to expire
unless extended, the consideration offered and the other material terms thereof
(or the material terms of the amendment thereto).  Such notice shall also set
forth such facts with respect thereto as shall be reasonably necessary to
indicate the effect of such action on the Conversion Price and the number, kind
or class of shares or other securities or property which shall be deliverable or
purchasable upon the occurrence of such action or deliverable upon conversion of
the Series A Preferred Stock.  Neither the failure to give any such notice nor
any defect therein shall affect the legality or validity of any action described
in clauses (a) through (e) of this Section 7(g).

          (h)  Company to Reserve Common Stock.
               -------------------------------

          The Company shall at all times reserve and keep available, free from
preemptive rights, out of the authorized but unissued Common Stock or out of the
Common Stock held in treasury, for the purpose of effecting the conversion of
Series A Preferred Stock, the full number of shares of Common Stock then
issuable upon the conversion of all outstanding shares of Series A Preferred
Stock.

          Before taking any action that would cause an adjustment reducing the
conversion price below the then par value (if any) of the shares of Common Stock
deliverable upon conversion of the Series A Preferred Stock, the Company will
take any corporate action that, in

                                     -17-
<PAGE>

the opinion of its counsel, is necessary in order that the Company may validly
and legally issue fully paid and non-assessable shares of Common Stock at such
adjusted conversion price.

          (i)  Taxes on Conversions.
               --------------------

          The Company will pay any and all original issuance, transfer, stamp
and other similar taxes that may be payable in respect of the issue or delivery
of shares of Common Stock on conversion of Series A Preferred Stock pursuant
hereto. The Company shall not, however, be required to pay any tax which may be
payable in respect of any transfer involved in the issue and delivery of shares
of Common Stock in a name other than that of the holder of the share(s) of
Series A Preferred Stock to be converted, and no such issue or delivery shall be
made unless and until the Person requesting such issue has paid to the Company
the amount of any such tax, or has established to the satisfaction of the
Company that such tax has been paid.

          (j)  Cancellation of Converted Series A Preferred Stock.
               --------------------------------------------------

          All Series A Preferred Stock delivered for conversion shall be
delivered to the Company to be canceled.

          (k)  Certain Definitions.
               -------------------

          As used in this Section 7, the following terms shall have the
following respective meanings:

          "Appraisal Procedure" if applicable, shall mean the following
           -------------------
procedure to determine the fair market value, as to any security, for purposes
of the definition of "Fair Market Value" or the fair market value, as to any
other property (in either case, the "valuation amount"). So long as Apollo
Investment Fund IV, L.P. or any of its affiliates (the "Apollo Stockholders")
                                                        -------------------
beneficially own sufficient shares of Series A Preferred Stock to constitute the
Requisite Holders, the valuation amount shall be determined in good faith
jointly by the Board of Directors and the Requisite Holders; provided, however,
                                                             --------  -------
that if such parties are not able to agree on the valuation amount within a
reasonable period of time (not to exceed twenty (20) days), the valuation amount
shall be determined by an investment banking firm of national recognition, which
firm shall be reasonably acceptable to the Board of Directors and the Requisite
Holders.  If the Board of Directors and the Requisite Holders are unable to
agree upon an acceptable investment banking firm within ten (10) days after the
date either party proposed that one be selected, the investment banking firm
will be selected by an arbitrator located in New York City, New York, selected
by the American Arbitration Association (or if such organization ceases to
exist, the arbitrator shall be chosen by a court of competent jurisdiction).
The arbitrator shall select the investment banking firm (within ten (10) days of
his appointment) from a list, jointly prepared by the Board of Directors and the
Requisite Holders, of not more than six investment banking firms of national
standing in the United States, of which no more than three may be named by the
Board of Directors and no more than three may be named by the Requisite Holders.
The arbitrator may

                                     -18-
<PAGE>

consider, within the ten-day period allotted, arguments from the parties
regarding which investment banking firm to choose, but the selection by the
arbitrator shall be made in its sole discretion from the list of six. The Board
of Directors and the Requisite Holders shall submit their respective valuations
and other relevant data to the investment banking firm, and the investment
banking firm shall as soon as practicable thereafter make its own determination
of the valuation amount. The final valuation amount for purposes hereof shall be
the average of the two valuation amounts closest together, as determined by the
investment banking firm, from among the valuation amounts submitted by the
Company and the Requisite Holders and the valuation amount calculated by the
investment banking firm. The determination of the final valuation amount by such
investment-banking firm shall be final and binding upon the parties. The Company
shall pay the fees and expenses of the investment banking firm and arbitrator
(if any) used to determine the valuation amount. If required by any such
investment banking firm or arbitrator, the Company shall execute a retainer and
engagement letter containing reasonable terms and conditions, including, without
limitation, customary provisions concerning the rights of indemnification and
contribution by the Company in favor of such investment banking firm or
arbitrator and its officers, directors, partners, employees, agents and
affiliates. If the Apollo Stockholders no longer constitute the Requisite
Holders, the valuation amount shall be determined in good faith by the Board of
Directors.

          "Fair Market Value" means, as to any security, the Twenty Day Average
           -----------------
of the average closing prices of such security's sales on all domestic
securities exchanges on which such security may at the time be listed, or, if
there have been no sales on any such exchange on any day, the average of the
highest bid and lowest asked prices on all such exchanges at the end of such
day, or, if on any day such security is not so listed, the average of the
representative bid and asked prices quoted in the NASDAQ National Market System
as of 4:00 P.M., New York City time, on such day, or, if on any day such
security is not quoted in the NASDAQ National Market System, the average of the
highest bid and lowest asked prices on such day in the domestic over-the-counter
market as reported by the National Quotation Bureau, Incorporated, or any
similar or successor organization (and in each such case excluding any trades
that are not bona fide, arm's length transactions).  If at any time such
security is not listed on any domestic securities exchange or quoted in the
NASDAQ National Market System or the domestic over-the-counter market, the "Fair
Market Value" of such security shall be the fair market value thereof as
determined in accordance with the Appraisal Procedure, using any appropriate
valuation method, assuming an arms-length sale to an independent party.  In
determining the fair market value of any class or series of Common Stock, a sale
of all of the issued and outstanding Common Stock will be assumed, without
giving regard to the lack of liquidity of such stock due to any restrictions
(contractual or otherwise) applicable thereto or any discount for minority
interests and assuming the conversion or exchange of all securities then
outstanding that are convertible into or exchangeable for Common Stock and the
exercise of all rights and warrants then outstanding and exercisable to purchase
shares of such stock or securities convertible into or exchangeable for shares
of such stock; provided, however that such assumption will not include those
               --------  -------
securities, rights and warrants convertible into Common Stock where the
conversion, exchange or exercise price per share is greater than the fair market
value; provided, further, however, that fair market
       --------  -------  -------

                                     -19-
<PAGE>

value shall be determined with regard to the relative priority of each class or
series of Common Stock (if more than one class or series exists.) "Fair Market
Value" means with respect to property other than securities, the "fair market
value" determined in accordance with the Appraisal Procedure.

          "GAAP" means generally accepted accounting principles set forth in the
           ----
opinions and pronouncements of the Accounting Principles Board of the American
Institute of Certified Public Accountants and statements and pronouncements of
the Financial Accounting Standards Board, which are in effect from time to time.

          "Twenty Day Average" means, with respect to any prices and in
           ------------------
connection with the calculation of Fair Market Value, the average of such prices
over the twenty Business Days ending on the Business Day immediately prior to
the day as of which "Fair Market Value" is being determined.

          Section 8. Preemptive Rights. Holders of shares of Series A Preferred
                     -----------------
Stock will have the right to purchase their pro rata portions of any future
private placements by the Company of equity or equity-linked securities, other
than (i) securities issued pursuant to the exercise of options or warrants
currently outstanding, options awarded to employees or directors of the Company
after the date hereof pursuant to currently existing employee incentive plans,
and options hereinafter issued under new employee incentive plans approved by
the Board of Directors and by the Apollo Stockholders and (ii) securities issued
as consideration in acquisitions by the Company.

          Section 9. Limitations.  In addition to any other rights provided by
                     -----------
applicable law, so long as any shares of Series A Preferred Stock are
outstanding, the Company shall not, without the affirmative vote, or the written
consent as provided by law, of the Requisite Holders, at a vote of the holders
of Series A Preferred Stock, voting separately as a class,

               (a)  create, authorize or issue any class, series or shares of
          Preferred Stock (other than Additional Securities issued pursuant to
          Section 2(b) hereof and Series B Preferred Stock issued as dividends)
          or any other class of capital stock ranking either as to payment of
          dividends or distribution of assets upon liquidation (i) prior to the
          Series A Preferred Stock, or (ii) on a parity with the Series A
          Preferred Stock, or (iii) junior to the Series A Preferred Stock, if
          such junior securities may be redeemed, in any circumstance, on or
          prior to the Redemption Date; or

               (b)  change the preferences, rights or powers with respect to the
          Series A Preferred Stock so as to affect the Series A Preferred Stock
          adversely.

          Section 10. Dividend Received Deduction. For federal income tax
                      ---------------------------
purposes, the Company shall report distributions on the Series A Preferred Stock
as dividends, to the extent of

                                     -20-
<PAGE>

the Company's current and accumulated earnings and profits (as determined for
federal income tax purposes).

          Section 11. Event of Non-Compliance. Whenever an Event of Non-
                      -----------------------
Compliance (as hereinafter defined) shall have occurred and be continuing, the
holders of Series A Preferred Stock shall have the exclusive right, voting
separately as a class, to elect a sufficient number of additional directors such
that the Preferred Stock Directors constitute a majority of the Board of
Directors, at the Company's next annual meeting of stockholders and at each
subsequent annual meeting of stockholders; provided, however, that if such
                                           --------  -------
voting rights shall become vested more than 90 days or less than 20 days before
the date prescribed for such meeting of stockholders, thereupon the holders of
the shares of Series A Preferred Stock shall be entitled to exercise their
voting rights at a special meeting of the holders of Series A Preferred Stock as
hereinafter set forth. At elections for Preferred Stock Directors, each holder
of Series A Preferred Stock shall be entitled to one vote for each share of
Series A Preferred Stock held. Upon the vesting of such right of the holders of
Series A Preferred Stock, the maximum authorized number of members of the Board
of Directors shall automatically be increased by such number as is required for
the Preferred Stock Directors to constitute a majority of the Board of Directors
and the vacancies so created shall be filled by vote of the holders of
outstanding Series A Preferred Stock as hereinabove set forth. The right of
holders of Series A Preferred Stock, voting separately as a class, to elect
members of the Board of Directors as aforesaid shall continue until such time as
all Events of Non-Compliance shall have been cured, at which time such rights
shall terminate, except as herein or by law expressly provided, subject to
revesting in the event of each and every subsequent Event of Non-Compliance.
Whenever such voting right shall have vested, such right may be exercised
initially either, as provided above, at a special meeting of the holders of
Series A Preferred Stock called as hereinafter provided, or at any annual
meeting of stockholders held for the purpose of electing directors, and
thereafter at such meetings or by the written consent of such holders pursuant
to Section 228 of the Delaware General Corporation Law. The Preferred Stock
Directors elected pursuant to Section 11 shall serve until the next annual
meeting of stockholders of the Company or until their respective successors
shall be elected and shall qualify. Any director elected by the holders of
Series A Preferred Stock may be removed by, and shall not be removed otherwise
than by, the vote of the Requisite Holders, at a vote of the then outstanding
shares of Series A Preferred Stock, voting as a separate class, at a meeting
called for such purpose or by written consent as permitted by law and the
Certificate of Incorporation and By-Laws of the Company. If the office of any
Preferred Stock Director becomes vacant by reason of death, resignation,
retirement, disqualification or removal from office or otherwise, such vacancy
shall be filled by the holders of Series A Preferred Stock voting as a class as
herein provided. Upon any termination of the right of the holders of Series A
Preferred Stock to vote for directors as herein provided, the term of office of
the Preferred Stock Director then in office shall terminate immediately.
Whenever the terms of office of a Preferred Stock Director shall so terminate
and the special voting powers vested in the holders of Series A Preferred Stock
shall have expired, the number of directors shall be such number as may be
provided for pursuant to the By-Laws of the Company irrespective of any increase
made pursuant to the provisions of this Section 11, and such Preferred Stock
Director or Directors shall forthwith resign or the holders of Series A

                                     -21-
<PAGE>

Preferred Stock shall promptly vote, or act by written consent, to remove such
Preferred Stock Director or Directors pursuant to the procedures set forth
above.

          The term "Event of Non-Compliance" shall mean (A) any breach by the
                    -----------------------
Company of any of its agreements and covenants set forth (i) in Section 7.12,
Section 8.2 or Article 9 of the Agreement, (ii) in Sections 2, 4, 5, 6, 7 or 8
of this Certificate of Designation, or (B) any obligation of the Company,
whether as principal, guarantor, surety or other obligor, for the payment of
indebtedness for borrowed money in excess of $10,000,000 (i) shall become or
shall be declared due and payable prior to the expressed maturity thereof, or
(ii) shall not be paid when due or within any grace period for the payment
thereof, and such default shall remain uncured for 15 days, or (C) the Common
Stock shall no longer be listed for trading on a United States national
securities exchange or the NASDAQ National Market (provided, that such Event of
                                                   --------
Non-Compliance shall be deemed to be cured immediately on the date upon which
the Common Stock is again listed for trading on a United States national
securities exchange or the NASDAQ National Market).

                                     -22-
<PAGE>

          IN WITNESS WHEREOF, the Company has caused this Certificate of
Designation to be signed by __________________, its _________, and attested by
________________, its Secretary, this ____ day of __________, 1999.



                                    By:_____________________________________
                                       Name:
                                       Title:

Attested:


By:_________________________
   Secretary

                                     -23-

<PAGE>

                                                                       EXHIBIT 4


                          CERTIFICATE OF DESIGNATION
                                      OF
                                   SERIES B
                                PREFERRED STOCK
                                      OF
                            RARE MEDIUM GROUP, INC.

                        (Pursuant to Section 151 of the
                       Delaware General Corporation Law)


          RARE MEDIUM GROUP, INC., a Delaware corporation (the "Company"),
                                                                -------
hereby certifies that the following resolution was adopted by the Board of
Directors of the Company:

          RESOLVED, that pursuant to the authority expressly granted to and
vested in the Board of Directors of the Company (the "Board of Directors") by
                                                      ------------------
the provisions of the Certificate of Incorporation of the Company (the
"Certificate of Incorporation"), there is hereby created, out of the 10,000,000
 ----------------------------
shares of Preferred Stock, par value $0.01 per share, of the Company authorized
and unissued in Article Fourth of the Certificate of Incorporation (the
"Preferred Stock"), a series of the Preferred Stock consisting of 1,500,000
 ---------------
shares, which series shall have the following powers, designations, preferences
and relative, participating, optional or other rights, and the following
qualifications, limitations and restrictions (in addition to any powers,
designations, preferences and relative, participating, optional or other rights,
and any qualifications, limitations and restrictions, set forth in the
Certificate of Incorporation which are applicable to the Preferred Stock):

          Section 1.  Designation of Amount.  The 1,500,000 shares of Preferred
                      ---------------------
Stock shall be designated the "Series B Preferred Stock" (the "Series B
                                                               --------
Preferred Stock") and the authorized number of shares constituting such series
- ---------------
shall be 1,500,000.

           Section 2. Dividends.
                      ---------

          (a) The holders of the then outstanding shares of Series B Preferred
Stock will be entitled to receive, when, as and if declared by the Board of
Directors out of funds of the Company legally available therefor, cumulative
dividends, accruing on a daily basis from the Original Issuance Date through and
including the date on which such dividends are paid at the annual rate of (A)
7.50% from the Original Issuance Date through June 30, 2002 and (B) thereafter,
4.65% (in either case, the "Applicable Rate"), of the Liquidation Preference (as
                            ---------------
<PAGE>

hereinafter defined) per share of the Series B Preferred Stock, payable in
arrears on the last day of each of December, March, June and September,
commencing on June 30, 1999; provided that: (i) the Applicable Rate shall be
                             --------
12.50% of the Liquidation Preference beginning on the Outside Date and
continuing until the stockholders of the Company shall have approved the matters
described in Section 7(a) hereof, (ii) if any such payment date is not a
Business Day then such dividend shall be payable on the next Business Day, and
(iii) accumulated and unpaid dividends for any prior quarterly period may be
paid at any time.  Such dividends shall be deemed to accrue on the Series B
Preferred Stock from the Original Issuance Date and be cumulative whether or not
earned or declared and whether or not there are profits, surplus or other funds
of the Company legally available for the payment of dividends. The term
"Business Day" means a day other than a Saturday, Sunday or day on which banking
 ------------
institutions in New York are authorized or required to remain closed.  The term
"Original Issuance Date" means, with respect to the Series B Preferred Stock,
 ----------------------
the first date of issuance, i.e., June 4, 1999, and, with respect to any
Additional Securities (as hereinafter defined), the date upon which they are
issued.  The term "Outside Date" means October 2, 1999.
                   ------------

          (b) On any dividend payment date occurring on or prior to June 30,
2002, the Company shall pay a dividend on such Series B Preferred Stock through
the issuance of additional shares of Series B Preferred Stock ("Additional
                                                                ----------
Securities").  On any dividend payment date occurring after June 30, 2002 and on
- ----------
or prior to June 30, 2004, the Company shall pay a dividend on such Series B
Preferred Stock through the issuance of Additional Securities, provided that at
the option of either the holders of a majority of the then outstanding shares of
Series B Preferred Stock (the "Requisite Holders") or the Company, the Company
                               -----------------
shall pay the dividends in whole in cash.  In the event the Company or the
Requisite Holders, as the case may be, elect to have such dividends paid in
cash, they shall provide the other party written notice of such election not
less than ten days prior to the applicable dividend payment date.  On any
dividend payment date occurring after June 30, 2004, all dividends on such
Series B Preferred Stock shall be paid in cash.  Shares of Series B Preferred
Stock issued in payment of dividends shall be valued at all times at $100 per
share and each such share shall be issued with a detachable ten-year warrant
(each a "Series 1-B Warrant") that entitles its holder to purchase from the
         ------------------
Company thirteen and one-half (13.5) shares of the Company's  non-voting common
stock, par value $0.01 par share (the "Non-Voting Common Stock").  The number of
                                       -----------------------
Additional Securities that are issued to the holders of the Series B Preferred
Stock under this paragraph (b) will be the number obtained by dividing (i) the
total dollar amount of cumulative dividends due and payable on the applicable
dividend payment date by (ii) the Liquidation Preference, provided, that the
                                                          --------
Company shall not be required to issue fractional shares of Series B Preferred
Stock, but in lieu thereof shall pay in cash the portion of any dividend payable
in shares of Series B Preferred Stock that would otherwise require the issuance
of a fractional share, provided further, that in any such case, the Company
                       -------- -------
shall issue to the holders fractional Series 1-B Warrants in an amount
appropriate to reflect the fractional share of Series 1-B Preferred Stock.

          (c) Holders of shares of the Series B Preferred Stock shall be
entitled to full cumulative dividends, as herein provided, on the Series B
Preferred Stock and no additional

                                      -2-
<PAGE>

amounts. Except as set forth in paragraph (f) below, no interest, or sum of
money in lieu of interest, shall be payable in respect of any dividend payment
or payments on the Series B Preferred Stock that may be in arrears.

          (d) If dividends are not paid in full, or declared in full and sums
set apart for the payment thereof, upon the shares of Series B Preferred Stock
and the shares of any other series of Preferred Stock ranking on a parity as to
dividends with the Series B Preferred Stock ("Parity Stock"), all dividends
                                              ------------
declared upon shares of Series B Preferred Stock and upon all Parity Stock shall
be paid or declared pro rata so that in all cases the amount of dividends paid
or declared per share on the Series B Preferred Stock and such Parity Stock
shall bear to each other the same ratio that unpaid accumulated dividends per
share, including dividends accrued or in arrears, if any, on the shares of
Series B Preferred Stock and such other shares of Parity Stock, bear to each
other.  Unless and until full cumulative dividends on the shares of Series B
Preferred Stock in respect of all past quarterly dividend periods have been
paid, and the full amount of dividends on the shares of Series B Preferred Stock
in respect of the then current quarterly dividend period shall have been or are
contemporaneously declared in full and sums set aside for the payment thereof,
(i) no dividends shall be paid or declared or set aside for payment or other
distribution upon the Company's common stock, par value $0.01 per share (the
"Common Stock"), the Non-Voting Common Stock or any other capital stock of the
 ------------
Company ranking junior to the Series B Preferred Stock as to dividends (together
with the Common Stock and the Non-Voting Common Stock, "Junior Stock"), other
                                                        ------------
than in shares of, or warrants or rights to acquire, Junior Stock; and (ii) no
shares of Junior Stock or Parity Stock shall be redeemed, retired, purchased or
otherwise acquired for any consideration (or any payment made to or available
for a sinking fund for the redemption of any such shares) by the Company or any
Subsidiary of the Company (except by conversion into or exchange for shares of
Junior Stock). For the purposes hereof, a "Subsidiary" shall mean any
                                           ----------
corporation, association or other business entity (i) at least 50% of the
outstanding voting securities of which are at the time owned or controlled by
the Company; or (ii) with respect to which the Company possesses, directly or
indirectly, the power to direct or cause the direction of the affairs or
management of such person. Holders of shares of Series B Preferred Stock shall
not be entitled to any dividends, whether payable in cash, property or shares of
capital stock, in excess of full accrued and cumulative dividends as herein
provided.

          The terms "accrued dividends," "dividends accrued" and "dividends in
arrears," whenever used herein with reference to shares of Series B Preferred
Stock shall be deemed to mean an amount which shall be equal to dividends
thereon at the Applicable Rate per share for the respective series from the date
or dates on which such dividends commence to accrue to the end of the then
current quarterly dividend period for such Preferred Stock (or, in the case of
redemption, to the date of redemption), whether or not earned or declared and
whether or not assets for the Company are legally available therefor, and if
full dividends are not declared or paid (whether in cash or in Additional
Securities), then such dividends shall cumulate, with additional dividends
thereon, compounded quarterly, at the Applicable Rate, for each quarterly period
during

                                      -3-
<PAGE>

which such dividends remain unpaid, less the amount of all such dividends paid,
or declared in full and sums set aside for the payment thereof, upon such shares
of Preferred Stock.

          (e) The amount of any dividends per share of Series B Preferred Stock
for any full quarterly period shall be computed by multiplying the Applicable
Rate for such quarterly dividend period by the Liquidation Preference per share
and dividing the result by four.  Dividends payable on the shares of Series B
Preferred Stock for any period less than a full quarterly dividend period shall
be computed on the basis of a 360-day year of twelve 30-day months and the
actual number of days elapsed for any period less than one month.

          (f) In the event any dividends are declared with respect to the Common
Stock, the holders of the Series B Preferred Stock as of the record date
established by the Board of Directors for such dividend shall be entitled to
receive as additional dividends (the "Additional Dividends") an amount (whether
                                      --------------------
in the form of cash, securities or other property) equal to the amount (and in
the form) of the dividends that such holder would have received had the Series B
Preferred Stock been converted into Common Stock (on the basis of one share of
Common Stock for each share of Non-Voting Common Stock into which the Series B
Preferred Stock is then convertible) as of the date immediately prior to the
record date of such dividend (whether or not the Series B Preferred Stock may be
converted into Non-Voting Common Stock on such date), such Additional Dividends
to be payable on the payment date of the dividend established by the Board of
Directors (the "Additional Dividend Payment Date").  The record date for any
                --------------------------------
such Additional Dividends shall be the record date for the applicable dividend,
and any such Additional Dividends shall be payable to the persons in whose name
this Series B Preferred Stock is registered at the close of business on the
applicable record date.

          Section 3. Liquidation Preference.  In the event of a liquidation,
                     ----------------------
dissolution or winding up of the Company, whether voluntary or involuntary, the
holders of Series B Preferred Stock then outstanding shall be entitled to
receive out of the available assets of the Company, whether such assets are
stated capital or surplus of any nature, an amount on such date equal to $100
per share of Series B Preferred Stock (the "Liquidation Preference") plus the
                                            ----------------------
amount of any accrued and unpaid dividends as of such date, calculated pursuant
to Section 2 hereinabove.  Such payment shall be made before any payment shall
be made or any assets distributed to the holders of any class or series of the
Common Stock or the Non-Voting Common Stock or any other class or series of the
Company's capital stock ranking junior as to liquidation rights to the Series B
Preferred Stock.  If upon any such liquidation, dissolution or winding up of the
Company the assets available for payment of the Liquidation Preference are
insufficient to permit the payment to the holders of the Series B Preferred
Stock of the full preferential amounts described in this paragraph, then all the
remaining available assets shall be distributed among the holders of the then
outstanding Series B Preferred Stock pro rata according to the number of then
outstanding shares of Series B Preferred Stock held by each holder thereof.  No
event that constitutes a Change in Control (as defined in Section 5(b) below)
shall be considered a liquidation, dissolution or winding up of the Company for
purposes of this Section 3 (unless in connection therewith the liquidation of
the Company is specifically approved).

                                      -4-
<PAGE>

          Section 4. Mandatory Redemption.  (a)  On June 30, 2012 (the
                     --------------------
"Redemption Date"), the Company shall redeem for cash all shares of Series B
 ---------------
Preferred Stock that are then outstanding and any shares of Series B Preferred
Stock then issuable in respect of accrued but unpaid dividends, in each case, at
a redemption price per share equal to the Liquidation Preference thereof plus
the amount of any accrued and unpaid dividends as of such date (the "Redemption
                                                                     ----------
Price").  Not more than sixty (60) nor less than thirty (30) days prior to the
- -----
Redemption Date, notice by first class mail, postage prepaid, shall be given to
each holder of record of the Series B Preferred Stock, at such holder's address
as it shall appear upon the stock transfer books of the Company on such date.
Each such notice of redemption shall be irrevocable and shall specify the date
that is the Redemption Date, the Redemption Price, the identification of the
shares to be redeemed, the place or places of payment and that payment will be
made upon presentation and surrender of the certificate(s) evidencing the shares
of Series B Preferred Stock to be redeemed and that dividends on the shares of
the Series B Preferred Stock cease to accrue on the Redemption Date.  On or
after the Redemption Date, each holder of shares of Series B Preferred Stock
shall surrender the certificate evidencing such shares to the Company at the
place designated in such notice and shall thereupon be entitled to receive
payment of the Redemption Price in the manner set forth in the notice.  If, on
the Redemption Date, funds in cash in an amount sufficient to pay the aggregate
Redemption Price for all outstanding shares of Series B Preferred Stock shall be
available therefor and shall have been irrevocably set aside and deposited with
a bank or trust company in trust for purposes of payment of such Redemption
Price, then, notwithstanding that the certificates evidencing any shares so
called for redemption shall not have been surrendered, the shares shall no
longer be deemed outstanding, the holders thereof shall cease to be
stockholders, and all rights whatsoever with respect to the shares so called for
redemption (except the right of the holders to receive the Redemption Price upon
surrender of their certificates therefor) shall terminate.  If at the Redemption
Date, the Company does not have sufficient funds legally available to redeem all
the outstanding shares of Series B Preferred Stock, the Company shall take all
measures permitted under the Delaware General Corporation Law to increase the
amount of its capital and surplus legally available, and the Company shall
purchase as many shares of Series B Preferred Stock as it may legally redeem,
ratably from the holders thereof in proportion to the number of shares held by
them, and shall thereafter from time to time, as soon as it shall have funds
available therefor, redeem as many shares of Series B Preferred Stock as it
legally may until it has redeemed all of the outstanding shares of Series B
Preferred Stock.

          (b)(i)  Right to Require Redemption.  If the Series B Preferred Stock
                  ---------------------------
shall not have been automatically converted into Series A Preferred Stock on or
prior to the Outside Date (such failure, a "Redemption Event") and upon the
                                            ----------------
delivery to the Company of a written request executed by the Requisite Holders,
the Company shall be required to redeem all outstanding Series B Preferred
Stock, on the date (the "Repurchase Date") that is 30 days after the date of the
                         ---------------
Company Notice (as defined below).  The redemption price per share (the
"Repurchase Price") shall be 110% of the Liquidation Preference thereof plus the
 ----------------                                                       ----
amount of any accrued and unpaid dividends thereon through the Repurchase Date.

                                      -5-
<PAGE>

     (ii) Notices; Method of Exercising Redemption Right, etc.

          (A) Not later than 15 days following the Outside Date, the Company
     shall mail to all holders of record of the Series B Preferred Stock a
     notice (the "Company Notice") stating that the Redemption Event has
                  --------------
     occurred and describing the redemption right set forth herein arising as a
     result thereof.  Each Company Notice of a redemption right shall also set
     forth:  (I) the Repurchase Date (assuming that the notice of the Requisite
     Holders is delivered in accordance with paragraph (B) below); (II) the date
     by which the redemption right must be exercised; (III) the Repurchase
     Price; (IV) a description of the procedure which a holder must follow to
     exercise a redemption right including a form of the irrevocable written
     notice referred to in Section 4(b)(ii)(B) hereof; and (V) the place or
     places where such shares of Series B Preferred Stock may be surrendered for
     repurchase.

No failure of the Company to give the foregoing notices or any defect therein
shall limit any holder's right to exercise a redemption right or affect the
validity of the proceedings for the redemption of Series B Preferred Stock.

          (B) To exercise a redemption right, the Requisite Holders must deliver
     to the Company on or before the Series B-to-A Conversion Date (as defined
     in Section 7) (i) irrevocable written notice of the Requisite Holders'
     exercise of such rights, which notice shall include a statement that an
     election to exercise the redemption right is being made thereby, and (ii)
     the certificates representing the Series B Preferred Stock with respect to
     which the redemption right is being exercised, duly endorsed for transfer
     to the Company.  Such written notice shall be irrevocable.  Subject to the
     provisions of Section 4(b)(ii)(D) below, Series B Preferred Stock
     surrendered for redemption together with such irrevocable written notice
     shall cease to be convertible from the date of delivery of such notice.

          (C) In the event a redemption right shall be exercised in accordance
     with the terms hereof, the Company shall pay or cause to be paid the
     Repurchase Price in cash, to the holder of the Series B Preferred Stock
     being redeemed on the Repurchase Date.  The source of such payment will be
     (i) first, from the Escrow Account established pursuant to the Amended and
     Restated Securities Purchase Agreement dated as of June 4, 1999 among the
     Company, Apollo Investment Fund IV, L.P., Apollo Overseas Partners IV, L.P.
     and AIF IV/RRRR LLC (the "Agreement"), and (ii) thereafter, from the
                               ---------
     Company out of funds legally available therefor.

          (D) If any Series B Preferred Stock surrendered for redemption shall
     not be so redeemed on the Repurchase Date, such Series B Preferred Stock
     shall be convertible at any time from the Repurchase Date until redeemed
     and, until

                                      -6-
<PAGE>

     such shares are redeemed by the Company, continue to accrue dividends to
     the extent permitted by applicable law from the Repurchase Date at the same
     rate borne by such Series B Preferred Stock. The Company shall pay to the
     holder of such Series B Preferred Stock the additional amounts arising from
     this Section 4(b)(ii)(D) at the same time that it pays the Repurchase
     Price, and if applicable such Series B Preferred Stock shall remain
     convertible into Series A Preferred Stock or Non-Voting Common Stock until
     the Repurchase Price plus any additional amounts owing on such Series B
     Preferred Stock shall have been paid or duly provided for.

          (E) Any Series B Preferred Stock which is to be redeemed only in part
     shall be surrendered at any office or agency of the Company designated for
     that purpose pursuant to Section 4(b)(ii)(A)(V) and the Company shall
     execute and deliver to the holder of such Series B Preferred Stock without
     service charge, a new certificate or certificates representing the Series B
     Preferred Stock, of any authorized denomination as requested by such
     holder, in aggregate amount equal to and in exchange for the unredeemed
     portion of the Series B Preferred Stock so surrendered.

           Section 5. Optional Redemption.
                      -------------------

          (a) Change of Control.  In the event that any Change of Control (as
              -----------------
hereinafter defined) shall occur at any time while any shares of Series B
Preferred Stock are outstanding, the Requisite Holders shall have the right to
give notice that they are exercising a Change of Control election (a "Change of
                                                                      ---------
Control Election"), with respect to all or any number of such holders' shares of
- ----------------
Series B Preferred Stock, during the period (the "Exercise Period") beginning on
                                                  ---------------
the 20th day and ending on the 90th day after the date of such Change of
Control.  Upon any such election, the Company shall redeem for cash each of such
holders' shares (including any shares then issuable in respect of accrued but
unpaid dividends) for which such an election is made, to the extent permitted by
applicable law, at the Redemption Price.

          (b) As used herein, "Change of Control" means the occurrence of any of
                               -----------------
the following events:

               (1) the acquisition by any individual, entity or group other than
          Apollo Management, L.P. or its affiliates (a "Person"), or any
                                                        ------
          Holder (as such term is defined in the Agreement), including any
          "person" within the meaning of Section 13(d)(3) or 14(d)(2) of the
          Securities Exchange Act of 1934, as amended (the "Exchange Act"), of
                                                            ------------
          beneficial ownership within the meaning of Rule 13d-3 promulgated
          under the Exchange Act, of more than 50% of either (i) the then
          outstanding shares of Common Stock (the "Outstanding Company Common
                                                   --------------------------
          Stock") or (ii) the combined voting power of the then outstanding
          -----
          securities of the Company entitled to vote generally in the
          election of directors (the "Outstanding
                                      -----------

                                      -7-
<PAGE>

          Company Voting Securities"); excluding, however, the following: (A)
          -------------------------
          any acquisition directly from the Company of Common Stock (excluding
          any acquisition resulting from an exercise, conversion or exchange
          privilege unless the security being so exercised, converted or
          exchanged was acquired directly from the Company), (B) any acquisition
          of Common Stock by the Company, (C) any acquisition of Common Stock by
          an employee benefit plan (or related trust) sponsored or maintained by
          the Company or any corporation controlled by the Company or (D) any
          acquisition of Common Stock by any corporation pursuant to a
          transaction which complies with clauses (i), (ii) and (iii) of
          subsection (3) of this Section 5(b);

               (2) a majority of the individuals who, as of the Original
          Issuance Date of the Series B Preferred Stock, constitute the members
          of the Board of Directors not elected by the holders of Series A
          Preferred Stock (the "Incumbent Board") cease for any reason to serve
                                ---------------
          on such Board of Directors; provided that any individual who becomes a
          director of the Company subsequent to such Original Issuance Date
          whose election, or nomination for election by the Company's
          stockholders, was approved by the vote of at least a majority of the
          directors then comprising the Incumbent Board shall be deemed a member
          of the Incumbent Board; and provided further, that any individual who
                                      ----------------
          was initially elected as a director of the Company as a result of an
          actual or threatened election contest, as such terms are used in Rule
          14a-11 of Regulation 14A promulgated under the Exchange Act, or any
          other actual or threatened solicitation of proxies or consents by or
          on behalf of any Person other than the Board of Directors shall not be
          deemed a member of the Incumbent Board; or

               (3) approval by the stockholders of the Company of a
          reorganization, merger or consolidation of the Company or sale or
          other disposition of all or substantially all of the assets of the
          Company (a "Corporate Transaction"); excluding, however, a Corporate
                      ---------------------
          Transaction pursuant to which (i) the individuals or entities who are
          the beneficial owners, respectively, of the Outstanding Company Common
          Stock and the Outstanding Company Voting Securities immediately prior
          to such Corporate Transaction will beneficially own, directly or
          indirectly, more than 50% of, respectively, the outstanding shares of
          common stock, and the combined voting power of the outstanding
          securities entitled to vote generally in the election of directors, as
          the case may be, of the corporation resulting from such Corporate
          Transaction (including, without limitation, a corporation which as a
          result of such transaction owns 100% of the Outstanding Company Common
          Stock or all or substantially all of the Company's assets either
          directly or indirectly) in substantially the same proportions relative
          to each other as their ownership, immediately prior to such Corporate
          Transaction, of the Outstanding Company Common Stock and the
          Outstanding Company Voting Securities, as the case may be, (ii) no
          Person (other than: the Company; any

                                      -8-
<PAGE>

          employee benefit plan (or related trust) sponsored or maintained by
          the Company or any corporation controlled by the Company; the
          corporation resulting from such Corporate Transaction; and any Person
          which beneficially owned, immediately prior to such Corporate
          Transaction, directly or indirectly, 30% or more of the Outstanding
          Company Common Stock or the Outstanding Company Voting Securities, as
          the case may be) will beneficially own, directly or indirectly, 30% or
          more of, respectively, the outstanding shares of common stock of the
          corporation resulting from such Corporate Transaction or the combined
          voting power of the outstanding securities of such corporation
          entitled to vote generally in the election of directors and (iii)
          individuals who were members of the Incumbent Board will continue to
          serve as members of the board of directors of the corporation
          resulting from such Corporate Transaction.

          (c) On or before the tenth (10th) day after a Change of Control, the
Company shall mail to all holders of record of the Series B Preferred Stock at
their respective addresses as the same shall appear on the books of the Company
as of such date, a notice disclosing (i) the Change of Control, (ii) the
Redemption Price per share of the Series B Preferred Stock applicable hereunder,
(iii)  the determination of the Requisite Holders to exercise a Change of
Control Election (or the date on which such a determination is scheduled to be
made) and (iv)  the procedure which the holder must follow to exercise the
redemption right provided above.  To exercise the Change of Control Election, if
applicable, a holder of the Series B Preferred Stock must deliver during the
Exercise Period written notice to the Company (or an agent designated by the
Company for such purpose) of the holder's exercise of the Change of Control
Election, accompanied by each certificate evidencing shares of the Series B
Preferred Stock with respect to which the Change of Control Election is being
exercised, duly endorsed for transfer.  On or prior to the fifth (5th) business
day after receipt of delivery of such written notice, the Company shall accept
for payment all shares of Series B Preferred Stock properly surrendered to the
Company (or an agent designated by the Company for such purpose) during the
Exercise Period for redemption in connection with the exercise of the Change of
Control Election and shall cause payment to be made in cash for such shares of
Series B Preferred Stock.  If at the time of any Change of Control, the Company
does not have sufficient capital and surplus legally available to purchase all
of the outstanding shares of Series B Preferred Stock, the Company shall take
all measures permitted under the Delaware General Corporation Law to increase
the amount of its capital and surplus legally available, and the Company shall
offer in its written notice of such Change of Control to purchase as many shares
of Series B Preferred Stock as it has capital and surplus legally available
therefor, ratably from the holders thereof in proportion to the total number of
shares tendered, and shall thereafter from time to time, as soon as it shall
have capital and surplus legally available therefor, offer to purchase as many
shares of Series B Preferred Stock as it has capital and surplus available
therefor until it has offered to purchase all of the outstanding shares of
Series B Preferred Stock.

          (d) Status of Redeemed Shares.  Any shares of Series B Preferred Stock
              -------------------------
which shall at any time have been redeemed pursuant to Section 4 or 5 hereof
shall, after such

                                      -9-
<PAGE>

redemption, have the status of authorized but unissued shares of Preferred
Stock, without designation as to series.

          Section  6. Consent Rights.  So long as any Series B Preferred Stock
                      --------------
remains outstanding, the Company shall not, without the written consent or
affirmative vote of the Requisite Holders, at a meeting of the holders called
for that purpose, amend, alter or repeal, whether by merger, consolidation,
combination, reclassification or otherwise, the Certificate of Incorporation,
By-Laws of the Company or any provision thereof (including the adoption of a new
provision thereof) which would adversely affect the voting power of the Series B
Preferred Stock or any other rights or privileges of the holders of the Series B
Preferred Stock hereunder.

           Section 7.  Conversion to Series A Preferred Stock.
                       --------------------------------------

          (a) The Company will, as soon as practicable, duly call, give notice
of, convene and hold a meeting of its stockholders for the purpose of approving,
among other things, the conversion of the Series B Preferred Stock into Series A
Preferred Stock (the "Series B-to-A Conversion") and the creation of the Non-
                      ------------- ----------
Voting Common Stock.  The Company shall use its best efforts to secure such
approval on or prior to the Outside Date.  Upon stockholder approval of the
Series B-to-A Conversion, whenever obtained, each outstanding share of Series B
Preferred Stock shall, without any action on the part of the holder thereof or
the Company, be automatically converted into one fully-paid and non-assessable
share of Series A Preferred Stock. Any accrued and unpaid dividends shall be
credited and transferred so that a holder is in the same economic position
following such conversion.

          (b) Promptly following any Series B-to-A Conversion, the holder of the
Series B Preferred Stock shall (i) surrender the certificates or certificates
evidencing the shares of Series B Preferred Stock, duly endorsed in a form
reasonably satisfactory to the Company, at the office of the Company or of the
transfer agent for the Series B Preferred Stock and (ii) state in writing the
name or names in which the certificate or certificates for shares of Series A
Preferred Stock are to be issued.  As soon as practical following receipt of the
foregoing, the Company shall deliver to such former holder of Series B Preferred
Stock, a certificate or certificates in denominations acceptable to such holder
representing the shares of Series A Preferred Stock. Such conversion shall be
deemed to have been effected as of the close of business on the date on which
the stockholders of the Company approve the Series B-to-A Conversion.

           Section 8. Conversion Rights.
                      -----------------

          (a) General. Subject to and upon compliance with the provisions of
              -------
this Section 8, the holders of the shares of Series B Preferred Stock shall be
entitled, at their option, at any time prior to the date fixed for redemption of
such shares to convert all or any such shares of Series B Preferred Stock into a
number of fully paid and non-assessable shares (calculated as to each conversion
to the nearest 1/100th of a share) of Non-Voting Common Stock.  The number of
shares of Non-Voting Common Stock to which a holder of Series B Preferred Stock
shall be

                                     -10-
<PAGE>

entitled upon conversion shall be determined by dividing (x) the Liquidation
Preference of such Series B Preferred Stock (including shares issuable in
respect of accrued but unpaid dividends), plus the amount of any accrued but
                                          ----
unpaid dividends as of the Conversion Date by (y) the Conversion Price in effect
at the close of business on the Conversion Date (determined as provided in this
Section 8); provided, however, if after the Outside Date any holder of Series B
            --------
Preferred Stock elects to convert such shares to Non-Voting Common Stock
pursuant to this Section 8 and it is determined that the Company cannot issue
Non-Voting Common Stock, the Company shall use its reasonable efforts to deliver
to such holders securities, cash or other property that would provide such
investors with the economic equivalent of a conversion of the Series B Preferred
Stock into, and an immediate sale of, the Non-Voting Common Stock.

          (b) Conversion Price. The conversion price (the "Conversion Price")
              ----------------                             ----------------
shall initially be $7.00 per share of Non-Voting Common Stock, subject to
adjustment from time to time in accordance with Section 8(d).

          (c) Fractions of Shares.  No fractional share of Non-Voting Common
              -------------------
Stock shall be issued upon conversion of shares of Series B Preferred Stock.  If
more than one share of Series B Preferred Stock shall be surrendered for
conversion at one time by the same holder, the number of full shares of Non-
Voting Common Stock to be issued and which shall be computed on the basis of the
aggregate number of shares of Series B Preferred Stock so surrendered.  Instead
of any fractional shares of Non-Voting Common Stock which would otherwise be
issuable upon conversion of any shares of Series B Preferred Stock, the Company
shall pay a cash adjustment in respect of such fractional share in an amount
equal to the product of such fraction multiplied by the Fair Market Value (as
hereinafter defined) of one share of Non-Voting Common Stock on the Conversion
Date (as hereinafter defined).

          (d) Adjustments to Conversion Price.  In order to prevent dilution of
              --------------------------------
the conversion rights granted hereunder, the number of shares of Non-Voting
Common Stock issuable upon conversion and the Conversion Price shall each be
adjusted from time to time in the same manner as the number of shares of Common
Stock issuable upon conversion of the Series A Preferred Stock and the
"Conversion Price" as set forth in the Certificate of Designation of Series A
Preferred Stock are adjusted pursuant to the Series A Certificate of
Designation.

          (e) Exercise of Conversion Privilege.  In order to exercise the
              --------------------------------
conversion privilege, the holder of any share of Series B Preferred Stock shall
surrender such Series B Preferred Stock, duly endorsed or assigned to the
Company in blank, at any office or agency of the Company maintained for such
purpose, accompanied by written notice to the Company at such office or agency
that the holder elects to convert such Series B Preferred Stock or, if less than
the entire amount thereof is to be converted, the portion thereof to be
converted.

          Series B Preferred Stock shall be deemed to have been converted
immediately prior to the close of business on the day (the "Conversion Date") of
                                                            ---------------
surrender of such shares of Series B Preferred Stock for conversion in
accordance with the foregoing provisions, and at such

                                     -11-
<PAGE>

time the rights of the holders of such shares of Series B Preferred Stock as
holder shall cease, and the Person or Persons entitled to receive the Common
Stock issuable upon conversion shall be treated for all purposes as the record
holder or holders of such Common Stock as and after such time. As promptly as
practicable on or after the Conversion Date, the Company shall issue and shall
deliver at any office or agency of the Company maintained for the surrender of
Series B Preferred Stock a certificate or certificates for the number of full
shares of Non-Voting Common Stock issuable upon conversion, together with
payment in lieu of any fraction of a share, as provided in Section 8(c).

          In the case of any Series B Preferred Stock which is converted in part
only, upon such conversion the Company shall execute and deliver a new share of
Series B Preferred Stock of authorized denomination in aggregate principal
amount equal to the unconverted portion of the principal amount of such share of
Series B Preferred Stock.

          (f)  Notice of Adjustment of Conversion Price. Whenever the Conversion
               ----------------------------------------
Price is adjusted as herein provided:

               (i) the Company shall compute the adjusted Conversion Price in
     accordance with Section 8(d) and shall prepare a certificate signed by the
     Treasurer or Chief Financial Officer of the Company setting forth the
     adjusted Conversion Price and showing in reasonable detail the facts upon
     which such adjustment is based, and such certificate shall forthwith be
     filed at each office or agency maintained for such purpose or conversion of
     shares of Series B Preferred Stock; and

               (ii) a notice stating that the Conversion Price has been adjusted
     and setting forth the adjusted Conversion Price shall forthwith be prepared
     by the Company, and as soon as practicable after it is prepared, such
     notice shall be mailed by the Company at its expense to all holders at
     their last addresses as they shall appear in the stock register.

          (g)  Notice of Certain Corporate Action.
               ----------------------------------

               In case:

               (a) the Company shall take an action or an event shall occur,
     that would require a Conversion Price adjustment pursuant to Section 8(d);
     or

               (b) the Company shall grant to the holders of its Common Stock
     rights or warrants to subscribe for or purchase any shares of capital stock
     of any class;

               (c) of any reclassification of the Common Stock (other than a
     subdivision or combination of the outstanding shares of Common Stock), or
     of any

                                     -12-
<PAGE>

     consolidation, merger or share exchange to which the Company is a party and
     for which approval of any stockholders of the Company is required, or of
     the sale or transfer of all or substantially all of the assets of the
     Company; or

               (d) of the voluntary or involuntary dissolution, liquidation or
     winding up of the Company; or

               (e) the Company or any Subsidiary shall commence a tender offer
     for all or a portion of the outstanding shares of Common Stock (or shall
     amend any such tender offer to change the maximum number of shares being
     sought or the amount or type of consideration being offered therefor);

then the Company shall cause to be filed at each office or agency maintained for
such purpose, and shall cause to be mailed to all holders at their last
addresses as they shall appear in the stock register, at least 30 days prior to
the applicable record, effective or expiration date hereinafter specified, a
notice stating (x) the date on which a record is to be taken for the purpose of
such dividend, distribution or granting 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
who will be entitled to such dividend, distribution, rights or warrants are to
be determined, (y) the date on which such reclassification, consolidation,
merger, share exchange, sale, transfer, dissolution, liquidation or winding up
is expected to become effective, and the date as of which it is expected that
holders of Common Stock of record shall be entitled to exchange their shares of
Common Stock for securities, cash or other property deliverable upon such
reclassification, consolidation, merger, share exchange, sale, transfer,
dissolution, liquidation or winding up, or (z) the date on which such tender
offer commenced, the date on which such tender offer is scheduled to expire
unless extended, the consideration offered and the other material terms thereof
(or the material terms of the amendment thereto).  Such notice shall also set
forth such facts with respect thereto as shall be reasonably necessary to
indicate the effect of such action on the Conversion Price and the number, kind
or class of shares or other securities or property which shall be deliverable or
purchasable upon the occurrence of such action or deliverable upon conversion of
the Series B Preferred Stock.  Neither the failure to give any such notice nor
any defect therein shall affect the legality or validity of any action described
in clauses (a) through (e) of this Section 8(g).

          (h) Company to Reserve Common Stock.
              -------------------------------

          The Company shall at all times reserve and keep available, free from
preemptive rights, out of the authorized but unissued Non-Voting Common Stock or
out of the Non-Voting Common Stock held in treasury, for the purpose of
effecting the conversion of Series B Preferred Stock, the full number of shares
of Non-Voting  Common Stock then issuable upon the conversion of all outstanding
shares of Series B Preferred Stock.

          Before taking any action that would cause an adjustment reducing the
conversion price below the then par value (if any) of the shares of Non-Voting
Common Stock deliverable

                                     -13-
<PAGE>

upon conversion of the Series B Preferred Stock, the Company will take any
corporate action that, in the opinion of its counsel, is necessary in order that
the Company may validly and legally issue fully paid and non-assessable shares
of Non-Voting Common Stock at such adjusted conversion price.

          (i)  Taxes on Conversions.
               --------------------

          The Company will pay any and all original issuance, transfer, stamp
and other similar taxes that may be payable in respect of the issue or delivery
of shares of Non-Voting Common Stock on conversion of Series B Preferred Stock
pursuant hereto.  The Company shall not, however, be required to pay any tax
which may be payable in respect of any transfer involved in the issue and
delivery of shares of Non-Voting Common Stock in a name other than that of the
holder of the share(s) of Series B Preferred Stock to be converted, and no such
issue or delivery shall be made unless and until the Person requesting such
issue has paid to the Company the amount of any such tax, or has established to
the satisfaction of the Company that such tax has been paid.

          (j)  Cancellation of Converted Series B Preferred Stock.
               --------------------------------------------------

          All Series B Preferred Stock delivered for conversion shall be
delivered to the Company to be canceled.

          (k)  Certain Definitions.
               -------------------

          As used in this Section 8, the following terms shall have the
following respective meanings:

          "Appraisal Procedure" if applicable, shall mean the following
           -------------------
procedure to determine the fair market value, as to any security, for purposes
of the definition of "Fair Market Value" or the fair market value, as to any
other property (in either case, the "valuation amount"). So long as Apollo
Investment Fund IV, L.P. or any of its affiliates (the "Apollo Stockholders")
                                                        -------------------
beneficially own sufficient shares of Series B Preferred Stock to constitute the
Requisite Holders, the valuation amount shall be determined in good faith
jointly by the Board of Directors and the Requisite Holders; provided, however,
                                                             --------  -------
that if such parties are not able to agree on the valuation amount within a
reasonable period of time (not to exceed twenty (20) days), the valuation amount
shall be determined by an investment banking firm of national recognition, which
firm shall be reasonably acceptable to the Board of Directors and the Requisite
Holders.  If the Board of Directors and the Requisite Holders are unable to
agree upon an acceptable investment banking firm within ten (10) days after the
date either party proposed that one be selected, the investment banking firm
will be selected by an arbitrator located in New York City, New York, selected
by the American Arbitration Association (or if such organization ceases to
exist, the arbitrator shall be chosen by a court of competent jurisdiction).
The arbitrator shall select the investment banking firm (within ten (10) days of
his appointment) from a list, jointly prepared by the Board of

                                     -14-
<PAGE>

Directors and the Requisite Holders, of not more than six investment banking
firms of national standing in the United States, of which no more than three may
be named by the Board of Directors and no more than three may be named by the
Requisite Holders. The arbitrator may consider, within the ten-day period
allotted, arguments from the parties regarding which investment banking firm to
choose, but the selection by the arbitrator shall be made in its sole discretion
from the list of six. The Board of Directors and the Requisite Holders shall
submit their respective valuations and other relevant data to the investment
banking firm, and the investment banking firm shall as soon as practicable
thereafter make its own determination of the valuation amount. The final
valuation amount for purposes hereof shall be the average of the two valuation
amounts closest together, as determined by the investment banking firm, from
among the valuation amounts submitted by the Company and the Requisite Holders
and the valuation amount calculated by the investment banking firm. The
determination of the final valuation amount by such investment-banking firm
shall be final and binding upon the parties. The Company shall pay the fees and
expenses of the investment banking firm and arbitrator (if any) used to
determine the valuation amount. If required by any such investment banking firm
or arbitrator, the Company shall execute a retainer and engagement letter
containing reasonable terms and conditions, including, without limitation,
customary provisions concerning the rights of indemnification and contribution
by the Company in favor of such investment banking firm or arbitrator and its
officers, directors, partners, employees, agents and affiliates. If the Apollo
Stockholders no longer constitute the Requisite Holders, the valuation amount
shall be determined in good faith by the Board of Directors.

          "Fair Market Value" means, as to any security, the Twenty Day Average
           -----------------
of the average closing prices of such security's sales on all domestic
securities exchanges on which such security may at the time be listed, or, if
there have been no sales on any such exchange on any day, the average of the
highest bid and lowest asked prices on all such exchanges at the end of such
day, or, if on any day such security is not so listed, the average of the
representative bid and asked prices quoted in the NASDAQ System as of 4:00 P.M.,
New York City time, on such day, or, if on any day such security is not quoted
in the NASDAQ System, the average of the highest bid and lowest asked prices on
such day in the domestic over-the-counter market as reported by the National
Quotation Bureau, Incorporated, or any similar or successor organization (and in
each such case excluding any trades that are not bona fide, arm's length
transactions).  If at any time such security is not listed on any domestic
securities exchange or quoted in the NASDAQ System or the domestic over-the-
counter market, the "Fair Market Value" of such security shall be the fair
market value thereof as determined in accordance with the Appraisal Procedure,
using any appropriate valuation method, assuming an arms-length sale to an
independent party.  In determining the fair market value of any class or series
of Common Stock, a sale of all of the issued and outstanding Common Stock will
be assumed, without giving regard to the lack of liquidity of such stock due to
any restrictions (contractual or otherwise) applicable thereto or any discount
for minority interests and assuming the conversion or exchange of all securities
then outstanding that are convertible into or exchangeable for Common Stock and
the exercise of all rights and warrants then outstanding and exercisable to
purchase shares of such stock or securities convertible into or exchangeable for
shares of such stock; provided, however that such
                      --------  -------

                                     -15-
<PAGE>

assumption will not include those securities, rights and warrants convertible
into Common Stock where the conversion, exchange or exercise price per share is
greater than the fair market value; provided, further, however, that fair market
                                    --------  -------  -------
value shall be determined with regard to the relative priority of each class or
series of Common Stock (if more than one class or series exists.) "Fair Market
Value" means with respect to property other than securities, the "fair market
value" determined in accordance with the Appraisal Procedure.

          "GAAP" means generally accepted accounting principles set forth in the
           ----
opinions and pronouncements of the Accounting Principles Board of the American
Institute of Certified Public Accountants and statements and pronouncements of
the Financial Accounting Standards Board, which are in effect from time to time.

          "Twenty Day Average" means, with respect to any prices and in
           ------------------
connection with the calculation of Fair Market Value, the average of such prices
over the twenty Business Days ending on the Business Day immediately prior to
the day as of which "Fair Market Value" is being determined.

          Section 9.  Preemptive Rights.  Holders of shares of Series B
                      -----------------
Preferred Stock will have the right to purchase their pro rata portions of any
future private placements by the Company of equity or equity-linked securities,
other than (i) securities issued pursuant to the exercise of options or warrants
currently outstanding, options awarded to employees or directors of the Company
after the date hereof pursuant to currently existing employee incentive plans,
and options hereinafter issued under new employee incentive plans approved by
the Board of Directors and by the Apollo Stockholders and (ii) securities issued
as consideration in acquisitions by the Company.

          Section 10. Limitations.  In addition to any other rights provided by
                      -----------
applicable law, so long as any shares of Series B Preferred Stock are
outstanding, the Company shall not, without the affirmative vote, or the written
consent as provided by law, of the Requisite Holders, at a vote of the holders
of Series B Preferred Stock, voting separately as a class,

               (a) create, authorize or issue any class, series or shares of
          Preferred Stock (other than Additional Securities issued pursuant to
          Section 2(b) hereof and Series B Preferred Stock issued as dividends)
          or any other class of capital stock ranking either as to payment of
          dividends or distribution of assets upon liquidation (i) prior to the
          Series B Preferred Stock, or (ii) on a parity with the Series B
          Preferred Stock, or (iii) junior to the Series B Preferred Stock, if
          such junior securities may be redeemed, in any circumstance, on or
          prior to the Redemption Date; or

               (b) change the preferences, rights or powers with respect to the
          Series B Preferred Stock so as to affect the Series B Preferred Stock
          adversely.

                                     -16-
<PAGE>

          Section  11. Dividend Received Deduction.  For federal income tax
                       ---------------------------
purposes, the Company shall report distributions on the Series B Preferred Stock
as dividends, to the extent of the Company's current and accumulated earnings
and profits (as determined for federal income tax purposes).

                                     -17-
<PAGE>

          IN WITNESS WHEREOF, the Company has caused this Certificate of
Designation to be signed by __________________, its _________, and attested by
________________, its Secretary, this ____ day of __________, 1999.



                                    By:_________________________________
                                         Name:
                                         Title:

Attested:


By:_________________________
     Secretary

                                     -18-

<PAGE>
                                                                       EXHIBIT 5
                      LIMITED LIABILITY COMPANY AGREEMENT

                                       OF

                                AIF IV/RRRR LLC


          This Limited Liability Company Agreement (the "Agreement") of AIF
IV/RRRR LLC, is entered into by the persons named as Members on Annex A hereto
(the "Members") and the Manager (as defined herein) as of June 3, 1999.

          WHEREAS, the Members hereby desire to form a limited liability company
under the Delaware Limited Liability Company Act (6 Del. C. (S)18-101, et seq.),
as amended from time to time (the "Act"), pursuant to this Agreement and the
Certificate of Formation which is being filed with the Secretary of State of the
State of Delaware in connection with the execution of this Agreement; and

          WHEREAS, the Members desire to form this limited liability company for
the purpose of holding certain securities in Rare Medium Group, Inc. (the
"Company") and the parties hereto hereby acknowledge that the limited liability
company formed hereby is acquiring and holding certain securities in the
Company, as set forth on Annex B hereto (the "Securities") on the same basis and
subject to the same terms, conditions and restrictions, whether contractual or
legal, as those terms, conditions and restrictions applicable to the Apollo
Funds (as defined herein);

          NOW THEREFORE, the parties hereto hereby agree as follows:

          1.    Name. (a) The name of the limited liability company is AIF
     IV/RRRR LLC (the "LLC"). The business of the LLC may be conducted
     under any other name deemed necessary or desirable by the Manager.

         (b)    The Members hereby agree to form the LLC as a limited liability
     company pursuant to the provisions of the Act and of this Agreement.
     The rights, duties and liabilities of the Members and the Manager
     shall be as provided in the Act for members and managers except as
     provided herein.

          2.    Purpose. The LLC is formed for the principal purpose of engaging
in acquiring, holding, protecting and disposing of the Securities, and
distributions and proceeds thereon and engaging in any and all activities
necessary or incidental to the foregoing.

          3.    Registered Office; Registered Agent. The address of the
registered office of the LLC in the State of Delaware is c/o The Corporation
Trust Company, 1209 Orange Street, Wilmington, New Castle
<PAGE>

             County, Delaware 19801. The name and address of the registered
             agent of the LLC for service of process on the LLC in the State of
             Delaware is The Corporation Trust Company, 1209 Orange Street,
             Wilmington, Delaware 19801.

          4.    Principal Office. The principal office address of the LLC should
             be c/o Apollo Management IV, L.P., 2 Manhattanville Road, Purchase,
             NY 10577, or such other place as the Members may determine from
             time to time.

          5.    Members. The name and the mailing address of each Member is as
             set forth in Annex A hereto. Each Member is hereby admitted as a
             member of the LLC and agrees to be bound by the terms of this
             Agreement.

          6.    Authorized Persons; Power of Attorney. (a) Each of John J.
             Hannan, Michael D. Weiner, Andrew D. Africk, Michelle Hsu and
             Anthony Tortorelli is hereby designated as an authorized person,
             within the meaning of the Act, to execute, deliver and file the
             Certificate of Formation of the LLC (and any amendments and/or
             restatements thereof) and any other certificates (and any
             amendments and/or restatements thereof) necessary for the LLC to
             qualify to do business in any jurisdiction in which the LLC may
             wish to conduct business.

             (b) Each Member does hereby constitute and appoint the Manager
          as the true and lawful representative and attorney-in-fact of such
          Member, in the name, place and stead of such Member, with full power
          of substitution, to make, execute, sign and file the Certificate, any
          amendment thereof, any amendments to this Agreement made in accordance
          with Section 21 and such other instruments, documents and certificates
          which may from time to time be required by the laws of the United
          States of America, the State of Delaware or any other state or country
          in which the LLC shall determine to do business or any political
          subdivision or agency thereof, to effectuate, implement and continue
          the valid and subsisting existence or qualification to do business of
          the LLC or in connection with any tax returns, filings or related
          matters.

          7.    Management. (a) The management of the LLC shall be vested
             exclusively in one or more managers. The Members, in such capacity,
             shall have no part in the management of the LLC and shall have no
             authority to or right to act on behalf of or bind the LLC in
             connection with any matter, nor have any further voting rights
             except as to certain matters as deemed necessary or appropriate by
             the Manager. The Members hereby irrevocably appoint Apollo
             Management IV, L.P., a Delaware limited partnership, as the manager
             of the LLC (the "Manager") and the Manager hereby accepts such
             appointment and agrees to be bound by the provisions of this
             Agreement. To the extent permitted by law, the Manager shall be
<PAGE>

             authorized to act on behalf of and to bind the LLC in all respects,
             without any further consent, vote or approval of the Members, and
             the Manager's powers shall include, without limitation, the
             authority to negotiate, complete, execute and deliver any and all
             agreements, deeds, instruments, receipts, certificates and other
             documents on behalf of the LLC, and to take all such other actions
             on behalf of the LLC as the Manager may consider necessary or
             advisable in connection with the management of the LLC.

             (b)  Any Manager appointed pursuant to Section 7(a) may resign at
             any time upon written notice to the Members, provided, that prior
                                                          --------
             to the effectiveness of any such resignation, the Manager shall
             provide for the substitution of a new manager that is reasonably
             acceptable to the Members, or for the liquidation of the LLC.

             (c) The Members agree that all determinations, decisions and
             actions made or taken by the Manager in accordance with this
             Agreement shall be conclusive and absolutely binding upon the LLC,
             the Members and their respective successors, assigns and personal
             representatives.

             (d) Persons dealing with the LLC are entitled to rely
             conclusively upon the power and authority of the Manager as herein
             set forth.

             (e) The Manager and Members hereby acknowledge that certain
             entities managed by the Manager and its affiliates, including
             Apollo Investment Fund IV, L.P. and Apollo Overseas Partners IV,
             L.P. (collectively the "Apollo Funds") also hold interests in the
             Securities. The Manager hereby agrees that whenever the Manager
             makes any disposition or transfer or takes any other action (a
             "Transaction") with respect to the Securities held by the Apollo
             Funds, the LLC will participate in any such Transaction on a pro
             rata basis in accordance with the aggregate amount invested by each
             of the Apollo Funds and the LLC in the Securities.

          8. Capital Contributions. The Members have made or will make a
             contribution to the capital of the LLC in the amounts set forth on
             a schedule maintained by the Manager. The Members shall have no
             obligation to make any additional capital contributions to the LLC.
             The Manager may, but is not required to, contribute capital to the
             LLC. The LLC may, from time to time, participate with the Apollo
             Funds in certain co-investment opportunities respecting the
             Company's securities and/or follow-on investment opportunities in
             which the Company participates. Such co-investment opportunities,
             if any, will be subject to, among other things, the contribution by
             Members of additional capital to the LLC. In that regard, the
             Members acknowledge and understand that in the event such
             additional capital is not made available to the LLC, the LLC may be
<PAGE>

             precluded from participating with the Apollo Funds in any such
             additional investment opportunity.

          9.    Additional Contributions. The Members, with the consent of the
             Manager, may make such additional capital contributions to the LLC
             as the Members in their discretion may deem necessary or advisable
             in connection with the business of the LLC.

          10.   Capital Accounts. The LLC shall maintain for each Member a
             capital account in accordance with this Section 10 and in
             accordance with the rules of Treasury Regulation Section 1.704-
             1(b)(2)(iv). The Member's capital account shall have an initial
             balance equal to the amount of cash constituting the Member's
             initial contribution to the capital of the LLC. The Member's
             capital account shall be increased by the same of (a) the amount of
             cash constituting additional contributions by the Members to the
             capital of the LLC, plus (b) any profits allocated to the Member's
             capital account pursuant to Section 11. The Member's capital
             account shall be reduced by the sum of (a) the amount of cash and
             the fair value of any property distributed by the LLC to the
             Members, plus (b) any losses allocated to the Member's capital
             account pursuant to Section 11.

          11.   Allocations. The LLC's profits and losses shall be allocated to
             the Members pro rata in accordance with their relative capital
             account balances as established by Section 10 hereof, taking into
             account any variation between the adjusted tax basis and book value
             of the LLC's property in accordance with the principles of Section
             704(c) of the Internal Revenue Code (the "Code") (and Treasury
             Regulation (S)1.704(b)(2)(iv)(f)).

          12.   Distributions. (a) The Members shall not (i) be entitled to
             interest on their capital contributions to the LLC or (ii) have the
             right to distributions or the return of any contribution to the
             capital of the LLC except (A) for distributions in accordance with
             this Section 12 or (B) upon dissolution of the LLC. The entitlement
             to any such return at such time shall be limited to the value of
             the capital account of the Member. To the fullest extent permitted
             by the Act, the Members shall not be liable for the return of any
             such amounts. The Company shall not make a distribution to a Member
             if such distribution would violate Section 18-607 of the Act.

             (b) Distributions shall be made to the Members at the times and
             in the aggregate amounts determined by the Manager. The Manager
             hereby agrees that, to the extent considered feasible by the
             Manager, any distributions made to the Members by the Manager with
             respect to Transactions involving the Securities shall be made on
             the same terms as those distributions made to the Apollo Funds with
             respect to Transactions involving the Securities.
<PAGE>

     (c)     If the LLC incurs a withholding tax or other tax obligation with
          respect to the share of LLC income allocable to any Member, then the
          Manager, without limitation of any other rights of the LLC, may cause
          the amount of such obligation to be offset against any amounts then
          distributable to such Member. Any amount offset pursuant to the
          preceding sentence shall be treated, for purposes of Section 12(b) and
          17, as having been distributed to the affected Member. If the amount
          of such taxes is greater than any such then distributable amounts,
          then such Member and any successor to such Member's interest shall
          indemnify and hold harmless the LLC and the Manager against, and shall
          reimburse the LLC within 10 days after the demand of the Manager, the
          amount of such excess.

          13.   Fiscal Year. The Fiscal Year of the LLC for accounting and tax
             purposes shall begin on January 1 and end on December 31 of each
             year, except for the short taxable years in the years of the LLC's
             formation and termination and as otherwise required by the Code.

          14.   Assignments and Transfers of Interests. (a) A Member may not
             transfer, dispose, withdraw or otherwise pledge any portion of its
             interest in the LLC to any person at any time without the prior
             written consent of the Manager, which consent shall not be
             unreasonably withheld or delayed.

     (b)  A permitted transferee shall be entitled to the allocations and
distributions attributable to the interest in the LLC transferred to such
transferee and to transfer such interest in accordance with the term of this
Agreement; provided, however, that such transferee shall not be entitled to the
other rights of a Member as a result of such transfer until it becomes a
substituted Member.  No transferee may become a substituted Member except with
the consent of the Manager (which consent may be withheld in its sole and
absolute discretion).  Such transferee shall be admitted to the LLC as a
substituted Member upon execution of a counterpart of this Agreement or such
other instrument evidencing, to the satisfaction of the Manager, such Member's
intent to become a Member.  Notwithstanding the above, the LLC and the Manager
shall incur no liability for allocations and distributions made in good faith to
the transferring Member until a written instrument of transfer has been received
and accepted by the LLC and recorded on its books and the effective date of the
Transfer has passed.

          15.   Admissions of Additional Members. The Manager may at any time
             cause the LLC to admit additional Members in its discretion;
             provided, however, that no such admission shall result in the
             diminution of any existing Member's participation percentage or
             capital account without such existing Member's consent. An
             additional Member shall be deemed admitted as a Member upon the
             execution by such Member of this Agreement or any other instrument
             manifesting, to the satisfaction of the Manager, such additional
             Member's intent to become a Member. Upon admission, such additional
             Member shall be bound by all provisions of this Agreement. The
             Schedule of Members shall be subsequently amended to reflect the
             admission of any new Member.
<PAGE>

          16.   Liability of Members A Member shall not have any liability for
             the obligations or liabilities of the LLC except to the extent
             provided in the Act.

          17.   Dissolution. (a) Subject to the occurrence of an event of
             dissolution pursuant to Section 17(b), the LLC shall have perpetual
             existence.

     (b)     The Company shall dissolve, and its affairs shall be wound up upon
          the first to occur of the following: (i) the written consent of the
          Manager, (ii) the entry of a decree of judicial dissolution under
          Section 18-802 of the Act or (iii) 90 days after the occurrence of any
          of the following events: the death, insanity, retirement, resignation,
          expulsion, or bankruptcy of the Manager or the occurrence of any other
          event which terminates the continued status of the Manager as such
          under the Act unless, within 90 days of the occurrence of such event,
          a majority of the Members consent to continue the business of the LLC
          in accordance with this Agreement and in the event of such
          continuation, the LLC shall not be dissolved.

          18.   Indemnification. To the fullest extent permitted by law, the LLC
             shall (a) indemnify any person or such person's heirs,
             distributees, next of kin, successors, appointees, executors,
             administrators, legal representatives or assigns 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 such person is or was a member, manager, director, officer,
             authorized person, employee or agent of the LLC or is or was
             serving at the request of the LLC or its members as a member,
             manager, director, officer, authorized person, employee or agent of
             another corporation, limited liability company, partnership, joint
             venture, trust or other enterprise, domestic or foreign, against
             expenses, attorneys' fees, court costs, judgments, fines, amounts
             paid in settlement and other losses actually and reasonably
             incurred by such person in connection with such action, suit or
             proceedings and (b) advance expenses incurred by a member, manager,
             officer, authorized person or director in defending such civil or
             criminal action, suit or proceeding to the full extent authorized
             or permitted by the laws of the State of Delaware. A manager shall
             have no personal liability to the LLC or its members for monetary
             damages for breach of fiduciary duty as a manager; provided,
             however, that the foregoing provision shall not eliminate the
             liability of a manager for acts or omissions not in good faith or
             which involve intentional misconduct or a knowing violation of law
             or for any transaction from which the manager derived an improper
             personal benefit.

          19.   Information. (a) To the extent the Manager receives financial
             reports or other information from the Company, pursuant to Section
             7.3 of
<PAGE>

             the Securities Purchase Agreement among the LLC, the Apollo Funds,
             the Company and certain other parties thereto, dated as of May 7,
             1999, as amended and restated, the Manager shall furnish any Member
             with such information at the Member's request.

     a.      Each Member hereby agrees to maintain the confidentiality of  any
          confidential and proprietary information regarding the Company and its
          subsidiaries; provided, however, that the foregoing shall in no way
                        --------  -------
          limit or otherwise restrict the ability of such Member or any of its
          representatives to disclose any such information concerning the
          Company and each Subsidiary which it may be required to disclose (i)
          to its partners to the extent required to satisfy its fiduciary
          obligations to such persons, or (ii) otherwise pursuant to or as
          required by law.  Each member acknowledges that the U.S. securities
          laws restrict any person who has material non-public information about
          a company from purchasing or selling securities of such company or
          from communicating such information to any other person under
          circumstances in which it is reasonably foreseeable that such person
          is likely to purchase or sell such securities.

          (c)   A member and its duly authorized representatives may, for any
reason reasonably related to its interest as a Member of the LLC, examine the
LLC's books of account and make copies and extracts therefrom at its own
expense.  The Manager shall maintain the records of the LLC for three years
following the termination of the LLC.  The Manager shall be permitted to keep
information confidential from the Members pursuant to 18-305(c) of the Act.

          20.   Acknowledgments by Members. Each Member hereby acknowledges and
             agrees that (i) his interest in the LLC and his underlying interest
             in the Securities represent an illiquid investment, (ii) he does
             not hold nor is he entitled to hold any voting, dispositive or
             investment determination rights with respect to the Securities, and
             that such rights are vested exclusively in the Manager, (iii) the
             Manager has sole and exclusive voting, dispositive and investment
             determination rights over the Securities held by the LLC and (iv)
             his appointment of the Manager as the "manager" of the LLC made
             herein is irrevocable except that the Manager may be removed by the
             Members for "cause."

For purposes of this agreement "cause" as it relates to the removal of the
Manager shall mean that such Manager has been found by a court of competent
jurisdiction to have committed any act (or to have failed to take any action)
which  constitutes a material breach by the Manager of its obligations to the
LLC under this Agreement resulting in material financial harm to the LLC or
which constitutes fraud, gross negligence or willful malfeasance resulting in
material financial harm to the LLC.

          21.   Amendments. Amendments to this Agreement may be made from time
             to time by the Manager without the consent of the Members;
             provided, however, that without the consent of each Member affected
             --------  -------

<PAGE>

             thereby, no such amendment shall require any Member to make
             additional capital contributions without its consent, or permit the
             admission of additional Members or increase the liability, or
             reduce the interest, of any Member hereunder.

          22.   Agreement Binding Upon Successors and Assigns.  This Agreement
             shall be binding and inure to the benefit of the Members hereto and
             to their respective successors, but the rights and obligations of
             the Members hereunder shall not be assignable, transferable or
             delegable except as expressly provided herein, and any attempted
             assignment, transfer or delegation thereof which is not made in
             accordance with such express provisions shall be void.

          23.   Not for Benefit of Creditors. The provisions of this Agreement
             are intended only for the regulation of relations among Members and
             between Members and former or prospective Members and the LLC. This
             Agreement is not intended for the benefit of non-Member creditors
             and no rights are granted to non-Member creditors under this
             Agreement.

          24.   Counterparts. This Agreement may be executed in any number of
             counterparts and by different parties to this Agreement in separate
             counterparts, each of which when so executed shall be deemed to be
             an original and all of which taken together shall constitute one
             and the same Agreement.

          25.   Governing Law. This Agreement shall be governed by, and
             construed under, the laws of the State of Delaware, all rights and
             remedies being governed by said laws. The Members intend the
             provisions of the Act to be controlling as to any matters not set
             forth in this Agreement.
<PAGE>

          IN WITNESS WHEREOF, the undersigned, intending to be legally bound
hereby, have duly executed this Limited Liability Company Agreement as of the
day first above written.


                                    Manager:

                                    APOLLO MANAGEMENT IV, L.P.

                                    By:  AIF IV Management, Inc.
                                         its General Partner

                                    By:  __________________________
                                         Name:     Michael D. Weiner
                                         Title:    Vice President

                                    Members:

Each of the persons hereafter admitted to the LLC as Members, as of the date
hereof as set forth in the Schedule of Members, pursuant to the powers of
attorney executed by such persons in favor of, and delivered to, the
undersigned.

                                    By:  Apollo Management IV, L.P.,
                                         Attorney-in-Fact

                                    By:  __________________________
                                         Michael D. Weiner
                                         Vice President


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