R&B FALCON CORP
S-4/A, 1999-05-10
DRILLING OIL & GAS WELLS
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<PAGE>   1
 
      AS FILED WITH THE SECURITIES AND EXCHANGE COMMISSION ON MAY 10, 1999
                                                      REGISTRATION NO. 333-77263
- --------------------------------------------------------------------------------
- --------------------------------------------------------------------------------
 
                       SECURITIES AND EXCHANGE COMMISSION
                              Washington, DC 20549
                             ---------------------
                                AMENDMENT NO. 1
                                       TO
                                    FORM S-4
            REGISTRATION STATEMENT UNDER THE SECURITIES ACT OF 1933
                             ---------------------
 
                             R&B FALCON CORPORATION
             (Exact name of Registrant as specified in its charter)
                             ---------------------
 
<TABLE>
<S>                            <C>                            <C>
           DELAWARE                         1381                        76-0544217
 (State or Other Jurisdiction   (Primary Standard Industrial         (I.R.S. Employer
     of Incorporation or        Classification Code Number)        Identification No.)
        Organization)
</TABLE>
 
                                901 THREADNEEDLE
                              HOUSTON, TEXAS 77079
                                 (281) 496-5000
  (Address, including zip code, and telephone number, including area code, of
                   Registrant's principal executive offices)
 
                                LEIGHTON E. MOSS
                             R&B FALCON CORPORATION
                                901 THREADNEEDLE
                              HOUSTON, TEXAS 77079
                                 (281) 496-5000
 (Name, address, including zip code, and telephone number, including area code,
                             of agent for service)
                             ---------------------
 
                                   Copies to:
 
                                 W. MARK YOUNG
                      GARDERE WYNNE SEWELL & RIGGS, L.L.P.
                           1000 LOUISIANA, SUITE 3400
                           HOUSTON, TEXAS 77002-5007
                                 (713) 276-5864
                             ---------------------
 
     APPROXIMATE DATE OF COMMENCEMENT OF PROPOSED SALE OF THE SECURITIES TO THE
PUBLIC: As soon as practicable after the effective date of this registration
statement and upon consummation of the exchange offer described herein.
 
     If the securities being registered on this Form are being offered in
connection with the formation of a holding company and there is compliance with
General Instruction G, check the following box.  [ ]
 
     If this form is filed to register additional securities for an offering
pursuant to Rule 462(b) under the Securities Act, check the following box and
list the Securities Act registration statement number of the earlier effective
registration statement for the same offering.  [ ]
- ------------
 
     If this form is a post-effective amendment filed pursuant to Rule 462(d)
under the Securities Act, check the following box and list the Securities Act
registration statement number of the earlier effective registration statement
for the offering.  [ ]
- ------------
                             ---------------------
 
     THE REGISTRANT HEREBY AMENDS THIS REGISTRATION STATEMENT ON SUCH DATE OR
DATES AS MAY BE NECESSARY TO DELAY ITS EFFECTIVE DATE UNTIL THE REGISTRANT SHALL
FILE A FURTHER AMENDMENT WHICH SPECIFICALLY STATES THAT THIS REGISTRATION
STATEMENT SHALL THEREAFTER BECOME EFFECTIVE IN ACCORDANCE WITH SECTION 8(a) OF
THE SECURITIES ACT OF 1933 OR UNTIL THE REGISTRATION STATEMENT SHALL BECOME
EFFECTIVE ON SUCH DATE AS THE COMMISSION, ACTING PURSUANT TO SAID SECTION 8(a),
MAY DETERMINE.
 
- --------------------------------------------------------------------------------
- --------------------------------------------------------------------------------
<PAGE>   2
 
PROSPECTUS
 
                             R&B FALCON CORPORATION
                                 EXCHANGE OFFER
                                      FOR
                   $100,000,000 9 1/8% SENIOR NOTES DUE 2003
                                      AND
                   $300,000,000 9 1/2% SENIOR NOTES DUE 2008
                             ---------------------
                  THE EXCHANGE OFFER WILL EXPIRE AT 5:00 P.M.,
             NEW YORK CITY TIME, ON JUNE 11, 1999, UNLESS EXTENDED
                             ---------------------
                            TERMS OF EXCHANGE OFFER
 
     - We are offering a total of $100 million of our 9 1/8% Series B Senior
       Notes Due 2003 for an equal amount of our outstanding 9 1/8% Series A
       Senior Notes Due 2003 and a total of $300 million of our 9 1/2% Series B
       Senior Notes Due 2008 for an equal amount of our outstanding 9 1/2%
       Series A Senior Notes Due 2008
 
     - The exchange offer expires 5:00 p.m., New York City time, June 11, 1999,
       unless extended
 
     - The exchange offer is not subject to any condition other than that it not
       violate applicable law or any applicable interpretation of the staff of
       the Securities and Exchange Commission
 
     - We will exchange all outstanding notes that are validly tendered and not
       validly withdrawn
 
     - Tenders of outstanding notes may be withdrawn any time prior to the
       expiration of the exchange offer
 
     - The exchange of notes will not be a taxable exchange for the U.S. federal
       income tax purposes
 
     - We will not receive any proceeds from the exchange offer
 
     - The terms of the notes to be issued are substantially identical to the
       outstanding notes, except they do not contain the transfer restrictions
       and registration rights relating to the outstanding notes
 
                             ---------------------
      SEE "RISK FACTORS" BEGINNING ON PAGE 11 FOR A DISCUSSION OF MATTERS THAT
YOU SHOULD CONSIDER PRIOR TO DECIDING WHETHER TO EXCHANGE YOUR NOTES IN THE
EXCHANGE OFFER.
                             ---------------------
     NEITHER THE SECURITIES AND EXCHANGE COMMISSION NOR ANY STATE SECURITIES
COMMISSION HAS APPROVED OR DISAPPROVED OF THE NOTES TO BE DISTRIBUTED IN THE
EXCHANGE OFFER, NOR HAVE ANY OF THESE ORGANIZATIONS DETERMINED THAT THIS
PROSPECTUS IS TRUTHFUL OR COMPLETE. ANY REPRESENTATION TO THE CONTRARY IS A
CRIMINAL OFFENSE.
                             ---------------------
                  The date of this Prospectus is May 10, 1999
<PAGE>   3
 
                               TABLE OF CONTENTS
 
<TABLE>
<S>                                                           <C>
SUMMARY.....................................................    1
RISK FACTORS................................................   11
FORWARD-LOOKING STATEMENTS..................................   15
THE EXCHANGE OFFER..........................................   17
USE OF PROCEEDS.............................................   24
CAPITALIZATION..............................................   25
DESCRIPTION OF THE NOTES....................................   27
UNITED STATES FEDERAL TAX CONSEQUENCES FOR NON-UNITED STATES
  HOLDERS...................................................   51
PLAN OF DISTRIBUTION........................................   53
WHERE YOU CAN FIND MORE INFORMATION.........................   53
INCORPORATION BY REFERENCE..................................   53
LEGAL MATTERS...............................................   54
INDEPENDENT PUBLIC ACCOUNTANTS..............................   54
</TABLE>
 
                             ---------------------
 
                                        i
<PAGE>   4
 
                                    SUMMARY
 
     This summary highlights selected information from this prospectus to help
you understand the exchange offer and the exchange notes. You should carefully
read the entire prospectus to understand fully the terms of the exchange offer
and the exchange notes, as well as the tax and other considerations that are
important to you in making your investment decision. You should pay special
attention to the "Risk Factors" section beginning on page 11 of this prospectus.
 
                                  THE COMPANY
 
     We own and operate the world's largest fleet of marine drilling rigs. Our
fleet is one of the most diverse in the industry, capable of drilling in shallow
to ultra-deepwater depths. We currently operate in most of the world's major
offshore hydrocarbon producing regions. We believe that our fleet diversity and
worldwide operations allow us to mitigate revenue and cash flow impacts
associated with a major downturn in any single segment of the drilling industry
or geographic region.
 
     Our overall strategy is to enhance our competitive positions in markets
that generate superior long-term returns. We focus on equipment types that serve
markets with long-term growth potential, can benefit from consolidation, or are
characterized by long-term contracts. As a result of this strategy, we have
become one of the largest drilling contractors in the deepwater, shallow water
and transition zone markets.
 
                              RECENT DEVELOPMENTS
 
     On March 26, 1999, we issued $200 million of our 12 1/4% Senior Notes due
2006. Also on that date, RBF Finance Co., a limited purpose finance company
affiliated with us, issued $400 million of its 11% Senior Secured Notes due 2006
and $400 million of its 11 3/8% Senior Secured Notes due 2009. We borrowed the
proceeds from these notes from RBF Finance Co. in ten separate loans, each of
which is secured by one of our drilling rigs or the construction contract to
build a drilling rig. We also guaranteed the notes that RBF Finance Co. issued.
We are using the proceeds from the loans from RBF Finance Co. to finance the
costs of acquiring, constructing, repairing and improving the drilling rigs that
are security for the loans. To the extent we have already paid these costs, we
are using the proceeds for general corporate purposes, including the repayment
of debt. We are using the net proceeds from our offering of the $200 million
senior notes for general corporate purposes, including the repayment of debt.
For accounting purposes, we will consolidate RBF Finance Co.
 
     On April 7, 1999, Steven Webster, our president and chief executive
officer, announced that he will resign from these officer positions effective
May 31, 1999. Mr. Webster will remain a director of our company. Mr. Paul Loyd,
our chairman of the board, will become our chief executive officer.
 
     On April 15, 1999, BP Amoco cancelled its drilling contract with us for our
drillship Peregrine VII in accordance with the terms of the contract because we
had not delivered this rig on time. We are currently marketing this rig. As part
of this marketing effort, we met with Petrobras in early April 1999 to discuss
possible drilling contracts for our drilling rigs Peregrine VII and the
Deepwater Frontier for the periods we are obligated to use this rig. During
these discussions, Petrobras indicated that it may seek to cancel the contract
for the Falcon 100 based on its interpretation of the cancellation provisions of
this contract. We do not believe that Petrobras has the right to cancel the
contract for the Falcon 100.
 
     On April 22, 1999, we issued 300,000 units, each consisting of one share of
preferred stock and a warrant to purchase 35 shares of our common stock, in a
private placement. The preferred stock provides for a liquidation preference of
$1,000 per share and cumulative dividends, payable quarterly, at a rate of
13 7/8% per year. We may pay these dividends in additional shares of preferred
stock for up to five years. We will have the right to exchange the preferred
stock for subordinated debentures when we could do so without violating the
covenants in our existing debt documents. We must redeem the preferred stock at
a
 
                                        1
<PAGE>   5
 
price equal to its liquidation preference on May 1, 2009. Each warrant entitles
the holder to purchase 35 shares of our common stock, for an aggregate of
10,500,000 shares, at a purchase price of $9.50 per share. The warrants are
exercisable at any time after they separate from the preferred stock, which will
occur no later than October 22, 1999. The warrants expire on May 1, 2009. We are
using the approximately $289 million net proceeds from this offering for general
corporate purposes, including funding our deepwater rig construction program.
 
                                        2
<PAGE>   6
 
                       SUMMARY OF TERMS OF EXCHANGE OFFER
 
     In December 1998, we completed the private offering of $100 million
principal amount of our 9 1/8% Senior Notes due 2003 and $300 million principal
amount of our 9 1/2% Senior Notes due 2008. In connection with that offering, we
agreed, among other things, to deliver to you this prospectus and to use our
best efforts to complete the exchange offer by June 20, 1999.
 
THE EXCHANGE OFFER.........  We are offering to exchange:
 
                             - up to $100 million principal amount of our 9 1/8%
                               Series B Senior Notes due 2003 which have been
                               registered under the Securities Act for an equal
                               amount of our outstanding 9 1/8% Series A Senior
                               Notes due 2003, and
 
                             - up to $300 million principal amount of our 9 1/2%
                               Series B Senior Notes due 2008 which have been
                               registered under the Securities Act for an equal
                               amount of our outstanding 9 1/2% Series A Senior
                               Notes due 2008.
 
                             The form and terms of the exchange notes are
                             identical in all material respects to the form and
                             terms of the outstanding notes except that the
                             exchange notes have been registered under the
                             Securities Act. In order to be exchanged, an
                             outstanding note must be properly tendered and
                             accepted. You may tender outstanding notes only in
                             integral multiples of $1,000.
 
                             As of this date, $400 million principal amount of
                             the notes are outstanding. The exchange offer is
                             not conditioned on any minimum aggregate principal
                             amount of outstanding notes being tendered for
                             exchange.
 
RESALE OF THE EXCHANGE
NOTES......................  Based on an interpretation by the staff of the SEC
                             set forth in no-action letters issued to third
                             parties, we believe that the notes issued in the
                             exchange offer may be offered for resale, resold
                             and otherwise transferred by you without compliance
                             with the registration and prospectus delivery
                             provisions of the Securities Act, provided that:
 
                             - you are acquiring the notes issued in the
                               exchange offer in the ordinary course of
                               business;
 
                             - you are not participating, do not intend to
                               participate, and have no arrangement or
                               understanding with any person to participate, in
                               the distribution of the notes issued to you in
                               the exchange offer;
 
                             - you are not a broker-dealer who purchased such
                               outstanding notes directly from us for resale
                               pursuant to Rule 144A or any other available
                               exemption under the Securities Act; and
 
                             - you are not an "affiliate" of our company.
 
                             Each broker-dealer that acquires notes in the
                             exchange offer for its own account in exchange for
                             notes that it acquired as a result of market-making
                             or other trading activities must acknowledge that
                             it will deliver a prospectus meeting the
                             requirements of the Securities Act in connection
                             with any resale of the notes issued in the exchange
                             offer. The letter of transmittal states that by
                             making this acknowledgment and by delivering a
                             prospectus, a broker-dealer will not be deemed to
                             admit that it is an "underwriter" within the
                             meaning of the
 
                                        3
<PAGE>   7
 
                             Securities Act. A broker-dealer may use this
                             prospectus for an offer to resell, resale or other
                             retransfer of the notes issued to it in the
                             exchange offer. We have agreed that, for a period
                             of 180 days after the date of this prospectus, we
                             will make this prospectus and any amendment or
                             supplement to this prospectus available to any such
                             broker-dealer for use in connection with any such
                             resales. We believe that no registered holder of
                             the outstanding notes is an affiliate (as this term
                             is defined in Rule 405 of the Securities Act) of
                             our company.
 
EXPIRATION DATE............  The exchange offer will expire at 5:00 p.m., New
                             York City time, June 11, 1999, unless we extend the
                             expiration date.
 
ACCRUED INTEREST ON THE
  EXCHANGE NOTES AND THE
  OUTSTANDING NOTES........  If we consummate the exchange offer by June 1,
                             1999, the exchange notes will bear interest from
                             December 22, 1998. If we consummate the exchange
                             offer after June 1, 1999, the exchange notes will
                             bear interest from June 15, 1999. Holders of
                             outstanding notes that are accepted for exchange
                             will not have the right to receive any payment of
                             interest on those notes accrued from December 22,
                             1998 (if we consummate the exchange offer by June
                             1, 1999) or June 15, 1999 (if we consummate the
                             exchange offer after June 1, 1999) to the date of
                             the issuance of the exchange notes. Consequently,
                             holders who exchange their outstanding notes for
                             exchange notes will receive the same interest
                             payment on June 15, 1999 (the first interest
                             payment date) or December 15, 1999 (the second
                             interest payment date) that they would have
                             received had they not accepted the exchange offer.
 
TERMINATION OF THE EXCHANGE
  OFFER....................  We may terminate the exchange offer if we determine
                             that our ability to proceed with the exchange offer
                             could be materially impaired due to any legal or
                             governmental action, new law, statute, rule or
                             regulation or any interpretation of the staff of
                             the SEC of any existing law, statute, rule or
                             regulation. We do not expect any of the foregoing
                             conditions to occur, although there can be no
                             assurance that such conditions will not occur. We
                             must pay increased interest on the notes if we fail
                             to consummate the exchange offer.
 
PROCEDURES FOR TENDERING
  OUTSTANDING NOTES........  If you are a holder of a note and you wish to
                             tender your note for exchange in the exchange
                             offer, you must send to Chase Bank of Texas,
                             National Association, as exchange agent, on or
                             before the expiration date:
 
                             either
 
                             - a properly completed and duly executed letter of
                               transmittal, which accompanies this prospectus,
                               or a facsimile of the letter of transmittal,
                               including all other documents required by the
                               letter of transmittal, to the exchange agent at
                               the address set forth on the cover page of the
                               letter of transmittal; or
 
                             - an agent's message transmitted by means of The
                               Depository Trust Company's Automated Tender Offer
                               Program system and received by the exchange agent
                               and forming a part of a confirmation of book
 
                                        4
<PAGE>   8
 
                               entry transfer in which you acknowledge and agree
                               to be bound by the terms of the letter of
                               transmittal;
 
                             and, the exchange agent must receive on or before
                             the expiration date either
 
                             - a timely confirmation of book-entry transfer of
                               your outstanding notes into the exchange agent's
                               account at The Depository Trust Company; or
 
                             - the documents necessary for compliance with the
                               guaranteed delivery procedures described below.
 
                             By executing the letter of transmittal, each holder
                             will represent to us that, among other things:
 
                             - the person receiving the exchange notes is
                               obtaining the exchange notes in the ordinary
                               course of business of the person receiving such
                               exchange notes, whether or not such person is the
                               holder,
 
                             - neither the holder nor any other person acting
                               for the holder has an arrangement or
                               understanding with any person to participate in
                               the distribution of the exchange notes, and
 
                             - neither the holder nor any such other person is
                               an "affiliate," as defined in Rule 405 under the
                               Securities Act, of our company.
 
SPECIAL PROCEDURES FOR
BENEFICIAL OWNERS..........  If you are the beneficial owner of notes and your
                             name does not appear on a security position listing
                             of The Depository Trust Company as the holder of
                             your notes, or if you are a beneficial owner of
                             registered notes that are registered in the name of
                             a broker, dealer, commercial bank, trust company or
                             other nominee, and you wish to tender your notes in
                             the exchange offer, you should contact the person
                             in whose name your notes are registered promptly
                             and instruct that person to tender on your behalf.
                             If you wish to tender on your own behalf you must,
                             prior to completing and executing the letter of
                             transmittal and delivering your outstanding notes,
                             either make appropriate arrangements to register
                             ownership of the outstanding notes in your name or
                             obtain a properly completed bond power from the
                             registered holder. The transfer of record ownership
                             may take considerable time.
 
GUARANTEED DELIVERY
PROCEDURES.................  If you wish to tender your notes and time will not
                             permit your required documents to reach the
                             exchange agent by the expiration date of the
                             exchange offer, or you cannot complete the
                             procedure for book-entry transfer or deliver
                             certificates for registered notes on time, you may
                             tender your notes pursuant to the procedures
                             described in this prospectus under the heading "The
                             Exchange Offer -- Guaranteed Delivery Procedure."
 
WITHDRAWAL RIGHTS..........  You may withdraw the tender of your notes at any
                             time prior to 5:00 p.m. on the expiration date.
 
FEDERAL TAX CONSEQUENCES...  The exchange of the notes will generally not be a
                             taxable event for United States federal income tax
                             purposes.
 
                                        5
<PAGE>   9
 
USE OF PROCEEDS............  We will not receive any proceeds from the issuance
                             of notes pursuant to the exchange offer. We will
                             pay all expenses incident to the exchange offer.
 
EXCHANGE AGENT.............  Chase Bank of Texas, National Association, the
                             trustee under the indenture governing the notes, is
                             serving as the exchange agent in connection with
                             the exchange offer. The exchange agent can be
                             reached at:
 
                             Chase Bank of Texas, National Association
                             c/o The Chase Manhattan Bank
                             55 Water Street, North Building, Room 234
                             Windows 20 and 21
                             New York, New York 10041
 
                             The telephone number for the exchange agent is
                             (212) 638-0454, and the facsimile number for the
                             exchange agent is (212) 638-7380 or (212) 638-7381
                             (eligible institutions only).
 
CONSEQUENCES OF NOT
  EXCHANGING OUTSTANDING
  NOTES....................  If you do not exchange your outstanding notes for
                             exchange notes, you will no longer be able to
                             require us to register the outstanding notes under
                             the Securities Act. In addition, you will not be
                             able to offer or sell the outstanding notes unless:
 
                             - they are registered under the Securities Act; or
 
                             - you offer or sell them under an exemption from
                               the registration requirements of the Securities
                               Act.
 
     See "The Exchange Offer" for more detailed information concerning the terms
of the exchange offer.
 
                                        6
<PAGE>   10
 
                       SUMMARY OF TERMS OF EXCHANGE NOTES
 
SECURITIES OFFERED.........  $100,000,000 aggregate principal amount of 9 1/8%
                             Senior Notes due 2003; and
 
                             $300,000,000 aggregate principal amount of 9 1/2%
                             Senior Notes due 2008.
 
MATURITY DATES.............  December 15, 2003 for the 9 1/8% Senior Notes due
                             2003; and
 
                             December 15, 2008 for the 9 1/2% Senior Notes due
                             2008
 
INTEREST PAYMENT DATES.....  June 15 and December 15 of each year, beginning
                             June 15, 1999.
 
ADDITIONAL INTEREST........  We will pay additional interest of 0.25% per year
                             for the period from February 20, 1999 to April 28,
                             1999 because we did not file the registration
                             statement for the exchange offer by the date
                             required by the registration rights agreement. If
                             we consummate the exchange offer by June 1, 1999,
                             we will pay this additional interest on June 15,
                             1999 to the holders of the exchange notes as of
                             June 1, 1999. If we do not consummate the exchange
                             offer by June 1, 1999, we will pay this additional
                             interest on June 15, 1999 to the holders of the
                             outstanding notes as of June 1, 1999. In addition,
                             if we do not consummate the exchange offer by June
                             20, 1999, the registration rights agreement will
                             require us to pay additional interest of 0.25% per
                             year for the period from June 20 to the date the
                             exchange offer is consummated.
 
OPTIONAL REDEMPTION........  We may redeem each series of notes at any time, at
                             a price equal to 100% of the principal amount plus
                             accrued and unpaid interest (if any) to the date of
                             redemption plus the applicable make-whole premium
                             (if any). The make-whole premium is the excess of
                             (i) the sum of the present values of the remaining
                             scheduled interest payments on the notes being
                             redeemed plus the principal amount that would have
                             been payable at the final maturity of such notes
                             over (ii) the principal amount of the notes being
                             redeemed.
 
GUARANTEES.................  Any subsidiary that guarantees any of our long-term
                             indebtedness (including indebtedness under our bank
                             facility) will be required to guarantee the notes.
 
RANKINGS...................  The notes will be our senior unsecured obligations.
                             They will rank equally in right of payment with any
                             of our existing and future senior unsecured
                             indebtedness and senior in right of payment to any
                             of our existing and future indebtedness that is, by
                             its terms, expressly subordinated to the notes. The
                             notes will be effectively subordinated to
                             indebtedness and other liabilities of our
                             subsidiaries and to our own secured indebtedness.
                             As of March 31, 1999, our subsidiaries had
                             approximately $225.8 million of indebtedness, in
                             addition to other substantial liabilities
                             (primarily trade payables and accrued expenses). In
                             addition, our $800 million of borrowings from RBF
                             Finance Co. is secured.
 
COVENANTS..................  We issued the outstanding notes and will issue the
                             exchange notes under an indenture with Chase Bank
                             of Texas, National Association. The indenture
                             restricts our ability and the ability of our
                             subsidiaries to:
 
                             - borrow money;
 
                             - pay dividends on stock or purchase stock;
                                        7
<PAGE>   11
 
                             - make investments;
 
                             - use assets as security in other transactions;
 
                             - engage in sale/leaseback transactions; and
 
                             - sell substantially all of our assets or merge or
                               consolidate with other companies.
 
                             These limitations are subject to important
                             qualifications and exceptions.
 
                                  RISK FACTORS
 
     See "Risk Factors" for a discussion of factors you should carefully
consider before deciding whether to exchange your notes in the exchange offer.
 
                                        8
<PAGE>   12
 
                      SUMMARY CONSOLIDATED FINANCIAL DATA
 
     The summary consolidated financial data set forth below gives effect to the
merger of Falcon Drilling Company, Inc. and Reading & Bates Corporation, which
occurred on December 31, 1997, under the "pooling-of-interests" method of
accounting. This means that these companies are treated as if they have always
been combined for accounting and financial reporting purposes. The summary
financial data for the years ended December 31, 1995, 1996, 1997 and 1998 were
derived from our audited consolidated financial statements, and for the year
ended December 31, 1994 from the separate audited consolidated financial
statements of Reading & Bates and Falcon. You should read this data together
with our historical consolidated financial statements, which are incorporated by
reference in this prospectus.
 
<TABLE>
<CAPTION>
                                                                            YEARS ENDED DECEMBER 31,
                                                              -----------------------------------------------------
                                                                 1994        1995      1996       1997     1998(5)
                                                              -----------   ------   --------   --------   --------
                                                              (UNAUDITED)
                                                                     (IN MILLIONS, EXCEPT PER SHARE AMOUNTS)
<S>                                                           <C>           <C>      <C>        <C>        <C>
STATEMENT OF OPERATIONS DATA:
Operating revenues..........................................    $307.6      $390.3   $  609.6   $  933.0   $1,032.6
Operating income............................................      22.4        64.9      178.8      160.4      215.8
Income (loss) from continuing operations before
  extraordinary item........................................     (12.7)       23.5      106.7       29.8       91.0
Net income (loss)(1)........................................     (12.7)       26.9      106.7       (6.2)     102.8
Net income (loss) from continuing operations per common
  share:
  Basic.....................................................      (.18)        .16        .70        .18        .54
  Diluted...................................................      (.18)        .15        .67        .18        .54
Net income (loss) per common share:
  Basic.....................................................      (.18)        .19        .70       (.04)       .61
  Diluted...................................................      (.18)        .18        .67       (.04)       .61
Weighted average common shares outstanding:
  Basic.....................................................      98.8       115.7      147.4      164.1      167.5
  Diluted...................................................      99.5       121.8      157.7      166.2      168.8
OTHER DATA:
EBITDA(2)...................................................    $ 59.4      $111.3   $  236.8   $  307.2   $  421.7
Ratio of EBITDA to interest expense(3)......................       2.2x        3.2x       5.8x       7.4x       6.6x
Ratio of earnings to fixed charges(4).......................        --         1.8x       3.4x       2.6x       2.0x
Depreciation and amortization...............................    $ 38.4      $ 46.9   $   62.3   $   84.7   $   97.6
Capital expenditures and acquisitions.......................     124.7       186.9      383.2      600.2    1,166.5
BALANCE SHEET DATA (END OF PERIOD):
Working capital.............................................    $  9.2      $ 57.7   $  195.3   $  (15.2)  $  175.3
Total assets................................................     810.9       946.8    1,455.8    1,933.0    3,709.3
Total debt..................................................     288.6       296.7      514.2      827.4    1,995.9
Stockholders' equity........................................     356.3       472.6      716.7      728.0    1,250.2
</TABLE>
 
- ---------------
 
(1) After extraordinary gain of $3.4 million in 1995, loss from discontinued
    operations of $36.0 million in 1997 and extraordinary loss of $24.2 million
    and income from discontinued operations of $36.0 million in 1998.
 
(2) "EBITDA" means income (loss) from continuing operations before extraordinary
    gain (loss), interest expense, taxes, depreciation, amortization,
    cancellation of conversion projects and merger expenses. EBITDA should not
    be considered as an alternative to net income as an indicator of our
    operating performance, or as an alternative to cash flow as a better measure
    of liquidity. EBITDA measures presented may not be comparable to other
    similarly titled measures of other companies. We believe EBITDA is a widely
    accepted financial indicator of a company's ability to service debt.
 
(3) We believe that the ratio of EBITDA to interest expense provides an investor
    with information as to our current ability to meet our interest costs.
 
(4) For the purpose of this calculation "earnings" represents income (loss) from
    continuing operations before income tax expense, minority interest, and
    extraordinary gain, plus fixed charges exclusive of interest capitalized.
    "Fixed charges" consist of interest, whether expensed or capitalized,
    amortization of debt expense and an estimated portion of rentals
    representing interest expense. As a result of the loss incurred in 1994,
    earnings were insufficient to cover fixed charges by $3.4 million in that
    year. Fixed charges for the year ended December 31, 1997 and 1998 exclude
    interest cost of $7.3 million and $22.5 million, respectively, related to
    the debt of joint venture companies guaranteed by us or our subsidiaries.
    Approximately $273.4 million of outstanding indebtedness at December 31,
    1998 was retired with a portion of our borrowings from RBF Finance Co. and
    the proceeds from the sale of our $200 million senior notes. Giving effect
    to this retirement and assuming an average effective interest rate of
    approximately 11.76% on this debt and giving effect to the amortization of
    debt issuance costs, the pro forma ratio of earnings to fixed charges for
    the year ended December 31, 1998 is 1.8x.
 
(5) Includes results of Cliffs Drilling Company, which we acquired on December
    1, 1998, only for the month of December 1998 because we accounted for this
    acquisition under the purchase method.
 
                                        9
<PAGE>   13
 
              SUMMARY UNAUDITED PRO FORMA COMBINED FINANCIAL DATA
 
     The summary unaudited pro forma combined financial data set forth below for
the year ended December 31, 1998 was derived from our historical financial
statements and from the historical financial statements of Cliffs Drilling
Company, which we acquired on December 1, 1998. The summary unaudited pro forma
combined financial data is presented as if the acquisition of Cliffs Drilling
and certain other acquisition and financing transactions were consummated at the
beginning of the period. The summary unaudited pro forma combined financial data
does not purport to represent what our company's and Cliffs Drilling's combined
results of operations actually would have been if the acquisition of Cliffs
Drilling had occurred as of the date indicated or will be for any future
periods. The summary unaudited pro forma combined financial data should be read
in conjunction with the unaudited pro forma condensed statement of operations
and our historical financial statements, which are incorporated by reference in
this prospectus.
 
<TABLE>
<CAPTION>
                                                               YEAR ENDED
                                                              DECEMBER 31,
                                                                 1998(4)
                                                              -------------
                                                              (IN MILLIONS,
                                                               UNAUDITED)
<S>                                                           <C>
STATEMENT OF OPERATIONS DATA:
Operating revenues..........................................    $1,349.0
Operating income............................................       305.1
Income from continuing operations...........................       138.9
OTHER DATA:
EBITDA(1)...................................................    $  544.6
Ratio of EBITDA to interest expense(2)......................         6.7x
Ratio of earnings to fixed charges(3).......................         2.4x
Depreciation and amortization...............................    $  130.0
</TABLE>
 
- ---------------
 
(1) "EBITDA" means income from continuing operations before extraordinary loss,
    interest expense, taxes, depreciation, amortization, cancellation of
    conversion projects and merger expenses. EBITDA should not be considered as
    an alternative to net income as an indicator of our operating performance,
    or as an alternative to cash flow as a better measure of liquidity. EBITDA
    measures presented may not be comparable to other similarly titled measures
    of other companies. We believe EBITDA is a widely accepted financial
    indicator of a company's ability to service debt.
 
(2) We believe that the ratio of EBITDA to interest expense provides an investor
    with information as to its current ability to meet its interest costs.
 
(3) For the purpose of this calculation "earnings" represent income from
    continuing operations before income tax expense, minority interest, and
    extraordinary loss, plus fixed charges exclusive of interest capitalized.
    "Fixed charges" consist of interest, whether expensed or capitalized,
    amortization of debt expense, and an estimated portion of rentals
    representing interest expense. Fixed charges for the year ended December 31,
    1998 exclude interest cost of $22.5 million related to the debt of joint
    venture companies guaranteed by us or our subsidiaries.
 
(4) The pro forma data does not reflect any of the proceeds from our offering of
    the outstanding notes completed in December 1998, or the application of the
    net proceeds from that offering, as we used the net proceeds for general
    corporate purposes, including funding our deepwater construction program.
    Additionally, the pro forma data does not reflect the proceeds from the
    senior note offering completed in March 1999 or the application of the loans
    from RBF Finance Co. funded with the proceeds from the secured note
    offerings of RBF Finance Co., since we used these proceeds to repay our
    revolving credit facility and our short-term obligations and for general
    corporate purposes, including funding our deepwater construction program,
    and the impact of repaying the revolving credit facility and short-term
    obligations did not have a material effect. Likewise, the pro forma data
    does not reflect any proceeds from our offering in April 1999 of preferred
    stock and warrants since we are using these proceeds for general corporate
    purposes, including funding our deepwater rig construction program.
 
                                       10
<PAGE>   14
 
                                  RISK FACTORS
 
     You should carefully consider the risks described below before making an
investment decision. The risks described below are not the only ones facing our
company. Additional risks not presently known to us or that we currently deem
immaterial may also impair our business operations. The risk factors set forth
below are generally applicable to the outstanding notes as well as the exchange
notes.
 
     This prospectus also contains forward-looking statements that involve risks
and uncertainties. Our actual results could differ materially from those
anticipated in these forward-looking statements as a result of certain factors,
including the risks faced by us described below and elsewhere in this
prospectus.
 
DEPRESSED INDUSTRY CONDITIONS, COMBINED WITH OUR SUBSTANTIAL CAPITAL
REQUIREMENTS, HAVE ADVERSELY AFFECTED OUR LIQUIDITY.
 
     We are currently constructing or significantly upgrading seven wholly-owned
deepwater drilling rigs. We estimate the gross capital expenditures on these
projects will be approximately $1.8 billion, of which approximately $1.0 billion
remains to be expended. Since May 1998, however, there has been a downturn in
demand for marine drilling rigs resulting in a decline in rig utilization and
dayrates. The decline has been particularly dramatic in the domestic barge and
jack-up rig markets where we are one of the largest contractors. Although our
operating revenues increased by $99.6 million from 1997 to 1998, on a quarterly
basis during 1998 we experienced a decline in operating revenues from $279.4
million for the first quarter of 1998 to $228.7 million for the fourth quarter
of 1998. Similarly, although our EBITDA increased by $114.5 million from 1997 to
1998, we experienced a decline in EBITDA from $136.8 million in the first
quarter of 1998 to $64.6 million in the fourth quarter. As a result of our
declining operating results, our cash flow from operations and cash on hand,
including the net proceeds from our debt offering in March 1999, our borrowings
from RBF Finance Co. and our preferred stock and warrant offering in April 1999,
will not be sufficient to satisfy our short-term and long-term working capital
needs, planned investments, capital expenditures, debt, lease and other payment
obligations. Accordingly, it will be necessary for us to obtain additional
capital through debt and/or equity financings to meet our currently projected
obligations. We are currently evaluating two project financings to meet a
portion of our additional capital requirements. There can be no assurance,
however, that we can obtain these or any other additional financings or, if
obtained, that they will be on favorable terms or for the amount we need. As a
result of our debt offering in March 1999 and our borrowings from RBF Finance
Co., we have a limited ability under our indenture covenants to incur additional
recourse indebtedness and to secure that debt. In the event that we are unable
to obtain the requisite financing, we would have to sell assets or terminate or
suspend one or more construction projects. Termination or suspension of a
project may subject us to claims for penalties or damages under the construction
contracts or drilling contracts for rigs that are being constructed.
Accordingly, our inability to complete such financings would have a material
adverse effect on our financial condition and our ability to repay the notes.
 
WE ARE DEPENDENT ON THE OIL AND GAS INDUSTRY AND MARKET PRICES. DECLINES IN OIL
AND GAS PRICES HAVE ADVERSELY AFFECTED OUR DAYRATES AND RIG UTILIZATION.
 
     We must generate substantial cash flow in order to repay the notes. The
amount of cash flow we generate depends on the level of activity in offshore oil
and gas exploration and development. Oil and gas prices significantly affect the
level of activity in oil and gas exploration and development. These prices are
volatile, and have declined significantly since 1997. This decline has adversely
affected our rig utilization and dayrates. Utilization of our domestic jack-up
fleet has declined from approximately 100% in January 1998 to approximately 32%
in March 1999, and dayrates on new contracts have declined from a range of
$35,000 to $40,000 in January 1998 to a range of $10,000 to $13,000 at present.
Dayrates for our domestic barge drilling rig fleet have not declined materially,
but utilization of the fleet declined from approximately 96% in January 1998 to
approximately 24% in March 1999. Our international jack-up fleet has experienced
declines in utilization and dayrates since January 1998, but such declines have
not been as dramatic as those experienced in the domestic jack-up fleet. If
conditions in the oil and gas industry do not improve in the future, we may be
unable to repay the notes.
                                       11
<PAGE>   15
 
WE HAVE A SIGNIFICANT AMOUNT OF DEBT.
 
     We have a significant amount of debt. At March 31, 1999, our total
indebtedness was approximately $2.7 billion, which would have been 63% of our
total book value capitalization, as adjusted to give effect to our preferred
stock and warrant offering in April. This substantial indebtedness will have
important consequences to you. For example, it will:
 
     - make it more difficult for us to make the required payments on the notes;
 
     - increase our vulnerability to general adverse economic and industry
       conditions;
 
     - limit our ability to fund future capital expenditures and working capital
       and other general corporate requirements;
 
     - potentially require us to sell assets or to terminate or suspend some of
       our deepwater drilling construction projects;
 
     - limit our flexibility in planning for, or reacting to, changes in our
       business and our industry;
 
     - place us at a competitive disadvantage compared to our competitors that
       have less debt; and
 
     - limit our ability to borrow additional funds because of financial and
       other restrictive covenants governing our debt.
 
WE HAVE COMMITTED SIGNIFICANT RESOURCES TO THE DEEPWATER DRILLING MARKET.
 
     We have committed significant financial resources to the deepwater drilling
market through our deepwater rig construction projects. The cost of these
projects will exceed the cash flow from the contractual commitments that we have
for these projects. If the deepwater market continues to weaken, we may not be
able to obtain contracts for the use of the contracted rigs once the initial
contracts expire, and any renewals may be at lower dayrates and for shorter
terms than those in the initial contracts. For the periods during which we are
obligated to use the Deepwater Frontier, we will be obligated to pay the full
dayrate of $165,000 to the limited liability company that owns this rig, without
regard to whether we have a customer for this rig. These developments would
result in reduced cash flows and profitability, and adversely affect our ability
to repay the notes.
 
MOST OF THE FUNDS TO PAY OUR DEBT OBLIGATIONS WILL COME FROM OUR SUBSIDIARIES,
AND YOUR RIGHT TO RECEIVE PAYMENT ON THE NOTES IS JUNIOR TO THE INDEBTEDNESS OF
OUR NON-GUARANTOR SUBSIDIARIES.
 
     Most of our operating income and cash flow from operations is generated by
our subsidiaries. We expect that funds necessary to meet our debt service
obligations will be provided primarily by distributions or advances from our
subsidiaries. Our ability to obtain cash from our subsidiaries to meet our debt
service obligations, including the payment of principal and interest on the
notes, may be limited by contractual and legal restrictions on our subsidiaries
and by their financial condition and requirements for cash to conduct their
operations.
 
     None of our subsidiaries currently guarantee the notes. Our subsidiaries
will not be obligated with respect to the notes unless any subsidiary guarantees
any of our funded indebtedness on or after the date the notes were issued. If
this occurs, the subsidiary will be obligated to equally and ratably guarantee
the notes. Because our subsidiaries do not guarantee the notes, the claims of
creditors of our subsidiaries effectively have priority on the assets and
earnings of the subsidiaries over the claims of the holders of the notes. If any
subsidiary is required to guarantee the notes in the future, its guarantee will
be subordinate to any secured indebtedness of the subsidiary to the extent of
the value of the collateral securing the indebtedness.
 
     In the event of an insolvency, liquidation or reorganization of any of our
subsidiaries, any creditors of the subsidiary, including trade creditors, would
be entitled to payment in full from the assets of the subsidiary before we, as a
stockholder, would be entitled to receive any distribution from the subsidiary.
As of March 31, 1999, our subsidiaries had approximately $225.8 million of
indebtedness, in addition to other
                                       12
<PAGE>   16
 
substantial liabilities (primarily trade payables and accrued expenses). All of
this indebtedness and these other liabilities effectively ranks senior to the
notes.
 
YOUR RIGHT TO RECEIVE PAYMENT ON THE NOTES IS JUNIOR TO OUR SECURED
INDEBTEDNESS.
 
     We have $800 million of secured indebtedness under our loan agreements with
RBF Finance Co. that is secured by liens on ten drilling rigs or construction
contracts for rigs. Accordingly, RBF Finance Co. has claims on these drilling
rigs that are prior to your claims as the holders of the notes. If we default in
paying the notes or if we declare or undergo bankruptcy, liquidation or
reorganization, these assets will be applied to satisfy our obligations for the
secured indebtedness before any payment from these assets could be used to pay
the notes. This means that the secured indebtedness will be senior to the notes
to the extent that the value of the collateral is adequate to satisfy the
secured indebtedness.
 
OUR CUSTOMERS MAY SEEK TO CANCEL OR RENEGOTIATE CONTRACTS DURING DEPRESSED
MARKET CONDITIONS.
 
     During depressed market conditions like those we are currently
experiencing, a customer may no longer need a rig, or may be able to obtain a
comparable rig at a lower dayrate. As a result, customers may pressure us to
renegotiate the terms of existing contracts. In addition, customers may seek to
avoid their obligations under existing drilling contracts. Since December 1998,
customers have cancelled a number of contracts within the drilling industry,
including the contract for our Jack Bates semisubmersible rig, primarily based
on alleged performance breaches by the drilling contractors. Our customer for
our drillship Peregrine VII recently cancelled their contract with us because of
our late delivery of the rig. If our customers cancel some of our significant
contracts, it could have a material adverse effect on our financial condition
and our ability to meet our obligations under the notes.
 
OUR CUSTOMERS MAY CANCEL THEIR DEEPWATER CONTRACTS IF WE EXPERIENCE OPERATIONAL
PROBLEMS.
 
     The deepwater market requires the use of floating rigs utilizing more
sophisticated technologies than those of the bottom-supported rigs that
previously constituted the majority of our fleet. We and other drilling
contractors have experienced problems with the new generation of subsea and
related systems designed for drilling in deeper waters. If this equipment fails
to function properly, the rig cannot engage in drilling operations. If we
encounter these or other operational problems on our deepwater rigs, we will
lose revenues, and our customers may have the right to terminate the drilling
contracts. The likelihood that a customer may seek to terminate a contract for
operational problems is increased during market downturns like the one currently
being experienced. If our customers cancel some of our significant contracts, it
could have a material adverse effect on our financial condition and our ability
to meet our obligations under the notes.
 
OUR CONSTRUCTION AND UPGRADE PROJECTS ARE SUBJECT TO DELAYS AND COST OVERRUNS.
 
     Our deepwater rig construction and upgrade projects are subject to delays
and cost overruns from (1) delays in equipment deliveries, (2) unforeseen
engineering problems, (3) work stoppages, (4) weather interference, (5)
unanticipated cost increases and (6) shortages of materials or skilled labor.
Our conversion projects are particularly susceptible to cost overruns and delays
due to the engineering and construction uncertainties inherent in conversion
projects. The customer for our drillship Peregrine VII has cancelled its
drilling contract due to late delivery of this rig. We will be subject to late
delivery penalties to our customers for our drillships Peregrine IV and Falcon
100, and our drilling contracts for these rigs give the customer cancellation
rights if deliveries are delayed significantly. We have recently extended the
delivery dates for, and increased our estimated costs of, several of our
deepwater rig projects. Any additional cost overruns or delays will adversely
affect our financial condition and results of operations and make it more
difficult for us to make the required payments on the notes.
 
                                       13
<PAGE>   17
 
REDUCED DAYRATES RESULTING FROM COMPETITION ADVERSELY EFFECT OUR RESULTS OF
OPERATIONS BECAUSE WE CANNOT SIGNIFICANTLY REDUCE OUR OPERATING COTS.
 
     The marine drilling market is highly competitive and no one competitor is
dominant. During periods when the supply of rigs exceeds demand, as it currently
does, this competition results in significant downward pressure on the dayrates
at which we can contract our rigs. Because our rig operating costs cannot be
materially reduced, any reduction in dayrates adversely affects our results of
operations.
 
WE ARE SUBJECT TO OPERATIONAL RISKS.
 
     Our operations are subject to the hazards inherent in the marine drilling
business. These include (1) blowouts, (2) craterings, (3) fires, (4) collisions,
(5) capsizings and (6) adverse weather. These hazards could result in
substantial damage to the environment, personal injury and loss of life,
suspension of drilling operations or damage to property and producing
formations. We may incur substantial liabilities or losses as a result of these
hazards. While we maintain insurance protection against some of these risks, and
seek to obtain indemnity agreements from our customers requiring the customers
to hold us harmless in the event of loss of production, reservoir damage or
liability for pollution that originates below the water surface, our insurance
or contractual indemnity protection may not be sufficient to protect us under
all circumstances or against all hazards.
 
WE CONDUCT TURNKEY DRILLING OPERATIONS.
 
     We conduct most of our drilling services under daywork drilling contracts
where the customer pays for the period of time required to drill or workover a
well. We expect to provide an increasing portion of our services under turnkey
drilling contracts. Under turnkey drilling contracts, we contract to drill a
well to a contract depth under specified conditions for a fixed price. Our risks
under a turnkey drilling contract are substantially greater than on a well
drilled on a daywork basis because we assume most of the risks associated with
drilling operations generally assumed by the operator in a daywork contract,
including (1) risk of blowout, (2) loss of hole, (3) stuck drill stem, (4) lost
production or damage to the reservoir, (5) machinery breakdowns, (6) abnormal
drilling conditions and (7) risks associated with subcontractors' services,
supplies and personnel.
 
WE CONDUCT FOREIGN OPERATIONS.
 
     We currently operates our rigs worldwide. Operations outside the United
States involve additional risks, including (1) war and civil disturbances, (2)
general strikes, (3) regional economic downturns and (4) foreign governmental
activities that may limit or disrupt markets, restrict payments or the movement
of funds, impose exchange controls or cause currency devaluations, or result in
the loss of contract rights or expropriation of property.
 
OFFSHORE DRILLING OPERATIONS ARE SUBJECT TO GOVERNMENT REGULATION.
 
     A number of federal, state, local and foreign laws and regulations govern
our operations. These include laws and regulations that restrict the discharge
of materials into the environment or otherwise relate to the protection of the
environment, the safety of our personnel and vessels and other matters.
Environmental laws and regulations could impose significant liability on us for
damages, clean-up costs and penalties if we spill oil or other pollutants in the
course of our operations. Some of these laws impose liability without regard to
negligence or fault. Environmental and other laws and regulations may increase
our costs of doing business, discourage our customers from exploring for oil and
gas and reduce demand for our services.
 
THERE IS NO ESTABLISHED MARKET FOR THE NOTES.
 
     The notes that are currently outstanding have not been registered under the
Securities Act or any state securities law. Therefore, these notes may not be
offered or sold except pursuant to an effective
 
                                       14
<PAGE>   18
 
registration statement on an exemption from, or in a transaction not subject to,
the registration requirements of the Securities Act and any applicable state
securities laws.
 
     Although the exchange notes may be resold or otherwise transferred by the
holders (who are not affiliates of our company) without compliance with the
registration requirements under the Securities Act, they will be new securities
for which there is currently no established trading market. We do not intend to
apply for listing of the exchange notes on a national securities exchange or for
quotation of the exchange notes on an automated dealer quotation system. The
liquidity of any market for the exchange notes will depend upon the number of
holders of the exchange notes, the interest of securities dealers in making a
market in the exchange notes and other factors. Accordingly, there can be no
assurance as to the development or liquidity of any market for the exchange
notes. If an active trading market for the exchange notes does not develop, the
market price and liquidity of the exchange notes may be adversely affected. If
the exchange notes are traded, they may trade at a discount from their face
value, depending upon prevailing interest rates, the market for similar
securities, our performance and certain other factors. The exchange notes will
be eligible for trading in The PORTAL Market.
 
     Even though we are registering our offer of the exchange notes in the
exchange offer, holders who are "affiliates" (as defined under Rule 405 of the
Securities Act) of our company may publicly offer for sale or resell the
exchange notes only in compliance with provisions of Rule 144 under the
Securities Act.
 
YOUR NOTES WILL CONTINUE TO BE SUBJECT TO TRANSFER RESTRICTIONS IF YOU DO NOT
EXCHANGE THEM IN THE EXCHANGE OFFER.
 
     If you do not exchange your notes for the exchange notes pursuant to the
exchange offer, you will continue to be subject to the restrictions on transfer
of your notes described in the legend on your notes. The restrictions on
transfer of your notes arise because we issued the notes pursuant to exemptions
from, or in transactions not subject to, the registration requirements of the
Securities Act and applicable state securities laws. In general, you may only
offer or sell the currently outstanding notes if they are registered under the
Securities Act and applicable state securities laws, or offered and sold
pursuant to an exemption from these registration requirements. We do not intend
to register the currently outstanding notes under the Securities Act. In
addition, if you exchange your notes in the exchange offer for the purpose of
participating in a distribution of the exchange notes, you may be deemed to have
received restricted securities and, if so, will be required to comply with the
registration and prospectus delivery requirements of the Securities Act in
connection with any resale transaction. To the extent the amount of the
currently outstanding notes decreases because noteholders tendered their notes
in the exchange offer, the trading market, if any, for the currently outstanding
notes after the closing of the exchange offer would be adversely affected.
 
                           FORWARD-LOOKING STATEMENTS
 
     This prospectus includes and incorporates by reference forward-looking
statements within the meaning of the Private Securities Litigation Reform Act of
1995. These statements relate to analyses and other information which are based
on forecasts of future results and estimates of amounts not yet determinable.
These statements also relate to our future prospects, developments and business
strategies.
 
     These forward-looking statements are identified by their use of terms and
phrases such as "anticipate," "believe," "could," "estimate," "expect,"
"intend," "may," "plan," "predict," "project," "will," and similar terms and
phrases, including references to assumptions. These statements are contained in
sections entitled "Summary" and "Risk Factors," and other sections of this
prospectus and in the documents incorporated by reference in this prospectus.
 
     These forward-looking statements involve risks and uncertainties that may
cause our actual future activities and results of operations to be materially
different from those suggested or described in this prospectus. These risks
include: our dependence on the oil and gas industry; the effects of recent
declines in oil and gas prices; our commitment to the deepwater drilling market;
our ability to secure adequate
 
                                       15
<PAGE>   19
 
financing, including financing to fund our deepwater drilling program; the risks
involved in our construction and upgrade projects; competition; operational
risks; risks involved in turnkey operations and foreign operations; the age of
our rigs; government regulation and environmental matters; our ability to
integrate and realize anticipated synergies relating to the merger with Cliffs
Drilling Company; our ability to achieve and execute internal business plans;
and the impact of any economic downturns and inflation.
 
     If one or more of these risks or uncertainties materialize, or if
underlying assumptions prove incorrect, our actual results may vary materially
from those expected, estimated or projected.
 
                                       16
<PAGE>   20
 
                               THE EXCHANGE OFFER
 
TERMS OF THE EXCHANGE OFFER; PERIOD FOR TENDERING OUTSTANDING NOTES
 
     Subject to the terms and conditions set forth in this prospectus and in the
letter of transmittal, we are offering to exchange up to $100 million in
aggregate principal amount of our 9 1/8% Series B Senior Notes Due 2003 for an
equal amount of our outstanding 9 1/8% Series A Senior Notes Due 2003 and up to
$300 million in aggregate principal amount of our 9 1/2% Series B Senior Notes
Due 2008 for an equal amount of our outstanding 9 1/2% Series A Senior Notes Due
2008. We will accept for exchange 9 1/8% Series A Senior Notes due 2003 and
9 1/2% Series B Senior Notes due 2008 which are properly tendered on or prior to
the expiration date and not withdrawn as permitted below. As used in this
prospectus, the term "expiration date" means 5:00 p.m., New York City time, on
June 11, 1999; provided, however, that if we, in our sole discretion, have
extended the period of time during which the exchange offer is open, the term
"expiration date" means the latest time and date to which we extend the exchange
offer.
 
     The currently outstanding notes were issued on December 22, 1998 in a
private offering. As of the date of this prospectus, there are $100 million
aggregate amount of 9 1/8% Series A Senior Notes due 2003 and $300 million
aggregate amount of our 9 1/2% Series A Senior Notes due 2008 outstanding. This
prospectus and the letter of transmittal are first being sent on or about May
10, 1999, to all holders of outstanding notes known to us. Our obligation to
accept outstanding notes for exchange pursuant to the exchange offer is subject
to certain conditions as set forth below under "-- Certain Conditions to the
Exchange Offer."
 
     We expressly reserve the right, at any time or from time to time, to extend
the period of time during which the exchange offer is open, and thereby delay
acceptance for exchange of any outstanding notes, by giving oral or written
notice of such extension to the holders of outstanding notes as described below.
During any extension, all outstanding notes previously tendered will remain
subject to the exchange offer and may be accepted for exchange by us. We will
return at no expense to the holder any outstanding notes not accepted for
exchange as promptly as practicable after the expiration or termination of the
exchange offer.
 
     Outstanding notes tendered in the exchange offer must be in denominations
of principal amount of $1,000 and any integral multiple thereof.
 
     If any of the events specified in "-- Certain Conditions to the Exchange
Offer" should occur, we expressly reserve the right to amend or terminate the
exchange offer, and not to accept for exchange any outstanding notes not
theretofore accepted for exchange. We will give oral or written notice of any
extension, amendment, non-acceptance or termination to holders of outstanding
notes as promptly as practicable. In the case of an extension, we will issue a
press release or other public announcement no later than 9:00 a.m., New York
City time, on the next business day after the previously scheduled expiration
date.
 
     Following consummation of the exchange offer, we may, in our sole
discretion, commence one or more additional exchange offers to those holders of
currently outstanding notes who do not exchange their notes in this exchange
offer on terms which may differ from those contained in this prospectus. We may
use this prospectus, as amended or supplemented from time to time, in connection
with additional exchange offers. These additional exchange offers may take place
from time to time until all of the currently outstanding notes have been
exchanged for exchange notes.
 
PROCEDURES FOR TENDERING OUTSTANDING NOTES
 
     The tender by a holder of a series of the outstanding notes and our
acceptance of that holder's notes will constitute a binding agreement between us
and that holder subject to the terms and conditions set forth in this prospectus
and the accompanying letter of transmittal. Except as set forth below in the
section entitled "Guaranteed Delivery Procedures," to tender in the exchange
offer, a holder must transmit to
 
                                       17
<PAGE>   21
 
Chase Bank of Texas, National Association, the exchange agent, at the address
set forth under "-- Exchange Agent" on or prior to the expiration date either:
 
     - a properly completed and duly executed letter of transmittal, including
       all other documents required by the letter of transmittal, or
 
     - if the notes are tendered pursuant to the book-entry procedures set forth
       below, the tendering note holder may transmit an agent's message
       (described below) instead of the letter of transmittal.
 
     In addition, on or prior to the expiration date, either:
 
     - the exchange agent must receive the certificates for the notes along with
       the letter of transmittal; or
 
     - the exchange agent must receive a timely confirmation of a book-entry
       transfer of the tendered notes into the exchange agent's account at The
       Depository Trust Company according to the procedure for book-entry
       transfer described below, along with a letter of transmittal or an
       agent's message in lieu of the letter of transmittal; or
 
     - the holder must comply with the guaranteed delivery procedures described
       below.
 
     An "agent's message" is a message, transmitted by The Depository Trust
Company and received by the exchange agent and forming a part of the book-entry
confirmation, which states that The Depository Trust Company has received an
express acknowledgment from the tendering holder that the holder has received
and agrees to be bound by the letter of transmittal and that we may enforce the
letter of transmittal against the holder.
 
     The method of delivery of outstanding notes, letters of transmittal or
agent's messages and all other required documents is at the election and risk of
the holders. If such delivery is by mail, we recommend registered mail, properly
insured, with return receipt requested. In all cases, you should allow
sufficient time to assure timely delivery. Do not send letters of transmittal,
agent's messages or outstanding notes to us.
 
     Signatures on a letter of transmittal or a notice of withdrawal must be
guaranteed unless the outstanding notes surrendered for exchange are tendered
either by a registered holder of the notes who has not completed the box
entitled "Special Issuance Instructions" or "Special Delivery Instructions" on
the letter of transmittal or for the account of an eligible institution. An
"eligible institution" is a firm which is a member of a registered national
securities exchange or a member of the National Association of Securities
Dealers, Inc. or a commercial bank or trust company having an office or
correspondent in the United States. If signatures on a letter of transmittal or
a notice of withdrawal are required to be guaranteed, the guarantor must be an
eligible institution. If outstanding notes are registered in the name of a
person other than a signer of the letter of transmittal, the outstanding notes
surrendered for exchange must be endorsed by, or be accompanied by a written
instrument or instruments of transfer or exchange, in satisfactory form as
determined by us in our sole discretion, duly executed by, the registered holder
with the signature guaranteed by an eligible institution.
 
     We will determine all questions as to the validity, form, eligibility
(including time of receipt) and acceptance of outstanding notes tendered for
exchange in our sole discretion. Our determination will be final and binding. We
reserve the absolute right to reject any and all tenders of outstanding notes
improperly tendered or to not accept any outstanding notes which acceptance
might, in our judgment or that of our counsel, be unlawful. We also reserve the
absolute right to waive any defects or irregularities or conditions of the
exchange offer as to any outstanding notes either before or after the expiration
date (including the right to waive the ineligibility of any holder who seeks to
tender outstanding notes in the exchange offer). Our interpretation of the terms
and conditions of the exchange offer as to any particular outstanding notes
either before or after the expiration date (including the letter of transmittal
and its instructions) will be final and binding on all parties. Unless waived,
any defects or irregularities in connection with tenders of outstanding notes
for exchange must be cured within such reasonable period of time as we shall
determine. Neither we, the exchange agent nor any other person shall be under
any duty
                                       18
<PAGE>   22
 
to give notification of any defect or irregularity with respect to any tender of
outstanding notes for exchange, nor shall we or any of them incur any liability
for failure to give such notification.
 
     If a person other than the registered holder of outstanding notes signs the
letter of transmittal, the outstanding notes must be endorsed or accompanied by
appropriate powers of attorney, in either case signed exactly as the name of the
registered holder that appears on the outstanding notes.
 
     If trustees, executors, administrators, guardians, attorneys-in-fact,
officers of corporations or others acting in a fiduciary or representative
capacity sign the letter of transmittal or any outstanding notes or powers of
attorney, such persons should so indicate when signing, and you must submit
proper evidence satisfactory to us of such persons' authority to so act unless
we waive this requirement.
 
     By tendering, each holder represents to us that, among other things, the
exchange notes acquired pursuant to the exchange offer are being obtained in the
ordinary course of business of the person receiving the exchange notes, whether
or not the person is the holder, and that neither the holder nor any person for
whom the holder is acting has any arrangement or understanding with any person
to participate in the distribution of the exchange notes. In the case of a
holder that is not a broker-dealer, the holder, by tendering, also represents to
us that the holder is not engaged in, nor intends to engage in, a distribution
of the exchange notes. If any holder or any such other person is an "affiliate,"
as defined under Rule 405 of the Securities Act, of our company, or is engaged
in or intends to engage in or has an arrangement or understanding with any
person to participate in a distribution of the exchange notes to be acquired
pursuant to the exchange offer, the holder or any such other person could not
rely on the applicable interpretations of the staff of the SEC and must comply
with the registration and prospectus delivery requirements of the Securities Act
in connection with any resale transaction. Each broker-dealer that receives
exchange notes for its own account in exchange for outstanding notes, where the
outstanding notes were acquired by that broker dealer as a result of
market-making activities or other trading activities, must acknowledge that it
will deliver a prospectus in connection with any resale of the exchange notes.
See "Plan of Distribution." The letter of transmittal states that by
acknowledging this and by delivering a prospectus, a broker-dealer will not be
deemed to admit that it is an "underwriter" within the meaning of the Securities
Act.
 
ACCEPTANCE OF OUTSTANDING NOTES FOR EXCHANGE; DELIVERY OF EXCHANGE NOTES
 
     Upon satisfaction or waiver of all of the conditions to the exchange offer,
we will accept, promptly after the expiration date, all outstanding notes
properly tendered and will issue the exchange notes promptly after acceptance of
the outstanding notes. See "-- Certain Conditions to the Exchange Offer." For
purposes of the exchange offer, we shall be deemed to have accepted properly
tendered outstanding notes for exchange when we have given oral or written
notice to the exchange agent, with written confirmation of any oral notice to be
given promptly thereafter.
 
     For each outstanding note of a series that we accept for exchange, the
outstanding note holder will receive an exchange note of the same series having
a principal amount and maturity equal to that of the surrendered outstanding
note. If we consummate the exchange offer by June 1, 1999, interest on the
exchange notes will accrue from December 22, 1998, the original issue date of
the outstanding notes. If we consummate the exchange offer after June 1, 1999,
interest on the exchange notes will accrue from June 15, 1999, which is the
first interest payment date. Because we did not file the registration statement
of which this prospectus is a part within the time period required by the
registration rights agreement, we will pay additional interest of 0.25% per year
for the period from February 20, 1999 to April 28, 1999. We will pay this
additional interest on June 15, 1999. If the exchange offer is not consummated
by June 20, 1999, the interest rate on each series of the outstanding notes from
and including such date until but excluding the date of consummation of the
exchange offer will increase by 0.25% for the first 90 days and then by 0.5%
thereafter. Payments of this additional interest, if any, on outstanding notes
in exchange for which exchange notes were issued will be made to the persons
who, at the close of business on June 1 or December 1 immediately preceding the
interest payment date, are registered holders of the outstanding notes if such
record date occurs prior to the exchange, or are registered holders of the
exchange notes if
 
                                       19
<PAGE>   23
 
the record date occurs on or after the date of the exchange, even if notes are
cancelled after the record date and on or before the interest payment date.
 
     In all cases, issuance of exchange notes for outstanding notes that are
accepted for exchange pursuant to the exchange offer will be made only after the
exchange agent timely receives either certificates for the outstanding notes or
a book-entry confirmation of the outstanding notes into the exchange agent's
account at The Depository Trust Company, a properly completed and duly executed
letter of transmittal and all other required documents or, in the case of a
book-entry confirmation, an agent's message. If for any reason set forth in the
terms and conditions of the exchange offer we do not accept any tendered notes
or if outstanding notes are submitted for a greater principal amount than the
holder desired to exchange, we will return such unaccepted or non-exchanged
outstanding notes without expense to the tendering holder (or, in the case of
outstanding notes tendered by book-entry transfer into the exchange agent's
account at The Depository Trust Company pursuant to the book-entry procedures
described below, such unaccepted or non-exchanged outstanding notes will be
credited to an account maintained with The Depository Trust Company) as promptly
as practicable after the expiration or termination of the exchange offer.
 
BOOK-ENTRY TRANSFER
 
     The exchange agent will make a request to establish an account with respect
to the outstanding notes at The Depository Trust Company for the exchange offer
within two business days after the date of this prospectus, and any financial
institution that is a participant in The Depository Trust Company's systems may
make book-entry delivery of outstanding notes by causing The Depository Trust
Company to transfer such outstanding notes into the exchange agent's account at
The Depository Trust Company in accordance with The Depository Trust Company's
procedures for transfer. However, although delivery of outstanding notes may be
effected through book-entry transfer at The Depository Trust Company, the letter
of transmittal or facsimile thereof, with any required signature guarantees, or
an agent's message in lieu of a letter of transmittal, and any other required
documents, must, in any case, be transmitted to and received by the exchange
agent at one of the addresses set forth below under "-- Exchange Agent" on or
prior to the expiration date or the guaranteed delivery procedures described
below must be complied with.
 
GUARANTEED DELIVERY PROCEDURES
 
     If a registered holder of the outstanding notes desires to tender its
outstanding notes and its outstanding notes are not immediately available, or
time will not permit the holder's outstanding notes or other required documents
to reach the exchange agent before the expiration date, or the procedure for
book-entry transfer cannot be completed on a timely basis, a tender may be
effected if:
 
     - the tender is made through an eligible institution;
 
     - prior to the expiration date, the exchange agent receives from such
       eligible institution a properly completed and duly executed letter of
       transmittal (or a facsimile thereof) and notice of guaranteed delivery,
       substantially in the form provided by us (by telegram, telex, facsimile
       transmission, mail or hand delivery), setting forth the name and address
       of the holder of outstanding notes and the amount of outstanding notes
       tendered, stating that the tender is being made thereby and guaranteeing
       that within three New York Stock Exchange trading days after the date of
       execution of the notice of guaranteed delivery, the certificates for all
       physically tendered outstanding notes, in proper form for transfer, or a
       book-entry confirmation and any other documents required by the letter of
       transmittal will be deposited by the eligible institution with the
       exchange agent; and
 
     - the exchange agent receives the certificates for all physically tendered
       outstanding notes, in proper form for transfer, or a book-entry
       confirmation and all other documents required by the letter of
       transmittal, within three NYSE trading days after the date of execution
       of the notice of guaranteed delivery.
 
                                       20
<PAGE>   24
 
WITHDRAWAL RIGHTS
 
     You may withdraw tenders of outstanding notes at any time prior to the
expiration date.
 
     For a withdrawal to be effective, you must send a written notice of
withdrawal to the exchange agent at one of the addresses set forth below under
"-- Exchange Agent." Any such notice of withdrawal must specify the name of the
person having tendered the outstanding notes to be withdrawn, identify the
outstanding notes to be withdrawn (including the principal amount of those
outstanding notes), and (where certificates for outstanding notes have been
transmitted) specify the name in which those outstanding notes are registered,
if different from that of the withdrawing holder. If certificates for
outstanding notes have been delivered or otherwise identified to the exchange
agent, then, prior to the release of those certificates the withdrawing holder
must also submit the serial numbers of the particular certificates to be
withdrawn and a signed notice of withdrawal with signatures guaranteed by an
eligible institution unless such holder is an eligible institution. If
outstanding notes have been tendered pursuant to the procedure for book-entry
transfer described above, any notice of withdrawal must specify the name and
number of the account at The Depository Trust Company to be credited with the
withdrawn outstanding notes and otherwise comply with the procedures of such
facility. We will determine all questions as to the validity, form and
eligibility (including time of receipt) of these notices. Our determination will
be final and binding on all parties. Any outstanding notes that are withdrawn
will be deemed not to have been validly tendered for exchange for purposes of
the exchange offer. Any outstanding notes which have been tendered for exchange
but which are not exchanged for any reason will be returned to the holder
without cost to the holder (or, in the case of outstanding notes tendered by
book-entry transfer into the exchange agent's account at The Depository Trust
Company pursuant to the book-entry transfer procedures described above, the
outstanding notes will be credited to an account maintained with The Depository
Trust Company for the outstanding notes) as soon as practicable after
withdrawal, rejection of tender or termination of the exchange offer. Properly
withdrawn outstanding notes may be retendered by following one of the procedures
described under "-- Procedures for Tendering Outstanding Notes" above at any
time on or prior to the expiration date.
 
CERTAIN CONDITIONS TO THE EXCHANGE OFFER
 
     Notwithstanding any other provision of the exchange offer, we shall not be
required to accept for exchange, or to issue exchange notes in exchange for, any
outstanding notes. We may terminate or amend the exchange offer if, at any time
before the acceptance of the outstanding notes for exchange or the exchange of
the exchange notes for the outstanding notes, we determine in our sole and
absolute discretion that the exchange offer would violate applicable law or any
applicable interpretation of the staff of the SEC.
 
EXCHANGE AGENT
 
     We have appointed Chase Bank of Texas, National Association, as the
exchange agent for the exchange offer. You should send all executed letters of
transmittal to the exchange agent at one of the addresses set forth below.
Questions and requests for assistance, requests for additional copies of this
prospectus or of the letter of transmittal and requests for notices of
guaranteed delivery should be directed to the exchange agent addressed as
follows:
 
<TABLE>
<S>                                              <C>
      By Registered or Certified Mail or            by Facsimile:
              Overnight Delivery                    (212) 638-7380
  Chase Bank of Texas, National Association      Confirm by Telephone
         c/o The Chase Manhattan Bank               (212) 638-0454
       55 Water Street, North Building
         Room 234, Windows 20 and 21
           New York, New York 10041
</TABLE>
 
                                       21
<PAGE>   25
 
     DELIVERY OF THE LETTER OF TRANSMITTAL TO AN ADDRESS OTHER THAN AS SET FORTH
ABOVE OR TRANSMISSION OF INSTRUCTIONS VIA FACSIMILE OTHER THAN AS SET FORTH
ABOVE IS NOT VALID DELIVERY OF SUCH LETTER OF TRANSMITTAL.
 
FEES AND EXPENSES
 
     We will not make any payment to brokers, dealers, or others soliciting
acceptances of the exchange offer.
 
     We will pay the estimated cash expenses to be incurred in connection with
the exchange offer, which we estimate will be approximately $250,000.
 
TRANSFER TAXES
 
     Holders who tender their outstanding notes for exchange will not be
obligated to pay any transfer taxes in connection with the tender, except that
holders who instruct us to register exchange notes in the name of, or request
that outstanding notes not tendered or not accepted in the exchange offer be
returned to, a person other than the registered tendering holder will be
responsible for the payment of any applicable transfer tax.
 
CONSEQUENCES OF EXCHANGING OR FAILING TO EXCHANGE OUTSTANDING NOTES
 
     Holders of outstanding notes who do not exchange their outstanding notes
for exchange notes pursuant to the exchange offer will continue to be subject to
the provisions in the indenture regarding transfer and exchange of the
outstanding notes and the restrictions on transfer of the outstanding notes as
set forth in the legend on the outstanding notes. In general, the outstanding
notes may not be offered or sold, unless registered under the Securities Act,
except pursuant to an exemption from, or in a transaction not subject to, the
Securities Act and applicable state securities laws. We do not currently
anticipate that we will register outstanding notes under the Securities Act. See
"Description of the Notes -- Registered Exchange Offer; Registration Rights."
 
     Based on interpretations by the staff of the SEC, as set forth in no-action
letters issued to third parties, we believe that exchange notes issued pursuant
to the exchange offer in exchange for outstanding notes may be offered for
resale, resold or otherwise transferred by the holders (other than any holder
that is an "affiliate" of our company within the meaning of Rule 405 under the
Securities Act) without compliance with the registration and prospectus delivery
provisions of the Securities Act, provided that the exchange notes are acquired
in the ordinary course of the holders' business and the holders have no
arrangement or understanding with any person to participate in the distribution
of such exchange notes. However, we do not intend to request the SEC to
consider, and the SEC has not considered, the exchange offer in the context of a
no-action letter and we cannot guarantee that the staff of the SEC would make a
similar determination with respect to the exchange offer.
 
     Each holder, other than a broker-dealer, must acknowledge that it is not
engaged in, and does not intend to engage in, a distribution of exchange notes
and has no arrangement or understanding to participate in a distribution of
exchange notes. If any holder is an affiliate of our company, is engaged in or
intends to engage in or has any arrangement or understanding with respect to the
distribution of the exchange notes to be acquired pursuant to the exchange
offer, such holder:
 
     - could not rely on the applicable interpretations of the staff of the SEC,
       and
 
     - must comply with the registration and prospectus delivery requirements of
       the Securities Act in connection with any resale transaction.
 
     Each broker-dealer that receives exchange notes for its own account in
exchange for outstanding notes, where the outstanding notes were acquired by the
broker-dealer as a result of market-making activities or other trading
activities, must acknowledge that it will deliver a prospectus in connection
with any resale of the exchange notes. See "Plan of Distribution."
 
                                       22
<PAGE>   26
 
     In addition, to comply with state securities laws, the exchange notes may
not be offered or sold in any state unless they have been registered or
qualified for sale in the state or an exemption from registration or
qualification is available and is complied with. The offer and sale of the
exchange notes to "qualified institutional buyers" (as such term is defined
under Rule 144A of the Securities Act) is generally exempt from registration or
qualification under the state securities laws. We currently do not intend to
register or qualify the sale of the exchange notes in any state where an
exemption from registration or qualification is required and not available.
 
                                       23
<PAGE>   27
 
                                USE OF PROCEEDS
 
     We will not receive any cash proceeds from the issuance of the exchange
notes offered hereby. In consideration for issuing the exchange notes of a
series as contemplated in this prospectus, we will receive in exchange
outstanding notes of the corresponding series in like principal amount. The form
and terms of each series of the exchange notes are identical in all material
respects to the form and terms of such series of outstanding notes of the
corresponding series, except that:
 
     - the offering of the exchange notes has been registered under the
       Securities Act,
 
     - the exchange notes will not be subject to transfer restrictions, and
 
     - the holders of the exchange notes will not be entitled to registration or
       other rights under the registration rights agreement, including the
       payment of additional interest upon our failure to consummate the
       exchange offer or the occurrence of certain other events.
 
     The outstanding notes surrendered in exchange for exchange notes will be
retired and canceled and cannot be reissued. Accordingly, issuance of the
exchange notes will not result in a change in our indebtedness.
 
                                       24
<PAGE>   28
 
                                 CAPITALIZATION
 
     The following table sets forth our unaudited consolidated capitalization as
of December 31, 1998 and our unaudited consolidated capitalization as adjusted
to reflect the offering of the outstanding notes, the offering of the senior
notes in March 1999, our borrowings from RBF Finance Co., and our offering of
preferred stock and warrants in April 1999, and the application of the net
proceeds from these offerings. You should read this table along with our
consolidated financial statements and the related notes that are incorporated by
reference in this prospectus.
 
<TABLE>
<CAPTION>
                                                                        AS OF
                                                                  DECEMBER 31, 1998
                                                              -------------------------
                                                                                AS
                                                                ACTUAL       ADJUSTED
                                                              -----------   -----------
                                                              (IN MILLIONS, UNAUDITED)
<S>                                                           <C>           <C>
Cash and cash equivalents(1)................................   $  177.4      $1,083.3
                                                               ========      ========
Short-term obligations(2)...................................   $  123.4      $     --
Current portion of long-term debt...........................        6.3           6.3
Long-term debt, excluding current portion:
  Bank facilities(3)........................................      150.0            --
  Loans from RBF Finance Co. due 2006(4)....................         --         400.0
  Loans from RBF Finance Co. due 2009(5)....................         --         400.0
  12 1/4% Senior Notes due 2006.............................         --         200.0
  6 1/2% Senior Notes due 2003..............................      249.2         249.2
  6 3/4% Senior Notes due 2005..............................      348.1         348.1
  6.95% Senior Notes due 2008...............................      249.2         249.2
  7 3/8% Senior Notes due 2018..............................      248.0         248.0
  9 1/8% Senior Notes due 2003..............................      100.0         100.0
  9 1/2% Senior Notes due 2008..............................      300.0         300.0
  10 1/4% Senior Notes due 2003.............................      202.9         202.9
  Other debt                                                       18.8          18.8
                                                               --------      --------
          Total long-term debt, including current portion,
           and short-term obligations.......................    1,995.9       2,722.5
                                                               --------      --------
Minority interest...........................................       62.8          62.8
                                                               --------      --------
Mandatorily redeemable preferred stock(6)...................         --         221.0
                                                               --------      --------
Stockholders' equity:
  Common stock, par value $.01 per share....................        1.9           1.9
  Capital in excess of par..................................    1,061.5       1,061.5
  Warrants(7)...............................................         --          68.0
  Retained earnings(8)......................................      199.1         198.0
  Other.....................................................      (12.3)        (12.3)
                                                               --------      --------
Total stockholders' equity..................................    1,250.2       1,317.1
                                                               --------      --------
Total capitalization, including short-term obligations and
  current portion of long-term debt.........................   $3,308.9      $4,323.4
                                                               ========      ========
</TABLE>
 
- ---------------
 
   
(1) Approximately $99.4 million of cash and cash equivalents were restricted
    from our use outside of Arcade Drilling's activity. Of the $1,083.3 million
    as adjusted cash and cash equivalents, approximately $201.6 million was used
    to repay the portion of our revolving credit facility and short-term
    obligations which were drawn down subsequent to December 31, 1998. The as
    adjusted cash and cash equivalents has been reduced by $81.0 million to
    reflect the repayment of our portion of the interim construction facility
    related to the Deepwater Frontier.
    
 
                                       25
<PAGE>   29
 
(2) Represents our borrowings under the Deepwater Millennium interim
    construction facility, which was repaid out of the proceeds of the loans
    from RBF Finance Co.
 
(3) We repaid all outstanding amounts under our revolving credit facility with
    proceeds of the loans from RBF Finance Co.
 
(4) Comprised of ten tranches with interest rates of 11.02%.
 
(5) Comprised of ten tranches with interest rates of 11.395%.
 
(6) We have discounted the $300 million liquidation preference of the preferred
    stock by the preliminary estimated fair value of the warrants and a portion
    of the estimated offering costs.
 
(7) We have based the fair value of the warrants on our preliminary estimate,
    and we will finalize the fair value based on a third party appraisal.
 
(8) Retained earnings has been adjusted to reflect the write-off of deferred
    financing costs, less the effect of income taxes.
 
                                       26
<PAGE>   30
 
                            DESCRIPTION OF THE NOTES
 
     The outstanding notes were issued under an indenture dated as of December
22, 1998 (the "Indenture") between our company, as issuer, and Chase Bank of
Texas, National Association, as trustee (the "Trustee"). Upon the issuance of
the exchange notes the Indenture will be subject to and governed by the Trust
Indenture Act of 1939, as amended (the "Trust Indenture Act"). The following
description is a summary of the material provisions of the Indenture. It does
not restate these provisions in their entirety. We urge you to read the
Indenture because it, and not this description, define your rights as holders of
the exchange notes. You can find the definition of capitalized terms used in
this description without definition in the Indenture. As used in this section
only, references to "we," "us" and the "Company" refer to R&B Falcon Corporation
and exclude our Subsidiaries. Unless otherwise indicated, references to the
"Notes" shall include each series of the outstanding notes and the exchange
notes.
 
GENERAL
 
     The outstanding notes were, and the exchange notes will be, issued in two
series that will be limited to the following respective total principal amounts:
 
     - $100,000,000 of 9 1/8% Senior Notes due 2003 (the "5-Year Notes") and
 
     - $300,000,000 of 9 1/2% Senior Notes due 2008 (the "10-Year Notes").
 
     The Notes will mature on the following dates:
 
     - The 5-Year Notes will mature on December 15, 2003.
 
     - The 10-Year Notes will mature on December 15, 2008.
 
     If we consummate the exchange offer by June 1, 1999, each series of the
exchange notes will bear interest at their respective annual rate from December
22, 1998. If we consummate the exchange offer after June 1, 1999, interest on
the exchange notes will accrue at that rate from June 15, 1999. We will pay
interest semiannually on June 15 and December 15 of each year, beginning June
15, 1999. We will make each interest payment to the person in whose name the
Note is registered at the close of business on the June 1 or December 1 next
preceding such interest payment date. We will compute interest on the basis of a
360-day year of twelve 30-day months.
 
     We will make payments on the Notes (including principal, premium and
interest) by wire transfer of immediately available funds to the accounts
specified by the holders or, if no such account is specified, by mailing a check
to each holder's address, as it appears in the register of the Notes (the
"Register") maintained by the Registrar. You may transfer and exchange the Notes
at the office of the Registrar and any co-registrar. We will issue the Notes in
fully registered form, without coupons, in denominations of $1,000 and any
integral multiple thereof. We may require payment of a sum sufficient to cover
any transfer tax or other similar governmental charge payable in connection with
certain transfers and exchanges.
 
     We may redeem each series of Notes at our option, in whole or in part, at a
price equal to 100% of the principal amount, plus accrued and unpaid interest,
if any, to the applicable date of redemption plus the applicable Make-Whole
Premium (as defined) relating to the then prevailing applicable Treasury Yield
(as defined) and the remaining life of such series of the Notes. See
"-- Optional Redemption."
 
RANKING AND GUARANTEES
 
     The outstanding notes are, and the exchange notes will be, our senior
unsecured obligations and will rank equally in right of payment with all our
other existing and future senior unsecured indebtedness, and senior in right of
payment to all our existing and future indebtedness that is, by its terms,
expressly subordinated to the Notes.
 
                                       27
<PAGE>   31
 
     The outstanding notes are, and the exchange notes will be, effectively
subordinated to indebtedness and other liabilities of our Subsidiaries and to
our secured indebtedness. As of March 31, 1999, our Subsidiaries had
approximately $225.8 million of Indebtedness, in addition to other substantial
liabilities (primarily trade payables and accrued expenses). In addition, our
$800 million of borrowings from RBF Finance Co. is secured.
 
     If any of our Subsidiaries guarantee or become a co-obligor on any of our
Funded Indebtedness other than the Notes at any time after the date on which the
Notes were originally issued (including, without limitation, following any
release of such Subsidiary from its Guarantee as described below), then we will
cause the Notes to be equally and ratably guaranteed by such Subsidiary, and
such Subsidiary will become a Guarantor. Each of the Guarantees will be an
unsecured obligation of the Guarantor providing such Guarantee and will rank
equally with all existing and future unsecured indebtedness of such Guarantor
that is not, by its terms, expressly subordinated in right of payment to such
Guarantee.
 
     A Guarantor may be released from its Guarantee if such Guarantor is not a
guarantor of (or co-obligor on) any of our Funded Indebtedness other than the
Notes and other than Funded Indebtedness of the Company (1) that is subject to a
release provision similar to the release provision described in this paragraph
and (2) the related guarantee (or obligation) of which will be released
concurrently with the release of the Guarantee of such Guarantor pursuant to
such release provision, provided that no Default or Event of Default under the
Indenture has occurred and is continuing.
 
     The obligations of each Guarantor will be limited to the maximum amount as
will, after giving effect to all other contingent and fixed liabilities of such
Guarantor and after giving effect to any collections from or payments made by or
on behalf of any other Guarantor in respect of the obligations of such other
Guarantor under its Guarantee or pursuant to its contribution obligations under
the Indenture, result in the obligations of such Guarantor under its Guarantee
not constituting a fraudulent conveyance or fraudulent transfer under federal,
state or foreign law.
 
OPTIONAL REDEMPTION
 
     Each series of the outstanding notes are, and each series of the exchange
notes will be, redeemable, at our option, at any time in whole or from time to
time in part upon not less than 30 and not more than 60 days' notice mailed to
each holder of Notes of such series to be redeemed at the holder's address
appearing in the Register, on any date prior to maturity at a price equal to
100% of the principal amount thereof plus accrued and unpaid interest to the
Redemption Date (subject to the right of holders of record on the relevant
record date to receive interest due on an interest payment date that is on or
prior to the Redemption Date) plus the Make-Whole Premium applicable to such
series of Notes (the "Redemption Price"). In no event will the Redemption Price
ever be less than 100% of the principal amount of the Notes plus accrued and
unpaid interest to the Redemption Date.
 
     The amount of the Make-Whole Premium with respect to any Note (or portion
thereof) of any series to be redeemed will be equal to the excess, if any, of:
 
     (a) the sum of the present values, calculated as of the Redemption Date,
of:
 
          (1) each interest payment that, but for such redemption, would have
     been payable on the Note (or portion thereof) of such series being redeemed
     on each Interest Payment Date occurring after the Redemption Date
     (excluding any accrued and unpaid interest for the period prior to the
     Redemption Date); and
 
          (2) the principal amount that, but for such redemption, would have
     been payable at the final maturity of the Note (or portion thereof) of such
     series being redeemed,
 
over
 
     (b) the principal amount of the Note (or portion thereof) of such series
being redeemed.
 
                                       28
<PAGE>   32
 
     The present values of interest and principal payments referred to in clause
(a) above will be determined in accordance with generally accepted principles of
financial analysis. Such present values will be calculated by discounting the
amount of each payment of interest or principal from the date that each such
payment would have been payable, but for the redemption, to the Redemption Date
at a discount rate equal to the Treasury Yield (as defined below) plus:
 
     - 50 basis points in the case of the 5-Year Notes and
 
     - 50 basis points in the case of the 10-Year Notes.
 
     The Make-Whole Premium will be calculated by an independent investment
banking institution of national standing appointed by us; provided, that if we
fail to make such appointment at least 45 business days prior to the Redemption
Date, or if the institution so appointed is unwilling or unable to make such
calculation, such calculation will be made by Credit Suisse First Boston
Corporation or, if such firm is unwilling or unable to make such calculation, by
an independent investment banking institution of national standing appointed by
the Trustee (in any such case, an "Independent Investment Banker").
 
     For purposes of determining the Make-Whole Premium, "Treasury Yield" means
a rate of interest per annum equal to the weekly average yield to maturity of
United States Treasury Notes that have a constant maturity that corresponds to
the remaining term to maturity of the Notes, calculated to the nearest 1/12 of a
year (the "Remaining Term"). The Treasury Yield will be determined as of the
third business day immediately preceding the applicable Redemption Date.
 
     The weekly average yields of United States Treasury Notes will be
determined by reference to the most recent statistical release published by the
Federal Reserve Bank of New York and designated "H.15(519) Selected Interest
Rates" or any successor release (the "H.15 Statistical Release"). If the H.15
Statistical Release sets forth a weekly average yield for United States Treasury
Notes having a constant maturity that is the same as the Remaining Term, then
the Treasury Yield will be equal to such weekly average yield. In all other
cases, the Treasury Yield will be calculated by interpolation, on a
straight-line basis, between the weekly average yields on the United States
Treasury Notes that have a constant maturity closest to and greater than the
Remaining Term and the United States Treasury Notes that have a constant
maturity closest to and less than the Remaining Term (in each case as set forth
in the H.15 Statistical Release). Any weekly average yields so calculated by
interpolation will be rounded to the nearest 1/100th of 1%, with any figure of
1/200 of 1% or above being rounded upward. If weekly average yields for United
States Treasury Notes are not available in the H.15 Statistical Release or
otherwise, then the Treasury Yield will be calculated by interpolation of
comparable rates selected by the Independent Investment Banker.
 
     If less than all of the Notes of any series are to be redeemed, the Trustee
will select the Notes of such series to be redeemed by such method as the
Trustee shall deem fair and appropriate. The Trustee may select for redemption
Notes and portions of Notes of such series in amounts of $1,000 or whole
multiples of $1,000.
 
     The Notes will not be entitled to the benefit of any sinking fund or other
mandatory redemption provisions.
 
CERTAIN COVENANTS
 
  Covenant Termination
 
     In the event that at any time (a) the ratings assigned to the Notes by both
of the Rating Agencies are Investment Grade Ratings and (b) no Default has
occurred and is continuing under the Indenture, the Company and its Restricted
Subsidiaries will no longer be subject to the provisions of the Indenture
described below under "Limitation on Indebtedness" and "Limitation on Restricted
Payments" (together, the "Suspended Covenants"). In the event that the Company
is not subject to the Suspended Covenants for any period of time as a result of
the preceding sentence and, subsequently, one or both Rating Agencies withdraws
its ratings or downgrades the ratings assigned to the Notes below the required
 
                                       29
<PAGE>   33
 
Investment Grade Ratings, then the Company and its Restricted Subsidiaries will
again be subject to the Suspended Covenants and compliance with the Suspended
Covenants with respect to Restricted Payments made after the time of such
withdrawal or downgrade will be calculated in accordance with the terms of the
"Limitation on Restricted Payments" covenant as if such covenant had been in
effect during the entire period of time from the date of the Indenture.
 
  Limitation on Indebtedness
 
     (a) The Company will not, and will not permit any Restricted Subsidiary to,
Incur, directly or indirectly, any Indebtedness; provided, however, the Company
may Incur Indebtedness if the pro forma Consolidated EBITDA Coverage Ratio at
the date of such Incurrence exceeds 2.25 to 1.0.
 
     (b) Notwithstanding clause (a), the following Indebtedness may be Incurred:
 
          (1) Indebtedness of the Company pursuant to one or more Credit
     Facilities (and the guarantee of such Indebtedness by Restricted
     Subsidiaries); provided, however, that the aggregate amount of such
     Indebtedness outstanding at such time shall not exceed $350 million;
 
          (2) Indebtedness of the Company or a Restricted Subsidiary owed to and
     held by a Restricted Subsidiary or Indebtedness of a Restricted Subsidiary
     owed to and held by the Company; provided, however, that any subsequent
     issuance or transfer of any Capital Stock that results in such Restricted
     Subsidiary to whom Indebtedness is owed ceasing to be a Restricted
     Subsidiary or any transfer of such Indebtedness (other than to the Company
     or another Restricted Subsidiary) shall be deemed, in each case, to
     constitute the Incurrence of such Indebtedness;
 
          (3) The Notes and Indebtedness Incurred in exchange for, or the
     proceeds of which are used to refund or refinance, any Indebtedness
     permitted by this clause (3); provided, however, that (i) the principal
     amount of the Indebtedness so Incurred shall not exceed the principal
     amount of the Indebtedness so exchanged, refunded or refinanced (plus the
     amount of reasonable fees and expenses incurred in connection therewith,
     including any premium or defeasance costs) and (ii) the Indebtedness so
     Incurred (A) shall not mature prior to the Stated Maturity of the
     Indebtedness so exchanged, refunded or refinanced and (B) shall have an
     Average Life equal to or greater than the remaining Average Life of the
     Indebtedness so exchanged, refunded or refinanced;
 
          (4) Indebtedness of the Company or any Restricted Subsidiary (other
     than Indebtedness described in clause (1), (2) or (3) above) (x)
     outstanding on the Issue Date (including without limitation, the 10 1/4%
     Senior Notes due 2003 of Cliffs Drilling Company) or Incurred pursuant to
     agreements as in effect on the Issue Date and (y) Indebtedness Incurred in
     exchange for, or the proceeds of which are used to refund or refinance, any
     Indebtedness permitted by this clause (4) or permitted by clause (a) above;
     provided, however, that (i) the principal amount of the Indebtedness so
     Incurred shall not exceed the principal amount of the Indebtedness so
     exchanged, refunded or refinanced (plus the amount of reasonable fees and
     expenses incurred in connection therewith, including any premium or
     defeasance costs); and (ii) the Indebtedness so Incurred (A) shall not
     mature prior to the Stated Maturity of the Indebtedness so exchanged,
     refunded or refinanced and (B) shall have an Average Life equal to or
     greater than the remaining Average Life of the Indebtedness so exchanged,
     refunded or refinanced;
 
          (5) Indebtedness of the Company or any Restricted Subsidiary
     consisting of guarantees in connection with any synthetic lease obligations
     of Persons Incurred to finance the construction or upgrade of the drillship
     Deepwater Frontier and the drillship Pathfinder pursuant to agreements
     governing such obligations;
 
          (6) Acquired Indebtedness of any Restricted Subsidiary in an aggregate
     amount not to exceed $300 million, provided that the Company on a pro forma
     basis could Incur $1.00 of additional Indebtedness pursuant to paragraph
     (a) of this covenant;
 
                                       30
<PAGE>   34
 
          (7) Indebtedness of the Company or any Restricted Subsidiary
     consisting of guarantees, indemnities or obligations in respect of purchase
     price adjustments in connection with the acquisition or disposition of
     assets, including, without limitation, shares of Capital Stock;
 
          (8) The Incurrence by the Company's Unrestricted Subsidiaries of
     Non-Recourse Indebtedness; provided, however, that if any such Indebtedness
     ceases to be Non-Recourse Indebtedness of any Unrestricted Subsidiary,
     subject to the definition of "Unrestricted Subsidiary", such event shall be
     deemed to constitute an incurrence of Indebtedness by a Restricted
     Subsidiary of the Company that was not permitted by this clause (8);
 
          (9) Obligations of the Company or a Restricted Subsidiary under
     performance or surety bonds relating to building contracts for the
     construction of drilling rigs, drillships or similar vessels or contracts
     for the installation of related equipment;
 
          (10) Hedging Obligations; and
 
          (11) Indebtedness of the Company or any Restricted Subsidiary in an
     aggregate principal amount which, together with all other Indebtedness of
     the Company then outstanding (other than Indebtedness permitted by clauses
     (1) through (10) of this paragraph (b) or paragraph (a)) does not exceed
     $50 million.
 
     (c) Notwithstanding clauses (a) and (b), the Company shall not issue any
Indebtedness if the proceeds thereof are used, directly or indirectly, to repay,
prepay, redeem, defease, retire, refund or refinance any Subordinated
Obligations unless such Indebtedness shall be subordinated to the Notes to at
least the same extent as such Subordinated Obligations.
 
  Limitation on Liens
 
     The Company will not, and will not permit any Restricted Subsidiary of the
Company to, issue, assume or guarantee any Indebtedness for borrowed money
secured by any Lien on any property or asset now owned or hereafter acquired by
the Company or such Restricted Subsidiary without making effective provision
whereby any and all Notes then or thereafter outstanding will be secured by a
Lien equally and ratably with any and all other obligations thereby secured for
so long as any such obligations shall be so secured.
 
     The foregoing restriction does not, however, apply to:
 
          (1) Liens existing on the date on which the Notes are originally
     issued or provided for under the terms of agreements existing on such date;
 
          (2) Liens on property securing (a) all or any portion of the cost of
     acquiring, constructing, altering, improving or repairing any property or
     assets, real or personal, or improvements used or to be used in connection
     with such property or (b) Indebtedness incurred by the Company or any
     Restricted Subsidiary of the Company prior to or within one year after the
     later of the acquisition, the completion of construction, alteration,
     improvement or repair or the commencement of commercial operation thereof,
     which Indebtedness is incurred for the purpose of financing all or any part
     of the purchase price thereof or construction or improvements thereon;
 
          (3) Liens securing Indebtedness owed by a Restricted Subsidiary of the
     Company to the Company or to any other Restricted Subsidiary of the
     Company;
 
          (4) Liens on property existing at the time of acquisition of such
     property by the Company or any of its Restricted Subsidiaries or Liens on
     the property of any Person existing at the time such Person becomes a
     Restricted Subsidiary of the Company and, in any case, not incurred as a
     result of (or in connection with or in anticipation of) the acquisition of
     such property or such Person becoming a Restricted Subsidiary of the
     Company, provided that such Liens do not extend to or cover any property or
     assets of the Company or any of its Restricted Subsidiaries other than the
     property encumbered at the time such property is acquired by the Company or
     any of its Restricted
                                       31
<PAGE>   35
 
     Subsidiaries or such Person becomes a Restricted Subsidiary of the Company
     and, in any case, do not secure Indebtedness with a principal amount in
     excess of the principal amount outstanding at such time;
 
          (5) Liens on any property securing (a) Indebtedness incurred in
     connection with the construction, installation or financing of pollution
     control or abatement facilities or other forms of industrial revenue bond
     financing or (b) Indebtedness issued or Guaranteed by the United States or
     any State thereof or any department, agency or instrumentality of either;
 
          (6) any Lien extending, renewing or replacing (or successive
     extensions, renewals or replacements of) any Lien of any type permitted
     under clause (1), (2), (4) or (5) above, provided that such Lien extends to
     or covers only the property that is subject to the Lien being extended,
     renewed or replaced and that the principal amount of the Indebtedness
     secured thereby shall not exceed the principal amount of Indebtedness so
     secured at the time of such extension, renewal or replacement: or
 
          (7) Liens (exclusive of any Lien of any type otherwise permitted under
     clauses (1) through (6) above) securing Indebtedness for borrowed money of
     the Company or any Restricted Subsidiary of the Company in an aggregate
     principal amount which, together with the aggregate amount of Attributable
     Indebtedness deemed to be outstanding in respect of all Sale/Leaseback
     Transactions entered into pursuant to clause (1) of the covenant described
     under "Limitation on Sale/Leaseback Transactions" below (exclusive of any
     such Sale/Leaseback Transactions otherwise permitted under clauses (1)
     through (6) above), does not at the time such Indebtedness is incurred
     exceed 15% of the Consolidated Net Worth of the Company (as shown in the
     most recent audited consolidated balance sheet of the Company and its
     Restricted Subsidiaries).
 
  Limitation on Restricted Payments
 
     (a) The Company will not, and will not permit any Restricted Subsidiary,
directly or indirectly, to:
 
          (1) declare or pay any dividend or make any distribution on or in
     respect of its Capital Stock (including any payment in connection with any
     merger or consolidation involving the Company) or to the direct or indirect
     holders of its Capital Stock, except:
 
             (A) dividends or distributions payable solely in its
        Non-Convertible Capital Stock or in options, warrants or other rights to
        purchase its Non-Convertible Capital Stock,
 
             (B) dividends or distributions payable to the Company or a
        Restricted Subsidiary, and
 
             (C) pro rata dividends or distributions on the Capital Stock of a
        Restricted Subsidiary held by minority stockholders (including, without
        limitation, minority stockholders of Arcade Drilling AS, a Norwegian
        corporation).
 
          (2) purchase, redeem or otherwise acquire or retire for value any
     Capital Stock of the Company or of any direct or indirect parent of the
     Company, or any Restricted Subsidiary (except Capital Stock held by the
     Company or a Restricted Subsidiary);
 
          (3) purchase, repurchase, redeem, defease or otherwise acquire or
     retire for value, prior to scheduled maturity, scheduled repayment or
     scheduled sinking fund payment, any Subordinated Obligations (other than
     the purchase, repurchase or other acquisition of Subordinated Obligations
     purchased in anticipation of satisfying a sinking fund obligation,
     principal installment or final maturity, in each case due within one year
     of the date of acquisition); or
 
          (4) make any Investment other than a Permitted Investment (any such
     dividend, distribution, purchase, redemption, repurchase, defeasance, other
     acquisition, retirement or Investment being herein referred to as a
     "Restricted Payment"),
 
                                       32
<PAGE>   36
 
if at the time the Company or such Restricted Subsidiary makes such Restricted
Payment:
 
          (i) a Default shall have occurred and be continuing (or would result
     therefrom); or
 
          (ii) the Company would not be permitted to Incur an additional $1.00
     of Indebtedness pursuant to paragraph (a) under " -- Limitation on
     Indebtedness" after giving pro forma effect to such Restricted Payment; or
 
          (iii) the aggregate amount of such Restricted Payment and all other
     Restricted Payments since the date on which the Notes were originally
     issued would exceed the sum of:
 
             (A) 50% of the Consolidated Net Income accrued during the period
        (treated as one accounting period) from the beginning of the fiscal
        quarter during which the Notes were originally issued to the end of the
        most recent fiscal quarter ending at least 45 days prior to the date of
        such Restricted Payment (or, in case such Consolidated Net Income shall
        be a deficit, minus 100% of such deficit);
 
             (B) 100% of the aggregate net proceeds (including the fair market
        value of non-cash proceeds, which shall be determined in good faith by
        the Board of Directors of the Company) received by the Company from the
        issue or sale of its Capital Stock (other than Redeemable Stock or
        Exchangeable Stock) subsequent to the Issue Date (other than an issuance
        or sale to a Restricted Subsidiary or an employee stock ownership plan
        or similar trust);
 
             (C) the amount by which Indebtedness of the Company is reduced on
        the Company's balance sheet upon the conversion or exchange (other than
        by a Restricted Subsidiary) subsequent to the Incurrence of any
        Indebtedness of the Company convertible or exchangeable for Capital
        Stock (other than Redeemable Stock or Exchangeable Stock) of the Company
        (less the amount of any cash, or other property, distributed by the
        Company upon such conversion or exchange);
 
             (D) to the extent not otherwise included in Consolidated Net
        Income, the net reduction in Investments in Unrestricted Subsidiaries
        resulting from dividends, repayments of loans or advances, or other
        transfers of assets, in each case to the Company or any Restricted
        Subsidiary after the Issue Date from any Unrestricted Subsidiary or from
        the redesignation of an Unrestricted Subsidiary as a Restricted
        Subsidiary (valued in each case as provided in the definition of
        Investment), not to exceed in the case of any Restricted Subsidiary the
        total amount of Investments (other than Permitted Investments) in such
        Restricted Subsidiary made by the Company and its Restricted
        Subsidiaries in such Unrestricted Subsidiary after the Issue Date; and
 
             (E) $20 million.
 
     (b) The provisions of Section (a) shall not prohibit:
 
          (1) Any purchase or redemption of Capital Stock or Subordinated
     Obligations of the Company made by exchange for, or out of the proceeds of
     the substantially concurrent sale of, Capital Stock of the Company (other
     than Redeemable Stock or Exchangeable Stock and other than Capital Stock
     issued or sold to a Restricted Subsidiary or an employee stock ownership
     plan); provided, however, that (i) such purchase or redemption shall be
     excluded in the calculation of the amount of Restricted Payments and (ii)
     the Net Cash Proceeds from such sale shall be excluded from clauses
     (4)(iii)(B) and (4)(iii)(C) of Section (a);
 
          (2) Any purchase or redemption of Subordinated Obligations of the
     Company made by exchange for, or out of the proceeds of the substantially
     concurrent sale of, Indebtedness of the Company which is permitted to be
     issued pursuant to the provisions of "-- Limitation on Indebtedness" above;
     provided, however, that such purchase or redemption shall be excluded in
     the calculation of the amount of Restricted Payments; and
 
                                       33
<PAGE>   37
 
          (3) Dividends paid within 60 days after the date of declaration if at
     such date of declaration such dividend would have complied with this
     provision; provided, however, that at the time of payment of such dividend,
     no other Default shall have occurred and be continuing (or would result
     therefrom); provided further, however, that such dividend shall be included
     in the calculation of the amount of Restricted Payments.
 
  Limitation on Sale/Leaseback Transactions
 
     The Company will not, and will not permit any Restricted Subsidiary to,
enter into any Sale/ Leaseback Transaction with any Person (other than the
Company or a Restricted Subsidiary) unless:
 
          (1) the Company or such Restricted Subsidiary would be entitled to
     incur Indebtedness, in a principal amount equal to the Attributable
     Indebtedness with respect to such Sale/Leaseback Transaction, secured by a
     Lien on the property subject to such Sale/Leaseback Transaction pursuant to
     the covenant described under "Limitation on Liens" above without equally
     and ratably securing the Notes pursuant to such covenant;
 
          (2) after the date on which the Notes are originally issued and within
     a period commencing six months prior to the consummation of such
     Sale/Leaseback Transaction and ending six months after the consummation
     thereof, the Company or such Restricted Subsidiary shall have expended for
     property used or to be used in the ordinary course of business of the
     Company and its Restricted Subsidiaries an amount equal to all or a portion
     of the net proceeds of such Sale/Leaseback Transaction and the Company
     shall have elected to designate such amount as a credit against such
     Sale/Leaseback Transaction (with any such amount not being so designated to
     be applied as set forth in clause (3) below), or
 
          (3) the Company, during the 12-month period after the effective date
     of such Sale/Leaseback Transaction, shall have applied to the voluntary
     defeasance or retirement of Notes or any Pari Passu Indebtedness an amount
     equal to the greater of the net proceeds of the sale or transfer of the
     property leased in such Sale/Leaseback Transaction and the fair value, as
     determined by the Board of Directors of the Company, of such property at
     the time of entering into such Sale/Leaseback Transaction (in either case
     adjusted to reflect the remaining term of the lease and any amount expended
     by the Company as set forth in clause (2) above), less an amount equal to
     the principal amount of Notes and Pari Passu Indebtedness voluntarily
     defeased or retired by the Company within such 12-month period and not
     designated as a credit against any other Sale/Leaseback Transaction entered
     into by the Company or any Restricted Subsidiary during such period.
 
  Limitations on Mergers and Consolidations
 
     Neither the Company nor any Guarantor (other than any Guarantor that shall
have been released from its Guarantee pursuant to the provisions of the
Indenture) will consolidate with or merge into any Person, or sell, lease,
convey, transfer or otherwise dispose of all or substantially all of its assets
to any Person, unless:
 
          (1) the Person formed by or surviving such consolidation or merger (if
     other than the Company or such Guarantor, as the case may be), or to which
     such sale, lease, conveyance, transfer or other disposition shall be made
     (collectively, the "Successor"), is a corporation organized and existing
     under the laws of the United States or any State thereof or the District of
     Columbia (or, alternatively, in the case of a Guarantor organized under the
     laws of a jurisdiction outside the United States, a corporation organized
     and existing under the laws of such foreign jurisdiction), and the
     Successor assumes by supplemental indenture in a form satisfactory to the
     Trustee all of the obligations of the Company or such Guarantor, as the
     case may be, under the Indenture and under the Notes;
 
          (2) immediately after giving effect to such transaction, no Default or
     Event of Default shall have occurred and be continuing; and
 
                                       34
<PAGE>   38
 
          (3) in the case of the Company, immediately after giving effect to
     such transaction, the resulting, surviving or transferee Person would be
     able to incur at least $1.00 of Indebtedness pursuant to clause (a) of the
     "Limitation on Indebtedness" covenant.
 
  SEC Reports
 
     Notwithstanding that the Company may not be required to remain subject to
the reporting requirements of Section 13 or 15(d) of the Exchange Act, the
Company shall file with the SEC and provide the Trustee and Noteholders with
such annual reports and such information, documents and other reports specified
in Sections 13 and 15(d) of the Exchange Act.
 
     In addition, whether or not required by the rules and regulations of the
SEC, the Company will file a copy of all such information and reports with the
SEC for public availability (unless the SEC will not accept such filing). In
addition, the Company shall furnish to the Noteholders and to prospective
investors, upon the requests of such Noteholders, any information required to be
delivered pursuant to Rule 144A(d)(4) under the Securities Act so long as the
Notes are not freely transferable under the Securities Act.
 
DEFINITIONS
 
     The following is a summary of some of the defined terms used in the
Indenture. Reference is made to the Indenture for the full definition of all
these terms and for the definitions of other capitalized terms used in this
description of the Notes and not defined below.
 
     "Acquired Indebtedness" means, with respect to any specified Person:
 
          (1) Indebtedness of any other Person existing at the time such other
     Person is merged with or into or became a Subsidiary of such specified
     Person, whether or not such Indebtedness is incurred in connection with, or
     in contemplation of, such other Person merging with or into, or becoming a
     Subsidiary of, such specified Person; and
 
          (2) Indebtedness secured by a Lien encumbering any asset acquired by
     such specified Person.
 
     "Attributable Indebtedness," when used with respect to any Sale/Leaseback
Transaction, means, as at the time of determination, the present value
(discounted at the rate set forth or implicit in the terms of the lease included
in such transaction) of the total obligations of the lessee for rental payments
(other than amounts required to be paid on account of property taxes,
maintenance, repairs, insurance, assessments, utilities, operating and labor
costs and other items which do not constitute payments for property rights)
during the remaining term of the lease included in such Sale/Leaseback
Transaction (including any period for which such lease has been extended).
 
     "Capital Stock" means, with respect to any Person, any and all shares,
interests, rights to purchase, warrants or options (whether or not currently
exercisable), participations or other equivalents of or interests in (however
designated) the equity (which includes, but is not limited to, common stock,
preferred stock and partnership and joint venture interests) of such Person
(excluding any debt securities that are convertible into, or exchangeable for,
such equity).
 
     "Capitalized Lease Obligation" of any Person means any obligation of such
Person to pay rent or other amounts under a lease of property, real or personal,
that is required to be capitalized for financial reporting purposes in
accordance with generally accepted accounting principles and the amount of such
obligation shall be the capitalized amount thereof determined in accordance with
generally accepted accounting principles.
 
     "Consolidated EBITDA Coverage Ratio" as of any date of determination means
the ratio of (a) the aggregate amount of EBITDA for the period of the most
recent four consecutive fiscal quarters ending at
 
                                       35
<PAGE>   39
 
least 45 days prior to the date of such determination to (b) Consolidated
Interest Expense for such four fiscal quarters; provided, however, that:
 
          (1) if the Company or any Restricted Subsidiary has Incurred any
     Indebtedness since the beginning of such period that remains outstanding or
     if the transaction giving rise to the need to calculate the Consolidated
     EBITDA Coverage Ratio is an issuance of Indebtedness, or both, EBITDA and
     Consolidated Interest Expense for such period shall be calculated after
     giving effect on a pro forma basis to such Indebtedness as if such
     Indebtedness had been issued on the first day of such period and the
     discharge of any other Indebtedness repaid, repurchased, defeased or
     otherwise discharged with the proceeds of such new Indebtedness as if such
     discharge had occurred on the first day of such period,
 
          (2) if since the beginning of such period the Company or any
     Restricted Subsidiary shall have made any asset disposition, the EBITDA for
     such period shall be reduced by an amount equal to the EBITDA (if positive)
     directly attributable to the assets which are the subject of such asset
     disposition for such period, or increased by an amount equal to the EBITDA
     (if negative), directly attributable thereto for such period, and
     Consolidated Interest Expense for such period shall be reduced by an amount
     equal to the Consolidated Interest Expense directly attributable to any
     Indebtedness of the Company or any Restricted Subsidiary repaid,
     repurchased, defeased or otherwise discharged with respect to the Company
     and its continuing Subsidiaries in connection with such asset dispositions
     for such period (or, if the Capital Stock of any Restricted Subsidiary is
     sold, the Consolidated Interest Expense for such period directly
     attributable to the Indebtedness of such Restricted Subsidiary to the
     extent the Company and its continuing Subsidiaries are no longer liable for
     such Indebtedness after such sale),
 
          (3) if since the beginning of such period the Company or any
     Restricted Subsidiary (by merger or otherwise) shall have made an
     Investment in any Restricted Subsidiary (or any Person which becomes a
     Restricted Subsidiary) or an acquisition of assets, including any
     acquisition of assets occurring in connection with a transaction causing a
     calculation to be made hereunder, which constitutes all or substantially
     all of an operating unit of a business, EBITDA and Consolidated Interest
     Expense for such period shall be calculated after giving pro forma effect
     thereto (including the issuance of any Indebtedness) as if such Investment
     or acquisition occurred on the first day of such period, and
 
          (4) if since the beginning of such period any Person (that
     subsequently became a Restricted Subsidiary or was merged with or into the
     Company or any Restricted Subsidiary since the beginning of such period)
     shall have made any asset disposition or any Investment that would have
     required an adjustment pursuant to clause (2) or (3) above if made by the
     Company or a Restricted Subsidiary during such period, EBITDA and
     Consolidated Interest Expense for such period shall be calculated after
     giving pro forma effect thereto as if such asset disposition or Investment
     occurred on the first day of such period.
 
     For purposes of this definition, whenever pro forma effect is to be given
to an acquisition of assets, the amount of income or earnings relating thereto,
and the amount of Consolidated Interest Expense associated with any Indebtedness
issued in connection therewith, the pro forma calculations shall be determined
in good faith by a responsible financial or accounting Officer of the Company.
If any Indebtedness bears a floating rate of interest and is being given pro
forma effect, the interest of such Indebtedness shall be calculated as if the
rate in effect on the date of determination had been the applicable rate for the
entire period (taking into account any Interest Rate Protection Agreement
applicable to such Indebtedness if such Interest Rate Protection Agreement has a
remaining term in excess of 12 months).
 
     For purposes of this definition, in the case of the acquisition since the
beginning of such period of a drilling rig or drillship (or of a Restricted
Subsidiary owning same) by the Company or by a Restricted Subsidiary pursuant to
a binding purchase agreement or the delivery since the beginning of such period
of
 
                                       36
<PAGE>   40
 
a drilling rig or drillship to the Company or a Restricted Subsidiary pursuant
to a binding construction contract, if such drilling rig or drillship has been
subject for at least one full fiscal quarter to a binding drilling contract
constituting a Qualifying Contract, pro forma effect shall be given to the
earnings (losses) of such drilling rig or drillship as if such drilling rig or
drillship were acquired on the first day of such period, by basing such earnings
(losses) on the annualized (x) historical revenues actually earned from such
Qualifying Contract and (y) actual expenses related thereto, in each case for
each quarter during such period in which the Qualifying Contract was in effect.
 
     "Consolidated Interest Expense" means, for any period, the total interest
expense of the Company and its consolidated Restricted Subsidiaries, plus, to
the extent not included in such interest expense:
 
          (1) interest expense attributable to Capitalized Lease Obligations,
 
          (2) amortization of debt discount and debt issuance cost,
 
          (3) capitalized interest,
 
          (4) non-cash interest payments,
 
          (5) commissions, discounts and other fees and charges owed with
     respect to letters of credit and bankers' acceptance financing,
 
          (6) net costs under Interest Rate Protection Agreements (including
     amortization of fees),
 
          (7) dividends in respect of any Redeemable Stock held by Persons other
     than the Company or a Restricted Subsidiary,
 
          (8) interest expense attributable to deferred payment obligations, and
 
          (9) interest expense on Indebtedness of another Person to the extent
     that such Indebtedness is guaranteed by the Company or a Restricted
     Subsidiary.
 
     "Consolidated Net Income" means, for any period, the net income of the
Company and its consolidated subsidiaries; provided, however, that there shall
not be included in such Consolidated Net Income:
 
     (a) any net income of any Person if such Person is not a Restricted
Subsidiary, except that (1) the Company's equity in the net income of any such
Person for such period shall be included in such Consolidated Net Income up to
the aggregate amount of cash actually distributed by such Person during such
period to the Company or a Restricted Subsidiary as a dividend or other
distribution (subject, in the case of a dividend or other distribution to a
Restricted Subsidiary, to the limitations contained in clause (c) below) and (2)
the Company's equity in a net loss of any such Person for such period shall be
included in determining such Consolidated Net Income;
 
     (b) any net income of any Person acquired by the Company or a Restricted
Subsidiary in a pooling of interests transaction for any period prior to the
date of such acquisition;
 
     (c) any net income of any Restricted Subsidiary to the extent such
Restricted Subsidiary is subject to restrictions, directly or indirectly, on the
payment of dividends or the making of distributions by such Restricted
Subsidiary, directly or indirectly, to the Company, except that (1) the net
income of Cliffs Drilling Company shall be included notwithstanding the
foregoing, (2) the net income of a Restricted Subsidiary shall be included to
the extent such net income could be paid to the Company or a Restricted
Subsidiary by loans, advances, intercompany transfers, principal repayments or
otherwise, (3) the Company's equity in the net income of any such Restricted
Subsidiary for such period shall be included in such Consolidated Net Income up
to the aggregate amount of cash actually distributed by such Restricted
Subsidiary during such period to the Company or another Restricted Subsidiary as
a dividend or other distribution (subject, in the case of a dividend or other
distribution to another Restricted Subsidiary, to the limitation contained in
this clause) and (4) the Company's equity in a net loss of any such Restricted
Subsidiary for such period shall be included in determining such Consolidated
Net Income;
 
                                       37
<PAGE>   41
 
     (d) any gain (but not loss) realized upon the sale or other disposition of
any property, plant or equipment of the Company or its consolidated subsidiaries
(including pursuant to any sale-and-leaseback arrangement) which is not sold or
otherwise disposed of in the ordinary course of business and any gain (but not
loss) realized upon the sale or other disposition of any Capital Stock of any
Person;
 
     (e) extraordinary, unusual or nonrecurring charges;
 
     (f) charges relating to the extinguishment of debt obligations of Falcon
Drilling Company; and
 
     (g) the cumulative effect of a change in accounting principles;
 
     "Consolidated Net Worth" of the Company means the consolidated
stockholders' equity of the Company and our Subsidiaries, as determined in
accordance with generally accepted accounting principles.
 
     "Credit Facilities" means, with respect to the Company or any Restricted
Subsidiary, one or more debt facilities or commercial paper facilities, in each
case with banks or other institutional lenders providing for revolving credit
loans, term loans, receivables financing (including through the sale of
receivables to such lenders or to special purpose entities formed to borrow from
such lenders against such receivables) or letters of credit, in each case, as
amended, restated, modified, renewed, refunded, replaced or refinanced in whole
or in part from time to time.
 
     "EBITDA" for any period means the Consolidated Net Income for such period,
plus the following (but without duplication) to the extent deducted in
calculating such Consolidated Net Income for such period: (a) income tax
expense, (b) Consolidated Interest Expense, (c) depreciation expense and (d)
amortization expense.
 
     "Exchangeable Stock" means any Capital Stock which is exchangeable or
convertible into another security (other than Capital Stock of the Company which
is neither Exchangeable Stock nor Redeemable Stock).
 
     "Funded Indebtedness" means all Indebtedness (including Indebtedness
incurred under any revolving credit, letter of credit or working capital
facility) that matures by its terms, or that is renewable at the option of any
obligor thereon to a date, more than one year after the date on which such
Indebtedness is originally incurred.
 
     "Hedging Obligations" of any Person means the net obligation (not the
notional amount) of such Person pursuant to any interest rate swap agreement,
foreign currency exchange agreement, interest rate collar agreement, option or
futures contract or other similar agreement or arrangement relating to interest
rates or foreign exchange rates.
 
     "Incur" means issue, assume, guarantee, incur or otherwise become liable
for; provided, however, that any Indebtedness or Capital stock of a Person
existing at the time such Person becomes a Subsidiary (whether by merger,
consolidation, acquisition or otherwise) shall be deemed to be Incurred by such
Subsidiary at the time it becomes a Subsidiary. The term "Incurrence" when used
as a noun shall have a correlative meaning.
 
     "Indebtedness" of any Person at any date means, without duplication:
 
          (1) all indebtedness of such Person for borrowed money (whether or not
     the recourse of the lender is to the whole of the assets of such Person or
     only to a portion thereof),
 
          (2) all obligations of such Person evidenced by bonds, debentures,
     notes or other similar instruments,
 
          (3) all obligations of such Person in respect of letters of credit or
     other similar instruments (or reimbursement obligations with respect
     thereto), other than standby letters of credit and performance bonds issued
     by such Person in the ordinary course of business, to the extent not drawn
     or, to the extent drawn, if such drawing is reimbursed not later than the
     third Business Day following demand for reimbursement,
 
                                       38
<PAGE>   42
 
          (4) all obligations of such Person to pay the deferred and unpaid
     purchase price of property or services, except trade payables and accrued
     expenses incurred in the ordinary course of business,
 
          (5) all Capitalized Lease Obligations of such Person,
 
          (6) all Indebtedness of others secured by a Lien on any asset of such
     Person, whether or not such Indebtedness is assumed by such Person, to the
     extent of the fair market value of all the assets of such Person subject to
     such Lien,
 
          (7) all Indebtedness of others guaranteed by such Person to the extent
     of such guarantee,
 
          (8) Redeemable Stock, valued at its maximum fixed repurchase price,
     and
 
          (9) all Hedging Obligations of such Person.
 
     "Interest Rate Protection Agreement" means any interest rate swap
agreement, interest rate cap agreement or other financial agreement or
arrangement designed to protect the Company or any Restricted Subsidiary against
fluctuations in interest rates.
 
     "Investment" in any Person means any direct or indirect advance, loan
(other than advances to customers in the ordinary course of business that are
recorded as accounts receivable on the balance sheet of the lender) or other
extensions of credit (including by way of guarantee or similar arrangement) or
capital contribution to (by means of any transfer of cash or other property to
others or any payment for property or services for the account or use of
others), or any purchase or acquisition of Capital Stock, Indebtedness or other
similar instruments issued by such Person. For purposes of the definition of
"Unrestricted Subsidiary," the definition of "Restricted Payment" and the
covenant described under the "Limitation on Restricted Payments" covenant, (i)
"Investment" shall include the portion (proportionate to the Company's equity
interest in such Subsidiary) of the fair market value of the net assets of any
Subsidiary of the Company at the time that such Subsidiary is designated an
Unrestricted Subsidiary; provided, however, that upon a redesignation of such
Subsidiary as a Restricted Subsidiary, the Company shall be deemed to continue
to have a permanent "Investment" in such Subsidiary at the time of such
redesignation less (y) the portion (proportionate to the Company's equity
interest in such Subsidiary) of the fair market value of the net assets of such
Subsidiary at the time of such redesignation; and (ii) any property transferred
to or from an Unrestricted Subsidiary shall be valued at its fair market value
at the time of such transfer, in each case as determined in good faith by the
Board of Directors.
 
     "Investment Grade" means BBB- or above, in the case of S&P (or its
equivalent under any successor Rating Categories of S&P), Baa3 or above, in the
case of Moody's (or its equivalent under any successor Rating Categories of
Moody's), and the equivalent in respect of the Rating Categories of any Rating
Agencies substituted for S&P or Moody's.
 
     "Issue Date" means the date of original issuance of the Notes.
 
     "Lien" means, with respect to any asset, any mortgage, lien, pledge,
charge, security interest or encumbrance of any kind in respect of such asset,
whether or not filed, recorded or otherwise perfected under applicable law. For
the purposes of the Indenture, we or any Subsidiary of ours shall be deemed to
own subject to a Lien any asset which it has acquired or holds subject to the
interest of a vendor or lessor under any conditional sale agreement, Capitalized
Lease Obligation or other title retention agreement relating to such asset.
 
     "Moody's" means Moody's Investors Service, Inc. and its successors.
 
     "Non-Convertible Capital Stock" means, with respect to any corporation, any
non-convertible Capital Stock of such corporation and any Capital Stock of such
corporation convertible solely into non-convertible common stock of such
corporation; provided, however, that Non-Convertible Capital Stock shall not
include any Redeemable Stock or Exchangeable Stock.
 
                                       39
<PAGE>   43
 
     "Non-Recourse Indebtedness" means Indebtedness or that portion of
Indebtedness of an Unrestricted Subsidiary as to which neither the Company or
any Restricted Subsidiary:
 
          (1) provides credit support including any undertaking, agreement or
     instrument which would constitute Indebtedness; or
 
          (2) is directly or indirectly liable for such Indebtedness.
 
     "Pari Passu Indebtedness" means any Indebtedness of ours, whether
outstanding on the date on which the Notes are originally issued or thereafter
created, incurred or assumed, unless, in the case of any particular
Indebtedness, the instrument creating or evidencing the same or pursuant to
which the same is outstanding expressly provides that such Indebtedness shall be
subordinated in right of payment to the Notes.
 
     "Permitted Investments" means:
 
     (a) certificates of deposit, bankers acceptances, time deposits,
Eurocurrency deposits and similar types of Investments routinely offered by
commercial banks with final maturities of one year or less issued by commercial
banks having capital and surplus in excess of $100 million;
 
     (b) commercial paper issued by any corporation, if such commercial paper
has credit ratings of at least "A-1" by S&P and at least "P-1" by Moody's;
 
     (c) U.S. Government Obligations with a maturity of four years or less;
 
     (d) repurchase obligations for instruments of the type described in clause
(c);
 
     (e) shares of money market mutual or similar funds having assets in excess
of $100 million;
 
     (f) payroll advances in the ordinary course of business;
 
     (g) other advances and loans to officers and employees of the Company or
any Restricted Subsidiary, so long as the aggregate principal amount of such
advances and loans does not exceed $500,000 at any one time outstanding;
 
     (h) Investments in any Person in the form of a capital contribution of the
Company's common stock;
 
     (i) Investments made by the Company in its Restricted Subsidiaries (or any
Person that will be a Restricted Subsidiary as a result of such Investment) or
by a Restricted Subsidiary in the Company or in one or more Restricted
Subsidiaries (or any Person that will be a Restricted Subsidiary as a result of
such Investment);
 
     (j) Investments in stock, obligations or securities received in settlement
of debts owing to the Company or any Restricted Subsidiary as a result of
bankruptcy or insolvency proceedings or upon the foreclosure, perfection or
enforcement of any Lien in favor of the Company or any Restricted Subsidiary, in
each case as to debt owing to the Company or any Restricted Subsidiary that
arose in the ordinary course of business of the Company or any such Restricted
Subsidiary;
 
     (k) Investments made in exchange for Indebtedness permitted by Sections
(b)(4) and (b)(5) of the "Limitation on Indebtedness" covenant;
 
     (l) Investments in the capital stock of Navis ASA, a Norwegian corporation,
in exchange for cash and non-cash assets (the fair market value of which shall
be determined in good faith by the Board of Directors of the Company), in an
aggregate amount not to exceed $50 million at any time outstanding;
 
     (m) Investments consisting of the redesignation of the Subsidiary owning or
operating the drillships Deepwater Millennium or Deepwater Frontier as an
Unrestricted Subsidiary, or the contribution, transfer or other disposition of
the drillships Deepwater Millennium and Deepwater Frontier and related equipment
and assets (including any drilling contract) by the Company or any Restricted
Subsidiary to a Person other than a Restricted Subsidiary, in connection with
the refinancing of the Indebtedness Incurred to finance the construction of such
drillships;
                                       40
<PAGE>   44
 
     (n) Investments in a Person other than a Restricted Subsidiary for the
purpose of financing the construction or upgrade prior to delivery of the
drillship Deepwater Frontier, the drillship Deepwater Millennium or the
semisubmersible RBS8M pursuant to the terms of applicable construction and
equipment installation agreements; and
 
     (o) Investments in a Person other than a Restricted Subsidiary for the
purpose of financing the construction or upgrade of new drilling rigs,
drillships or similar vessels and related equipment, in an aggregate amount not
to exceed at any time outstanding (i) $100 million less (ii) the aggregate
amount of all payments actually made pursuant to paragraph (n) of this
definition that represent payments for amounts in excess of the Company's
estimated costs for the vessels referred to therein, as in effect on the Issue
Date; provided, however, that at the time of such Investment, the Company or
such Person has entered into a Qualifying Contract with respect thereto.
 
     "Person" means any individual, corporation, limited liability company,
limited or general partnership, joint venture, association, joint-stock company,
trust, unincorporated organization, government or any agency or political
subdivision thereof or any other entity.
 
     "Preferred Stock", as applied to the Capital Stock of any corporation,
means Capital Stock of any class or classes (however designated) which is
preferred as to the payment of dividends, or as to the distribution of assets
upon any voluntary or involuntary liquidation or dissolution of such
corporation, over shares of Capital Stock of any other class of such
corporation.
 
     "Qualifying Contract" with respect to a drilling rig, drillship or similar
vessel means a contract for the use thereof (i) between the Company or a
Restricted Subsidiary or, for the purposes of clause (o) of the definition of
"Permitted Investments," a Person other than a Restricted Subsidiary and a
counterparty that, as certified in an Officers' Certificate delivered to the
Trustee in connection therewith, is either generally recognized in the offshore
drilling industry as a major oil company or has an investment grade rating on
its long-term debt from Moody's or S&P's, (ii) having a minimum term of two
years and (iii) containing a minimum day rate for such drilling rig, drillship
or similar vessel.
 
     "Rating Agencies" means (a) S&P and Moody's or (b) if S&P or Moody's or
both of them are not making ratings of the Notes publicly available, a
nationally recognized U.S. rating agency or agencies, as the cases may be,
selected by the Company, which will be substituted for S&P or Moody's or both,
as the case may be.
 
     "Rating Categories" means:
 
     (a) with respect to S&P, any of the following categories (any of which may
include a "+" or "-"): AAA, AA, A, BBB, BB, B, CCC, CC, C and D (or equivalent
successor categories);
 
     (b) with respect to Moody's, any of the following categories (any of which
may include a "1," "2" or "3"): Aaa, Aa, A, Baa, Ba, B, Caa, Ca, C and D (or
equivalent successor categories); and
 
     (c) the equivalent of any such categories of S&P or Moody's used by another
Rating Agency, if applicable.
 
     "Redeemable Stock" means, with respect to any series of Notes, any Capital
Stock that, by its terms (or by the terms of any security into which it is
convertible, or for which it is exchangeable, in each case at the option of the
holder thereof), or upon the happening of any event, matures or is mandatorily
redeemable, pursuant to a sinking fund obligation or otherwise, or redeemable at
the option of the holder thereof, in whole or in part, on or prior to the date
on which the Notes of such series mature. Notwithstanding the preceding
sentence, any Capital Stock that would constitute Redeemable Stock solely
because the holders thereof have the right to require the Company to repurchase
such Capital Stock upon the occurrence of a change of control or an asset sale
shall not constitute Redeemable Stock if the terms of such Capital Stock provide
that the Company may not repurchase or redeem any such Capital Stock pursuant to
such provisions unless such repurchase or redemption complies with the covenant
described above under the caption "-- Limitation on Restricted Payments"
covenant.
 
                                       41
<PAGE>   45
 
     "Restricted Subsidiary" means any Subsidiaries other than an Unrestricted
Subsidiary.
 
     "Sale/Leaseback Transaction" means any arrangement with any Person
providing for the leasing by us or any Subsidiary of ours, for a period of more
than three years, of any real or tangible personal property, which property has
been or is to be sold or transferred by the Company or such Subsidiary to such
Person in contemplation of such leasing.
 
     "Significant Subsidiary" has the meaning set forth in Regulation S-X under
the Exchange Act.
 
     "S&P" means Standard & Poor's Rating Service, a division of the McGraw-Hill
Companies, Inc., and its successors.
 
     "Subordinated Obligation" means any Debt of the Company (whether
outstanding on the date hereof or hereafter incurred) which is subordinate or
junior in right of payment to the Notes.
 
     "Subsidiary" means, with respect to any Person:
 
          (1) any corporation of which more than 50% of the total voting power
     of all classes of the capital stock entitled (without regard to the
     occurrence of any contingency) to vote in the election of directors is
     owned by such Person directly or through one or more other Subsidiaries of
     such Person, and
 
          (2) any entity other than a corporation of which at least a majority
     of the capital stock or other equity interest (however designated) entitled
     (without regard to the occurrence of any contingency) to vote in the
     election of the governing body, partners, managers or others that will
     control the management of such entity is owned by such Person directly or
     through one or more other Subsidiaries of such Person.
 
     "Tangible Property" means all land, buildings, machinery and equipment and
leasehold interests and improvements which would be reflected on a balance sheet
of the Company prepared in accordance with GAAP, excluding (a) all rights,
contracts and other intangible assets of any nature whatsoever and (b) all
inventories and other current assets.
 
     "Unrestricted Subsidiary" means:
 
     (a) any Subsidiary of the Company that at the time of determination will be
designated an Unrestricted Subsidiary by the Board of Directors of the Company
as provided below and
 
     (b) any Subsidiary of an Unrestricted Subsidiary.
 
     The Board of Directors of the Company may designate any Subsidiary of the
Company as an Unrestricted Subsidiary so long as:
 
          (1) it has no Indebtedness other than Non-Recourse Indebtedness;
     provided, however, that notwithstanding any other provision of this
     Indenture, a Subsidiary shall not fail to constitute an Unrestricted
     Subsidiary by reason of (a) the guarantee by the Company or a Restricted
     Subsidiary in connection with synthetic lease obligations Incurred to
     finance the construction or upgrade of drilling rigs, drillships or similar
     vessels; and (b) obligations of the Company or a Restricted Subsidiary
     relating to Indebtedness of an Unrestricted Subsidiary if such Indebtedness
     constituted a Permitted Investment or a Restricted Payment permitted by the
     "Limitation on Restricted Payments" covenant at the time of its Incurrence
     or at the time of designation of such Subsidiary as an Unrestricted
     Subsidiary; and
 
          (2) after giving effect thereto, such designation was permitted by the
     "Limitation on Restricted Payments" covenant.
 
     Any such designation by the Board of Directors of the Company shall be
evidenced to the Trustee by filing a resolution of the Board of Directors with
the Trustee giving effect to such designation. The Board of Directors of the
Company may designate any Unrestricted Subsidiary as a Restricted Subsidiary if,
 
                                       42
<PAGE>   46
 
immediately after giving effect to such designation, (A) no Default or Event of
Default shall have occurred and be continuing and (B) the Company could incur
$1.00 of additional Indebtedness under paragraph (a) of the "Limitation on
Indebtedness" covenant.
 
EVENTS OF DEFAULT
 
     An Event of Default is defined in the Indenture with respect to Notes of
any series as being:
 
          (1) default by us or any Guarantor for 30 days in payment of any
     interest on Notes of such series;
 
          (2) default by us or any Guarantor in any payment of principal of or
     premium, if any, on Notes of such series;
 
          (3) default by us or any Guarantor in compliance with any of its other
     covenants applicable to Notes of such series or agreements in, or
     provisions of, the Notes of such series, the Guarantees, if any, or the
     Indenture which shall not have been remedied within 60 days after written
     notice by the Trustee or by the holders of at least 25% in principal amount
     of each series of Notes then outstanding;
 
          (4) the acceleration of the maturity of any Indebtedness (other than
     of Notes of such series or any Non-Recourse Indebtedness) of ours or any
     Restricted Subsidiary of ours having an outstanding principal amount of $20
     million or more individually or in the aggregate, or a default in the
     payment of any principal or interest in respect of any Indebtedness (other
     than the Notes of such series or any Non-Recourse Indebtedness) of ours or
     any Restricted Subsidiary of ours having an outstanding principal amount of
     $20 million or more individually or in the aggregate and such default shall
     be continuing for a period of 30 days without our or such Restricted
     Subsidiary, as the case may be, effecting a cure of such default;
 
          (5) a final judgment or order for the payment of money in excess of
     $20 million (net of applicable insurance coverage) having been rendered
     against us, a Guarantor or any Significant Subsidiary of ours that is a
     Restricted Subsidiary and such judgment or order shall continue unsatisfied
     and unstayed for a period of 60 days; or
 
          (6) certain events involving bankruptcy, insolvency or reorganization
     of us, a Guarantor, or any Significant Subsidiary of ours that is a
     Restricted Subsidiary.
 
     The Indenture provides that the Trustee may withhold notice to the holders
of the Notes of any default (except in payment of principal of or premium, if
any, or interest on the Notes) if the Trustee considers it in the interest of
the holders of the Notes to do so.
 
     If an Event of Default occurs and is continuing with respect to the
Indenture (other than certain events of bankruptcy, insolvency or
reorganization) with respect to any series of Notes, the Trustee or the holders
of not less than 25% in principal amount of such series of Notes outstanding may
declare the principal of and premium, if any, and accrued but unpaid interest on
all the Notes of such series to be due and payable. Upon such a declaration,
such principal, premium, if any, and interest will be due and payable
immediately.
 
     If an Event of Default relating to certain events of bankruptcy, insolvency
or reorganization occurs and is continuing, the principal of and premium, if
any, and interest on all the Notes will become and be immediately due and
payable without any declaration or other act on the part of the Trustee or any
holders of the Notes.
 
     The amount due and payable on the acceleration of any Note will be equal to
100% of the principal amount of such Note, plus accrued interest to the date of
payment.
 
                                       43
<PAGE>   47
 
     Under certain circumstances, the holders of a majority in principal amount
of the outstanding Notes of any series may rescind any such acceleration with
respect to the Notes of such series and its consequences.
 
     No holder of a Note of any series may pursue any remedy under the Indenture
unless:
 
          (1) the Trustee shall have received written notice of a continuing
     Event of Default,
 
          (2) the Trustee shall have received a request from holders of at least
     25% in principal amount of such series of Notes to pursue such remedy,
 
          (3) the Trustee shall have been offered indemnity reasonably
     satisfactory to it and
 
          (4) the Trustee shall have failed to act for a period of 60 days after
     receipt of such notice and offer of indemnity; however, such provision does
     not affect the right of a holder of a Note to sue for enforcement of any
     overdue payment thereon.
 
     The holders of a majority in principal amount of any series of Notes then
outstanding have the right to direct the time, method and place of conducting
any proceeding for exercising any remedy available to the Trustee under the
Indenture, subject to certain limitations specified in the Indenture with
respect to such series.
 
     The Indenture requires us to file annually with the Trustee a written
statement as to compliance with the covenants contained in the Indenture.
 
MODIFICATION AND WAIVER
 
     We, the Guarantors, if any, and the Trustee may make modifications and
amendments to the Indenture or the Notes with the consent of the holders of a
majority in principal amount of each series of the Notes then outstanding;
provided that no such modification or amendment may, without the consent of the
holder of each Note then outstanding affected thereby of any series:
 
          (1) reduce the amount of Notes of such series whose holders must
     consent to an amendment, supplement or waiver;
 
          (2) reduce the rate of or change the time for payment of interest,
     including default interest, on any Note of such series;
 
          (3) reduce the principal of or change the fixed maturity of any Note
     of such series or alter the premium or other provisions with respect to
     redemption;
 
          (4) make any Note payable in money other than that stated in the Note
     of such series;
 
          (5) impair the right to institute suit for the enforcement of any
     payment of principal of, or premium, if any, or interest on, any Note of
     such series;
 
          (6) make any change in the percentage of principal amount of Notes
     necessary to waive compliance with certain provisions of the Indenture; or
 
          (7) waive a continuing Default or Event of Default in the payment of
     principal of, or premium, if any, or interest on the Notes of such series.
 
     We, the Guarantors, if any, and the Trustee may make modifications and
amendments of the Indenture without the consent of any holders of Notes in
certain limited circumstances, including:
 
          (1) to cure any ambiguity, omission, defect or inconsistency;
 
          (2) to provide for the assumption of our obligations or any
     Guarantor's obligations under the Indenture upon the merger, consolidation
     or sale or other disposition of all or substantially all of our assets or
     any such Guarantor's assets;
 
                                       44
<PAGE>   48
 
          (3) to provide for uncertificated Notes in addition to or in place of
     certificated Notes;
 
          (4) to reflect the release of any Guarantor from its Guarantee, or the
     addition of any of our Subsidiaries as a Guarantor, in the manner provided
     by the Indenture;
 
          (5) to comply with any requirement in order to effect or maintain the
     qualification of the Indenture under the Trust Indenture Act of 1939; or
 
          (6) to make any change that does not adversely affect the rights of
     any holder of Notes in any material respect.
 
     The holders of a majority in aggregate principal amount of the Notes of any
series then outstanding may waive any past default under the Indenture with
respect to such series, except a default in the payment of principal, or
premium, if any, or interest.
 
DISCHARGE AND TERMINATION
 
  Defeasance of Certain Obligations
 
     We and the Guarantors, if any, may terminate certain of our and their
obligations under the Indenture with respect to Notes of any series, including
those described under the section "Certain Covenants," if:
 
          (1) we irrevocably deposit in trust with the Trustee cash or
     non-callable U.S. Government Obligations or a combination thereof
     sufficient to pay principal of and interest on such series of Notes to
     maturity, and to pay all other sums payable by us under the Indenture;
 
          (2) no Default or Event of Default shall have occurred and be
     continuing on the date of such deposit;
 
          (3) we shall have delivered to the Trustee an Opinion of Counsel from
     nationally recognized counsel acceptable to the Trustee or a tax ruling to
     the effect that the holders of the Notes of such series will not recognize
     income, gain or loss for Federal income tax purposes as a result of our
     exercise of our option under such section and will be subject to Federal
     income tax on the same amount and in the same manner and at the same times
     as would have been the case if such option had not been exercised;
 
          (4) we deliver to the Trustee certain other documents called for by
     the Indenture, including an Officers' Certificate and Opinions of Counsel;
     and
 
          (5) we satisfy certain other conditions.
 
     Our payment obligations and the Guarantors' Guarantees, if any, shall
survive until the Notes are no longer outstanding.
 
  Discharge
 
     The Indenture shall cease to be of further effect with respect to Notes of
any series (subject to certain exceptions relating to compensation and indemnity
of the Trustee and repayment to us of excess money or securities) when:
 
          (1) either all outstanding Notes of such series theretofore
     authenticated and issued (other than destroyed, lost or stolen Notes that
     have been replaced or paid) have been delivered to the Trustee for
     cancellation; or all outstanding Notes of such series not theretofore
     delivered to the Trustee for cancellation (a) have become due and payable
     or (b) will become due and payable at their stated maturity within one year
     and we have deposited or caused to be deposited with the Trustee as funds
     (immediately available to the holders in the case of clause (a)) in trust
     for such purpose an amount which, together with earnings thereon, will be
     sufficient to pay and discharge the entire indebtedness on such Notes of
     such series for principal and interest to the date of such deposit (in the
     case of
 
                                       45
<PAGE>   49
 
     Notes of such series which have become due and payable) or to the stated
     maturity, as the case may be;
 
          (2) we have paid all other sums payable by us under the Indenture; and
 
          (3) we have delivered to the Trustee an Officers' Certificate stating
     that all conditions precedent to satisfaction and discharge of the
     Indenture have been complied with, together with an Opinion of Counsel to
     the same effect.
 
GOVERNING LAW
 
     The Indenture provides that it will be governed by and will be construed in
accordance with the laws of the State of New York.
 
THE TRUSTEE
 
     Chase Bank of Texas, National Association is the Trustee under the
Indenture. Its address is 600 Travis Street, Suite 1150, Houston, Texas 77002.
We have also appointed the Trustee as the initial Registrar and as initial
Paying Agent under the Indenture.
 
     The Indenture contains certain limitations on the right of the Trustee,
should it become a creditor of ours, to obtain payment of claims in certain
cases, or to realize on certain property received in respect of any such claim
as security or otherwise. The Trustee is permitted to engage in other
transactions; however, if it acquires any conflicting interest (as defined in
the Trust Indenture Act of 1939, as amended), it must eliminate such conflict or
resign.
 
     The Indenture provides that in case an Event of Default shall occur and be
continuing, the Trustee will be required to use the degree of care and skill of
a prudent man in the conduct of his own affairs. The Trustee will be under no
obligation to exercise any of its powers under the Indenture at the request of
any of the holders of the Notes, unless such holders shall have offered the
Trustee indemnity reasonably satisfactory to it.
 
REGISTERED EXCHANGE OFFER; REGISTRATION RIGHTS
 
     We have agreed pursuant to a registration rights agreement (the
"Registration Rights Agreement") with the Initial Purchasers, for the benefit of
the holders of the Notes, that we will, at our cost, use our best efforts to
cause the registration statement of which this Prospectus is a part (the
"Exchange Offer Registration Statement") to be declared effective under the
Securities Act within 180 days after the Issue Date.
 
     Upon the effectiveness of the Exchange Offer Registration Statement, we
will offer the applicable series of exchange notes in exchange for surrender of
the corresponding series of outstanding notes. We will keep the Registered
Exchange Offer open for not less than 30 days (or longer if required by
applicable law) after the date notice of the Registered Exchange Offer is mailed
to the holders of the Notes. For each Note surrendered to us pursuant to the
Registered Exchange Offer, the holder of such Note will receive an Exchange Note
having a principal amount at maturity equal to that of the surrendered Note at
maturity. Interest on each Exchange Note will accrue from the last interest
payment date on which interest was paid on the Note surrendered in exchange
thereof or, if no interest has been paid on such Note, from the date interest
begins to accrue on such Note.
 
     Under existing SEC interpretations, the exchange notes would be freely
transferable by holders other than our affiliates after the Registered Exchange
Offer without further registration under the Securities Act if the holder of the
exchange notes acquires the exchange notes in the ordinary course of its
business, has no arrangement or understanding with any Person to participate in
the distribution of the exchange notes and is not an affiliate of ours, as such
terms are interpreted by the SEC; provided, however, that broker-dealers
("Participating Broker-Dealers") receiving exchange notes in the Registered
Exchange Offer will have a prospectus delivery requirement with respect to
resales of such exchange notes. The SEC has taken
 
                                       46
<PAGE>   50
 
the position that Participating Broker-Dealers may fulfill their prospectus
delivery requirements with respect to exchange notes (other than a resale of an
unsold allotment from the original sale of the Notes) with the prospectus
contained in the Exchange offer Registration Statement. Under the Registration
Rights Agreement, we are required to allow Participating Broker-Dealers and
other Persons, if any, with similar prospectus delivery requirements to use the
prospectus contained in the Exchange offer Registration Statement in connection
with the resale of such exchange notes.
 
     A holder of Notes (other than certain specified holders) who wishes to
exchange such Notes for exchange notes in the Registered Exchange Offer will be
required to represent that any exchange notes to be received by it will be
acquired in the ordinary course of its business and that at the time of the
commencement of the Registered Exchange Offer it has no arrangement or
understanding with any Person to participate in the distribution (within the
meaning of the Securities Act) of the exchange notes and that it is not an
affiliate of ours, as defined in Rule 405 of the Securities Act, or if it is an
affiliate, it will comply with the registration and prospectus delivery
requirements of the Securities Act to the extent applicable.
 
     In the event that applicable interpretations of the staff of the SEC do not
permit us to effect such a Registered Exchange Offer, or if for any other reason
the Registered Exchange Offer is not consummated within 180 days of the Issue
Date, or if the Initial Purchasers so request with respect to Notes not eligible
to be exchanged for exchange notes in the Registered Exchange Offer, or if any
holder of Notes is not eligible to participate in the Registered Exchange Offer
or does not receive freely tradeable exchange notes in the Registered Exchange
Offer, at our cost we will:
 
          (1) as promptly as practicable, file a shelf registration statement
     (the "Shelf Registration Statement") with the SEC covering resales of the
     Notes;
 
          (2) use our best efforts to cause the Shelf Registration Statement to
     be declared effective under the Securities Act; and
 
          (3) keep the Shelf Registration Statement effective until the earlier
     of (a) the time when the Notes covered by the Shelf Registration Statement
     can be sold pursuant to Rule 144 without any limitations under clauses (c),
     (e), (f) and (h) of Rule 144 and (b) two years from the Issue Date.
 
     We will, in the event a Shelf Registration Statement is filed, among other
things, provide to each holder for whom such Shelf Registration Statement was
filed copies of the prospectus which is a part of the Shelf Registration
Statement, notify each such holder when the Shelf Registration Statement has
become effective and take certain other actions as are required to permit
unrestricted resales of the Notes. A holder selling Notes pursuant to the Shelf
Registration Statement generally would be required to be named as a selling
security holder in the related prospectus and to deliver a prospectus to
purchasers, will be subject to certain of the civil liability provisions under
the Securities Act in connection with such sales and will be bound by the
provisions of the Registration Rights Agreement which are applicable to such
holder (including certain indemnification obligations).
 
If:
 
          (1) by June 20, 1999, neither the Registered Exchange Offer is
     consummated nor the Shelf Registration Statement is declared effective; or
 
          (2) after either the Exchange offer Registration Statement or the
     Shelf Registration Statement is declared effective, such Registration
     Statement thereafter ceases to be effective or usable (subject to certain
     exceptions) in connection with resales of Notes or exchange notes in
     accordance with and during the periods specified in the Registration Rights
     Agreement (each such event referred to in clause (1) through (2) being
     herein called a "Registration Default" and each period during which a
     Registration Default has occurred and is continuing, a "Registration
     Default Period"), additional cash interest will accrue on the Notes and the
     exchange notes at the rate of 0.25% per annum for the first 90 days of the
     Registration Default Period and at the rate of 0.50% per annum thereafter
     for the remaining portion of the Registration Default Period, calculated on
     the principal amount of the Notes
                                       47
<PAGE>   51
 
     as of the date on which such interest is payable. Such interest is payable
     in addition to any other interest payable from time to time with respect to
     the Notes.
 
     If we effect the Registered Exchange Offer, we will be entitled to close
the Registered Exchange Offer 30 days after the commencement thereof provided
that we have accepted all Notes theretofore validly tendered in accordance with
the terms of the Registered Exchange Offer.
 
     This summary of certain provisions of the Registration Rights Agreement
does not purport to be complete and is subject to, and is qualified in its
entirety by reference to, all the provisions of the Registration Rights
Agreement.
 
BOOK-ENTRY, DELIVERY AND FORM
 
     The exchange notes will be issued in fully registered form without interest
coupons. The exchange notes will be represented by one or more permanent global
Notes in definitive, fully registered form without interest coupons (the "Global
Note") and will be deposited with the Trustee as custodian for The Depository
Trust Company and registered in the name of a nominee of The Depository Trust
Company. The Global Note (and any Notes issued in exchange therefor) will be
subject to certain restrictions on transfer set forth therein and will bear the
legend regarding such restrictions set forth under "Transfer Restrictions."
 
     Upon the issuance of the Global Note, The Depository Trust Company will
credit, on its internal system, the respective principal amount of the
individual beneficial interests represented by such Global Note to the accounts
of Persons who have accounts with such depositary. Ownership of beneficial
interests in a Global Note will be limited to Persons who have accounts with The
Depository Trust Company ("participants") or Persons who hold interests through
participants. Ownership of beneficial interests in the Global Note will be shown
on, and the transfer of that ownership will be effected only through, records
maintained by The Depository Trust Company or its nominee (with respect to
interests of participants) and the records of participants (with respect to
interests of Persons other than participants).
 
     So long as The Depository Trust Company, or its nominee, is the registered
owner or holder of a Global Note, The Depository Trust Company or such nominee,
as the case may be, will be considered the sole owner or holder of the Notes
represented by such Global Note for all purposes under the Indenture and the
Notes. In addition, no beneficial owner of an interest in a Global Note will be
able to transfer that interest except in accordance with the applicable
procedures of The Depository Trust Company and, if applicable, Morgan Guaranty
Trust Company of New York, as operator of the Euroclear system ("Euroclear").
 
     Payments of the principal of, and interest on, the Global Note will be made
to The Depository Trust Company or its nominee, as the case may be, as the
registered owner thereof. Neither we, the Trustee nor any Paying Agent will have
any responsibility or liability for any aspect of the records relating to or
payments made on account of beneficial ownership interests in the Global Note or
for maintaining, supervising or reviewing any records relating to such
beneficial ownership interests.
 
     We expect that The Depository Trust Company or its nominee, upon receipt of
any payment of principal or interest in respect of a Global Note, will credit
participants' accounts with payments in amounts proportionate to their
respective beneficial interests in the principal amount of such Global Note as
shown on the records of The Depository Trust Company or its nominee. We also
expect that payments by participants to owners of beneficial interests in such
Global Note held through such participants will be governed by standing
instructions and customary practices, as is now the case with securities held
for the accounts of customers registered in the names of nominees for such
customers. Such payments will be the responsibility of such participants.
 
     Transfers between participants in The Depository Trust Company will be
effected in the ordinary way in accordance with The Depository Trust Company's
rules and will be settled in same-day funds. Transfers
 
                                       48
<PAGE>   52
 
between participants in Euroclear will be effected in the ordinary way in
accordance with its rules and operating procedures.
 
     The Depository Trust Company has advised us that it will take any action
permitted to be taken by a holder of Notes (including the presentation of Notes
for exchange as described below) only at the direction of one or more
participants to whose account The Depository Trust Company's interests in the
Global Note is credited and only in respect of such portion of the aggregate
principal amount of Notes as to which such participant or participants has or
have given such direction. However, if there is an Event of Default under the
Notes, The Depository Trust Company will exchange the Global Note for
Certificated Notes which it will distribute to its participants.
 
     The Depository Trust Company has advised us as follows: The Depository
Trust Company is a limited purpose trust company organized under the laws of the
State of New York, a "banking organization" within the meanings of New York
Banking Law, a member of the Federal Reserve System, a "clearing corporation"
within the meaning of the Uniform Commercial Code and a "Clearing Agency"
registered pursuant to the provisions of Section 17A of the Exchange Act. The
Depository Trust Company was created to hold securities for its participants and
facilitate the clearance and settlement of securities transactions between
participants through electronic book-entry changes in accounts of its
participants, thereby eliminating the need for physical movement of
certificates. Participants include securities brokers and dealers, banks, trust
companies and clearing corporations and certain other organizations. Indirect
access to The Depository Trust Company system is available to others such as
banks, brokers, dealers and trust companies that clear through or maintain a
custodial relationship with a participant, either directly or indirectly
("indirect participants").
 
     Although The Depository Trust Company and Euroclear are expected to follow
the foregoing procedures in order to facilitate transfers of interests in the
Global Note among participants of The Depository Trust Company and Euroclear,
they are under no obligation to perform or continue to perform such procedures,
and such procedures may be discontinued at any time. Neither we nor the Trustee
will have any responsibility for the performance by The Depository Trust
Company, Euroclear or the participants or indirect participants of their
respective obligations under the rules and procedures governing their respective
operations.
 
CERTIFICATED SECURITIES
 
     Subject to certain conditions, any Person having a beneficial interest in a
Global Note may, upon request to us or the Trustee, exchange such beneficial
interest for Notes in the form of Certificated Notes. Upon any such issuance,
the Trustee is required to register such Notes in the name of, and cause the
same to be delivered to, such Person or Persons (or the nominee of any thereof).
 
     In addition, if:
 
          (1) The Depository Trust Company or any successor depositary (the
     "Depositary") notifies the Company in writing that it is no longer willing
     or able to act as a depositary and we are unable to locate a qualified
     successor within 90 days or
 
          (2) we, at our option, notify the Trustee in writing that we elect to
     cause the issuance of Notes in the form of Certificated Notes under the
     Indenture, then, upon surrender by the registered owner or holder of a
     Global Note (a "Global Note Holder") of its Global Note, Notes in such form
     will be issued to each Person that such Global Note Holder and the
     Depositary identify as the beneficial owner of the related Notes.
 
     Neither we nor the Trustee will be liable for any delay by the related
Global Note Holder or the Depositary in identifying the beneficial owners of the
related Notes, and we and the Trustee may conclusively rely on, and will be
protected in relying on, instructions from such Global Note Holder or of the
Depositary for all purposes (including with respect to the registration and
delivery, and the respective principal amounts, of the Notes to be issued).
 
                                       49
<PAGE>   53
 
                      DESCRIPTION OF CERTAIN INDEBTEDNESS
 
BANK FACILITIES
 
     As of December 31, 1998, we had $150.0 million outstanding under our
revolving credit facility. We repaid all amounts on March 22, 1999 out of the
proceeds of our borrowings from RBF Finance Co. Upon repayment, we terminated
this Credit Facility.
 
     Cliffs Drilling currently maintains a $35 million revolving credit facility
that matures May 31, 2000. At March 31, 1999, Cliffs Drilling had $0.4 million
in letters of credit outstanding, leaving $34.6 million available under this
credit facility.
 
R&B FALCON NOTES
 
     In April 1998, we issued four series of the senior notes with an aggregate
principal amount of $1.1 billion (the "$1.1 Billion Senior Notes"). As a result,
we received net proceeds of $1,082 million after deducting estimated offering
related expenses. The $1.1 Billion Senior Notes bear interest at varying rates
from 6.5% to 7.375%. Interest on the $1.1 Billion Senior Notes is payable
semiannually on April 15 and October 15; and the $1.1 Billion Senior Notes
mature at varying times from 2003 to 2018. The $1.1 Billion Senior Notes are
unsecured obligations, ranking pari passu in right of payment with all of our
other existing and future senior unsecured indebtedness. We used the proceeds
from the offering of the $1.1 Billion Senior Notes to repay indebtedness of
$874.4 million. We used the remainder of the net proceeds for planned capital
expenditures, working capital and other general corporate purposes.
 
     In December 1998, we issued the $400 million principal amount of
outstanding notes that are the subject of the exchange offer. As a result, we
received net proceeds of approximately $392 million, after deducting estimated
offering related expenses. We used the proceeds from the offering of these notes
to reduce borrowings under our then existing revolving credit facility.
 
     On March 26, 1999, we issued $200 million of our 12 1/4% Senior Notes due
2006. Also on that date, RBF Finance Co., a limited purpose finance company
affiliated with us, issued $400 million of its 11% Senior Secured Notes due 2006
and $400 million of its 11 3/8% Senior Secured Notes due 2009. We borrowed the
proceeds from these notes from RBF Finance Co. in ten separate loans, each of
which is secured by one of our drilling rigs or the construction contract to
build a drilling rig. We also guaranteed the notes that RBF Finance Co. issued.
We are using the proceeds from the loans from RBF Finance Co. to finance the
costs of acquiring, constructing, repairing and improving the drilling rigs that
are security for the loans. To the extent we have already paid these costs, we
are using the proceeds for general corporate purposes, including the repayment
of debt. We are using the net proceeds from our offering of the $200 million
Senior Notes for general corporate purposes, including the repayment of debt.
For accounting purposes, we will consolidate RBF Finance Co.
 
CLIFFS DRILLING NOTES
 
     Cliffs Drilling has outstanding an aggregate principal amount of $200.0
million of its 10 1/4% Senior Notes due 2003 (the "Cliffs Drilling Notes") and
debt premium, net of amortization, of $3.1 million as of September 30, 1998.
Interest on the Cliffs Drilling Notes is payable semi-annually during each May
and November. The Cliffs Drilling Notes are unconditionally guaranteed on a
senior unsecured basis by certain subsidiaries of Cliffs Drilling (the "Cliffs
Subsidiary Guarantors"), which guarantees rank pari passu in right of payment
with all senior indebtedness of the Cliffs Subsidiary Guarantors and senior to
all subordinated indebtedness of the Cliffs Subsidiary Guarantors. The Cliffs
Drilling Notes are redeemable on or after May 15, 2000 at a declining premium.
 
     The indenture under which the Cliffs Drilling Notes are issued imposes
significant operating and financial restrictions on Cliffs Drilling. These
restrictions affect, and in many respects limit or prohibit, the ability of
Cliffs Drilling to incur additional indebtedness, make capital expenditures,
create liens, sell assets, make dividends or other payments and take other
actions.
 
                                       50
<PAGE>   54
 
                     UNITED STATES FEDERAL TAX CONSEQUENCES
                         FOR NON-UNITED STATES HOLDERS
 
     The following is a general discussion of United States federal income and
estate tax consequences of the acquisition, ownership and disposition of Notes
by an initial beneficial owner of Notes that, for United States federal tax
purposes, is not a "United States person" (a "Non-United States Holder"). This
discussion is based upon the Internal Revenue Code of 1986, as amended, its
legislative history, existing and proposed regulations thereunder, published
rulings and court decisions, all as in effect on the date hereof, which are
subject to change, possibly retroactively. For purposes of this discussion, a
"United States person" means a citizen or resident of the United States, a
corporation, partnership or other entity created or organized in the United
States or under the law of the United States or of any state thereof or the
District of Columbia (unless, in the case of a partnership, Treasury regulations
provide otherwise), an estate whose income is subject to United States federal
income taxation regardless of its source, or a trust if a U.S. court is able to
exercise primary supervision over the administration of the trust and one or
more United States persons have the authority to control all substantial
decisions of the trust. Notwithstanding the previous sentence, to the extent
provided in Treasury regulations, certain trusts in existence on August 20,
1996, and treated as United States persons prior to such date, that elect to
continue to be treated as United States persons will also be United States
persons. This discussion applies only to those Non-United States Holders who
purchased Notes from the Initial Purchasers at the price set forth on the cover
page of this Prospectus and hold the Notes as a capital asset. The tax treatment
of the holders of the Notes may vary depending upon their particular situations.
United States persons acquiring the Notes are subject to different rules than
those discussed below. In addition, certain other holders (including insurance
companies, tax exempt organizations, financial institutions and broker-dealers)
may be subject to special rules not discussed below. Prospective investors are
urged to consult their tax advisors regarding the United States federal tax
consequences of acquiring, holding and disposing of Notes, as well as any tax
consequences that may arise under the laws of any relevant foreign, state, local
or other taxing jurisdiction.
 
INTEREST
 
     Interest that we pay to a Non-United States Holder will not be subject to
United States federal income or withholding tax if such interest is not
effectively connected with the conduct of a trade or business within the United
States by such Non-United States Holder and, among other things, such Non-
United States Holder (i) does not actually or constructively own 10% or more of
the total combined voting power of all classes of our stock; (ii) is not a
controlled foreign corporation with respect to the United States and to which we
are a related person and (iii) certifies to us, our paying agent or the person
who would otherwise be required to withhold United States tax, on Form W-8 or
W-9 or substantially similar form signed under penalties of perjury, that such
holder is not a United States person and provides such holder's name and address
(the "Certification Requirement"). In the case of interest on a Note that is not
"effectively connected with the conduct of a trade or business within the United
States" and does not satisfy the three requirements of the preceding sentence,
the Non-United States Holder's interest on a Note would generally be subject to
United States withholding tax at a flat rate of 30% (or a lower applicable
treaty rate). If a Non-United States Holder's interest on a Note is "effectively
connected with the conduct of a trade or business within the United States,"
then the Non-United States Holder will be subject to United States federal
income tax on such interest income in essentially the same manner as a United
States person and, in the case of a Non-United States Holder that is a foreign
corporation, may also be subject to the branch profits tax.
 
GAIN ON DISPOSITION
 
     A Non-United States Holder generally will not be subject to United States
federal income tax with respect to gain recognized on a sale, redemption or
other disposition of a Note unless (i) the gain is effectively connected with
the conduct of a trade or business within the United States by the Non-United
States Holder or (ii) in the case of a Non-United States Holder who is a
nonresident alien individual and
 
                                       51
<PAGE>   55
 
holds the Note as a capital asset, such holder is present in the United States
for 183 or more days in the taxable year and certain other requirements are met.
 
FEDERAL ESTATE TAXES
 
     If interest on a Note is exempt from withholding of United States federal
income tax under the rules described above, the Note held by an individual who
at the time of death is a Non-United States Holder generally will not be subject
to United States federal estate tax as a result of such individual's death.
 
INFORMATION REPORTING AND BACKUP WITHHOLDING
 
     We will, when required, report to the holders of the Notes and the Internal
Revenue Service the amount of any interest paid on the Notes in each calendar
year and the amounts of tax withheld, if any, with respect to such payments.
 
     In the case of payments of interest to Non-United States Holders, the
general 31% backup withholding tax and certain information reporting will not
apply to such payments with respect to which either the Certification
Requirement has been satisfied or an exemption has otherwise been established,
provided that neither we nor our payment agent has actual knowledge that the
holder is a United States person or that the conditions of any other exemption
are not in fact satisfied. Information reporting and backup withholding
requirements will apply to the gross proceeds paid to a Non-United States Holder
on the disposition of the Notes by or through a United States office of a United
States or foreign broker, unless the holder certifies to the broker under
penalties of perjury as to its name, address and status as a foreign person or
the holder otherwise establishes an exemption. Information reporting
requirements, but not backup withholding, will also apply to a payment of the
proceeds of a disposition of the Notes by or through a foreign office of a
United States broker or foreign brokers with certain types of relationships to
the United States unless such broker has documentary evidence in its file that
the holder of the Notes is not a United States person and such broker has no
actual knowledge to the contrary, or the holder establishes an exception.
Neither information reporting nor backup withholding generally will apply to a
payment of the proceeds of a disposition of the Notes by or through a foreign
office of a foreign broker not subject to the preceding sentence.
 
     Backup withholding is not an additional tax. Any amounts withheld under the
backup withholding rules may be refunded or credited against the Non-United
States Holder's United States federal income tax liability, provided that the
required information is furnished to the IRS.
 
     The United States Treasury Department recently promulgated new regulations
regarding the withholding and information reporting rules discussed above. In
general, the new regulations do not significantly alter the substantive
withholding and information reporting requirements but rather unify current
certification procedures and forms and clarify reliance standards. The new
regulations require, however, that a foreign person furnish its taxpayer
identification number in certain circumstances to claim a reduction in United
States federal withholding tax and new rules are provided for foreign persons
that hold debt instruments thorough a foreign intermediary. The new regulations
are generally effective for payments made after December 31, 1999, subject to
certain transition rules. NON-UNITED STATES HOLDERS SHOULD CONSULT THEIR OWN TAX
ADVISORS WITH RESPECT TO THE IMPACT, IF ANY, OF THE NEW REGULATIONS.
 
                                       52
<PAGE>   56
 
                              PLAN OF DISTRIBUTION
 
     Each broker-dealer that receives exchange notes for its own account
pursuant to the exchange offer must acknowledge that it will deliver a
prospectus in connection with any resale of such exchange notes. This
prospectus, as it may be amended or supplemented from time to time, may be used
by a broker-dealer in connection with resales of exchange notes received in
exchange for outstanding notes where such outstanding notes were acquired as a
result of market-making activities or other trading activities. We have agreed
that for a period of 180 days after the expiration date, it will make this
prospectus, as amended or supplemented, available to any broker-dealer for use
in connection with any such resales.
 
     We will not receive any proceeds from any sale of exchange notes by
broker-dealers. Exchange notes received by broker-dealers for their own account
pursuant to the exchange offer may be sold from time to time in one or more
transactions in the over-the-counter market, in negotiated transactions, through
the writing of options on the exchange notes or a combination of such methods of
resale, at market prices prevailing at the time of resale, at prices related to
such prevailing market prices or negotiated prices. Any such resale may be made
directly to purchasers or to or through brokers or dealers who may receive
compensation in the form of commissions or concessions from any such
broker-dealer and/or the purchasers of any such exchange notes. Any
broker-dealer that resells exchange notes that were received by it for its own
account pursuant to the exchange offer and any broker or dealer that
participates in a distribution of such exchange notes may be deemed to be an
"underwriter" within the meaning of the Securities Act and any profit on any
such resale of exchange notes and any commissions or concessions received by any
such persons may be deemed to be underwriting compensation under the Securities
Act. The letter of transmittal states that by acknowledging that it will deliver
and by delivering a prospectus, a broker-dealer will not be deemed to admit that
it is an "underwriter" within the meaning of the Securities Act.
 
                      WHERE YOU CAN FIND MORE INFORMATION
 
     We file annual, quarterly and special reports, proxy statements and other
information with the Securities and Exchange Commission. You may read and copy
any reports, statements or other information filed by us at the SEC's public
reference room at Room 1024, Judiciary Plaza, 450 Fifth Street, N.W.,
Washington, D.C. 20549. Please call the SEC at 1-800-SEC-0330 for further
information on the public reference room. Our filings with the SEC are also
available to the public from commercial document retrieval services and at the
SEC's web site at "http://www.sec.gov."
 
     This prospectus constitutes a part of a registration statement we have
filed with the SEC under the Securities Act of 1933. As permitted by the rules
and regulations of the SEC, this prospectus does not contain all of the
information contained in the registration statement and the exhibits and
schedules to the registration statement. Accordingly, in this prospectus, we
make reference to the registration statement and to its exhibits and schedules.
For further information about us and about the securities we are offering in
this prospectus, you should consult the registration statement and its exhibits
and schedules. You should be aware that statements contained in this prospectus
concerning the provisions of any documents filed as an exhibit to the
registration statement or otherwise filed with the SEC are not necessarily
complete, and in each instance reference is made to the copy of the document so
filed as an exhibit to the registration statement. These statements are
qualified in their entirety by these references.
 
                           INCORPORATION BY REFERENCE
 
     All documents filed by us under Section 13(a), 13(c), 14 or 15(d) of the
Securities Exchange Act, after the date hereof are incorporated by reference
into and to be a part of this prospectus from the date of filing of those
documents.
 
                                       53
<PAGE>   57
 
     We are incorporating by reference the following documents we have filed
with the SEC:
 
     - Annual Report on Form 10-K for the fiscal year ended December 31, 1998;
 
     - Current Report on Form 8-K/A filed January 20, 1999, amending Current
       Report on Form 8-K filed December 15, 1998; and
 
     - Current Report on Form 8-K filed March 16, 1999.
 
     You may request a copy of any of these filings, at no cost, by writing or
telephoning us at the following address or phone number:
 
     R&B Falcon Corporation
     901 Threadneedle
     Houston, Texas 77079
     (281) 496-5000
     Attention: Investor Relations
 
                                 LEGAL MATTERS
 
     Certain legal matters with respect to the exchange notes offered hereby
will be passed upon for us by Gardere Wynne Sewell & Riggs, L.L.P., Houston,
Texas.
 
                                    EXPERTS
 
   
     The consolidated balance sheets of R&B Falcon Corporation as of December
31, 1998 and 1997, and the related statements of operations, stockholders'
equity and cash flows for each of the years in the three year period ended
December 31, 1998, incorporated by reference in this prospectus and elsewhere in
the registration statement have been audited by Arthur Andersen LLP, independent
public accountants, as indicated in their report with respect thereto, and are
included herein in reliance upon the authority of said firm as experts in giving
said report.
    
 
     The consolidated financial statements of Cliffs Drilling Company as of
December 31, 1997 and for each of the three years in the period ended December
31, 1997, incorporated by reference in this prospectus, have been audited by
Ernst & Young LLP, independent accountants, as stated in their report, which is
incorporated by reference herein.
 
                                       54
<PAGE>   58
 
                                    PART II
 
                     INFORMATION NOT REQUIRED IN PROSPECTUS
 
ITEM 20. INDEMNIFICATION OF DIRECTORS AND OFFICERS.
 
     The Amended and Restated Certificate of Incorporation and Bylaws of R&B
Falcon Corporation require the indemnification of directors and officers to the
fullest extent permitted by law.
 
     Section 145 of the Delaware General Corporation Law authorizes and empowers
R&B Falcon Corporation to indemnify the directors, officers, employees and
agents of R&B Falcon Corporation against liabilities incurred in connection
with, and related expenses resulting from, any claim, action or suit brought
against any such person as a result of his relationship with R&B Falcon
Corporation, provided that such person acted in good faith and in a manner such
person reasonably believed to be in, and not opposed to, the best interests of
R&B Falcon Corporation in connection with the acts or events on which such
claim, action or suit is based. The finding of either civil or criminal
liability on the part of such persons in connection with such acts or events is
not necessarily determinative of the question of whether such persons have met
the required standard of conduct and are, accordingly, entitled to be
indemnified. The foregoing statements are subject to the detailed provisions of
Section 145 of the General Corporation law of the State of Delaware.
 
     Article 6.1 of the Bylaws of R&B Falcon Corporation provides that R&B
Falcon Corporation shall indemnify to the fullest extent authorized or permitted
by law, any person made, or threatened to be made, a party to or otherwise
involved in any action or proceeding by reason of the fact that he or she is or
was a director or officer of R&B Falcon Corporation, at the request of R&B
Falcon Corporation or by reason of the fact that such director or officer at the
request of R&B Falcon Corporation, is or was serving any other corporation,
partnership, joint venture, trust, employee benefit plan or other enterprise, in
any capacity.
 
ITEM 21. EXHIBITS AND FINANCIAL STATEMENT SCHEDULES.
 
<TABLE>
<C>                      <S>
           4.1           -- Indenture dated as of December 22, 1998 between R&B
                            Falcon Corporation, as Issuer, and Chase Bank of Texas,
                            National Association, as Trustee, with respect to Series
                            A and Series B of each of $100,000,000 9 1/8% Senior
                            Notes due 2003 and $300,000,000 9 1/2% Senior Notes due
                            2008 (incorporated by reference to Exhibit 4.21 of
                            Registrant's Annual Report on Form 10-K for the year
                            ended December 31, 1998)
           4.2           -- Registration Rights Agreement dated as of December 17,
                            1998 among R&B Falcon Corporation and Credit Suisse First
                            Boston, Paribas Corporation and NationsBanc Montgomery
                            Securities LLC (incorporated by reference to Exhibit 4.6
                            of Registrant's Annual Report on Form 10-K for the year
                            ended December 31, 1998)
           5.1**         -- Opinion of Gardere Wynne Sewell & Riggs, L.L.P., counsel
                            for R&B Falcon Corporation
          10.1**         -- Purchase Agreement dated December 17, 1998 among R&B
                            Falcon Corporation and Credit Suisse First Boston,
                            Paribas Corporation and NationsBanc Montgomery Securities
                            LLC
          12.1**         -- Statement regarding computation of ratio of earnings to
                            fixed charges
          23.1*          -- Consent of Arthur Andersen LLP
          23.2*          -- Consent of Ernst & Young LLP
          24.1**         -- Power of Attorney (set forth on the signature pages
                            contained in Part II of this Registration Statement)
</TABLE>
 
                                      II-1
<PAGE>   59
<TABLE>
<C>                      <S>
          25.1*          -- Statement of Eligibility and Qualification under the
                            Trust Indenture Act of 1939 on Form T-1 of Chase Bank of
                            Texas, National Association
          99.1**         -- Form of Letter of Transmittal
          99.2**         -- Form of Notice of Guaranteed Delivery
</TABLE>
 
- ---------------
 
*  Filed herewith.
** Previously filed.
 
ITEM 22. UNDERTAKINGS.
 
     (a) The undersigned Registrant hereby undertakes that, for purposes of
determining any liability under the Securities Act of 1933, each filing of the
Registrant's annual report pursuant to Section 13(a) of 15(d) of the Securities
Exchange Act of 1934 (and, where applicable, each filing of an employee benefit
plan's annual report pursuant to Section 15(d) of the Securities Exchange Act of
1934) that is incorporated by reference in the registration statement shall be
deemed to be a new registration statement relating to the securities offered
therein, and the offering of such securities at that time shall be deemed to be
the initial bona fide offering thereof.
 
     (b) The undersigned registrant hereby undertakes as follows: that prior to
any public reoffering of the securities registered hereunder through use of a
prospectus which is a part of this registration statement, by any person or
party who is deemed to be an underwriter within the meaning of Rule 145(c), the
issuer undertakes that such reoffering prospectus will contain the information
called for by the applicable registration form with respect to reofferings by
persons who may be deemed underwriters, in addition to the information called
for by the other Items of the applicable form.
 
     (c) The registrant undertakes that every prospectus (i) that is filed
pursuant to paragraph (1) immediately preceding, or (ii) that purports to meet
the requirements of section 10(a)(3) of the Act and is used in connection with
an offering of securities subject to Rule 415, will be filed as a part of an
amendment to the registration statement and will not be used until such
amendment is effective, and that, for purposes of determining any liability
under the Securities Act of 1933, each such post-effective amendment shall be
deemed to be a new registration statement relating to the securities offered
therein, and the offering of such securities at that time shall be deemed to be
the initial bona fide offering thereof.
 
     (d) Insofar as indemnification for liabilities arising under the Securities
Act of 1933 may be permitted to directors, officers and controlling persons of
the Registrant pursuant to the foregoing provisions, or otherwise, the
Registrant has been advised that in the opinion of the Securities and Exchange
Commission such indemnification is against public policy as expressed in the Act
and is, therefore, unenforceable. In the event that a claim for indemnification
against such liabilities (other than the payment by the Registrant of expenses
incurred or paid by a director, officer or controlling person of the Registrant
in the successful defense of any action, suit or proceeding) is asserted by such
director, officer or controlling person in connection with the securities being
registered, the Registrant will, unless in the opinion of its counsel the matter
has been settled by controlling precedent, submit to a court of appropriate
jurisdiction the question whether such indemnification by it is against public
policy as expressed in the Act and will be governed by the final adjudication of
such issue.
 
     (e) The undersigned Registrant hereby undertakes to respond to requests for
information that is incorporated by reference into the prospectus pursuant to
Item 4, 10(b), 11, or 13 of this Form, within one business day of receipt of
such request, and to send the incorporated documents by first class mail or
other equally prompt means. This includes information contained in documents
filed subsequent to the effective date of the registration statement through the
date of responding to the request.
 
     (f) The undersigned Registrant hereby undertakes to supply by means of a
post-effective amendment all information concerning a transaction, and the
company being acquired involved therein, that was not the subject of and
included in the registration statement when it became effective.
 
                                      II-2
<PAGE>   60
 
                                   SIGNATURES
 
     Pursuant to the requirements of the Securities Act, the registrant has duly
caused this Amendment No. 1 to Registration Statement to be signed on its behalf
by the undersigned, thereunto duly authorized, in the City of Houston, State of
Texas, on May 10, 1999.
 
                                            R&B FALCON CORPORATION
 
                                            By:    /s/ STEVEN A. WEBSTER
                                              ----------------------------------
                                                      Steven A. Webster
                                                 Chief Executive Officer and
                                                           President
 
                                      II-3
<PAGE>   61
 
                               INDEX TO EXHIBITS
 
<TABLE>
<CAPTION>
        EXHIBIT
          NO.                                    DESCRIPTION
        -------                                  -----------
<C>                      <S>
          4.1            -- Indenture dated as of December 22, 1998 between R&B
                            Falcon Corporation, as Issuer, and Chase Bank of Texas,
                            National Association, as Trustee, with respect to Series
                            A and Series B of each of $100,000,000 9 1/8% Senior
                            Notes due 2003 and $300,000,000 9 1/2% Senior Notes due
                            2008 (incorporated by reference to Exhibit 4.21 of
                            Registrant's Annual Report on Form 10-K for the year
                            ended December 31, 1998).
          4.2            -- Registration Rights Agreement dated as of December 17,
                            1998 among R&B Falcon Corporation and Credit Suisse First
                            Boston, Paribas Corporation and NationsBanc Montgomery
                            Securities LLC (incorporated by reference to Exhibit 4.6
                            of Registrant's Annual Report on Form 10-K for the year
                            ended December 31, 1998)
          5.1**          -- Opinion of Gardere Wynne Sewell & Riggs, L.L.P., counsel
                            for R&B Falcon Corporation.
         10.1**          -- Purchase Agreement dated December 17, 1998 among R&B
                            Falcon Corporation and Credit Suisse First Boston,
                            Paribas Corporation and NationsBanc Montgomery Securities
                            LLC.
         12.1**          -- Statement regarding computation of ratio of earnings to
                            fixed charges.
         23.1*           -- Consent of Arthur Andersen LLP.
         23.2*           -- Consent of Ernst & Young LLP.
         24.1**          -- Power of Attorney (set forth on the signature pages
                            contained in Part II of this Registration Statement).
         25.1*           -- Statement of Eligibility and Qualification under the
                            Trust Indenture Act of 1939 on Form T-1 of Chase Bank of
                            Texas, National Association.
         99.1**          -- Form of Letter of Transmittal.
         99.2**          -- Form of Notice of Guaranteed Delivery.
</TABLE>
 
- ---------------
 
*  Filed herewith.
** Previously filed.

<PAGE>   1
                                                                    EXHIBIT 23.1


                   CONSENT OF INDEPENDENT PUBLIC ACCOUNTANTS

   
As independent public accountants, we hereby consent to the incorporation by 
reference in this registration statement (File No. 333-77263) on Form S-4 of 
our report dated March 26, 1999 included in R&B Falcon Corporation's Form 10-K 
for the year ended December 31, 1998 and to all references to our Firm in this 
registration statement.
    





ARTHUR ANDERSEN LLP

   
Houston, Texas
May 10, 1999
    

<PAGE>   1



                                                                    EXHIBIT 23.2

                   CONSENT OF INDEPENDENT PUBLIC ACCOUNTANTS

We consent to the incorporation by reference in the Registration Statement (Form
S-4) and related Prospectus of R&B Falcon Corporation for the registration of
$400 million Senior Notes of our report dated February 13, 1998, with respect to
the consolidated financial statements of Cliffs Drilling Company included in its
Annual Report (Form 10-K) for the year ended December 31, 1997 and incorporated
by reference in the R&B Falcon Corporation Current Report on Form 8-K/A
Amendment No. 1 dated January 20, 1999, both filed with the Securities and
Exchange Commission.


                                        ERNST & YOUNG LLP



   
Houston, Texas
May 7, 1999
    

<PAGE>   1
                                                                    EXHIBIT 25.1


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

                       SECURITIES AND EXCHANGE COMMISSION

                             WASHINGTON, D.C. 20549

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

                                    FORM T-1

                       STATEMENT OF ELIGIBILITY UNDER THE
                           TRUST INDENTURE ACT OF 1939
                  OF A CORPORATION DESIGNATED TO ACT AS TRUSTEE

                CHECK IF AN APPLICATION TO DETERMINE ELIGIBILITY
                 OF A TRUSTEE PURSUANT TO SECTION 305(b)(2) ____

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

                    CHASE BANK OF TEXAS, NATIONAL ASSOCIATION
               (Exact name of trustee as specified in its charter)

                                   74-0800980
                     (I.R.S. Employer Identification Number)

    712 MAIN STREET, HOUSTON, TEXAS                                77002
(Address of principal executive offices)                         (Zip code)

                    LEE BOOCKER, 712 MAIN STREET, 26TH FLOOR
                       HOUSTON, TEXAS 77002 (713)216-2448
            (Name, address and telephone number of agent for service)

                            R & B FALCON CORPORATION
               (Exact name of obligor as specified in its charter)

                        DELAWARE                              76-0544217
            (State or other jurisdiction of                (I.R.S. Employer
            incorporation or organization)               Identification Number)

                     901 THREADNEEDLE
                      HOUSTON, TEXAS                             77079
        (Address of principal executive offices)               (Zip code)


                          9-1/8% SENIOR NOTES DUE 2003
                          9-1/2% SENIOR NOTES DUE 2008
                         (Title of indenture securities)
================================================================================


<PAGE>   2

ITEM  1.          GENERAL INFORMATION.

         FURNISH THE FOLLOWING INFORMATION AS TO THE TRUSTEE:

         (a)      NAME AND ADDRESS OF EACH EXAMINING OR SUPERVISING
                  AUTHORITY TO WHICH IT IS SUBJECT.

                  Comptroller of the Currency, Washington, D.C. 
                  Federal Deposit Insurance Corporation, Washington, D.C. 
                  Board of Governors of the Federal Reserve System, Washington, 
                  D.C.

         (b)      WHETHER IT IS AUTHORIZED TO EXERCISE CORPORATE TRUST POWERS.

                  The trustee is authorized to exercise corporate trust powers.

ITEM 2.           AFFILIATIONS WITH THE OBLIGOR.

                  IF THE OBLIGOR IS AN AFFILIATE OF THE TRUSTEE, DESCRIBE EACH
                  SUCH AFFILIATION.

                  The obligor is not an affiliate of the trustee. (See Note on
                  Page 7.)

ITEM 3.           VOTING SECURITIES OF THE TRUSTEE.

                  FURNISH THE FOLLOWING INFORMATION AS TO EACH CLASS OF VOTING
         SECURITIES OF THE TRUSTEE.

                             COL. A                          COL. B
                          TITLE OF CLASS                AMOUNT OUTSTANDING

                  Not applicable by virtue of Form T-1 General Instruction B and
                  response to Item 13.

ITEM 4.           TRUSTEESHIPS UNDER OTHER INDENTURES.

                  IF THE TRUSTEE IS A TRUSTEE UNDER ANOTHER INDENTURE UNDER
WHICH ANY OTHER SECURITIES, OR CERTIFICATES OF INTEREST OR PARTICIPATION IN ANY
OTHER SECURITIES, OF THE OBLIGOR ARE OUTSTANDING, FURNISH THE FOLLOWING
INFORMATION:

                  (a)   TITLE OF THE SECURITIES OUTSTANDING UNDER EACH SUCH
                        OTHER INDENTURE.

                  Not applicable by virtue of Form T-1 General Instruction B and
                  response to Item 13.


                                       1
<PAGE>   3


ITEM 4. (CONTINUED)

                  (b) A BRIEF STATEMENT OF THE FACTS RELIED UPON AS A BASIS FOR
                  THE CLAIM THAT NO CONFLICTING INTEREST WITHIN THE MEANING OF
                  SECTION 310(b)(1) OF THE ACT ARISES AS A RESULT OF THE
                  TRUSTEESHIP UNDER ANY SUCH OTHER INDENTURE, INCLUDING A
                  STATEMENT AS TO HOW THE INDENTURE SECURITIES WILL RANK AS
                  COMPARED WITH THE SECURITIES ISSUED UNDER SUCH OTHER
                  INDENTURE.

                  Not applicable by virtue of Form T-1 General Instruction B and
                  response to Item 13.

ITEM 5.           INTERLOCKING DIRECTORATES AND SIMILAR RELATIONSHIPS WITH 
                  OBLIGOR OR UNDERWRITERS.

                  IF THE TRUSTEE OR ANY OF THE DIRECTORS OR EXECUTIVE OFFICER OF
THE TRUSTEE IS A DIRECTOR, OFFICER, PARTNER, EMPLOYEE, APPOINTEE, OR
REPRESENTATIVE OF THE OBLIGOR OR OF ANY UNDERWRITER FOR THE OBLIGOR, IDENTIFY
EACH SUCH PERSON HAVING ANY SUCH CONNECTION AND STATE THE NATURE OF EACH SUCH
CONNECTION.

                  Not applicable by virtue of Form T-1 General Instruction B and
                  response to Item 13.

ITEM 6.           VOTING SECURITIES OF THE TRUSTEE OWNED BY THE OBLIGOR OR ITS
                  OFFICIALS.

                  FURNISH THE FOLLOWING INFORMATION AS TO THE VOTING SECURITIES
OF THE TRUSTEE OWNED BENEFICIALLY BY THE OBLIGOR AND EACH DIRECTOR, PARTNER AND
EXECUTIVE OFFICER OF THE OBLIGOR.

         COL. A            COL. B              COL. C              COL. D
                                                                PERCENTAGE OF
                                                             VOTING SECURITIES
                                                              REPRESENTED BY
                                            AMOUNT OWNED      AMOUNT GIVEN IN
     NAME OF OWNER     TITLE OF CLASS       BENEFICIALLY           COL. C     
     -------------     --------------       ------------           ------

     Not applicable by virtue of Form T-1 General Instruction B and response to
     Item 13.


                                       2
<PAGE>   4


ITEM 7.  VOTING SECURITIES OF THE TRUSTEE OWNED BY UNDERWRITERS OR THEIR
         OFFICIALS.

         FURNISH THE FOLLOWING INFORMATION AS TO THE VOTING SECURITIES OF THE
TRUSTEE OWNED BENEFICIALLY BY EACH UNDERWRITER FOR THE OBLIGOR AND EACH
DIRECTOR, PARTNER AND EXECUTIVE OFFICER OF EACH SUCH UNDERWRITER.

         COL. A            COL. B              COL. C              COL. D
                                                                PERCENTAGE OF
                                                             VOTING SECURITIES
                                                              REPRESENTED BY
                                            AMOUNT OWNED      AMOUNT GIVEN IN
     NAME OF OWNER     TITLE OF CLASS       BENEFICIALLY           COL. C     
     -------------     --------------       ------------           ------

    Not applicable by virtue of Form T-1 General Instruction B and response to
    Item 13.


ITEM 8.  SECURITIES OF THE OBLIGOR OWNED OR HELD BY THE TRUSTEE.

         FURNISH THE FOLLOWING INFORMATION AS TO THE SECURITIES OF THE OBLIGOR
OWNED BENEFICIALLY OR HELD AS COLLATERAL SECURITY FOR OBLIGATIONS IN DEFAULT BY
THE TRUSTEE.

    COL. A              COL. B              COL. C                 COL. D
                                        AMOUNT OWNED
                      WHETHER THE      BENEFICIALLY OR           PERCENT OF
                      SECURITIES      HELD AS COLLATERAL           CLASS
                      ARE VOTING        SECURITY FOR           REPRESENTED BY
                     OR NONVOTING      OBLIGATIONS IN         AMOUNT GIVEN IN
TITLE OF CLASS        SECURITIES           DEFAULT                 COL. C
- --------------       ------------         -------                  ------

         Not applicable by virtue of Form T-1 General Instruction B and response
         to Item 13.



                                       3
<PAGE>   5



ITEM 9.  SECURITIES OF UNDERWRITERS OWNED OR HELD BY THE TRUSTEE.

         IF THE TRUSTEE OWNS BENEFICIALLY OR HOLDS AS COLLATERAL SECURITY FOR
OBLIGATIONS IN DEFAULT ANY SECURITIES OF AN UNDERWRITER FOR THE OBLIGOR, FURNISH
THE FOLLOWING INFORMATION AS TO EACH CLASS OF SECURITIES OF SUCH UNDERWRITER ANY
OF WHICH ARE SO OWNED OR HELD BY THE TRUSTEE.

   COL. A               COL. B               COL. C                COL. D
                                          AMOUNT OWNED
                                        BENEFICIALLY OR           PERCENT OF
                                       HELD AS COLLATERAL           CLASS
NAME OF ISSUER                            SECURITY FOR           REPRESENTED BY
     AND                AMOUNT           OBLIGATIONS IN         AMOUNT GIVEN IN
TITLE OF CLASS        OUTSTANDING      DEFAULT BY TRUSTEE           COL. C
- ---------------       ------------     ------------------           ------

     Not applicable by virtue of Form T-1 General Instruction B and response to
     Item 13.


ITEM 10. OWNERSHIP OR HOLDINGS BY THE TRUSTEE OF VOTING SECURITIES OF CERTAIN
         AFFILIATES OR SECURITY HOLDERS OF THE OBLIGOR.

         IF THE TRUSTEE OWNS BENEFICIALLY OR HOLDS AS COLLATERAL SECURITY FOR
OBLIGATIONS IN DEFAULT VOTING SECURITIES OF A PERSON WHO, TO THE KNOWLEDGE OF
THE TRUSTEE (1) OWNS 10% OR MORE OF THE VOTING SECURITIES OF THE OBLIGOR OR (2)
IS AN AFFILIATE, OTHER THAN A SUBSIDIARY, OF THE OBLIGOR, FURNISH THE FOLLOWING
INFORMATION AS TO THE VOTING SECURITIES OF SUCH PERSON.

   COL. A               COL. B               COL. C                COL. D
                                          AMOUNT OWNED
                                        BENEFICIALLY OR           PERCENT OF
                                       HELD AS COLLATERAL           CLASS
NAME OF ISSUER                            SECURITY FOR           REPRESENTED BY
     AND                AMOUNT           OBLIGATIONS IN         AMOUNT GIVEN IN
TITLE OF CLASS        OUTSTANDING      DEFAULT BY TRUSTEE           COL. C
- ---------------       ------------     ------------------           ------

    Not applicable by virtue of Form T-1 General Instruction B and response to
    Item 13.



                                       4
<PAGE>   6





ITEM 11. OWNERSHIP OR HOLDINGS BY THE TRUSTEE OF ANY SECURITIES OF A PERSON 
         OWNING 50% OR MORE OF THE VOTING SECURITIES OF THE OBLIGOR.

         IF THE TRUSTEE OWNS BENEFICIALLY OR HOLDS AS COLLATERAL SECURITY FOR
OBLIGATIONS IN DEFAULT ANY SECURITIES OF A PERSON WHO, TO THE KNOWLEDGE OF THE
TRUSTEE, OWNS 50% OR MORE OF THE VOTING SECURITIES OF THE OBLIGOR, FURNISH THE
FOLLOWING INFORMATION AS TO EACH CLASS OF SECURITIES OR SUCH PERSON ANY OF WHICH
ARE SO OWNED OR HELD BY THE TRUSTEE.

   COL. A               COL. B               COL. C                COL. D
                                          AMOUNT OWNED
                                        BENEFICIALLY OR           PERCENT OF
                                       HELD AS COLLATERAL           CLASS
NAME OF ISSUER                            SECURITY FOR           REPRESENTED BY
     AND                AMOUNT           OBLIGATIONS IN         AMOUNT GIVEN IN
TITLE OF CLASS        OUTSTANDING      DEFAULT BY TRUSTEE           COL. C
- ---------------       ------------     ------------------           ------

    Not applicable by virtue of Form T-1 General Instruction B and response to
    Item 13.


ITEM 12. INDEBTEDNESS OF THE OBLIGOR TO THE TRUSTEE.

         EXCEPT AS NOTED IN THE INSTRUCTIONS, IF THE OBLIGOR IS INDEBTED TO THE
TRUSTEE, FURNISH THE FOLLOWING INFORMATION:


           COL. A                   COL. B                         COL. C

          NATURE OF                 AMOUNT
        INDEBTEDNESS              OUTSTANDING                     DATE DUE
        ------------              -----------                     --------

       Not applicable by virtue of Form T-1 General Instruction B and response
       to Item 13.


ITEM 13. DEFAULTS BY THE OBLIGOR.

     (a) STATE WHETHER THERE IS OR HAS BEEN A DEFAULT WITH RESPECT TO THE
SECURITIES UNDER THIS INDENTURE. EXPLAIN THE NATURE OF ANY SUCH DEFAULT.

     There is not, nor has there been, a default with respect to the securities
under this indenture. (See Note on Page 7.)




                                       5
<PAGE>   7

ITEM 13. (CONTINUED)

     (b) IF THE TRUSTEE IS A TRUSTEE UNDER ANOTHER INDENTURE UNDER WHICH ANY
SECURITIES, OR CERTIFICATES OF INTEREST OR PARTICIPATION IN ANY OTHER
SECURITIES, OF THE OBLIGOR ARE OUTSTANDING, OR IS TRUSTEE FOR MORE THAN ONE
OUTSTANDING SERIES OF SECURITIES UNDER THE INDENTURE, STATE WHETHER THERE HAS
BEEN A DEFAULT UNDER ANY SUCH INDENTURE OR SERIES, IDENTIFY THE INDENTURE OR
SERIES AFFECTED, AND EXPLAIN THE NATURE OF ANY SUCH DEFAULT.

     There has not been a default under any such indenture or series. (See Note
on Page 7.)

ITEM 14. AFFILIATIONS WITH THE UNDERWRITERS.

         IF ANY UNDERWRITER IS AN AFFILIATE OF THE TRUSTEE, DESCRIBE EACH SUCH
AFFILIATION.

       Not applicable by virtue of Form T-1 General Instruction B and response
to Item 13.

ITEM 15. FOREIGN TRUSTEE.

         IDENTIFY THE ORDER OR RULE PURSUANT TO WHICH THE FOREIGN TRUSTEE IS
AUTHORIZED TO ACT AS SOLE TRUSTEE UNDER INDENTURES QUALIFIED OR TO BE QUALIFIED
UNDER THE ACT.

         Not applicable.

ITEM 16. LIST OF EXHIBITS.

         LIST BELOW ALL EXHIBITS FILED AS PART OF THIS STATEMENT OF ELIGIBILITY.

         o 1. A copy of the articles of association of the trustee now in
         effect.

         # 2. A copy of the certificate of authority of the trustee to commence
         business.

         * 3. A copy of the certificate of authorization of the trustee to
         exercise corporate trust powers issued by the Board of Governors of the
         Federal Reserve System under date of January 21, 1948.

         + 4. A copy of the existing bylaws of the trustee.

         5. Not applicable.

         6. The consent of the United States institutional trustees required by
         Section 321(b) of the Act.


                                       6
<PAGE>   8


         7. A copy of the latest report of condition of the trustee published
         pursuant to law or the requirements of its supervising or examining
         authority.

         8. Not applicable.

         9. Not applicable.


                      NOTE REGARDING INCORPORATED EXHIBITS

         Effective January 20, 1998, the name of the Trustee was changed from
Texas Commerce Bank National Association to Chase Bank of Texas, National
Association. The exhibits incorporated herein by reference, were filed under the
former name of the Trustee.

         o Incorporated by reference to exhibit bearing the same designation and
previously filed with the Securities and Exchange Commission as exhibits to the
Form S-3 File No. 33-56195.

         # Incorporated by reference to exhibit bearing the same designation and
previously filed with the Securities and Exchange Commission as exhibits to the
Form S-3 File No. 33-42814.

         * Incorporated by reference to exhibit bearing the same designation and
previously filed with the Securities and Exchange Commission as exhibits to the
Form S-11 File No. 33-25132.

         + Incorporated by reference to exhibit bearing the same designation and
previously filed with the Securities and Exchange Commission as exhibits to the
Form S-3 File No. 33-65055.



                                      NOTE

           Inasmuch as this Form T-1 is filed prior to the ascertainment by the
trustee of all facts on which to base responsive answers to Items 2 and 13, the
answers to said Items are based on incomplete information. Such Items may,
however, be considered as correct unless amended by an amendment to this Form
T-1.



                                       7
<PAGE>   9




                                    SIGNATURE

         PURSUANT TO THE REQUIREMENTS OF THE TRUST INDENTURE ACT OF 1939 THE
TRUSTEE, CHASE BANK OF TEXAS, NATIONAL ASSOCIATION, FORMERLY KNOWN AS TEXAS
COMMERCE BANK NATIONAL ASSOCIATION, A NATIONAL BANKING ASSOCIATION ORGANIZED AND
EXISTING UNDER THE LAWS OF THE UNITED STATES OF AMERICA, HAS DULY CAUSED THIS
STATEMENT OF ELIGIBILITY TO BE SIGNED ON ITS BEHALF BY THE UNDERSIGNED,
THEREUNTO AUTHORIZED, ALL IN THE CITY OF HOUSTON, AND STATE OF TEXAS, ON THE 28
DAY OF APRIL, 1999.

                                         CHASE BANK OF TEXAS, NATIONAL
                                          ASSOCIATION, AS TRUSTEE


                                         By: /s/ MAURI J. COWEN
                                             ---------------------------------
                                                 Mauri J. Cowen
                                             Vice President and Trust Officer





                                       8
<PAGE>   10


                                                                       EXHIBIT 6



Securities and Exchange Commission
Washington, D.C. 20549

Gentlemen:

         The undersigned is trustee under an Indenture between R & B Falcon
Corporation, a Delaware corporation (the "Company"), and Chase Bank of Texas,
National Association, as Trustee, entered into in connection with the issuance
of the Company's Senior Notes.

         In accordance with Section 321(b) of the Trust Indenture Act of 1939,
the undersigned hereby consents that reports of examinations of the undersigned,
made by Federal or State authorities authorized to make such examinations, may
be furnished by such authorities to the Securities and Exchange Commission upon
its request therefor.

                                      Very truly yours,

                                      CHASE BANK OF TEXAS, NATIONAL
                                       ASSOCIATION, as Trustee


                                      By: /s/ MAURI J. COWEN
                                          ------------------------------
                                              Mauri J. Cowen
                                          Vice President and Trust Officer





<PAGE>   11
                                Board of Governors of the Federal Reserve System
                                OMB Number: 7100-0036

                                Federal Deposit Insurance Corporation
                                OMB Number: 3064-0052

                                Office of the Comptroller of the Currency
                                OMB Number: 1557-0081
                                Expires March 31, 2001

FEDERAL FINANCIAL INSTITUTIONS EXAMINATION COUNCIL
- --------------------------------------------------------------------------------

                                                                             [1]
[LOGO]                                                   Please refer to page 1,
                                                         Table of contents, for
                                                         the required disclosure
                                                         of estimated burden.

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

CONSOLIDATED REPORTS OF CONDITION AND INCOME FOR
A BANK WITH DOMESTIC AND FOREIGN OFFICES - FFIEC 031
                                                     (19990331)
REPORT AT THE CLOSE OF BUSINESS MARCH 31, 1999      ------------
                                                     (RCRI 9999)

This report is required by law: 12 U.S.C. Section 324 (State member banks); 12
U.S.C. Section 1817 (State nonmember banks); and 12 U.S.C. Section 161
(National banks).

This report form is to be filed by banks with branches and consolidated
subsidiaries in U.S. territories and possessions, Edge or Agreement
subsidiaries, foreign branches, consolidated foreign subsidiaries, or
International Banking Facilities.

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NOTE: The Reports of Condition and Income must be signed by an authorized
officer and the Report of Condition must be attested to by not less than two
directors (trustees) for State nonmember banks and three directors for State 
member and National banks.

I, Jack Alexander
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   Name and Title of Officer Authorized to Sign Report

of the named bank do hereby declare that the Reports of Condition and Income
(including the supporting schedules) for this report date have been prepared in
conformance with the instructions issued by the appropriate Federal regulatory
authority and are true to the best of my knowledge and belief.

                               /s/ Jack Alexander
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Signature of Officer Authorized to Sign Report

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Date of Signature

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The Reports of Condition and Income are to be prepared in accordance with
Federal regulatory authority instructions.

We, the undersigned directors (trustees), attest to the correctness of the
Report of Condition (including the supporting schedules) for this report date
and declare that it has been examined by us and to the best of our knowledge
and belief has been prepared in conformance with the instructions issued by the
appropriate Federal regulatory authority and is true and correct.

                             /s/ Alan R. Buckwalter
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Director (Trustee)

                           /s/ Harriet S. Wassertrum
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Director (Trustee)

                            /s/ Beverly H. McCaskill
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Director (Trustee)

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SUBMISSION OF REPORTS

Each bank must prepare its Reports of Condition and Income either:

(a) in electronic form and then file the computer data file directly with the
    banking agencies' collection agent, Electronic Data Systems Corporation
    (EDS), by modem or on computer diskette; or

(b) in hard-copy (paper) form and arrange for another party to convert the paper
    report to electronic form. That party (if other than EDS) must transmit the
    bank's computer data file to EDS.

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FDIC Certificate Number     03263
                         -----------
                         (RCRI 9060)

For electronic filing assistance, contact EDS Call Report Services, 2150 N.
Prospect Ave., Milwaukee, WI 53202, telephone (800) 255-1571.

To fulfill the signature and attestation requirement for the Reports of
Condition and Income for this report date, attach this signature page (or a
photocopy or a computer-generated version of this page) to the hard-copy record
of the completed report that the bank places in its files.

CALL NO. 203                  31          03-31-99
STBK: 48-2926 00373 STCERT: 48-03263
CHASE BANK OF TEXAS, NATIONAL ASSOCIATION
712 MAIN STREET
HOUSTON, TX 77001


  Board of Governors of the Federal Reserve System, Federal Deposit Insurance
             Corporation, Office of the Comptroller of the Currency
<PAGE>   12
   
                                                                       EXHIBIT 7


BALANCE SHEET


<TABLE>
<CAPTION>
                                                                Dollar Amounts in Thousands  Bil Mil Thou
- -----------------------------------------------------------------------------------------------------------
<S>                                                                              <C>         <C>
ASSETS
  1. Cash and balance due from depository institutions (from Schedule RC-A):                
     a. Noninterest-bearing balances and currency and coin (1).............................    2,733,340
     b. Interest-bearing balances(2).......................................................          200
  2. Securities:
     a. Held-to-maturity securities (from Schedule RC-B, column A).........................      162,617
     b. Available-for-sale securities (from Schedule RC-B, column D).......................    4,682,908
  3. Federal funds sold and securities purchased under agreements to resell................      341,798
  4. Loans and lease financing receivables:
     a. Loans and leases, net of unearned income (from Schedule RC-C).......... 14,328,112
     b. LESS: Allowance for loan and lease losses...............................    211,040
     c. LESS: Allocated transfer risk reserve...................................          0
     d. Loans and leases, net of unearned income, allowance, 
        and reserve (item 4.a minus 4.b and 4.c)...........................................   14,118,072
  5. Trading assets (from Schedule RC-D)...................................................       88,754
  6. Premises and fixed assets (including capitalized leases)..............................      678,544
  7. Other real estate owned (from Schedule RC-M)..........................................          472
  8. Investments in unconsolidated subsidiaries and associated companies 
     (from Schedule RC-M)..................................................................        4,121
  9. Customers' liability to this bank on acceptances outstanding..........................        8,179
 10. Intangible assets (from Schedule RC-M)................................................      364,677
 11. Other assets (from Schedule RC-F).....................................................      284,527
 12. Total assets (sum of items 1 through 11)..............................................   23,468,209
</TABLE>
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 (1) Includes cash items in process of collection and unposted debits.
 (2) Includes time certificates of deposit not held for trading.
    
<PAGE>   13

   

SCHEDULE RC--CONTINUED


<TABLE>
<CAPTION>
                                                     Dollar Amounts in Thousands       Bil Mil Thou
- ----------------------------------------------------------------------------------------------------
<S>                                                                 <C>                <C>
LIABILITIES
 13. Deposits:
     a. In domestic offices (sum of totals of columns A and C from
        Schedule RC-E, part I)..................................................        18,552,333
        (1) Noninterest-bearing(1).................................... 8,788,122
        (2) Interest-bearing.......................................... 9,764,211
     b. In foreign offices, Edge and Agreement subsidiaries, and
        IBFs (from Schedule RC-E, part II)......................................           556,836
        (1) Noninterest-bearing.......................................         0
        (2) Interest-bearing..........................................   556,836
 14. Federal funds purchased and securities sold under agreements 
     to repurchase..............................................................         1,501,701
 15. a. Demand notes issued to the U.S. Treasury................................           258,338
     b. Trading liabilities (from Schedule RC-D)................................            86,810
 16. Other borrowed money (includes mortgage indebtedness and obligations
     under capitalized leases):
     a. With a remaining maturity of one year or less...........................            57,144
     b. With a remaining maturity of more than one year through three years.....                 0
     c. With a remaining maturity of more than three years......................            15,043
 17. Not applicable
 18. Bank's liability on acceptances executed and outstanding...................             8,179
 19. Subordinated notes and debentures(2).......................................           445,000
 20. Other liabilities (from Schedule RC-G).....................................           184,960
 21. Total liabilities (sum of items 13 through 20).............................        21,666,344
 22. Not applicable
 EQUITY CAPITAL
 23. Perpetual preferred stock and related surplus..............................                 0
 24. Common stock...............................................................           612,893
 25. Surplus (exclude all surplus related to preferred stock)...................           924,674
 26. a. Undivided profits and capital reserves..................................           280,608
     b. Net unrealized holding gains (losses) on available-for-sale securities..           (16,310)
     c. Accumulated net gains (losses) on cash flow hedges......................                 0
 27. Cumulative foreign currency translation adjustments........................                 0
 28. Total equity capital (sum of items 23 through 27)..........................         1,801,865
 29. Total liabilities and equity capital (sum of items 21 and 28)..............        23,468,209
</TABLE>

Memorandum

TO BE REPORTED ONLY WITH THE MARCH REPORT OF CONDITION.

<TABLE>
<S> <C>                                                                             <C>             <C>
1.  Indicate in the box at the right the number of the statement below that best
    describes the most comprehensive level of auditing work performed for the                       Number
    bank by independent external auditors as of any date during 1998............     RCFD 6724         2   M.1.
</TABLE>      

<TABLE>
<S> <C>
1 - Independent audit of the bank conducted in accordance with generally accepted auditing standards by a 
    certified public accounting firm which submits a report on the bank

2 - Independent audit of the bank's parent holding company conducted in accordance with generally accepted  
    auditing standards by a certified public accounting firm which submits a report on the consolidated 
    holding company (but not on the bank separately)

3 - Directors' examination of the bank conducted in accordance with generally accepted auditing standards
    by a certified public accounting firm (may be required by state chartering authority)

4 - Directors' examination of the bank performed by other external auditors (may be required by state
    chartering authority)

5 - Review of the bank's financial statements by external auditors

6 - Compilation of the bank's financial statements by external auditors

7 - Other audit procedures (excluding tax preparation work)

8 - No external audit work
</TABLE>
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(1) Includes total demand deposits and noninterest-bearing time and 
    savings deposits.
(2) Includes limited-life preferred stock and related surplus. 
    


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