EXHIBIT 99.2

                                    WARRANT

          THE SECURITIES (THE "SECURITIES") EVIDENCED HEREBY HAVE NOT BEEN
REGISTERED UNDER THE SECURITIES ACT OF 1933, AS AMENDED (THE "SECURITIES ACT"),
AND, ACCORDINGLY, MAY NOT BE OFFERED OR SOLD EXCEPT AS SET FORTH IN THE
FOLLOWING SENTENCE.  BY ITS ACQUISITION HEREOF, THE HOLDER AGREES THAT IT WILL
NOT OFFER, RESELL, PLEDGE OR OTHERWISE TRANSFER (INDIVIDUALLY AND COLLECTIVELY,
A "TRANSFER") THE SECURITIES EVIDENCED HEREBY, EXCEPT (A) PURSUANT TO AN
EFFECTIVE REGISTRATION STATEMENT UNDER THE SECURITIES ACT, OR (B) PURSUANT TO AN
EXEMPTION FROM REGISTRATION UNDER THE SECURITIES ACT.  IF THE PROPOSED TRANSFER
IS TO BE MADE OTHER THAN PURSUANT TO CLAUSE (A) ABOVE, THE HOLDER MUST, PRIOR TO
SUCH TRANSFER, FURNISH TO THE COMPANY AND THE TRANSFER AGENT SUCH
CERTIFICATIONS, LEGAL OPINIONS OR OTHER INFORMATION AS THEY MAY REASONABLY
REQUIRE TO CONFIRM THAT SUCH TRANSFER IS BEING MADE PURSUANT TO AN EXEMPTION
FROM, OR IN A TRANSACTION NOT SUBJECT TO, THE REGISTRATION REQUIREMENTS OF THE
SECURITIES ACT OR ANY STATE OR FOREIGN SECURITIES LAW.

                               FOUR MEDIA COMPANY

                         Common Stock Purchase Warrant

          FOUR MEDIA COMPANY, a Delaware corporation (the "Company"), hereby
certifies that, for value received, Warburg, Pincus & Co., as nominee, a
Delaware limited partnership (the "Holder"), or permitted assigns, is entitled,
subject to the terms set forth below, to purchase from the Company, at any time
and from time to time during the period beginning on April 8, 1999 and ending
on April 7, 2006, in whole or in part, an aggregate of one million one hundred
thousand (1,100,000) fully paid and non-assessable shares of the Common Stock,
$.01 par value per share, of the Company at a purchase price, subject to the
provisions of Paragraph 3 hereof, of $15.00 per share (the "Purchase Price").
The Purchase Price and the number and character of such shares are subject to
adjustment as provided below, and the term "Common Stock" shall mean, unless the
context otherwise requires, the stock or other securities or property at the
time deliverable upon the exercise of this Warrant.  This Warrant is herein
called the "Warrant."

     1. EXERCISE OF WARRANT. The purchase rights evidenced by this Warrant shall
be exercised by the holder surrendering this Warrant, with the form of
subscription at the end hereof duly executed by such holder, to the Company at
its principal office, accompanied by payment of an amount (the "Exercise
Payment") equal to the Purchase Price multiplied by the number of shares being
purchased pursuant to such exercise, payable as follows: (i) by payment to the
Company in cash, by certified or official bank check, or by wire transfer of the
Exercise Amount, (ii) by surrender to the Company for cancellation of securities
of the Company having a Market Price 

 
(as hereinafter defined) on the date of exercise equal to the Exercise Amount;
or (c) by a combination of the methods described in clauses (a) and (b) above.
In lieu of exercising the Warrant, the holder may elect to receive a payment
equal to the difference between (i) the Market Price multiplied by the number of
shares as to which the payment is then being elected and (ii) the exercise price
with respect to such shares, payable by the Company to the Holder only in shares
of Common Stock valued at the Market Price on the date of exercise. For purposes
hereof, the term "Market Price" shall mean the average closing price of a share
of Common Stock for the 15 consecutive trading days preceding such day on the
principal national securities exchange on which the shares of Common Stock or
securities are listed or admitted to trading or, if not listed or admitted to
trading on any national securities exchange, the average of the reported bid and
asked prices during such 15 trading day period in the over-the-counter market as
furnished by the National Quotation Bureau, Inc., or, if such firm is not then
engaged in the business of reporting such prices, as furnished by any member of
the National Association of Securities Dealers, Inc. selected by the Company or,
if the shares of Common Stock or securities are not publicly traded, the Market
Price for such day shall be the fair market value thereof determined jointly in
good faith by the Board of Directors of the Company and the holder of this
Warrant; provided, however, that if such parties are unable to reach agreement
within a reasonable period of time, the Market Price shall be determined in good
faith by the independent investment banking firm selected jointly by the Company
and the holder of this Warrant or, if that selection cannot be made within 15
days, by an independent investment banking firm selected by the American
Arbitration Association in accordance with its rules.

     1.1 Partial Exercise. This Warrant may be exercised for less than the full
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number of shares of Common Stock, in which case the number of shares receivable
upon the exercise of this Warrant as a whole, and the sum payable upon the
exercise of this Warrant as a whole, shall be proportionately reduced. Upon any
such partial exercise, the Company at its expense will forthwith issue to the
holder hereof a new Warrant or Warrants of like tenor calling for the number of
shares of Common Stock as to which rights have not been exercised, such Warrant
or Warrants to be issued in the name of the holder hereof or his nominee (upon
payment by such holder of any applicable transfer taxes).

     2. DELIVERY OF STOCK CERTIFICATES ON EXERCISE. Subject to compliance with
applicable law and exchange or Nasdaq National Market requirements, as
applicable, as soon as practicable after the exercise of this Warrant and
payment of the Exercise Payment, and in any event within ten (10) days
thereafter, the Company, at its expense, will cause to be issued in the name of
and delivered to the holder hereof a certificate or certificates for the number
of fully paid and non-assessable shares or other securities or property to which
such holder shall 

                                      -2-

 
be entitled upon such exercise, plus, in lieu of any fractional share to which
such holder would otherwise be entitled, cash in an amount determined in
accordance with Paragraph 3.9 hereof. The Company agrees that the shares so
purchased shall be deemed to be issued to the holder hereof as the record owner
of such shares as of the close of business on the date on which this Warrant
shall have been duly exercised, surrendered and payment made for such shares as
aforesaid.

     3.  ANTI-DILUTION PROVISIONS AND OTHER ADJUSTMENTS.  In order to prevent
dilution of the right granted hereunder, the Purchase Price shall be subject to
adjustment from time to time in accordance with this Paragraph 3.  Upon each
adjustment of the Purchase Price pursuant to this Paragraph 3, the registered
Holder of this Warrant shall thereafter be entitled to acquire upon exercise, at
the Purchase Price resulting from such adjustment, the number of shares of the
Company's Common Stock obtainable by multiplying the Purchase Price in effect
immediately prior to such adjustment by the number of shares of the Company's
Common Stock acquirable immediately prior to such adjustment and dividing the
product thereof by the Purchase Price resulting from such adjustment.

     3.1 Adjustment for Issue or Sale of Common Stock at Less than Market Price.
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Except as provided in Paragraph 3.2 or 3.5 below, if and whenever on or after
the date of issuance hereof the Company shall issue or sell, or shall in
accordance with subparagraphs 3.1(1) to (9), inclusive, be deemed to have issued
or sold, any shares of its Common Stock for a consideration per share less than
the Market Price per share on the date the Company fixes the issuance or sales
price (or shall have been deemed to have fixed the issuance or sales price) of
the subject shares of Common Stock, then forthwith upon such issue or sale (the
"Triggering Transaction"), the Purchase Price shall, subject to subparagraphs
(1) to (9) of this Paragraph 3.1, be reduced to the Purchase Price (calculated
to the nearest tenth of a cent) determined by dividing:

          (i) an amount equal to the sum of (x) the product derived by
     multiplying the Number of Common Shares Deemed Outstanding immediately
     prior to such Triggering Transaction by the Purchase Price then in effect,
     plus (y) the consideration, if any, received by the Company upon
     consummation of such Triggering Transaction, by

          (ii) an amount equal to the sum of (x) the Number of Common Shares
     Deemed Outstanding immediately prior to such Triggering Transaction plus
     (y) the number of shares of Common Stock issued (or deemed to be issued in
     accordance with subparagraphs 3.1(1) to (9)) in connection with the
     Triggering Transaction.

                                      -3-

 
          For purposes of this Paragraph 3, the term "Number of Common Shares
Deemed Outstanding" at any given time shall mean the sum of (i) the number of
shares of the Company's Common Stock outstanding at such time, and (ii) the
number of shares of the Company's Common Stock deemed to be outstanding under
subparagraphs 3.1(1) to (9), inclusive, at such time.

          For purposes of determining the adjusted Purchase Price under this
Paragraph 3.1, the following subsections (1) to (9), inclusive, shall be
applicable:

          (1) In case the Company at any time shall in any manner grant (whether
     directly or by assumption in a merger or otherwise) any rights to subscribe
     for or to purchase, or any options for the purchase of, Common Stock or any
     stock or other securities convertible into or exchangeable for Common Stock
     (such rights or options being herein called "Options" and such convertible
     or exchangeable stock or securities being herein called "Convertible
     Securities"), whether or not such Options or the right to convert or
     exchange any such Convertible Securities are immediately exercisable, and
     the price per share for which the Common Stock is issuable upon exercise,
     conversion or exchange (determined by dividing (x) the total amount, if
     any, received or receivable by the Company as consideration for the
     granting of such Options, plus the minimum aggregate amount of additional
     consideration payable to the Company upon the exercise of all such Options,
     plus, in the case of such Options which relate to Convertible Securities,
     the minimum aggregate amount of additional consideration, if any, payable
     upon the issue or sale of such Convertible Securities and upon the
     conversion or exchange thereof, by (y) the total maximum number of shares
     of Common Stock issuable upon the exercise of such Options or the
     conversion or exchange of such Convertible Securities) shall be less than
     the Market Price per share on the date the Company fixes the issuance or
     sales price (or shall have been deemed to have fixed the issuance or sales
     price) of the subject shares of Common Stock, then the total number of
     shares of Common Stock issuable upon the exercise of such Options, or, in
     the case of Options for Convertible Securities, upon the conversion or
     exchange of such Convertible Securities, shall (as of the date of granting
     of such Options) be deemed to be outstanding and to have been issued and
     sold by the Company for such price per share. No adjustment of the Purchase
     Price shall be made upon the actual issue of such shares of Common Stock or
     such Convertible Securities upon the exercise of such Options, except as
     otherwise provided in subparagraph (3) below.

                                      -4-

 
          (2) In case the Company at any time shall in any manner issue (whether
     directly or by assumption in a merger or otherwise) or sell any Convertible
     Securities, whether or not the rights to exchange or convert thereunder are
     immediately exercisable, and the price per share for which Common Stock is
     issuable upon such conversion or exchange (determined by dividing (x) the
     total amount received or receivable by the Company as consideration for the
     issue or sale of such Convertible Securities, plus the minimum aggregate
     amount of additional consideration, if any, payable to the Company upon the
     conversion or exchange thereof, by (y) the total maximum number of shares
     of Common Stock issuable upon the conversion or exchange of all such
     Convertible Securities) shall be less than the Market Price per share on
     the date the Company fixes the issuance or sales price (or shall have been
     deemed to have fixed the issuance or sales price) of the subject shares of
     Common Stock, then the total maximum number of shares of Common Stock
     issuable upon conversion or exchange of all such Convertible Securities
     shall (as of the date of the issue or sale of such Convertible Securities)
     be deemed to be outstanding and to have been issued and sold by the Company
     for such price per share. No adjustment of the Purchase Price shall be made
     upon the actual issue of such Common Stock upon the exchange or conversion
     of such Convertible Securities, except as otherwise provided in
     subparagraph (3) below.

          (3)  If the purchase price provided for in any Options referred to in
     subparagraph (1), the additional consideration, if any, payable upon the
     conversion or exchange of any Convertible Securities referred to in
     subparagraphs (1) or (2), or the rate at which any Convertible Securities
     referred to in subparagraph (1) or (2) are convertible into or exchangeable
     for Common Stock shall change at any time (other than under or by reason of
     provisions designed to protect against dilution of the type set forth in
     Paragraph 3.1 or 3.3), the Purchase Price in effect at the time of such
     change shall forthwith be readjusted to the Purchase Price which would have
     been in effect at such time had such Options or Convertible Securities
     still outstanding provided for such changed purchase price, additional
     consideration or conversion rate, as the case may be, at the time initially
     granted, issued or sold.  If the purchase price provided for in any Option
     referred to in subparagraph (1) or the rate at which any Convertible
     Securities referred to in subparagraphs (1) or (2) are convertible into or
     exchangeable for Common Stock, shall be reduced at any time under or by
     reason of provisions with respect thereto designed to 

                                      -5-

 
     protect against dilution, then in case of the delivery of Common Stock upon
     the exercise of any such Option or upon conversion or exchange of any such
     Convertible Security, the Purchase Price then in effect hereunder shall
     forthwith be adjusted to such respective amount as would have been obtained
     had such Option or Convertible Security never been issued as to such Common
     Stock and had adjustments been made upon the issuance of the shares of
     Common Stock delivered as aforesaid, but only if as a result of such
     adjustment the Purchase Price then in effect hereunder is hereby reduced.

          (4) On the expiration or termination of any Option or the expiration
     or termination of any right to convert or exchange any Convertible
     Securities, the Purchase Price then in effect hereunder shall forthwith be
     increased to the Purchase Price which would have been in effect at the time
     of such expiration or termination had such Option or Convertible
     Securities, to the extent outstanding immediately prior to such expiration
     or termination, never been issued.

          (5) In case any Options shall be issued in connection with the issue
     or sale of other securities of the Company, together comprising one
     integral transaction in which no specific consideration is allocated to
     such Options by the parties thereto, such Options shall be deemed to have
     been issued without consideration.

          (6) In case any shares of Common Stock, Options or Convertible
     Securities shall be issued or sold or deemed to have been issued or sold
     for cash, the consideration received therefor shall be deemed to be the
     amount received by the Company therefor. In case any shares of Common
     Stock, Options or Convertible Securities shall be issued or sold for a
     consideration other than cash, the amount of the consideration other than
     cash received by the Company shall be the fair value of such consideration
     as determined in good faith by the Board of Directors of the Company. In
     case any shares of Common Stock, Options or Convertible Securities shall be
     issued in connection with any merger in which the Company is the surviving
     corporation, the amount of consideration therefor shall be deemed to be the
     fair value of such portion of the net assets and business of the non-
     surviving corporation as shall be attributed by the Board of Directors of
     the Company in good faith to such Common Stock, Options or Convertible
     Securities, as the case may be.

                                      -6-

 
          (7) The number of shares of Common Stock outstanding at any given time
     shall not include shares owned or held by or for the account of the
     Company, and the disposition of any shares so owned or held shall be
     considered an issue or sale of Common Stock for the purpose of this
     Paragraph 3.1.

          (8) In case the Company shall declare a dividend or make any other
     distribution upon the stock of the Company payable in Options or
     Convertible Securities, then in such case any Options or Convertible
     Securities, as the case may be, issuable in payment of such dividend or
     distribution shall be deemed to have been issued or sold without
     consideration.

          (9) For purposes of this Paragraph 3.1, in case the Company shall take
     a record of the holders of its Common Stock for the purpose of entitling
     them (x) to receive a dividend or other distribution payable in Common
     Stock, Options or in Convertible Securities, or (y) to subscribe for or
     purchase Common Stock, Options or Convertible Securities, then such record
     date shall be deemed to be the date of the issue or sale of the shares of
     Common Stock deemed to have been issued or sold upon the declaration of
     such dividend or the making of such other distribution or the date of the
     granting of such right or subscription or purchase, as the case may be.

     3.2 Dividends Not Paid Out of Earnings or Earned Surplus. In the event the
         ----------------------------------------------------                   
Company shall declare a dividend upon the Common Stock (other than a dividend
payable in Common Stock) payable otherwise than out of earnings or earned
surplus, determined in accordance with generally accepted accounting principles,
including the making of appropriate deductions for minority interests, if any,
in subsidiaries (herein referred to as "Liquidating Dividends"), then, as soon
as possible after the exercise of this Warrant, the Company shall pay to the
person exercising such Warrant an amount equal to the aggregate value at the
time of such exercise of all Liquidating Dividends (including but not limited to
the Common Stock which would have been issued at the time of such earlier
exercise and all other securities which would have been issued with respect to
such Common Stock by reason of stock splits, stock dividends, mergers or
reorganizations, or for any other reason). For the purposes of this Paragraph
3.2, a dividend other than in cash shall be considered payable out of earnings
or earned surplus only to the extent that such earnings or earned surplus are
charged an amount equal to the fair value of such dividend as determined in good
faith by the Board of Directors of the Company.

     3.3 Subdivisions and Combinations. In case the Corporation shall at any
         -----------------------------   
time (i) subdivide the outstanding 

                                      -7-

 
Common Stock or (ii) issue a stock dividend on its outstanding Common Stock, the
Purchase Price in effect immediately prior to such subdivision or dividend shall
be proportionately reduced by the same ratio as the subdivision or dividend. In
case the Corporation shall at any time combine its outstanding Common Stock, the
Purchase Price in effect immediately prior to such combination shall be
proportionately increased by the same ratio as the combination.

     3.4 Reorganization, Reclassification, Consolidation, Merger or Sale of
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Assets. If any capital reorganization or reclassification of the capital stock
- ------
of the Company, or consolidation or merger of the Company with another
corporation, or the sale of all or substantially all of its assets to another
corporation shall be effected in such a way that holders of Common Stock shall
be entitled to receive stock, securities, cash or other property with respect to
or in exchange for Common Stock, then, as a condition of such reorganization,
reclassification, consolidation, merger or sale, lawful and adequate provision
shall be made whereby the holder of this Warrant shall have the right to acquire
and receive upon exercise of this Warrant such shares of stock, securities, cash
or other property issuable or payable (as part of the reorganization,
reclassification, consolidation, merger or sale) with respect to or in exchange
for such number of outstanding shares of the Company's Common Stock as would
have been received upon exercise of this Warrant at the Purchase Price then in
effect. The Company will not effect any such consolidation, merger or sale,
unless prior to the consummation thereof the successor corporation (if other
than the Company) resulting from such consolidation or merger or the corporation
purchasing such assets shall assume by written instrument mailed or delivered to
the holder of this Warrant at the last address of such holder appearing on the
books of the Company, the obligation to deliver to such holder such shares of
stock, securities or assets as, in accordance with the foregoing provisions,
such holder may be entitled to purchase. If a purchase, tender or exchange offer
is made to and accepted by the holders of more than 50% of the outstanding
shares of Common Stock of the Company, the Company shall not effect any
consolidation, merger or sale with the person having made such offer or with any
Affiliate of such person, unless prior to the consummation of such
consolidation, merger or sale the holder of this Warrant shall have been given a
reasonable opportunity to then elect to receive upon the exercise of this
Warrant either the stock, securities or assets then issuable with respect to the
Common Stock of the Company or the stock, securities or assets, or the
equivalent, issued to previous holders of the Common Stock in accordance with
such offer. For purposes hereof the term "Affiliate" with respect to any given
person shall mean any person controlling, controlled by or under common control
with the given person.

                                      -8-

 
     3.5  No Adjustment for Exercise of Certain Options,  Warrants, Etc.  The
          -------------------------------------------------------------
provisions of this Section 3 shall not apply to any Common Stock issued,
issuable or deemed outstanding under subparagraphs 3.1(1) to (9) inclusive:  (i)
to any person pursuant to any stock option, stock purchase or similar plan or
arrangement for the benefit of employees, consultants or directors of the
Company or its subsidiaries in effect on the date of issuance hereof or (ii)
pursuant to options, warrants and conversion rights in existence on the date of
issuance hereof.

     3.6  Notices of Record Date, Etc.  In the event that:
          ---------------------------                     

          (1) the Company shall declare any cash dividend upon its Common Stock,
     or

          (2) the Company shall declare any dividend upon its Common Stock
     payable in stock or make any special dividend or other distribution to the
     holders of its Common Stock, or

          (3) the Company shall offer for subscription pro rata to the holders
     of its Common Stock any additional shares of stock of any class or other
     rights, or

          (4) there shall be any capital reorganization or reclassification of
     the capital stock of the Company, including any subdivision or combination
     of its outstanding shares of Common Stock, or consolidation or merger of
     the Company with, or sale of all or substantially all of its assets to,
     another corporation, or

          (5) there shall be a voluntary or involuntary dissolution, liquidation
     or winding up of the Company;

then, in connection with such event, the Company shall give to the holder of
this Warrant:

          (i) at least ten (10) days' prior written notice of the date on
     which the books of the Company shall close or a record shall be taken for
     such dividend, distribution or subscription rights or for determining
     rights to vote in respect of any such reorganization, reclassification,
     consolidation, merger, sale, dissolution, liquidation or winding up; and

          (ii) in the case of any such reorganization, reclassification,
     consolidation, merger, sale, dissolution, liquidation or winding up, at
     least ten (10) days' prior written notice of the date when the same shall
     take place. Such notice in accordance with the foregoing clause (i) shall
     also specify, in the case of any such dividend, distribution or
     subscription rights, the date on which the 

                                      -9-

 
     holders of Common Stock shall be entitled thereto, and such notice in
     accordance with the foregoing clause (ii) shall also specify the date on
     which the holders of Common Stock shall be entitled to exchange their
     Common Stock for securities or other property deliverable upon such
     reorganization, reclassification, consolidation, merger, sale, dissolution,
     liquidation or winding up, as the case may be. Each such written notice
     shall be given by first class mail, postage prepaid, addressed to the
     holder of this Warrant at the address of such holder as shown on the books
     of the Company.

          Failure to give any notice required by this section (or any defect in
any such notice) shall not affect the validity of the subject transaction.

     3.7 Grant, Issue or Sale of Options, Convertible Securities, or Rights. If
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at any time or from time to time on or after the date of issuance hereof, the
Company shall grant, issue or sell any Options, Convertible Securities or rights
to purchase property (the "Purchase Rights") pro rata to the record holders of
any class of Common Stock of the Company and such grants, issuances or sales do
not result in an adjustment of the Purchase Price under Paragraph 3.1 hereof,
then the holder of this Warrant shall be entitled to acquire (within thirty (30)
days after the later to occur of the initial exercise date of such Purchase
Rights or receipt by such holder of the notice concerning Purchase Rights to
which such holder shall be entitled under Paragraph 3.6) and upon the terms
applicable to such Purchase Rights either:

          (i) the aggregate Purchase Rights which such holder could have
     acquired if it had held the number of shares of Common Stock acquirable
     upon exercise of this Warrant immediately before the grant, issuance or
     sale of such Purchase Rights; provided that if any Purchase Rights were
     distributed to holders of Common Stock without the payment of additional
     consideration by such holders, corresponding Purchase Rights shall be
     distributed to the exercising holder of this Warrant as soon as possible
     after such exercise and it shall not be necessary for the exercising holder
     of this Warrant specifically to request delivery of such rights; or

          (ii) in the event that any such Purchase Rights shall have expired or
     shall expire prior to the end of said thirty (30) day period, the number of
     shares of Common Stock or the amount of property which such holder could
     have acquired upon such exercise at the time or times at which the Company
     granted, issued or sold such expired Purchase Rights.

                                      -10-

 
     3.8 Adjustment by Board of Directors. If any event occurs as to which, in
         --------------------------------  
the opinion of the Board of Directors of the Company, the provisions of this
Section 3 are not strictly applicable or if strictly applicable would not fairly
protect the rights of the holder of this Warrant in accordance with the
essential intent and principles of such provisions, then the Board of Directors
shall make an adjustment in the application of such provisions, in accordance
with such essential intent and principles, so as to protect such rights as
aforesaid, but in no event shall any adjustment have the effect of increasing
the Purchase Price as otherwise determined pursuant to any of the provisions of
this Section 3 except in the case of a combination of shares of a type
contemplated in Paragraph 3.3 and then in no event to an amount greater than the
Purchase Price as adjusted pursuant to Paragraph 3.3.

     3.9 Fractional Shares. The Company shall not issue fractions of shares of
         -----------------       
Common Stock upon exercise of this Warrant or scrip in lieu thereof. If any
fraction of a share of Common Stock would, except for the provisions of this
Paragraph 3.9, be issuable upon exercise of this Warrant, the Company shall in
lieu thereof pay to the person entitled thereto an amount in cash equal to the
current value of such fraction, calculated to the nearest one-hundredth (1/100)
of a share, to be computed based on the Market Price of the Common Stock.

     3.10 Officers' Statement as to Adjustments. Whenever the Purchase Price
          -------------------------------------
shall be adjusted as provided in Section 3 hereof, the Company shall forthwith
file at each office designated for the exercise of this Warrant, a statement,
signed by either the Chairman of the Board, the President, any Vice President or
Treasurer of the Company, showing in reasonable detail the facts requiring such
adjustment and the Purchase Price that will be effective after such adjustment.
The Company shall also cause a notice setting forth any such adjustments to be
sent by mail, first class, postage prepaid, to the record holder of this Warrant
at his or its address appearing on the stock register. If such notice relates to
an adjustment resulting from an event referred to in Paragraph 3.6, such notice
shall be included as part of the notice required to be mailed and published
under the provisions of Paragraph 3.6 hereof.

     4.  NO DILUTION OR IMPAIRMENT.  The Company will not, by amendment of its
charter or through reorganization, consolidation, merger, dissolution, sale of
assets or any other 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
action as may be necessary or appropriate in order to protect the rights of the
holder hereof against dilution or other impairment.  Without limiting the
generality of the foregoing, the Company will not increase the par value of any
shares of stock receivable upon the exercise of 

                                      -11-

 
this Warrant above the amount payable therefor upon such exercise, and at all
times will take all such action as may be necessary or appropriate in order that
the Company may validly and legally issue fully paid and non-assessable stock
upon the exercise of this Warrant.

     5. RESERVATION OF STOCK, ETC., ISSUABLE ON EXERCISE OF WARRANTS. The
Company shall at all times reserve and keep available out of its authorized but
unissued stock, solely for the issuance and delivery upon the exercise of this
Warrant and other similar Warrants, such number of its duly authorized shares of
Common Stock as from time to time shall be issuable upon the exercise of this
Warrant and all other similar Warrants at the time outstanding.

     6. REPLACEMENT OF WARRANT. Upon receipt of evidence reasonably satisfactory
to the Company of the loss, theft, destruction or mutilation of this Warrant and
(in the case of loss, theft or destruction) upon delivery of an indemnity
agreement (with surety if reasonably required) in an amount reasonably
satisfactory to it, or (in the case of mutilation) upon surrender and
cancellation thereof, the Company will issue, in lieu thereof, a new Warrant of
like tenor.

     7. REMEDIES. The Company stipulates that the remedies at law of the holder
of this Warrant in the event of any default by the Company in the performance of
or compliance with any of the terms of this Warrant are not and will not be
adequate, and that the same may be specifically enforced.

     8. NEGOTIABILITY, ETC. This Warrant is issued upon the following terms, to
all of which each taker or owner hereof consents and agrees:

     (a) Subject to the legend appearing on the first page hereof, title to this
         Warrant may be transferred by endorsement (by the holder hereof
         executing the form of assignment at the end hereof including guaranty
         of signature) and delivery in the same manner as in the case of a
         negotiable instrument transferable by endorsement and delivery.

     (b)  Any person in possession of this Warrant properly endorsed is
          authorized to represent himself as absolute owner hereof and is
          granted power to transfer absolute title hereto by endorsement and
          delivery hereof to a bona fide purchaser hereof for value; each prior
          taker or owner waives and renounces all of his equities or rights in
          this Warrant in favor of every such bona fide purchaser, and every
          such bona fide purchaser shall acquire title hereto and to all rights
          represented hereby.

                                      -12-

 
     (c)  Until this Warrant is transferred on the books of the Company, the
          Company may treat the registered holder of this Warrant as the
          absolute owner hereof for all purposes without being affected by any
          notice to the contrary.

     (d)  Prior to the exercise of this Warrant, the holder hereof shall not be
          entitled to any rights of a shareholder of the Company with respect to
          shares for which this Warrant shall be exercisable, including, without
          limitation, the right to vote, to receive dividends or other
          distributions or to exercise any preemptive rights, and shall not be
          entitled to receive any notice of any proceedings of the Company,
          except as provided herein.

     (e)  The Company shall not be required to pay any Federal or state transfer
          tax or charge that may be payable in respect of any transfer involved
          in the transfer or delivery of this Warrant or the issuance or
          conversion or delivery of certificates for Common Stock in a name
          other than that of the registered holder of this Warrant or to issue
          or deliver any certificates for Common Stock upon the exercise of this
          Warrant until any and all such taxes and charges shall have been paid
          by the holder of this Warrant or until it has been established to the
          Company's satisfaction that no such tax or charge is due.

     9. SUBDIVISION OF RIGHTS. This Warrant (as well as any new warrants issued
pursuant to the provisions of this paragraph) is exchangeable, upon the
surrender hereof by the holder hereof, at the principal office of the Company
for any number of new warrants of like tenor and date representing in the
aggregate the right to subscribe for and purchase the number of shares of Common
Stock of the Company which may be subscribed for and purchased hereunder.

     10. MAILING OF NOTICES, ETC. All notices and other communications from the
Company to the holder of this Warrant shall be mailed by first-class certified
mail, postage prepaid, to the address furnished to the Company in writing by the
last registered holder of this Warrant who shall have furnished an address to
the Company in writing.

     11. HEADINGS, ETC. The headings in this Warrant are for purposes of
reference only, and shall not limit or otherwise affect the meaning hereof.

     12. CHANGE, WAIVER, ETC. Neither this Warrant nor any term hereof may be
changed, waived, discharged or terminated orally but only by an instrument in
writing signed by the party

                                      -13-

 
against which enforcement of the change, waiver, discharge or termination is
sought.

     13. GOVERNING LAW. THIS WARRANT SHALL BE CONSTRUED AND ENFORCED IN
ACCORDANCE WITH THE LAWS OF THE STATE OF DELAWARE.

                                      -14-

 
                              FOUR MEDIA COMPANY


                              By  /s/ Robert T. Walston
                                -------------------------------------
                                Name: Robert T. Walston
                                Title: Chief Executive Officer

Dated:  April 8, 1999

Attest:

By  /s/ William E. Niles
   ----------------------------
   Name:  William E. Niles
   Title: Vice President and 
          General Counsel
 

                                      -15-

 
                  [To be signed only upon exercise of Warrant]


To Four Media Company:

        The undersigned, the holder of the within Warrant, hereby irrevocably
elects to exercise the purchase right represented by such Warrant for, and to
purchase thereunder, ______ shares of Common Stock of Four Media Company and
herewith makes payment of $______therefor, and requests that the certificates
for such shares be issued in the name of, and be delivered to Warburg, Pincus &
Co., as nominee, whose address is _____________________.

Dated:


- ----------------------------- 


 
                                                --------------------------------
(Signature must conform in all respects to name of Holder as specified on the
face of the Warrant)

 
                                                --------------------------------
                                                             Address


- -------------------------------
(Signature Guarantee)

                                      -16-

 
                  [To be signed only upon transfer of Warrant]


     FOR VALUE RECEIVED, the undersigned hereby sells, assigns and transfers
unto ___________________________________ the right represented by the within
Warrant to purchase the ________ shares of the Common Stock of Four Media
Company to which the within Warrant relates, and appoints_______________
attorney to transfer said right on the books of Four Media Company with full
power of substitution in the premises.

Dated:


 
- --------------------------------

(Signature must conform in all respects to name of Holder as specified on the
face of the Warrant)

 
                                             -----------------------------------
                                                           Address

In the presence of


- ------------------------------------- 



- -------------------------------------
(Signature Guarantee)

                                      -17-