TRANSOCEAN OFFSHORE INC
10-K, 1997-03-21
DRILLING OIL & GAS WELLS
Previous: SANTA ANITA OPERATING CO, SC 13D/A, 1997-03-21
Next: TIMBERLINE SOFTWARE CORPORATION, DEF 14A, 1997-03-21



<PAGE>
 
- -------------------------------------------------------------------------------
- -------------------------------------------------------------------------------
 
                                 UNITED STATES
                      SECURITIES AND EXCHANGE COMMISSION
                            WASHINGTON, D.C. 20549
 
                               ----------------
 
                                   FORM 10-K
 
 ANNUAL REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT
                                    OF 1934
 
                  For the fiscal year ended December 31, 1996
 
                         Commission file number 1-7746
 
                               ----------------
 
                           TRANSOCEAN OFFSHORE INC.
            (Exact name of registrant as specified in its charter)
 
                               ----------------
 
              DELAWARE                                 72-0464968
    (State or other jurisdiction                    (I.R.S. Employer
  of incorporation or organization)                Identification No.)
 
 
          4 GREENWAY PLAZA                                77046
           HOUSTON, TEXAS                              (Zip Code)
   (Address of principal executive
              offices)
 
      Registrant's telephone number, including area code: (713) 871-7500
 
          SECURITIES REGISTERED PURSUANT TO SECTION 12(B) OF THE ACT:
 
<TABLE>
<CAPTION>
             TITLE OF CLASS          EXCHANGE ON WHICH REGISTERED
             --------------          ----------------------------
      <S>                            <C>
      Common Stock, $0.01 par value  New York Stock Exchange, Inc.
</TABLE>
 
       SECURITIES REGISTERED PURSUANT TO SECTION 12(G) OF THE ACT: None
 
  Indicate by check mark whether the registrant (1) has filed all reports
required to be filed by Section 13 or 15(d) of the Securities Exchange Act of
1934 during the preceding 12 months (or for such shorter period that the
registrant was required to file such reports), and (2) has been subject to
such filing requirements for the past 90 days. Yes  X  No
 
  Indicate by check mark if disclosure of delinquent filers pursuant to Item
405 of Regulation S-K is not contained herein, and will not be contained, to
the best of registrant's knowledge, in definitive proxy or information
statements incorporated by reference in Part III of this Form 10-K or any
amendment to this Form 10-K. [ ]
 
  As of February 28, 1997, 50,638,548 shares of common stock were outstanding
and the aggregate market value of shares held by non-affiliates was
approximately $2.8 billion (based on the reported closing market price of the
common stock on such date and assuming that all directors and executive
officers of the Company are "affiliates," although the Company does not
acknowledge that any such person is actually an "affiliate" within the meaning
of the federal securities laws.)
 
                      DOCUMENTS INCORPORATED BY REFERENCE
 
  Portions of the registrant's definitive Proxy Statement to be filed with the
Securities and Exchange Commission within 120 days of December 31, 1996, for
its annual meeting of stockholders to be held May 8, 1997, are incorporated by
reference into Part III of this Form 10-K.
 
- -------------------------------------------------------------------------------
- -------------------------------------------------------------------------------
<PAGE>
 
                            TRANSOCEAN OFFSHORE INC.
 
                          INDEX TO REPORT ON FORM 10-K
 
                      FOR THE YEAR ENDED DECEMBER 31, 1996
 
<TABLE>
<CAPTION>
   ITEM                                                                    PAGE
   ----                                                                    ----
 <C>      <S>                                                              <C>
 PART I
          ITEMS 1 THROUGH 4
 Item 1.  Business......................................................     1
             Background.................................................     1
             Business Strategy..........................................     1
             Drilling Rig Fleet.........................................     2
             Drilling Services..........................................     5
             Drilling Contracts.........................................     6
             Arcade Drilling............................................     7
             Industry Conditions and Competition........................     8
             Operating Risks............................................     8
             International Operations...................................     9
             Regulation.................................................    10
             Employees..................................................    11
 Item 2.  Properties....................................................    11
 Item 3.  Legal Proceedings.............................................    11
 Item 4.  Submission of Matters to a Vote of Security Holders...........    12
 PART II
          ITEMS 5 THROUGH 9
 Item 5.  Market for the Registrant's Common Stock and Related
          Stockholder Matters...........................................    14
 Item 6.  Selected Consolidated Financial Data..........................    15
 Item 7.  Management's Discussion and Analysis of Financial Condition
          and Results of Operations.....................................    15
 Item 8.  Financial Statements and Supplementary Data...................    26
 Item 9.  Changes in and Disagreements With Accountants on Accounting
          and Financial Disclosure......................................    54
 PART III
          ITEMS 10 THROUGH 13
 Item 10. Directors and Executive Officers of the Registrant............    55
 Item 11. Executive Compensation........................................    55
 Item 12. Security Ownership and Certain Beneficial Owners and
          Management....................................................    55
 Item 13. Certain Relationships and Related Transactions................    55
 PART IV
 Item 14. Exhibits, Financial Statement Schedules and Reports on Form 
          8-K...........................................................    56
</TABLE>
<PAGE>
 
                                    PART I
 
ITEM 1. BUSINESS
 
  Transocean Offshore Inc. (together with its subsidiaries, unless the context
requires otherwise, the "Company") is a leading international provider of
deepwater and harsh environment contract drilling services for oil and gas
wells. The Company currently has ownership interests in or operates under
varying arrangements 30 mobile offshore drilling rigs, consisting of seven
fourth-generation semisubmersibles, fourteen other semisubmersibles, three
drillships and six jackup rigs. In addition, the Company has contracted with a
Spanish shipyard for construction of a new state-of-the-art dynamically
positioned drillship. The Company provides these drilling rigs, related
equipment and work crews to its customers on a dayrate or turnkey basis to
drill wells at offshore locations for which these customers hold drilling
rights. The Company also provides its customers other related services,
including well engineering and planning, and through its Transocean ASA
subsidiary, performs platform drilling, well intervention and engineering and
construction services.
 
  Transocean Offshore Inc. is a Delaware corporation with its principal
executive office located at 4 Greenway Plaza, Houston, Texas 77046. Its
telephone number at that address is (713) 871-7500.
 
BACKGROUND
 
  The Company was founded in 1953 to develop the first jackup rig in the Gulf
of Mexico. The Company began international drilling operations in the late
1950s and was one of the first contractors to offer drilling services in the
North Sea. Prior to 1982, the Company operated under the name "The Offshore
Company" and from 1982 to September 1996 was known as "Sonat Offshore Drilling
Inc."
 
  In June 1993, the Company completed an initial public offering of 15,500,000
shares of common stock, approximately 60 percent of the total issued and
outstanding shares. Prior to the offering, the Company was a wholly owned
subsidiary of Sonat Inc. ("Sonat"), which continued to own approximately 40
percent of the outstanding shares of the Company following the offering. In
July 1995, Sonat sold its remaining interest in the Company through a
secondary public offering and currently owns no capital stock of the Company.
 
  In September 1996, the Company acquired approximately 94 percent of the
outstanding capital shares of Transocean ASA, a Norwegian joint stock company
(the "Combination"). The purchase price for the shares of Transocean ASA
acquired in the Combination consisted of approximately 22.9 million shares of
common stock of the Company and approximately $207 million in cash. During
November and December 1996, the Company acquired additional shares of
Transocean ASA for approximately $91 million in cash, bringing its total
ownership of Transocean ASA to over 99 percent. The Combination was deemed
effective for accounting purposes as of September 1, 1996. The Company is
currently in the process of acquiring all remaining outstanding shares of
Transocean ASA.
 
  At the time of the Combination, Transocean ASA was a leading offshore
drilling contractor in the deepwater and harsh environment markets, operating
a fleet of 13 mobile offshore drilling units (12 of which were owned 100
percent by Transocean ASA and one of which was operated under a management
contract). Transocean ASA was founded in Norway in 1972 under the name Morco
Norge A/S to serve as a drilling contractor on the Norwegian Continental Shelf
of the North Sea. Subsequently, Transocean ASA expanded its operations through
a series of strategic acquisitions, including Ross Offshore in 1994 and Wilrig
AS in 1995.
 
BUSINESS STRATEGY
 
  The Company's strategy is to concentrate its resources in the technically
demanding segment of the offshore drilling industry, particularly in the ultra
deepwater and harsh environment markets. The Company is committed to achieving
long-term growth within this strategic niche. Consistent with this strategy,
(i) in February 1996 the Company agreed to purchase and convert a
semisubmersible multi-service vessel, the MSV P.Portia (to be renamed, and
referred to herein as, the "Transocean Marianas"), to an ultra deepwater
drilling rig, (ii) in May 1996, the Company announced plans to construct the
world's largest deepwater mobile offshore drilling rig, to be called the
"Discoverer Enterprise," and to purchase and upgrade for deepwater drilling
capability a second-generation
 
                                       1
<PAGE>
 
semisubmersible, renamed the "Transocean Amirante," and (iii) in September
1996, the Company acquired Transocean ASA in the Combination. The Company
plans to continue to invest in its existing fleet and to review opportunities
for fleet additions to meet increasing customer demand. The Company also plans
to utilize its foreign operating experience and engineering expertise to
capitalize on turnkey and drilling services opportunities worldwide. See "--
Background" and "--Drilling Rig Fleet".
 
DRILLING RIG FLEET
 
  The Company principally uses the following three types of rigs:
 
[GRAPHIC]    SEMISUBMERSIBLES.           [GRAPHIC]      DRILLSHIPS. Drillships
             Semisubmersibles are                       are generally self-
             floating vessels that                      propelled and designed
             can be submerged so                        to drill in deep
             that a substantial                         water. Shaped like a
             portion of the lower                       conventional ship,
             hull is below the                          they are the most
             water surface during                       mobile of the major
             drilling operations.                       rig types.
             They are well suited
             for operations in
             rough water
             conditions.
 
[GRAPHIC]    JACKUPS. Jackups stand
             on the ocean floor
             with their hull and
             drilling equipment
             elevated above the
             water on connected
             support legs. They are
             best suited for water
             depths of 350 feet or
             less.
 
  As exploration for oil and gas has increasingly moved into deeper and more
demanding offshore environments, the Company has focused its business on the
technically demanding deepwater and harsh environment segments. The Company
has historically been a leader in the development of offshore drilling
technology, and in recent years the Company has selectively upgraded its fleet
of technically advanced drilling units to be able to drill in deeper water and
under harsher environmental conditions. The Company drilled all six wells in
over 5,000 feet of water that commenced drilling in 1996. The Company also
maintains a fleet of jackup and semisubmersible rigs that provide cost-
efficient equipment suitable for work in less demanding offshore drilling
environments.
 
  As of March 1, 1997, the Company had ownership interests in or operated
seven fourth-generation semisubmersibles, fourteen other semisubmersibles,
three drillships and six jackup rigs. Of these rigs, one was operated pursuant
to a bareboat charter (Discoverer 511), one was operated pursuant to a
management agreement (Kan Tan IV), two were owned by a corporation in which
the Company has an approximate 25 percent equity interest (Paul B. Loyd, Jr.
and Henry Goodrich) and the remainder were owned 100 percent by the Company.
 
  All of the Company's drilling equipment is suitable for both exploration and
development drilling, and the Company is normally engaged in both types of
drilling activity. The Company's drilling rigs are mobile and can be moved to
new locations in response to customer demand. All of the Company's offshore
drilling units are designed for operations away from port for extended periods
of time and have living quarters for the crews, a helicopter landing deck and
storage space for pipe and drilling supplies.
 
  The Company's fleet is currently located principally in the Gulf of Mexico,
the North Sea, the Middle East and offshore Brazil and West Africa. The
Company also maintains offices, land bases and other facilities worldwide,
including in Houston, Texas; Metairie, Amelia and Morgan City, Louisiana;
Macae, Brazil; Aberdeen, Scotland; Cairo and Ras Shukhair, Egypt; Bergen and
Tananger, Norway; Ciudad Del Carmen, Mexico; Singapore; Bombay, India; Lagos
and Port Harcourt, Nigeria; and Sharjah, United Arab Emirates. Most of these
facilities are leased by the Company.
 
                                       2
<PAGE>
 
 Semisubmersibles
 
  The Company operates five of the world's thirteen operational fourth-
generation semisubmersibles and has an ownership interest in two others
through a corporation in which the Company has an approximate 25% equity
interest. See "--Arcade Drilling." Fourth-generation semisubmersibles are
those built after 1984 that have larger physical size than other
semisubmersibles, harsh environment capability, high variable load capability
(greater than 4,000 metric tons), 15,000 psi blowout preventers and superior
motion characteristics. Fourth-generation semisubmersibles are frequently the
most suitable for operations in deep water and harsh environments or for
development drilling that requires larger variable loads and the ability to
handle large pieces of subsea equipment. Two of these units are operating in
the U.S. Gulf of Mexico, two are operating in the Norwegian sector of the
North Sea and three are operating in the U.K. sector of the North Sea. The
Company also owns or operates fourteen other semisubmersibles, including the
Transocean Marianas and the Transocean Amirante, both of which are currently
in shipyards being upgraded.
 
  In February 1996, the Company contracted to purchase and convert the
Transocean Marianas. The purchase price was approximately $40 million. The
vessel is being upgraded and converted to an ultra-deepwater semisubmersible
drilling rig with a water depth capability of 7,000 feet at a total cost of
approximately $190 million, of which $65.8 million was spent in 1996. It is
expected that the rig will be placed in service in the fourth quarter of 1997.
The Company has a letter of intent with Shell Offshore regarding a three-year
contract (subject to being increased to five years at the customer's option)
for the rig following its purchase and conversion. In connection with the
contract with Amoco Exploration and Production Company ("Amoco") described
below, the Company also purchased the Transocean Amirante, a second-generation
semisubmersible, for approximately $32 million in June 1996. The rig will be
upgraded at a cost of approximately $53 million and is expected to be
operational by the second quarter of 1997. See "--Drillships" and "Item 7.
Management's Discussion and Analysis of Financial Condition and Results of
Operations--Liquidity and Capital Resources."
 
 Drillships
 
  The Company owns two dynamically positioned drillships, which have drilled
in deeper water than any other offshore drilling rig. Dynamic positioning
allows a vessel to maintain a constant position through the use of its on-
board propulsion system. The Company's dynamically positioned drillships,
Discoverer Seven Seas and Discoverer 534, set two current world records for
deepwater drilling in connection with projects during 1987 and 1996 for Shell
and Amoco, respectively. In addition, the Company operates the drillship
Discoverer 511 pursuant to a bareboat charter agreement entered into with the
Ghana National Petroleum Corporation ("GNPC") in November 1996. The agreement
has a minimum term of two years commencing in March 1997 and calls for minimum
charter hire payments totaling $8.8 million. The Discoverer 511 entered a U.S.
Gulf Coast shipyard in December 1996 for refurbishment, which was completed in
March 1997. The Company's portion of this refurbishment is not expected to
exceed $3 million. The drillship has been deployed in connection with a three-
well turnkey drilling project with Petroleos Mexicanos ("Pemex"), which was
awarded to the Company in January 1997. See "Item 7. Management's Discussion
and Analysis of Financial Condition and Results of Operations--Liquidity and
Capital Resources."
 
  In May 1996, the Company announced plans to construct the world's largest
deepwater mobile offshore drilling rig, to be called the "Discoverer
Enterprise," which will initially be outfitted to drill in 7,000 feet of water
but will be capable of exploration and development drilling in water depths of
up to 10,000 feet. In July 1996, the Company contracted with Astilleros y
Talleres de Noroeste S.A., a Spanish shipyard, to commence construction of the
hull and major marine systems for approximately $75 million. The Company
expended approximately $37 million on the project during 1996. Remaining
project expenditures are estimated to be $165 million in 1997 and $90 million
in 1998. The Discoverer Enterprise will be a dynamically positioned drillship
equipped with a dual-activity drilling system, which is designed to allow
certain steps in drilling a well to be performed simultaneously, thereby
reducing the time required to drill the well and resulting in significant cost
savings. The Company has prepared and filed an application for a patent with
the U.S. Patent and Trademark Office with respect to this system. The Company
and Amoco have entered into an agreement under which the Company will provide
the Discoverer Enterprise and the Transocean Amirante to Amoco for a combined
minimum commitment of six years. The Discoverer Enterprise is expected to be
operational by the third quarter
 
                                       3
<PAGE>
 
of 1998. The Company's obligation to accept delivery and ownership of the rig
is subject to various contingencies, including the rig's meeting certain
performance criteria and the shipbuilder's completing the rig within the
contract time period. In connection with the construction of the Discoverer
Enterprise and upgrade of the Transocean Amirante, the Company entered into a
secured credit agreement with a syndicate of banks led by ABN AMRO Bank N.V.
effective December 27, 1996. Under the credit agreement, approximately $340
million is available for drawdown during the construction period. See "Item 7.
Management's Discussion and Analysis of Financial Condition and Results of
Operations--Liquidity and Capital Resources."
 
 Jackup Rigs
 
  The Company operates six jackup rigs. Additionally, pursuant to an agreement
between Transocean ASA and Global Marine, Inc. ("Global Marine"), the Company
participates in the cash flow from three jackup rigs which are owned and
operated by Global Marine, and Global Marine participates in the cash flow
from a jackup rig, the Transocean Nordic, owned by Transocean ASA. In January
1996, the Company's jackup rig Offshore Bahram sank while in tow offshore
Egypt. All personnel were evacuated without injury. The Company sold the rig
in June 1996 for a net pre-tax gain of approximately $6.6 million.
 
  The following table provides certain information about the Company's
drilling rig fleet as of March 1, 1997:
 
                              DRILLING RIG FLEET
 
<TABLE>
<CAPTION>
                           YEAR      WATER     DRILLING                                          ESTIMATED
                          ENTERED    DEPTH      DEPTH                                            CONTRACT
     TYPE AND NAME        SERVICE  CAPABILITY CAPABILITY      LOCATION           CUSTOMER      EXPIRATION(1)
     -------------       --------- ---------- ---------- ------------------- ----------------- -------------
                                         (IN FEET)
<S>                      <C>       <C>        <C>        <C>                 <C>               <C>
FOURTH-GENERATION
 SEMISUBMERSIBLES
Polar Pioneer..........    1985      1,500      25,000   Norway-North Sea    Norsk Hydro       February 1998
Transocean Arctic......    1986      1,650      25,000   Norway-North Sea    Saga              April 1997
                                                                             Statoil           December 1998
Henry Goodrich(2)......    1985      2,000      30,000   U.K.--North Sea     British Petroleum December 1998
Paul B. Loyd,
 Jr.(2)(3).............    1991      2,000      25,000   U.K.--North Sea     British Petroleum December 1998
Transocean Rather......    1988      4,500      25,000   U.S. Gulf of Mexico Shell Offshore    July 1998
Transocean No. 8(4)....    1987      4,500      25,000   U.K.--North Sea     Amerada Hess      June 1999
Sonat Richardson.......    1988      5,000      25,000   U.S. Gulf of Mexico Shell Offshore    February 1999
OTHER SEMISUBMERSIBLES
Sonat D-F 97(5)........    1977        660      25,000   U.S. Gulf of Mexico Burlington Res.   July 1997
                                                                             Texaco            August 1998
Transocean Explorer....    1976      1,250      25,000   U.K.--North Sea     Total             May 1997
                                                                             Marathon          January 1998
Transocean Discoverer..    1977      1,250      25,000   U.K.--North Sea     Amerada Hess      December 1997
                                                                             Talisman          July 1999
Transocean Wildcat(6)..    1977      1,300      25,000   Norway--North Sea   Statoil           December 1999
Treasure Saga(6).......    1983      1,500      25,000   Norway--North Sea   Norsk Hydro       April 1997
                                                                             Statoil           May 1999
Transocean Searcher(6).    1983      1,500      25,000   Norway--North Sea   Statoil           June 2002
Transocean Prospect(6).    1983      1,500      25,000   Norway--North Sea   Statoil           February 1999
Kan Tan IV(7)..........    1983      2,000      25,000   U.K.--North Sea     Amerada Hess      December 1997
Transocean John Shaw...    1982      2,000      25,000   U.K.--North Sea     Shell Expro       January 1999
Sonat D-F 96...........    1975      2,300      25,000   U.S. Gulf of Mexico Texaco            May 1998
Transocean Driller.....    1991      2,600      25,000   Nigeria             Statoil           August 1997
Treasure Legend........    1983      3,500      25,000   Brazil              Petrobras         December 1997
Transocean Amirante(8).  1978/1997   3,500      25,000   U.S. Gulf of Mexico Amoco             May 1998
Transocean Marianas(9).  1979/1997   7,000      25,000   U.S. Gulf of Mexico Shell Offshore    October 2000
DRILLSHIPS
Discoverer 511(10).....  1976/1997   2,000      25,000   Mexico              Pemex             March 1999
Discoverer Seven
 Seas(3)...............    1976      6,500      25,000   U.S. Gulf of Mexico Exxon             May 1999
Discoverer 534(3)......    1975      7,800      25,000   U.S. Gulf of Mexico Amoco             February 1998
JACKUP RIGS
Offshore Jupiter(11)...    1981        130      16,000   Persian Gulf        Bunduq            April 1997
Offshore Comet.........    1980        250      20,000   Gulf of Suez        GUPCO             October 1997
Offshore Mercury.......    1969        250      20,000   Gulf of Suez        GUPCO             October 1997
Interocean III.........    1978        300      20,000   India               Enron             December 1997
Shelf Explorer.........    1982        300      25,000   Denmark--North Sea  Maersk            May 1998
Transocean Nordic(12)..    1984        300      25,000   Norway--North Sea   Amoco             April 1998
</TABLE>
 
                                       4
<PAGE>
 
- --------
 (1) Expiration dates represent the Company's current estimate of the earliest
     date the contract for each rig is likely to expire. Many contracts permit
     the customer to terminate early or to extend the contract. See "--
     Drilling Contracts."
 (2) Owned by a corporation in which the Company has a 25% interest and which
     is controlled by a competitor; managed by the competitor. See "--Arcade
     Drilling."
 (3) Dynamically positioned.
 (4) Upgrade to 4,500 feet expected to be completed in the second quarter of
     1997.
 (5) Upgrade to 2,000 feet planned.
 (6) Participating in Statoil cooperation agreement. See "--Drilling
     Contracts."
 (7) Operated pursuant to a management contract.
 (8) Originally constructed in 1978, with upgrade expected to be completed in
     1997. The agreement with Amoco provides, in conjunction with construction
     of a drillship to be named the Discoverer Enterprise, for minimum
     combined contract period of six years. See "--Drilling Rig Fleet--
     Semisubmersibles" and "--Drillships."
 (9) Originally constructed in 1979, with upgrade and conversion to drilling
     mode expected to be completed in 1997. The Company has a letter of intent
     with Shell Offshore for a three-year contract expected to commence fourth
     quarter 1997. See "--Drilling Rig Fleet--Semisubmersibles."
(10) Operated under a bareboat charter with GNPC. Originally constructed in
     1976 with refurbishment completed in March 1997.
(11) Upgrade to 170 feet planned.
(12) Operated pursuant to the Cooperation Agreement with Global Marine. See
     "--Drilling Rig Fleet--Jackup Rigs."
 
  Upon the expiration of existing contracts, there can be no assurance that
such contracts will be renewed or extended, that new contracts will be
available or, if contracts are available, that they will provide revenues
adequate to cover all fixed and variable costs associated with the rigs.
 
DRILLING SERVICES
 
 Integrated Drilling Services
 
  The Company uses its engineering expertise to provide integrated well
engineering and planning services to customers. These services are provided
through service teams generally consisting of Company personnel and third-
party subcontractors, with the Company serving as lead contractor. The work
generally consists of individual contractual agreements to meet specific
customer needs and may be provided on either a dayrate or fixed price basis.
As of March 1, 1997, the Company was performing such services under contracts
in the U.K. sector of the North Sea and in the U.S. Gulf of Mexico.
 
 Platform Drilling, Well Intervention and Engineering and Construction
Services
 
  The Company's Transocean ASA subsidiary conducts platform drilling and well
intervention through its wholly owned subsidiary Transocean Petroleum
Technology AS ("TPT"). TPT is involved in production drilling and maintenance
on fixed installations in the Norwegian sector of the North Sea. As of March
1, 1997, TPT had platform drilling contracts on five Norwegian fields:
Gullfaks, Valhall, Snorre, Troll and Heidrun. The drilling contract with
Statoil for work on Gullfaks A, B and C calls for two combined drilling and
maintenance crews, and the drilling contracts for Amoco on the Valhall field
and for Saga on the Snorre field call for one combined drilling and
maintenance crew per installation. TPT also provides well intervention
services, including coiled tubing, nitrogen and hydraulic workover services,
and owns several highly specialized coiled tubing units. In addition, TPT
performs directional drilling services in the U.K. sector of the North Sea.
 
  The Company provides engineering services and studies and upgrading,
modification and construction of drilling facilities and drilling equipment
through its Transocean ASA subsidiary. In cooperation with other business
areas in the Company, the engineering and construction business coordinates
the development of technology, including the development of new conceptual
solutions for offshore drilling. Major recent developments include a cutting
reinjection system, a rig-up frame for coiled tubing systems and a hydraulic
workover rig currently being constructed by TPT.
 
  In March 1997, the Company announced its intention to divest certain of its
non-core activities and associated assets, including its platform drilling and
maintenance, lightweight drilling and workover and engineering and
construction activities. The Company will continue to operate the coiled
tubing business of TPT. The Company has retained Oslo-based Pareto Fonds to
structure the divested activities into a new corporate entity, which will be
sold to investors in Norway and subsequently listed on the Oslo Stock
Exchange. Revenues
 
                                       5
<PAGE>
 
generated from the business activities to be divested totaled approximately
$110 million during the full year 1996 (including the period prior to the
Combination). The transaction is expected to be completed by the end of the
second quarter of 1997. See "Item 7. Management's Discussion and Analysis of
Financial Condition and Results of Operations--Liquidity and Capital
Resources."
 
DRILLING CONTRACTS
 
  The Company's contracts to provide offshore drilling services are
individually negotiated and vary in their terms and provisions. The Company
obtains most of its contracts through competitive bidding against other
contractors. In some cases, the Company may be awarded drilling contracts for
its deepwater and harsh environment units without competitive bidding.
Drilling contracts generally provide for a basic drilling rate on a dayrate
basis and for lower rates for periods of travel or when drilling operations
are interrupted or restricted by equipment breakdowns, adverse environmental
conditions or other conditions beyond the control of the Company. The Company
also performs drilling services under turnkey contracts, which provide for
payment of a fixed price per well. Revenues from dayrate contracts have
historically accounted for substantially more of the Company's revenues than
turnkey contracts. See "Item 7. Management's Discussion and Analysis of
Financial Condition and Results of Operations--Operating Results."
 
  A dayrate drilling contract generally extends over a period of time covering
either the drilling of a single well or group of wells or covering a stated
term and may be terminated by the customer in the event the drilling unit is
destroyed or lost or if drilling operations are suspended for a specified
period of time as a result of a breakdown of major equipment or, in some
cases, due to other events beyond the control of either party. Many of the
Company's contracts permit the customer to terminate the contract early by
giving notice and in some circumstances may require the payment of an early
termination fee by the customer. In addition, the contract term in many
instances may be extended by the customer exercising options for the drilling
of additional wells or for an additional term.
 
  Under turnkey contracts, the Company agrees to drill a well to a specified
depth for a fixed price. In general, no payment is received by the Company
unless the well is drilled to the specified depth. The Company must bear the
costs of performing drilling services until the well has been drilled and,
accordingly, such projects may require significant cash commitments by the
Company. In addition, profitability of the contract is dependent upon keeping
expenses within the estimates used by the Company in determining the contract
price. In performing a turnkey project, the Company employs a drilling unit
from its own fleet or from another contractor under a dayrate contract.
Drilling a well under a turnkey contract offers the possibility of financial
gains or losses that are substantially greater than those which would
ordinarily result from drilling such well under a conventional dayrate
contract, since the Company retains any excess of the fixed price over its
expenses (including the drilling unit dayrate) but must pay any excess of
expenses over such price. The financial results of turnkey contracts depend
upon the performance of the drilling unit, drilling conditions and other
factors.
 
  In 1987, the Company entered into a partnership with Petroleum Engineers
International Inc. ("PEII") of Lafayette, Louisiana, a firm that specializes
in well planning, to provide petroleum engineering and related expertise on
turnkey projects in the U. S. Gulf of Mexico. PEII has worked on most of the
Company's turnkey projects since 1987 in exchange for fixed fees and an equity
participation in those projects. In 1996, the Company and PEII formed a
separate joint venture company to participate in subsequent turnkey projects.
The Company believes that its operating and engineering expertise enhances its
ability to compete for and complete turnkey contracts successfully. However,
no assurance can be given as to the level of future turnkey operations or the
results that may occur under turnkey contracts. See "Item 7. Management's
Discussion and Analysis of Financial Condition and Results of Operations--
Market Outlook."
 
  In July 1995, Statoil, an oil company owned by the Norwegian government, and
the Company's Transocean ASA subsidiary signed a cooperation agreement. The
agreement extends for 10 years and provides for
 
                                       6
<PAGE>
 
four mobile offshore rigs (Transocean Prospect, Transocean Searcher, Treasure
Saga and Transocean Wildcat) to be contracted to Statoil for estimated periods
ranging from 2 1/2 to 4 years, with options to extend the contracts at market
rates in minimum one-year intervals for the remainder of the 10-year term. The
dayrate for the initial periods of these contracts is fixed except for certain
cost escalation provisions. The agreement further provides on certain
conditions for Statoil to use Transocean ASA's services on Statoil's fixed
installations, Gullfaks A, B and C, Troll and Heidrun.
 
  Transocean ASA's platform drilling contracts are typically long-term
agreements with a duration of two to five years plus extension options for the
customer and are otherwise generally similar to those for mobile offshore
rigs. Likewise, Transocean ASA's well services contracts typically have a
duration of two to five years. Under these well services contracts, the
Company may work on a "call-out" or "as requested" basis and the level of
business activity generally varies according to customers' needs.
 
  Some of the Company's customers are seeking to establish continuing
relationships with a small number of preferred drilling contractors rather
than seeking competitive bids for each drilling contract from a large number
of contractors. In some circumstances, to acquire preferred contractor status,
a drilling contractor must be able to provide services such as planning, well
engineering and project management, which are in addition to traditional
drilling services. The Company believes that those contractors who are able to
provide the highest quality and the greatest range of services will be the
ones to achieve preferred contractor status. The Company also believes that
its operational and engineering expertise may provide it an advantage in
competing for this work.
 
  During the past five years, the Company has engaged in offshore drilling for
most of the leading international oil companies (or their affiliates) in the
world, as well as for many government-controlled and independent oil
companies. During this period, the Company's principal customers included the
Royal Dutch Shell Group, Texaco, British Petroleum, Pemex, Gulf of Suez
Petroleum Company ("GUPCO"), Amoco, Petrobras and Norsk Hydro. The Company's
four largest unaffiliated customers in 1996 were the Royal Dutch Shell Group,
Statoil, Norsk Hydro and Amerada Hess, accounting for 27.8 percent, 12.9
percent, 9.2 percent and 7.2 percent, respectively, of the Company's 1996
consolidated operating revenues.
 
ARCADE DRILLING
 
  In December 1990, the Company contributed one of its fourth-generation,
harsh environment semisubmersibles, the Henry Goodrich, to Arcade Drilling as
("Arcade Drilling"), a Norwegian joint stock company then listed on the Oslo
Stock Exchange, for $70 million in cash and 21.75 percent of Arcade Drilling's
common shares. Arcade Drilling also owned another fourth-generation, harsh-
environment drilling rig, the Paul B. Loyd, Jr. At that time, the Company was
engaged by Arcade Drilling to manage both of Arcade Drilling's rigs under
five-year management agreements. Through purchase of additional shares of
Arcade Drilling on the open market, the Company increased its interest in
Arcade Drilling to approximately 25 percent.
 
  In August 1991, Reading & Bates Corporation ("R&B"), a competitor of the
Company, acquired effective control of Arcade Shipping as ("Shipping"), which
at that time owned a 46.25 percent interest in Arcade Drilling. R&B's control
of Shipping, together with the shares of Arcade Drilling that it owned
outright, gave R&B control of Arcade Drilling. In August 1991, R&B, Shipping
and the Company entered into a standstill agreement providing that R&B and
Shipping would not during the standstill period, subject to certain
exceptions, enter into a business combination with Arcade Drilling, engage in
any transaction with Arcade Drilling on terms less favorable to it than those
which might be obtained from an unaffiliated third party, acquire the Paul B.
Loyd, Jr. or the Henry Goodrich or permit Arcade Drilling to dispose of any
interest in such rigs except for a cash sale of its entire interest at an
appraised price. This standstill period continues (as to R&B and its
affiliates) until September 1, 1998, barring an earlier disposition of
interest by the Company or Shipping. Pursuant to the standstill agreement, the
Company, Shipping and R&B have agreed not to buy or sell any of their
respective shares in Arcade Drilling from or to the Company, Shipping, R&B or
their respective affiliates (other than Arcade Drilling), unless the acquiring
party affords both non-acquiring parties the opportunity to sell all their
shares to the acquiring party on substantially identical terms and at the same
time.
 
                                       7
<PAGE>
 
  In 1994, R&B purchased the 46.25 percent of the Arcade Drilling stock
previously owned by Arcade Shipping and, pursuant to the standstill agreement,
tendered for the remaining outstanding shares of Arcade Drilling. The Company
declined to tender its shares. Arcade Drilling was delisted from the Oslo
Stock Exchange in February 1995. The management agreement for the Paul B.
Loyd, Jr. expired in December 1995, and the management agreement for the Henry
Goodrich expired in September 1996. Arcade Drilling declined to renew such
agreements upon their expiration, and the rigs are now managed by R&B.
 
INDUSTRY CONDITIONS AND COMPETITION
 
  Historically, the offshore contract drilling industry has been highly
competitive and cyclical, with periods of high demand, short rig supply and
high dayrates followed by periods of low demand, excess rig supply and low
dayrates. The industry is characterized by high capital costs, long lead times
for construction of new rigs and numerous competitors. The offshore contract
drilling business is influenced by many factors, including the current and
anticipated prices of oil and gas (which affect the expenditures by oil
companies for exploration and production) and the availability of drilling
units.
 
  Domestically, oil and natural gas prices have been directly affected by such
factors as natural gas production, availability of new oil and gas leases and
governmental laws and regulations regarding, among other things, environmental
protection and taxation. Factors which influence demand for the Company's
services include worldwide demand for oil and gas, the ability of the
Organization of Petroleum Exporting Countries ("OPEC") to set and maintain
production levels and prices, the level of production by non-OPEC countries,
contractual terms imposed by governments with respect to exploration and
development of oil and gas resources, and advances in the technology relating
to the exploration and development of hydrocarbon reserves. In addition,
worldwide political and economic events, including initiatives by OPEC, are
likely to cause price volatility. See "Item 7. Management's Discussion and
Analysis of Financial Condition and Results of Operations--Market Outlook."
 
  Drilling contracts are traditionally awarded on a competitive bid basis.
While an operator selecting a rig may consider, among other things, quality of
service and equipment, intense price competition is often the primary factor
in determining which qualified contractor is awarded a job. However, in the
markets for large, modern semisubmersibles and deepwater drillships (on which
the Company has focused), demand has been increasing in recent years while the
supply has remained relatively constant, thus resulting in increasing rates
for these drilling units. See "--Drilling Contracts."
 
OPERATING RISKS
 
  The Company's operations are subject to the usual hazards inherent in the
drilling of oil and gas wells, such as blow-outs, reservoir damage, loss of
production, loss of well control, cratering or fires, the occurrence of which
could result in the suspension of drilling operations, damage to or
destruction of the equipment involved and injury or death to rig personnel.
Damage to the environment could also result from the Company's operations,
particularly through oil spillage or extensive uncontrolled fires. In
addition, offshore drilling operations are subject to perils peculiar to
marine operations, including capsizing, grounding, collision and loss or
damage from severe weather.
 
  The Company maintains broad insurance coverage, including insurance against
general and marine public liability. The Company's offshore drilling equipment
is covered by physical damage insurance policies against marine and other
perils, including losses due to capsizing, grounding, collision, fire,
lightning, hurricanes, wind, storms, action of waves, cratering, blowouts and
explosions, and by policies against war risks to its rigs located
 
                                       8
<PAGE>
 
in foreign countries. The Company also carries employer's liability and other
insurance customary in the drilling business.
 
  The Company believes it is adequately insured in accordance with industry
standards against normal risks in its operations; however, such insurance
coverage may not in all situations provide sufficient funds to protect the
Company from all liabilities that could result from its drilling operations.
Although the Company's current practice is to insure its drilling units for at
least the net book value of the units, the Company's insurance would not cover
the costs that would be required to replace certain of its units, including
certain of its fourth-generation semisubmersibles and drillships. Moreover,
the Company's insurance coverage in most cases does not protect against loss
of revenues. Accordingly, the occurrence of a casualty or loss against which
the Company is not fully insured could have a material adverse effect on the
Company's financial position and results of operations.
 
  The Company is subject to liability under various environmental laws and
regulations. See "--Regulation." The Company has generally been able to obtain
some degree of contractual indemnification pursuant to which the Company's
customer agrees to protect and indemnify the Company from liability for
pollution and environmental damages. However, there is no assurance that the
Company can obtain such indemnities in all of its contracts or that, in the
event of extensive pollution and environmental damages, the customer will have
the financial capability to fulfill its contractual obligation to the Company.
Also, these indemnities may not be enforceable in all instances. No such
indemnification is typically available for turnkey operations.
 
INTERNATIONAL OPERATIONS
 
  The Company has derived a majority of its revenues from its foreign drilling
operations in each of the past three years. The Company cannot predict whether
foreign drilling operations will account for a greater or lesser percentage of
such revenues in future periods. See Note 17 of Notes to Consolidated
Financial Statements.
 
  The Company's foreign operations are subject to certain political and other
uncertainties not encountered in domestic operations, including risks of war,
expropriation of equipment, renegotiation or modification of existing
contracts, taxation policies and the general hazards associated with foreign
sovereignty over certain areas in which operations are conducted. The Company
is protected to a substantial extent against capital loss (but typically not
loss of revenues) from most of such risks through insurance, indemnity
provisions in its drilling contracts or both, but usually not risk of
expropriation or other political risks. See "--Operating Risks". The Company's
operations are also subject to extensive regulation by foreign governments.
See "--Regulation."
 
  The Company's ability to compete in the international drilling market may be
adversely affected by foreign governmental practices which favor or
effectively require the awarding of drilling contracts to local contractors or
require foreign contractors to employ citizens of, or purchase supplies from,
a particular jurisdiction. The Company expects to continue to structure
certain of its operations through joint ventures or other appropriate means in
order to remain competitive in the world market.
 
  Other risks inherent in foreign operations are the possibility of currency
exchange losses where revenues are received in currencies other than United
States dollars and losses resulting from an inability to collect dollar
revenues because of a shortage of convertible currency available to the
foreign country. Generally, the Company limits these risks by obtaining
compensation in United States dollars or freely convertible foreign currencies
and, to the extent possible, by limiting acceptance of blocked currencies to
amounts which match its expense requirements in local currency. In addition,
the Company may utilize a variety of derivative financial instruments in
connection with the management of its exposure to fluctuations in foreign
exchange rates. See "Item 7. Management's Discussion and Analysis of Financial
Condition and Results of Operations--Liquidity and Capital Resources--
Derivative Instruments." To date, the Company's foreign operations have not
been materially affected by these currency risks.
 
                                       9
<PAGE>
 
REGULATION
 
  The Company's operations are affected from time to time in varying degrees
by governmental laws and regulations. The drilling industry is dependent on
demand for services from the oil and gas exploration industry and,
accordingly, is affected by changing tax and other laws relating to the energy
business generally.
 
  Foreign contract drilling operations are subject to various laws and
regulations in countries in which the Company operates. Such laws and
regulations regulate various aspects of foreign operations, including the
equipping and operation of drilling units, currency conversions and
repatriation, oil exploration and development, taxation of foreign earnings
and earnings of expatriate personnel and use of local employees and suppliers
by foreign contractors. Governments in some foreign countries have become
increasingly active in regulating and controlling the ownership of concessions
and companies holding concessions, the exportation of oil and other aspects of
the oil industries in their countries. In addition, government action,
including initiatives by OPEC, may continue to cause oil price volatility. In
some areas of the world, this governmental activity has adversely affected the
amount of exploration and development work done by major oil companies and may
continue to do so.
 
  In the United States, regulations applicable to the Company's operations
include certain regulations controlling the discharge of materials into the
environment, requiring removal and cleanup of materials that may harm the
environment or otherwise relating to the protection of the environment. For
example, the Company, as an operator of mobile offshore drilling units in
navigable United States waters and certain offshore areas, may be liable for
damages and costs incurred in connection with oil spills for which it is held
responsible, subject to certain limitations. Laws and regulations protecting
the environment have become more stringent in recent years, and may in certain
circumstances impose "strict liability," rendering a person liable for
environmental damage without regard to negligence or fault on the part of such
person. Such laws and regulations may expose the Company to liability for the
conduct of or conditions caused by others, or for acts of the Company which
were in compliance with all applicable laws at the time such acts were
performed. The application of these requirements or the adoption of new
requirements could have a material adverse effect on the Company's financial
position and results of operations.
 
  The Oil Pollution Act of 1990 ("OPA") and regulations promulgated pursuant
thereto impose a variety of requirements on "responsible parties" related to
the prevention of oil spills and liability for damages resulting from such
spills. Few defenses exist to the liability imposed by the OPA, and such
liability could be substantial. A failure to comply with ongoing requirements
or inadequate cooperation in a spill event could subject a responsible party
to civil or criminal enforcement action.
 
  The Outer Continental Shelf Lands Act authorizes regulations relating to
safety and environmental protection applicable to lessees and permittees
operating on the Outer Continental Shelf. Specific design and operational
standards may apply to Outer Continental Shelf vessels, rigs, platforms,
vehicles and structures. Violations of environmental related lease conditions
or regulations issued pursuant to the Outer Continental Shelf Lands Act can
result in substantial civil and criminal penalties, as well as potential court
injunctions curtailing operations and canceling leases. Such enforcement
liabilities can result from either governmental or citizen prosecution.
 
  Certain of the foreign countries in whose waters the Company is presently
operating or may operate in the future have regulations covering the discharge
of oil and other contaminants in connection with drilling operations.
 
  The Company believes that it has conducted its operations in substantial
compliance with applicable environmental laws and regulations governing its
activities. Although significant capital expenditures may be required to
comply with such governmental laws and regulations, such compliance has not
materially adversely affected the earnings or competitive position of the
Company. In 1992, regulations relating to offshore drilling rigs were issued
in the U.K. which required a comprehensive review of the technical
characteristics of and
 
                                      10
<PAGE>
 
operating procedures for each rig in the U.K. sector of the North Sea. It is
possible that such laws and regulations in the future may add to the cost of
operating offshore drilling equipment or may significantly limit drilling
activity.
 
EMPLOYEES
 
  As of December 31, 1996, the Company had approximately 4,200 employees, of
which approximately 3,500 were assigned to rigs. The Company requires highly
skilled personnel to operate its drilling units. As a result, the Company
conducts extensive personnel training and safety programs and has won awards
for safety from various industry associations. The Company believes that in
light of increased demand for drilling services, the possibility of a shortage
of qualified personnel exists. The Company has initiated a training and
recruitment program to address this issue; however, these increases in demand
for drilling services may make retention of qualified personnel more difficult
at current compensation levels.
 
  The Company's Norwegian employees are represented by five Norwegian unions,
each of which participates in one or several nationwide agreements concerning
salary and other specific terms and conditions. These nationwide agreements
are established as a result of bi-annual negotiations between the various
employers' nationwide associations and the respective employees' unions. In
addition, if necessary, local agreements are made to adapt to local conditions
within each area. At present, the Company, through its subsidiaries, is a part
of eleven such nationwide agreements and seven such local agreements. As at
December 31, 1996, approximately 1,800 employees of the Company were organized
under unions. The Company does not have any other collective bargaining
agreements that are material to the Company and considers relations with its
employees to be good.
 
ITEM 2. PROPERTIES
 
  The description of the Company's property included under "Item 1. Business"
is incorporated by reference herein.
 
ITEM 3. LEGAL PROCEEDINGS
 
  In August 1990 and October 1990, Sonat Offshore do Brasil Perfuracoes
Maritimas Ltda. ("Sonat Brazil"), a subsidiary of the Company, was served with
assessments from the municipality of Rio de Janeiro, Brazil to collect a
municipal tax on services ("ISS") for the period from August 1985 through
August 1987. These assessments collectively total (with penalties and
interest) approximately $2 million. In June 1991, the municipality of Rio de
Janeiro, Brazil served an additional ISS assessment for the equivalent (with
penalties and interest) of approximately $9 million naming both Sonat Brasil
and another subsidiary of the Company, Sonat Offshore S.A. Neither subsidiary
believes that it is liable for the taxes claimed in the assessments. The
Company's arguments have been rejected, however, by the Taxpayer's Council as
to the first and third assessments. The Company has initiated court actions
with respect to the first and third assessments and is awaiting a ruling by
the Taxpayer's Council as to the second. If these defenses are unsuccessful,
the Company believes that the Brazilian government-controlled oil company,
Petrobras, has a contractual obligation to reimburse the Company's
subsidiaries for ISS payments required to be paid by them. In the opinion of
management, the outcome of these assessments will not have a material adverse
affect on the financial condition of the Company.
 
  The Company and its subsidiaries are involved in a number of other lawsuits,
all of which have arisen in the ordinary course of the Company's business. The
Company does not believe that ultimate liability, if any, resulting from any
pending litigation will have a material adverse effect on its operations or
financial position.
 
                                      11
<PAGE>
 
ITEM 4. SUBMISSION OF MATTERS TO A VOTE OF SECURITY HOLDERS
 
  The Company did not submit any matter to a vote of its security holders
during the fourth quarter of 1996.
 
EXECUTIVE OFFICERS OF THE REGISTRANT
 
<TABLE>
<CAPTION>
                                                                        AGE AS OF
             OFFICER                           OFFICE                 MARCH 1, 1997
             -------                           ------                 -------------
     <S>                       <C>                                    <C>
     J. Michael Talbert......  Chairman of the Board and Chief              50
                                Executive Officer
     W. Dennis Heagney.......  President and Chief Operating Officer        49
     Jon C. Cole.............  Senior Vice President                        44
     Robert L. Long..........  Senior Vice President and Chief              51
                                Financial Officer
     Reidar Lund.............  President and Chief Executive Officer,       55
                                Transocean ASA
     G. Austin King..........  Senior Vice President                        57
     Donald R. Ray...........  Senior Vice President                        50
     Eric B. Brown...........  Vice President, General Counsel and          45
                                Secretary
     Barbara S. Koucouthakis.  Vice President and Controller                38
     Forrest E. Wylie........  Vice President and Treasurer                 33
     Arne Austreid...........  Vice President                               41
     Jan Erik Tveteraas......  Vice President                               36
     Paul A. King............  Vice President                               45
</TABLE>
 
  There is no family relationship between any of the above-named executive
officers.
 
  The officers of the Company are elected annually by the Board of Directors.
The identification of an individual as an executive officer in this report
does not constitute a determination by the Company or its Board of Directors
that such individual is an officer of the Company for purposes of Section 16
of the Securities Exchange Act of 1934.
 
  J. Michael Talbert was elected a director and Chairman of the Board and
Chief Executive Officer of the Company effective September 1, 1994 and
currently serves in those capacities. During the past five years, prior to
assuming his current position with the Company, Mr. Talbert served as an
executive officer of Lone Star Gas Company, a division of Ensearch
Corporation, and Texas Oil and Gas Corporation.
 
  W. Dennis Heagney was elected President of the Company effective April 1,
1986 and currently serves in that capacity and as Chief Operating Officer. He
has been employed by the Company since 1969 was elected Vice President in 1983
and Senior Vice President in 1984.
 
  Jon C. Cole was elected Senior Vice President of the Company effective April
1, 1993 and currently serves in that capacity, with responsibility for
marketing. Mr. Cole joined the Company in 1978 and was elected Vice President
in 1990.
 
  Robert L. Long was elected Senior Vice President of the Company effective
May 1, 1990 and currently serves in that capacity and as Chief Financial
Officer. Mr. Long has been employed by the Company since 1976 and was elected
Vice President in 1987.
 
  Reidar Lund was elected President and Chief Executive Officer of Transocean
ASA effective March 3, 1990 and currently serves in those capacities. Mr. Lund
is a member of the Board of the Norwegian Oil Industry Association, member of
the Board of the Norwegian Petroleum Society and a deputy member of the Board
of the Drilling and Construction Vessel Group, a division of the Norwegian
Shipowner's Association. Mr. Lund became a director of the Company in
September 1996.
 
                                      12
<PAGE>
 
  G. Austin King was elected Senior Vice President of the Company effective
December 1, 1996 and currently serves in that capacity, with responsibility
for drilling services. Mr. King joined the Company in 1968 and has served as a
Vice President of the Company since 1987.
 
  Donald R. Ray was elected Senior Vice President of the Company effective
December 1, 1996 and currently serves in that capacity, with responsibility
for technical services. Mr. Ray has been employed by the Company since 1972
and has served as a Vice President of the Company since 1986.
 
  Eric B. Brown was elected Vice President and General Counsel of the Company
effective February 1, 1995 and Secretary effective September 29, 1995 and
currently serves in those capacities. During the past five years, prior to
assuming his current position with the Company, Mr. Brown served as General
Counsel of Coastal Gas Marketing Company.
 
  Barbara S. Koucouthakis was elected Controller of the Company effective
January 1, 1990 and Vice President effective April 1, 1993 and currently
serves in those capacities. She has been employed by the Company since 1982.
 
  Forrest E. Wylie was elected Treasurer of the Company effective February 1,
1995 and Vice President effective December 1, 1996 and currently serves in
those capacities. During the past five years, prior to assuming his current
position, Mr. Wylie served as Manager of Treasury Services for the Company
from 1993 to 1995 and prior to that as Treasury Manager for American
Exploration Company.
 
  Arne Austreid was elected Vice President of the Company effective December
1, 1996 and currently serves in that capacity, with responsibility for human
resources. During the past five years, prior to assuming his current position
with the Company, Mr. Austreid served with Transocean ASA as Vice President,
Human Resources and Corporate Services since August 1, 1994, Deputy Manager
for well service operations in the United Kingdom from 1992 to 1994 while
pursuing post-graduate studies and prior thereto as Vice President,
Engineering and Construction.
 
  Jan Erik Tveteraas was elected Vice President of the Company effective
December 1, 1996 and currently serves in that capacity, with responsibility
for corporate planning. During the past five years, prior to assuming his
current position with the Company, Mr. Tveteraas served with Transocean ASA as
Chief Financial Officer since October 1, 1994 and prior thereto as Vice
President, Finance.
 
  Paul A. King was elected Vice President of the Company effective December 1,
1996 and currently serves in that capacity, with responsibility for
operations. He has been employed by the Company since 1975.
 
  In connection with the Company's disposition of certain non-core activities
and associated assets into a new Norwegian public company, Mr. Lund will
resign his positions as President and Chief Executive Officer of Transocean
ASA and as a director of the Company to lead the new company. Mr. Cole,
currently Senior Vice President with responsibility for marketing, will assume
responsibility for mobile offshore drilling units in northwestern Europe and
for worldwide coiled tubing operations. Mr. Heagney will continue to serve as
President and Chief Operating Officer, with responsibility for mobile offshore
drilling units in the remainder of the world and for worldwide turnkey and
drilling services activities. Mr. Austreid will become President of Transocean
ASA following Mr. Lund's departure. See "Item 1. Business--Drilling Services."
 
                                      13
<PAGE>
 
                                    PART II
 
ITEM 5. MARKET FOR REGISTRANT'S COMMON EQUITY AND RELATED SHAREHOLDER MATTERS
 
  The Company's common stock is listed on the New York Stock Exchange (the
"NYSE") and on the Oslo Stock Exchange under the symbol "RIG." The following
table sets forth the high and low sales prices of the Company's common stock
for the periods indicated as reported on the NYSE Composite Tape.
 
<TABLE>
<CAPTION>
                                                                   PRICE
                                                                 ------------
                                                                 HIGH    LOW
                                                                 ----    ----
      <S>                                                        <C>     <C>
      1995
        First Quarter........................................... $23 1/4 $17 3/4
        Second Quarter..........................................  33 3/8  23 3/4
        Third Quarter...........................................  30 3/4  27 3/4
        Fourth Quarter..........................................   49     31 3/8
      1996
        First Quarter...........................................   53     41 1/8
        Second Quarter..........................................   59     46 1/2
        Third Quarter...........................................  61 3/4  48 7/8
        Fourth Quarter..........................................  71 3/8  56 5/8
</TABLE>
 
  On March 19, 1997, the last reported sales price of the Company's common
stock on the NYSE Composite Tape was $58 1/4 per share. On such date, there
were approximately 300 holders of record of the Company's common stock.
 
  The Company has paid quarterly cash dividends of $0.06 per share of its
common stock since the fourth quarter of 1993. Any future declaration and
payment of dividends will be (i) dependent upon the Company's results of
operations, financial condition, cash requirements and other relevant factors,
(ii) subject to the discretion of the Board of Directors of the Company, (iii)
subject to restrictions contained in the Company's bank credit agreement (see
"Item 7. Management's Discussion and Analysis of Financial Condition and
Results of Operations--Liquidity and Capital Resources--Credit Agreement and
Project Financing Agreement") and (iv) payable only out of the Company's
surplus or current net profits in accordance with Delaware law.
 
                                      14
<PAGE>
 
ITEM 6. SELECTED CONSOLIDATED FINANCIAL DATA
 
  The selected consolidated financial data as of December 31, 1996 and 1995
and for each of the three years in the period ended December 31, 1996 has been
derived from the audited consolidated financial statements of the Company
included elsewhere herein. The selected consolidated financial data as of
December 31, 1994, 1993 and 1992 and for each of the two years in the period
ended December 31, 1993 has been derived from audited consolidated financial
statements of the Company not included herein. The following data should be
read in conjunction with "Item 7. Management's Discussion and Analysis of
Financial Condition and Results of Operations," and the Company's consolidated
financial statements and the notes thereto included under "Item 8. Financial
Statements and Supplementary Data." The statement of operations data for the
year ended December 31, 1996 includes the operating results of Transocean ASA
since September 1, 1996, the effective date of the Combination for accounting
purposes.
 
<TABLE>
<CAPTION>
                                                    YEARS ENDED DECEMBER 31,
                                                  -----------------------------
                                                   1996  1995  1994  1993  1992
                                                  ------ ----- ----- ----- ----
                                                    (IN MILLIONS, EXCEPT PER
                                                           SHARE DATA)
<S>                                               <C>    <C>   <C>   <C>   <C>
INCOME STATEMENT DATA
Operating Revenues............................... $  529 $ 323 $ 243 $ 271 $202
Operating Income.................................    108    52    21    24    7
Income Before Cumulative Effect of Accounting
 Change(a).......................................     78    47    13    24   --
Income Before Cumulative Effect of Accounting
 Change Per Share(b)............................. $ 2.17 $1.65 $0.45 $1.00 $ --
BALANCE SHEET DATA (at end of period)
Total Assets..................................... $2,443 $ 542 $ 493 $ 472 $440
Total Debt.......................................    420    30    30    --  178
Stockholders' Equity.............................  1,628   364   321   314  108
Cash Dividends Declared Per Share(c)............. $ 0.24 $0.24 $0.24 $0.06 $ --
</TABLE>
- --------
(a) 1993 excludes a $10 million charge ($7 million after tax) which was
    recognized as a cumulative effect of accounting change relating to
    recording the transition obligation in connection with the adoption of
    SFAS No. 106, Employers' Accounting for Postretirement Benefits Other than
    Pensions, in January 1993 and includes $24 million ($16 million after tax)
    of interest income relating to the settlement of Sonat's consolidated
    federal income tax case for the years 1983 to 1985.
(b) Earnings per share are not presented for periods prior to 1993, since the
    Company was wholly owned by Sonat.
(c) 1993 excludes $106 million paid to Sonat prior to the Company's initial
    public offering.
 
ITEM 7. MANAGEMENT'S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND
RESULTS OF OPERATIONS
 
OVERVIEW
 
  The Company provides contract drilling services for oil and gas wells
located in offshore areas throughout the world through its three lines of
business--Mobile Units, Turnkey Operations and Drilling Services. The Company
currently owns, has ownership interests in or operates a total of 30 mobile
offshore drilling rigs, including two units not yet in service. See "--
Liquidity and Capital Resources." The Mobile Units line of business operates
drilling rigs for customers at a contractually determined price per day
(dayrate). Turnkey Operations involves drilling wells to specified depths for
customers for a fixed price. Drilling Services provides personnel and
equipment other than rigs for oil and gas exploration and production on either
a dayrate or fixed price basis.
 
  The Company's fleet of 30 mobile offshore drilling rigs includes some of the
industry's most technically advanced rigs. The fleet consists of seven fourth-
generation semisubmersibles (two of which are owned by a corporation in which
the Company has a 25 percent equity interest and are managed by a competitor),
fourteen other semisubmersibles, three drillships and six jackup rigs. As of
March 1, 1997, the fleet was located in the
 
                                      15
<PAGE>
 
U.S. Gulf of Mexico, the North Sea and offshore Europe, Brazil, Egypt, India,
Nigeria and the United Arab Emirates. The Company plans to continue to invest
in its existing fleet and to review opportunities for fleet additions to meet
increasing customer demands. The Company's business strategy is to concentrate
its resources in the deepwater and harsh-environment segments of the drilling
market and to utilize its foreign operating experience and engineering
expertise to take advantage of turnkey and drilling services opportunities
worldwide.
 
  Prior to the Company's initial public offering of 15,500,000 shares of
common stock in June 1993, the Company was a wholly owned subsidiary of Sonat.
In July 1995, Sonat sold its remaining 40 percent of the outstanding shares of
the Company through a secondary public offering. Prior to September 1996, the
Company was known as Sonat Offshore Drilling Inc.
 
  On September 3, 1996, the Company acquired in the Combination 50,857,948
shares of Transocean ASA, which constituted approximately 94 percent of the
outstanding Transocean ASA shares. During November and December 1996, the
Company acquired additional Transocean ASA shares, bringing its total
ownership to over 99 percent of the outstanding shares. The Combination was
deemed effective for accounting purposes as of September 1, 1996; the
financial activity of the intervening period was not material to the financial
statements. Transocean ASA is a major offshore drilling company which, at the
time of the Combination, owned or managed thirteen mobile offshore drilling
rigs. It also provides two additional types of Drilling Services: (i) oil and
gas platform drilling and well intervention and (ii) oil services engineering
and construction.
 
                                      16
<PAGE>
 
OPERATING RESULTS
 
  Comparative data relating to the Company's operating revenues and operating
income by segment and geographic area follows. The operating results of
Transocean ASA are included from September 1, 1996. Operating revenues and
operating income from Drilling Services include (i) integrated drilling
services previously included in Mobile Units, (ii) platform drilling and well
intervention and (iii) oil services engineering and construction. Prior period
amounts have been reclassified to conform with the current presentation.
 
<TABLE>
<CAPTION>
                                                    YEARS ENDED DECEMBER 31,
                                                   ----------------------------
                                                     1996      1995      1994
                                                   --------  --------  --------
                                                         (IN THOUSANDS)
<S>                                                <C>       <C>       <C>
OPERATING REVENUES
Mobile Units
  U.S. Gulf of Mexico............................. $141,210  $ 95,771  $ 79,511
  North Sea and Europe............................  179,865    88,885    74,742
  Other Western Hemisphere........................   29,193    24,365    21,207
  Other Eastern Hemisphere........................   31,035    29,894    29,958
                                                   --------  --------  --------
                                                    381,303   238,915   205,418
                                                   --------  --------  --------
Turnkey Operations
  U.S. Gulf of Mexico.............................   27,222    20,230     3,726
  Other Western Hemisphere........................   26,031    36,711    23,438
  Other Eastern Hemisphere........................    5,855     4,300        --
                                                   --------  --------  --------
                                                     59,108    61,241    27,164
                                                   --------  --------  --------
Drilling Services
  U.S. Gulf of Mexico.............................   10,345    13,065    10,814
  North Sea and Europe............................   61,723    10,914     8,563
  Other Western Hemisphere........................    5,089        --        --
  Other Eastern Hemisphere........................   11,565       676        --
                                                   --------  --------  --------
                                                     88,722    24,655    19,377
                                                   --------  --------  --------
Intersegment Eliminations (a).....................     (230)   (2,153)   (9,006)
                                                   --------  --------  --------
Total Operating Revenues.......................... $528,903  $322,658  $242,953
                                                   ========  ========  ========
OPERATING INCOME (LOSS)
Mobile Units
  U.S. Gulf of Mexico............................. $ 74,062  $ 28,709  $ 13,657
  North Sea and Europe............................   32,317    20,032     6,181
  Other Western Hemisphere........................    5,981     3,908    (2,060)
  Other Eastern Hemisphere........................    4,952     8,290    10,425
  Other...........................................      367      (521)   (1,141)
                                                   --------  --------  --------
                                                    117,679    60,418    27,062
                                                   --------  --------  --------
Turnkey Operations
  U.S. Gulf of Mexico.............................   (3,306)    1,511       292
  Other Western Hemisphere........................    5,424     4,247     4,032
  Other Eastern Hemisphere........................      736       207         3
                                                   --------  --------  --------
                                                      2,854     5,965     4,327
                                                   --------  --------  --------
Drilling Services
  U.S. Gulf of Mexico.............................    2,951     3,969     4,022
  North Sea and Europe............................    5,895     3,280     4,154
  Other Western Hemisphere........................      337        --        --
  Other Eastern Hemisphere........................    1,802       (46)       --
                                                   --------  --------  --------
                                                     10,985     7,203     8,176
                                                   --------  --------  --------
Corporate Expenses................................  (23,904)  (21,498)  (18,668)
                                                   --------  --------  --------
Operating Income.................................. $107,614  $ 52,088  $ 20,897
                                                   ========  ========  ========
</TABLE>
- --------
(a) Intersegment eliminations reflect the elimination of operating revenues
    earned when one of the Company's business segments provides services to
    another of the Company's business segments.
 
                                      17
<PAGE>
 
1996 COMPARED TO 1995
 
  Net Income for the year ended December 31, 1996 was $78.0 million, or $2.17
per share. This compares to net income of $46.9 million, or $1.65 per share,
in 1995, an improvement of $31.1 million, or $0.52 per share. The increase for
1996 reflects the continuation of the high rig utilization rates experienced
in 1995, along with inclusion of the results of Transocean ASA following the
September 1996 Combination. The weighted-average number of shares was 35.9
million and 28.4 million for the years ended 1996 and 1995, respectively. The
increase in the weighted-average number of shares was primarily due to shares
issued in the Combination in September 1996.
 
  Revenues were $528.9 million in 1996 compared to $322.7 million in 1995, an
increase of $206.2 million or 64 percent. Transocean ASA operations resulted
in $148.6 million of revenues for the period from September 1, 1996, the
effective date of the Combination, of which $102.0 million was related to
Mobile Units and $46.6 million was related to Drilling Services. The remaining
increase in revenues was primarily attributed to improved dayrates during the
year and increased Drilling Services activity, partially offset by a decrease
in Turnkey Operations activity.
 
  Revenues from Mobile Units increased by $142.4 million, from $238.9 million
in 1995 to $381.3 million in 1996. The increase in the U.S. Gulf of Mexico
revenues resulted primarily from higher dayrates earned and from the
relocation of one rig from offshore Italy where it worked during a portion of
1995. Partially offsetting these increases were lower revenues in 1996 due to
the sale of five bottom-supported rigs in the third quarter of 1995. The
increase in revenues from the North Sea and Europe resulted primarily from the
inclusion of $90.9 million of revenues from Transocean ASA following the
Combination. Although dayrates increased in the North Sea and Europe in 1996
over 1995, the effect of these increases was offset by the relocation of one
rig to the U.S. Gulf of Mexico in the third quarter of 1995. The increase in
Other Western Hemisphere revenues resulted primarily from the inclusion of
Transocean ASA results following the Combination.
 
  Revenues from Turnkey Operations decreased by $2.1 million, from $61.2
million in 1995 to $59.1 million in 1996. The increase in revenues in the U.S.
Gulf of Mexico resulted from the completion of a greater number of wells
during 1996. In 1995, the Company completed six wells versus eight wells
completed in 1996. In Other Western Hemisphere, the revenues from Turnkey
Operations decreased because the Company completed three wells in 1995 versus
two in 1996.
 
  Revenues from Drilling Services increased $64.0 million, up from $24.7
million in 1995 to $88.7 million in 1996. The largest increase in Drilling
Services revenues was in the North Sea and Europe, principally due to the
inclusion of Transocean ASA results following the Combination and the
expansion of drilling services provided. Revenues increased in Other Western
Hemisphere due to a contract performed offshore Mexico, while increases in
Other Eastern Hemisphere resulted from services performed in Qatar during
1996.
 
  Operating Income increased $55.5 million, or 107 percent, up from $52.1
million in 1995 to $107.6 million in 1996. Operating income attributable to
the operations of Transocean ASA, which is included following the Combination,
was $17.3 million, including depreciation of the fair market value of fixed
assets acquired in the Combination and amortization of goodwill relating to
the excess of the purchase price over the estimated fair value of the net
assets acquired. Transocean ASA's operating income relating to Mobile Units
and Drilling Services was $15.9 million and $2.0 million, respectively. The
remaining increase in operating income is primarily attributable to higher
revenues without a corresponding increase in costs.
 
  Operating income from Mobile Units increased $57.3 million, from $60.4
million in 1995 to $117.7 million in 1996. The increase in the U.S. Gulf of
Mexico resulted primarily from higher dayrates earned without a corresponding
increase in operating expenses. The increase in operating income in the North
Sea and Europe resulted primarily from the inclusion of the results of
Transocean ASA following the Combination. In light of the continued
improvements in the market, effective July 1, 1996, the Company extended the
useful lives of nine of its existing rigs by an average of five years. The
effect of this change in accounting estimate on depreciation
 
                                      18
<PAGE>
 
expense and net income for the year ended December 31, 1996 was $4.1 million
and $2.7 million ($0.07 per share), respectively.
 
  Operating income from Turnkey Operations decreased $3.1 million, from $6.0
million in 1995 to $2.9 million in 1996. The decrease resulted primarily from
losses of $4.8 million in 1996 on five turnkey wells (three of which were
still in progress at the end of 1996) in the U.S. Gulf of Mexico. The losses
on the wells in progress reflect the Company's best estimate of losses to be
incurred to complete such wells. Due to the inaccuracies inherent in such
estimates for wells in progress, no assurance can be given that actual losses
will not exceed these estimates. The wells were competitively bid and
experienced operational difficulties during the drilling phase.
 
  Operating income from Drilling Services increased $3.8 million, from $7.2
million in 1995 to $11.0 million in 1996. The largest increase in Drilling
Services was in the North Sea and Europe and was primarily due to the
inclusion of Transocean ASA's results following the Combination. The remaining
increase is due to the overall increase in activity.
 
  Corporate expenses increased $2.4 million, from $21.5 million in 1995 to
$23.9 million in 1996 primarily due to increased costs to integrate and manage
a larger organization. The corporate organization expanded to accommodate the
overall growth of the Company as a result of the Combination and the increased
activity in the industry such as the major construction programs, increasing
recruiting and training activity and upgrading and expanding communication and
data processing systems.
 
  Other Income decreased primarily due to the non-recurring pre-tax gain of
$16.6 million from the sale of six bottom-supported rigs in 1995 and higher
interest expense in 1996 due to debt incurred related to the Combination.
Partially offsetting these decreases were higher interest income earned due to
higher average cash balances, increased equity in earnings of joint ventures
in 1996 over 1995, and a non-recurring pre-tax gain of $6.6 million on the
disposal of a rig in 1996.
 
  Income Tax Expense increased in 1996 to $43.6 million from $28.2 million,
primarily due to the increase in pre-tax income. 1996 income tax expense
included $30.5 million of current U.S. federal and state income taxes, $6.6
million of current foreign income taxes and $6.5 million of deferred U.S.
federal and foreign income tax expense. 1995 income tax expense included $24.6
million of current U.S. federal and state income taxes and $7.9 million of
current foreign income taxes, reduced by $4.3 million of deferred U.S. federal
income tax benefits.
 
1995 COMPARED TO 1994
 
  Net Income for the year ended December 31, 1995 was $46.9 million, or $1.65
per share. This compares to net income of $12.7 million, or $0.45 per share,
in 1994, an improvement of $34.2 million, or $1.20 per share. The increase in
1995 was largely due to increased utilization and improved dayrates for the
drilling fleet as well as a net $10.8 million after-tax gain on the sale of
six bottom-supported rigs. Total fleet utilization reached 88 percent in 1995
versus 77 percent in 1994. Utilization of the eight semisubmersibles and two
deepwater drillships reached 99 percent in 1995 compared to 80 percent in the
previous year.
 
  Revenues were $322.7 million for 1995 compared to $243.0 million in 1994, an
increase of $79.7 million or 33 percent. Revenues from Mobile Units increased
by $33.5 million from $205.4 million in 1994 to $238.9 million in 1995. The
increase in the U.S. Gulf of Mexico was primarily due to higher dayrates with
increased occupancy. Additionally, a rig was mobilized from Italy in the third
quarter of 1995 and contributed four months of revenue to this area's results.
In the North Sea and Europe, one rig saw full utilization and significantly
higher average dayrates after being stacked for 283 days in 1994. Also
contributing was a full year of revenue from another rig, which operated for
nine months in 1994. Partially offsetting these increases was the mobilization
of a rig from Italy in late 1995. The rig in Other Western Hemisphere operated
at 100 percent utilization in 1995 compared to 77 percent utilization the year
before.
 
                                      19
<PAGE>
 
  Turnkey Operations revenues increased by $34.1 million to $61.2 million for
1995 from $27.1 million in 1994. During 1995 the Company completed six turnkey
wells in the U.S. Gulf of Mexico, three in Other Western Hemisphere and one in
Other Eastern Hemisphere. In comparison, 1994 turnkey revenue was generated
from the completion of one turnkey well in the U.S. Gulf of Mexico and one
well in Other Western Hemisphere.
 
  Drilling Services saw a slight increase in activity during 1995.
 
  Operating Income increased to $52.1 million in 1995 from $20.9 million in
1994, an increase of $31.2 million or 149 percent. The greatest share of this
increase was due to improved contributions from Mobile Units, which increased
$33.3 million from 1994, an improvement of 123 percent. The increase resulted
primarily from higher dayrates and utilizations earned by the rigs without as
large an increase in operating expenses. Partially offsetting this was a $2.2
million valuation adjustment on a jackup rig in Other Eastern Hemisphere.
 
  Although Turnkey Operations activity increased significantly in 1995 from
1994, operating income from this segment increased only slightly as a result
of operating losses of $2.4 million incurred on two completed wells: one in
the Other Western Hemisphere and one in the U.S. Gulf of Mexico. Also, the
Company accrued a loss of $0.8 million for a well in Other Eastern Hemisphere
that was planned to start in December 1995. The third-party rig that was
contracted to perform the drilling incurred operational difficulties in
mobilizing to the site, resulting in a delay in the program and a change in
the rig to be used.
 
  Although revenues for Drilling Services increased in 1995 over 1994, margins
declined slightly. As a result, operating income for this segment was
comparable between years.
 
  Corporate expenses increased $2.8 million in 1995. The increase resulted
primarily from $1.2 million of expense related to the early vesting of a
restricted stock grant, $0.7 million of costs incurred in conjunction with a
potential corporate acquisition and $0.5 million of other non-recurring
corporate charges.
 
  Other Income for 1995 included the pre-tax net gains of $16.6 million from
the sale of six bottom-supported rigs and $1.8 million of net interest income
related to the settlement of Sonat's consolidated U.S. federal income tax
examination for the years 1986 to 1988. Higher cash balances in 1995 resulted
in a corresponding increase in interest income. The increased equity in the
earnings of joint ventures was primarily attributable to the increased
utilization and dayrate of a rig owned by Arcade Drilling, a Norwegian
corporation in which the Company has a 25 percent equity interest.
 
  Income Tax Expense increased in 1995 to $28.2 million from $7.5 million,
largely due to the increase in pre-tax income. Income tax expense for 1995
included $24.5 million of current U.S. federal income taxes and $7.9 million
of current foreign income taxes, reduced by $4.3 million of deferred U.S.
federal income tax benefits. Income tax expense for 1994 consisted of $4.0
million of current U.S. federal income taxes, $0.9 million of current foreign
income taxes, $2.2 million of deferred U.S. federal income taxes, and $0.4
million of current U.S. state income taxes.
 
OTHER FACTORS AFFECTING OPERATING RESULTS
 
  The general rate of inflation in the United States and the majority of the
foreign countries in which the Company operates has been moderate over the
past several years and has not had a material impact on the Company's results
of operations. However, due to the actual and expected increase in the demand
for offshore drilling rigs, the Company may incur higher labor, transportation
and other operating expenses as a result of increased need for qualified
personnel and services.
 
  The Company has derived a majority of its revenues from its foreign
operations in each of the past three years. The Company cannot predict whether
foreign operations will account for a greater or lesser percentage of such
revenues in future periods.
 
                                      20
<PAGE>
 
  The Company's foreign operations are geographically dispersed and are
therefore subject to certain political and other uncertainties not encountered
in domestic operations, including risks of war, expropriation of equipment,
renegotiation or modification of existing contracts, taxation policies and the
general hazards associated with foreign sovereignty over certain areas in
which operations are conducted. The Company is protected to a substantial
extent against capital loss (but generally not loss of revenue) from most of
such risks through insurance, indemnity provisions in its drilling contracts,
or both. The necessity of insurance coverage for risks associated with
political unrest, expropriation and environmental remediation is evaluated on
an individual contract basis.
 
  The Company's operations are also subject to extensive regulation by foreign
governments. The Company's ability to compete in the international drilling
market may be adversely affected by foreign governmental practices which favor
or effectively require the awarding of drilling contracts to local
contractors. The Company expects to continue to structure certain of its
operations through joint ventures or other appropriate means in order to
remain competitive in the international markets.
 
  Other risks inherent in foreign operations are the possibility of currency
exchange losses where revenues are received and expenses are paid in
currencies other than United States dollars. Losses can also result from an
inability to collect dollar revenues because of a shortage of convertible
currency available to the foreign country. Generally, the Company seeks to
limit these risks by structuring contracts such that compensation is made in
United States dollars or freely convertible foreign currencies and, to the
extent possible, by limiting acceptance of blocked currencies to amounts which
match its expense requirements in local currency. See "--Liquidity and Capital
Resources."
 
  On a worldwide basis, the Company had approximately 43 percent of its
employees working under collective bargaining agreements at December 31, 1996.
Of these represented employees, none are working under agreements that expire
in 1997. The majority of these employees are represented by Norwegian unions.
 
MARKET OUTLOOK
 
  The increased demand and higher dayrates for rigs in the deepwater and
harsh-environment markets that began in 1995 continued through 1996. The
improvements in the markets were due in part to technological advances that
improved the economics of offshore exploration and development, as well as the
increased availability of attractive concessions in markets throughout the
world. The U.S. Gulf of Mexico and North Sea markets continued to experience
increased rig utilization and higher dayrates in 1996. As a result of the
improved market conditions, rigs are increasingly being contracted under long-
term agreements.
 
  The demand for drilling units in the U.S. Gulf of Mexico continued to
strengthen. In early 1997, the Discoverer Seven Seas completed its contract in
Brazil and mobilized to the U.S. Gulf of Mexico. Following a major upgrade to
increase its capabilities, the rig will work for Exxon on a contract that is
expected to continue through May 1999. During the fourth quarter of 1996, the
Discoverer 534 began work with Amoco at a higher dayrate than earned
previously and is expected to continue on this contract into early 1999. The
Sonat Richardson and the Transocean Rather are both under contracts with Shell
Offshore at higher dayrates than were earned in 1995 and early 1996. Both rigs
are expected to be utilized into 1998. Further indications of the strength of
the U.S. Gulf of Mexico market are the Company's purchase and upgrade of the
Transocean Amirante, the conversion of the semisubmersible multi-service
vessel to be renamed the "Transocean Marianas" and the construction of a
deepwater dynamically positioned drillship to be named the "Discoverer
Enterprise". See "--Liquidity and Capital Resources." These rigs have multi-
year contract commitments with major operators which begin upon completion of
the upgrades or construction.
 
  Operators are showing increasing interest in the North Sea's more demanding
locations particularly the deepwater and harsh-environment areas west of
Shetlands, and the deepwater and northern areas offshore Norway. The
Transocean 8 is on contract with Amerada Hess at higher dayrates than those
earned in 1995 and will enter a shipyard for a deepwater upgrade in the second
quarter of 1997. Subsequently, the rig will work for
 
                                      21
<PAGE>
 
Amerada Hess for a minimum of two years. The Transocean Arctic is on contract
with Saga Petroleum and has a follow-on contract with Statoil that will
continue into the first quarter of 1999. The Transocean John Shaw began a
contract with Shell U.K. in late 1996 that is expected to continue through
late 1998. The Transocean Prospect and Transocean Searcher are both under
contracts with Statoil that will keep the rigs utilized through 1998 and 1999,
respectively. The Treasure Saga has contract commitments with Statoil and
Norsk Hydro through 1999. In February 1997, Norsk Hydro exercised one of a
series of six-month contract extensions on the Polar Pioneer at a higher
dayrate, which will be effective in the third quarter of 1997.
 
  Turnkey Operations in the U.S. Gulf of Mexico were in progress on three
wells at the end of 1996, which were completed in the first quarter of 1997.
Two turnkey projects were awarded in the U.S. Gulf of Mexico and commenced in
the first quarter of 1997. The Company was awarded a three-well turnkey
package offshore Mexico with Pemex which began in March of 1997.
 
  In response to the increasing demands of its customers, the Company provides
a variety of drilling services, including well planning, engineering and
management through integrated service teams. These teams generally consist of
Company personnel and third-party subcontractors, with the Company serving as
lead contractor. These services are provided on either a dayrate or fixed
price basis. The work generally consists of individual contractual agreements
to meet specific customer needs. The Company cannot predict the extent to
which such services will impact future operations. The Company also provides
platform drilling services and well completion and workover services utilizing
coiled tubing technology and directional drilling. The Company has long-term
contracts to provide platform drilling services on five major facilities in
the Norwegian sector of the North Sea and one in the U.S. Gulf of Mexico.
 
  Historically, the contract drilling market has been highly competitive and
cyclical; thus, the Company cannot predict the extent to which the current
market conditions will continue.
 
THE COMBINATION
 
  The purchase price allocation for the Combination included, at estimated
fair value, total assets of $1.09 billion and the assumption of total
liabilities of $352.2 million. The excess of the purchase price over the
estimated fair value of net assets acquired amounted to approximately $768.1
million, which has been accounted for as goodwill. The goodwill is being
amortized over 40 years and will result in amortization expense of
approximately $19 million per year. The purchase price allocation is based on
preliminary estimates and may be revised at a later date.
 
LIQUIDITY AND CAPITAL RESOURCES
 
  Capital Expenditures. In February 1996, the Company contracted to purchase
the Transocean Marianas and is in the process of converting it to an ultra-
deepwater drilling unit expected to be operational in the fourth quarter of
1997. The Company has received a letter of intent from Shell Offshore for a
three-year contract for the Transocean Marianas, which could be extended to
five years at the customer's option. This contract, if finalized, is
contingent upon the Company's conversion of the rig and is expected to
generate revenue from $128 million to $211 million, depending on final
contract length.
 
  In May 1996, the Company announced plans to construct a deepwater mobile
offshore drilling rig, the Discoverer Enterprise. The Company and Amoco have
entered into an agreement under which the Company will provide the Discoverer
Enterprise and a second-generation semisubmersible to Amoco for a combined
minimum commitment of six years. In July 1996, the Company entered into a
contract, for approximately $75 million, with a Spanish shipyard for the
construction of the hull and major marine systems of the Discoverer
Enterprise. The drillship is expected to be operational in the third quarter
of 1998. In June 1996, the Company purchased, for $32 million, the Transocean
Amirante to meet the requirements of the Amoco agreement. The rig is being
upgraded and is expected to be operational in the second quarter of 1997.
Revenues generated from the
 
                                      22
<PAGE>
 
base dayrates over the minimum period of the Amoco agreement are expected to
range from $330 million to $375 million.
 
  The Company's investments in its existing fleet and fleet additions
announced during 1996 will require significant capital expenditures in future
years. The Company expects total capital expenditures in 1997 to be
approximately $480 million. The purchase and conversion of the Transocean
Marianas is expected to require expenditures of approximately $125 million
during 1997, which includes $14 million of client requested upgrades. The
Discoverer Enterprise project is expected to require capital expenditures of
approximately $165 million during 1997 and $90 million during 1998. The
Company expects to spend approximately $40 million during 1997 for upgrades to
the Transocean Amirante. As with any major construction project that takes
place over an extended period of time, actual costs and the timing of such
expenditures may vary from initial estimates based on finalization of the
design and actual terms of awarded contracts. Expenditures for upgrades and
improvements to other rigs in the Company's operating fleet during 1997 are
expected to be approximately $150 million.
 
  The Company intends to fund the cash requirements relating to these capital
commitments through available cash balances, borrowings under the Credit
Agreement referred to below and, in the case of the Discoverer Enterprise and
Transocean Amirante, financing under the Project Financing Agreement referred
to below.
 
  In November 1996, the Company and GNPC entered into a bareboat charter
agreement for a drillship, the Discoverer 511. This agreement has a minimum
term of two years, which began in March 1997 following the mobilization to the
United States and the refurbishment and upgrade discussed below, and minimum
charter hire payment of $8.8 million. The drillship is being used for a three-
well turnkey drilling project with Pemex awarded to the Company in January
1997. In December 1996, the rig entered a U.S. Gulf Coast shipyard for a
refurbishment and upgrade program, which was completed in March 1997. Upgrade
and refurbishment costs incurred on the Discoverer 511 while in the shipyard
will be shared by the Company and GNPC, with the Company primarily responsible
for the installation of an existing Company-owned top drive system and
shipyard supervision. The Company's portion of the cost associated with the
upgrade of the rig is not expected to exceed $3 million.
 
  Credit Agreement and Project Financing Agreement. In connection with the
Combination, the Company entered into a new credit agreement ("Credit
Agreement") with a group of banks. The Credit Agreement provides for borrowing
by the Company under a six-year term loan facility in the amount of $200
million (the "Term Loan Facility") and a six-year revolving credit facility in
the amount of $400 million (the "Revolving Credit Facility"). Loans under the
Credit Agreement bear interest, at the option of the Company, at a base rate
or LIBOR plus a margin (0.35 percent at December 31, 1996) that varies
depending on the Company's funded debt to total capital ratio or its public
senior unsecured debt rating. The Credit Agreement requires compliance with
various restrictive covenants and effectively limits the Company's ability to
pay dividends based on a specified net worth requirement and an interest
coverage ratio. Quarterly principal payments began on the Term Loan Facility
on December 31, 1996. Both facilities have maturity dates of July 2002.
 
  In connection with the construction of the Discoverer Enterprise and upgrade
of the Transocean Amirante, the Company entered into a bank financing
agreement ("Project Financing Agreement"). Approximately $340 million is
available for drawdowns during the construction period and is available in two
tranches. The first tranche of $66 million is to be repaid by December 31,
1998 or when construction on both vessels is completed. It bears an interest
rate of LIBOR plus the same margin contained in the Company's Revolving Credit
Facility (0.35 percent at December 31, 1996). The second tranche of $274.5
million bears an interest rate of LIBOR plus 0.85 percent during the
construction period and is convertible to term financing upon completion of
construction and acceptance of the two vessels by Amoco (no later than
December 31, 1998). The term financing matures over a period of three to five
years based upon Amoco's contract selection. The term financing would also be
divided into two tranches, the relative amounts of which will depend on
various factors, including Amoco's contract selections for the Discoverer
Enterprise and the Transocean Amirante. One tranche of the term financing will
be sized based upon, and is expected to be repaid from, the net cash flows
generated from the Amoco
 
                                      23
<PAGE>
 
contracts (the "Amoco Cash Flows"). The Company has the option to accept bank
financing for the Amoco Cash Flows at LIBOR plus 0.65 percent or to enter into
an uncommitted lease securitization program at commercial paper rates plus
approximately 0.28 percent. The second tranche of the term facility is
expected to be repaid from Company cash flows (the "Backup Leases") to the
extent the Amoco Cash Flows do not cover scheduled repayments. The Company has
the option to accept bank financing at LIBOR plus 1.125 percent for a period
of three years and LIBOR plus 1.25 percent thereafter or to enter into a lease
securitization at commercial paper rates plus approximately 0.58 percent (as
long as the Company's credit rating is BBB- or Baa3 or better).
 
  The Company has letters of credit outstanding at December 31, 1996 totaling
$13.8 million, which guarantee various insurance and contract bidding
activities.
 
  Business Combinations. In September 1996, the Company issued 22,920,840
shares of Company common stock and paid approximately $207.4 million to
acquire 94.5 percent of the outstanding Transocean ASA shares. The Company
borrowed $200 million under the Term Loan Facility and used $7.4 million of
its cash to acquire the shares. In November and December 1996, the Company
paid $91.2 million to acquire an additional 3.2 million shares of Transocean
ASA, bringing its total ownership to more than 99 percent of the outstanding
shares of Transocean ASA. The Company borrowed $91.2 million under the
Revolving Credit Facility to fund the purchase of the additional Transocean
ASA shares. The holders of the remaining Transocean ASA shares are entitled to
seek a court determination of the price that the Company is obligated to pay
to purchase such shares.
 
  The Company regularly reviews possible acquisitions of businesses and
drilling units, and may from time to time in the future make significant
capital commitments for such purposes. Any such acquisition could involve the
payment by the Company of a substantial amount of cash and the issuance of a
substantial number of shares of common stock. The Company would expect to fund
the cash portion of any such acquisition through cash balances on hand, the
incurrence of additional debt, sales of assets or a combination of all three.
 
  Derivative Instruments. The Company enters into a variety of derivative
financial instruments in connection with the management of its exposure to
fluctuations in foreign exchange rates and interest rates. The Company does
not enter into derivative transactions for speculative purposes; however, for
accounting purposes certain transactions may not meet the criteria for hedge
accounting.
 
  Gains and losses on foreign exchange derivative instruments, which qualify
as accounting hedges, are deferred and recognized when the underlying foreign
exchange exposure is realized. At December 31, 1996 and 1995, there were no
material unrealized gains or losses on open foreign exchange derivative
hedges. Gains and losses on foreign exchange derivative instruments, which do
not qualify as hedges for accounting purposes, are recognized currently based
on the change in market value of the derivative instruments. At December 31,
1996, the net market value of open foreign exchange derivative instruments,
not qualifying as accounting hedges, all of which expire during 1997, was
approximately $1.6 million. The Company recognized a net pre-tax gain of $1.0
million on such instruments for the year ended December 31, 1996. The notional
amount of such open contracts was not significant. The Company did not utilize
foreign exchange derivative instruments in 1995 and 1994.
 
  The Company uses interest rate swap agreements and option contracts to
effectively convert a portion of its floating rate debt to a fixed rate basis,
reducing the impact of interest rate changes on future income. Interest rate
swaps and options are designated as a hedge of underlying future payments. The
interest rate differential to be received or paid on the swaps is recognized
over the lives of the swaps as an adjustment to interest expense. The fair
value of the interest rate swap agreements and option contracts obtained in
connection with the Transocean ASA Combination was recorded as of the
effective date of the Combination. At December 31, 1996, the net unrealized
loss on open interest rate swaps and options was $0.9 million, which has been
deferred because the Company intends to maintain these contracts through their
maturity. The Company did not utilize derivative instruments to manage
interest rate risk in 1995 and 1994.
 
                                      24
<PAGE>
 
  Sources and Uses of Cash. Cash flows provided by operations for the twelve
months ended December 31, 1996 increased $66.0 million from $59.5 million in
1995 to $125.5 million in 1996. The increase in cash provided by operations is
primarily associated with an increase in earnings, partially offset by
decreases due to changes in working capital components.
 
  Cash flows used in investing activities increased $466.9 million from 1995
to 1996. The significant increase was primarily due to the acquisition of
Transocean ASA and the increased capital expenditures related to the purchase
and upgrades of the Transocean Amirante, Transocean Marianas and Discoverer
Enterprise.
 
  Cash flows provided by financing activities increased $246.1 million in 1996
over 1995. The increase resulted primarily from borrowings under the Credit
Agreement offset by repayments of Transocean ASA debt and related financing
costs incurred in connection with the Combination.
 
  In June 1996, the Company disposed of the Offshore Bahram, which sank in
January 1996 while under tow offshore Egypt. The Company recognized a net pre-
tax gain on the disposal of approximately $6.6 million. Gross proceeds from
the disposal were approximately $10 million.
 
  Authorized Stock Repurchase. The Company's Board of Directors has authorized
the use of up to $50 million for the purchase of Company common stock from
time to time. At December 31, 1996, no shares of Company common stock had been
repurchased under this program. In February 1997, the Company repurchased
893,000 shares at a total cost of $49.9 million. Borrowings from the Revolving
Credit Facility were used to fund the repurchases.
 
  Sources of Liquidity. The Company believes that its cash and cash
equivalents, cash generated from operations, borrowings available under its
Credit Agreement, Project Financing Agreement and access to other financing
sources will be adequate to meet its anticipated short-term and long-term
liquidity requirements, including scheduled debt repayments.
 
  Shelf Registration. On March 13, 1997, the Board of Directors authorized the
registration on Form S-3 of a $750 million shelf offering of debt securities,
preferred stock, common stock and warrants to purchase preferred stock or
other debt securities.
 
  Asset Divestiture. In March 1997, the Company announced its intention to
divest certain activities and associated non-core assets within its Drilling
Services line of business. The specific activities to be divested include
platform drilling, workover and maintenance, as well as engineering and
construction services. The Company has retained Oslo-based Pareto Fonds to
structure the divested activities into a new corporate entity, which will be
sold to investors in Norway and subsequently listed on the Oslo Stock
Exchange. Revenues generated from the business activities to be divested
totaled approximately $110 million during the full year 1996 (including the
period prior to the Combination). Proceeds from the divestiture will be used
to repay debt.
 
FORWARD-LOOKING INFORMATION
 
  The statements included in this annual report regarding future financial
performance and results of operations and other statements that are not
historical facts are forward-looking statements within the meaning of Section
27A of the Securities Act of 1933 and Section 21E of the Securities Exchange
and Act of 1934. Statements to the effect that the Company or management
"anticipates," "believes," "estimates," "expects," "predicts," or "projects" a
particular result or course of events, or that such result or course of events
"should" occur, and similar expressions, are also intended to identify
forward-looking statements. Such statements are subject to numerous risks,
uncertainties and assumptions, including but not limited to, uncertainties
relating to industry and market conditions, prices of crude oil and natural
gas, foreign exchange and currency fluctuations, political instability in
foreign jurisdictions, ability of the Company to integrate newly acquired
operations and other factors discussed in this annual report and in the
Company's other filings with the Securities and Exchange Commission. Should
one or more of these risks or uncertainties materialize, or should underlying
assumptions prove incorrect, actual results may vary materially from those
indicated.
 
                                      25
<PAGE>
 
ITEM 8. FINANCIAL STATEMENTS AND SUPPLEMENTARY DATA
 
                         REPORT OF INDEPENDENT AUDITORS
 
To the Shareholders and Board of Directors
 Transocean Offshore Inc.
 
  We have audited the accompanying consolidated balance sheets of Transocean
Offshore Inc. and Subsidiaries (as further discussed in Note 1) as of December
31, 1996 and 1995, and the related consolidated statements of operations,
stockholders' equity, and cash flows for each of the three years in the period
ended December 31, 1996. These financial statements are the responsibility of
the Company's management. Our responsibility is to express an opinion on these
financial statements based on our audits.
 
  We conducted our audits in accordance with generally accepted auditing
standards. Those standards require that we plan and perform the audit to obtain
reasonable assurance about whether the financial statements are free of
material misstatement. An audit includes examining, on a test basis, evidence
supporting the amounts and disclosures in the financial statements. An audit
also includes assessing the accounting principles used and significant
estimates made by management, as well as evaluating the overall financial
statement presentation. We believe that our audits provide a reasonable basis
for our opinion.
 
  In our opinion, the consolidated financial statements referred to above
present fairly, in all material respects, the consolidated financial position
of Transocean Offshore Inc. and Subsidiaries at December 31, 1996 and 1995, and
the consolidated results of their operations and their cash flows for each of
the three years in the period ended December 31, 1996, in conformity with
generally accepted accounting principles.
 
                          /s/ ERNST & YOUNG LLP
Houston, Texas
February 3, 1997,
 except for Note
 19 as to which
 the date is March
 13, 1997
 
                                       26
<PAGE>
 
                   TRANSOCEAN OFFSHORE INC. AND SUBSIDIARIES
 
                     CONSOLIDATED STATEMENTS OF OPERATIONS
 
<TABLE>
<CAPTION>
                                                   YEARS ENDED DECEMBER 31,
                                                  ----------------------------
                                                    1996      1995      1994
                                                  --------  --------  --------
                                                  (IN THOUSANDS, EXCEPT PER
                                                         SHARE DATA)
<S>                                               <C>       <C>       <C>
OPERATING REVENUES............................... $528,903  $322,658  $242,953
                                                  --------  --------  --------
COSTS AND EXPENSES
  Operating and maintenance......................  351,569   222,367   179,279
  Depreciation and amortization..................   46,587    26,995    24,506
  General and administrative.....................   23,133    21,208    18,271
                                                  --------  --------  --------
                                                   421,289   270,570   222,056
                                                  --------  --------  --------
OPERATING INCOME.................................  107,614    52,088    20,897
                                                  --------  --------  --------
OTHER INCOME (EXPENSE), NET
  Equity in earnings (losses) of joint ventures..    5,168     1,892      (193)
  Interest income................................    5,245     4,392     1,594
  Interest expense, net..........................   (7,220)   (2,519)   (2,027)
  Interest adjustment related to settlement of
   tax case......................................      983     1,824        --
  Other, net.....................................    9,862    17,472       (32)
                                                  --------  --------  --------
                                                    14,038    23,061      (658)
                                                  --------  --------  --------
INCOME BEFORE INCOME TAXES.......................  121,652    75,149    20,239
Income Taxes.....................................   43,607    28,201     7,524
                                                  --------  --------  --------
NET INCOME....................................... $ 78,045  $ 46,948  $ 12,715
                                                  ========  ========  ========
EARNINGS PER SHARE............................... $   2.17  $   1.65  $   0.45
                                                  ========  ========  ========
Weighted-average Shares Outstanding..............   35,943    28,374    28,324
Dividends Paid Per Share......................... $   0.24  $   0.24  $   0.24
                                                  ========  ========  ========
</TABLE>
 
 
 
                            See accompanying notes.
 
                                       27
<PAGE>
 
                   TRANSOCEAN OFFSHORE INC. AND SUBSIDIARIES
 
                          CONSOLIDATED BALANCE SHEETS
 
<TABLE>
<CAPTION>
                                                              DECEMBER 31,
                                                           -------------------
                                                              1996      1995
                          ASSETS                           ---------- --------
                                                             (IN THOUSANDS,
                                                            EXCEPT PER SHARE
                                                                  DATA)
<S>                                                        <C>        <C>
Cash and Cash Equivalents................................. $   24,154 $112,972
Accounts Receivable
  Trade...................................................    150,546   50,450
  Other...................................................     18,027    2,383
Deferred Income Taxes.....................................     17,207    9,336
Materials and Supplies....................................     26,556   10,195
Prepayments...............................................      8,913    8,693
Other Current Assets......................................      6,843    1,002
                                                           ---------- --------
    Total Current Assets..................................    252,246  195,031
                                                           ---------- --------
Investments in and Advances to Joint Ventures.............     35,608   31,891
                                                           ---------- --------
Property and Equipment....................................  1,751,863  666,526
Less Accumulated Depreciation.............................    381,514  363,057
                                                           ---------- --------
  Property and Equipment, net.............................  1,370,349  303,469
                                                           ---------- --------
Goodwill, net.............................................    763,173       --
Other Assets..............................................     21,838   11,873
                                                           ---------- --------
    Total Assets.......................................... $2,443,214 $542,264
                                                           ========== ========
 
                      LIABILITIES AND STOCKHOLDERS' EQUITY
Accounts Payable
  Trade................................................... $   63,124 $ 14,213
  Affiliates..............................................      3,908    6,480
Accrued Income Taxes......................................     57,666   14,300
Current Portion of Long-Term Debt.........................     28,013       --
Other Current Liabilities.................................     78,767   27,151
                                                           ---------- --------
    Total Current Liabilities.............................    231,478   62,144
                                                           ---------- --------
Long-Term Debt............................................    392,322   30,000
Deferred Income Taxes.....................................    151,980   66,405
Other Long-Term Liabilities...............................     39,725   20,142
                                                           ---------- --------
    Total Long-Term Liabilities...........................    584,027  116,547
                                                           ---------- --------
Commitments and Contingencies
Preferred Stock, $0.10 par value; 50,000,000 shares
 authorized, none issued and outstanding..................         --       --
Common Stock, $0.01 par value; 150,000,000 shares and
 55,000,000 shares authorized; 51,522,985 shares and
 28,414,753 shares issued and outstanding at December 31,
 1996 and 1995, respectively..............................        515      284
Additional Paid-in Capital................................  1,501,159  307,093
Retained Earnings.........................................    126,035   56,196
                                                           ---------- --------
    Total Stockholders' Equity............................  1,627,709  363,573
                                                           ---------- --------
    Total Liabilities and Stockholders' Equity............ $2,443,214 $542,264
                                                           ========== ========
</TABLE>
 
                            See accompanying notes.
 
                                       28
<PAGE>
 
                   TRANSOCEAN OFFSHORE INC. AND SUBSIDIARIES
 
                CONSOLIDATED STATEMENTS OF STOCKHOLDERS' EQUITY
 
<TABLE>
<CAPTION>
                             COMMON STOCK   ADDITIONAL                TOTAL
                             --------------  PAID-IN    RETAINED  STOCKHOLDERS'
                             SHARES  AMOUNT  CAPITAL    EARNINGS     EQUITY
                             ------  ------ ----------  --------  -------------
                                  (IN THOUSANDS, EXCEPT PER SHARE DATA)
<S>                          <C>     <C>    <C>         <C>       <C>
Balance at December 31,
 1993....................... 28,294   $283  $  303,884  $ 10,139   $  314,306
  Net income................     --     --          --    12,715       12,715
  Restricted stock grants,
   net of forfeitures.......     67      1         495        --          496
  Unrealized gain on
   marketable security......     --     --         428        --          428
  Cash dividends ($0.24 per
   share)...................     --     --          --    (6,798)      (6,798)
                             ------   ----  ----------  --------   ----------
Balance at December 31,
 1994....................... 28,361    284     304,807    16,056      321,147
                             ------   ----  ----------  --------   ----------
  Net income................     --     --          --    46,948       46,948
  Exercise of stock options.     59     --       1,172        --        1,172
  Restricted stock grants,
   including early vesting..     (5)    --         634        --          634
  Unrealized gain on
   marketable security......     --     --         141        --          141
  Tax benefit from exercise
   of stock options.........     --     --         689        --          689
  Cost of secondary
   offering.................     --     --        (350)       --         (350)
  Cash dividends ($0.24 per
   share)...................     --     --          --    (6,808)      (6,808)
                             ------   ----  ----------  --------   ----------
Balance at December 31,
 1995....................... 28,415    284     307,093    56,196      363,573
                             ------   ----  ----------  --------   ----------
  Net income................     --     --          --    78,045       78,045
  Exercise of stock options.    181      2       3,479        --        3,481
  Restricted stock grants,
   net of forfeitures.......     28     --         491        --          491
  Reverse unrealized gain on
   marketable security sold
   during the period........     --     --        (570)       --         (570)
  Stock issued for
   Combination, net......... 22,921    229   1,191,958        --    1,192,187
  Purchase and cancellation
   of common stock..........    (22)    --      (1,292)       --       (1,292)
  Cash dividends ($0.24 per
   share)...................     --     --          --    (8,206)      (8,206)
                             ------   ----  ----------  --------   ----------
Balance at December 31,
 1996....................... 51,523   $515  $1,501,159  $126,035   $1,627,709
                             ======   ====  ==========  ========   ==========
</TABLE>
 
 
 
                            See accompanying notes.
 
                                       29
<PAGE>
 
                   TRANSOCEAN OFFSHORE INC. AND SUBSIDIARIES
 
                     CONSOLIDATED STATEMENTS OF CASH FLOWS
 
<TABLE>
<CAPTION>
                                                  YEARS ENDED DECEMBER 31,
                                                 -----------------------------
                                                   1996       1995      1994
                                                 ---------  --------  --------
                                                       (IN THOUSANDS)
<S>                                              <C>        <C>       <C>
CASH FLOWS FROM OPERATING ACTIVITIES
  Net income.................................... $  78,045  $ 46,948  $ 12,715
  Adjustments to reconcile net income to net
   cash provided by operating activities
    Depreciation and amortization...............    46,587    26,995    24,506
    Deferred income taxes.......................     6,528    (4,337)    2,252
    Equity in (earnings) losses of joint
     ventures...................................    (5,168)   (1,892)      193
    (Gain) loss on disposal of assets...........    (8,441)  (16,106)      460
    Other, net..................................     2,888    (3,857)   (2,313)
  Changes in operating assets and liabilities,
   net of effects from Combination with
   Transocean ASA
    Accounts and notes receivable...............   (15,477)  (10,315)   45,265
    Accounts payable............................    16,045       330    (7,605)
    Income taxes receivable/payable, net........     3,366    17,391    (2,776)
    Other current assets........................      (419)    2,332    (3,570)
    Other current liabilities...................     1,567     2,053    (5,262)
                                                 ---------  --------  --------
  Net cash provided by operating activities.....   125,521    59,542    63,865
                                                 ---------  --------  --------
CASH FLOWS FROM INVESTING ACTIVITIES
  Combination with Transocean ASA...............  (305,548)       --        --
  Cash acquired in Transocean ASA Combination,
   net..........................................    48,752        --        --
  Capital expenditures..........................  (212,959)  (18,905)  (59,221)
  Proceeds from disposal of assets, net.........    12,964    32,011     1,894
  Joint ventures and other investments..........     3,210       220    (3,793)
                                                 ---------  --------  --------
  Net cash provided by (used in) investing
   activities...................................  (453,581)   13,326   (61,120)
                                                 ---------  --------  --------
CASH FLOWS FROM FINANCING ACTIVITIES
  Net borrrowings on revolving lines of credit..   193,761        --        --
  Proceeds from term credit facility and senior
   notes........................................   200,000        --    30,000
  Repayments of debt............................  (139,307)       --        --
  Financing costs...............................    (8,789)       --        --
  Exercise of stock options.....................     3,481     1,172        --
  Changes in minority interests.................      (395)       64      (586)
  Dividends paid................................    (8,206)   (6,808)   (6,798)
  Other, net....................................    (1,303)   (1,315)       --
                                                 ---------  --------  --------
  Net cash provided by (used in) financing
   activities...................................   239,242    (6,887)   22,616
                                                 ---------  --------  --------
Net Increase (Decrease) in Cash and Cash
 Equivalents....................................   (88,818)   65,981    25,361
                                                 ---------  --------  --------
Cash and Cash Equivalents at Beginning of
 Period.........................................   112,972    46,991    21,630
                                                 ---------  --------  --------
Cash and Cash Equivalents at End of Period...... $  24,154  $112,972  $ 46,991
                                                 =========  ========  ========
</TABLE>
 
                            See accompanying notes.
 
                                       30
<PAGE>
 
                   TRANSOCEAN OFFSHORE INC. AND SUBSIDIARIES
 
                  NOTES TO CONSOLIDATED FINANCIAL STATEMENTS
 
NOTE 1--NATURE OF OPERATIONS AND SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES
 
  Nature of Operations--Prior to September 1996, Transocean Offshore Inc. and
its consolidated subsidiaries (the "Company") was known as Sonat Offshore
Drilling Inc. As part of the combination with Transocean ASA (see Note 2) the
Company changed its name. The Company provides contract drilling services for
oil and gas wells located in offshore areas throughout the world through its
three lines of business--Mobile Units, Turnkey Operations and Drilling
Services. The Company currently owns, has ownership interests in, or operates
a total of 30 mobile offshore drilling rigs, including two units not yet in
service (see Note 5). The Mobile Units line of business operates drilling rigs
for customers at a contractually determined price per day (dayrate). Turnkey
Operations involves drilling wells to specified depths for customers for a
fixed price. Drilling Services provides personnel and equipment other than
rigs for oil and gas exploration and production on either a dayrate or fixed
price basis.
 
  Principles of Consolidation--The consolidated financial statements include
the accounts of Transocean Offshore Inc. and its majority owned subsidiaries.
Intercompany transactions and accounts have been eliminated in consolidation.
The equity method of accounting is used for investments in joint ventures
owned 50 percent or less.
 
  Accounting Estimates--The preparation of financial statements in conformity
with generally accepted accounting principles requires management to make
estimates and assumptions that affect the reported amounts of assets and
liabilities and disclosure of contingent assets and liabilities at the date of
the financial statements and the reported amounts of revenues and expenses
during the reporting period. Actual results could differ from these estimates.
 
  Earnings Per Share--Earnings per share is based on the weighted-average
number of common shares outstanding for each of the years ending December 31,
1996, 1995 and 1994.
 
  Cash and Cash Equivalents--Cash equivalents are stated at cost plus accrued
interest, which approximates fair value. Cash equivalents are highly liquid
debt instruments with an original maturity of three months or less and consist
of time deposits with a number of commercial banks with high credit ratings in
the United States, United Kingdom and Norway. The Company may invest excess
funds in a no-load, open-end, management investment trust ("mutual fund"). The
mutual fund invests exclusively in high quality money market instruments.
Generally, the maturity date of the Company's investments is the next day of
business. Restricted cash totaled $0.9 million at December 31, 1996 and 1995.
Restrictions primarily relate to operating arrangements between a fully
consolidated subsidiary and an equity investee.
 
  Materials and Supplies--Materials and supplies are carried at average cost
less an allowance for obsolete materials and supplies.
 
  Property and Equipment--Equipment, land and machinery consisting primarily
of offshore drilling rigs and related equipment are carried at cost.
Equipment, land and machinery obtained in the combination with Transocean ASA
(see Note 2) were recorded at fair value. The Company generally provides for
depreciation on the straight-line method after allowing for salvage values.
The estimated useful life of drilling units ranges from 20 to 30 years and 3
to 12 years for other drilling equipment. Effective July 1, 1996, the Company
extended the useful lives of nine of its existing rigs by an average of five
years, in light of the continued improvements in the market. The effect of
this change in accounting estimate for the year ended December 31, 1996 on
depreciation expense and net income was $4.1 million and $2.7 million ($0.07
per share), respectively. Major renewals and upgrades to existing Company
assets are capitalized. Maintenance, repairs and minor renewals are expensed
as incurred. When assets are retired or otherwise disposed of, related costs
and accumulated depreciation are removed from the accounts. Depreciation
expense was $40.2 million, $27.0 million and $24.5 million in 1996, 1995 and
1994, respectively.
 
                                      31
<PAGE>
 
                   TRANSOCEAN OFFSHORE INC. AND SUBSIDIARIES
 
            NOTES TO CONSOLIDATED FINANCIAL STATEMENTS--(CONTINUED)
 
  Goodwill--The excess of the purchase price over the estimated fair value of
net assets acquired is accounted for as goodwill and is amortized on a
straight-line basis over 40 years (the period when benefits are expected to be
derived). Accumulated amortization as of December 31, 1996 totaled $6.4
million.
 
  Impairment of Long-Lived Assets--The carrying value of long-lived assets,
principally goodwill and property and equipment, is reviewed for potential
impairment when events or changes in circumstances indicate that the carrying
amount of such assets may not be recoverable. The determination of
recoverability is made based upon the estimated undiscounted future net cash
flows of the related asset.
 
  Operating Revenues and Expenses--Operating revenues are recognized as
earned, based on contractual daily rates or on a turnkey basis. Turnkey
profits are recognized on completion of the well and acceptance by the
customer; however, provisions for losses are made on contracts in progress
when losses are anticipated. In connection with drilling contracts, the
Company may receive lump sum fees for the mobilization of equipment and
personnel or for capital improvements to rigs. In connection with mobilization
reimbursements, the net of mobilization fees received and expenses incurred is
deferred and amortized over the appropriate periods of benefit, generally the
term of the contract. Costs of relocating drilling units without contracts to
more promising market areas are expensed as incurred. Upon completion of
drilling contracts, any demobilization fees received are reflected in income,
net of any related expenses. Capital upgrade fees received from the client are
deferred and recognized as revenue over the period of the drilling project.
The actual cost incurred for the capital upgrade is depreciated over the
estimated useful life of the asset. The Company incurs periodic survey and
drydock costs in connection with obtaining regulatory certification to operate
its rigs on an ongoing basis. Costs associated with these certifications are
systematically accrued as a liability prior to the actual survey and drydock.
 
  Capitalized Interest--Interest costs for the construction and upgrade of
qualifying assets are capitalized. The Company capitalized interest costs on
construction work in progress of $3.5 million for the year ended December 31,
1996. Interest costs were not capitalizable during 1995 and 1994.
 
  Derivative Instruments--The Company enters into a variety of derivative
financial instruments in connection with the management of its exposure to
fluctuations in foreign exchange rates and interest rates. The Company does
not enter into derivative transactions for speculative purposes; however, for
accounting purposes certain transactions may not meet the criteria for hedge
accounting (see Note 7).
 
  Foreign Currency Translation--The U.S. dollar is the functional currency for
the Company's foreign operations. Foreign currency exchange gains and losses
are included in other income as incurred. Net foreign currency gains (losses)
amounted to $2.1 million, ($0.3) million and ($1.0) million in 1996, 1995 and
1994, respectively.
 
  Income Taxes--Taxable income (loss) of the Company and its domestic
subsidiaries for taxable periods ended prior to June 5, 1993 is included in
the consolidated U.S. federal income tax return of Sonat Inc. (see Note 3).
Thereafter, the taxable income (loss) of the Company and its domestic
subsidiaries is included in the consolidated U.S. federal income tax return of
the Company and its affiliated group. The Company's foreign income tax
liabilities are based upon the results of operations of the various companies
in those foreign jurisdictions in which they are subject to tax.
 
  Stock-Based Compensation--In accordance with the provisions of the Financial
Accounting Standards Board's Statement of the Financial Accounting Standard
(SFAS) No. 123, Accounting for Stock-Based Compensation, which the Company
adopted in 1996, the Company has elected to follow the Accounting Principles
Board's Opinion No. 25, Accounting for Stock Issued to Employees, ("APB 25"),
and related interpretations in accounting for its employee stock option plans.
Under APB 25, if the exercise price of the Company's employee stock options
equals or exceeds the fair value of the underlying stock on the date of grant
as determined by the Company's Board of Directors, no compensation expense is
recognized.
 
                                      32
<PAGE>
 
                   TRANSOCEAN OFFSHORE INC. AND SUBSIDIARIES
 
            NOTES TO CONSOLIDATED FINANCIAL STATEMENTS--(CONTINUED)
 
NOTE 2--BUSINESS COMBINATION
 
  On September 3, 1996, the Company acquired 50,857,948 shares of Transocean
ASA, which constituted approximately 94 percent of the outstanding Transocean
ASA shares (the "Combination"). During November and December 1996, the Company
acquired additional Transocean ASA shares, bringing its total ownership to
over 99 percent of the outstanding shares. The Combination was deemed
effective for accounting purposes as of September 1, 1996; the financial
activity of the intervening period was not material to the financial
statements. Transocean ASA, a Norwegian corporation, is a major offshore
drilling company which, at the time of the Combination, owned or managed
thirteen mobile offshore drilling rigs. It also provides two additional types
of Drilling Services: (i) oil and gas platform drilling and well intervention
and (ii) oil services engineering and construction.
 
  In September 1996, Transocean ASA shares were acquired from the public
shareholders of Transocean ASA pursuant to an exchange offer (the "Exchange
Offer") providing for consideration of 0.53 shares of Company common stock for
each of 43,248,358 Transocean ASA shares (subject to payment of cash in lieu
of fractional shares) and $27.25 for each remaining Transocean ASA share. A
total of 22,920,840 shares of Company common stock and $207.4 million in cash
was delivered by the Company in exchange for the tendered Transocean ASA
shares pursuant to the Exchange Offer. In November 1996, the Company acquired
3,114,506 Transocean ASA shares at $28.74 per share or $89.5 million in
accordance with a mandatory offer (the "Mandatory Offer") pursuant to the
requirements of Norwegian law. The Company then commenced a compulsory offer
(the "Compulsory Offer") to acquire the remaining publicly-held shares not
previously tendered to the Company. As of December 31, 1996, the Company has
acquired 59,877 shares in the Compulsory Offer at $28.74 per share.
 
  The Company has initiated the process to purchase, and can be required under
Norwegian law to purchase, the shares of the remaining minority interest
Transocean ASA stockholders. The holders of the remaining Transocean ASA
shares (27,961 shares as of December 31, 1996) are entitled to seek a court
determination of the price that the Company is obligated to pay to purchase
such shares. Due to this requirement and due to the immateriality of the
minority interests' share of results of operations from the effective date of
the Combination through December 31, 1996, a minority interests' share is not
reflected in the Statement of Operations.
 
  The purchase price consists of the following:
 
<TABLE>
<CAPTION>
                                                                  (IN MILLIONS)
<S>                                                               <C>
Company common stock issued to Transocean ASA stockholders.......   $1,198.2
Cash consideration paid to Transocean ASA stockholders...........      298.8
Direct transaction costs.........................................        6.9
Estimated cost of acquiring the remaining Transocean ASA shares
 in the Compulsory Offer.........................................        0.8
                                                                    --------
  Total Purchase Price...........................................   $1,504.7
                                                                    ========
</TABLE>
 
  The value of the common stock issued to Transocean ASA stockholders was
calculated based on the average of the closing prices of Company common stock
over the five-day period commencing two days before May 20, 1996, the date on
which the revised offering price for the Transocean ASA Combination was
announced.
 
  The acquisition of Transocean ASA was accounted for as a purchase. The
purchase price included, at estimated fair value, current assets of $168.9
million, drilling and other property and equipment of $895.9 million, other
assets of $24.0 million and the assumption of current liabilities of $164.1
million, other net long-term liabilities of $18.1 million and long-term debt
of $98.6 million. In addition, a deferred tax liability of $71.4 million was
recorded primarily for the difference in the basis for tax and financial
reporting purposes of the net assets acquired. The excess of the purchase
price over the estimated fair value of net assets acquired amounted
 
                                      33
<PAGE>
 
                   TRANSOCEAN OFFSHORE INC. AND SUBSIDIARIES
 
            NOTES TO CONSOLIDATED FINANCIAL STATEMENTS--(CONTINUED)
to approximately $768.1 million, which has been accounted for as goodwill. The
purchase price allocation is based on preliminary estimates and may be revised
at a later date. In connection with the Combination, the Company is assessing
the operations of the combined Company and is formulating a plan for the
integration of both companies. The plan may include, among other things, the
closure of duplicate locations and the evaluation of personnel requirements.
Costs associated with such a plan may be considered additional liabilities
and, therefore, result in an adjustment to the allocation of the purchase
price. Alternatively, certain costs may be required to be expensed in
accordance with applicable accounting standards. The Company cannot predict
the magnitude or treatment of such costs at this time.
 
  The accompanying Consolidated Statements of Operations include the operating
results of Transocean ASA since the effective date of the Combination.
Unaudited pro forma consolidated operating results of the Company and
Transocean ASA for the years ended December 31, 1996 and 1995, assuming the
acquisition had been made as of January 1, 1996 and 1995, respectively, are
summarized as follows:
 
<TABLE>
<CAPTION>
                                                                 YEARS ENDED
                                                                DECEMBER 31,
                                                              -----------------
                                                                1996     1995
                                                              -------- --------
                                                               (IN THOUSANDS,
                                                              EXCEPT PER SHARE
                                                                    DATA)
<S>                                                           <C>      <C>
Operating revenues........................................... $785,254 $670,770
Income from continuing operations............................   34,199   12,663
Income from discontinued operations..........................   50,671    2,946
                                                              -------- --------
  Net income................................................. $ 84,870 $ 15,609
                                                              ======== ========
Earnings per share:
Income from continuing operations............................ $   0.66 $   0.24
Income from discontinued operations..........................     0.99     0.06
                                                              -------- --------
  Net income................................................. $   1.65 $   0.30
                                                              ======== ========
</TABLE>
 
  The pro forma information for the years ended December 31, 1996 and 1995,
includes adjustments for additional depreciation based on the fair market
value of the drilling and other property and equipment acquired, the
amortization of goodwill arising from the transaction, increased interest
expense for additional borrowings under the Credit Agreement (see Note 6) as
if they were incurred at the beginning of the period and related adjustments
for income taxes. Pro forma net income from discontinued operations for the
twelve months ended December 31, 1996 includes a $51 million gain on the sale
of a Transocean ASA discontinued business segment, which was disposed of in
June 1996 prior to the Combination. The pro forma information is not
necessarily indicative of the results of operations had the transactions been
affected on the assumed dates or the results of operations for any future
period.
 
NOTE 3--COMMON STOCK OFFERINGS
 
  On June 4, 1993, the Company completed an initial public offering and sale
of 15,500,000 shares of its common stock. Prior to the offering, the Company
was a wholly owned subsidiary of Sonat Inc. ("Sonat"). Subsequent to this
offering Sonat continued to own approximately 40 percent of the outstanding
shares of the Company. In July 1995, Sonat sold its remaining shares of the
Company through a secondary public offering. Costs to the Company for the
secondary public offering were $0.3 million.
 
                                      34
<PAGE>
 
                   TRANSOCEAN OFFSHORE INC. AND SUBSIDIARIES
 
            NOTES TO CONSOLIDATED FINANCIAL STATEMENTS--(CONTINUED)
 
NOTE 4--SALE OF DRILLING RIGS
 
  In 1996, the Offshore Bahram sank while under tow offshore Egypt. The
Company disposed of the rig and recognized a net pre-tax gain of approximately
$6.6 million ($4.3 million after-tax or $0.12 per share).
 
  In 1995, the Company sold six of its bottom-supported drilling rigs which
were not strategically aligned with the Company's long-term focus. Five of
these rigs were located in the U.S. Gulf of Mexico: the Offshore Taurus, the
Sonat D-F 77, the Sonat D-F 84, the Sonat D-F 85, and the Sonat D-F 86. In a
separate transaction, the Company sold the Offshore Aquarius which was located
in the Middle East. A net gain of $16.6 million ($10.8 million after tax or
$0.38 per share) was recorded relating to these transactions.
 
NOTE 5--PURCHASE AND CONVERSION OF DRILLING RIGS
 
  In February 1996, the Company agreed to purchase a semisubmersible multi-
service vessel, to be named the "Transocean Marianas", which is being
converted to a deepwater drilling unit. Initial modifications were performed
in Singapore. In January 1997, the rig arrived in a shipyard in the U.S. Gulf
of Mexico to complete the conversion. It is expected that the rig will be
placed in service in the fourth quarter of 1997. The purchase and conversion
of this rig is expected to result in capital spending of approximately $190
million, which includes $14.0 million of client requested upgrades. The
Company spent $65.8 million during 1996 on this construction project.
 
  In May 1996, the Company announced plans to construct a deepwater mobile
offshore drilling rig, to be called the "Discoverer Enterprise", which will
initially be outfitted to drill in 7,000 feet of water but will be capable of
being outfitted for exploration and development drilling in water depths up to
10,000 feet. The Company and Amoco Exploration and Production Company
("Amoco") have entered into an agreement under which the Company will provide
the Discoverer Enterprise and a second-generation semisubmersible to Amoco for
a combined minimum commitment of six years. In July 1996, the Company entered
into a contract, for approximately $75 million, with a Spanish shipyard,
Astilleros y Talleres del Noroeste SA, for the construction of the hull and
major marine systems of the Discoverer Enterprise. The drillship is expected
to be operational in the third quarter of 1998. The required capital
commitment for this project is estimated to be approximately $290 million. The
Company spent $36.6 million during 1996 on this project.
 
  In June 1996, the Company purchased, for $32 million, a second-generation
semisubmersible, the Transocean Amirante, to meet the requirements of the
Amoco agreement. The rig is being upgraded and is expected to be operational
in the second quarter of 1997. The purchase and upgrade of this rig is
expected to result in capital spending of approximately $85 million. The
Company spent $46.2 million during 1996 on the project. The Company negotiated
a $340 million project financing arrangement relating to the Discoverer
Enterprise and Transocean Amirante projects (see Note 6).
 
  In November 1996, the Company and the Ghana National Petroleum Corporation
(GNPC) entered into a bareboat charter agreement for the Discoverer 511. This
agreement has a minimum term of two years, which began in March 1997 following
the mobilization to the United States and the refurbishment and upgrade
program discussed below, and minimum charter hire payment of $8.8 million. The
drillship is being used for a three-well turnkey drilling project with
Petroleos Mexicanos ("Pemex") awarded to the Company in January 1997. In
December 1996, the rig entered a U.S. Gulf Coast shipyard for a refurbishment
and upgrade program, which is to be completed in March 1997. Upgrade and
refurbishment costs incurred on the Discoverer 511 while in the shipyard will
be shared by the Company and GNPC, with the Company primarily responsible for
the installation of an existing Company-owned top drive system and shipyard
supervision. The Company's portion of the cost associated with the upgrade of
the rig, which is not expected to exceed $3 million, will be treated as a
leasehold improvement and amortized over the term of the bareboat charter
agreement.
 
                                      35
<PAGE>
 
                   TRANSOCEAN OFFSHORE INC. AND SUBSIDIARIES
 
            NOTES TO CONSOLIDATED FINANCIAL STATEMENTS--(CONTINUED)
 
  In February 1994, the Company purchased the 52.5 percent interest in the
Polar Pioneer, a fourth-generation semisubmersible rig, which was previously
owned by the Company's Norwegian partners in Partrederiet Polar Frontier
Drilling ("Polar Frontier"); NNDC Polar as and Wilhelmsen Offshore Norway as
("Wilhelmsen"). The Company paid $47.5 million which was funded through the
proceeds from the issuance of the Notes (see Note 6) and existing cash
balances. The agreement with Wilhelmsen provides for payment of limited future
consideration contingent upon future operations of the Polar Pioneer (see Note
12). As a result of the purchase, the Company owns 100 percent of the Polar
Pioneer and the results of its operations from the date of purchase are
included in the Company's consolidated financial statements.
 
NOTE 6--DEBT
 
  Debt is comprised of the following:
 
<TABLE>
<CAPTION>
                                                                 DECEMBER 31,
                                                               ----------------
                                                                 1996    1995
                                                               -------- -------
                                                                (IN THOUSANDS)
      <S>                                                      <C>      <C>
      Term Loan Facility...................................... $193,250 $    --
      Revolving Credit Facility...............................  193,761      --
      Notes Payable...........................................   30,000  30,000
      Other...................................................    3,324      --
                                                               -------- -------
        Total Debt............................................  420,335  30,000
      Less Current Maturities.................................   28,013      --
                                                               -------- -------
        Total Long-Term Debt.................................. $392,322 $30,000
                                                               ======== =======
</TABLE>
 
  Term Loan and Revolving Credit Facilities--In connection with the
Combination, the Company obtained a secured credit agreement, dated as of July
30, 1996 (the "Credit Agreement"), with a group of banks. The Credit Agreement
provides for borrowing by the Company under (i) a six-year term loan facility
in the amount of $200 million (the "Term Loan Facility") and (ii) a six-year
revolving credit facility in the amount of $400 million (the "Revolving Credit
Facility"). Loans under the Credit Agreement bear interest, at the option of
the Company, at a base rate or LIBOR plus a margin (0.35 percent at December
31, 1996) that varies depending on the Company's funded debt to total capital
ratio or its public senior unsecured debt rating. The Credit Agreement
requires compliance with various restrictive covenants and effectively limits
the Company's ability to pay dividends based on specified net worth
requirements and an interest coverage ratio. Both facilities have maturity
dates of July 30, 2002. The Term Loan Facility repayment schedule over the
next five years and thereafter is as follows: 1997--$27.0 million, 1998--$28.5
million, 1999--$33.0 million, 2000--$34.8 million, 2001--$40.0 million, and
$30.0 million thereafter.
 
  The Company has converted $90 million of the Credit Agreement borrowing from
a variable interest rate to a weighted-average 7.0 percent fixed interest rate
through the use of interest rate swap agreements, maturing over the term of
the facility. The creditworthiness of the counterparties to these swap
agreements is monitored continually and the Company believes the exposure to
credit loss is minimal (see Note 7).
 
  Notes Payable--In February 1994, the Company issued $30 million principal
amount senior notes (the "Notes") in a private placement. The Notes bear
interest at 6.9 percent. The terms of the Notes require the Company to comply
with certain restrictive covenants, maintain certain financial ratios and
limit the Company's ability to pay dividends. The Notes mature over the next
five years and thereafter as follows: 1997--none, 1998--$4.6 million, 1999--
$4.6 million, 2000--$4.6 million, 2001--$4.6 million, and $11.6 million
thereafter, and had a fair value at December 31, 1996 which approximated book
value.
 
                                      36
<PAGE>
 
                   TRANSOCEAN OFFSHORE INC. AND SUBSIDIARIES
 
            NOTES TO CONSOLIDATED FINANCIAL STATEMENTS--(CONTINUED)
 
  Project Financing Agreement--In connection with the construction of the
Discoverer Enterprise and upgrade of the Transocean Amirante, Transocean
Enterprise Inc., a wholly owned subsidiary of the Company, obtained a bank
financing agreement, effective December 27, 1996 (the "Project Financing
Agreement"). Approximately $340.5 million is available for drawdowns during the
construction period and is available in two tranches. The first tranche of $66
million is to be repaid by December 31, 1998 or when construction on both
vessels is completed and they are accepted by Amoco. It bears an interest rate
of LIBOR plus the same margin contained in the Company's Revolving Credit
Facility (0.35 percent at December 31, 1996). The second tranche of $274.5
million bears an interest rate of LIBOR plus 0.85 percent during the
construction period and is convertible to term financing upon completion of
construction and acceptance of the two vessels by Amoco (no later than December
31, 1998). The term financing matures over a period of three to five years
based upon Amoco's contract selection. The term financing would also be divided
into two tranches, the relative amounts of which will depend on various
factors, including Amoco's contract selections for the Discoverer Enterprise
and the Transocean Amirante. One tranche of the term financing will be sized
based upon, and is expected to be repaid from, the net cash flows generated
from the Amoco contracts (the "Amoco Cash Flows"). The Company has the option
to accept bank financing for the Amoco Cash Flows at LIBOR plus 0.65 percent or
to enter into a lease securitization program at commercial paper rates plus
approximately 0.28 percent. The second tranche of the term facility is expected
to be repaid from Company cash flows (the "Backup Leases") to the extent the
Amoco Cash Flows do not cover scheduled repayments. The Company has the option
to accept bank financing at LIBOR plus 1.125 percent for a period of three
years and LIBOR plus 1.25 percent thereafter or to enter into an uncommitted
lease securitization at commercial paper rates plus approximately 0.58 percent
(as long as the Company's credit rating is BBB- or Baa3 or better). In the
lease securitization program, Transocean Enterprise Inc. would secure bank
liquidity facilities to act as backup lines of credit for the commercial paper
program.
 
  Transocean Enterprise Inc. has pledged all of its assets, consisting
primarily of the two rigs, to the banks for the Project Financing Agreement,
the lease securitization facility (if entered into) and the interest rate swap
transaction described below. In addition, during the construction period, the
Company has entered into a completion guarantee so that if for any reason the
vessels are not completed and accepted by Amoco, the Company will repay the
indebtedness under the construction financing facility, has guaranteed the
obligations of Transocean Enterprise Inc. with respect to the $66 million
construction period tranche of the Project Financing Agreement, and has
guaranteed certain other obligations of Transocean Enterprise Inc. The Company
has also entered into operations and maintenance agreements with Transocean
Enterprise Inc. pursuant to which it will operate and maintain the Discoverer
Enterprise and Transocean Amirante for a fixed fee while they are subject to
the Project Financing Agreement or the lease securitization facility. No
amounts were outstanding as of December 31, 1996. In January 1997,
approximately $81 million was drawn on this agreement.
 
  Transocean Enterprise Inc. entered into two interest rate swap transactions
in connection with its Project Financing Agreement for an initial notional
amount of $271.2 million with the agent of this facility. Under these
agreements, Transocean Enterprise Inc. will pay interest at an average fixed
rate of 6.4 percent plus a margin and will receive interest payments at the one
month commercial paper rate beginning in 1998 when the related construction
financing converts to term financing.
 
  Letters of Credit--The Company has letters of credit outstanding at December
31, 1996 totaling $13.8 million, which guarantee various insurance and contract
bidding activities.
 
                                       37
<PAGE>
 
                   TRANSOCEAN OFFSHORE INC. AND SUBSIDIARIES
 
            NOTES TO CONSOLIDATED FINANCIAL STATEMENTS--(CONTINUED)
 
NOTE 7--FINANCIAL INSTRUMENTS AND RISK CONCENTRATION
 
  Foreign Exchange Risk--The Company operates internationally resulting in
exposure to foreign exchange risk. This risk is primarily associated with
compensation costs denominated in currencies other than the U.S. dollar and
with purchases from foreign suppliers. The Company uses a variety of
techniques to minimize the exposure to foreign exchange risk, including
customer contract payment terms and the use of foreign exchange derivative
instruments.
 
  The Company's primary foreign exchange risk management strategy involves
structuring customer contracts to provide for payment in both U.S. dollars and
local currency. The payment portion denominated in local currency is based on
anticipated local currency requirements over the contract term. Foreign
exchange derivative instruments, specifically, foreign exchange forward
contracts and foreign exchange options, may be used to minimize foreign
exchange risk in instances where the primary strategy is not attainable.
 
  Gains and losses on foreign exchange derivative instruments, which qualify
as accounting hedges, are deferred and recognized when the underlying foreign
exchange exposure is realized. At December 31, 1996 and 1995, there were no
material unrealized gains or losses on open foreign exchange derivative
hedges. Gains and losses on foreign exchange derivative instruments, which do
not qualify as hedges for accounting purposes, are recognized currently based
on the change in market value of the derivative instruments. At December 31,
1996, the net market value of open foreign exchange derivative instruments,
not qualifying as accounting hedges, all of which expire during 1997, was
approximately $1.6 million. The Company recognized a net pre-tax gain of $1.0
million on such instruments for the year ended December 31, 1996. The notional
amount of such open contracts was not significant. The Company did not utilize
foreign exchange derivative instruments in 1995 and 1994.
 
  Interest Rate Risk--The Company uses interest rate swap agreements and
option contracts to effectively convert a portion of its floating rate debt to
a fixed rate basis, reducing the impact of interest rate changes on future
income. Interest rate swaps and options are designated as a hedge of
underlying future payments. The interest rate differential to be received or
paid on the swaps is recognized over the lives of the swaps as an adjustment
to interest expense. The fair value of the interest rate swap agreements and
option contracts obtained in connection with the Transocean ASA Combination
was recorded as of the effective date of the Combination. At December 31,
1996, the net unrealized loss on open interest rate swaps and options was $0.9
million, which has been deferred because the Company intends to maintain these
contracts through their maturity (see Note 6).
 
  Credit Risk--Financial instruments which potentially subject the Company to
concentrations of credit risk are primarily cash and cash equivalents and
trade receivables. It is the Company's practice to place its cash and cash
equivalents in time deposits at commercial banks with high credit ratings or
mutual funds which invest exclusively in high quality money market
instruments. In foreign locations, local financial institutions are generally
utilized for local currency needs. The Company limits the amount of exposure
to any one institution and does not believe it is exposed to any significant
credit risk.
 
  The Company derives the majority of its revenue from services to
international oil companies and government-owned and government-controlled oil
companies. There are concentrations of receivables in the United States,
Norway and the United Kingdom (see Note 17). The Company had no significant
credit losses in each of the years in the three-year period ended December 31,
1996. The Company is not aware of any significant credit risks relating to its
customer base and does not generally require collateral or other security to
support customer receivables.
 
  Labor Agreements--On a worldwide basis, the Company had approximately 43
percent of its employees working under collective bargaining agreements at
December 31, 1996. Of these represented employees, none are working under
agreements that expire in 1997. The majority of these employees are
represented by Norwegian unions.
 
                                      38
<PAGE>
 
                   TRANSOCEAN OFFSHORE INC. AND SUBSIDIARIES
 
            NOTES TO CONSOLIDATED FINANCIAL STATEMENTS--(CONTINUED)
 
NOTE 8--OTHER CURRENT LIABILITIES
 
  Other current liabilities are comprised of the following:
 
<TABLE>
<CAPTION>
                                                                 DECEMBER 31,
                                                                ---------------
                                                                 1996    1995
                                                                ------- -------
                                                                (IN THOUSANDS)
      <S>                                                       <C>     <C>
      Accrued Drydock.......................................... $19,630 $ 6,908
      Accrued Personnel Taxes..................................  14,911   3,949
      Accrued Payroll..........................................  13,154     893
      Accrued Workers' Insurance...............................   5,314   4,937
      Accrued Turnkey Costs....................................   4,234   1,077
      Incentive Compensation and Bonus Accruals................   4,132   4,014
      Accrued Interest.........................................   3,159     808
      Accrued Taxes, Other Than Income.........................   2,988   3,657
      Other....................................................  11,245     908
                                                                ------- -------
                                                                $78,767 $27,151
                                                                ======= =======
</TABLE>
 
NOTE 9--OTHER LONG-TERM LIABILITIES
 
  Other long-term liabilities are comprised of the following:
 
<TABLE>
<CAPTION>
                                                                  DECEMBER 31,
                                                                 ---------------
                                                                  1996    1995
                                                                 ------- -------
                                                                 (IN THOUSANDS)
      <S>                                                        <C>     <C>
      Accrued Pension and Early Retirement...................... $10,934 $ 1,047
      Accrued Retiree Life Insurance and Medical Benefits.......  11,771  11,237
      Long-Term Portion of Accrued Drydock......................   4,601      --
      Long-Term Portion of Accrued Workers' Insurance...........   3,524   4,467
      Deferred Income...........................................   3,245     608
      Minority Interest.........................................   2,850   1,194
      Other.....................................................   2,800   1,589
                                                                 ------- -------
                                                                 $39,725 $20,142
                                                                 ======= =======
</TABLE>
 
NOTE 10--SUPPLEMENTAL CASH FLOW INFORMATION
 
  Non-cash financing activities for the twelve months ended December 31, 1996
included $1.198 billion for the issuance of 22.9 million shares of common
stock in connection with the Combination between the Company and Transocean
ASA. Non-cash investing activities for the twelve months ended December 31,
1996 included $1.439 billion of net assets acquired in the Combination with
Transocean ASA (see Note 2). Cash payments for interest were $ 10.6 million,
$2.5 million and $1.4 million for the years ended December 31, 1996, 1995 and
1994, respectively. Cash payments for income taxes, net, were $ 34.4 million,
$15.3 million and $6.8 million for the years ended December 31, 1996, 1995 and
1994, respectively.
 
  Concurrent with the purchase of the 52.5 percent interest in the Polar
Pioneer in February 1994 (see Note 5), the Company received a non-cash
distribution from Polar Frontier of its 47.5 percent interest in the rig. The
adjusted distribution has been reflected in the consolidated balance sheets as
a decrease in investments in joint ventures of $38.7 million, with
corresponding increases in property and equipment of $37.0 million, materials
and supplies of $0.9 million and other assets of $0.8 million.
 
                                      39
<PAGE>
 
                   TRANSOCEAN OFFSHORE INC. AND SUBSIDIARIES
 
            NOTES TO CONSOLIDATED FINANCIAL STATEMENTS--(CONTINUED)
 
NOTE 11--INCOME TAXES
 
  The Company carries out its operations through both domestic and foreign
corporations. Income (loss) before income taxes for these corporations is as
follows:
 
<TABLE>
<CAPTION>
                                                       YEARS ENDED DECEMBER 31,
                                                       ------------------------
                                                         1996    1995    1994
                                                       -------- ------- -------
                                                            (IN THOUSANDS)
<S>                                                    <C>      <C>     <C>
Domestic.............................................. $108,222 $73,705 $21,737
Foreign...............................................   13,430   1,444  (1,498)
                                                       -------- ------- -------
  Income Before Income Taxes.......................... $121,652 $75,149 $20,239
                                                       ======== ======= =======
</TABLE>
 
  The Company is subject to both U.S. and foreign income taxes. Provisions for
income taxes represent estimates of expense which will ultimately be paid. An
analysis of the Company's income taxes is as follows:
 
<TABLE>
<CAPTION>
                                                          YEARS ENDED DECEMBER
                                                                  31,
                                                         -----------------------
                                                          1996    1995     1994
                                                         ------- -------  ------
                                                             (IN THOUSANDS)
<S>                                                      <C>     <C>      <C>
CURRENT:
  Federal............................................... $30,400 $24,548  $3,974
  Foreign...............................................   6,619   7,887     890
  State.................................................      60     103     408
                                                         ------- -------  ------
                                                          37,079  32,538   5,272
                                                         ------- -------  ------
DEFERRED:
  Federal...............................................   2,873  (4,337)  2,252
  Foreign...............................................   3,655      --      --
                                                         ------- -------  ------
                                                           6,528  (4,337)  2,252
                                                         ------- -------  ------
Income Taxes............................................ $43,607 $28,201  $7,524
                                                         ======= =======  ======
</TABLE>
 
                                      40
<PAGE>
 
                   TRANSOCEAN OFFSHORE INC. AND SUBSIDIARIES
 
            NOTES TO CONSOLIDATED FINANCIAL STATEMENTS--(CONTINUED)
 
  Unremitted earnings of foreign subsidiaries of the Company, before provision
for income taxes, as of December 31, 1996 aggregated approximately $17.6
million. There were no unremitted earnings of foreign subsidiaries as of
December 31, 1995 and 1994. Foreign and federal income taxes aggregating
approximately $6.2 million have been paid or accrued on such earnings.
 
  Deferred tax assets and liabilities are comprised of the following:
 
<TABLE>
<CAPTION>
                                                              DECEMBER 31,
                                                           -------------------
                                                             1996       1995
                                                           ---------  --------
                                                             (IN THOUSANDS)
<S>                                                        <C>        <C>
DEFERRED TAX ASSETS--CURRENT
Drydock accruals.......................................... $   3,064  $  2,418
Accrued employee taxes....................................     1,417     1,382
Workers' compensation insurance accruals..................     1,070     1,201
Other accruals............................................     9,386     1,032
Retirement and benefit plan accruals......................       448       737
Insurance accruals........................................       762       537
Other.....................................................     1,060     2,029
                                                           ---------  --------
  Total Current Deferred Tax Assets....................... $  17,207  $  9,336
                                                           =========  ========
DEFERRED TAX ASSETS--NONCURRENT
Net operating loss carry forward.......................... $  59,955  $     --
Retirement and benefit plan accruals......................    15,822     4,304
Other accruals............................................     8,656     2,757
Deferred income...........................................       291       212
Other.....................................................       846        --
                                                           ---------  --------
  Total Noncurrent Deferred Tax Assets....................    85,570     7,273
                                                           ---------  --------
DEFERRED TAX LIABLITIES--NONCURRENT
Depreciation and amortization.............................  (231,873)  (72,768)
Deferred gains............................................    (5,292)       --
Other accruals............................................        --      (910)
Other.....................................................      (385)       --
                                                           ---------  --------
  Total Noncurrent Deferred Tax Liabilities...............  (237,550)  (73,678)
                                                           ---------  --------
  Net Noncurrent Deferred Tax Liabilities................. $(151,980) $(66,405)
                                                           =========  ========
</TABLE>
 
  The Company has not provided a valuation allowance to offset the deferred
tax assets because, in the opinion of management, it is more likely than not
that all deferred tax assets will be realized. The Company has net loss carry
forwards relating to foreign taxes resulting from the Combination with
Transocean ASA totaling $214.1 million. These net loss carry forwards expire
in the year 2000 and thereafter.
 
                                      41
<PAGE>
 
                   TRANSOCEAN OFFSHORE INC. AND SUBSIDIARIES
 
            NOTES TO CONSOLIDATED FINANCIAL STATEMENTS--(CONTINUED)
 
  Income taxes differ from the amount computed by applying the U.S. federal
income tax rate to the income before income taxes. The reasons for these
differences are as follows:
 
<TABLE>
<CAPTION>
                                                       YEARS ENDED DECEMBER
                                                               31,
                                                      ------------------------
                                                       1996     1995     1994
                                                      -------  -------  ------
                                                          (IN THOUSANDS)
<S>                                                   <C>      <C>      <C>
Income Taxes at Statutory Federal Income Tax Rate.... $42,578  $26,302  $7,084
Increases (Decreases) in Tax Resulting From
 Equity earnings (losses) in foreign investments.....    (832)    (439)    323
 Detriment (benefit) from losses of foreign
  subsidiaries.......................................   1,623       26    (445)
 Nondeductible expenses..............................     297      386     438
 Other...............................................     (59)   1,926     124
                                                      -------  -------  ------
Income Taxes......................................... $43,607  $28,201  $7,524
                                                      =======  =======  ======
</TABLE>
 
  The Company has been and will be included in the consolidated federal income
tax returns filed by Sonat during all periods in which Sonat ownership has
been greater than 80 percent ("Affiliation Years"). The Company and Sonat have
entered into a Tax Sharing Agreement providing for the manner of determining
payments with respect to federal income tax liabilities and benefits arising
in Affiliation Years. Under the Tax Sharing Agreement, the Company will pay to
Sonat an amount equal to the Company's share of the Sonat consolidated federal
income tax liability, generally determined on a separate return basis. In
addition, Sonat will pay the Company for utilization by Sonat of deductions,
losses and credits which are attributable to the Company and in excess of that
which would be utilized on a separate return basis.
 
  In 1995 Sonat and the Company reached an agreement with the United States
Internal Revenue Service ("IRS") on adjustments asserted in connection with
the examination of Sonat's consolidated U.S. federal income tax returns for
the years 1986 through 1988. Pursuant to the Tax Sharing Agreement between
Sonat and the Company, a portion of this final tax settlement along with the
associated interest was allocated to the Company. Accordingly, the Company
received a refund of federal income tax and the associated interest from Sonat
totaling $7.0 million. The accompanying consolidated financial statements for
the year ended December 31, 1995 reflect an increase in net interest income of
$1.8 million, related to the settlement of this examination. In the year ended
December 31, 1996, the Company received $1.0 million of additional interest
income from Sonat related to the prior settlement of an examination of the
years 1983 through 1985.
 
  The IRS is currently auditing the years 1989 through 1991. In addition,
certain foreign tax authorities have questioned the amounts of income and
expense subject to tax in their jurisdiction for prior periods. The Company is
currently contesting additional assessments which have been asserted and may
contest any future assessments. In the opinion of management, the ultimate
resolution of these asserted income tax liabilities will not have a material
adverse effect on the Company's consolidated financial statements.
 
                                      42
<PAGE>
 
                   TRANSOCEAN OFFSHORE INC. AND SUBSIDIARIES
 
            NOTES TO CONSOLIDATED FINANCIAL STATEMENTS--(CONTINUED)
 
NOTE 12--COMMITMENTS AND CONTINGENCIES
 
  Leases--The Company has operating lease commitments expiring at various
dates, principally for office space and office equipment, including the lease
of its corporate offices from Sonat. In addition to rental payments, some
leases provide that the Company pay a pro rata share of operating costs
applicable to the leased property. The Company had no significant capital
leases as of December 31, 1996 or 1995. At December 31, 1996, future minimum
payments for noncancellable operating leases are as follows:
 
<TABLE>
<CAPTION>
                                                           WITH
                                                           SONAT  OTHER   TOTAL
                                                          ------- ------ -------
                                                              (IN THOUSANDS)
      <S>                                                 <C>     <C>    <C>
      1997............................................... $ 1,153 $1,196 $ 2,349
      1998...............................................   1,153    487   1,640
      1999...............................................   1,153    358   1,511
      2000...............................................   1,317    196   1,513
      2001...............................................   1,371     64   1,435
      Thereafter.........................................  14,164     75  14,239
                                                          ------- ------ -------
        Total............................................ $20,311 $2,376 $22,687
                                                          ======= ====== =======
</TABLE>
 
  Rental expense for all operating leases, including leases with terms of less
than one year, is as follows.
 
<TABLE>
<CAPTION>
                                                           YEARS ENDED DECEMBER
                                                                   31,
                                                           --------------------
                                                            1996   1995   1994
                                                           ------ ------ ------
                                                              (IN THOUSANDS)
      <S>                                                  <C>    <C>    <C>
      Non-Affiliate Operating Leases...................... $1,736 $1,200 $2,007
      Operating Lease with Sonat..........................  1,318  1,246  1,148
                                                           ------ ------ ------
                                                           $3,054 $2,446 $3,155
                                                           ====== ====== ======
</TABLE>
 
  Purchase and Conversion of Drilling Rigs--At December 31, 1996, the Company
had firm commitments related to the construction and conversion of the
Transocean Marianas, Discoverer Enterprise and the Transocean Amirante (see
Note 5) totaling $4.1 million, $105.4 million and $11.5 million, respectively.
The Company has also entered into a bareboat charter agreement with GNPC for
the Discoverer 511 (see Note 5) and guaranteed a minimum charter hire of $8.8
million over two years. The Company has entered into agreements with various
suppliers to purchase $44.8 million in materials to upgrade the other rigs in
the fleet. Delivery of these materials is expected in 1997.
 
  Contingency Payment--In connection with the acquisition of the Polar Pioneer
(see Note 5), the agreement with Wilhelmsen provides for payment of a
conditional purchase price adjustment (up to $3.1 million), in the event the
current client exercises the second of a series of contract extension options
or a new contract is signed for an increased dayrate for the Polar Pioneer.
This contingent consideration is expected to be calculated and paid in the
third or fourth quarter of 1997.
 
  Legal Proceedings--In 1990 and 1991, two of the Company's subsidiaries were
served with assessments totaling $11.0 million from the municipality of Rio de
Janeiro, Brazil to collect a municipal tax on services ("ISS"). The Company
believes that neither subsidiary is liable for the taxes and plans to continue
to contest the assessments in the Brazilian administrative and court system,
as necessary. In any event, the Company believes that the Brazilian
government-controlled oil company, Petrobras, has a contractual obligation to
reimburse the Company for ISS payments that may be required. Accordingly, the
Company believes that the outcome of these assessments will not materially
impact the financial position or operational results of the Company.
 
                                      43
<PAGE>
 
                   TRANSOCEAN OFFSHORE INC. AND SUBSIDIARIES
 
            NOTES TO CONSOLIDATED FINANCIAL STATEMENTS--(CONTINUED)
 
  Other--The Company has other contingent liabilities resulting from
litigation, claims and commitments incidental to the ordinary course of
business. Management believes that the probable resolution of such
contingencies will not materially affect the financial position or results of
operations of the Company.
 
NOTE 13--CAPITAL STOCK
 
  The Company's common stock trades on the New York Stock Exchange and the
Oslo Stock Exchange under the symbol "RIG". Per share prices of the Company's
common stock, based on the New York Stock Exchange listing of composite
transactions, and dividends paid per common share are summarized below.
 
<TABLE>
<CAPTION>
                                                           QUARTER
                                               --------------------------------
                                                    1996             1995
                                               --------------- ----------------
                                                         (UNAUDITED)
      <S>                                      <C>             <C>
      Price Range High-Low
        First................................. $  53  - 41 1/8 $23 1/4 - 17 3/4
        Second................................    59  - 46 1/2  33 3/8 - 22 3/4
        Third................................. 61 3/4 - 48 7/8  35 5/8 - 27 3/4
        Fourth................................ 71 3/8 - 56 5/8     49  - 31 3/8
                                               --------------- ----------------
      Dividends Paid
        First................................. $          0.06 $           0.06
        Second................................            0.06             0.06
        Third.................................            0.06             0.06
        Fourth................................            0.06             0.06
                                               --------------- ----------------
      Approximate Shareholders of Record at
       Year-End...............................             240              140
                                               =============== ================
</TABLE>
 
  There are certain restrictions under the Credit Agreement and Notes
regarding the payment of dividends (see Note 6).
 
  Long-Term Incentive Plan (the "Incentive Plan")--In 1993 the Company adopted
an incentive plan for key employees and outside directors in which it is
authorized to grant up to 2,050,000 shares of common stock. In 1996, the
Incentive Plan was amended so that an additional 1,000,000 shares of common
stock were authorized for issuance. Under the plan, awards can be in the form
of stock options, restricted stock, stock appreciation rights (SARs) issued in
tandem with such options, and tax-offset supplemental payments in connection
with the exercise of options or SARs or the vesting of restricted stock. No
SARs have been issued since the adoption of the Incentive Plan. Options issued
under the Incentive Plan have a ten-year term and become exercisable in three
equal annual installments after the date of grant.
 
                                      44
<PAGE>
 
                   TRANSOCEAN OFFSHORE INC. AND SUBSIDIARIES
 
            NOTES TO CONSOLIDATED FINANCIAL STATEMENTS--(CONTINUED)
 
  The following table summarizes option activities of the Incentive Plan:
 
<TABLE>
<CAPTION>
                                                    NUMBER OF
                                                      SHARES    WEIGHTED-AVERAGE
                                                   UNDER OPTION  EXERCISE PRICE
                                                   ------------ ----------------
<S>                                                <C>          <C>
Outstanding at December 31, 1993..................    193,800        $22.00
Granted...........................................    759,300         17.64
Forfeited.........................................   (134,734)        18.10
                                                    ---------        ------
Outstanding at December 31, 1994..................    818,366         18.60
Granted...........................................    266,900         21.14
Exercised.........................................    (58,363)        20.11
Forfeited.........................................     (1,667)        19.53
                                                    ---------        ------
Outstanding at December 31, 1995..................  1,025,236         19.17
Granted...........................................    293,700         47.16
Exercised.........................................   (181,037)        19.24
Forfeited.........................................     (4,506)        19.69
                                                    ---------        ------
Outstanding at December 31, 1996..................  1,133,393        $26.41
                                                    =========        ======
Exercisable at December 31, 1994..................     66,799        $22.00
Exercisable at December 31, 1995..................    522,021         18.82
Exercisable at December 31, 1996..................    575,280         19.10
</TABLE>
 
  Included in the option table above were 8,000 options, 7,000 options and
8,000 options granted to directors in 1996, 1995 and 1994, respectively, for
which the Company has recognized the expense under the variable option
provision of APB 25.
 
  The following table summarizes information about stock options outstanding at
December 31, 1996:
 
<TABLE>
<CAPTION>
                             WEIGHTED-AVERAGE
   RANGE OF        NUMBER       REMAINING     WEIGHTED-AVERAGE   NUMBER    WEIGHTED-AVERAGE
EXERCISE PRICES  OUTSTANDING CONTRACTUAL LIFE  EXERCISE PRICE  EXERCISABLE  EXERCISE PRICE
- ---------------  ----------- ---------------- ---------------- ----------- ----------------
<S>              <C>         <C>              <C>              <C>         <C>
$16.75 - $27.00    839,693      1.6 years          $19.16        573,280        $18.97
$46.88 - $57.63    293,700      3.2 years          $47.16          2,000        $57.63
</TABLE>
 
  The following table summarizes restricted stock activities of the Incentive
Plan:
 
<TABLE>
<CAPTION>
                                                                NUMBER OF SHARES
                                                                       OF
                                                                RESTRICTED STOCK
                                                                ----------------
<S>                                                             <C>
Outstanding at December 31, 1993...............................      93,635
Granted at a fair value of $18.27 per share....................      93,592
Vested.........................................................     (24,216)
Forfeited......................................................     (20,419)
                                                                    -------
Outstanding at December 31, 1994...............................     142,592
Granted at a fair value of $20.94 per share....................      26,170
Vested.........................................................     (88,592)
                                                                    -------
Outstanding at December 31, 1995...............................      80,170
Granted at a fair value of $46.89 per share....................      28,600
Vested.........................................................        (833)
                                                                    -------
Outstanding at December 31, 1996...............................     107,937
                                                                    =======
</TABLE>
 
                                       45
<PAGE>
 
                   TRANSOCEAN OFFSHORE INC. AND SUBSIDIARIES
 
            NOTES TO CONSOLIDATED FINANCIAL STATEMENTS--(CONTINUED)
 
  Included in the number of restricted shares vested are 245 shares, 31,111
shares and 5,477 shares in 1996, 1995 and 1994, respectively, that were
canceled to satisfy withholding tax requirements.
 
  Expenses related to options and restricted stock recognized during the years
ended 1996, 1995 and 1994 were $1.2 million, $2.1 million and $0.6 million,
respectively. If compensation expense for stock options granted under the
Incentive Plan during 1996 and 1995 was recognized using the alternative fair
value method of accounting under SFAS No. 123, the effect on 1996 and 1995 net
income and earnings per share would have been immaterial. At December 31, 1996
there were 1,435,210 shares available for future grants.
 
NOTE 14--RETIREMENT PLANS AND OTHER POSTEMPLOYMENT BENEFITS
 
  Retirement Plans--The Company has a qualified defined benefit pension plan
(the "Retirement Plan") which covers substantially all domestic employees of
the Company. The Company has also adopted a plan (the "Supplemental Benefit
Plan") to provide its eligible participants with benefits in excess of those
allowed under the Retirement Plan (together the "Domestic Plans"). Annual
retirement benefits under the Retirement Plan are based on a combination of
years of service and compensation. The Company determines the amount of
funding to the Retirement Plan on a year-to-year basis, with amounts
consistent with minimum and maximum funding requirements established by
various governmental bodies.
 
  As a result of the Combination, the Company has assumed the assets and
obligations of various retirement plans of Transocean ASA and its subsidiaries
(the "Foreign Plans"). These include several defined benefit plans, primarily
group pension schemes with life insurance companies. These plans apply to a
majority of Transocean ASA's onshore and offshore personnel. Benefits are
based on compensation once eligibility is reached. Certain of the pension
schemes are financed in part by contributions from employees. Company
contributions are determined primarily by the respective life insurance
companies based upon plan terms. In addition to pension obligations covered
through the insurance schemes, Transocean ASA has pension obligations to
several employees and former employees, which are financed directly from
operations. Employer's social security tax is included in the obligation for
unfunded schemes. For insurance-based schemes, annual premium payments are
considered to represent a reasonable approximation of the service costs of
benefits earned during the period, and the amounts owed for the employer's
portion of the social security tax are expensed in the period of payment. The
results of the Foreign Plans are included from September 1, 1996.
 
  The components of net pension expense (income) follow:
 
<TABLE>
<CAPTION>
                                                     YEARS ENDED DECEMBER 31,
                                                     --------------------------
                                                      1996      1995     1994
                                                     -------  --------  -------
                                                          (IN THOUSANDS)
<S>                                                  <C>      <C>       <C>
Service Cost--Benefits Earned During the Period..... $ 3,791  $  1,162  $ 1,474
Interest Cost on Projected Benefit Obligation.......   4,843     3,284    3,228
(Gain) Loss on Assets--Actual.......................  (9,062)  (14,811)   1,325
Net Amortization and Deferral.......................     880     8,380   (7,647)
Employee Contributions..............................    (316)       --       --
                                                     -------  --------  -------
                                                     $   136  $ (1,985) $(1,620)
                                                     =======  ========  =======
</TABLE>
 
                                      46
<PAGE>
 
                   TRANSOCEAN OFFSHORE INC. AND SUBSIDIARIES
 
            NOTES TO CONSOLIDATED FINANCIAL STATEMENTS--(CONTINUED)
 
  The funded status of the plans follow:
 
<TABLE>
<CAPTION>
                                               PLAN WITH
                                              OBLIGATIONS        PLAN WITH
                                               LESS THAN       OBLIGATIONS IN
                                                ASSETS        EXCESS OF ASSETS
                                            ----------------  -----------------
                                             DECEMBER 31,       DECEMBER 31,
                                            ----------------  -----------------
                                             1996     1995      1996     1995
                                            -------  -------  --------  -------
                                                     (IN THOUSANDS)
<S>                                         <C>      <C>      <C>       <C>
Actuarial Present Value of Benefit
 Obligations
  Vested Benefit Obligations..............  $56,715  $42,215  $ 17,708  $   188
  Non-vested Benefit Obligations..........    1,286    1,116     2,242      103
                                            -------  -------  --------  -------
Accumulated Benefit Obligations...........   58,001   43,331    19,950      291
Effect of Projected Future Salary
 Increases................................    7,146    4,191    10,341      421
                                            -------  -------  --------  -------
Projected Benefit Obligations.............   65,147   47,522    30,291      712
Plan Assets at Fair Value (a).............   92,679   63,926    19,201       --
                                            -------  -------  --------  -------
Projected Benefit Obligations Less Than or
 (In Excess of) Plan Assets...............   27,532   16,404   (11,090)    (712)
Unrecognized Net (Assets) or Obligations
 at Transition (b)........................    1,278   (8,303)     (928)      34
Unrecognized Net (Gain) Loss..............  (14,596)  (1,560)    1,610      343
Unrecognized Prior Service Cost...........     (958)  (1,700)     (526)    (712)
Other.....................................       --       11        --       --
                                            -------  -------  --------  -------
Net Pension Asset (Liability) Recognized
 in the Consolidated Balance Sheets.......  $13,256  $ 4,852  $(10,934) $(1,047)
                                            =======  =======  ========  =======
</TABLE>
- --------
(a) Plan assets of Domestic Plans consist of equity securities, commingled
    funds and debt securities. Plan assets of Foreign Plans are managed by the
    insurance companies and are principally invested in fixed income
    securities, marketable equity securities and real estate.
(b) Amortization periods for unrecognized net (asset) or obligation are 16.5
    years for the Retirement Plan, 15 years for the Supplemental Plan and
    range from 15 to 29 years for the Foreign Plans.
 
  The assumed rates used to measure the projected benefit obligations and the
expected earnings of plan assets follow:
 
<TABLE>
<CAPTION>
                                                                YEARS ENDED
                                                                DECEMBER 31,
                                                               ----------------
                                                               1996  1995  1994
                                                               ----  ----  ----
      <S>                                                      <C>   <C>   <C>
      Weighted Average Discount Rate:
        Domestic Plans........................................ 7.25% 7.0%  8.0%
        Foreign Plans.........................................  7.0%  --    --
      Long-Term Rate of Return:
        Domestic Plans........................................  9.0% 9.0%  9.0%
        Foreign Plans.........................................  8.0%  --    --
      Increase in Future Compensation Levels:
        Domestic Plans........................................  5.5% 5.5%  5.5%
        Foreign Plans.........................................  3.5%  --    --
</TABLE>
 
  The Company sponsors defined contribution pension plans covering senior non-
American field employees working outside the United States. Contributions and
costs are determined as 4.5 percent to 6.5 percent of each covered employee's
salary, based on years of service. The Company also sponsors a defined
contribution savings plan covering U.S. employees. Contributions by the
Company are limited to no more than 4.5 percent of each
 
                                      47
<PAGE>
 
                   TRANSOCEAN OFFSHORE INC. AND SUBSIDIARIES
 
            NOTES TO CONSOLIDATED FINANCIAL STATEMENTS--(CONTINUED)
covered employee's salary, based on the employee's contribution. As a result of
the Combination, the Company also assumed various defined contribution plans of
Transocean ASA and its subsidiaries. Costs of these plans have been included
from September 1, 1996. Costs for the Company's defined contribution plans were
$3.5 million in 1996 and $1.7 million each in 1995 and 1994.
 
  Postretirement Benefits Other than Pensions--The Company provides non-
contractual limited health care and life insurance benefits to domestic office
employees and certain other domestic field employees when they retire from the
Company.
 
  The components of net benefit cost for postretirement benefits other than
pensions follow:
 
<TABLE>
<CAPTION>
                                                               YEARS ENDED
                                                               DECEMBER 31,
                                                             ------------------
                                                             1996  1995   1994
                                                             ----  ----  ------
                                                              (IN THOUSANDS)
      <S>                                                    <C>   <C>   <C>
      Service Cost.......................................... $250  $178  $  206
      Interest Cost.........................................  764   744     858
      Return on Plan Assets--Actual.........................  (82)  (82)    (70)
      Net Amortization and Deferral.........................  (17) (218)      6
                                                             ----  ----  ------
      Net Annual Benefit Cost............................... $915  $622  $1,000
                                                             ====  ====  ======
</TABLE>
 
  The following table sets forth the funded status for the Company's
postretirement benefit plans.
 
<TABLE>
<CAPTION>
                                                                  DECEMBER 31,
                                                                 ---------------
                                                                  1996    1995
                                                                 ------- -------
                                                                 (IN THOUSANDS)
     <S>                                                         <C>     <C>
     Accumulated Postretirement Benefit Obligation
       Retirees................................................  $ 7,668 $ 7,876
       Fully eligible active plan participants.................      506     469
       Other active plan participants..........................    2,952   2,710
                                                                 ------- -------
                                                                  11,126  11,055
     Plan Assets at Fair Value (a).............................    1,149   1,170
                                                                 ------- -------
     Accumulated Postretirement Benefit Obligation in Excess of
      Plan Assets..............................................    9,977   9,885
     Unrecognized Prior Service Cost...........................       37      42
     Unrecognized Net Gain.....................................    1,757   1,310
                                                                 ------- -------
     Net Benefit Liability Recognized in the Consolidated
      Balance Sheet............................................  $11,771 $11,237
                                                                 ======= =======
</TABLE>
- --------
(a) Plan assets are held in a life insurance reserve account and consist of
    fixed income securities. The Company does not intend to fund its
    postretirement benefit plans in the future.
 
  The assumptions used to measure the projected benefit obligation and the
expected earnings of plan assets follow:
 
<TABLE>
<CAPTION>
                                                                 DECEMBER 31,
                                                                ----------------
                                                                1996  1995  1994
                                                                ----  ----  ----
      <S>                                                       <C>   <C>   <C>
      Discount Rate............................................ 7.25% 7.0%  8.0%
      Return on Assets (a).....................................  7.0% 7.0%  7.0%
      Salary Increase (b)......................................  5.5% 5.5%  5.5%
</TABLE>
- --------
(a) After-tax for life insurance benefit assets.
(b) For life insurance benefits.
 
                                       48
<PAGE>
 
                   TRANSOCEAN OFFSHORE INC. AND SUBSIDIARIES
 
            NOTES TO CONSOLIDATED FINANCIAL STATEMENTS--(CONTINUED)
 
  The rate of increase in the per capita costs of covered health care benefits
is assumed to be 10.2 percent in 1997, decreasing gradually to 6.0 percent by
the year 2003. Increasing the assumed health care cost trend rate by one
percentage point would increase the accumulated postretirement benefit
obligation as of January 1, 1997 by $695,000 and increase estimated net
periodic postretirement benefit cost by $55,000.
 
NOTE 15--RELATED PARTY TRANSACTIONS
 
  The Company has a tax sharing agreement with Sonat relating to all periods
prior to the initial public offering (see Note 11). Resulting from this
agreement, Other Income (Expense), Net for 1996 included $1.0 million of net
interest income relating to the settlement by Sonat of its consolidated U.S.
federal income taxes for the years 1983 through 1985. The Company received
cash of $1.0 million from Sonat as a result of the settlement. In 1995, the
Company included $1.8 million of net interest income in Other Income
(Expense), Net for a tax settlement relating to the years 1986 through 1988.
The Company received cash of $7.0 million in 1995 relating to the settlement.
 
  In addition to rent (see Note 12), a portion of general and administrative
expenses resulted from charges to the Company by Sonat. Amounts for these
services were $0.6 million for 1996 and $0.5 million for each of 1995 and
1994. In the opinion of management, the Company was charged for all costs
incurred on its behalf by Sonat under a comprehensive and reasonable cost
allocation method.
 
NOTE 16--INVESTMENTS IN AND ADVANCES TO JOINT VENTURES
 
  The Company holds a 24.89 percent interest in Arcade Drilling as ("Arcade"),
a Norwegian offshore drilling company. Arcade owns two fourth-generation
semisubmersible rigs, the Henry Goodrich and the Paul B. Loyd, Jr. At December
31, 1996, the Company's net investment in Arcade was $33.9 million. The
Company's cumulative equity in earnings of Arcade through December 31, 1996
was $2.0 million.
 
  In December 1990 the Company contributed the Henry Goodrich to Arcade. The
Company received $70.0 million in cash and common stock representing a 21.75
percent interest in Arcade. This sale resulted in a pre-tax gain of $28.8
million of which $18.8 million was recognized as other income in 1990. The
remaining $10.0 million of the gain was deferred and is being amortized to
income over the remaining depreciable life of the Henry Goodrich. The deferred
income has been offset against the Company's investment in Arcade. The net
unamortized balance of the deferred gain was $7.0 million at December 31,
1996.
 
  The Company had agreements to manage the two rigs owned by Arcade for an
initial period of five years (the "Management Agreements"). Under the
Management Agreements, the Company provided marketing, operating and technical
services and home office support for the rigs. The Management Agreement for
the Paul B. Loyd, Jr. expired in December 1995 and the rig is now managed by
the majority owner of Arcade. Income from management fees was $1.3 million in
1995 and $1.1 million in 1994.
 
  In connection with a drilling contract with Shell Exploration and Production
UK Limited ("Shell") for the use of the Henry Goodrich, Arcade chartered the
rig to the Company. The contract with Shell expired in October 1996 and the
rig is now managed by the majority owner of Arcade. The Company recognized
operating income of $1.0 million in 1996 and $1.4 million per year in 1995 and
1994 from its operation under this charter. The Company will continue to
provide Drilling Services on the Henry Goodrich for the current client through
1998.
 
                                      49
<PAGE>
 
                   TRANSOCEAN OFFSHORE INC. AND SUBSIDIARIES
 
            NOTES TO CONSOLIDATED FINANCIAL STATEMENTS--(CONTINUED)
 
NOTE 17--SEGMENTS, GEOGRAPHICAL ANALYSIS AND MAJOR CUSTOMERS
 
  Comparative data relating to the Company's operating revenues, operating
income and identifiable assets by segment and geographic area follows. The
operating results of Transocean ASA are included from September 1, 1996.
Operating revenues and operating income from Drilling Services include (i)
integrated drilling services previously included in Mobile Units, (ii)
platform drilling and well intervention and (iii) oil services engineering and
construction. Prior period amounts have been reclassified to conform with the
current presentation.
 
<TABLE>
<CAPTION>
                                                          DECEMBER 31,
                                                   ----------------------------
                                                     1996      1995      1994
                                                   --------  --------  --------
                                                         (IN THOUSANDS)
<S>                                                <C>       <C>       <C>
OPERATING REVENUES
Mobile Units
  U.S. Gulf of Mexico............................. $141,210  $ 95,771  $ 79,511
  North Sea and Europe............................  179,865    88,885    74,742
  Other Western Hemisphere........................   29,193    24,365    21,207
  Other Eastern Hemisphere........................   31,035    29,894    29,958
                                                   --------  --------  --------
                                                    381,303   238,915   205,418
                                                   --------  --------  --------
Turnkey Operations
  U.S. Gulf of Mexico.............................   27,222    20,230     3,726
  Other Western Hemisphere........................   26,031    36,711    23,438
  Other Eastern Hemisphere........................    5,855     4,300        --
                                                   --------  --------  --------
                                                     59,108    61,241    27,164
                                                   --------  --------  --------
Drilling Services
  U.S. Gulf of Mexico.............................   10,345    13,065    10,814
  North Sea and Europe............................   61,723    10,914     8,563
  Other Western Hemisphere........................    5,089        --        --
  Other Eastern Hemisphere........................   11,565       676        --
                                                   --------  --------  --------
                                                     88,722    24,655    19,377
                                                   --------  --------  --------
Intersegment Eliminations (a).....................     (230)   (2,153)   (9,006)
                                                   --------  --------  --------
Total Operating Revenues.......................... $528,903  $322,658  $242,953
                                                   ========  ========  ========
</TABLE>
- --------
(a) Intersegment eliminations reflect the elimination of operating revenues
    earned when one of the Company's business segments provides services to
    another of the Company's business segments.
 
                                      50
<PAGE>
 
                   TRANSOCEAN OFFSHORE INC. AND SUBSIDIARIES
 
            NOTES TO CONSOLIDATED FINANCIAL STATEMENTS--(CONTINUED)
 
<TABLE>
<CAPTION>
                                                   YEARS ENDED DECEMBER 31,
                                                 ------------------------------
                                                    1996       1995      1994
                                                 ----------  --------  --------
                                                        (IN THOUSANDS)
<S>                                              <C>         <C>       <C>
OPERATING INCOME (LOSS)
Mobile Units
  U.S. Gulf of Mexico........................... $   74,062  $ 28,709  $ 13,657
  North Sea and Europe..........................     32,317    20,032     6,181
  Other Western Hemisphere......................      5,981     3,908    (2,060)
  Other Eastern Hemisphere......................      4,952     8,290    10,425
  Other.........................................        367      (521)   (1,141)
                                                 ----------  --------  --------
                                                    117,679    60,418    27,062
                                                 ----------  --------  --------
Turnkey Operations
  U.S. Gulf of Mexico...........................     (3,306)    1,511       292
  Other Western Hemisphere......................      5,424     4,247     4,032
  Other Eastern Hemisphere......................        736       207         3
                                                 ----------  --------  --------
                                                      2,854     5,965     4,327
                                                 ----------  --------  --------
Drilling Services
  U.S. Gulf of Mexico...........................      2,951     3,969     4,022
  North Sea and Europe..........................      5,895     3,280     4,154
  Other Western Hemisphere......................        337        --        --
  Other Eastern Hemisphere......................      1,802       (46)       --
                                                 ----------  --------  --------
                                                     10,985     7,203     8,176
                                                 ----------  --------  --------
Corporate Expenses..............................    (23,904)  (21,498)  (18,668)
                                                 ----------  --------  --------
Operating Income................................ $  107,614  $ 52,088  $ 20,897
                                                 ==========  ========  ========
IDENTIFIABLE ASSETS
Mobile Units
  U.S. Gulf of Mexico........................... $  292,788  $176,684  $122,223
  North Sea and Europe..........................  1,640,691   134,776   201,734
  Other Western Hemisphere......................    129,786    22,112    21,649
  Other Eastern Hemisphere......................    119,338    27,192    34,844
                                                 ----------  --------  --------
                                                  2,182,603   360,764   380,450
                                                 ----------  --------  --------
Turnkey Operations
  U.S. Gulf of Mexico...........................      7,177     2,556     1,901
  Other Western Hemisphere......................      1,641     2,321     5,930
  Other Eastern Hemisphere......................         77     1,854        --
                                                 ----------  --------  --------
                                                      8,895     6,731     7,831
                                                 ----------  --------  --------
Drilling Services
  U.S. Gulf of Mexico...........................      1,631     2,150     2,243
  North Sea and Europe..........................    150,603     2,774       595
  Other Western Hemisphere......................      1,139        --        --
  Other Eastern Hemisphere......................        330        --        --
                                                 ----------  --------  --------
                                                    153,703     4,924     2,838
                                                 ----------  --------  --------
General Corporate...............................     62,405   137,954    72,131
                                                 ----------  --------  --------
Investment In and Advances To Joint Ventures....     35,608    31,891    30,247
                                                 ----------  --------  --------
Total Assets.................................... $2,443,214  $542,264  $493,497
                                                 ==========  ========  ========
</TABLE>
 
                                       51
<PAGE>
 
                   TRANSOCEAN OFFSHORE INC. AND SUBSIDIARIES
 
            NOTES TO CONSOLIDATED FINANCIAL STATEMENTS--(CONTINUED)
 
<TABLE>
<CAPTION>
                                                       YEARS ENDED DECEMBER 31,
                                                       ------------------------
                                                         1996    1995    1994
                                                       -------- ------- -------
                                                            (IN THOUSANDS)
<S>                                                    <C>      <C>     <C>
CAPITAL EXPENDITURES
  Mobile Units........................................ $196,129 $17,466 $57,142
  Turnkey Operations..................................        6      --     706
  Drilling Services...................................   10,808      --      --
  General Corporate...................................    6,016   1,439   1,373
                                                       -------- ------- -------
                                                       $212,959 $18,905 $59,221
                                                       -------- ------- -------
DEPRECIATION AND AMORTIZATION
  Mobile Units........................................ $ 42,636 $26,325 $23,942
  Turnkey Operations..................................      267     328     151
  Drilling Services...................................    2,760      52      16
  General Corporate...................................      924     290     397
                                                       -------- ------- -------
                                                       $ 46,587 $26,995 $24,506
                                                       -------- ------- -------
</TABLE>
 
  Operating income consists of operating revenues less operating expenses,
including depreciation and amortization, and does not include interest income,
other income (including gains on the disposal of rigs--see Note 4), interest
expense, income taxes and equity in earnings of joint ventures.
 
  A substantial portion of the Company's assets are mobile. Asset locations at
the end of the period are not necessarily indicative of the geographic
distribution of the earnings generated by such assets during the periods. The
Arcade joint venture operates in the North Sea and Europe. General Corporate
assets are principally cash and cash equivalents and other nonoperating
assets.
 
  The Company's foreign operations are geographically dispersed and are
therefore subject to certain political and other uncertainties not encountered
in domestic operations, including risks of war, expropriation of equipment,
renegotiation or modification of existing contracts, taxation policies, and
the general hazards associated with foreign sovereignty over certain areas in
which operations are conducted.
 
  The foreign assets include cash and cash equivalents of $21.4 million, $5.7
million and $4.5 million at December 31, 1996, 1995 and 1994, respectively.
 
                                      52
<PAGE>
 
                   TRANSOCEAN OFFSHORE INC. AND SUBSIDIARIES
 
            NOTES TO CONSOLIDATED FINANCIAL STATEMENTS--(CONTINUED)
 
  Revenues from the following major unaffiliated customers of the Company
exceeded 10% or more of operating revenues:
 
<TABLE>
<CAPTION>
                                                       YEARS ENDED DECEMBER 31,
                                                       ------------------------
                                                         1996    1995    1994
                                                       -------- ------- -------
                                                            (IN THOUSANDS)
<S>                                                    <C>      <C>     <C>
Royal Dutch Shell Group (a)........................... $146,769 $74,072 $81,377
Statoil (b)...........................................   67,968      --      --
Norsk Hydro (b).......................................   48,828  35,260  24,808
Petroleos Mexicanos (Pemex) (c).......................   31,062  36,712  23,437
Gulf of Suez Petroleum Company (d)....................   19,939  26,540  28,257
                                                       -------- ------- -------
</TABLE>
- --------
(a) Revenues earned by all business segments.
(b) Revenues earned by Mobile Units and Drilling Services.
(c) Revenues earned by Turnkey Operations and Drilling Services.
(d) Revenues earned by Mobile Units.
 
  The loss of significant customers could have a materially adverse effect on
the Company's results of operations.
 
NOTE 18--QUARTERLY RESULTS (UNAUDITED)
 
  Shown below are selected unaudited quarterly data.
 
<TABLE>
<CAPTION>
                                                           QUARTER
                                              ----------------------------------
                                               FIRST   SECOND   THIRD    FOURTH
                                              ------- -------- -------- --------
                                               (IN THOUSANDS, EXCEPT PER SHARE
                                                           AMOUNTS)
<S>                                           <C>     <C>      <C>      <C>
1996(A)
  Operating Revenues......................... $81,220 $108,881 $136,926 $201,876
  Operating Income (b).......................  13,951   30,234   32,601   30,828
  Net Income (b).............................  11,825   25,477   21,543   19,200
  Net Income Per Share (b)................... $  0.42 $   0.89 $   0.61 $   0.37
  Weighted-average number of shares..........  28,435   28,474   35,210   51,489
1995
  Operating Revenues......................... $70,726 $ 85,510 $ 83,284 $ 83,138
  Operating Income...........................  10,708   11,913   14,357   15,110
  Net Income.................................   7,276    8,190   20,381   11,101
  Net Income Per Share....................... $  0.26 $   0.29 $   0.72 $   0.39
  Weighted-average number of shares..........  28,372   28,385   28,363   28,373
</TABLE>
- --------
(a) Includes the operating results of Transocean ASA since September 1, 1996,
    the effective date of the Combination for accounting purposes.
(b) Fourth quarter 1996 included losses from Turnkey Operations of $4.7
    million before income taxes. The effect of these losses on net income and
    earnings per share was $3.0 million and $0.06, respectively.
 
NOTE 19--SUBSEQUENT EVENT
 
  On March 13, 1997, the Board of Directors authorized the registration on
Form S-3 of a $750 million shelf offering of debt securities, preferred stock,
common stock and warrants to purchase preferred stock or other debt
securities.
 
                                      53
<PAGE>
 
ITEM 9. CHANGES IN AND DISAGREEMENTS WITH ACCOUNTANTS ON ACCOUNTING AND
FINANCIAL DISCLOSURE
 
  The Company has not had a change in or disagreement with its accountants
within twenty-four months prior to the date of its most recent financial
statements or in any period subsequent to such date.
 
                                       54
<PAGE>
 
                                   PART III
 
ITEM 10. DIRECTORS AND EXECUTIVE OFFICERS OF THE REGISTRANT
 
ITEM 11. EXECUTIVE COMPENSATION
 
ITEM 12. SECURITY OWNERSHIP OF CERTAIN BENEFICIAL OWNERS AND MANAGEMENT
 
ITEM 13. CERTAIN RELATIONSHIPS AND RELATED TRANSACTIONS
 
  The information required by Items 10, 11, 12 and 13 is incorporated herein
by reference to the Company's definitive proxy statement for its annual
meeting of stockholders to be held May 8, 1997, which will be filed with the
Securities and Exchange Commission pursuant to Regulation 14A under the
Securities Exchange Act of 1934 within 120 days of December 31, 1996. Certain
information with respect to the executive officers of the Company is set forth
in Item 4 of this annual report under the caption "Executive Officers of the
Registrant."
 
                                      55
<PAGE>
 
                                    PART IV
 
ITEM 14. EXHIBITS, FINANCIAL STATEMENT SCHEDULES AND REPORTS ON FORM 8-K
 
 (a) Index to Financial Statements, Financial Statement Schedules and Exhibits
 
  (1) Financial Statements
 
<TABLE>
<CAPTION>
                                                                            PAGE
                                                                            ----
      <S>                                                                   <C>
      Included in Part II of this report:
        Report of Independent Auditors.....................................  26
        Consolidated Statement of Operations...............................  27
        Consolidated Balance Sheets........................................  28
        Consolidated Statements of Shareholders' Equity....................  29
        Consolidated Statements of Cash Flows..............................  30
        Notes to Consolidated Financial Statements.........................  31
</TABLE>
 
  Financial statements of 50 percent or less owned joint ventures are not
presented herein because such joint ventures do not meet the significance test.
 
  (2) Financial Statement Schedules
 
  Schedules are omitted either because they are not required or are not
applicable, or because the required information is included in the financial
statements or notes thereto.
 
  (3) Exhibits
 
  The following exhibits are filed in connection with this Report:
 
<TABLE>
<CAPTION>
 NUMBER                                DESCRIPTION
 ------                                -----------
 <C>      <S>
   2-(1)  Drilling Purchase and Sale Agreement dated August 14, 1995 among
          Sonat Offshore Drilling Inc., Sonat Offshore Ventures Inc., and
          Falcon Drilling Company, Inc. (filed as Exhibit 2.1 to the Company's
          Form 8-K dated September 15, 1995)
   2-(2)  Sales Agreement Amendment dated September 21, 1995 among Sonat
          Offshore Drilling Inc., Sonat Offshore Ventures Inc., Falcon Drilling
          Company, Inc. and FALRIG Offshore, Inc. (filed as Exhibit 2.2 to the
          Company's Form 8-K dated September 15, 1995)
   3-(1)  Restated Certificate of Incorporation of the Company, including
          amendments dated September 3, 1996 (filed as Exhibit 4(a) to the
          Company's Registration Statement on Form S-8 Registration No. 333-
          12475 dated September 20, 1996)
   3-(2)  Amendment dated September 3, 1996 to Restated Certificate of
          Incorporation of the Company to change the Company's name (filed as
          Exhibit 4(b) to the Company's Registration Statement on Form S-8
          Registration No. 333-12475 dated September 20, 1996)
   3-(3)  Amendment dated September 3, 1996 to Restated Certificate of
          Incorporation of the Company to increase authorized shares of common
          stock (filed as Exhibit 4(c) to the Company's Registration Statement
          on Form S-8 Registration No. 333-12475 dated September 20, 1996)
   3-(4)  By-Laws of the Company (filed as Exhibit 3-(2) to the Company's Form
          10-K for the year ending December 31, 1993)
  +4-(1)  Secured Credit Agreement dated as of January 17, 1997 among
          Transocean Enterprise Inc., the Lenders party thereto, ABN Amro Bank,
          as Agent, and the Co-Agents listed therein
   4-(2)  Secured Credit Agreement dated as of July 30, 1996 among Sonat
          Offshore Drilling Inc., the Lenders party thereto, ABN Amro Bank, as
          Agent, and the Co-Agents listed therein (filed as Exhibit 10-(1) to
          the Company's Form 10-Q for the quarter ending June 30, 1996)
</TABLE>
 
 
                                       56
<PAGE>
 
<TABLE>
<CAPTION>
 NUMBER                                 DESCRIPTION
 ------                                 -----------
 <C>       <S>
   10-(1)  Amended and Restated Credit Agreement dated as of December 28, 1995
           among Sonat Offshore Drilling Inc., the Lenders listed therein and
           SunTrust Bank as Agent and ABN Amro Bank, as Co-Agent (filed as
           Exhibit 10-(1) to the Company's Form 10-K for the year ending
           December 31, 1995)
   10-(2)  Transition Agreement between Sonat Inc. and Sonat Offshore Drilling
           Inc. dated June 3, 1993 (filed as Exhibit 10-(2) to the Company's
           Form 10-Q for the quarter ending June 30, 1993)
   10-(3)  Tax Sharing Agreement between Sonat Inc. and Sonat Offshore Drilling
           Inc. dated June 3, 1993 (filed as Exhibit 10-(3) to the Company's
           Form 10-Q for the quarter ending June 30, 1993)
  *10-(4)  Performance Award and Cash Bonus Plan of Sonat Offshore Drilling
           Inc. (filed as Exhibit 10-(5) to the Company's Form 10-Q for quarter
           ending June 30, 1993)
  *10-(5)  Long-Term Incentive Plan of Sonat Offshore Drilling Inc. (filed as
           Exhibit 10-(1) to the Company's Form 10-Q for the quarter ending
           March 31, 1996)
  *10-(6)  Form of Sonat Offshore Drilling Inc. Executive Life Insurance
           program Split Dollar Agreement and Collateral Assignment Agreement
           with schedule identifying the persons participating in Program
           (filed as Exhibit 10-(9) to the Company's Form 10-K for the year
           ending December 31, 1993)
   10-(7)  Purchase Agreement dated as of April 1, 1987 among Sonat Offshore
           Drilling Inc., Sonat Offshore Ventures Inc., Dixilyn-Field Drilling
           Company and Panhandle Eastern Corporation (filed as Exhibit 10-(9)
           to the Company's Form S-1 Registration No. 33-60992 dated April 13,
           1993)
   10-(8)  Agreement dated as of June 14, 1995, among Sonat Offshore Ventures
           Inc., Sonat Offshore Drilling Inc., Dixilyn-Field Drilling Company
           and Panhandle Eastern Corporation (filed as Exhibit 10-(8) to the
           Company's Form 10-K for the year ending December 31, 1995)
   10-(9)  Letter Agreement dated August 31, 1991 among Sonat Offshore Drilling
           Inc., Arcade Shipping as and Reading and Bates Corporation (filed as
           Exhibit 10-(12) to the Company's Form S-1 Registration No. 33-60992
           dated April 13, 1993)
   10-(10) Master Agreement dated December 17, 1993 among Sonat Offshore Norway
           Inc. and Wilhelmsen Offshore Norway as and NNDC Polar as (filed as
           Exhibit 2-(1) to the Company's Form 8-K dated February 18, 1994)
   10-(11) Wilhelmsen Drilling Rig Sales Agreement dated December 17, 1993
           between Sonat Offshore Norway Inc. and Wilhelmsen Offshore Norway as
           (filed as Exhibit 2-(2) to the Company's Form 8-K dated February 18,
           1994)
   10-(12) NNDCP Drilling Rig Sales Agreement dated December 17, 1993 between
           Sonat Offshore Norway Inc. and NNDC Polar as (filed as Exhibit 2-(3)
           to the Company's Form 8-K dated February 18, 1994)
   10-(13) Vessel Modification and Sales Agreement for the Multi-service Semi-
           submersible Vessel (MSV) P.Portia dated February 29, 1996, between
           Sonat Offshore Drilling Inc. and Hiwind Investments Ltd. (filed as
           Exhibit 10-(16) to the Company's Form 10-K for the year ending
           December 31, 1995)
   10-(14) Representation and Guarantee Agreement between Sonat Offshore
           Drilling Inc. and Exploration and Production Services (Holdings)
           Limited dated September 30, 1994 (filed as Exhibit 10-(24) to the
           Company's Form 10-Q for the quarter ending September 30, 1994)
</TABLE>
 
 
                                       57
<PAGE>
 
<TABLE>
<CAPTION>
 NUMBER                                 DESCRIPTION
 ------                                 -----------
 <C>        <S>
  *10-(15)  Employment Agreements between J. Michael Talbert, W. Dennis
            Heagney, Robert L. Long, Jon C. Cole, G. Austin King, Donald R.
            Ray, Eric B. Brown and Barbara S. Koucouthakis, individually, and
            Transocean Offshore Inc. dated December 6, 1995 (filed as Exhibit
            10-(18) to the Company's Form 10-K for the year ending December 31,
            1995)
 *+10-(16)  Employment Agreement dated December 14, 1990, Early Retirement
            Agreement dated June 19, 1992 and Supplemental Pension Agreement
            dated June 19, 1992, each as amended, between Transocean ASA and
            Reidar Lund
 *+10-(17)  Letter Agreement dated February 20, 1997 between Transocean
            Offshore Inc. and Reidar Lund
  +21-(1)   Subsidiaries of the Company
  +23-(1)   Consent of Ernst & Young LLP
  +24-(1)   Powers of Attorney
  +27-(1)   Financial Data Schedule
</TABLE>
- --------
* Compensatory plan or arrangement.
+ Filed herewith.
 
  Exhibits listed above as previously having been filed with the Securities
and Exchange Commission are incorporated herein by reference pursuant to Rule
12b-32 under the Securities Exchange Act of 1934 and made a part hereof with
the same effect as if filed herewith.
 
  Certain instruments relating to long-term debt of the Company and its
subsidiaries have not been filed as exhibits since the total amount of
securities authorized under any such instrument does not exceed 10 percent of
the total assets of the Company and its subsidiaries on a consolidated basis.
The Company agrees to furnish a copy of each such instrument to the Commission
upon request.
 
(b) Reports on Form 8-K
 
  There were no reports on Form 8-K filed during the quarter ending December
31, 1996.
 
                                      58
<PAGE>
 
                                  SIGNATURES
 
  PURSUANT TO THE REQUIREMENTS OF SECTION 13 OR 15(D) OF THE SECURITIES
EXCHANGE ACT OF 1934, THE REGISTRANT HAS DULY CAUSED THIS REPORT TO BE SIGNED
ON ITS BEHALF BY THE UNDERSIGNED, THEREUNTO DULY AUTHORIZED, ON MARCH 21, 1997.
 
                                          TRANSOCEAN OFFSHORE INC.
 
                                                   /s/  Robert L. Long
                                          By:__________________________________
                                                     Robert L. Long
                                                  Senior Vice President
 
  PURSUANT TO THE REQUIREMENTS OF THE SECURITIES EXCHANGE ACT OF 1934, THIS
REPORT HAS BEEN SIGNED BELOW BY THE FOLLOWING PERSONS ON BEHALF OF THE
REGISTRANT IN THE CAPACITIES INDICATED ON MARCH 21, 1997.
 
<TABLE>
<CAPTION>
             SIGNATURE                                     TITLE
             ---------                                     -----
 
<S>                                           <C>
       /s/ J. Michael Talbert                 Chairman of the Board and Chief Executive Officer
____________________________________                     (Principal Executive Officer)
         J. Michael Talbert
 
         /s/ Robert L. Long                    Senior Vice President and Chief Financial Officer
____________________________________                     (Principal Financial Officer)
           Robert L. Long
 
    /s/ Barbara S. Koucouthakis                    Vice President and Controller (Principal
____________________________________                          Accounting Officer)
      Barbara S. Koucouthakis
 
                 *                                                 Director
____________________________________
         Richard D. Kinder
 
                 *                                                 Director
____________________________________
        Ronald L. Kuehn, Jr.
 
                 *                                                 Director
____________________________________
         Robert J. Lanigan
 
                 *                                                 Director
____________________________________
           Max L. Lukens
 
                 *                                                 Director
____________________________________
         Martin B. McNamara
 
                 *                                                 Director
____________________________________
           Kristian Siem
 
                 *                                                 Director
____________________________________
         Fridtjof Lorentzen
 
                 *                                                 Director
____________________________________
            Reidar Lund
 
                 *                                                 Director
____________________________________
           Einar Kloster
 
*By:
         /s/ Eric B. Brown
____________________________________
           Eric B. Brown
          Attorney in Fact
</TABLE>

<PAGE>
 
                            SECURED CREDIT AGREEMENT



                                  DATED AS OF



                                JANUARY 17, 1997


                                     AMONG


                          TRANSOCEAN ENTERPRISE INC.,


                           THE LENDERS PARTY HERETO,

                                      AND

                      ABN AMRO BANK N.V., HOUSTON AGENCY,
                         AS AGENT AND COLLATERAL AGENT,

                                      AND

                AUSTRALIA AND NEW ZEALAND BANKING GROUP LIMITED,
                               BANK OF MONTREAL,
                    THE BANK OF NOVA SCOTIA, ATLANTA AGENCY,
           THE BANK OF TOKYO - MITSUBISHI, LTD., HOUSTON AGENCY, AND
                     WESTDEUTSCHE LANDESBANK GIROZENTRALE,
                                  AS CO-AGENTS
<PAGE>
 
                               TABLE OF CONTENTS
<TABLE>
<CAPTION>
                                                                                                PAGE
<S>                           <C>                                                                 <C>
 
SECTION 1.   DEFINITIONS; INTERPRETATION........................................................   1
     Section 1.1.             Definitions.......................................................   1
     Section 1.2.             Interpretation....................................................  19
 
SECTION 2.   THE CREDIT FACILITIES..............................................................  19
     Section 2.1.             Borrowings of Tranche A Loans.....................................  19
     Section 2.2.             Borrowings of Construction Loans..................................  19
     Section 2.3.             Conversion of Construction Loans into Term Loans..................  20
     Section 2.4.             Types of Loans and Minimum Borrowing Amounts......................  20
     Section 2.5.             Manner of Borrowing...............................................  20
     Section 2.6.             Interest Periods..................................................  22
     Section 2.7.             Maturity of Loans.................................................  23
     Section 2.8.             Applicable Interest Rates.........................................  26
     Section 2.9.             Default Rate......................................................  26
     Section 2.10.            Optional Prepayments..............................................  27
     Section 2.11.            Mandatory Prepayments of Loans....................................  29
     Section 2.12.            The Notes.........................................................  33
     Section 2.13.            Breakage Fees.....................................................  33
     Section 2.14.            Commitment Terminations...........................................  34
 
SECTION 3.   FEES AND PAYMENTS..................................................................  34
     Section 3.1.             Fees..............................................................  34
     Section 3.2.             Place and Application of Payments.................................  34
     Section 3.3.             Withholding Taxes                                                   35
 
SECTION 4.   CONDITIONS TO BORROWINGS...........................................................  37
     Section 4.1.             Conditions Precedent to Initial Borrowing.........................  37
     Section 4.2.             Conditions Precedent to Construction Loans........................  39
     Section 4.3.             Conditions Precedent to All Borrowings............................  39
     Section 4.4.             Conditions Precedent to Conversion of Construction Loans into Term
                              Loans.............................................................  40
 
SECTION 5.   REPRESENTATIONS AND WARRANTIES.....................................................  41
     Section 5.1.             Corporate Organization............................................  41
     Section 5.2.             Corporate Power and Authority; Validity...........................  41
     Section 5.3.             No Violation......................................................  41
     Section 5.4.             Litigation........................................................  42
     Section 5.5.             Use of Proceeds; Margin Regulations...............................  42
     Section 5.6.             Investment Company Act............................................  42
     Section 5.7.             Public Utility Holding Company Act................................  42
     Section 5.8.             True and Complete Disclosure......................................  42
     Section 5.9.             No Material Adverse Change........................................  43
     Section 5.10.            Labor Controversies...............................................  43
     Section 5.11.            Taxes.............................................................  43
     Section 5.12.            ERISA.............................................................  43
     Section 5.13.            Security Interests................................................  43
     Section 5.14.            Consents..........................................................  43
 
</TABLE>

                                      -i-
<PAGE>
 
                               TABLE OF CONTENTS
                                  (CONTINUED)

<TABLE>
<CAPTION> 
                                                                                                PAGE
<S>                           <C>                                                                 <C>
     Section 5.15.            Intellectual Property.............................................  43
     Section 5.16.            Ownership of Property.............................................  44
     Section 5.17.            Compliance with Statutes, Etc.....................................  44
     Section 5.18.            Environmental Matters.............................................  44
     Section 5.19.            Existing Indebtedness.............................................  44
 
SECTION 6.   COVENANTS..........................................................................  44
     Section 6.1.             Corporate Existence...............................................  44
     Section 6.2.             Construction and Maintenance......................................  44
     Section 6.3.             Taxes.............................................................  46
     Section 6.4.             ERISA.............................................................  46
     Section 6.5.             Burdensome Restrictions, Etc......................................  46
     Section 6.6.             Insurance.........................................................  46
     Section 6.7.             Financial Reports and Other Information...........................  49
     Section 6.8.             Lender Inspection Rights..........................................  50
     Section 6.9.             Conduct of Business...............................................  51
     Section 6.10.            Interest Rate Protection..........................................  51
     Section 6.11.            Limitation on Dividends; Negative Pledges.........................  51
     Section 6.12.            Restrictions on Fundamental Changes...............................  52
     Section 6.13.            Cash Flow Reserve.................................................  52
     Section 6.14.            Liens.............................................................  53
     Section 6.15.            Indebtedness......................................................  54
     Section 6.16.            Use of Property and Facilities; Environmental Laws................  54
     Section 6.17.            Advances, Investments and Loans...................................  54
     Section 6.18.            Modifications of Corporate Documents and Contracts................  55
     Section 6.19.            Transfers of Assets...............................................  56
     Section 6.20.            Transactions with Affiliates......................................  57
     Section 6.21.            Compliance with Laws..............................................  57
     Section 6.22.            Progress Reports..................................................  57
     Section 6.23.            Bank Accounts.....................................................  57
     Section 6.24.            Notice of Change of Definitions...................................  57
 
SECTION 7.   EVENTS OF DEFAULT AND REMEDIES.....................................................  57
     Section 7.1.             Events of Default.................................................  57
     Section 7.2.             Non-Bankruptcy Defaults...........................................  60
     Section 7.3.             Bankruptcy Defaults...............................................  60
     Section 7.4.             Notice of Default.................................................  60
 
SECTION 8.   CHANGE IN CIRCUMSTANCES............................................................  60
     Section 8.1.             Change of Law.....................................................  60
     Section 8.2.             Unavailability of Deposits or Inability to Ascertain LIBOR Rate...  61
     Section 8.3.             Increased Cost and Reduced Return.................................  61
     Section 8.4.             Lending Offices...................................................  63
     Section 8.5.             Discretion of Lender as to Manner of Funding......................  63
     Section 8.6.             Substitution of Lender............................................  63
 
 
</TABLE>

                                     -ii-
<PAGE>
 
                               TABLE OF CONTENTS
                                  (CONTINUED)

<TABLE>
<CAPTION> 
                                                                                                PAGE
<S>                           <C>                                                                 <C>
SECTION 9.   THE AGENTS.........................................................................  64
     Section 9.1.             Appointment and Authorization of Agent, Co-Agents and Collateral
                              Agent.............................................................  64
     Section 9.2.             Rights and Powers.................................................  64
     Section 9.3.             Action by Agent, Co-Agents and Collateral Agent...................  64
     Section 9.4.             Consultation with Experts.........................................  64
     Section 9.5.             Indemnification Provisions; Credit Decision.......................  64
     Section 9.6.             Indemnity.........................................................  65
     Section 9.7.             Resignation of Agent and Successor Agent..........................  65
 
SECTION 10.  MISCELLANEOUS......................................................................  66
     Section 10.1.            No Waiver.........................................................  66
     Section 10.2.            Non-Business Day..................................................  66
     Section 10.3.            Documentary Taxes.................................................  66
     Section 10.4.            Survival of Representations.......................................  66
     Section 10.5.            Survival of Indemnities...........................................  66
     Section 10.6.            Setoff............................................................  67
     Section 10.7.            Notices...........................................................  67
     Section 10.8.            Counterparts......................................................  68
     Section 10.9.            Successors and Assigns............................................  68
     Section 10.10.           Sales and Transfers of Borrowings and Notes; Participations in
                              Borrowings and Notes..............................................  68
     Section 10.11.           Amendments, Waivers and Consents..................................  71
     Section 10.12.           Headings..........................................................  71
     Section 10.13.           Legal Fees, Other Costs and Indemnification.......................  71
     Section 10.14.           Governing Law; Submission to Jurisdiction; Waiver of Jury Trial...  73
     Section 10.15.           Confidentiality...................................................  74
     Section 10.16.           Effectiveness.....................................................  74
     Section 10.17.           Severability......................................................  74
     Section 10.18.           Change in Accounting Principles, Fiscal Year or Tax Laws..........  75
     Section 10.19.           Notice............................................................  75
     Section 10.20.           Officer's Certificates............................................  75
     Section 10.21.           Effect of Inclusion of Exceptions.................................  75
     Section 10.22.           Non-Recourse Obligation...........................................  75
     Section 10.23.           Amoco Quiet Enjoyment; Guarantor Replaced Parts...................  76
</TABLE>

                                     -iii-
<PAGE>
 
                               TABLE OF CONTENTS
                                  (CONTINUED)
<TABLE> 
<CAPTION> 

EXHIBITS
<S>             <C>  
    2.5   -      Form of Borrowing Request
    2.7   -      Sizing Methodology
    2.12A -      Form of Tranche A Note
    2.12B -      Form of Construction Note
    4.1A  -      Form of First Mortgage
    4.1B  -      Form of Security Agreement and Financing Statement
    4.1C  -      Form of Assignments of Amoco Contracts
    4.1D  -      Form of Assignments of Shipyard Construction Contracts
    4.1E  -      Form of Assignment of Bank Guarantees
    4.1F  -      Form of Assignments of O&M Contracts
    4.1G  -      Form of Assignments of Transocean Contracts
    4.1H  -      Form of Transocean Performance Guaranty
    4.1I  -      Form of Legal Opinion of Hughes Hubbard & Reed LLP
    4.1J  -      Form of Legal Opinion of General Counsel of Borrower and Guarantor
    4.1K  -      Form of Legal Opinion of Arosemena Noriega & Contreras
    4.1L  -      Form of Legal Opinion of Royston, Rayzor, Vickery & Williams LLP
    4.1M  -      Form of Amoco Comfort Letters
    4.1N  -      Form of O&M Contract
    4.1O  -      Form of Transocean Lease Agreements
    4.1P  -      Form of License Agreement
    4.1Q  -      Form of Collateral Agreement
    4.4   -      Form of Amoco Letter of Acceptance
   10.10  -      Form of Assignment Agreement
 
SCHEDULES

    2.7A  -      Example of Term Loan Repayment Schedule
    5.18  -      List of Environmental Claims
</TABLE> 

                                     -iv-
<PAGE>
 
     SECURED CREDIT AGREEMENT (the "Agreement"), dated as of January 17, 1997,
among Transocean Enterprise Inc. (the "Borrower"), a Delaware corporation, the
lenders from time to time parties hereto (each a "Lender" and collectively, the
"Lenders"), ABN AMRO Bank N.V. ("ABN AMRO"), a Netherlands chartered bank acting
through its Houston agency, as agent for the Lenders (in such capacity, the
"Agent") and as "Collateral Agent" as provided herein, Australia and New Zealand
Banking Group Limited, Bank of Montreal, The Bank of Nova Scotia, Atlanta
Agency, The Bank of Tokyo - Mitsubishi, Ltd., Houston Agency, and Westdeutsche
Landesbank Girozentrale, as co-Agents for the Lenders (in such capacity, the
"Co-Agents").

                                  WITNESSETH:

     WHEREAS, the Borrower desires to obtain commitments from each of the
Lenders to make loans to the Borrower; and

     WHEREAS, the Lenders are willing to extend such commitments to the Borrower
on the terms and subject to the conditions hereinafter set forth;

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

SECTION 1.  DEFINITIONS; INTERPRETATION.

     Section 1.1.  Definitions.  Unless otherwise defined herein, the following
terms shall have the following meanings, which meanings shall be equally
applicable to both the singular and plural form of such terms:

     "Acceptance" shall be deemed to have occurred with respect to each of the
Drillship and the Rig when Amoco has executed and delivered an Amoco Letter of
Acceptance for such vessel.

     "Acceptance Date"  means the date on which Acceptance is deemed to have
occurred with respect to each of the Drillship and the Rig.  The Acceptance Date
shall be no later than December 31, 1998.

     "Adjusted LIBOR" means, for any Borrowing of Eurodollar Loans, a rate per
annum determined in accordance with the following formula:

     Adjusted LIBOR  =                      LIBOR Rate
                                      ----------------------
                    1.00 - Eurodollar Reserve Percentage

     "Affiliate" means, for the Borrower, (i) any other Person that directly or
indirectly through one or more intermediaries controls, is under common control
with, or is controlled by, the Borrower, and (ii) any other Person owning
beneficially or controlling ten percent (10%) or more of the equity interests in
the Borrower.  As used in this definition, "control" means the power, directly
or indirectly, to direct or cause the direction of management or policies of a
Person (through ownership of voting securities or other equity interests, by
contract or otherwise).

     "Agent" means ABN AMRO acting in its capacity as agent for the Lenders, and
any successor agent appointed hereunder pursuant to Section 9.7.

                                      -1-
<PAGE>
 
     "Agreement" means this Secured Credit Agreement, as amended, restated or
supplemented from time to time.

     "Amoco" means Amoco Production Company, a Delaware corporation.

     "Amoco Contract Selection" means the selection by Amoco of the duration of
each of the Amoco Drillship Contract and the Amoco Rig Contract pursuant to the
terms thereof.

     "Amoco Contracts" means the Amoco Drillship Contract and the Amoco Rig
Contract.

     "Amoco Drillship Contract" means that certain Letter Agreement with respect
to the Drillship dated May 17, 1996, as amended by Letter Agreement dated
December 6, 1996, each by and between Amoco and the Guarantor, as assigned to
the Borrower pursuant to that certain Discoverer Enterprise Drilling Contract
Assignment Agreement dated as of January 17, 1997, and when the more detailed
contract described therein is entered into by the Borrower and Amoco, such more
detailed agreement, in each case as amended, restated or supplemented from time
to time.

     "Amoco Letter of Acceptance" means a letter from Amoco accepting the
Drillship or the Rig, as the case may be, pursuant to the terms of the Amoco
Drillship Contract or the Amoco Rig Contract, as the case may be, each such
letter to be substantially in the form of Exhibit 4.4.

     "Amoco Rig Contract" means that certain Amoco Production Company Offshore
Drilling/Workover/Completion Contract with respect to the Rig dated as of
November 5, 1996, as amended by Letter Agreement dated December 6, 1996, each by
and between Amoco and the Guarantor, as assigned to the Borrower pursuant to
that certain Transocean Amirante Drilling Contract Assignment Agreement dated as
of January 10, 1997, and as amended, restated or supplemented from time to time.

     "Amortization Date" means a scheduled repayment date of the Term Loans
determined pursuant to Section 2.7.

     "Amsterdam" means Amsterdam Funding Corporation, a Delaware corporation.

     "Applicable Margin" means, for any day as follows:

     (i) Tranche A Loans.  For the Tranche A Loans, either (x) at such times as
the relevant Total Funded Debt to Total Capital Ratio of the Guarantor
(expressed as a percentage) is in one of the following ranges, the percentage
per annum set forth opposite such Total Funded Debt to Total Capital Ratio:

     Total Funded Debt to Total Capital Ratio           Percentage
     ----------------------------------------           ----------

     Less than 20%                                        0.375%
     Equal to or greater than 20%                         0.400%
      but less than 25%
     Equal to or greater than 25%                         0.450%
      but less than 30%
     Equal to or greater than 30%                         0.500%
      but less than 35%
     Equal to or greater than 35%                         0.625%

                                      -2-
<PAGE>
 
or (y) at such times as an investment grade rating (either express or implied)
by S&P or Moody's (or in the event that both cease the issuance of debt ratings
generally, such other ratings agency agreed to by the Borrower and the Agent) is
in effect on the Guarantor's senior unsecured long-term debt and if such
percentage per annum is lower than the percentage determined in accordance with
(x) above, the percentage per annum set forth opposite such investment grade
rating:

     Debt Rating                                           Percentage
     -----------                                           ----------

     BBB+/Baa1 or above                                      0.350%

     BBB/Baa2                                                0.375%

     BBB-/Baa3                                               0.425%

If the ratings issued by S&P and Moody's differ by one rating, the higher rating
shall apply to determine the Applicable Margin.  If the ratings issued by S&P
and Moody's differ by two ratings, the rating which falls between them shall
apply to determine the Applicable Margin.  If the ratings in effect on the
Guarantor's senior unsecured long-term debt applied to determine the Applicable
Margin as provided above fall below the investment grade ratings listed above,
the Applicable Margin shall be determined based on the Total Funded Debt to
Total Capital Ratio grid as set forth in (x) above.  The Borrower shall give
written notice to the Agent (which shall in turn provide such notice promptly to
the Lenders) of any ratings issued by either S&P or Moody's on such debt, of any
changes to such ratings and of any change to the Total Funded Debt to Total
Capital Ratio affecting the Applicable Margin within three (3) Business Days
thereof and any change to the Applicable Margin shall be effective one (1) day
thereafter.

     (ii) Construction Loans.  For the Construction Loans, 0.85% per annum.

     (iii)  Tranche B Term Loans.  For the Tranche B Term Loans, 0.65% per
annum.

     (iv) Tranche C Term Loans.  For the Tranche C Term Loans, (x) 1.125% per
annum for a three (3) year period commencing on the Conversion Date, and (y)
thereafter, 1.25% per annum, provided that if a Substitute Contract is
substituted for either or both of the Transocean Contracts pursuant to the terms
and conditions of Section 6.18 and the Person who is the party contracting with
the Borrower for the use of such vessel has an investment grade rating (either
express or implied) by S&P of at least  AA and by Moody's of at least Aa2 on its
senior unsecured long-term debt, then the Applicable Margin for that portion of
the Tranche C Term Loans which was scheduled to be repaid from such Transocean
Contract then being substituted shall instead be 0.65% per annum from and after
the date such Substitute Contract is substituted for the applicable Transocean
Contract pursuant to terms and conditions of Section 6.18 (the "Substitution
Date"), and further provided that if for any reason such Substitute Contract is
terminated, cancelled or rendered void or unenforceable prior to the scheduled
commencement date thereof and the Borrower does not immediately replace such
Substitute Contract with another Substitute Contract pursuant to the terms and
conditions of Section 6.18 and with a contracting party which satisfies the
above criteria, the Applicable Margin for such portion of the Tranche C Loans
shall automatically revert to the increased initial percentages set forth above
effective from and after the Substitution Date and the Borrower shall make up
all increased interest payments as a result thereof on the next Interest Payment
Date.

     "Assignment Agreement" means an agreement in substantially the form of
Exhibit 10.10 whereby a Lender conveys part or all of its Commitments and Loans
to another Person that is, or thereupon becomes, a Lender, or increases its
Commitments and outstanding Loans, pursuant to Section 10.10.

                                      -3-
<PAGE>
 
     "Assignments of Amoco Contracts" means the Collateral Assignment of Amoco
Drillship Contract and the Collateral Assignment of Amoco Rig Contract, each by
and between the Borrower and the Collateral Agent and in substantially the form
attached as Exhibit 4.1C, as amended, restated or supplemented from time to
time.

     "Assignment of Bank Guarantees" means the Collateral Assignment of Bank
Guarantees by and between the Borrower and the Collateral Agent in substantially
the form attached as Exhibit 4.1E, as amended, restated or supplemented from
time to time.

     "Assignments of O&M Contracts" means the Collateral Assignment of Drillship
Operating and Maintenance Contract and the Collateral Assignment of Rig
Operating and Maintenance Contract, each by and between the Borrower and the
Collateral Agent and in substantially the form attached as Exhibit 4.1F, as
amended, restated or supplemented from time to time.

     "Assignments of Shipyard Construction Contracts" means the Collateral
Assignment of Drillship Shipyard Construction Contract and the Collateral
Assignment of Rig Shipyard Construction Contract, each by and between the
Borrower and the Collateral Agent and in substantially the forms attached as
Exhibit 4.1D, as amended, restated or supplemented from time to time.

     "Assignments of Transocean Contracts" means the Collateral Assignment of
Transocean Drillship Contract and the Collateral Assignment of Transocean Rig
Contract, each by and between the Borrower and the Collateral Agent and in
substantially the form attached as Exhibit 4.1G, as amended, restated or
supplemented from time to time.

     "Base Rate" means for any day the greater of:

          (i)  the fluctuating commercial loan rate announced by the Lender
which is the Agent from time to time at its Chicago, Illinois office (or other
corresponding office, in the case of any successor Agent) as its base rate for
U.S. Dollar loans in the United States of America in effect on such day (which
base rate may not be the lowest rate charged by such Lender on loans to any of
its customers), with any change in the Base Rate resulting from a change in such
announced rate to be effective on the date of the relevant change; and

          (ii)  the sum of (x) the rate per annum (rounded upwards, if
necessary, to the nearest 1/16th of 1%) equal to the weighted average of the
rates on overnight federal funds transactions with members of the Federal
Reserve System arranged by federal funds brokers on such day, as published by
the Federal Reserve Bank of New York on the next Business Day, provided that (A)
if such day is not a Business Day, the rate on such transactions on the
immediately preceding Business Day as so published on the next Business Day
shall apply, and (B) if no such rate is published on such next Business Day, the
rate for such day shall be the average of the offered rates quoted to the Agent
by two (2) federal funds brokers of recognized standing on such day for such
transactions as selected by the Agent, plus (y) one-half of one percent (0.50%)
per annum.

     "Base Rate Loan" means a Loan bearing interest prior to maturity at the
rate specified in Section 2.8(a).

     "Borrower" means Transocean Enterprise Inc., a Delaware corporation.

     "Borrowing" means any extension of credit made by the Lenders by way of
Loans, including any Borrowings advanced, continued or converted.  A Borrowing
is "advanced" on the day the Lenders 

                                      -4-
<PAGE>
 
advance funds comprising such Borrowing to the Borrower, is "continued" (in the
case of Eurodollar Loans) on the date a new Interest Period commences for such
Borrowing and is "converted" when such Borrowing is changed from one type of
Loan to the other, all as requested by the Borrower pursuant to Section 2.5(a).

     "Business Day" means any day other than (a) a Saturday, Sunday or other day
on which banks in New York City, Chicago, Illinois or Houston, Texas are
authorized or required to close, (b) a holiday on the Federal Reserve calendar
and, (c) solely for matters relating to a Eurodollar Loan, a day on which
dealings in Dollars are not carried on in the London, England interbank market.

     "Capitalized Lease Obligations" means, for any Person, the amount of such
Person's liabilities under all leases of real or personal property (or any
interest therein) which is required to be capitalized on the balance sheet of
such Person as determined in accordance with GAAP.

     "Cash Equivalents" means (i) securities issued or directly and fully
guaranteed or insured by the United States of America or any agency or
instrumentality thereof having maturities of not more than twelve (12) months
from the date of acquisition, (ii) time deposits and certificates of deposits
maturing within one year from the date of acquisition thereof or repurchase
agreements with financial institutions whose short-term unsecured debt rating is
A or above as obtained from either S&P or Moody's, (iii) commercial paper or
Eurocommercial paper with a rating of at least A-1 by S&P or at least P-1 by
Moody's, with maturities of not more than twelve (12) months from the date of
acquisition, (iv) repurchase obligations entered into with any Lender, or any
other Person whose short-term senior unsecured debt rating from S&P is at least
A-1 or from Moody's is at least P-1, which are secured by a fully perfected
security interest in any obligation of the type described in (i) above and has a
market value at the time such repurchase is entered into of not less than 100%
of the repurchase obligation of such Lender or such other Person thereunder, (v)
marketable direct obligations issued by any state of the United States of
America or any political subdivision of any such state or any public
instrumentality thereof maturing within twelve (12) months from the date of
acquisition thereof or providing for the resetting of the interest rate
applicable thereto not less often than annually and, at the time of acquisition,
having one of the two highest ratings obtainable from either S&P or Moody's, and
(vi) money market funds which have at least $1,000,000,000 in assets and which
invest primarily in securities of the types described in clauses (i) through (v)
above.

     "Cash Flow Reserve" shall have the meaning ascribed to such term in Section
6.13.

     "Casualty Event" means an event resulting in destruction or damage to
either of the Drillship or the Rig other than as a result of an Event of Loss.

     "Casualty Proceeds" means all compensation, damages and other payments,
including, without limitation, any insurance proceeds from insurance required to
be provided hereunder and provided by the Drillship Builder pursuant to the
Drillship Shipyard Construction Contract, the Rig Builder pursuant to the Rig
Shipyard Construction Contract, Amoco pursuant to the Amoco Contracts, the
Guarantor pursuant to the Transocean Contracts or any other Person pursuant to
the Substitute Contracts, if any, received by the Borrower, the Agent, the
Collateral Agent or any of the Lenders, jointly or severally, from any
governmental authority or other Person with respect to or in connection with a
Casualty Event, net of all reasonable out-of-pocket costs and expenses incurred
by such recipient in connection therewith; provided, however, Casualty Proceeds
shall not include any "sue and labor reimbursement" expenses received by the
Borrower or the Guarantor under any hull insurance policy required pursuant to
Section 6.6.

     "Change Order" means any order under, or any amendment, modification or
change in, the Drillship Shipyard Construction Contract, the Rig Shipyard
Construction Contract or any other contract

                                      -5-
<PAGE>
 
for the construction of the Drillship or the upgrade of the Rig requiring or
authorizing an addition, deletion or change in the goods, services or work to be
supplied or performed thereunder.

     "Co-Agents" means each of Australia and New Zealand Banking Group Limited,
Bank of Montreal, The Bank of Nova Scotia, Atlanta Agency, The Bank of Tokyo -
Mitsubishi, Ltd., Houston Agency, and Westdeutsche Landesbank Girozentrale
acting in its capacity as a co-agent for the Lenders, and any successor co-agent
appointed hereunder pursuant to Section 9.7.

     "Code" means the Internal Revenue Code of 1986, as amended.

     "Collateral" means all property and assets of the Borrower in which the
Collateral Agent is granted a Lien for the benefit of the Lenders, the Swap
Parties and, if applicable, the Liquidity Providers and the Enhancer Provider,
under the terms of a Security Document.

     "Collateral Agent" means ABN AMRO acting in its capacity as collateral
agent for the Lenders, the Swap Parties and, if applicable, the LSF Lenders, and
any successor collateral agent appointed hereunder pursuant to Section 9.7.

     "Collateral Agreement" means the Collateral Agreement dated as of January
17, 1997, by and among the Borrower, the Collateral Agent, the Agent and the
Swap Parties, as amended, restated or supplemented from time to time.

     "Collateral Termination Date" means the first date when (i) no Loans or
Commitments remain outstanding hereunder and no other Obligation is due and
payable hereunder, (ii) the Borrower has no obligation to make any further
interest rate swap payments to any Swap Party under any Interest Rate Protection
Agreement entered into in accordance with Section 6.10 and no other obligations
of the Borrower are due and payable under any such Interest Rate Protection
Agreement and (iii) if applicable, all LSF Loans shall have been paid in full,
no commitments of the Liquidity Providers or the Enhancer Provider to the
Borrower remain outstanding under the Lease Securitization Facility and no other
LSF Obligation is due and payable by the Borrower under the Lease Securitization
Facility.

     "Commitment" means, for each Lender, its Tranche A Credit Commitment and
its Construction Credit Commitment.

     "Commitment Termination Date" means the earliest of (i) the Conversion
Date, (ii) the date on which the Commitments are terminated in full or reduced
to zero pursuant to Section 2.14, (iii) the occurrence of any Event of Default
described in Section 7.1(g) or (h) with respect to the Borrower or the
occurrence and continuance of any other Event of Default and either (x) the
declaration of the Loans to be due and payable pursuant to Section 7.2, or (y)
or in the absence of such declaration, the giving of written notice by the
Agent, acting at the direction of the Majority Lenders, to the Borrower pursuant
to Section 7.2 that the Commitments have been terminated, or (iv) January 31,
1997, if (and only if) the Initial Borrowing Date has not occurred on or before
such date.

     "Consolidated Net Worth" means, as of any date of determination, the
Guarantor's consolidated stockholders equity determined in accordance with GAAP,
excluding any capital stock subject to mandatory redemption before the Maturity
Date (as defined in the Transocean Parent Credit Facility); provided, however,
if the definition of "Consolidated Net Worth" shall be amended (but not deleted)
in the Transocean Parent Credit Facility, the definition of "Consolidated Net
Worth" herein shall be deemed amended in the same respect.  For purposes of this
definition, SPVs shall be accounted for pursuant to the equity method of
accounting.

                                      -6-
<PAGE>
 
     "Construction Credit" means the credit facility for making Construction
Loans described in Section 2.2.

     "Construction Credit Commitment" means, relative to any Lender, such
Lender's obligations to make Construction Loans pursuant to Section 2.2.

     "Construction Credit Commitment Amount" means $274,500,000, as such amount
may be reduced from time to time pursuant to this Agreement.

     "Construction Loans" means the Construction Loans as defined in Section
2.2.

     "Construction Notes" means certain promissory notes of the Borrower with
respect to the Construction Credit as defined in Section 2.12.

     "Conversion Date" means the date upon which the Construction Loans are (in
whole or in part) converted into the Term Loans pursuant to the terms hereof as
selected by the Borrower upon at least five (5) Business Days' notice to the
Agent (which shall in turn provide such notice promptly to the Lenders), which
date shall be not later than sixty (60) days after the Acceptance Date; provided
that, if for any reason such conversion does not occur on the date selected by
the Borrower, the Borrower may select another date therefor so long as such date
is not later than sixty (60) days after the Acceptance Date; and provided
further that in no event shall the Conversion Date be later than December 31,
1998.

     "Credit" means any of the credit facilities for making Loans described in
Sections 2.1 and 2.2.

     "Credit Documents" means this Agreement, the Notes, the Transocean
Performance Guaranty and the Security Documents, provided that from and after
the payment in full of the Tranche A Loans, the Tranche A Notes shall cease to
constitute Credit Documents.

     "Credit Party" means the Borrower or the Guarantor.

     "Default" means any event or condition the occurrence of which would, with
the passage of time or the giving of notice, or both, constitute an Event of
Default.

     "Dollar" and "U.S. Dollar" and the sign "$" mean lawful money of the United
States of America.

     "Drillship" means the dynamically positioned dual activity drillship known
as the Discoverer Enterprise which is being constructed to be capable of
drilling in water depths of up to 7,000 feet pursuant to the Amoco Drillship
Contract for the production and processing of Hydrocarbons.

     "Drillship Builder" means Astilleros Y Talleres del Noroeste, S.A., a
corporation organized under the laws of Spain, or any other Person in
replacement thereof as reasonably acceptable to the Agent and the Majority
Lenders.

     "Drillship Documents" shall have the meaning ascribed to such term in
Section 2.11(g).

     "Drillship Shipyard Construction Contract" means the Contract for
Construction of a Dynamically Positioned Drilling Unit dated as of July 24,
1996, by and between the Guarantor and the Drillship Builder, as assigned to the
Borrower pursuant to that certain Shipyard Contract Assignment Agreement between
the Guarantor and the Borrower dated as of January 17, 1997, and as amended,
restated or supplemented from time to time.

                                      -7-
<PAGE>
 
     "Effective Date" means the date this Agreement shall become effective as
defined in Section 10.16.

     "Engineer" means ABS Marine Services, Inc. or such other engineer selected
by the Agent with the consent of the Borrower, which consent shall not
unreasonably be withheld.

     "Enhancer" means, if applicable, ABN AMRO in its capacity as the provider
of the program letter of credit issued at the request of Amsterdam in connection
with the Lease Securitization Facility.

     "Environmental Claims" means any and all administrative, regulatory or
judicial actions, suits, demands, demand letters, claims, liens, notices of non-
compliance or violation, investigations or proceedings relating to any
Environmental Law or any permit issued under any Environmental Law ("Claims"),
including, without limitation, (i) any and all Claims by governmental or
regulatory authorities for enforcement, cleanup, removal, response, remedial or
other actions or damages pursuant to any applicable Environmental Law, and (ii)
any and all Claims by any third party seeking damages, contribution,
indemnification, cost recovery, compensation or injunctive relief resulting from
Hazardous Materials or arising from alleged injury or threat of injury to the
environment.

     "Environmental Law" means any federal, state, local or foreign statute,
law, rule, regulation, ordinance, code, policy or rule of common law now or
hereafter in effect, including any judicial, administrative or arbitral order,
consent, decree or judgment, relating to the environment.

     "ERISA" means the Employee Retirement Income Security Act of 1974, as
amended.

     "Eurodollar Loan" means a Loan bearing interest before maturity at the rate
specified in Section 2.8(b).

     "Eurodollar Reserve Percentage" means, with respect to each Interest Period
for a Eurodollar Loan, a percentage (expressed as a decimal) equal to the daily
average during such Interest Period of the percentages in effect on each day of
such Interest Period, if any, as prescribed by the Board of Governors of the
Federal Reserve System (or any successor thereto), for determining the maximum
reserve requirements (including, without limitation, any supplemental, marginal
and emergency reserves) applicable to "Eurocurrency Liabilities" of member banks
of the Federal Reserve System in New York City with deposits exceeding
$1,000,000,000 pursuant to Regulation D of the Board of Governors of the Federal
Reserve System or any other then applicable regulation of the Board of Governors
which prescribes reserve requirements applicable to "Eurocurrency Liabilities"
as presently defined in such Regulation D.

     "Event of Default" means any of the events or circumstances specified in
Section 7.1.

     "Event of Loss" means any of the following events:  (a) an event that
results in an insurance settlement on the basis of an actual or constructive
total loss of either the Drillship or the Rig; (b) theft, illegal confiscation
or disappearance of either of the Drillship or the Rig for a period of time
sufficient to allow Amoco or any Person under a Substitute Contract, as
applicable, to terminate or cancel, or that results in a termination or
cancellation of, the Amoco Contract or Substitute Contract, as applicable, for
such vessel; or (c) condemnation or other taking of title of either of the
Drillship or the Rig by a governmental authority or the requisition or taking of
use of either of the Drillship or the Rig by a governmental authority, in each
case for a period of time sufficient to allow Amoco or any Person under a
Substitute Contract, as applicable, to terminate or cancel, or that results in a
termination or cancellation of, the Amoco Contract or Substitute Contract, as
applicable, for such vessel.

                                      -8-
<PAGE>
 
     "Event of Loss Proceeds" means all compensation, damages and other
payments, including, without limitation, any insurance proceeds from insurance
required to be provided hereunder and provided by the Drillship Builder pursuant
to the Drillship Shipyard Construction Contract, the Rig Builder pursuant to the
Rig Shipyard Construction Contract, Amoco pursuant to the Amoco Contracts, the
Guarantor pursuant to the Transocean Contracts or any other Person pursuant to
the Substitute Contracts, if any, received by the Borrower, the Guarantor, the
Agent, the Collateral Agent or any of the Lenders, jointly or severally, from
any governmental authority or other Person with respect to or in connection with
an Event of Loss, net of all reasonable out-of-pocket costs and expenses
incurred by such recipient in connection therewith; provided, however, Event of
Loss Proceeds shall not include any "sue and labor" reimbursement expense
payments received by the Borrower or the Guarantor under any hull insurance
policy required pursuant to Section 6.6.

     "Excess Cash Flow" means for any calendar month beginning the first full
calendar month after the Conversion Date, all sums paid to the Borrower under
the Amoco Contracts, the Transocean Contracts or the Substitute Contracts during
the period from the date of the prior Excess Cash Flow calculation (or for the
first calculation thereof, from the Conversion Date) to two (2) Business Days
prior to the Amortization Date falling during such calendar month in excess of
the sum of (i) (x) with respect to the Drillship during the term of the Amoco
Drillship Contract or any Substitute Drillship Contract, $181,500 per day for
the number of days in the period to which the payment relates or (y) with
respect to the Drillship during the term of the Transocean Drillship Contract,
the operating dayrate contained therein (express or implicit) for the number of
days in the period to which the payment relates, plus (ii) with respect to the
Rig during the term of the Amoco Rig Contract or any Substitute Rig Contract,
the operating dayrate in the Amoco Rig Contract as of the Conversion Date, and
with respect to the Rig during the term of the Transocean Rig Contract, the
operating dayrate contained therein (express or implicit), as applicable, in
each case for the number of days in the period to which the payment relates, and
in the case of all of the foregoing without giving effect to any amendment
thereto which reduces the stated operating dayrate and excluding any portion of
any such sum paid to the Borrower that is, or is attributable to, (i) cost
reimbursements (including, without limitation, for capital expenditures), (ii)
employee performance bonuses, or other third party bonuses paid or payable to a
third party which is not an Affiliate of the Borrower or the Guarantor, (iii)
any sums paid to the Borrower pursuant to any increase in the stated operating
dayrate under the stated contract for the Drillship or the Rig as a result of
cost escalations or capital expenditures, as demonstrated to the reasonable
satisfaction of the Agent, (iv) stated operating dayrate income paid under any
Substitute Contract during any period of cancellation of the Amoco Contract for
the same vessel during which Amoco is required to pay cancellation fees, to the
extent over and above the stated operating dayrate under the Amoco Contract,
which is required to be paid to Amoco under the applicable Amoco Contract, and
(v) income paid to the Borrower during any period of assignment of an Amoco
Contract to the extent required to be paid to Amoco under the applicable Amoco
Contract.  To the extent the Borrower or the Guarantor funds or replenishes the
Cash Flow Reserve or the Insurance Reserve pursuant to the provisions of Section
6.6(c) or Section 6.13, as applicable, or to the extent the Borrower or the
Guarantor funds the Transocean Drillship Differential (including, without
limitation, pursuant to Section 1.4 of the Transocean Performance Guaranty), the
Borrower shall recoup the amount so funded or replenished (to the extent not
already recouped by the Borrower out of any excess Casualty Proceeds released to
the Borrower pursuant to Section 2.11(d)) before calculating Excess Cash Flow,
and the Excess Cash Flow in contemporaneous and subsequent months shall be
deemed reduced (but not below zero) until the entire amount so funded or
replenished is so recouped.

     "Financed Amount" shall have the meaning ascribed to such term in Section
2.10(b)(ii).

                                      -9-
<PAGE>
 
     "First Mortgages" means the First Naval Mortgage covering the Drillship and
the First Naval Mortgage covering the Rig, each by and between the Borrower and
the Collateral Agent and in substantially the form attached as Exhibit 4.1A, as
amended, restated or supplemented from time to time.

     "Fixed Operating Expenses" means the monthly Fixed Operating Expenses for
each of the Drillship and the Rig at the applicable time as defined in the
applicable O&M Contract.

     "Force Majeure" with respect to the Drillship or the Rig, as applicable,
shall have the meaning ascribed to such term in the applicable Amoco Contract,
Transocean Contract or Substitute Contract.

     "Free Cancellation Right" shall have the meaning ascribed to such term in
Section 2.7(c)(iv).

     "Functional Requirements" means the specifications and requirements for the
design, construction and performance capabilities of each of the Drillship and
the Rig as set forth in the Amoco Drillship Contract and the Amoco Rig Contract,
respectively.

     "GAAP" means generally accepted accounting principles from time to time in
effect as set forth in the opinions and pronouncements of the Accounting
Principles Board of the American Institute of Certified Public Accountants and
the statements and pronouncements of the Financial Accounting Standards Board or
in such other statements, opinions and pronouncements by such other entity as
may be approved by a significant segment of the U.S. accounting profession.

     "Guarantor" means Transocean Offshore Inc., a Delaware corporation.

     "Guaranty" by any Person means all contractual obligations (other than
endorsements in the ordinary course of business of negotiable instruments for
deposit or collection or similar transactions in the ordinary course of
business) of such Person guaranteeing any Indebtedness, dividend or other
obligation (including, without limitation, obligations in connection with sales
of any property) of any other Person (the "primary obligor") in any manner,
whether directly or indirectly, including, without limitation, all obligations
incurred through an agreement, contingent or otherwise, by such Person: (i) to
purchase such Indebtedness or obligation, or to purchase any property or assets
constituting security therefor, primarily for the purpose of assuring the owner
of such Indebtedness or obligation of the ability of the primary obligor to make
payment of such Indebtedness or obligation; or (ii) to advance or supply funds
(x) for the purchase or payment of such Indebtedness or obligation, or (y) to
maintain working capital or other balance sheet condition, or otherwise to
advance or make available funds for the purchase or payment of such Indebtedness
or obligation, in each case primarily for the purpose of assuring the owner of
such Indebtedness or obligation of the ability of the primary obligor to make
payment of such Indebtedness or obligation; or (iii) to lease property, or to
purchase securities or other property or services, of the primary obligor,
primarily for the purpose of assuring the owner of such Indebtedness or
obligation of the ability of the primary obligor to make payment of such
Indebtedness or obligation; or (iv) otherwise to assure the owner of such
Indebtedness or obligation of the primary obligor against loss in respect
thereof.  For the purpose of all computations made under this Agreement, the
amount of a Guaranty in respect of any obligation shall be deemed to be equal to
the amount that would apply if such obligation were the direct obligation of
such Person rather than the primary obligor or, if less, the maximum aggregate
potential liability of such Person under the terms of such Guaranty.

     "Hazardous Material" shall have the meaning assigned to that term in the
Comprehensive Environmental Response Compensation and Liability Act of 1980, as
amended by the Superfund Amendments and Reauthorization Acts of 1986, and shall
also include Hydrocarbons or any other

                                      -10-
<PAGE>
 
substance defined as "hazardous" or "toxic" or words with similar meaning and
effect under any Environmental Law applicable to the Borrower.

     "Highest Lawful Rate" means the maximum nonusurious interest rate, if any,
that any time or from time to time may be contracted for, taken, reserved,
charged or received on the Loans, under laws applicable to any of the Lenders
which are presently in effect or, to the extent allowed by applicable law, under
such laws which may hereafter be in effect and which allow a higher maximum
nonusurious interest rate than applicable laws now allow.  Determination of the
rate of interest for the purpose of determining whether the Loans are usurious
under all applicable laws shall be made by amortizing, prorating, allocating,
and spreading, in equal parts during the period of the full stated term of the
Loans, all interest at any time contracted for, taken, reserved, charged or
received from the Borrower in connection with the Loans.

     "Hydrocarbons" means oil, gas and other liquid or gaseous hydrocarbons.

     "Indebtedness" means, for any Person, the following obligations of such
Person, without duplication:  (i) obligations of such Person for borrowed money;
(ii) obligations of such Person representing the deferred purchase price of
property or services other than accounts payable arising in the ordinary course
of business and other than amounts which are being contested in good faith and
for which reserves in conformity with GAAP have been provided; (iii) obligations
of such Person evidenced by bonds, notes, bankers acceptances, debentures or
other similar instruments of such Person or arising, whether absolute or
contingent, out of letters of credit issued for such Person's account or
pursuant to such Person's application; (iv) obligations of other Persons,
whether or not assumed, secured by Liens (other than Permitted Liens) upon
property or payable out of the proceeds or production from property now or
hereafter owned or acquired by such Person, but only to the extent of such
property's fair market value; (v) Capitalized Lease Obligations of such Person;
(vi) obligations under (x) Interest Rate Protection Agreements, (y) commodity
hedge, swap, exchange, forward, future, collar or cap arrangements, fixed price
commodity agreements and all other agreements or arrangements, in each case
designed primarily to protect against fluctuations in commodity prices, and (z)
futures agreements, arrangements or options designed primarily to protect
against fluctuations in currency exchange rates; and (vii) obligations of such
Person pursuant to a Guaranty of any of the foregoing of another Person.  For
purposes of this Agreement, the Indebtedness of any Person shall include the
Indebtedness of any partnership or joint venture to the extent such Indebtedness
is recourse to such Person.

     "Initial Borrowing Date" means the date on which all conditions precedent
set forth herein to the initial Borrowing are satisfied or waived in writing and
the initial Borrowing hereunder occurs, which date shall be no later than
January 31, 1997.

     "Insurance Reserve" shall have the meaning ascribed to such term in Section
6.6(c).

     "Insurance Reserve Required Amount" shall have the meaning ascribed to such
term in Section 6.6(c).

     "Interest Payment Date" means (i) with respect to any Tranche A Loan or any
Construction Loan (x) that is a Base Rate Loan, the last Business Day of each
calendar quarter such Loan is outstanding commencing March 31, 1997, and (y)
that is a Eurodollar Loan, the last Business Day of each Interest Period for
such Loan and, during any Interest Period of six (6) months, the next Business
Day occurring three (3) months after the commencement of such Interest Period,
and (ii) with respect to any Term Loan, each Amortization Date.

                                      -11-
<PAGE>
 
     "Interest Period" means the period commencing on the date that a Borrowing
of Eurodollar Loans is advanced, continued or created by conversion and, subject
to Section 2.6, ending on (i) with respect to any Tranche A Loan or any
Construction Loan, the date one (1), two (2), three (3) or six (6) months
thereafter as selected by the Borrower pursuant to the terms of this Agreement,
and (ii) with respect to any Term Loan, the next Amortization Date.

     "Interest Rate Protection Agreement" shall mean any interest rate swap,
interest rate  cap, interest rate collar, or other interest rate hedging
agreement or arrangement designed to protect against fluctuations in interest
rates.

     "Lease Securitization Facility" means, if applicable, the agreement or
agreements executed by the Borrower implementing or evidencing any uncommitted
lease securitization facility which Amsterdam may elect to provide to the
Borrower on the Conversion Date to refinance the outstanding principal amount of
the Construction Loans (up to a limit of $271,500,000), or a portion thereof,
which facility (i) would be supported by an enhancer facility to be provided by
the Enhancer and a liquidity facility to be provided by the Liquidity Providers,
and (ii) would potentially be in two programs, Program B which would refinance
the portion of the Construction Loans which would be converted into Tranche B
Term Loans hereunder, and Program C which would refinance the portion of the
Construction Loans which would be converted into Tranche C Term Loans hereunder
(provided that any agreement evidencing any such facility shall expressly state
that it is part of the "Lease Securitization Facility" for purposes of this
Agreement), as amended, restated or supplemented from time to time.

     "Lender" shall have the meaning ascribed to such term in the preamble.

     "Lending Office" means the branch, office or affiliate of a Lender
specified on the appropriate signature page hereof, or designated pursuant to
Section 8.4 or 10.10, as the office through which it will make its Loans
hereunder for each type of Loan available hereunder.

     "LIBOR Rate" means, relative to any Interest Period for each Eurodollar
Loan comprising part of the same Borrowing, a rate of interest per annum
(rounded upwards, if necessary, to the nearest whole multiple of 1/16 of 1%),
equal to the arithmetic mean of the "LIBOR" rates of interest per annum
appearing on Telerate Screen page 3750 (or any successor publication) for
Dollars two (2) Business Days before the commencement of such Interest Period
for delivery on the first day of such Interest Period, at or about 11:00 a.m.
(London, England time) for a period approximately equal to such Interest Period
and in an amount equal or comparable to the aggregate principal amount of the
Eurodollar Loans to which such Interest Period relates.  If the foregoing
Telerate rate is unavailable for any reason, then such rate shall be determined
by the Agent from the Reuters Screen LIBOR page, or if such rate is also
unavailable on such service, on any other interest rate reporting service of
recognized standing selected by the Agent after consultation with the Borrower.

     "License Agreement" shall have the meaning ascribed to such terms in
Section 4.1(i)(R).

     "Lien" means any interest in any property or asset in favor of a Person
other than the owner of such property or asset and securing an obligation owed
to, or a claim by, such Person, whether such interest is based on the common
law, statute or contract, including, but not limited to, the security interest
lien arising from a mortgage, encumbrance, pledge, conditional sale, security
agreement or trust receipt, or a lease, consignment or bailment for security
purposes.

     "Liquidity Providers" means, if applicable, the "Liquidity Providers" as
defined in the Lease Securitization Facility in their capacity as such.

                                      -12-
<PAGE>
 
     "Loan" means a Base Rate Loan or Eurodollar Loan, each of which is a "type"
of Loan hereunder, outstanding as a Tranche A Loan, a Construction Loan, a
Tranche B Term Loan or a Tranche C Term Loan.

     "LSF Lenders" means Amsterdam, the Enhancer, the Liquidity Providers and
any agent therefor pursuant to the terms of any Lease Securitization Facility.

     "LSF Loans" means any "Loans" as defined in the Lease Securitization
Facility.

     "LSF Obligations" means any "Obligations" as defined in the Lease
Securitization Facility.

     "LSF Operative Documents" means the "Operative Documents" as defined in the
Lease Securitization Facility.

     "LSF Vessel Amortization Payments" means the "Vessel Amortization Payments"
as defined in the Lease Securitization Facility.

     "Majority Lenders" means, at any time, Lenders then holding in the
aggregate at least fifty-one percent (51%) of the aggregate outstanding
principal amount of the Tranche A Loans, the Construction Loans, the Tranche B
Term Loans and the Tranche C Term Loans.  The percentage set forth opposite each
Lender's name on the signature page hereto reflects the initial voting
percentage of each Lender hereunder.

     "Material Adverse Effect" means an effect that results in a material
adverse (i) change, since the Effective Date (in each case except to the extent
resulting from transactions expressly permitted under any Credit Document), in
(x) the business, properties, assets or financial condition of the Borrower or
the prospects of the Borrower during the scheduled term of the Loans, (y) so
long as the Transocean Performance Guaranty is in force and effect, the
business, properties, assets or financial condition of the Guarantor and its
Subsidiaries taken as a whole, or (z) the ability of the Borrower or the
Borrower and the Guarantor taken as a whole to perform their Obligations under
the Operative Documents to which they are a party, or (ii) change in the rights
and remedies of the Lenders or the Agent under the Credit Documents (other than
in accordance with the express terms thereof).

     "Maturity Date" means (i) for the Tranche A Loans, the Conversion Date;
(ii) for the portion of the Construction Loans (if any) which are not converted
to Term Loans pursuant to the terms and conditions hereof, the Conversion Date;
(iii) for the Tranche B Term Loans, either (x) the date three (3) years after
the Conversion Date if Amoco selects (or is deemed to have selected) three (3)
years as the duration of each of the Amoco Contracts, (y) the date five (5)
years after the Conversion Date if Amoco selects (or is deemed to have selected)
five (5) years or more as the duration of each of the Amoco Contracts, or (z) if
Amoco selects any other options for the duration of the Amoco Contracts pursuant
to the terms thereof, the Maturity Date for the Tranche B Term Loans shall be
the Amortization Date in the calendar month in which the date falls that the
last payment of the stated operating dayrates or cancellation fees are scheduled
(as of the Conversion Date) to be made by Amoco to the Borrower under either of
the Amoco Contracts (without giving effect to any amendment thereof after the
Conversion Date or any portion of any such term which Amoco may cancel without
paying a cancellation fee), but in no event shall such Maturity Date be later
than the date five (5) years after the Conversion Date; and (iv) for the Tranche
C Term Loans, the date five (5) years after the Conversion Date.  The Maturity
Date for the Tranche B Term Loans shall be adjusted in accordance with Section
2.7(c), but in no event shall the Maturity Date for the Tranche B Term Loans be
later than the date five (5) years after the Conversion Date.

     "Moody's" means Moody's Investors Service, Inc., or any successor thereto.

                                      -13-
<PAGE>
 
     "Non-recourse Debt" means with respect to any Person (i) obligations of
such Person against which the obligee has no recourse to such Person except as
to certain named or described present or future assets or interests, and (ii)
the obligations of SPVs to the extent the obligee thereof has no recourse to the
Guarantor or any of its Subsidiaries; provided, however, if the definition of
"Non-recourse Debt" shall be amended (but not deleted) in the Transocean Parent
Credit Facility, the definition of "Non-recourse Debt" herein shall be deemed
amended in the same respect.

     "Norwegian GAAP" means generally accepted accounting principles from time
to time in effect in the Kingdom of Norway.

     "Notes" means any of the promissory notes of the Borrower defined in
Section 2.12.

     "Obligations" means all obligations of the Borrower and the Guarantor to
pay fees, costs and expenses, principal or interest on Loans and to pay any
other obligations to the Agent or any Lender arising under any Credit Document.

     "O&M Contracts" means the Drillship Operation and Maintenance Contract and
the Rig Operation and Maintenance Contract, each by and between the Guarantor
and the Borrower and in substantially the form attached as Exhibit 4.1N, as
amended, restated or supplemented from time to time.

     "Operative Documents" means the Amoco Contracts, the Transocean Contracts,
any Substitute Contracts, the Drillship Shipyard Construction Contract, the Rig
Shipyard Construction Contract, the O&M Contracts, the License Agreement and the
Credit Documents.

     "PBGC" means the Pension Benefit Guaranty Corporation or any successor
thereto.

     "Percentage" means, for each Lender, the percentage of the Commitments
represented by such Lender's Commitment; provided, that, if the Commitments are
terminated, each Lender's Percentage shall be calculated based on its Commitment
in effect immediately before such termination, subject to any assignments by
such Lender of Obligations pursuant to Section 10.10.

     "Performance Guaranties" means all Guaranties of the Guarantor or any of
its Subsidiaries delivered in connection with the construction financing of
drill ships, offshore mobile drilling units or offshore drilling rigs for which
firm drilling contracts have been obtained by the Guarantor, any of its
Subsidiaries or a SPV; provided, however, if the definition of "Performance
Guaranties" shall be amended (but not deleted) in the Transocean Parent Credit
Facility, the definition of "Performance Guaranties" herein shall be deemed
amended in the same respect.  It is understood and agreed, notwithstanding any
such amendment, that the Transocean Performance Guaranty and, to the extent (if
at all) constituting a Guaranty, the O&M Contracts and the Transocean Contracts
constitute Performance Guaranties.

     "Performance Letters of Credit" means all letters of credit for the account
of the Guarantor, any Subsidiary of the Guarantor or a SPV issued as support for
Non-recourse Debt or a Performance Guaranty; provided, however, if the
definition of "Performance Letters of Credit" shall be amended (but not deleted)
in the Transocean Parent Credit Facility, the definition of "Performance Letters
of Credit" herein shall be deemed amended in the same respect.

     "Permitted Distribution Sources" shall have the meaning ascribed to such
term in Section 6.11.

     "Permitted Liens" shall have the meaning ascribed to such term in Section
6.14.

                                      -14-
<PAGE>
 
     "Person" means an individual, partnership, corporation, limited liability
company, association, trust, unincorporated organization or any other entity or
organization, including a government or any agency or political subdivision
thereof.

     "Plan" means an employee pension benefit plan covered by Title IV of ERISA
or subject to the minimum funding standards under Section 412 of the Code that
is either (i) maintained by the Borrower, or (ii) maintained pursuant to a
collective bargaining agreement or any other arrangement under which more than
one employer makes contributions and to which the Borrower is then making or
accruing an obligation to make contributions or has within the preceding five
(5) plan years made or had an obligation to make contributions.

     "Reimbursement Payment" shall have the meaning ascribed to such term in
Section 5.5.

     "Reuters Screen" means, when used in connection with any designated page
and the "LIBOR" rate, the display page so designated on the Reuter Money 2000
Service (or such other page as may replace that page on that service or on any
replacement Reuter Service for the purpose of displaying rates comparable to the
"LIBOR" rate).

     "Rig" means the third generation rig known as the Transocean Amirante to be
capable of drilling in water depths of up to 3,500 feet for the production and
processing of Hydrocarbons which is being upgraded pursuant to the Amoco Rig
Contract.

     "Rig Builder" means Amfels, Inc., a Texas corporation, or any other Person
in replacement thereof as reasonably acceptable to the Agent and the Majority
Lenders.

     "Rig Documents" shall have the meaning ascribed to such term in Section
2.11(g).

     "Rig Shipyard Construction Contract" means the Master Service Contract for
the Rig by and between the Guarantor and the Rig Builder dated as of June 7,
1996, as amended and assigned to the Borrower pursuant to the Master Service
Contract Amendment & Assignment Agreement dated as of January 10, 1997, by and
among the Guarantor, the Rig Builder and the Borrower, together with all work
orders issued thereunder, as amended, restated or supplemented from time to
time.

     "SEC" means the Securities and Exchange Commission.

     "S&P" means Standard & Poor's Ratings Group, or any successor thereto.

     "Security Agreement" means the Security Agreement by and between the
Borrower and the Collateral Agent and in substantially the form of Exhibit 4.1B,
as amended, restated or supplemented from time to time.

     "Security Documents" means the First Mortgages, the Security Agreement, the
Assignments of Shipyard Construction Contracts, the Assignments of Amoco
Contracts, the Assignments of Transocean Contracts, the Assignment of Bank
Guarantees, the Assignments of O&M Contracts, any collateral assignment of any
Substitute Contracts, Section 2 of the Collateral Agreement, and all other
security agreements, mortgages and like agreements or instruments delivered by
the Borrower or any other Person granting a Lien on any of such Person's
property to the Collateral Agent for the benefit of the Lenders, the Swap
Parties and, if applicable, the LSF Lenders, to secure (without limitation) the
Obligations, as any of the same may be amended, restated or supplemented from
time to time.

                                      -15-
<PAGE>
 
     "Senior Officer" means the president, any vice president, the chief
financial officer, the treasurer or the controller of the Borrower.

     "Sizing Date" shall have the meaning ascribed to such term in Section
2.7(c).

     "Sizing Methodology" shall have the meaning ascribed to such term in
Section 2.7(c).

     "SPV" means any Person that is designated by the Guarantor as a SPV
pursuant to the terms and conditions of the Transocean Parent Credit Facility,
or if such facility shall no longer be in force and effect, pursuant to the
terms and conditions last in effect in such facility.

     "Subsidiary" means, for any Person, any other Person (other than a SPV) of
which more than fifty percent (50%) of the outstanding stock or comparable
equity interests having ordinary voting power for the election of the board of
directors of such corporation, any managers of such limited liability company or
similar governing body (irrespective of whether or not at the time stock or
other equity interests of any other class or classes of such corporation or
other entity shall have or might have voting power by reason of the happening of
any contingency), is at the time directly or indirectly owned by such former
Person or by one or more of its Subsidiaries; provided, however, if the
definition of "Subsidiary" shall be amended (but not deleted) in the Transocean
Parent Credit Facility, the definition of "Subsidiary" herein shall be deemed
amended in the same respect.

     "Substitute Contracts" means any Substitute Drillship Contract and any
Substitute Rig Contract.

     "Substitute Drillship Contract" means any contract for the use of the
Drillship entered into by and between the Borrower and another Person
(including, without limitation, Amoco) in replacement of the Transocean
Drillship Contract as described in Section 6.18, provided that no such contract
shall be deemed to constitute a Substitute Drillship Contract unless and until
the Borrower terminates the Transocean Drillship Contract.

     "Substitute Rig Contract" means any contract for the use of the Rig entered
into by and between the Borrower and another Person (including, without
limitation, Amoco) in replacement of the Transocean Rig Contract as described in
Section 6.18, provided that no such contract shall be deemed to constitute a
Substitute Rig Contract unless and until the Borrower terminates the Transocean
Rig Contract.

     "Swap Obligations" means all obligations of the Borrower to pay fees, costs
and expenses, interest rate swap payments or other obligations to any Swap Party
under any Interest Rate Protection Agreement heretofore or hereafter entered
into by the Borrower.

     "Swap Parties" means each counterparty to an Interest Rate Protection
Agreement entered into by the Borrower in accordance with Section 6.10 who is a
Lender or an Affiliate of a Lender at the time such Interest Rate Protection
Agreement is entered into.

     "Taxes" shall have the meaning ascribed to such term in Section 5.11.

     "Telerate Screen" means, when used in connection with any designated page
and the "LIBOR" rate, the display page so designated on the Dow Jones Telerate
Service (or such other page as may replace that page on that service or on any
replacement Dow Jones Service for the purpose of displaying rates comparable to
the "LIBOR" rate).

     "Term Loans" means the Tranche B Term Loans and the Tranche C Term Loans.

                                      -16-
<PAGE>
 
     "Total Capital" means, as of any date of determination, the sum of Total
Funded Debt plus Consolidated Net Worth of the Guarantor and its Subsidiaries as
of such date; provided, however, if the definition of "Total Capital" shall be
amended (but not deleted) in the Transocean Parent Credit Facility, the
definition of "Total Capital" herein shall be deemed amended in the same
respect.

     "Total Commitment Amount" means the sum of the Tranche A Credit Commitment
Amount and the Construction Credit Commitment Amount.

     "Total Funded Debt" means, as of any date of determination, the sum
(without duplication) of (i) Indebtedness for borrowed money, all obligations
evidenced by bonds, debentures, notes or similar instruments, and obligations to
pay the deferred purchase price of property which in accordance with GAAP would
be shown on a consolidated balance sheet as a liability, (ii) all obligations,
contingent or otherwise, relative to the face amount of letters of credit and
bankers acceptances issued and outstanding and (iii) all obligations as lessee
under leases which are required to be recorded as Capitalized Lease Obligations
in accordance with GAAP, all calculated on a consolidated basis for the
Guarantor and its Subsidiaries; provided, however, Total Funded Debt shall
exclude (x) Non-recourse Debt, (y) Performance Letters of Credit and Performance
Guaranties until any such Performance Letter of Credit is drawn upon or any such
Performance Guarantee is called upon, in which case the aggregate amount drawn
thereunder or called upon, and unpaid from time to time, shall be included from
and after the date and time of such event and (z) letters of credit issued and
outstanding in the ordinary course of business to comply with governmental
requirements relating to the import and export of vessels until any such letter
of credit is drawn upon, in which case the aggregate amount drawn thereunder and
unpaid from time to time shall be included from and after the date and time of
such event; and further provided that if the definition of "Total Funded Debt"
shall be amended (but not deleted) in the Transocean Parent Credit Facility, the
definition of "Total Funded Debt" herein shall be deemed amended in the same
respect.

     "Total Funded Debt to Total Capital Ratio" means, as of any date, the
ratio, expressed as a percentage, of Total Funded Debt to Total Capital.  For
purposes of this ratio, (i) until the delivery of the consolidated balance sheet
of the Guarantor as of December 31, 1996, Consolidated Net Worth shall equal
$1,609,810,000, and (ii) from and after the delivery of such consolidated
balance sheet, Consolidated Net Worth as of any date shall be determined as of
the date of the most recent consolidated balance sheet of the Guarantor
delivered pursuant to the Transocean Performance Guaranty; provided, however, if
the definition of "Total Funded Debt to Total Capital Ratio" shall be amended
(but not deleted) in the Transocean Parent Credit Facility, the definition of
"Total Funded Debt to Total Capital Ratio" herein shall be deemed amended in the
same respect.

     "Tranche A Credit" means the credit facility for making Tranche A Loans
described in Section 2.1.

     "Tranche A Credit Commitment" means, relative to any Lender, such Lender's
obligations to make Tranche A Loans pursuant to Section 2.1.

     "Tranche A Credit Commitment Amount" means an amount equal to $66,000,000.

     "Tranche A Loans" means the Tranche A Loans as defined in Section 2.1.

     "Tranche A Notes" means certain promissory notes of the Borrower with
respect to the Tranche A Credit as defined in Section 2.12.

     "Tranche B Term Loans" means the Tranche B Terms Loans as defined in
Section 2.3.

                                      -17-
<PAGE>
 
     "Tranche C Term Loans" means the Tranche C Terms Loans as defined in
Section 2.3.

     "Transfer" means a sale, transfer, conveyance, assignment or other
disposition (or a series of related dispositions), including, without
limitation, any transfer pursuant to an option to purchase, any sale or
assignment (with or without recourse) of any accounts receivable and any sale
and leaseback of assets, of an asset having a net book value as established in
accordance with GAAP in excess of $250,000, but excluding any involuntary
transfer by operation of law and any transfers of an asset pursuant to any
casualty or theft with respect to such asset.

     "Transocean Contracts" means the Transocean Drillship Contract and the
Transocean Rig Contract.

     "Transocean Parent Credit Facility" means that certain Secured Credit
Agreement dated as of July 30, 1996, by and among the Guarantor, ABN AMRO, as
Agent, and certain lenders parties thereto, as amended, restated or supplemented
from time to time.

     "Transocean Drillship Contract" means the Transocean Drillship Lease
Agreement by and between the Guarantor and the Borrower in substantially the
form attached as Exhibit 4.1O), as amended, restated or supplemented from time
to time.

     "Transocean Drillship Differential" means, for any calendar month during
the term of the Amoco Drillship Contract, any shortfall in the operating dayrate
payment, plus any incentive or bonus payments, received by the Borrower under
the Amoco Drillship Contract for the number of days in the period to which the
payment relates, as compared to what such contract payment would have been if
the stated operating dayrate (exclusive of incentive or bonus payments) under
the Amoco Drillship Contract was $181,500 per day, as opposed to the actual
stated operating dayrate under the Amoco Drillship Contract; provided that if
the Borrower shall be restricted from repaying any loan or advance from the
Guarantor to pay the Transocean Drillship Differential pursuant to the
provisions of Section 6.15(d) as a result of a Default or an Event of Default
having occurred and being continuing hereunder, and any incentive or bonus
payment is made under the Amoco Drillship Contract, then the Transocean
Drillship Differential with respect to any contemporaneous or subsequent
payments of operating dayrates actually received by the Borrower under the Amoco
Drillship Contract shall be reduced (but not below zero) dollar for dollar by
the amount of such incentive or bonus payment until the entire amount of such
incentive or bonus payment has been credited against the Transocean Drillship
Differential until such time as the Borrower shall be permitted to repay such
Indebtedness pursuant to the terms hereof.  The Transocean Drillship
Differential for any calendar month during which a Vessel Financing Termination
with respect to the Drillship occurs, or for any calendar month thereafter,
shall be deemed to be zero.

     "Transocean Performance Guaranty" means the Transocean Performance Guaranty
in substantially the form of Exhibit 4.1H, as amended, restated or supplemented
from time to time.

     "Transocean Rig Contract" means the Transocean Rig Lease Agreement by and
between the Guarantor and the Borrower in substantially the form attached as
Exhibit 4.1O, as amended, restated or supplemented from time to time.

     "Unfunded Vested Liabilities" means, for any Plan at any time, the amount
(if any) by which the present value of all vested nonforfeitable accrued
benefits under such Plan exceeds the fair market value of all Plan assets
allocable to such benefits, determined as of the then most recent valuation date
for such Plan, but only to the extent that such excess represents a potential
liability of the Borrower to the PBGC or such Plan.

                                      -18-
<PAGE>
 
     "Vessel Amortization Payments" shall have the meaning ascribed to such term
in Section 2.10(b)(ii).

     "Vessel Financing Termination" means the election of the Borrower to
terminate the financing arrangements provided for in this Agreement and the
other Credit Documents with respect to either of the Drillship or the Rig
pursuant to the terms and conditions of Section 2.10(b).

     "Vessel Percentage" shall have the meaning ascribed to such term in Section
6.6(c).

     Section 1.2.  Interpretation.  The foregoing definitions shall be equally
applicable to the singular and plural forms of the terms defined.  All
references to times of day in this Agreement shall be references to New York,
New York time unless otherwise specifically provided.

SECTION 2.  THE CREDIT FACILITIES.

     Section 2.1.  Borrowings of Tranche A Loans.  Subject to the terms and
conditions hereof, each Lender severally and not jointly agrees to make one or
more loans (each a "Tranche A Loan") to the Borrower from time to time prior to
the Conversion Date in an aggregate amount not to exceed at any time outstanding
an amount equal to its Percentage of the Tranche A Credit Commitment Amount (for
each Lender, its "Tranche A Credit Commitment").  No Lender shall be permitted
or required to make any Tranche A Loan if, after giving effect thereto, (i) the
aggregate principal amount of the Tranche A Loans of all Lenders would thereby
exceed the Tranche A Credit Commitment Amount then in effect; or (ii) all
Tranche A Loans of such Lender would thereby exceed the Percentage of such
Lender of the Tranche A Credit Commitment Amount then in effect.  Each Borrowing
of Tranche A Loans shall be made ratably from the Lenders in proportion to their
respective Percentages.  Any portion of the Tranche A Credit Commitment not
borrowed before the Conversion Date shall terminate and not be available for
borrowing.

     Section 2.2.  Borrowings of Construction Loans.  Subsequent to Tranche A
Loans in the aggregate amount of the Tranche A Credit Commitment Amount being
made by the Lenders and prior to or on the Conversion Date, and subject to the
other terms and conditions hereof, each Lender severally and not jointly agrees
to make one or more loans (each a "Construction Loan") to the Borrower from time
to time in an aggregate amount not to exceed at any time outstanding an amount
equal to its Percentage of the Construction Credit Commitment Amount (for each
Lender, its "Construction Credit Commitment").  No Lender shall be permitted or
required to make any Construction Loan if, after giving effect thereto, (i) the
aggregate principal amount of the Construction Loans of all Lenders would
thereby exceed the Construction Credit Commitment Amount; or (ii) all
Construction Loans of such Lender would thereby exceed the Percentage of such
Lender of the Construction Credit Commitment Amount. Each Borrowing of
Construction Loans shall be made ratably from the Lenders in proportion to their
respective Percentages. Any portion of the Construction Credit Commitment not
borrowed on or before the Conversion Date shall terminate and not be available
for borrowing.

     Section 2.3.  Conversion of Construction Loans into Term Loans.  Upon the
timely election of the Borrower and subject to the terms and conditions set
forth in Section 4.4, the outstanding principal amount of all Construction Loans
shall be converted into two (2) tranches of Loans (each a "Tranche B Term Loan"
or a "Tranche C Term Loan", as applicable) on the Conversion Date, such
outstanding principal amount of the Construction Loans to be apportioned between
the Tranche B Term Loans and the Tranche C Term Loans depending upon the Amoco
Contract Selection; provided, however, the maximum outstanding principal amount
of the Construction Loans which may be converted into Term Loans pursuant to the
terms and conditions hereof shall be $271,500,000.  The aggregate principal
amounts of the Tranche B Term Loans and the Tranche C Term Loans shall be
determined using the Sizing Methodology described in Section 2.7(c).  The
Borrower may elect to convert, subject to the conditions precedent therefor

                                      -19-
<PAGE>
 
contained in Section 4.4, less than all (or, if the aggregate principal amount
of the Construction Loans exceeds $271,500,000, less than $271,500,000) of the
Construction Loans into Term Loans on the Conversion Date, including, without
limitation, as a result of an optional prepayment of the principal portion of
Construction Loans that would otherwise be converted into Tranche C Term Loans
pursuant to Section 2.10(a), provided that in such event, the principal portion
of Construction Loans that would otherwise be converted into Tranche C Term
Loans shall be reduced prior to any reduction in the principal portion of the
Construction Loans that would otherwise be converted into Tranche B Term Loans.

     Section 2.4.  Types of Loans and Minimum Borrowing Amounts.  Borrowings of
Loans may be outstanding as either Base Rate Loans or Eurodollar Loans, as
selected by the Borrower pursuant to Section 2.5.  All Borrowings advanced on
the Initial Borrowing Date shall be advanced in Dollars as Base Rate Loans.
Each Borrowing of Base Rate Loans shall be in an amount of not less than
$1,000,000 and each Borrowing of Eurodollar Loans shall be in an amount of not
less than $5,000,000, unless such Borrowing is in a lesser amount as a result of
such Borrowing being the final Borrowing under the Tranche A Credit or the
Construction Credit.

     Section 2.5.  Manner of Borrowing.  (a) Notice to the Agent.  The Borrower
shall give notice to the Agent by no later than 12:00 noon (i) at least three
(3) Business Days before the date on which the Borrower requests the Lenders to
advance a Borrowing of Eurodollar Loans, and (ii) on the date the Borrower
requests the Lenders to advance a Borrowing of Base Rate Loans pursuant to a
duly executed Borrowing Request substantially in the form of Exhibit 2.5 (each a
"Borrowing Request").  The Loans included in each Borrowing shall bear interest
initially at the type of rate specified in the Borrowing Request with respect to
such Borrowing.  Thereafter, subject to Section 2.5(c), the Borrower may from
time to time elect to change or continue the type of interest rate borne by each
Borrowing or, subject to Section 2.4's minimum amount requirement for each
outstanding Borrowing, a portion thereof, as follows: (i) if such Borrowing is
of Eurodollar Loans, the Borrower may continue part or all of such Borrowing as
Eurodollar Loans for an Interest Period specified by the Borrower or convert
part or all of such Borrowing into Base Rate Loans on the last day of the
Interest Period applicable thereto, or the Borrower may earlier convert part or
all of such Borrowing into Base Rate Loans so long as it pays the breakage fees
and funding losses provided in Section 2.13; and (ii) if such Borrowing is of
Base Rate Loans, the Borrower may convert all or part of such Borrowing into
Eurodollar Loans for an Interest Period specified by the Borrower on any
Business Day.  The Borrower may select multiple Interest Periods for the Loans
constituting any particular Borrowing, provided that at no time shall the number
of different Interest Periods for outstanding Eurodollar Loans exceed twenty
(20) (it being understood for such purposes that (x) Interest Periods of the
same duration, but commencing on different dates, shall be counted as different
Interest Periods and (y) all Interest Periods commencing on the same date and of
the same duration shall be counted as one Interest Period regardless of the
number of Borrowings or Loans involved (except they shall count as different
Interest Periods if and to the extent Loans from different tranches are
involved). Notices of the continuation of a Borrowing of Eurodollar Loans for an
additional Interest Period or of the conversion of part or all of a Borrowing of
Eurodollar Loans into Base Rate Loans or of Base Rate Loans into Eurodollar
Loans must be given by no later than 12:00 noon at least three (3) Business Days
with respect to Eurodollar Loans before the date of the requested continuation
or conversion. The Borrower shall give such notices concerning the advance,
continuation, or conversion of a Borrowing by telephone or facsimile (which
notice shall be irrevocable once given and, if by telephone, shall be promptly
confirmed in writing) pursuant to a Borrowing Request which shall specify the
date of the requested advance, continuation or conversion (which shall be a
Business Day), the amount of the requested Borrowing, the Credit under which
such Borrowing is to be advanced, continued, or converted, the type of Loans to
comprise such new, continued or converted Borrowing and, if such Borrowing is to
be comprised of Eurodollar Loans, the Interest Period applicable thereto. The
Borrower agrees that the Agent may rely on any such telephonic or facsimile
notice given by any person it in good faith believes is an 

                                      -20-
<PAGE>
 
authorized representative of the Borrower without the necessity of independent
investigation and that, if any such notice by telephone conflicts with any
written confirmation, such telephonic notice shall govern if the Agent has acted
in reliance thereon.

     (b) Notice to the Lenders.  The Agent shall give prompt telephonic, telex
or facsimile notice to each Lender of any notice received pursuant to Section
2.5(a) relating to a Borrowing.  The Agent shall give notice to the Borrower and
each Lender under a Credit by like means of the interest rate applicable to each
Borrowing of Eurodollar Loans under such Credit (but, if such notice is given by
telephone, the Agent shall confirm such rate in writing) promptly after the
Agent has made such determination.

     (c) Borrower's Failure to Notify.  If the Borrower fails to give notice
pursuant to Section 2.5(a) of the continuation or conversion of any outstanding
principal amount of a Borrowing of Eurodollar Loans and has not notified the
Agent by 12:00 noon at least three (3) Business Days before the last day of the
Interest Period for any Borrowing of Eurodollar Loans that it intends to repay
such Borrowing with funds not borrowed hereunder, the Borrower shall be deemed
to have requested the continuation of such Borrowing as a Eurodollar Loan with
an Interest Period of one (1) month so long as no Event of Default shall have
occurred and be continuing or would occur as a result of such Borrowing but
otherwise disregarding the conditions to Borrowings set forth in Section 4.3.
Upon the occurrence and during the continuance of any Event of Default, (i) each
Eurodollar Loan will automatically, on the last day of the then existing
Interest Period therefor, convert into a Base Rate Loan and (ii) the obligation
of the Lenders to make or continue Eurodollar Loans or to convert Base Rate
Loans into Eurodollar Loans shall be suspended.

     (d) Disbursement of Loans.  Not later than 1:00 p.m. with respect to
Eurodollar Loans and 2:00 p.m. with respect to Base Rate Loans on the date of
any requested advance of a new Borrowing of Loans, each Lender, subject to all
other provisions hereof, shall make available its Loan comprising its ratable
share of such Borrowing in funds immediately available in New York, New York for
the benefit of the Agent and according to the disbursement instructions of the
Agent.  The Agent shall make the proceeds of each such Borrowing available in
immediately available funds to the Borrower (or as directed in writing by
Borrower) on such date.  In the event that any Lender does not make such amounts
available to the Agent by the time prescribed above, but such amount is received
later that day, such amount may be credited to the Borrower in the manner
described in the preceding sentence on the next Business Day (with interest on
such amount to begin accruing hereunder on such next Business Day) provided that
acceptance by the Borrower of any such late amount shall not be deemed a waiver
by the Borrower of any rights it may have against such Lender. No Lender shall
be responsible to the Borrower for any failure by another Lender to fund its
portion of a Borrowing, and no such failure by a Lender shall relieve any other
Lender from its obligation, if any, to fund its portion of a Borrowing.

     (e) Agent Reliance on Lender Funding.  Unless the Agent shall have been
notified by a Lender before the date (and time with respect to Base Rate Loans)
on which such Lender is scheduled to make payment to the Agent of the proceeds
of a Loan (which notice shall be effective upon receipt) that such Lender does
not intend to make such payment, the Agent may assume that such Lender has made
such payment when due and in reliance upon such assumption may (but shall not be
required to) make available to the Borrower the proceeds of the Loan to be made
by such Lender and, if any Lender has not in fact made such payment to the
Agent, such Lender shall, on demand, pay to the Agent the amount made available
to the Borrower attributable to such Lender together with interest thereon for
each day during the period commencing on the date such amount was made available
to the Borrower and ending on (but excluding) the date such Lender pays such
amount to the Agent at a rate per annum equal to the Agent's cost of funds.  If
such amount is not received from such Lender by the Agent immediately upon
demand, the Borrower will, on demand, repay to the Agent the proceeds of the
Loan attributable to such Lender 

                                      -21-
<PAGE>
 
with interest thereon at a rate per annum equal to the interest rate applicable
to the relevant Loan. Nothing in this subsection shall be deemed to relieve any
Lender from its obligation to fund its Commitments hereunder or to prejudice any
rights which the Borrower may have against any Lender as a result of any default
by such Lender hereunder.


     (f) Conversion.  If the Borrower shall elect to convert any particular
Borrowing from one type of Loan to the other only in part, then, from and after
the date on which such conversion shall be effective, such particular Borrowing
shall, for all purposes of this Agreement (including, without limitation, for
purposes of subsequent application of this sentence) be deemed to instead
constitute two Borrowings (each originally advanced on the same date as such
particular Borrowing), one comprised of (subject to subsequent conversion in
accordance with this Agreement) Eurodollar Loans in an aggregate principal
amount equal to the portion of such Borrowing so elected by the Borrower to be
comprised of Eurodollar Loans and the second comprised of (subject to subsequent
conversion in accordance with this Agreement) Base Rate Loans in an aggregate
principal amount equal to the portion of such particular Borrowing so elected by
the Borrower to be comprised of Base Rate Loans.  If the Borrower shall elect to
have multiple Interest Periods apply to any particular Borrowing comprised of
Eurodollar Loans, then, from and after the date such multiple Interest Periods
commence, such particular Borrowing shall, for all purposes of this Agreement
(including, without limitation, for purposes of subsequent application of this
sentence), be deemed to constitute a number of separate Borrowings (each
originally advanced on the same date as such particular Borrowing) equal to the
number of, and corresponding to, the different Interest Periods so elected, each
such deemed separate Borrowing corresponding to a particular selected Interest
Period comprised of (subject to subsequent conversion in accordance with this
Agreement) Eurodollar Loans in an aggregate principal amount equal to the
portion of such particular Borrowing so elected by the Borrower to have such
Interest Period.  This Section 2.5(f) shall be applied appropriately in the
event that the Borrower shall make the elections described in the two preceding
sentences at the same time with respect to the same particular Borrowing.
Nothing in this Section 2.5(f) shall affect the categorization of a Loan as a
Tranche A Loan, a Construction Loan, a Tranche B Term Loan or a Tranche C Term
Loan.

     Section 2.6.  Interest Periods.  As provided in Section 2.5(a), at the time
of each request for the advance or continuation of, or conversion into, a
Borrowing of Eurodollar Loans, the Borrower shall select an Interest Period(s)
applicable to such Loans from among the available options subject to the
limitations in Section 2.5(a); provided, however, that:

     (i) the Borrower may not select an Interest Period for a Borrowing of Loans
that extends beyond the applicable Maturity Date therefor, provided that the
Borrower may select an Interest Period for a Borrowing of Construction Loans
that extends beyond the Conversion Date then anticipated by the Borrower so long
as the Borrower confirms its agreement, at the time of such selection, to pay
the breakage fees and funding losses provided in Section 2.13 in the event the
Construction Loans are not converted into Term Loans;

     (ii) the Borrower may not select an Interest Period for a Borrowing of Term
Loans that would end after an Amortization Date if, as a result, the aggregate
principal amount of Term Loans scheduled to be outstanding with Interest Periods
ending after such Amortization Date would exceed the principal amount of Term
Loans permitted (disregarding Section 2.11(b)) to be outstanding after such
Amortization Date unless the Borrower confirms, at the time of such selection,
its agreement to pay the breakage fees and funding losses provided in Section
2.13;

     (iii)  whenever the last day of any Interest Period would otherwise be a
day that is not a Business Day, the last day of such Interest Period shall
either be (i) extended to the next succeeding Business Day, 

                                      -22-
<PAGE>
 
or (ii) reduced to the immediately preceding Business Day if the next succeeding
Business Day is in the next calendar month; and

     (iv) for purposes of determining an Interest Period, a month means a period
starting on one day in a calendar month and ending on the numerically
corresponding day in the next calendar month; provided, however, that if there
is no such numerically corresponding day in the month in which an Interest
Period is to end or if an Interest Period begins on the last Business Day of a
calendar month, then such Interest Period shall end on the last Business Day of
the calendar month in which such Interest Period is to end.

     Section 2.7.  Maturity of Loans.

     (a) Tranche A Loans.  Each Tranche A Loan shall mature and become due and
payable by the Borrower on the applicable Maturity Date for such Loans.

     (b) Construction Loans.  Each Construction Loan shall be due and payable by
the Borrower on the Conversion Date unless the conditions precedent set forth in
Section 4.4 shall have been satisfied or waived in full and the Borrower shall
have timely elected to convert the Construction Loans, or any portion thereof,
into Term Loans, in which event the Construction Loans, or such portion thereof,
as applicable, shall convert into Tranche B Term Loans and Tranche C Term Loans
as provided in Section 2.3.

     (c)  Term Loans.

          (i) Initial Determination of Sizing of Term Loans and Amortization
     Dates.  The Borrower shall repay a portion of the Tranche B Term Loans and
     a portion of the Tranche C Term Loans on the first Business Day ending on
     or after the fifteenth day of each calendar month, commencing the first
     Business Day ending on or after the fifteenth day of the first calendar
     month after the Conversion Date (each an "Amortization Date").  The
     Borrower shall repay in full the unpaid principal amount of the Tranche B
     Term Loans and the Tranche C Term Loans on the applicable Maturity Date for
     such Loans.  By ten (10) Business Days before the Conversion Date (and/or
     the anticipated date of refinancing the Construction Loans (in whole or in
     part) by an anticipated Lease Securitization Facility) (the "Sizing Date"),
     the Agent shall, after consultation with the Borrower and the Guarantor,
     reasonably determine the relative size of each of the Tranche B Term Loans
     and the Tranche C Term Loans and the principal amount of each required
     payment of each of the Tranche B Term Loans and the Tranche C Term Loans on
     each Amortization Date, in each case using substantially the same
     methodology as used in preparing the model attached as Exhibit 2.7 (the
     "Sizing Methodology"), taking into account (without limitation) (v) any
     change in the date of Acceptance of the Rig from June 30, 1997, and in the
     date of Acceptance of the Drillship from June 30, 1998, (w) the outstanding
     principal balance of the Term Loans at the Conversion Date (limited to a
     maximum of $271,500,000), (x) the Amoco Contract Selection, (y) the actual
     all-in interest rates under the Interest Rate Protection Agreement entered
     into by the Borrower and the true-up costs determined pursuant to Section
     6.10 after giving effect for the pre-Conversion Date true-up required
     therein, plus the appropriate Applicable Margins, and (z) any change in the
     Conversion Date from June 30, 1998. The required amortization payments for
     the Tranche B Term Loans shall be such that the Tranche B Term Loans (after
     taking into account the Fixed Operating Expenses attributable to each of
     the Rig and the Drillship) are fully amortized to $0 by the date the last
     payment of the stated operating dayrate or cancellation fee is scheduled to
     be made by Amoco to the Borrower under either of the Amoco Contracts (as of
     the Conversion

                                      -23-
<PAGE>
 
     Date and excluding any portion of the term of the Amoco Rig Contract which
     Amoco may cancel without paying a cancellation fee).

          (ii) Initial Determination of Transocean Contract Payments.  By the
     Sizing Date, the Agent shall also, after consultation with the Borrower and
     the Guarantor, reasonably determine the rent which shall be payable under
     each of the Transocean Contracts using the Sizing Methodology such that the
     Tranche C Term Loans (after taking into account the Fixed Operating
     Expenses and any possible cancellation fees which may be paid by Amoco with
     respect to each of the Rig and the Drillship and disregarding the portion
     of the Tranche C Term Loans attributable to the Transocean Drillship
     Differential) shall be fully amortized to $0 on the date five (5) years
     after the Conversion Date and allocating the necessary cash flow stream
     between the Transocean Rig Contract and the Transocean Drillship Contract
     using the same factor to reduce each of the applicable stated operating
     dayrates in effect on the Conversion Date under the Amoco Rig Contract and
     the Amoco Drillship Contract, respectively, to calculate the rent to be
     payable under each of the Transocean Rig Contract and the Transocean
     Drillship Contract, respectively.

          (iii)  Initial Allocation of Amortization Payments between Rig and
     Drillship.  By the Sizing Date, the Agent shall also, after consultation
     with the Borrower and the Guarantor, allocate the amortization payments
     required on each Amortization Date between the Rig and the Drillship, such
     allocation to be used in the event the Borrower shall make a mandatory
     prepayment of its Obligations as a result of a Vessel Financing Termination
     or an Event of Loss pursuant to the provision of Section 2.10(b) or
     2.11(c), as applicable.  The allocation shall be based upon the Sizing
     Methodology and the anticipated cash flow stream from the Amoco Drillship
     Contract plus the Transocean Drillship Differential plus the Transocean
     Drillship Contract or any Substitute Drillship Contract with respect to the
     Drillship and from the Amoco Rig Contract plus the Transocean Rig Contract
     or any Substitute Rig Contract with respect to the Rig, in each case after
     taking into account Fixed Operating Expenses and any possible cancellation
     fees which may be paid by Amoco with respect to each of the Rig and the
     Drillship.

          (iv) Reset of Sizing of Term Loans, Amortization Payments, Transocean
     Contract Payments and Allocation of Amortization Payments between Rig and
     Drillship.  The Agent shall, after consultation with the Borrower and the
     Guarantor, reset the sizing of the Tranche B Term Loans and the Tranche C
     Term Loans (keeping the aggregate principal amount of the Term Loans
     outstanding the same), the amortization payments for the Tranche B Term
     Loans and the Tranche C Term Loans, the rent payable under the Transocean
     Contracts, to the extent any such contract remains effective pursuant to
     the terms hereof, and the allocation of payments required on each
     Amortization Date between the Rig and the Drillship (all in accordance with
     the Sizing Methodology) within ten (10) Business Days from when (i) the
     Substitution Date with respect to a Substitute Contract shall have
     occurred, (ii) the Borrower provides evidence reasonably satisfactory to
     the Agent that Amoco is then required to pay under the terms and provisions
     of the applicable Amoco Contract the stated operating dayrate contained
     therein as opposed to any cancellation fee for the remaining term of such
     contract (or, if earlier, until the Maturity Date for the Term Loans),
     (iii) if Amoco selects in the Amoco Contract Selection a minimum aggregate
     term for the Amoco Drilling Contracts of a total of ten (10) years or more
     with a minimum of five (5) years for each Amoco Drilling Contract and
     thereafter does not cancel the entire fourth year, the entire fifth year or
     the entire last eighteen (18) months, respectively, of the term of the
     Amoco Rig Contract (pursuant to the right to do so with no obligation to
     pay a cancellation fee (the "Free Cancellation Right")) prior to the
     commencement of the fourth year, fifth year or such last eighteen (18)
     month period, respectively, of the term of the Amoco Rig Contract, or (iv)
     if Amoco extends the term of either Amoco Contract beyond the term thereof
     in effect on the Conversion Date. The

                                      -24-
<PAGE>
 
     Borrower shall provide written notice to the Agent of any event described
     in (iii) or (iv) above, and the Agent shall promptly provide any such
     notice to all Lenders.  The Agent shall, after consultation with the
     Borrower and the Guarantor, also reset downwards the rent payable under the
     Transocean Contracts, to the extent any such contract remains effective
     pursuant to the terms hereof, within ten (10) Business Days from any
     prepayment of the Tranche C Term Loans pursuant to Section 2.10 or 2.11,
     all in accordance with the Sizing Methodology and the principles set forth
     in Section 2.7(c)(ii).

          (v) Schedule.  In connection with such determinations described in
     (i), (ii) and (iii) above, the Agent, after consultation with the Borrower
     and the Guarantor, shall create a schedule of the required amortization
     payments on each Amortization Date, the rent payable under each of the
     Transocean Contracts and the allocated amortization payments with respect
     to each of the Drillship and the Rig, the latter schedule to be used only
     pursuant to Sections 2.10(b) and 2.11(c).  By way of illustration only, and
     subject to adjustment pursuant to the Sizing Methodology, the attached
     Schedule 2.7A contains the Term Loan required principal amortization
     payments if Amoco selects three (3) year drilling contracts on each of the
     Drillship and the Rig.  In connection with any determinations described in
     (iv) above, the Agent, after consultation with the Borrower, shall reset
     such schedule, as appropriate.  The Agent shall promptly send such schedule
     (and any reset schedule) to the Borrower and all Lenders (labelled as
     Schedule 2.7A, Schedule 2.7B or amended Schedule 2.7B, as the case may be)
     and such schedule (or such reset schedule) shall thereupon be deemed to be
     a part of and incorporated into this Agreement on the tenth day after such
     schedule (or such reset schedule) is sent by the Agent to each Lender, the
     Borrower and the Guarantor.

          (vi) The parties specifically acknowledge and agree that the Borrower
     may give notice of an anticipated Conversion Date even if it intends, on
     the date which otherwise would be the Conversion Date, to repay the
     Construction Loans in whole and enter into a Lease Securitization Facility
     (and that the Borrower may, notwithstanding having given such notice, repay
     the Construction Loans in whole on the date which otherwise would be the
     Conversion Date), and it is intended that even if the Borrower so intends
     to repay the Construction Loans in whole notwithstanding the giving of a
     notice of an anticipated Conversion Date, the Agent nonetheless will
     proceed with its determinations under clauses (i), (ii), (iii) and (v)
     above as such determinations will be of relevance under a Lease
     Securitization Facility (and as it is possible that for any reason funds
     may not be available under a Lease Securitization Facility as anticipated).

     Section 2.8.  Applicable Interest Rates.  (a) Base Rate Loans.  Each Base
Rate Loan shall bear interest (computed on the basis of a 365/366-day year and
actual days elapsed excluding the date of repayment) on the unpaid principal
amount thereof from the date such Loan is made until maturity (whether by
acceleration or otherwise) or conversion to a Eurodollar Loan, at a rate per
annum equal to the lesser of (i) the Highest Lawful Rate, or (ii) the Base Rate
from time to time in effect, payable on each Interest Payment Date for such Loan
and at maturity (whether by acceleration or otherwise).

     (b) Eurodollar Loans.  Each Eurodollar Loan shall bear interest (computed
on the basis of a 360-day year and actual days elapsed, excluding the date of
repayment) on the unpaid principal amount thereof from the date such Loan is
made until maturity (whether by acceleration or otherwise) or conversion to a
Base Rate Loan at a rate per annum equal to the lesser of (i) the Highest Lawful
Rate, or (ii) the sum of Adjusted LIBOR plus the Applicable Margin, payable on
each Interest Payment Date for such Loan and at maturity (whether by
acceleration or otherwise) or conversion to a Base Rate Loan.

                                      -25-
<PAGE>
 
     (c) Rate Determinations.  The Agent shall determine each interest rate
applicable to the Loans hereunder insofar as such interest rate involves a
determination of Adjusted LIBOR and such determination shall be conclusive and
binding except in the case of the Agent's manifest error or willful misconduct.
The Agent shall promptly give notice to the Borrower and each Lender of each
determination of Adjusted LIBOR with respect to each Eurodollar Loan.

     Section 2.9.  Default Rate.  If any payment of principal on any Loan is not
made when due after the expiration of the grace period therefor provided in
Section 7.1(a) (whether by acceleration or otherwise), such Loan shall bear
interest (computed on the basis of a year of 360, 365 or 366 days, as
applicable, and actual days elapsed) after such grace period expires until such
principal then due is paid in full, payable on demand, at a rate per annum equal
to:

     (i) for any Base Rate Loan the lesser of (i) the Highest Lawful Rate, or
(ii) the sum of two percent (2%) per annum plus the Base Rate from time to time
in effect (but not less than the Base Rate in effect at maturity); and

     (ii) for any Eurodollar Loan the lesser of (i) the Highest Lawful Rate, or
(ii) the sum of two percent (2%) per annum plus the rate of interest in effect
thereon at the time of such default until the end of the Interest Period for
such Loan and, thereafter, at a rate per annum equal to the sum of two percent
(2%) per annum plus the Base Rate from time to time in effect (but not less than
the Base Rate in effect at maturity).

It is the intention of the Agent and the Lenders to conform strictly to usury
laws applicable to them.  Accordingly, if the transactions contemplated hereby
or the Loans would be usurious as to any of the Lenders under laws applicable to
it (including the laws of the United States of America and the State of New York
or any other jurisdiction whose laws may be mandatorily applicable to such
Lender notwithstanding the other provisions of this Agreement, the Notes or any
other Credit Document), then, in that event, notwithstanding anything to the
contrary in this Agreement, the Notes or any other Credit Document, it is agreed
as follows:  (i) the aggregate of all consideration which constitutes interest
under laws applicable to such Lender that is contracted for, taken, reserved,
charged or received by such Lender under this Agreement, the Notes or any other
Credit Document or otherwise shall under no circumstances exceed the Highest
Lawful Rate, and any excess shall be credited by such Lender on the principal
amount of the Notes (or, if the principal amount of the Notes shall have been
paid in full, refunded by such Lender to the Borrower); (ii) in the event that
the maturity of the Notes is accelerated by reason of an election of the holder
or holders thereof resulting from any Event of Default or otherwise, or in the
event of any required or permitted prepayment, then such consideration that
constitutes interest under laws applicable to such Lender may never include more
than the Highest Lawful Rate, and excess interest, if any, provided for in this
Agreement, the Notes, any other Credit Document or otherwise shall be
automatically canceled by such Lender as of the date of such acceleration or
prepayment and, if theretofore paid, shall be credited by such Lender on the
principal amount of the Notes (or if the principal amount of the Notes shall
have been paid in full, refunded by such Lender to the Borrower); and (iii) if
at any time the interest provided hereunder, together with any other fees
payable pursuant to this Agreement, the Notes or any other Credit Document and
deemed interest under applicable law, exceeds the amount that would have accrued
at the Highest Lawful Rate, the amount of interest and any such fees to accrue
to such Lender hereunder and thereunder shall be limited to the amount which
would have accrued at the Highest Lawful Rate, but any subsequent reductions
shall not reduce the interest to accrue to such Lender hereunder and thereunder
below the Highest Lawful Rate until the total amount of interest accrued
pursuant hereto and thereto and such fees deemed to be interest equals the
amount of interest which would have accrued to such Lender if a varying rate per
annum equal to the interest hereunder had at all times been in effect plus the
amount of fees which would have been received but for the effect of this Section
2.9. To the extent that Article

                                      -26-
<PAGE>
 
5069-1.04 of the Texas Revised Civil Statutes is relevant to the Agent
and the Lenders for the purpose of determining the Highest Lawful Rate, the
Agent and the Lenders hereby elect to determine the applicable rate ceiling
under such Article by the indicated (weekly) rate ceiling from time to time in
effect, subject to their right subsequently to change such method in accordance
with applicable law.  In the event the Loans are paid in full by the Borrower
prior to the full stated term of the Loans and the interest received for the
actual period of the existence of the Loans exceeds the Highest Lawful Rate, the
Lenders shall refund to the Borrower the amount of the excess or shall credit
the amount of the excess against amounts owing under the Loans and none of the
Agent or the Lenders shall be subject to any of the penalties provided by law
for contracting for, taking, reserving, charging or receiving interest in excess
of the Highest Lawful Rate.

     Section 2.10.  Optional Prepayments.  (a) Optional Prepayments other than
as a result of Vessel Financing Termination.  The Borrower shall have the
privilege of prepaying Base Rate Loans without premium or penalty at any time in
whole or at any time and from time to time in part (but, if in part, then in an
amount which is equal to or greater than $1,000,000); provided, however, that
the Borrower shall have given notice of such prepayment to the Agent (which
shall in turn provide such notice promptly to the Lenders) no later than 12:00
noon on the date of such prepayment.  The Borrower shall have the privilege of
prepaying Eurodollar Loans (i) without premium or penalty in whole or in part
(but, if in part, then in an amount which is equal to or greater than
$5,000,000) only on the last Business Day of an Interest Period for such Loan,
and (ii) at any other time so long as the breakage fees and funding losses then
due pursuant to Section 2.13 are paid; provided, however, that the Borrower
shall have given notice of such prepayment to the Agent (which shall in turn
provide such notice promptly to the Lenders) no later than 11:00 a.m. at least
three (3) Business Days before the last Business Day of such Interest Period or
the proposed prepayment date.  Each such optional payment shall be accompanied
by a payment of all accrued and unpaid interest on the Loans prepaid and any
applicable breakage fees and funding losses then due pursuant to Section 2.13.
Borrower shall also pay any "true-up" costs and expenses payable to any Swap
Parties as a result of such prepayment under the Interest Rate Protection
Agreement as required pursuant to Section 6.10.  Optional prepayments, other
than as a result of a Vessel Financing Termination, shall be applied (i) to the
Construction Loans (first to the portion thereof that would not be able to be
converted to Term Loans on the Conversation Date pursuant to the terms hereof,
then to the portion that would otherwise be converted into Tranche C Loans on
the Conversion Date, pro rata, and then to the remaining portion thereof) or the
remaining payments of the Tranche C Term Loans, if any are then outstanding, in
inverse order of maturity, and then (ii) to the remaining payments of the
Tranche B Term Loans, if any are then outstanding, in inverse order of maturity,
and (iii) then to the outstanding balance of the Tranche A Loans; provided that
if the Borrower prepays all of the Construction Loans that would otherwise be
converted into Tranche C Loans on or before the Conversion Date, then any
subsequent optional prepayments pursuant to this Section 2.10(a) shall be
applied to the remaining payments of the Tranche B Term Loans, pro rata.
Amounts prepaid on the Loans may not be reborrowed.

     (b)  Vessel Financing Termination.

          (i) Notice.  The Borrower may at any time elect to terminate the
     financing arrangements provided for in this Agreement and the other Credit
     Documents with respect to either of the Drillship or the Rig for any reason
     whatsoever (a "Vessel Financing Termination").  The Borrower shall give the
     Agent at least three (3) Business Days' notice of the date on which it
     intends to effect a Vessel Financing Termination and the vessel affected
     thereby.  The Agent shall promptly provide any such notice to the Lenders.

          (ii) Mandatory Prepayment.  In order to effect a Vessel Financing
     Termination on the date specified therefor, the Borrower shall (x) make a
     principal prepayment of either (I) the 

                                      -27-
<PAGE>
 
     Construction Loans in an amount equal to the aggregate of the Construction
     Loans hereunder used to construct the Drillship (up to a maximum amount of
     $250,000,000 plus capitalized interest thereon) or to purchase and upgrade
     the Rig (up to a maximum amount of $80,000,000 plus capitalized interest
     thereon), as applicable (the "Financed Amount"), as demonstrated to the
     reasonable satisfaction of the Agent, or (II) the Term Loans in an amount
     equal to the sum of the then unpaid portion of each remaining Drillship
     amortization payment or each remaining Rig amortization payment, as the
     case may be, as reflected on Schedule 2.7A, Schedule 2.7B or amended
     Schedule 2.7B, as applicable (the "Vessel Amortization Payments"), and (y)
     after the Conversion Date and if any LSF Loans are then outstanding, make a
     principal prepayment of the LSF Loans in an amount equal to the LSF Vessel
     Amortization Payments of the Drillship or the LSF Vessel Amortization
     Payments of the Rig, as applicable. The Borrower shall also pay any "true-
     up" costs and expenses payable to any Swap Parties as a result of such
     prepayment under the Interest Rate Protection Agreement as required
     pursuant to Section 6.10. Each such prepayment of the Loans shall be
     determined, and applied to the Construction Loans or to the required Vessel
     Amortization Payments, as applicable, after giving effect to any prior
     prepayment of the Borrower's Obligations hereunder as provided herein.

          (iii)  Allocation of Prepayments to Financed Amount and Vessel
     Amortization Payments.  Any optional prepayment of the Loans pursuant to
     Section 2.10(a) that is allocated to the Construction Loans shall be deemed
     to reduce the Financed Amount with respect to each of the Drillship and the
     Rig (in an aggregate amount equal to such allocation to the Construction
     Loans) by the amount thereof that would otherwise be converted into Tranche
     C Loans with respect to each vessel on the Conversion Date, pro rata, and
     then to the remaining Financed Amount of each vessel, ratably according to
     their relative remaining sizes (or, if the Amoco Contract Selection has not
     yet been made, ratably according to the relative sizes of such Financed
     Amounts at the time).  Any optional prepayment of the Loans pursuant to
     Section 2.11 (d) that is allocated to the Construction Loans shall be
     deemed to reduce the Financed Amount with respect to the affected vessel in
     an amount equal to such allocation to the Construction Loans.  Any optional
     or mandatory prepayment of the Term Loans pursuant to Section 2.10(a),
     2.11(b), or (except as otherwise expressly provided therein) 2.11(d) shall,
     with respect to each particular remaining Tranche B Term Loan or Tranche C
     Term Loan payment to which such prepayment is allocated pursuant to such
     provisions, be further suballocated between the two Vessel Amortization
     Payments comprising each such Tranche B or Tranche C Term Loan payment,
     ratably according to the amount of each such Vessel Amortization Payment.

     Section 2.11.  Mandatory Prepayments of Loans.  (a)  Overfunding.  If the
aggregate principal amount of outstanding Tranche A Loans exceeds the Tranche A
Credit Commitment Amount then in effect, or if the aggregate principal amount of
Construction Loans or of Tranche B Term Loans and Tranche C Term Loans exceeds
the Construction Credit Commitment Amount then in effect, the Borrower shall,
immediately and without notice or demand, pay the amount of such excess to the
Agent for the ratable benefit of the Lenders as a prepayment of the Tranche A
Loans, the Construction Loans or the Tranche B Term Loans and the Tranche C Term
Loans, as applicable.  Any mandatory prepayment of Loans pursuant hereto shall
not be limited by the notice provision for prepayments set forth in Section
2.10, but immediately upon determining the need to make any such prepayment, the
Borrower shall notify the Agent (which shall in turn provide such notice
promptly to the Lenders) of such required prepayment and of the identity of the
particular Loans being prepaid.  Each such prepayment shall be accompanied by a
payment of all accrued and unpaid interest on the Loans prepaid and any
applicable breakage fees and funding losses then due pursuant to Section 2.13.

                                      -28-
<PAGE>
 
     (b) Excess Cash Flow.  On each Amortization Date after the Conversion Date,
the Borrower shall make a mandatory prepayment of the Term Loans (which
mandatory prepayment shall be applied in inverse order of maturity to the
remaining payments of the Tranche C Term Loans and then to the remaining
payments of the Tranche B Term Loans) in an amount equal to fifty percent (50%)
of Excess Cash Flow received during the preceding calendar month.  On each such
date, the Borrower shall provide a report to the Agent from a financial officer
of the Borrower showing in reasonable detail the Excess Cash Flow calculation
for the applicable period, which report the Agent shall in turn provide to the
Lenders.  Amounts prepaid under the Term Loans may not be reborrowed.

     (c) Event of Loss.  Within three (3) days of receipt by the Borrower, the
Guarantor, the Agent, the Collateral Agent or any of the Lenders of any casualty
insurance proceeds or any condemnation or other similar proceeds from any
governmental authority or any other Person, from any Event of Loss (the
"Insurance Receipt Date"), the Borrower may, upon written notice to the Agent
(who shall promptly provide such notice to the Lenders), elect to reconstruct
the Drillship or the Rig, as applicable, with the Event of Loss Proceeds so long
as (i) (x) if such Event of Loss occurs before the Conversion Date, such
reconstruction can be completed before the Conversion Date as reasonably
determined by the Borrower at such time and as demonstrated to the reasonable
satisfaction of the Agent, or (y) if such Event of Loss occurs after the
Conversion Date, such reconstruction can be completed within eighteen (18)
months from the date of such Event of Loss, as reasonably determined by the
Borrower at such time and as demonstrated to the reasonable satisfaction of the
Agent, in which event all Event of Loss Proceeds shall be segregated and held by
the Collateral Agent and made available by the Collateral Agent to the Borrower
for such purpose, using contractors, plans and specifications and methods
substantially in accordance with the Functional Requirements as reasonably
satisfactory to the Agent and the Majority Lenders, and for the payment of the
Obligations, any LSF Obligations and the Swap Obligations, (ii) such Event of
Loss has not caused or is not reasonably likely to cause either of the Amoco
Contracts or any Substitute Contracts to terminate or cancel (with no obligation
to pay a cancellation fee and other than pursuant to the Free Cancellation
Right) and Amoco or such substitute contracting party, as applicable, provides
written confirmation to the Agent that it will continue to lease the applicable
vessel at the end of such reconstruction period pursuant and subject to the
terms of such applicable contract for the full stated term thereof, (iii) the
Collateral Agent is provided a security interest in any construction contract
and any letter of credit or other collateral provided to the Borrower or the
Guarantor in connection therewith on terms substantially similar to the
applicable Security Documents and otherwise as reasonably satisfactory to the
Agent, (iv) the Guarantor executes and delivers a new performance guaranty of
the reconstruction thereof containing terms substantially similar to the
applicable portions of the Transocean Performance Guaranty and otherwise as
reasonably satisfactory to the Agent, (v) the Borrower shall be able to obtain
loss of hire insurance for such vessel after the reconstruction period therefor
as then reasonably determined by the Borrower and as demonstrated to the
reasonable satisfaction of the Agent, and (vi) the Borrower shall demonstrate to
the reasonable satisfaction of the Agent that it shall be able to timely pay its
Obligations hereunder and any "true-up" costs and expenses payable to any Swap
Parties as a result of such Event of Loss and such reasonably determined
reconstruction period under the Interest Rate Protection Agreement as required
pursuant to Section 6.10 and no Default or Event of Default shall have occurred
and be continuing. If the Borrower elects not to, or is unable pursuant to the
terms and conditions hereof to, reconstruct or repair the applicable vessel with
any such Event of Loss Proceeds, the Borrower shall within three (3) days of the
Insurance Receipt Date, make a mandatory principal prepayment of (i) either (x)
prior to the Conversion Date, the Financed Amount with respect to the applicable
vessel, or (y) the Vessel Amortization Payments of the Drillship or the Vessel
Amortization Payments of the Rig, as applicable, in the case of both (x) and
(y), after giving effect to any prior prepayments of the Borrower's Obligations
hereunder as provided herein, and (ii) after the Conversion Date and if any LSF
Loans are then outstanding, make a principal prepayment of the LSF Loans in an
amount equal to the LSF Vessel Amortization Payments of the Drillship or the LSF
Amortization Payments of the Rig, as applicable. Each

                                      -29-
<PAGE>
 
such mandatory payment shall be accompanied by a payment of all accrued and
unpaid interest on the Loans prepaid and any applicable breakage fees and
funding losses pursuant to Section 2.13. The Borrower shall also pay any "true-
up" costs and expenses payable to any Swap Parties as a result of such
prepayment under the Interest Rate Protection Agreement as required pursuant to
Section 6.10. Each such mandatory prepayment shall be applied to the
Construction Loans and then to the Tranche A Loans, or to the required Vessel
Amortization Payments with respect to the vessel the subject of such Event of
Loss, as applicable. Any Event of Loss Proceeds received at any time by the
Borrower, the Guarantor, the Agent, the Collateral Agent or any of the Lenders
shall (i) if received by any Person other than the Collateral Agent, forthwith
be turned over to the Collateral Agent, or (ii) if received by the Collateral
Agent (or turned over to the Collateral Agent pursuant to clause (i)), be
applied as directed by the Borrower from time to time to the payment of
Obligations (including without limitation to the mandatory prepayment provided
for in this Section 2.11(c)), to the payment of LSF Obligations (including,
without limitation, to any mandatory prepayment of LSF Loans required to be made
under the Lease Securitization Facility as a result of such Event of Loss), if
any, to the payment of Swap Obligations or to the payment of costs incurred in
connection with the reconstruction of the Drillship or the Rig, as applicable,
if undertaken in accordance with this Section 2.11(c). Any Event of Loss
Proceeds held by the Collateral Agent (i) if the Borrower elects to undertake
the reconstruction of the Drillship or the Rig, as applicable, after such
reconstruction is completed as evidenced by a certificate from the Borrower
certifying the completion of such reconstruction in form and substance
reasonably satisfactory to the Agent and an Amoco Letter of Acceptance with
respect thereto, or (ii) if the Borrower elects not to undertake the
reconstruction of the Drillship or the Rig, as applicable, after the partial
mandatory prepayment of (x) the Loans provided for in this Section 2.11(c), (y)
any partial mandatory prepayment of the LSF Loans, if any, required to be made
under the Lease Securitization Facility as a result of such Event of Loss is
made and (z) after payment of any "true-up" costs and expenses payable by the
Borrower as a result of such prepayment under the Interest Rate Protection
Agreement as required pursuant to Section 6.10 as a result of such Event of
Loss, shall be released by the Collateral Agent to the Borrower upon demand.

     (d) Casualty Event.  The Borrower shall use any Casualty Proceeds
aggregating less than $15,000,000 from any Casualty Event to repair the
Drillship or the Rig, as applicable, so long as no Default or Event of Default
shall have occurred and be continuing; provided that the Collateral Agent shall
hold any such Casualty Proceeds so long as a Default or an Event of Default
shall have occurred and then be continuing and (i) shall release such Casualty
Proceeds to the Borrower to be used for such purpose when and if such Default or
Event of Default shall have been cured or waived pursuant to the terms hereof or
(ii) if so directed by the Borrower, shall apply such Casualty Proceeds against
the Obligations, LSF Obligations and/or Swap Obligations, as set forth below in
this Section 2.11(d). The Borrower shall use any Casualty Proceeds aggregating
$15,000,000 or more to repair the Drillship or the Rig, as applicable, using
such contractors, plans and specifications and methods substantially in
accordance with the Functional Requirements as reasonably determined by the
Borrower so long as (i) (x) if such Casualty Event occurs before the Conversion
Date, such repair can be completed before the Conversion Date as reasonably
determined by the Borrower at such time, or (y) if such Casualty Event occurs
after the Conversion Date, such repair can be completed within eighteen (18)
months from the date of such Casualty Event as reasonably determined by the
Borrower at such time, (ii) such Casualty Event shall not have caused, or is not
reasonably likely to cause, either of the Amoco Contracts or the Substitute
Contracts, if any, to terminate or cancel (with no obligation to pay a
cancellation fee and other than pursuant to the Free Cancellation Right), (iii)
if such Casualty Event occurs after the Conversion Date, the Guarantor executes
and delivers a new performance guaranty of the repair thereof containing terms
substantially similar to the applicable portions of the Transocean Performance
Guaranty and otherwise as reasonably satisfactory to the Agent, provided that
the damages for failure to perform such guaranty shall be limited to the amount
of the aggregate Casualty Proceeds received by the Borrower or the Guarantor
from such Casualty Event and such guaranty of repair shall be deemed satisfied
when Amoco or any other Person a party to a  

                                      -30-
<PAGE>
 
Substitute Contract, as applicable, shall have commenced making scheduled stated
operating dayrate payments with respect to the applicable vessel after such
repairs have been completed, and (iv) the Borrower shall demonstrate to the
reasonable satisfaction of the Agent that it shall be able to timely pay its
Obligations hereunder during the anticipated repair period as reasonably
determined by the Borrower, and any "true-up" costs and expenses payable to any
Swap Parties as a result of such Casualty Event and such repair period under the
Interest Rate Protection Agreement as required pursuant to Section 6.10 and no
Default or Event of Default shall have occurred and be continuing. If the
Borrower elects not to (for any Casualty Event whose Casualty Proceeds aggregate
more than $15,000,000), or is unable pursuant to the terms and conditions hereof
to, repair the applicable vessel with any such Casualty Proceeds, the Borrower
shall within three (3) days of receipt by the Borrower, the Guarantor, the
Agent, the Collateral Agent or any of the Lenders of any casualty insurance
proceeds or any condemnation or other similar proceeds from any governmental
authority or any other Person, make a mandatory principal prepayment of the
Loans and, if applicable, the LSF Loans, in an aggregate amount such that the
sum of the aggregate principal payment, plus the other amounts that will become
payable as a result of such mandatory prepayment as set forth in the following
two sentences and the corresponding provisions of the Lease Securitization
Facility, if any, equals the Casualty Proceeds. Each such mandatory prepayment
shall be accompanied by a payment of all accrued and unpaid interest on the
Loans prepaid and any applicable breakage fees and funding losses pursuant to
Section 2.13. The Borrower shall also pay any "true-up" costs and expenses
payable to any Swap Parties as a result of such prepayment under the Interest
Rate Protection Agreement as required pursuant to Section 6.10. Each such
prepayment shall be applied to the Construction Loans and then to the Tranche A
Loans, or, after the Conversion Date, (i) if the Amoco Contract or the
Substitute Contract, as applicable, for the vessel the subject of the Casualty
Event remains in effect, to the remaining payments of the Tranche C Term Loans
or the LSF Loans, as applicable, in inverse order of maturity and then to the
remaining payments of the Tranche B Term Loans, if any are then outstanding, in
inverse order of maturity, or (ii) if such contract does not remain in effect,
to the remaining Vessel Amortization Payments for the applicable vessel and the
"Vessel Amortization Payments" for the applicable vessel under the Lease
Securitization Facility, if applicable, ratably based on their aggregate
amounts, in inverse order of maturity. Any Casualty Proceeds received at any
time by the Borrower, the Guarantor, the Agent, the Collateral Agent or any of
the Lenders shall (i) if received by any Person other than the Collateral Agent,
forthwith be turned over to the Collateral Agent, or (ii) if received by the
Collateral Agent (or turned over to the Collateral Agent pursuant to clause
(i)), be applied as directed by the Borrower from time to time to the payment of
Obligations (including, without limitation, to the mandatory prepayment provided
for in this Section 2.11(d)), to the payment of LSF Obligations (including,
without limitation, to any mandatory prepayment of LSF Loans required to be made
under the Lease Securitization Facility as a result of such Casualty Event), if
any, to the payment of Swap Obligations or to the payment of costs incurred in
connection with the repair of the Drillship or the Rig, as applicable, if
undertaken in accordance with this Section 2.11(d). Any Casualty Proceeds held
by the Collateral Agent (i) if the Borrower elects to undertake the repair of
the Drillship or the Rig, as applicable, after such repair is completed as
evidenced by (x) a certificate from the Borrower certifying the completion of
such repair in form and substance reasonably satisfactory to the Agent, and (y)
prior to the Conversion Date, if the construction of the vessel is then
complete, an Amoco Letter of Acceptance with respect thereto, or (ii) if the
Borrower elects (for any Casualty Event whose Casualty Proceeds aggregate more
than $15,000,000) not to, or is unable pursuant to the terms and conditions
hereof to, undertake the repair of the Drillship or the Rig, as applicable,
after the partial mandatory prepayment of (x) the Loans provided for in this
Section 2.11(d) and (y) any partial mandatory prepayment of the LSF Loans, if
any, required to be made under the Lease Securitization Facility as a result of
such Casualty Event is made and after payment of any "true-up" costs and
expenses payable by the Borrower to any Swap Party as a result of such
prepayment under the Interest Rate Protection Agreement as required pursuant to
Section 6.10 as a result of such Casualty Event, shall be released by the
Collateral Agent to the Borrower upon demand.

                                      -31-
<PAGE>
 
     (e) "Sue and Labor" Reimbursement Insurance Proceeds.  The Collateral Agent
shall promptly turn over to the Guarantor any "sue and labor" reimbursement
expense payments received by it so long as (or when) no Default or Event of
Default shall have occurred and be continuing (or, if so directed by the
Guarantor, apply such payments against the Obligations, the LSF Obligations
and/or the Swap Obligations).

     (f) Conversion to Term Loans.  On the Conversion Date, the Borrower shall
make a mandatory prepayment of any amount by which the outstanding principal
balance of the Construction Loans exceeds $271,500,000.

     (g) Adjustments to Operative Documents.  Any term of this Agreement or any
other Security Document to the contrary notwithstanding, upon the making of
payments pursuant to Section 2.10(b)(ii) or 2.11(c), (i) the Construction Credit
Commitment Amount shall automatically be deemed to have been reduced by the
amount so prepaid, (ii) the Collateral Agent shall execute and deliver to the
Agent such instruments as are necessary to release the applicable vessel and any
Collateral related thereto from any Lien thereon under any Security Document,
and the Borrower and the Collateral Agent shall enter into such instruments as
are necessary to terminate the applicability of the Credit Documents to the
applicable vessel and any such related Collateral, (iii) without limitation of
clause (ii), if the Drillship is the applicable vessel, references herein to the
Drillship or to the Amoco Drillship Contract, the Transocean Drillship Contract,
the Substitute Drillship Contract, the Drillship Shipyard Construction Contract,
the Drillship O&M Contract, the Assignment of Bank Guarantees and any other
Credit Documents relating solely to the Drillship (collectively, the "Drillship
Documents"), other than references to any of the foregoing in Section 2.10(b) or
2.11(c) and other than specific references to the Drillship as the applicable
vessel pursuant to Section 2.10(b) or 2.11(c), as applicable, and except to the
extent otherwise expressly provided in provisions making specific reference to
this Section 2.11(g), shall be deemed to be deleted, references in the Credit
Documents that are not Drillship Documents to the Drillship or any of the
Drillship Documents, other than specific references therein to the Drillship as
the applicable vessel pursuant to Section 2.10(b) or 2.11(c), as applicable, and
except to the extent otherwise expressly provided in provisions making specific
reference to this Section 2.11(g), shall be deemed to be deleted, the Credit
Documents that are Drillship Documents shall be terminated and the Borrower
shall be free to act in its sole discretion with respect to the Drillship (and
related assets) and the Drillship Documents that are not Credit Documents, (v)
without limitation of clause (ii), if the Rig is the applicable vessel,
references herein to the Rig or to the Amoco Rig Contract, the Transocean Rig
Contract, the Substitute Rig Contract, the Rig Shipyard Construction Contract,
the Rig O&M Contract and any other Credit Documents relating solely to the Rig
(collectively, the "Rig Documents"), other than references to any of the
foregoing in Section 2.10(b) or 2.11(c), as applicable, and other than specific
references to the Rig as the applicable vessel pursuant to Section 2.10(b) or
2.11(c), as applicable, and except to the extent otherwise expressly provided in
provisions making specific reference to this Section 2.11(g), shall be deemed to
be deleted, references in the Credit Documents that are not Rig Documents to the
Rig or any of the Rig Documents, other than specific references therein to the
Rig as the applicable vessel pursuant to Section 2.10(b) or 2.11(c), as
applicable, and except to the extent otherwise expressly provided in provisions
making specific reference to this Section 2.11(g), shall be deemed to be
deleted, the Credit Documents that are Rig Documents shall be terminated and the
Borrower shall be free to act in its sole discretion with respect to the Rig
(and related assets) and the Rig Documents that are not Credit Documents, and
(vi) any amount in the Insurance Reserve with respect to such vessel as
determined pursuant to Section 6.6(c) shall be released by the Collateral Agent
to the Borrower.

     Section 2.12.  The Notes. (a) The Loans outstanding to the Borrower from
each Lender shall be evidenced by up to two (2) promissory notes of the Borrower
payable to such Lender in the forms of 

                                      -32-
<PAGE>
 
Exhibits 2.12A with respect to the Tranche A Loans (each a "Tranche A Note") and
2.12B with respect to the Construction Loans (each a "Construction Note"),
respectively (each a "Note").

     (b) Each holder of a Note shall record on its books and records or on a
schedule to its appropriate Note (and prior to any transfer of its Notes shall
endorse thereon or on schedules forming a part thereof appropriate notations to
evidence) the amount of each Loan outstanding from it to the Borrower, all
payments of principal and interest and the principal balance from time to time
outstanding thereon, the type of such Loan and, if a Eurodollar Loan, the
Interest Period and interest rate applicable thereto.  Such record, whether
shown on the books and records of a holder of a Note or on a schedule to its
Note, shall be prima facie evidence as to all such matters; provided, however,
that the failure of any holder to record any of the foregoing or any error in
any such record shall not limit or otherwise affect the obligation of the
Borrower to repay all Loans outstanding to it hereunder together with accrued
interest thereon.  At the request of any holder of a Note and upon such holder
tendering to the Borrower the Note to be replaced, the Borrower shall furnish a
new Note to such holder to replace any outstanding Note and at such time the
first notation appearing on the schedule on the reverse side of, or attached to,
such new Note shall set forth the aggregate unpaid principal amount of all
Loans, if any, then outstanding thereon.

     Section 2.13.  Breakage Fees.  If any Lender incurs any loss, cost or
expense (excluding loss of anticipated profits) by reason of the liquidation or
re-employment of deposits or other funds acquired by such Lender to fund or
maintain any Eurodollar Loan as a result of any of the following events other
than any such occurrence as a result of a change of circumstance described in
Section 8.1 or 8.2:

     (i) any payment, prepayment or conversion of a Eurodollar Loan on a date
other than the last day of its Interest Period (whether by acceleration,
optional prepayment, including, without limitation, as a result of a Vessel
Financing Termination, mandatory prepayment or otherwise);

     (ii) any failure to make a principal payment of a Eurodollar Loan on the
due date therefor; or

     (iii)  any failure by the Borrower to borrow, continue or prepay, or
convert to, a Eurodollar Loan on the date specified in a notice given pursuant
to Section 2.5(a) (other than by reason of a default of such Lender),

then the Borrower shall pay to such Lender such amount as will reimburse such
Lender for such loss, cost or expense.  If any Lender makes such a claim for
compensation, it shall provide to the Borrower a certificate executed by an
officer of such Lender setting forth the amount of such loss, cost or expense in
reasonable detail (including an explanation of the basis for and the computation
of such loss, cost or expense) no later than ninety (90) days after the event
giving rise to the claim for compensation, and the amounts shown on such
certificate shall be conclusive and binding absent manifest error.  Within ten
(10) days of receipt of such certificate, the Borrower shall pay directly to
such Lender such amount as will compensate such Lender for such loss, cost or
expense as provided herein, unless such Lender has failed to timely give notice
to the Borrower of such claim for compensation as provided herein, in which
event the Borrower shall not have any obligation to pay such claim.

     Section 2.14.  Commitment Terminations.  The Borrower shall have the right
at any time and from time to time, upon three (3) Business Days' prior and
irrevocable written notice to the Agent, to terminate or reduce the unused
portion of the Tranche A Credit Commitment or the Construction Credit Commitment
without premium or penalty, in whole or in part, any partial termination to be
(i) in an amount not less than $5,000,000 as determined by the Borrower and in
integral multiples of $1,000,000, and (ii) allocated ratably among the Lenders
in proportion to their respective Tranche A Credit Commitments and  Construction
Credit Commitments; provided that the Borrower shall first terminate or 

                                      -33-
<PAGE>
 
reduce the Construction Credit Commitment in full and then the Tranche A Credit
Commitment. The Agent shall give prompt notice to each Lender of any such
termination or reduction of any of the Commitments. Any termination of
Commitments pursuant to this Section 2.14 is permanent and may not be
reinstated.

SECTION 3.  FEES AND PAYMENTS.

     Section 3.1.  Fees.  (a) Commitment Fees.  For the period from the
Effective Date to and including the earlier of the Conversion Date and December
31, 1998, the Borrower shall pay to the Agent, for the ratable account of the
Lenders, a commitment fee with respect to each of the Tranche A Credit and the
Construction Credit (computed on a basis of a 360-day year and actual days
elapsed) on the average daily difference between (i) the Tranche A Credit
Commitment Amount and the aggregate of the Tranche A Loans and (ii) the
Construction Credit Commitment Amount and the aggregate of the Construction
Loans, respectively, such commitment fees to be calculated, for any day, at the
rate of 0.15% per annum for the Tranche A Credit and 0.375% per annum for the
Construction Credit.  Such fees shall be payable in arrears commencing on March
31, 1997, and on the last Business Day of each calendar quarter thereafter and
on the Conversion Date, unless any of the Commitments are terminated in whole on
an earlier date pursuant to the terms of Section 2.14, in which event the
commitment fees with respect thereto for the period to but not including the
date of such termination shall be paid in whole on the date of such termination.

     (b) Agent Fees.  The Borrower shall pay to the Agent the fees from time to
time agreed to by the Borrower and the Agent.

     Section 3.2.  Place and Application of Payments.  (a) All payments of
principal of and interest on the Loans and of all other amounts payable by the
Borrower under the Credit Documents shall be made by the Borrower to the Agent
by no later than 2:30 p.m. on the due date thereof at the office of the Agent in
New York, New York (or such other location in the United States of America as
the Agent may designate to the Borrower) for the benefit of the Lenders entitled
to such payments.  Any payments received by the Agent from the Borrower after
2:30 p.m. shall be deemed to have been received on the next Business Day.  The
Agent will, on the same day each payment is received or deemed to have been
received in accordance with this Section 3.2, cause to be distributed like funds
to each Lender owed an Obligation for which such payment was received, pro rata
based on the respective amounts of such type of Obligation then owing to each 
Lender.

     (b) If any payment received by the Agent under any Credit Document is
insufficient to pay in full all amounts then due and payable to the Agent and
the Lenders under the Credit Documents, such payment shall be distributed by the
Agent and applied by the Agent and the Lenders in the order set forth in the
Collateral Agreement.  In calculating the amount of Obligations owing each
Lender other than for principal and interest on Loans and fees under Section
3.1, the Agent shall only be required to include such other Obligations that
Lenders have certified to the Agent in writing are due to such Lenders.

     Section 3.3.  Withholding Taxes.  (a) Payments Free of Withholding.  Except
as otherwise required by law and subject to Section 3.3(b), each payment by the
Borrower or the Guarantor to any Lender or the Agent under this Agreement or any
other Credit Document shall be made without withholding for or on account of any
present or future taxes imposed by or within the jurisdiction in which the
Borrower or the Guarantor is domiciled, any jurisdiction from which the Borrower
or the Guarantor makes any payment, or (in each case) any political subdivision
or taxing authority thereof or therein, excluding, in the case of each Lender
and the Agent, taxes, assessments or other governmental charges

                                      -34-
<PAGE>
 
     (i) imposed on, based upon, or measured by its income, and branch profits,
     franchise and similar taxes imposed on it, by any jurisdiction in which
     such Lender or the Agent, as the case may be, is incorporated or maintains
     its principal place of business or Lending Office or which subjects such
     Lender or the Agent to tax by reason of a connection between the taxing
     jurisdiction and such Lender or the Agent (other than a connection
     resulting from the transactions contemplated by this Agreement);

     (ii) imposed as a result of a connection between the taxing jurisdiction
     and such Lender or the Agent, as the case may be, other than a connection
     resulting from the transactions contemplated by this Agreement;

     (iii)  imposed as a result of the transfer by such Lender of its interest
     in this Agreement or any other Credit Document or a designation by such
     Lender (other than pursuant to Section 8.3(c)) of a new Lending Office
     (other than taxes imposed as a result of any change in treaty, law or
     regulation after such transfer of such Lender's interest in this Agreement
     or any other Credit Document or designation of a new Lending Office);

     (iv) imposed by the United States of America upon a Lender organized under
     the laws of a jurisdiction outside of the United States, except to the
     extent that such tax is imposed or increased as a result of any change in
     applicable law, regulation or treaty (other than any addition of or change
     in any "anti-treaty shopping," "limitation of benefits," or similar
     provision applicable to a treaty) after the date hereof, in the case of
     each Lender originally a party hereto or, in the case of any Purchasing
     Lender (as defined in Section 10.10), after the date on which it becomes a
     Lender; or

     (v) which would not have been imposed but for (A) the failure of any Lender
     or the Agent, as the case may be, to provide an Internal Revenue Service
     Form 1001 or 4224, as the case may be, or any substitute or successor form
     prescribed by the Internal Revenue Service, pursuant to Section 3.3(b), or
     any other certification, documentation or proof which is reasonably
     requested by the Borrower, or (B) a determination by a taxing authority or
     a court of competent jurisdiction that a certification, documentation or
     other proof provided by such Lender or the Agent to establish an exemption
     from such tax, assessment or other governmental charge is false

(all such non-excluded taxes, assessments or other governmental charges and
liabilities being hereinafter referred to as "Indemnified Taxes"). If any such
withholding is so required, the Borrower or the Guarantor, as applicable, shall
make the withholding, pay the amount withheld to the appropriate governmental
authority before penalties attach thereto or interest accrues thereon and
forthwith pay such additional amount as may be necessary to ensure that the net
amount actually received by each Lender and the Agent is free and clear of such
Indemnified Taxes (including Indemnified Taxes on such additional amount) and is
equal to the amount that such Lender or the Agent (as the case may be) would
have received had such withholding not been made.  If the Agent or any Lender
pays any amount in respect of any Indemnified Taxes, penalties or interest, the
Borrower or the Guarantor, as applicable, shall reimburse the Agent or that
Lender for the payment on demand in the currency in which such payment was made.
If the Borrower or the Guarantor pays any Indemnified Taxes, or penalties or
interest in connection therewith, it shall deliver official tax receipts
evidencing the payment or certified copies thereof, or other satisfactory
evidence of payment if such tax receipts have not yet been received by the
Borrower or such Guarantor (with such tax receipts to be promptly delivered when
actually received), to the Lender or Agent on whose account such withholding was
made (with a copy to the Agent if not the recipient of the original) within
fifteen (15) days of such payment.  Each such Lender shall make written demand
on the Borrower for indemnification or compensation hereunder no later than
ninety (90) days after the earlier of (i) the date 

                                      -35-
<PAGE>
 
on which such Lender or the Agent makes payment of Indemnified Taxes, and (ii)
the date on which the relevant taxing authority or other governmental authority
makes written demand upon such Lender or the Agent for payment of Indemnified
Taxes. In the event that such Lender or the Agent fails to give the Borrower
timely notice as provided herein, the Borrower shall not have any obligation to
pay such claim for compensation or indemnification.

     (b) U.S. Withholding Tax Exemptions.  Each Lender that is not a United
States person (as such term is defined in Section 7701(a)(30) of the Code) shall
submit to the Borrower and the Agent on or before the Initial Borrowing Date,
two duly completed and signed copies of either Form 1001 (entitling such Lender
to a complete exemption from withholding under the Code on all amounts to be
received by such Lender, including fees, pursuant to the Credit Documents) or
Form 4224 (relating to all amounts to be received by such Lender, including
fees, pursuant to the Credit Documents) of the United States Internal Revenue
Service.  Thereafter and from time to time, each such Lender shall submit to the
Borrower and the Agent such additional duly completed and signed copies of one
or the other of such forms (or such successor forms as shall be adopted from
time to time by the relevant United States taxing authorities) as may be (i)
notified by the Borrower, directly or through the Agent, to such Lender, and
(ii) required under then-current United States law or regulations to avoid
United States withholding taxes on payments in respect of all amounts to be
received by such Lender, including fees, pursuant to the Credit Documents.  Upon
the request of the Borrower, each Lender that is a United States person shall
submit to the Borrower a certificate to the effect that it is such a United
States person.

     (c) Inability of Lender to Submit Forms.  If any Lender determines, as a
result of any change in applicable law, regulation or treaty, or in any official
application or interpretation thereof, that it is unable to submit to the
Borrower or Agent any form or certificate that such Lender is obligated to
submit pursuant to subsection (b) of this Section 3.3 or that such Lender is
required to withdraw or cancel any such form or certificate previously submitted
or any such form or certificate otherwise becomes ineffective or inaccurate,
such Lender shall promptly notify the Borrower and Agent of such fact and such
Lender shall to that extent not be obligated to provide any such form or
certificate and will be entitled to withdraw or cancel any affected form or
certificate, as applicable.

     (d) Refund of Taxes.  If any Lender or the Agent receives a refund of any
Indemnified Tax or any tax referred to in Section 10.3 with respect to which the
Borrower or the Guarantor has paid any amount pursuant to this Section 3.3 or
Section 10.3, such Lender or the Agent shall pay the amount of such refund
(including any interest received with respect thereto) to the Borrower or such
Guarantor.

SECTION 4.  CONDITIONS TO BORROWINGS.

     Section 4.1.  Conditions Precedent to Initial Borrowing.  The obligation of
each Lender to advance the initial Loans hereunder on the Initial Borrowing Date
is subject to satisfaction of the following conditions precedent, all in form
and substance satisfactory to the Lenders (and which shall be evidenced by the
making of such Loans):

     (i) The Agent shall have received:

          (A) Notes.  The duly executed Notes of the Borrower;

          (B) First Mortgage.  The duly executed First Mortgage covering the Rig
     from the Borrower in substantially the form of Exhibit 4.1A;

                                      -36-
<PAGE>
 
          (C) Security Agreement.  The duly executed Security Agreement and
     Financing Statement from the Borrower in substantially the form of Exhibit
     4.1B and UCC-1 Financing Statements covering the Collateral described
     therein to be filed in the Office of the Secretary of State of each of
     Delaware, Texas and Louisiana;

          (D) Assignments of Amoco Contracts.  The duly executed Assignments of
     Amoco Contracts from the Borrower in substantially the form of Exhibit
     4.1C;

          (E) Assignments of Shipyard Construction Contracts.  The duly executed
     Assignments of Shipyard Construction Contracts from the Borrower, and a
     consent of the Drillship Builder and the Rig Builder thereto, in
     substantially the form of Exhibit 4.1D;

          (F) Assignment of Bank Guarantees.  The duly executed Assignment of
     Bank Guarantees from the Borrower, and a consent of each of Royal Bank of
     Canada and Citibank, N.A. thereto, in substantially the form of Exhibit
     4.1E, and all original refund guarantees issued to date thereunder;

          (G) Assignments of O&M Contracts.  The duly executed Assignments of
     O&M Contracts from the Borrower in substantially the form of Exhibit 4.1F;

          (H) Assignment of Transocean Contracts.  The duly executed Assignments
     of Transocean Contracts from the Borrower in substantially the form of
     Exhibit 4.1G;

          (I) Transocean Performance Guaranty.  The duly executed Transocean
     Performance Guaranty in substantially the form of Exhibit 4.1H;

          (J) Certificates of Officers of Credit Parties.  Certificates of the
     Secretary or Assistant Secretary and the President or Vice President of
     each Credit Party, on behalf of each Credit Party, containing specimen
     signatures of the persons authorized to execute Credit Documents on each
     Credit Party's behalf or any other documents provided for herein or
     therein, together with (x) copies of resolutions of the Board of Directors
     of each Credit Party authorizing the execution and delivery of the Credit
     Documents to which it is a party and of all other legal documents or
     proceedings taken by the Credit Parties in connection with the execution
     and delivery of the Credit Documents, (y) copies of each Credit Party's
     Certificate or Articles of Incorporation, certified by the Secretary of
     State or other applicable entity of such Credit Party's jurisdiction of
     organization and bylaws or other governing documents, and (z) a certificate
     of existence and good standing from the appropriate governing agency of
     such Credit Party's jurisdiction of organization and of such other
     jurisdictions where such Credit Party is authorized to do business as and
     to the extent agreed with the Agent;

          (K) Lien Searches.  The results of recent lien searches and Uniform
     Commercial Code searches showing no Liens on any of the property or assets
     of the Borrower other than Permitted Liens;

          (L) Certificates of Financial Condition.  A certificate of the chief
     financial officer or Treasurer of the Guarantor on behalf of the Guarantor
     documenting the solvency of the Guarantor and its Subsidiaries on a
     consolidated basis and a certificate of the chief financial officer or
     Treasurer of the Borrower documenting the solvency of the Borrower;

                                      -37-
<PAGE>
 
          (M) Fees.  Payment of all fees and all expenses incurred through the
     Effective Date then due and owing to the Agent and the Lenders pursuant to
     this Agreement;

          (N) Consents.  Certified copies of all documents evidencing any
     necessary corporate action, consents and governmental approvals (if any)
     taken or obtained by any Credit Party with respect to the Credit Documents;

          (O) Opinions of Counsel.  The opinions of Hughes Hubbard & Reed LLP,
     special New York legal counsel to the Borrower, Eric B. Brown, Esq.,
     General Counsel to the Borrower and the Guarantor, Arosemena Noriega &
     Contreras, special Panama legal counsel to the Borrower, and Royston,
     Rayzor, Vickery & Williams, L.L.P., special maritime counsel to the
     Borrower, in substantially the forms attached as Exhibit 4.1I, 4.1J, 4.1K
     and 4.1L, respectively;

          (P) Amoco Contracts.  The duly executed Amoco Contracts and comfort
     letters from Amoco dated within ten (10) days of the Effective Date that no
     default exists and is continuing thereunder in substantially the form of
     Exhibit 4.1M;

          (Q) O&M Contracts.  The duly executed Drillship O&M Contract and Rig
     O&M Contract in substantially the form of Exhibit 4.1N;

          (R) Transocean Contracts.  The duly executed Transocean Contracts
     providing for the lease of the Rig, and if necessary, the Drillship in
     substantially the form of Exhibit 4.1O;

          (S) License Agreement.  The duly executed License Agreement providing
     for the use by the Borrower, of the patents pending of the Guarantor of the
     rig floor layout of the Drillship in substantially the form of Exhibit
     4.1P;

          (T) Collateral Agreement.  The duly executed Collateral Agreement in
     substantially the form of Exhibit 4.1Q; and

          (U) Insurance Certificate.  An insurance certificate on behalf of the
     Borrower dated within ten (10) days of the Effective Date describing in
     reasonable detail the insurance maintained by the Borrower as required by
     the Credit Documents.

     (ii) All legal matters incident to the execution and delivery of the Credit
Documents shall be reasonably satisfactory to the Agent.

     Section 4.2.  Conditions Precedent to Construction Loans.  The obligation
of each Lender to advance each Construction Loan is subject to satisfaction of
the following additional conditions precedent:

     (i) Cost.  The total estimated out-of-pocket cost to complete the
construction of the Drillship and the upgrade of the Rig pursuant to the terms
of the applicable Amoco Contracts, as reasonably determined by the Borrower,
does not exceed $250,000,000 for the Drillship or $80,000,000 for the Rig (in
each case, excluding capitalized interest) by an amount greater than $66,000,000
in the aggregate;

     (ii) Progress of Construction.  There shall be no delay in the completion
of construction of the Drillship or the upgrade of the Rig as required by the
Amoco Contracts such that the reasonably anticipated Conversion Date shall be
later than December 31, 1998;

                                      -38-
<PAGE>
 
     (iii)  Certificate of Engineer.  The Agent shall have received a
certification from the Engineer (which the Agent shall in turn provide promptly
to the Lenders) certifying at least once each calendar quarter, commencing the
first calendar quarter of 1997, unless more frequently requested by the Agent in
its reasonable discretion, the progress and total estimated cost of the
construction of the Drillship and the upgrade of the Rig pursuant to the Amoco
Contracts as required in items (i) and (ii) of this Section 4.2; and

     (iv) First Mortgage.  The Borrower shall have provided a duly executed
First Mortgage covering the Drillship in substantially the form of Exhibit 4.1A
and an opinion of special Panama legal counsel to the Borrower with respect
thereto in substantially the form of Exhibit 4.1K and otherwise as reasonably
satisfactory to the Agent within ten (10) Business Days from the date it takes
title thereto.

     Section 4.3.  Conditions Precedent to All Borrowings.  In the case of each
advance of a Borrowing hereunder (including the initial Borrowing hereunder);

     (i) Notices.  The Agent shall have received the Borrowing Request required
by the first sentence of Section 2.5;

     (ii) Warranties True and Correct.  Each of the representations and
warranties of the Borrower set forth herein and in the other Credit Documents
and (during the term of the Transocean Performance Guaranty and other than in
the case of the conversion of the Construction Loans into the Term Loans) of the
Guarantor set forth in the Transocean Performance Guaranty shall be true and
correct in all material respects as of the time of such new Borrowing, except to
the extent that any of such representations or warranties are not true and
correct as a result of the transactions expressly permitted hereunder or
thereunder and except to the extent that any such representation or warranty
relates solely to an earlier date, in which case it shall have been true and
correct in all material respects as of such earlier date;

     (iii)  No Default.  No Default or Event of Default shall have occurred and
be continuing or would occur as a result of such Borrowing; and

     (iv) Regulation G, U and X.  The Borrowings to be made by the Borrower
shall not result in the Borrower or any Lender being in non-compliance with or
in violation of Regulation G, U or X of the Board of Governors of the Federal
Reserve System.

Each acceptance by the Borrower of an advance of a Borrowing shall be deemed to
be a representation and warranty by the Borrower on the date of such Borrowing
that all conditions precedent to such Borrowing set forth in this Section 4.3
and in Sections 4.1 and 4.2, as applicable, with respect to the Borrowings
hereunder have (except to the extent waived in accordance with the terms hereof)
been satisfied or fulfilled  unless the Borrower gives to the Lenders written
notice to the contrary, in which case none of the Lenders shall be required to
fund such advances, unless the Lenders, with respect to the initial Borrowing,
or the Majority Lenders, with respect to subsequent Borrowings, shall have
previously waived in writing such non-compliance.

     Section 4.4.  Conditions Precedent to Conversion of Construction Loans into
Term Loans.  The conversion of the Construction Loans into Term Loans is subject
to satisfaction of the following conditions precedent:

     (i) The Borrower shall have given written notice to the Agent no earlier
than sixty (60) days and (unless otherwise agreed by the Agent) no later than
thirty (30) days before the anticipated Conversion 

                                      -39-
<PAGE>
 
Date of its election to convert the Construction Loans into Term Loans subject
to the terms and provisions hereof, which notice the Agent shall in turn
promptly provide to all Lenders;

     (ii) The construction of both of the Drillship and the upgrade of the Rig
shall have been completed substantially in accordance with the Functional
Requirements therefor (as certified to the Agent and the Lenders by the
Engineer);

     (iii)  The Borrower shall have delivered to the Agent a copy of the Amoco
Letter of Acceptance for each of the Drillship and the Rig in substantially the
form of Exhibit 4.4;

     (iv) The Borrower shall have furnished to the Agent an Officer's
Certificate executed on behalf of the Borrower by a Senior Officer of the
Borrower, which indicates that it is made in favor of and for the benefit of the
Agent and each of the Lenders certifying, representing and warranting that:

          (A) the Drillship and the Rig have been constructed substantially in
     compliance with the Functional Requirements therefor;

          (B) all amounts (other than amounts being contested in good faith by
     the Borrower and for which reserves in conformity with GAAP have been
     provided) then due and owing by the Borrower and/or the Guarantor to third
     parties for the construction of the Drillship and the upgrade of the Rig,
     including, without limitation, all amounts (other than amounts being
     contested in good faith by the Borrower and for which reserves in
     conformity with GAAP have been provided) due and owing by the Borrower
     and/or the Guarantor under the Drillship Shipyard Construction Contract,
     under the Rig Shipyard Construction Contract and for all other construction
     costs, have been paid in full;

          (C) the Borrower owns each of the Drillship and the Rig, free and
     clear of all Liens other than Permitted Liens;

          (D) no default or event of default (in each case, as defined in the
     relevant Amoco Contract) under either of the Amoco Contracts has occurred
     and is continuing (it being understood and agreed that such default or
     event of default shall cease to be "continuing" for the purposes of this
     Agreement when it shall cease to constitute a continuing default or event
     of default under the applicable Amoco Contract for any reason (including,
     without limitation, as a result of the curing thereof or any waiver or
     modification thereunder)) after any applicable grace period; and

          (E) the Borrower has obtained loss of hire insurance with respect to
     each of the Drillship and the Rig as required by Section 6.6;

     (v) The Agent shall have received an update to a date not less than ten
(10) days prior to the Conversion Date of each of the search reports delivered
pursuant to Section 4.1(i)(K), showing no Liens other than Permitted Liens;

     (vi) The Tranche A Loans shall have been paid in full; and

     (vii)  All conditions contained in clauses (ii) and (iii) of Section 4.3
shall have been satisfied in full.

Section 4.4(iii), (iv)(C), (D) and (E) and (vi) may be amended or waived only
with the consent of all Lenders.

                                      -40-
<PAGE>
 
SECTION 5.  REPRESENTATIONS AND WARRANTIES.

     The Borrower represents and warrants to each Lender and the Agent as
follows:

     Section 5.1.  Corporate Organization.  The Borrower (i) is a duly organized
and existing corporation in good standing under the laws of the State of
Delaware; (ii) has all necessary corporate power to construct, own and operate
each of the Drillship and the Rig and to carry on its business contemplated in
connection therewith; and (iii) is duly licensed or qualified and in good
standing in each jurisdiction in which the nature of the business transacted by
it or the nature of the property owned or leased by it makes such licensing or
qualification necessary.

     Section 5.2.  Corporate Power and Authority; Validity.  Each Credit Party
has the corporate power and authority to execute, deliver and carry out the
terms and provisions of the Credit Documents to which it is a party and to
consummate the transactions contemplated hereby and has taken all necessary
corporate action to authorize the execution, delivery and performance of such
Credit Documents and to consummate the transactions contemplated hereby.  Each
Credit Party has duly executed and delivered each Credit Document to which it is
a party and each such Credit Document constitutes the legal, valid and binding
obligation of such Credit Party enforceable against it in accordance with its
terms, subject as to enforcement only to bankruptcy, insolvency, reorganization,
moratorium or other similar laws affecting the enforcement of creditors' rights
generally and equitable principles.

     Section 5.3.  No Violation.  Neither the execution, delivery or performance
by any Credit Party of the Credit Documents to which it is a party nor
compliance by it with the terms and provisions thereof, nor the consummation by
it of the transactions contemplated herein or therein, will (i) assuming the
timely obtaining and making of all necessary permits, licenses, consents,
approvals and other authorizations of, and filings with, governmental
authorities, contravene in any material respect any applicable provision of any
law, statute, rule or regulation, or any applicable order, writ, injunction or
decree of any court or governmental instrumentality, including, without
limitation, all applicable laws with respect to the location of the Drillship
and the Rig, (ii) conflict with or result in any breach of any term, covenant,
condition or other provision of, or constitute a default under, or result in the
creation or imposition of (or the obligation to create or impose) any Lien other
than any Permitted Lien upon any of the property or assets of any Credit Party
under, the terms of any material contractual obligation to which any such Credit
Party is a party or by which any of them or any of their properties or assets is
bound or to which any of them may be subject, or (iii) violate or conflict with
any provision of the certificate of incorporation or by-laws of any Credit
Party.

     Section 5.4.  Litigation.  There are no actions, suits, proceedings or
counterclaims (including, without limitation, arbitration, derivative or
injunctive actions) pending or, to the knowledge of the Borrower, threatened
against the Borrower that are reasonably likely to have a Material Adverse
Effect.

     Section 5.5.  Use of Proceeds; Margin Regulations.  (a)  The proceeds of
the Loans shall only be used to (i) pay amounts payable in connection with the
design, engineering, construction and equipping of the Drillship and the
acquisition, design, engineering, upgrade and equipping of the Rig as
contemplated by the Amoco Drillship Contract and the Amoco Rig Contract,
respectively, or in connection with the financing thereof, including, without
limitation, the payment of, or the payment of amounts payable in respect of, any
Obligations hereunder, insurance premiums or binder deposits under the insurance
policies required to be maintained by the Borrower pursuant to any Operative
Document, the Interest Rate Protection Agreements required by Section 6.10
(including, without limitation, any true-up costs or expenses with respect
thereto) and flagging costs and costs of obtaining certification of the
Drillship and the Rig, (ii) without limitation of clause (i), pay amounts
payable in connection with the achievement of 

                                      -41-
<PAGE>
 
Acceptance, (iii) reimburse the Guarantor or any of its Subsidiaries for any
payment heretofore or hereafter made by any of them of any of the foregoing (any
such payment by the Guarantor or any of its Subsidiaries, a "Guarantor Payment";
and any such reimbursement payment by the Borrower with respect to any such
Guarantor Payment, a "Reimbursement Payment"), or to make dividends in amounts
not in excess, in the aggregate, of the amount of the Guarantor Payments not
theretofore reimbursed through Reimbursement Payments, in each case subject to
the provisions of Section 6.15(d) or Section 6.11, as applicable, (iv) on the
Conversion Date, to repay the Tranche A Loans and all accrued and unpaid
interest thereon and (v) repay intercompany advances as permitted hereunder.

     (b) The Borrower is not engaged in the business of extending credit for the
purpose of purchasing or carrying margin stock.  No proceeds of any Loan will be
used for a purpose which violates Regulation G, U or X of the Board of Governors
of the Federal Reserve System.  After application of the proceeds of any of the
Borrowings, none of the assets of the Borrower consists of "margin stock" (as
defined in Regulation U of the Board of Governors of the Federal Reserve
System).

     Section 5.6.  Investment Company Act.  The Borrower is not an "investment
company" or a company "controlled" by an "investment company," within the
meaning of the Investment Company Act of 1940, as amended.

     Section 5.7.  Public Utility Holding Company Act.  The Borrower is not a
"holding company," or a "subsidiary company" of a "holding company," or an
"affiliate" of a "holding company" or of a "subsidiary company" of a "holding
company," within the meaning of the Public Utility Holding Company Act of 1935,
as amended.

     Section 5.8.  True and Complete Disclosure.  All factual information (taken
as a whole) furnished by the Borrower and the Guarantor in writing to the Agent
or any Lender in connection with any Credit Document or any transaction
contemplated therein is, disregarding any updated, corrected, supplemented,
superseded or otherwise modified information except as so updated, corrected,
supplemented, superseded or otherwise modified, and all other such factual
information hereafter furnished by any such Persons in writing to the Agent or
any Lender in connection herewith, or with any of the other Credit Documents or
the Loans, will be, on the date of such information, true and accurate in all
material respects and not incomplete by omitting to state any material fact
necessary to make such information (taken as a whole) not misleading at such
time in light of the circumstances under which such information was provided.

     Section 5.9.  No Material Adverse Change.  There has occurred no event or
effect, other than any event specifically permitted, contemplated or provided
for under any Credit Document, that has had or is reasonably likely to have a
Material Adverse Effect.

     Section 5.10.  Labor Controversies.  There are no labor controversies
pending or, to the best knowledge of the Borrower, threatened against the
Borrower that are reasonably likely to have a Material Adverse Effect.

     Section 5.11.  Taxes.  The Borrower has filed, if any, all United States
federal income tax returns, and all other material tax returns required to be
filed, whether in the United States or in any foreign jurisdiction, and has
paid, if any, all governmental taxes, rates, assessments, fees, charges and
levies (collectively, "Taxes") shown to be due and payable on such returns or on
any assessments made against Borrower or any of its properties (other than any
such assessments which can thereafter be paid without penalty or which are being
contested in good faith by appropriate proceedings and for which reserves have
been provided in conformity with GAAP).

                                      -42-
<PAGE>
 
     Section 5.12.  ERISA.  With respect to each Plan, the Borrower has
fulfilled, if any, its obligations under the minimum funding standards of, and
is in compliance in all material respects with, ERISA and with the Code to the
extent applicable to it, and has not incurred any liability under Title IV of
ERISA to the PBGC or a Plan other than a liability to the PBGC for premiums
under Section 4007 of ERISA, in each case with such exceptions as are not
reasonably likely to have a Material Adverse Effect.  As of the Effective Date,
the Borrower has no contingent liabilities with respect to any post-retirement
benefits under a welfare plan subject to ERISA.

     Section 5.13.  Security Interests.  On and after the Initial Borrowing
Date, each of the Security Documents (and on and after the date of execution
thereof, the First Mortgage with respect to the Drillship) will create, upon the
filing of properly completed UCC financing statements (or similar instruments in
foreign jurisdictions), the Security Documents and/or other customary documents
in the appropriate jurisdictions, in favor of the Collateral Agent and the
Lenders as security for (without limitation) the Obligations, a valid and
enforceable perfected (to the extent perfection may be achieved by such filings)
first priority (subject only to Permitted Liens) security interest in and Lien
on all of the Collateral described therein, subject to no other Liens except
Permitted Liens.

     Section 5.14.  Consents.  At the time of consummation thereof, all consents
and approvals of, and filings and registrations with, and all other actions of,
all governmental agencies, authorities or instrumentalities required to have
been obtained or made by the Borrower prior to such time in order to consummate
the Borrowings hereunder and to execute, deliver and perform the Credit
Documents have been or will have been obtained or made and are or will be in
full force and effect.

     Section 5.15.  Intellectual Property.  The Borrower owns or holds valid
licenses to use (or will, at the time required, own or hold valid licenses to
use) all the material patents, trademarks, permits, service marks and trade
names that are necessary to the operation of the business of the Borrower with
such exceptions which are not reasonably likely to have a Material Adverse
Effect.

     Section 5.16.  Ownership of Property.  The Borrower owns the Rig and
pursuant to the terms and conditions of the Drillship Shipyard Construction
Contract, will own the Drillship, in each case, subject to no Liens except
Permitted Liens.

     Section 5.17.  Compliance with Statutes, Etc.  The Borrower is in
compliance with all applicable statutes, regulations and orders of, and all
applicable restrictions imposed by, all governmental bodies, domestic and
foreign, including, without limitation, all applicable laws with respect to the
location of the Drillship and the location of the Rig, in respect of the conduct
of its business as currently conducted by it and the ownership and operation of
its properties as currently operated by it, except for such instances of non-
compliance as are not reasonably and likely to, individually or in the
aggregate, have a Material Adverse Effect, and has all necessary permits and
licenses, and other necessary authorizations, with respect thereto with such
exceptions (if any) as are not reasonably likely to, individually or in the
aggregate, have a Material Adverse Effect.

     Section 5.18.  Environmental Matters.  (a)  Except as disclosed in Schedule
5.18, the Borrower is in compliance with all applicable Environmental Laws and
the requirements of any permits issued under such Environmental Laws, except for
such instances of non-compliance (if any) as are not reasonably likely to have a
Material Adverse Effect.  To the best knowledge of the Borrower, there are no
pending, past or threatened Environmental Claims against the Borrower on any
property owned or operated by the Borrower except as disclosed in Schedule 5.18
or except as are not reasonably likely to have a Material Adverse Effect.  To
the best knowledge of the Borrower, there are no conditions or occurrences on
any property owned or operated by the Borrower or on any property adjoining or
in the vicinity of any such property 

                                      -43-
<PAGE>
 
that are reasonably likely to form the basis of an Environmental Claim against
the Borrower or any such property that individually or in the aggregate are
reasonably likely to have a Material Adverse Effect.

     (b) To the best of the Borrower's knowledge, (i) Hazardous Materials have
not at any time been generated, used, treated or stored on, or transported to or
from, any property owned or operated by the Borrower in a manner that has
violated or could reasonably be expected to violate any Environmental Law, and
(ii) Hazardous Materials have not at any time been released on or from any
property owned or operated by the Borrower, in the case of both (i) and (ii),
with such exceptions as are not reasonably likely to have a Material Adverse
Effect.

     Section 5.19.  Existing Indebtedness.  The Borrower has no existing
Indebtedness outstanding as of the Effective Date other than the Obligations
hereunder, Indebtedness in respect of the Interest Rate Protection Agreement
required under Section 6.10, Indebtedness under the Operative Documents and any
obligation of the Borrower to make a Reimbursement Payment.

SECTION 6.  COVENANTS.

     The Borrower covenants and agrees that, so long as any Note or Commitment
is outstanding hereunder, or any other Obligation is due and payable hereunder:

     Section 6.1.  Corporate Existence.  The Borrower will preserve and maintain
its corporate existence.  The Borrower shall not form any subsidiaries or enter
into any partnerships, joint ventures or other business combinations.

     Section 6.2.  Construction and Maintenance.  Subject to the terms,
conditions, restrictions and limitations set forth in the Operative Documents,
the Borrower shall take, or shall cause to be taken, all actions necessary for
the performance and satisfaction of all of its obligations under the Operative
Documents, including:

     (i) performing all supervisory functions relating to the construction,
design, engineering, operation and maintenance of the Drillship and the Rig as
required by the Amoco Contracts, the Transocean Contracts or the Substitute
Contracts;

     (ii) procuring, or causing to be procured, the equipment and materials to
construct the Drillship and upgrade the Rig as required by the Amoco Contracts;

     (iii)  paying, or causing to be paid, in accordance with the Drillship
Shipyard Construction Contract and the Rig Shipyard Construction Contract, all
construction costs and performing all obligations thereunder and otherwise in
connection with the construction of the Drillship and the upgrade of the Rig in
the manner contemplated in the Amoco Contracts;

     (iv) enforcing, or causing to be enforced, performance by the Drillship
Builder, the Rig Builder and each other party to any construction contract with
the Borrower and/or the Guarantor with respect to the construction of the
Drillship and the upgrade of the Rig of their respective warranties and other
construction obligations with respect to the design, engineering and
construction thereof and pursuing remedies with respect to the breach of any of
these obligations;

     (v) obtaining all material permits, licenses, consents, approvals and other
authorizations, including those required under all applicable laws, from all
governmental authorities necessary to be obtained by it in connection with the
construction of the Drillship, the upgrade of the Rig and the operation 

                                      -44-
<PAGE>
 
and maintenance of the Drillship and the Rig as required by the Amoco Contracts,
the Transocean Contracts or the Substitute Contracts, as applicable;

     (vi) performing any other acts necessary to cause the Drillship to be
constructed and the Rig to be upgraded substantially in accordance with the
Functional Requirements;

     (vii)  operating and maintaining the Drillship and Rig in accordance with
the requirements of the Amoco Contracts, the Transocean Contracts or the
Substitute Contracts, as applicable; and

     (viii)  maintaining all books and records with respect to the construction
of the Drillship, the upgrade of the Rig and the operation and maintenance of
the Drillship and the Rig as required by the Amoco Contracts or the Transocean
Contracts, as applicable;

all of the foregoing subject to such exceptions as are not reasonably likely,
individually or in the aggregate, to have a Material Adverse Effect; provided
that this Section 6.2 shall not require the Borrower to perform any obligation
under any contract to which it is a party if it shall be contesting such
obligation in good faith and if reserves in conformity with GAAP have been
provided therefor.  The Borrower will, in all material respects, maintain each
of the Drillship and the Rig in as good an operating condition as at the date of
the Amoco Letter of Acceptance (ordinary wear and tear excepted), in compliance
with all applicable laws and regulations regarding maintenance and operation and
in accordance with manufacturer's warranties and recommended maintenance
procedures, if any.  In no event shall the Drillship or the Rig be maintained or
serviced in all material respects to a lesser standard of maintenance than
employed by the Guarantor or its Affiliates for similar drillships or rigs, as
the case may be, owned or leased by it in similar locations or jurisdictions.

     Section 6.3.  Taxes.  The Borrower will duly pay and discharge all Taxes
upon or against it or its properties before penalties accrue thereon, unless and
to the extent that the same is being contested in good faith and by appropriate
proceedings and reserves have been established in conformity with GAAP.

     Section 6.4.  ERISA.  The Borrower will timely pay and discharge all
obligations and liabilities arising under ERISA or otherwise with respect to
each Plan of a character which if unpaid or unperformed might result in the
imposition of a material Lien against any properties or assets of the Borrower
and will promptly notify the Agent upon an officer of the Borrower becoming
aware thereof, of (i) the occurrence of any reportable event (as defined in
ERISA) relating to a Plan, other than any such event with respect to which the
PBGC has waived notice by regulation; (ii) receipt of any notice from PBGC of
its intention to seek termination of any Plan or appointment of a trustee
therefor; (iii) the Borrower's intention to terminate or withdraw from any Plan
if such termination or withdrawal would result in liability under Title IV of
ERISA; and (iv) the receipt by the Borrower of notice of the occurrence of any
event that is reasonably likely to result in the incurrence of any liability
(other than for benefits), fine or penalty to the Borrower that would be
material to the Borrower or any Plan amendment that is reasonably likely to
materially increase the contingent liability of the Borrower in connection with
any post-retirement benefit under a welfare plan subject to ERISA.

     Section 6.5.  Burdensome Restrictions, Etc.  Promptly upon any officer of
the Borrower becoming aware thereof, the Borrower shall give to the Agent
written notice of (i) the adoption of any new requirement of law which is
reasonably likely to have a Material Adverse Effect, and (ii) the existence or
occurrence of any strike, slow down or work stoppage which is reasonably likely
to have a Material Adverse Effect.

                                      -45-
<PAGE>
 
     Section 6.6.  Insurance.  (a)  Types of Insurance Required.  The Borrower
shall maintain, or cause to be maintained, with reputable insurance companies
reasonably acceptable to the Agent, the types of insurance required to be
maintained by it under the relevant Amoco Contract, Transocean Contract or
Substitute Contract, as applicable, in at least the amounts required thereunder
and, at a minimum, the following types of insurance, from and after dates such
insurance would become applicable as a result of the operations of the Borrower,
in at least the following amounts:

          (i) Workmen's Compensation and Employer's Liability insurance which
     shall fully comply with the laws of the State of Louisiana (and such other
     states, countries or jurisdictions where the Borrower shall operate), such
     policy to contain the following endorsements covering:

               (x) United States Longshoremen's and Harbor Workers' Compensation
                   Act;

               (y)  Employer's Liability covering marine operations with minimum
                    limits of liability of $1,000,000 for deaths or injuries
                    arising out of one occurrence; and

               (z)  United States Longshoremen's and Harbor Workers'
                    Compensation Act as applicable to the Outer Continental
                    Shelf Lands Act (if applicable).

          (ii) Comprehensive General Liability or Commercial General Liability
     (or equivalent coverage) insurance including Contractual Liability and
     suitably endorsed to cover maritime operations with minimum limits of
     $1,000,000 per occurrence for deaths or injuries and property damage
     arising out of one accident (if this contract is governed by the laws of
     the State of Texas, the minimum limits for contractual liability insurance
     shall be no less than $500,000).

          (iii)  Automobile Public Liability and Property Damage insurance with
     a minimum limit of $1,000,000 for injury or death of one person, $1,000,000
     for injuries or deaths arising out of one accident and $1,000,000 property
     damage arising out of one accident.

          (iv) Vessel Insurance:  The Drillship (once the Borrower takes title
     thereto) and the Rig, and any other vessels owned, chartered or operated in
     performance of any operations of the Borrower, shall be covered with (x)
     P&I Insurance (on SP23 Form or equivalent), including crew, in amounts
     equivalent to the required amounts under the applicable hull policy
     therefor and (y) hull insurance (on a current American Institute or
     equivalent hull form), including wreck removal coverage (legal, contractual
     and voluntary) and full collision coverage (floating and stationary).  The
     hull policy with respect to the Drillship shall have a minimum limit of not
     less than the book value of such vessel based upon a thirty (30) year
     straight line amortization and the hull policy with respect to the Rig
     shall have a minimum limit of an amount to be agreed by the Agent and the
     Borrower as of the Conversion Date and each anniversary thereafter based
     upon the remaining Vessel Amortization Payments for the Rig.

          (v) Mortgagee's Interest/Breach of Warranty Insurance (on a current
     London Institute mortgagees interest clause - hulls form) on each of the
     Drillship (once the Borrower takes title) and the Rig in a minimum limit of
     not less than $250,000,000 for the Drillship and in an amount to be agreed
     by the Agent and the Borrower for the Rig as of the Conversion Date and
     each anniversary thereafter based upon the remaining Vessel Amortization
     Payments, and the remaining LSF Vessel Amortization Payments, for the Rig.
     Such insurance may be obtained through an endorsement to the required hull
     insurance.

                                      -46-
<PAGE>
 
          (vi) Umbrella or Excess Liability insurance with limit of at least
     $50,000,000, following the form of all underlying liability policies.

          (vii)  If the Drillship (once the Borrower takes title thereto) or the
     Rig shall at any time be located in war-endangered waters or in other
     waters which may under the hull policy be considered excluded by any "free
     of capture and seizure" clause, the Borrower shall give prompt prior
     written notice thereof to the Agent, and at the request of the Agent shall
     insure (through a separate policy or by endorsement to the applicable hull
     policy) such vessel against war and political risks in the amount required
     to be maintained under the hull policy with respect thereto.

No deductible under any of such policies shall exceed $250,000, unless such
deductible amount under any such policy shall become unavailable on commercially
reasonable terms.  The Borrower shall not self-insure any of such risks.  The
hull policies (including any war and political risk coverage) shall each name
the Collateral Agent as a named assured and a loss payee (provided that the
Collateral Agent need not be named as a loss payee with respect to any "sue and
labor" coverage), the liability insurance policies required herein shall name
the Collateral Agent as a named assured and the mortgagee's interest/breach of
warranty policy or endorsement shall name only the Collateral Agent as a named
assured and loss payee.  Each of such policies shall provide that the Collateral
Agent shall have no responsibility for payment of premium and that it shall not
terminate without at least thirty (30) days' advance written notice to the
Collateral Agent.

     (b) Loss of Hire.  From and after the Conversion Date and during the term
of the Amoco Contract or any Substitute Contract with respect to the Drillship
and the Rig, respectively, the Borrower shall maintain loss of hire insurance
for a period of at least eighteen (18) months (or, if less, for the then
remaining scheduled term of such Amoco Contract or Substitute Contract, as the
case may be) and in an amount equal to, with respect to the Drillship and the
Rig, respectively, at least the excess of (i) the aggregate stated operating
dayrates (excluding any incentive or bonus rates and the Transocean Drillship
Differential) scheduled (based on such dayrates as in effect on the Conversion
Date) to be paid to the Borrower under the relevant Amoco Contract or relevant
Substitute Contract (the stated operating dayrate for any such Substitute
Contract for purposes hereof, however, to be limited to the operating dayrate
(express or implicit) under the applicable Transocean Contract for which such
Substitute Contract was substituted), for such period over (ii) the aggregate
Fixed Operating Expenses scheduled (based on such Fixed Operating Expenses as in
effect on the Conversion Date) to be paid to the Guarantor under the relevant
O&M Contract for such period (subject to a maximum ninety (90) day deductible).
Such loss of hire policy shall name the Collateral Agent as a named assured and
a loss payee and shall provide it shall not terminate without at least thirty
(30) days' advance written notice to the Collateral Agent.

     (c) Insurance Reserve.  On the Conversion Date, the Borrower shall
establish (but not then be required to fund) a single insurance reserve account
with the Collateral Agent for both this Agreement and any Lease Securitization
Facility, if applicable (the "Insurance Reserve").  As used herein, the term
"Insurance Reserve Required Amount" shall mean, at any date of computation, an
amount equal to the aggregate stated operating dayrates then in effect
(excluding any incentive or bonus rates and, in the case of the Drillship, the
Transocean Drillship Differential) under the Amoco Contracts or Substitute
Contracts, as applicable (the stated operating dayrate for any such Substitute
Contract for purposes hereof, however, to be limited to the operating dayrate
(express or implicit) under the applicable Transocean Contract for which such
Substitute Contract was substituted), minus the aggregate of the Fixed Operating
Expenses, for the period of any deductible under the applicable loss of hire
policy or policies maintained by the Borrower pursuant to Section 6.6(b),
subject to reduction as set forth herein.  If the Borrower shall make a
mandatory prepayment of its Obligations of the Financed Amount or the remaining
Vessel Amortization Payments for either the Drillship or the Rig as provided in
Section 2.10(b) or 2.11(c), as applicable, together with all 

                                      -47-
<PAGE>
 
other amounts required to be paid therein, the Insurance Reserve Required Amount
shall permanently be reduced by a percentage, the numerator of which is the
product of (i) the sum of the stated operating dayrate under the Amoco Contract
or the Substitute Contract (limited as provided herein) for the applicable
vessel plus the Transocean Drillship Differential (if the applicable vessel is
the Drillship and the Amoco Drillship Contract is then in effect) minus the
daily Fixed Operating Expenses attributable thereto times (ii) the number of
days in the period of any deductible under the loss of hire policy then in
effect for the applicable vessel, and the denominator of which is the Insurance
Reserve Required Amount immediately in effect before such prepayment (provided
that if neither an Amoco Contract nor a Substitute Contract is then in effect
with respect to the applicable vessel, all of the foregoing shall be determined,
on a pro forma basis, if necessary, as the of the Conversion Date) (the "Vessel
Percentage"). If a loss of hire event of a nature covered by the loss of hire
insurance policy or policies maintained pursuant to Section 6.6(b) shall occur
with respect to the Drillship or the Rig after the Conversion Date and during
the term of the Amoco Contract or any Substitute Contract with respect to the
applicable vessel, the Borrower shall deposit (or cause to be deposited) into
the Insurance Reserve, as and when necessary for the Borrower to be able to pay
timely and in full its Obligations and LSF Obligations becoming due and payable,
an aggregate amount equal to the amount of loss of hire insurance proceeds
foregone with respect to such loss of hire event as a result of any deductible
under the loss of hire insurance policy then in effect, provided that the
Borrower shall not be obligated to make any deposit into the Insurance Reserve
(pursuant to any provision of this Section 6.6(c) or any comparable provision of
the Lease Securitization Facility) to the extent that, after giving effect to
such deposit, the aggregate amount theretofore at any time deposited by or on
behalf of the Borrower into the Insurance Reserve (pursuant to any provision of
this Section 6.6(c) or any comparable provision of the Lease Securitization
Facility) would exceed an amount equal to the Insurance Reserve Required Amount
then in effect less the aggregate amount of any prior deposits into the
Insurance Reserve (pursuant to any provision of this Section 6.6(c) or any
comparable provision of the Lease Securitization Facility) to the extent not
repaid by the Borrower to the Guarantor pursuant to the terms and conditions
hereof or (without duplication) recouped out of Excess Cash Flow pursuant to the
last sentence of the definition thereof. The Borrower shall thereafter use (and
the Collateral Agent shall make available to the Borrower) the funds in the
Insurance Reserve and then the loss of hire insurance proceeds to pay its
Obligations, the LSF Obligations, and/or its Swap Obligations, if any, as they
become due under the relevant documents. The Borrower (or the Guarantor on
behalf of the Borrower) also in its discretion may make deposits into the
Insurance Reserve from time to time (and such deposits shall constitute funding
or replenishment of the Insurance Reserve for purposes of the last sentence of
the definition of the term "Excess Cash Flow"). If an Event of Loss or a
Casualty Loss shall occur, the Borrower shall fund the Insurance Reserve as set
forth in the third preceding sentence, and shall thereafter use (and the
Collateral Agent shall make available to the Borrower) the funds in the
Insurance Reserve, as necessary, to pay its Obligations, the LSF Obligations, if
any, and/or its Swap Obligations as they become due under the relevant
documents. If the amount of funds in the Insurance Reserve shall at any time
exceed the Insurance Reserve Required Amount for any reason (such as, for
example, the lowering of the deductible under the loss of hire insurance
policies), the Collateral Agent shall upon request of the Borrower release the
excess amount to the Borrower. The Collateral Agent shall invest and reinvest
the amounts in the Insurance Reserve in such Cash Equivalents as the Borrower
may specify from time to time, and shall liquidate such investments as it may be
directed from time to time by the Borrower (unless an Event of Default shall
have occurred and be continuing or under the Lease Securitization Facility, if
any, in which event the Borrower hereby authorizes the Collateral Agent to
liquidate any such investments in its sole discretion without any further
direction or authorization from the Borrower), and all such investments shall be
deemed to constitute part of the Insurance Reserve for all purposes of this
Agreement and of the Lease Securitization Facility, if any. On the Collateral
Termination Date, all amounts in the Insurance Reserve shall be released to the
Borrower.

                                      -48-
<PAGE>
 
     (d) Insurance Certificate.  The Borrower will (i) on or before the date
each of the Rig and the Drillship leave the shipyard of the Rig Builder and the
Drillship Builder, as applicable, (ii) on or before March 31st of each calendar
year, (iii) on the Conversion Date if the Borrower elects to convert the
Construction Loans to Term Loans subject to the terms and provisions hereof and
(iv) on the request of the Agent, furnish to the Agent a certificate from a
Senior Officer of the Borrower setting forth the nature and extent of the
insurance and the amount of the Insurance Reserve, when applicable, maintained
pursuant to this Section 6.6.

     Section 6.7.  Financial Reports and Other Information.  (a) The Borrower
will maintain a system of accounting in such manner as will enable preparation
of financial statements in accordance with GAAP and will furnish to the Lenders
and their respective authorized representatives such information about the
business and financial condition of the Borrower as any Lender may reasonably
request; and, without any request, will furnish to the Agent:

          (i) within sixty (60) days after the end of each of the first three
     (3) fiscal quarters of each fiscal year of the Borrower, the balance sheet
     of the Borrower as at the end of such fiscal quarter and the related
     statements of income and retained earnings and of cash flows for such
     fiscal quarter and for the portion of the fiscal year ended with the last
     day of such fiscal quarter, all of which shall be in reasonable detail and
     certified by the chief financial officer of the Borrower that they fairly
     present the financial condition of the Borrower and as of the dates
     indicated and the results of its operations and changes in its cash flows
     for the periods indicated and that they have been prepared in accordance
     with GAAP, in each case, subject to normal year-end audit adjustments and
     the omission of footnotes; and

          (ii) within one hundred twenty (120) days after the end of each fiscal
     year of the Borrower, commencing with the fiscal year ending December 31,
     1997, the balance sheet of the Borrower as at the end of such fiscal year
     and the related statements of income and retained earnings and of cash
     flows for such fiscal year and, commencing with the financial statements
     for the fiscal year ending December 31, 1998, setting forth consolidated
     comparative figures as of the end of and for the preceding fiscal year and
     in the case of each full calendar year from and after the Conversion Date,
     audited by an independent nationally-recognized accounting firm.

The Agent will forward promptly to the Lenders the information provided by the
Borrower pursuant to (i) through (ii) above.

     (b) Each financial statement furnished to the Agent pursuant to subsections
(i) and (ii) of Section 6.7(a) shall be accompanied by a written certificate
signed by the Borrower's chief financial officer (or other financial officer of
the Borrower), in his or her capacity as such, (i) to the effect that no Default
or Event of Default then exists or, if any such Default or Event of Default
exists as of the date of such certificate, setting forth a description of such
Default or Event of Default and specifying the action, if any, taken by the
Borrower to remedy the same, and (ii) stating the then outstanding principal
amount, if any, of any loan or advance from the Guarantor to the Borrower to
fund the Cash Flow Reserve or the Insurance Reserve and the remaining obligation
of the Guarantor to fund each of the Cash Flow Reserve and the Insurance
Reserve.

     (c) Promptly upon receipt thereof, the Borrower will provide the Agent with
a copy of each report or "management letter" submitted to the Borrower by its
independent accountants or auditors in connection with any annual, interim or
special audit made by them of the books and records of the Borrower;

                                      -49-
<PAGE>
 
     (d) Promptly after any officer of the Borrower obtains knowledge of any of
the following, the Borrower will provide the Agent with written notice in
reasonable detail of:

          (i) any pending or threatened material Environmental Claim against the
     Borrower or any property owned or operated by the Borrower;

          (ii) any condition or occurrence on any property owned or operated by
     the Borrower that results in material noncompliance by the Borrower with
     any Environmental Law; and

          (iii)  the taking of any material remedial action in response to the
     actual or alleged presence of any Hazardous Material on any property owned
     or operated by the Borrower other than in the ordinary course of business.

     (e) The Borrower will promptly, and in any event within five (5) days,
after a Senior Officer of the Borrower has knowledge thereof, give written
notice to the Agent of (who will in turn provide notice to the Lenders of):  (i)
the occurrence of any Default or Event of Default; (ii) any litigation or
governmental proceeding of the type described in Section 5.4; (iii) any
circumstance that has had or reasonably threatens a Material Adverse Effect,
including, without limitation, the revocation, change, modification or
reconsideration of any license, consent or approval which has had or reasonably
threatens a Material Adverse Effect; (iv) any investigation of the Drillship or
the Rig for a violation of applicable law; or (v) any assignment by Amoco, or
any assignee of Amoco, of its rights and obligations under either the Amoco
Drillship Contract or the Amoco Rig Contract.

     Section 6.8.  Lender Inspection Rights.  Upon reasonable notice from the
Agent or any Lender, the Borrower will permit the Agent or any Lender (and such
Persons as the Agent or such Lender may reasonably designate) during normal
business hours at such entity's sole expense unless a Default or Event of
Default shall have occurred and be continuing, in which event at the Borrower's
expense, to visit and inspect any of the properties of the Borrower, to examine
all of its books and records, to make copies and extracts therefrom, and to
discuss its affairs, finances and accounts with its officers and independent
public accountants (and by this provision the Borrower authorizes such
accountants to discuss with the Agent and any Lender (and such Persons as the
Agent or such Lender may reasonably designate) the affairs, finances and
accounts of the Borrower), all as often, and to such extent, as may be
reasonably requested. The chief financial officer of the Borrower and/or his or
her designee shall be afforded the opportunity to be present at any meeting of
the Agent or the Lenders and such accountants. The Agent agrees to use
reasonable efforts to minimize, to the extent practicable, the number of
separate requests from the Lenders to exercise their rights under this Section
6.8 and/or Section 6.7 and to coordinate the exercise by the Lenders of such
rights.

     Section 6.9.  Conduct of Business.  The Borrower will not engage in any
line of business other than the construction, ownership and operation of the
Drillship and the Rig.

     Section 6.10.  Interest Rate Protection.  On or before the Effective Date,
the Borrower will enter into one or more delayed start commercial paper Interest
Rate Protection Agreements in form and substance reasonably satisfactory to the
Agent with a swap counterparty with a rating from both S&P and Moody's of at
least AA and Aa2, respectively, providing the Borrower protection against
increases in interest rates assuming a principal balance of the Term Loans on
the Conversion Date of $261,940,000 and assuming an Amoco Contract Selection of
a three (3) year drilling contract term for each of the Drillship and Rig, such
Interest Rate Protection Agreement to start on the anticipated Conversion Date
of June 30, 1998.  Not later than the Sizing Date (or such later date, prior to
or on the Conversion Date, as shall be acceptable to the Agent), the Borrower
shall, either by implementing provisions contained in such Interest 

                                      -50-
<PAGE>
 
Rate Protection Agreement or by amending such Interest Rate Protection Agreement
or by entering into one or more additional Interest Rate Protection Agreements,
effect a "true-up" of the financial terms of the initial Interest Rate
Protection Agreement to the extent necessary to reflect any change in the
Conversion Date, any change in the amortization schedule for the Term Loans
pursuant to the Sizing Methodology and any change in the aggregate principal
amount of the Term Loans and the Lease Securitization Facility, in each case
from that anticipated as of the Effective Date. The Borrower shall maintain such
interest rate protection for the term of the Term Loans hereunder. The Borrower
shall also in the same manner effect a "true-up" of the financial terms of the
Interest Rate Protection Agreement or Agreements in effect at such time, to the
extent necessary, each time it shall make an optional or mandatory prepayment
pursuant to Section 2.10 or 2.11, including, without limitation, as a result of
an Event of Loss, a Casualty Event or a Vessel Financing Termination. If the
Agent or a Lender is the counterparty to an Interest Rate Protection Agreement,
any obligations of the Borrower thereunder shall be secured pari passu by the
Collateral.

     Section 6.11.  Limitation on Dividends; Negative Pledges.  The Borrower
will not pay any dividends or make any other distributions on its capital stock
so long as a Default or an Event of Default shall have occurred and be
continuing, and it shall only make dividends or distributions on its capital
stock out of (i) its portion of Excess Cash Flow, (ii) any excess Event of Loss
Proceeds, Casualty Proceeds or loss of hire insurance proceeds after compliance
in full with Sections 2.11, 6.6 and 6.10, as applicable, (iii) the amount of the
stated operating dayrate (express or implicit) in any Substitute Contract paid
to the Borrower above the stated dayrate (express or implicit) in the Transocean
Contract for the applicable vessel but below the stated operating dayrate in the
Amoco Rig Contract in effect on the Conversion Date with respect to the Rig or
below $181,500 with respect to the Drillship, (iv) solely with respect to
dividends contemplated by clause (iii) of Section 5.5, the proceeds of Loans, or
(v) in the event that any optional prepayments of the Loans after the Conversion
Date are applied pro rata to the remaining payments of the Tranche B Term Loans
pursuant to the proviso to the penultimate sentence of Section 2.10(a), out of
any other funds (provided that dividends pursuant to this clause (v) shall not
exceed in the aggregate the aggregate amount of all such optional prepayments)
(all such permitted sources, the "Permitted Distribution Sources"). The Borrower
may not redeem, purchase or otherwise acquire any shares of its capital stock or
make any deposit for such purpose. The Borrower shall not enter into any
agreement (other than the Operative Documents) expressly and directly
prohibiting the creation or assumption of any Lien upon its properties, revenues
or assets, whether now owned or hereafter acquired, or prohibiting or
restricting the ability of the Borrower from amending or otherwise modifying
this Agreement or any other Credit Document, except that the Borrower (x) may do
so (1) in connection with the incurrence or assumption of any Indebtedness
permitted to exist pursuant to Section 6.15 (other than, subject to clause (y)
below, Section 6.15(d)), or (2) with respect to any particular property or asset
(or the revenues associated therewith), in connection with any permitted
transaction involving such property or asset (including, without limitation,
prohibitions in agreements on the assignment or granting of a Lien thereon) and
(y) may enter into any agreement with the Guarantor prohibiting or restricting
the ability of the Borrower from amending or otherwise modifying this Agreement
or any other Credit Documents.

     Section 6.12.  Restrictions on Fundamental Changes.  The Borrower shall not
be a party to any merger into or consolidation with, or purchase or otherwise
acquire all or substantially all of the assets or any of the stock of any other
Person, or (subject to Section 2.11(g)) sell the Drillship or the Rig or any of
its stock unless any such merger or consolidation is with the Guarantor or any
such sale is to the Guarantor and the Guarantor assumes the Borrower's
Obligations hereunder, and the Guarantor delivers to the Agent a legal opinion
in form and substance satisfactory to the Agent with respect to such merger,
consolidation or sale.

     Section 6.13.  Cash Flow Reserve.  On the Conversion Date, the Borrower
shall establish (but not then be required to fund) a single cash flow reserve
account with the Collateral Agent for both this 

                                      -51-
<PAGE>
 
Agreement and the Lease Securitization Facility, if applicable (the "Cash Flow
Reserve"). As used herein, the term "Cash Flow Reserve Required Amount" shall
mean $8,300,000, subject to reduction as set forth herein. If the Borrower shall
be unable for any reason to pay timely and in full any of its Obligations or LSF
Obligations becoming due and payable, the Borrower shall deposit (or cause to be
deposited) into the Cash Flow Reserve the incremental amount necessary for
Borrower to be able to pay timely and in full such Obligations and LSF
Obligations becoming due and payable, provided that the Borrower shall not be
obligated to make any deposit into the Cash Flow Reserve (pursuant to any
provision of this Section 6.13 or any comparable provision of the Lease
Securitization Facility), to the extent that, after giving effect to such
deposit, the aggregate amount theretofore at any time deposited by or on behalf
of the Borrower into the Cash Flow Reserve (pursuant to any provision of this
Section 6.13 or any comparable provision of the Lease Securitization Facility)
would exceed an amount equal to the Cash Flow Reserve Required Amount then in
effect less the aggregate amount of any prior deposits into the Cash Flow
Reserve (pursuant to any provision of this Section 6.13 or any comparable
provision of the Lease Securitization Facility) to the extent not repaid by the
Borrower to the Guarantor pursuant to the terms and conditions hereof or
(without duplication) recouped by the Borrower pursuant to the last sentence of
the definition of the term "Excess Cash Flow." The Borrower shall use (and the
Collateral Agent shall make available to the Borrower) the funds in the Cash
Flow Reserve to pay its Obligations, any of its LSF Obligations and/or any of
its Swap Obligations as they become due under the relevant documents, provided
that the funds in the Insurance Reserve shall first be used by the Borrower if a
loss of hire event, an Event of Loss or a Casualty Event shall have occurred.
The Borrower also may in its discretion fund or replenish the Cash Flow Reserve
from time to time from any source of funds to any extent (and such deposits
shall constitute funding or replenishment of the Cash Flow Reserve for purposes
of the last sentence of the definition of the term "Excess Cash Flow"). If the
Borrower shall elect a Vessel Financing Termination or if an Event of Loss shall
occur with respect to either the Drillship or the Rig, and the Borrower shall
make a mandatory prepayment of its Obligations of the Financed Amount or the
Vessel Amortization Payments for the applicable vessel as provided in Section
2.10(b) or 2.11(c), as applicable, the Cash Flow Reserve Required Amount shall
permanently be reduced by the Vessel Percentage thereof. The Collateral Agent
shall invest and reinvest the amounts in the Cash Flow Reserve in such Cash
Equivalents as the Borrower may specify from time to time, and shall liquidate
such investments as it may be directed from time to time by the Borrower (unless
an Event of Default shall have occurred and be continuing, in which event the
Borrower hereby authorizes the Collateral Agent to liquidate any such
investments in its sole discretion without any further direction or
authorization from the Borrower), and all such investments shall be deemed to
constitute part of the Cash Flow Reserve for all purposes of this Agreement. If
the amount of funds in the Cash Flow Reserve shall at any time exceed the Cash
Flow Reserve Required Amount (such as, for example, as a result of a prepayment
of the Loans pursuant to Section 2.10(b) or 2.11(c)), the Collateral Agent shall
upon the request of the Borrower release the excess amount to the Borrower. On
the Collateral Termination Date, all amounts in the Cash Flow Reserve shall be
released to the Borrower.

     Section 6.14.  Liens.  The Borrower shall not create, incur, assume or
suffer to exist any Lien of any kind on any property or asset of any kind of the
Borrower, except the following (collectively, the "Permitted Liens"):

     (a) Liens arising in the ordinary course of business by operation of law,
deposits, pledges or other Liens in connection with workers' compensation,
unemployment insurance, old age benefits, social security obligations, taxes,
assessments, public or statutory obligations or other similar charges, good
faith deposits, pledges or other Liens in connection with (or to obtain letters
of credit in connection with) bids, performance, return-of-money or payment
bonds, contracts or leases to which the Borrower is a party or other deposits
required to be made in the ordinary course of business; provided that in each
case the obligation secured is not for Indebtedness for borrowed money and is
not overdue or, if overdue, is being 

                                      -52-
<PAGE>
 
contested in good faith by appropriate proceedings and reserves in conformity
with GAAP have been provided therefor;

     (b) mechanics', workmen's, materialmen's, landlords', carriers' or other
similar Liens arising in the ordinary course of business (or deposits to obtain
the release of such Liens) related to obligations not overdue for more than
thirty (30) days, or, if so overdue, that are being contested in good faith by
appropriate proceedings and reserves in conformity with GAAP have been provided
therefor;

     (c) Liens for Taxes which are being contested in good faith by appropriate
proceedings and reserves in conformity with GAAP have been provided therefor;

     (d) Liens imposed by ERISA (or comparable foreign laws) which are being
contested in good faith by appropriate proceedings and reserves in conformity
with GAAP have been provided therefor;

     (e) Liens arising out of judgments or awards against the Borrower or in
connection with surety or appeal bonds or the like in connection with bonding
such judgments or awards, the time for appeal from which or petition for
rehearing of which shall not have expired or for which the Borrower shall be
prosecuting an appeal or proceeding for review, and for which it shall have
obtained (within thirty (30) days with respect to a judgment or award rendered
in the United States or within sixty (60) days with respect to a judgment or
award rendered in a foreign jurisdiction after entry of such judgment or award
or expiration of any previous such stay, as applicable) a stay of execution or
the like pending such appeal or proceeding for review; provided, that the
aggregate amount of uninsured or underinsured liabilities (including interest,
costs, fees and penalties, if any) of the Borrower secured by such Liens shall
not exceed $5,000,000 at any one time outstanding;

     (f) rights reserved to or vested in any municipality or governmental,
statutory or public authority by the terms of any right, power, franchise,
grant, license or permit, or by any provision of law, to terminate such right,
power, franchise, grant, license or permit or to purchase, condemn, expropriate
or recapture or to designate a purchaser of any of the property of a Person;

     (g) rights reserved to or vested in any governmental, statutory or public
authority to control, regulate or use any property of a Person;

     (h) Liens arising under Environmental Laws; and

     (i) Liens created by the Operative Documents or the LSF Operative
Documents.

     Section 6.15.  Indebtedness.  The Borrower shall not incur, assume or
suffer to exist any Indebtedness, except:

     (a) Indebtedness under the Operative Documents and/or under the LSF
Operative Documents;

     (b) Indebtedness incurred, assumed or existing in connection with the Liens
permitted by Section 6.14;

     (c) Interest Rate Protection Agreements as required by Section 6.10; and

     (d) unsecured Indebtedness to the Guarantor or any of its Subsidiaries so
long as (i) payment of such Indebtedness is subordinated to payment of the
Borrower's Obligations hereunder during the continuance of any Default or Event
of Default, and no payments of principal, interest or fees on such 

                                      -53-
<PAGE>
 
Indebtedness are scheduled to be made or made before the Maturity Date of the
Term Loans except for (w) Reimbursement Payments, (x) repayments after the
Conversion Date of the principal of, and accrued interest on, any borrowings
from the Guarantor or any of its Subsidiaries to fund Amoco or substitute
contracting party directed or requested capital expenditures out of payments
therefor by Amoco or any substitute contracting party in excess of Fixed
Operating Expenses, as applicable, (y) payments after the Conversion Date out of
any Permitted Distribution Sources, or (z) repayments after the Conversion Date
of the principal of, and accrued interest on, any borrowings from the Guarantor
or any of its Subsidiaries to fund or replenish the Cash Flow Reserve or the
Insurance Reserve (even if such funding of any such reserve was not at the time
required) or to fund the Transocean Drillship Differential, out of any incentive
or bonus payments under the Amoco Drillship Contract or any Permitted
Distribution Source or any Event of Loss Proceeds, Casualty Proceeds or loss of
hire insurance proceeds paid over to the Borrower pursuant to Section 6.6, in
each case so long as no Default or Event of Default shall have occurred and be
continuing, and (ii) the documentation with respect to such Indebtedness
otherwise is reasonably satisfactory to the Agent.

     Section 6.16.  Use of Property and Facilities; Environmental Laws.  The
Borrower shall comply in all material respects with all Environmental Laws
applicable to or affecting the properties or business operations of the
Borrower, where the failure to comply is reasonably likely to have a Material
Adverse Effect.

     Section 6.17.  Advances, Investments and Loans.  The Borrower shall not
lend money or make advances to any Person, guaranty any obligations of any
Person or purchase or acquire any stock, indebtedness, obligations or securities
of, or any other interest in, or make any capital contribution to, any other
Person (any of the foregoing, an "Investment") except:

     (a) Investments (including, without limitation, of the Cash Flow Reserve
and the Insurance Reserve) in Cash Equivalents and deposit accounts;

     (b) receivables owing to the Borrower created or acquired in the ordinary
course of business and payable on customary trade terms of the Borrower;

     (c) Investments received in connection with the bankruptcy or
reorganization of suppliers and customers and in settlement of delinquent
obligations of, and other disputes with, customers and suppliers arising in the
ordinary course of business;

     (d) Interest Rate Protection Agreements entered into in compliance with
Section 6.10;

     (e) deposits and progress payments made in the ordinary course of business;

     (f) unsubordinated demand loans to the Guarantor out of any Permitted
Distribution Sources; and

     (g) temporary Investments of cash not otherwise permitted above to the
extent the same is being held to fund reasonably anticipated working capital
needs, not to exceed the equivalent of $5,000,000 in the aggregate.

     Section 6.18.  Modifications of Corporate Documents and Contracts.  (a)
The Borrower shall not amend, modify or change in any way materially adverse to
the interests of the Lenders, its certificate of incorporation, by-laws or other
corporate governance documents.

                                      -54-
<PAGE>
 
     (b) The Borrower shall not amend, modify or change in any way any of the
Amoco Contracts, the Transocean Contracts or the Substitute Contracts (except as
specifically contemplated thereby) so as to reduce the length of the term
thereof, change in any respect materially adverse to the interests of the
Lenders any of the time and manner, or reduce the amount of, any of the payments
to be made thereunder by any party thereto other than the Borrower, reduce in
any respect materially adverse to the interests of the Lenders any of the
insurance required to be maintained thereunder or change in any respect
materially adverse to the interests of the Lenders any of the terms thereof, in
each case, without the consent of the Majority Lenders; provided, however, that
(i) the Borrower may amend, modify or change in any way the Functional
Requirements for the Drillship or the Rig with the consent of Amoco so long as
(x) such amendment, modification or change does not materially diminish the
value, useful life or anticipated utility of the applicable vessel as of the
Effective Date and (y) the anticipated increases in the aggregate construction
cost of the Drillship and the Rig (excluding capitalized interest) as a result
of all such amendments, modifications or changes of the Functional Requirements
after the date hereof shall not exceed $66,000,000 and (ii) the Borrower and the
Guarantor may terminate either or both of the Transocean Contracts if either (x)
the Tranche C Term Loans, together with all accrued and unpaid interest thereon,
any applicable breakage fees and funding losses pursuant to Section 2.13 and any
"true-up" costs and expenses payable by the Borrower to any Swap Party under the
Interest Rate Protection Agreement pursuant to Section 6.10 attributable to any
prepayment of the Tranche C Loans, shall have been paid in full, or (y) the
Borrower enters into a substitute contract (whether through an extension of
either of the Amoco Contracts or a new contract with Amoco or with another
Person) providing for the lease or employment of the Drillship or the Rig, as
applicable, the anticipated cash flow under which is no less than that under the
relevant Transocean Contract, containing collateral assignment provisions no
less favorable to the Borrower than the provisions of the applicable Amoco
Contract and containing non-financial terms and provisions (including, without
limitation, with respect to the operating dayrates, cost reimbursements, the
term, insurance, force majeure and defaults thereunder), that overall are no
less favorable to the Borrower than the non-financial terms and provisions of
the applicable Amoco Contract and otherwise are reasonably satisfactory to the
Agent, with Amoco or with another Person which has an investment grade rating of
at least BBB from S&P and Baa2 from Moody's and not on credit watch for a
downgrade of such ratings to below either such level, as applicable, and if the
Borrower provides to the Collateral Agent (for the benefit of, without
limitation, the Lenders) a Lien upon the Borrower's interest in any such
Substitute Contract pursuant to an assignment in substantially the form of
Exhibit 4.1C and obtains the consent of the substitute contracting party to such
assignment in form and substance reasonably satisfactory to the Agent. Any such
Substitute Contract shall be substituted for the applicable Transocean Contract
(i) when it shall have become effective, and (ii) when it shall have been
reasonably accepted by the Agent as a Substitute Contract in compliance with the
criteria contained herein as evidenced by a consent from the Agent to the
Borrower. The Agent shall promptly provide the Lenders with a copy of any
Substitute Rig Contract or Substitute Drillship Contract and its consent
thereto.

     (c) Prior to the Conversion Date, the Borrower shall not, without the
consent of the Majority Lenders, amend, modify or supplement, in each case in
any way materially adverse to the interests of the Lenders, including, without
limitation, reducing in any respect materially adverse to the interests of the
Lenders any of the insurance required to be maintained thereunder, the Drillship
Shipyard Construction Contract (or the requirement for and substance of any bank
guarantees issued or to be issued in connection therewith), the Rig Shipyard
Construction Contract or any other contract for the construction of the
Drillship or the upgrade of the Rig except to extend the construction period to
no later than December 31, 1998, and except for any Change Orders which (x)
aggregate less than $66,000,000 in the aggregate for the Drillship and the Rig
(excluding capitalized interest) and (y) does not materially change the
Functional Requirements for the applicable vessel so as to materially diminish
the value,  useful life or anticipated utility of the applicable vessel as of
the Effective Date.

                                      -55-
<PAGE>
 
     (d) The Borrower shall not, without the consent of the Majority Lenders,
amend, modify or supplement, in each case in any way materially adverse to the
interests of the Lenders, the License Agreement or the O&M Contracts.

     (e) The Borrower shall not, after the date hereof, enter into, or amend or
modify, any Operative Document, Substitute Contract or Interest Rate Protection
Agreement without the prior written consent of the Guarantor.

     Section 6.19.  Transfers of Assets.  The Borrower shall not permit any
Transfer of an asset (other than any vessel the subject of a Vessel Financing
Termination after the date hereof and related assets) except:

     (a) the Transfer of equipment and other assets in the ordinary course of
business;

     (b) the retirement or replacement of assets in the ordinary course of
business;

     (c) any Investment permitted by Section 6.17;

     (d) the Liens permitted by Section 6.14;

     (e) the Transfer of assets that are obsolete, worn out or no longer useful
in the business of the Borrower;

     (f) exchanges of assets that are of a like kind and value;

     (g) any Transfer of the Drillship or the Rig to the Guarantor pursuant to
Section 6.12; and

     (h) any Transfer permitted or effected under the O&M Contracts or the
Transocean Contracts.

     Section 6.20.  Transactions with Affiliates.  Except as otherwise
specifically permitted herein, the Borrower shall not enter into or engage in
any material transaction or arrangement or series of related transactions or
arrangements which in the aggregate would be material with any Affiliate, but
excluding the transactions and arrangements contemplated by the Operative
Documents and excluding any tax-sharing agreement between the Guarantor and the
Borrower, including without limitation, the purchase from, sale to or exchange
of property with or the rendering of any service by or for, any Affiliate,
except pursuant to the requirements of the Borrower's business and unless such
transaction or arrangement or series of related transactions or arrangements,
taken as a whole, is fair and equitable to the Borrower.

     Section 6.21.  Compliance with Laws.  Without limiting any of the other
covenants of the Borrower in this Section 6, the Borrower shall conduct its
business, and otherwise be, in compliance with all applicable laws, regulations,
ordinances and orders of any governmental or judicial authorities; provided,
however, that this Section 6.21 shall not require the Borrower to comply with
any such law, regulation, ordinance or order if (x) it shall be contesting such
law, regulation, ordinance or order in good faith by appropriate proceedings and
reserves in conformity with GAAP have been provided therefor, or (y) the failure
to comply therewith is not reasonably likely to have a Material Adverse Effect.

     Section 6.22.  Progress Reports.  The Borrower shall provide to the Agent
on or before ten (10) days after the end of each calendar quarter commencing
with December 31, 1996, (i) a written progress report in form and substance
reasonably satisfactory to the Agent which summarizes the progress of the
construction of the Drillship and the upgrade of the Rig, and (ii) a certificate
from the Borrower stating 

                                      -56-
<PAGE>
 
the then total construction cost estimate of each, the then total actual cost to
date, the then estimate of the date of Acceptance with respect to each of the
Rig and the Drillship, as applicable, the then actual percentage completion of
the construction of the Drillship and the upgrade of the Rig, respectively, and
any Change Order in excess of $5,000,000 with respect to the construction of the
Drillship and $3,000,000 with respect to the upgrade of the Rig.

     Section 6.23.  Bank Accounts.  The Borrower shall maintain separate bank
accounts from the Guarantors and its Subsidiaries.

     Section 6.24.  Notice of Change of Definitions.  The Borrower shall give
written notice to the Agent of any change of any of the definitions in the
Transocean Parent Credit Facility that would cause any change in any of the
definitions contained herein within five (5) days of any such change.  The Agent
shall in turn promptly provide such notice to the Lenders.

SECTION 7.  EVENTS OF DEFAULT AND REMEDIES.

     Section 7.1.  Events of Default.  Any one or more of the following shall
constitute an Event of Default:

     (a) default by the Borrower in the payment of the principal amount of any
Loan, any interest thereon or any fees payable hereunder within two (2) Business
Days following the date when due;

     (b) default by the Borrower in the observance or performance of any
covenant set forth in Section 6.7(e)(i) (if the Borrower shall have failed to
give the applicable written notice contemplated by Section 6.7(e)(i) within five
(5) days after a Senior Officer of the Borrower first having knowledge of the
occurrence of any Default or Event of Default), 6.11, 6.12, 6.18 or 6.19;

     (c) any event of default or default described in a Security Document, any
of the O&M Contracts or the License Agreement, other than any Events of Default
specifically provided in this Section 7.1, shall occur and remain unremedied
after any applicable grace period therefor, or if no grace period is provided
therein, the applicable grace period for purposes hereof shall be thirty (30)
days following notice to the Borrower by the Agent of the occurrence of such
event of default or default;

     (d) default by any Credit Party in the observance or performance of any
provision hereof or of any other Credit Document not mentioned in (a), (b) or
(c) above, which is not remedied within thirty (30) days after notice thereof to
the Borrower by the Agent;

     (e) any representation or warranty made or deemed made herein or in any
other Credit Document by the Borrower or the Guarantor proves untrue in any
material respect as of the date of the making, or deemed making, thereof;

     (f) default occurs in the payment when due of Indebtedness in an aggregate
principal amount of $5,000,000 or more when aggregated with any Indebtedness
described in Section 7.1(l) which is then in default, of the Borrower (other
than Indebtedness to the Guarantor or any of its Subsidiaries) after any
applicable grace period therefor, and such default, if in payment when due of
Indebtedness, continues for a period of time sufficient to permit the holder or
beneficiary of such Indebtedness, or a trustee therefor, to cause the
acceleration of the maturity of any such Indebtedness or any mandatory
unscheduled prepayment, purchase, or other early funding thereof;

                                      -57-
<PAGE>
 
     (g) the Borrower, the Guarantor, Amoco (during the stated term (other than
any portion thereof cancelled pursuant to the Free Cancellation Right) of either
Amoco Contract) or any substitute lessee under a Substitute Contract (during the
stated term of any such Substitute Contract) (i) has entered involuntarily
against it an order for relief under the United States Bankruptcy Code or a
comparable action is taken under any bankruptcy or insolvency law of another
country or political subdivision of such country, (ii) generally does not pay,
or admits its inability generally to pay, its debts as they become due, (iii)
makes a general assignment for the benefit of creditors, (iv) applies for,
seeks, consents to, or acquiesces in, the appointment of a receiver, custodian,
trustee, liquidator or similar official for it or any substantial part of its
property under the Bankruptcy Code or under the bankruptcy or insolvency laws of
another country or a political subdivision of such country, (v) institutes any
proceeding seeking to have entered against it an order for relief under the
United States Bankruptcy Code or any comparable law, to adjudicate it insolvent,
or seeking dissolution, winding up, liquidation, reorganization, arrangement,
adjustment or composition of it or its debts under any law relating to
bankruptcy, insolvency or reorganization or relief of debtors or fails to file
an answer or other pleading denying the material allegations of or consents to
or acquiesces in any such proceeding filed against it, (vi) makes any board of
directors resolution in direct furtherance of any matter described in clauses
(i)-(v) above, or (vii) fails to contest in good faith any appointment or
proceeding described in this Section 7.1(g);

     (h) a custodian, receiver, trustee, liquidator or similar official is
appointed for the Borrower, the Guarantor, Amoco (during the stated term (other
than any portion thereof cancelled pursuant to the Free Cancellation Right) of
either Amoco Contract), or any substitute lessee under a Substitute Contract
(during the stated term of any such Substitute Contract), or any substantial
part of its property under the Bankruptcy Code or under the bankruptcy or
insolvency laws of another country or a political subdivision of such country,
or a proceeding described in Section 7.1(g)(v) is instituted against the
Borrower, the Guarantor, Amoco or such substitute lessee, and such appointment
continues undischarged or such proceeding continues undismissed and unstayed for
a period of sixty (60) days (or one hundred twenty (120) days in the case of any
such event occurring outside the United States of America);

     (i) the Borrower or the Guarantor fails within thirty (30) days with
respect to a judgment or order that is rendered in the United States or sixty
(60) days with respect to a judgment or order that is rendered in a foreign
jurisdiction (or such earlier date as any execution on such judgment or order
shall take place) to vacate, pay, bond or otherwise discharge any judgment or
order for the payment of money the uninsured portion of which is in excess of
$5,000,000 with respect to the Borrower and $15,000,000 with respect to the
Guarantor and which is not stayed on appeal or otherwise being appropriately
contested in good faith in a manner that stays execution;

     (j) the Borrower fails to pay when due an amount aggregating in excess of
$5,000,000 that it is liable to pay to the PBGC or to a Plan under Title IV of
ERISA; or a notice of intent to terminate a Plan having Unfunded Vested
Liabilities of the Borrower in excess of $5,000,000 (a "Material Plan") is filed
under Title IV of ERISA; or the PBGC institutes proceedings under Title IV of
ERISA to terminate or to cause a trustee to be appointed to administer any
Material Plan or a proceeding is instituted by a fiduciary of any Material Plan
against the Borrower or to collect any liability under Section 515 or 4219(c)(5)
of ERISA, and in each case such proceeding is not dismissed within thirty (30)
days thereafter; or a condition exists by reason of which the PBGC would be
entitled to obtain a decree adjudicating that any Material Plan must be
terminated;

     (k) any Credit Party or any Person authorized to act on behalf of a Credit
Party challenges the validity of any Credit Document or such Credit Party's
obligations thereunder in any material respect, or any Credit Document ceases,
other than in accordance with its terms, to be valid and binding or ceases, 

                                      -58-
<PAGE>
 
in any material respect, other than in accordance with its terms, to give to the
Agent and the Lenders the Liens, rights, and powers purported to be granted in
their favor thereby;

     (l) the Borrower shall default in any payment under any Interest Rate
Protection Agreement required pursuant to Section 6.10 when obligated to make
such payment, whether by acceleration or otherwise, and such payment default
shall continue after any applicable grace period and be in an amount in excess
of $5,000,000 when aggregated with all Indebtedness described in Section 7.1(f)
which is then in default as described in Section 7.1(f);

     (m) the Guarantor shall fail to directly or indirectly own one hundred
percent (100%) of the stock of the Borrower;

     (n) any event of default under the Transocean Performance Guaranty shall
occur and shall be continuing (it being understood and agreed that such event of
default shall cease to be "continuing" for the purposes of this Agreement when
it shall cease to constitute a continuing event of default under the Transocean
Performance Guaranty for any reason (including, without limitation, as a result
of the curing thereof or any waiver or modification thereunder)) after any
applicable grace period therefor;

     (o) any event of default shall occur under the Transocean Parent Credit
Facility and shall be continuing (it being understood and agreed that such event
of default shall cease to be "continuing" for the purposes of this Agreement
when it shall cease to constitute a continuing event of default under the
Transocean Parent Credit Facility for any reason (including, without limitation,
as a result of the curing thereof or any waiver or modification thereunder))
after any applicable grace period therefor; provided that after the Conversion
Date, such event shall not be an Event of Default hereunder so long as the Cash
Flow Reserve and the Insurance Reserve shall be funded to the maximum extent
that the Borrower then could be required to fund such accounts pursuant to
Section 6.6(c) or 6.13; or

     (p) any default (as defined in the applicable contract) or event of default
(as defined in the applicable contract) under any of the Amoco Contracts, the
Transocean Contracts or the Substitute Contracts shall occur prior to the
Maturity Date of the Term Loans and shall be continuing (it being understood and
agreed that such default or event of default shall cease to be "continuing" for
the purposes of this Agreement when it shall cease to constitute a continuing
default or event of default under any such agreement for any reason (including
without limitation as a result of the curing thereof or any waiver or
modification thereunder)) after any applicable grace period therefor, or any of
such contracts shall be cancelled or terminated (other than if a cancellation
fee or termination fee is to be paid pursuant to the terms thereof, other than
the free cancellation provided in the Amoco Rig Contract and other than any
termination of a Transocean Contract in accordance with Section 6.18) or
otherwise no longer in full force and effect prior to the stated term thereof,
including, without limitation, as a result of an Event of Loss or Casualty Loss
(unless the Borrower is in compliance with Section 2.11(c) or (d), as
applicable, and Sections 6.6(c) and 6.13) or an event of Force Majeure;
provided, that it shall not be an Event of Default hereunder if the Borrower
shall be contesting in good faith any dispute in connection with any of such
contracts so long as reserves in accordance with GAAP are established and all
Obligations of the Borrower are being timely paid hereunder.

     Section 7.2.  Non-Bankruptcy Defaults.  When any Event of Default (other
than those described in subsection (g) or (h) of Section 7.1 with respect to the
Borrower) has occurred and is continuing, the Agent shall, by notice to the
Borrower: (a) if so directed by the Majority Lenders, terminate the remaining
Commitments to the Borrower hereunder on the date stated in such notice (which
may be the date thereof); and (b) if so directed by the Majority Lenders,
declare the principal of and the accrued interest on all outstanding Notes to be
forthwith due and payable and thereupon all outstanding Notes, including both

                                      -59-
<PAGE>
 
principal and interest thereon, shall be and become immediately due and payable
together with all other accrued amounts payable under the Credit Documents
without further demand, presentment, protest or notice of any kind, including,
but not limited to, notice of intent to accelerate and notice of acceleration,
each of which is expressly waived by the Borrower.  The Agent, after giving
notice to the Borrower pursuant to Section 7.1(c) or this Section 7.2, shall
also promptly send a copy of such notice to the other Lenders, but the failure
to do so shall not impair or annul the effect of such notice.

     Section 7.3.  Bankruptcy Defaults.  When any Event of Default described in
subsection (g) or (h) of Section 7.1 has occurred and is continuing with respect
to the Borrower, then all outstanding Notes shall immediately become due and
payable together with all other accrued amounts payable under the Credit
Documents without presentment, demand, protest or notice of any kind, each of
which is expressly waived by the Borrower; and all obligations of the Lenders to
extend further Credit pursuant to any of the terms hereof shall immediately
terminate.

     Section 7.4.  Notice of Default.  The Agent shall give notice to the
Borrower under Sections 7.1(c) and 7.2 promptly upon being requested to do so by
the Majority Lenders and shall thereupon notify all the Lenders thereof.

SECTION 8.  CHANGE IN CIRCUMSTANCES.

     Section 8.1.  Change of Law.  (a)  Notwithstanding any other provisions of
this Agreement or any Note, if at any time any change, after the date hereof
(or, if later, after the date the Agent or a Lender becomes the Agent or a
Lender), in applicable law or regulation or in the interpretation thereof makes
it unlawful for any Lender to make or continue to maintain Eurodollar Loans,
such Lender shall promptly give written notice thereof and of the basis therefor
in reasonable detail to the Borrower and such Lender's obligations to make,
continue or convert Loans into Eurodollar Loans under this Agreement shall
thereupon be suspended until it is no longer unlawful for such Lender to make or
maintain Eurodollar Loans.

          (b) Upon the giving of the notice to Borrower referred to in
subsection (a) above, (i) any outstanding Eurodollar Loan of such Lender shall
be automatically converted to a Base Rate Loan on the last day of the Interest
Period then applicable thereto or on such earlier date as required by law, and
(ii) such Lender shall make an advance as part of any requested Borrowing of
Eurodollar Loans as a Base Rate Loan, which Base Rate Loan shall, for all other
purposes, be considered part of such Borrowing.

          (c) Any Lender that has given any notice pursuant to Section 8.1(a)
shall, upon determining that it would no longer be unlawful for it to make
Eurodollar Loans, give prompt written notice thereof to the Borrower and the
Agent, and upon giving such notice, its obligation to make, allow conversions
into and maintain Eurodollar Loans shall be reinstated.

     Section 8.2.  Unavailability of Deposits or Inability to Ascertain LIBOR
Rate.  If on or before the first day of any Interest Period for any Borrowing of
Eurodollar Loans the Agent determines in good faith (after consultation with the
Lenders) that, due to changes in circumstances since the date hereof, adequate
and fair means do not exist for determining the Adjusted LIBOR Rate or such rate
will not accurately reflect the cost to the Majority Lenders of funding
Eurodollar Loans for such Interest Period, the Agent shall give written notice
(in reasonable detail) of such determination and of the basis therefor to the
Borrower and the Lenders, whereupon until the Agent notifies the Borrower and
Lenders that the circumstances giving rise to such suspension no longer exist
(which the Agent shall do promptly after they do not exist), (i) the obligations
of the Lenders to make, continue or convert Loans into Eurodollar Loans, or to
convert Base Rate Loans into Eurodollar Loans, shall be suspended and (ii) each
Eurodollar Loan will automatically on the last day of the then existing Interest
Period therefor, convert into a Base Rate Loan.

                                      -60-
<PAGE>
 
     Section 8.3.  Increased Cost and Reduced Return.  (a) If, on or after the
date hereof, the adoption of or any change in any applicable law, rule or
regulation, or any change in the interpretation or administration thereof by any
governmental authority, central bank or comparable agency charged with the
interpretation or administration thereof, or compliance by any Lender (or its
Lending Office) with any request or directive (whether or not having the force
of law) of general applicability of any such authority, central bank or
comparable agency exercising control over banks or financial institutions
generally issued after the date hereof (or, if later, after the date the Agent
or such Lender becomes the Agent or a Lender) (other than any request or
directive requesting or in effect requiring compliance with any applicable law,
rule or regulation imposing or in effect imposing a fine or a penalty for any
failure to comply with any such law, rule or regulation):

          (i) subjects any Lender (or its Lending Office) to any tax, duty or
other similar charge related to any Eurodollar Loan, or its participation in any
thereof, or its obligation to advance or maintain Eurodollar Loans or to
participate therein, or shall change the basis of taxation of payments to any
Lender (or its Lending Office) of the principal of or interest on its Eurodollar
Loans or participations therein, or any other amounts due under this Agreement
related to its Eurodollar Loans or participations therein, or its obligation to
make Eurodollar Loans or acquire participations therein (except for changes with
respect to income or franchise taxes excluded from indemnification pursuant to
Section 3.3); or

          (ii) imposes, modifies or deems applicable any reserve, special
deposit or similar requirement (including, without limitation, any such
requirement imposed by the Board of Governors of the Federal Reserve System, but
excluding for any Eurodollar Loan any such requirement included in an
applicable Eurodollar Reserve Percentage) against assets of, deposits with or
for the account of, or credit extended by, any Lender (or its Lending Office) or
imposes on any Lender (or its Lending Office) or on the interbank market any
other condition affecting its Eurodollar Loans owed to it, or its participation
in any thereof, or its obligation to advance or maintain Eurodollar Loans or
participate in any thereof;

and the result of any of the foregoing is to increase in the future the cost to
such Lender (or its Lending Office) of advancing or maintaining any Eurodollar
Loan or participating therein, or to reduce in the future the amount of any sum
received or receivable by such Lender (or its Lending Office) in connection
therewith under this Agreement or its Note(s), by an amount deemed by such
Lender to be material, then, subject to Section 8.3(c), from time to time,
within thirty (30) days after receipt of a certificate from such Lender (with a
copy to the Agent) pursuant to subsection (c) below setting forth in reasonable
detail such determination and the basis thereof, the Borrower shall be obligated
to pay to such Lender such additional amount or amounts as will compensate such
Lender for such future increased cost or reduction.

     (b) If, on or after the date hereof, the Agent or any Lender shall have
reasonably determined that (i) the adoption after the date hereof of (x) any
applicable law, rule or regulation regarding capital adequacy, (y) any change
therein (including, without limitation, any revision after the date hereof in
the Final Risk-Based Capital Guidelines of the Board of Governors of the Federal
Reserve System (12 CFR Part 208, Appendix A; 12 CFR Part 225, Appendix A) or of
the Office of the Comptroller of the Currency (12 CFR Part 3, Appendix A), or in
any other applicable capital adequacy rules heretofore adopted and issued by any
governmental authority), (ii) any change after the date hereof in the
interpretation or administration thereof by any governmental authority, central
bank or comparable agency charged with the interpretation or administration of
any such applicable law, rule or regulation regarding capital adequacy, or (iii)
compliance by the Agent or any Lender (or its Lending Office) with any request
or directive of general applicability issued after the date hereof regarding
capital adequacy (whether or not having the force of law) of any such authority,
central bank or comparable agency (other than any request or directive requiring
or in effect requiring compliance with any applicable law, rule or regulation
regarding capital adequacy or imposing fines or penalties for any failure to
comply with any such law, rule 

                                      -61-
<PAGE>
 
or regulation), has or would have the effect of reducing in the future the rate
of return on such Lender's capital, or on the capital of any corporation
controlling such Lender, as a consequence of its obligations hereunder to a
level below that which such Lender or such corporation could have achieved but
for such adoption, change or compliance (taking into consideration such Lender's
or its controlling corporation's policies with respect to capital adequacy in
effect immediately before such adoption, change or compliance) by an amount
reasonably deemed by such Lender to be material, then, subject to Section
8.3(c), from time to time, within thirty (30) days after its receipt of a
certificate from such Lender (with a copy to the Agent) pursuant to subsection
(c) below setting forth in reasonable detail such determination and the basis
thereof, the Borrower shall pay to such Lender such additional amount or amounts
as will compensate such Lender or such corporation for such future reduced
return or the Borrower may prepay all Eurodollar Loans of such Lender.

     (c) The Agent and each Lender that determines to seek compensation under
this Section 8.3 shall give written notice to the Borrower and, in the case of a
Lender other than the Lender which is the Agent, the Agent of the circumstances
that entitle the Agent or such Lender to such compensation no later than ninety
(90) days after such Lender receives actual notice or obtains actual knowledge
of the law, rule, order or interpretation or occurrence of another event giving
rise to a claim hereunder.  In any event the Borrower shall not have any
obligation to pay any amount with respect to claims accruing, or for periods,
prior to the ninetieth day preceding such written demand.  The Agent and each
Lender shall use reasonable efforts to avoid the need for, or reduce the amount
of, such compensation and any payment under Section 3.3, including, without
limitation, the designation of a different Lending Office, if such action or
designation will not, in the sole judgment of the Agent or such Lender made in
good faith, be otherwise disadvantageous to it; provided that the foregoing
shall not in any way affect the rights of any Lender or the obligations of the
Borrower under this Section 8.3, and provided further that no Lender shall be
obligated to make its Eurodollar Loans hereunder at any office located in the
United States of America. A certificate of the Agent or any Lender, as
applicable, claiming compensation under this Section 8.3 and setting forth the
additional amount or amounts to be paid to it hereunder and accompanied by a
statement prepared by the Agent or such Lender, as applicable, describing in
reasonable detail the calculations thereof shall be rebuttable presumptive
evidence thereof in the absence of manifest error. In determining such amount,
such Lender may use any reasonable averaging and attribution methods.

     Section 8.4.  Lending Offices.  The Agent and each Lender may, at its
option, elect to make its Loans hereunder at the Lending Office for each type of
Loan available hereunder or at such other of its branches, offices or affiliates
as it may from time to time elect and designate in a written notice to the
Borrower and the Agent, provided that, except that in the case of any such
transfer to another of its branches, offices or affiliates made at the request
of the Borrower, the Borrower shall not be responsible for the costs arising
under Section 3.3 or 8.3 resulting from any such transfer to the extent not
otherwise applicable to such Lender prior to such transfer.

     Section 8.5.  Discretion of Lender as to Manner of Funding.  Subject to the
other provisions of this Agreement, each Lender shall be entitled to fund and
maintain its funding of all or any part of its Loans in any manner it sees fit.

     Section 8.6.  Substitution of Lender.  If (a) any Lender has demanded
compensation or given notice of its intention to demand compensation under
Section 8.3, (b) the Borrower is required to pay any additional amount to any
Lender under Section 2.13, (c) any Lender is unable to submit any form or
certificate required under Section 3.3(b) or withdraws or cancels any previously
submitted form with no substitution therefor, (d) any Lender gives notice of any
change in law or regulations, or in the interpretation thereof, pursuant to
Section 8.1, (e) any Lender has been declared insolvent or a receiver or
conservator has been appointed for a material portion of its assets, business or
properties or (f) any 

                                      -62-
<PAGE>
 
Lender shall seek to avoid its obligation to make Loans hereunder for any
reason, including, without limitation, reliance upon 12 U.S.C. (S) 1821(e) or
(n) (1) (B), (g) any Taxes referred to in Section 3.3 have been levied or
imposed (or the Borrower determines in good faith that there is a substantial
likelihood that such Taxes will be levied or imposed) so as to require
withholding or deductions by the Borrower or payment by the Borrower of
additional amounts to any Lender, or other reimbursement or indemnification of
any Lender, as a result thereof, (h) any Lender shall decline to consent to a
modification or waiver of the terms of this Agreement or any other Operative
Document requested by the Borrower, or (i) any Lender fails to maintain a short-
term rating of A-1 from S&P and P-1 from Moody's (unless otherwise agreed by the
Agent, the Borrower and the Guarantor), then and in such event, upon request
from the Borrower delivered to such Lender and the Agent (provided, however,
that if the Borrower fails to give such request and an event specified in (i)
shall have occurred, no such request shall be required), such Lender shall
assign, in accordance with the provisions of Section 10.10 and an appropriately
completed Assignment Agreement, all of its rights and obligations under the
Credit Documents to another Lender or a commercial banking institution with the
requisite ratings (unless otherwise agreed by the Agent, the Borrower and the
Guarantor) selected by the Borrower and reasonably satisfactory to the Agent, or
if the Borrower fails to make such selection, by the Agent, in consideration for
the payments set forth in such Assignment Agreement and payment by the Borrower
to such Lender of all other amounts which such Lender may be owed pursuant to
this Agreement, including, without limitation, Sections 2.13, 3.3, 8.3 and 10.13
(it being understood that in no event is the Borrower or the Agent obligated to
any Lender (as opposed to being entitled) to provide a Person to purchase any
interest of such Lender). Each Lender shall provide prompt written notice to the
Agent and the Borrower of any failure by it to maintain a short-term rating of 
A-1 from S&P and P-1 from Moody's.

SECTION 9.  THE AGENTS.

     Section 9.1.  Appointment and Authorization of Agent, Co-Agents and
Collateral Agent.  Each Lender hereby appoints ABN AMRO as Agent and Collateral
Agent, and each of the Co-Agents named herein as Co-Agents, under the Credit
Documents and hereby authorizes the Agent, the Co-Agents and the Collateral
Agent to take such action as the Agent, the Co-Agents, and the Collateral Agent
on each of its behalf, as applicable, and to exercise such powers, under the
Credit Documents as are delegated to the Agent, the Co-Agents and the Collateral
Agent, respectively, by the terms thereof, together with such powers as are
reasonably incidental thereto.

     Section 9.2.  Rights and Powers.  The Agent, the Co-Agents and the
Collateral Agent shall have the same rights and powers under the Credit
Documents as any other Lender and may exercise or refrain from exercising such
rights and power as though it were not an Agent, a Co-Agent or a Collateral
Agent, and the Agent, the Co-Agents and the Collateral Agent and their
respective Affiliates may accept deposits from, lend money to, and generally
engage in any kind of business with the Borrower or any of its Affiliates as if
it were not an Agent, a Co-Agent or a Collateral Agent under the Credit
Documents.  The term Lender as used in all Credit Documents, unless the context
otherwise clearly requires, includes the Agent, the Co-Agents or the Collateral
Agent, in their respective individual capacities as a Lender.

     Section 9.3.  Action by Agent, Co-Agents and Collateral Agent.  The
obligations of the Agent, the Co-Agents and the Collateral Agent under the
Credit Documents are only those expressly set forth therein.  Without limiting
the generality of the foregoing, the Agent shall not be required to take any
action concerning any Default or Event of Default, except as expressly provided
in Sections 7.2 and 7.4.  Unless and until the Majority Lenders give such
direction the Agent may, except as otherwise expressly provided herein or
therein, take or refrain from taking such actions as it deems appropriate and in
the best interest of all the Lenders.  In no event, however, shall the Agent,
the Co-Agents or the Collateral Agent be required to take any action in
violation of applicable law or of any provision of any Credit Document, and 

                                      -63-
<PAGE>
 
each of the Agent, the Co-Agents and the Collateral Agent shall in all cases be
fully justified in failing or refusing to act hereunder or under any other
Operative Document unless it first receives any further assurances of its
indemnification from the Lenders that it may require, including prepayment of
any related expenses and any other protection it requires against any and all
costs, expenses, and liabilities it may incur in taking or continuing to take
any such action. The Agent shall be entitled to assume that no Default or Event
of Default exists unless notified in writing to the contrary by a Lender or the
Borrower. In all cases in which the Credit Documents do not require the Agent,
the Co-Agents or the Collateral Agent to take specific action, the Agent and the
Collateral Agent shall be fully justified in using its discretion in failing to
take or in taking any action thereunder. Any instructions of the Majority
Lenders, or of any other group of Lenders called for under specific provisions
of the Credit Documents, shall be binding on all the Lenders and holders of
Notes.

     Section 9.4.  Consultation with Experts.  Each of the Agent, the Co-Agents
and the Collateral Agent may consult with legal counsel, independent public
accountants, engineers and other experts selected by it and shall not be liable
for any action taken or omitted to be taken by it in good faith in accordance
with the advice of such counsel, accountants or experts.

     Section 9.5.  Indemnification Provisions; Credit Decision.  Neither the
Agent, the Co-Agents, the Collateral Agent, nor any of their directors,
officers, agents, or employees shall be liable for any action taken or not taken
by them in connection with the Credit Documents (i) with the consent or at the
request of the Majority Lenders or (ii) in the absence of their own gross
negligence or willful misconduct.  Neither the Agent, the Co-Agents, the
Collateral Agent, nor any of their directors, officers, agents or employees
shall be responsible for or have any duty to ascertain, inquire into or verify
(i) any statement, warranty or representation made in connection with this
Agreement, any other Operative Document or any Borrowing; (ii) the performance
or observance of any of the covenants or agreements of the Borrower contained
herein or in any other Operative Document; (iii) the satisfaction of any
condition specified in Section 4, except receipt of items required to be
delivered to the Agent; or (iv) the validity, effectiveness, genuineness,
enforceability, value, worth or collectability hereof or of any other Operative
Document or of any other documents or writing furnished in connection with any
Operative Document; and the Agent, the Co-Agents and the Collateral Agent make
no representation of any kind or character with respect to any such matters
mentioned in this sentence. The Agent, the Co-Agents and the Collateral Agent
may execute any of their duties under any of the Operative Documents by or
through employees, agents, and attorneys-in-fact and shall not be answerable to
the Lenders or any other Person for the default or misconduct of any such agents
or attorneys-in-fact selected with reasonable care. The Agent, the Co-Agents and
the Collateral Agent shall not incur any liability by acting in reliance upon
any notice, consent, certificate, other document or statement (whether written
or oral) believed by it to be genuine or to be sent by the proper party or
parties. In particular and without limiting any of the foregoing, the Agent, the
Co-Agents and the Collateral Agent shall have no responsibility for confirming
the accuracy of any certificate or other document or instrument received by any
of them under the Credit Documents. The Agent, the Co-Agents and the Collateral
Agent may treat the payee of any Note as the holder thereof until written notice
of transfer shall have been filed with such Agent signed by such owner in form
satisfactory to such agent. Each Lender acknowledges that it has independently
and without reliance on the Agent, the Co-Agents, the Collateral Agent, or any
other Lender obtained such information and made such investigations and
inquiries regarding the Borrower as it deems appropriate, and based upon such
information, investigations and inquiries, made its own credit analysis and
decision to extend credit to the Borrower in the manner set forth in the Credit
Documents. It shall be the responsibility of each Lender to keep itself informed
about the creditworthiness and business, properties, assets, liabilities,
condition (financial or otherwise) and prospects of the Borrower and the
Guarantor, and the Agent, the Co-Agents and the Collateral Agent shall have no
liability whatsoever to any Lender for such matters. The Agent, the Co-Agents
and the Collateral Agent shall have no duty to disclose to the Lenders
information that is not required by any Credit Document to be furnished by the
Borrower  

                                      -64-
<PAGE>
 
to such agent at such time, but is voluntarily furnished to such agent (either
in their respective capacity as Agent, the Co-Agents or the Collateral Agent or
in their individual capacity).

     Section 9.6.  Indemnity.  The Lenders shall ratably, in accordance with
their Percentages, indemnify and hold harmless the Agent, the Co-Agents, the
Collateral Agent, and their directors, officers, employees, agents and
representatives from and against any liabilities, losses, costs or expenses
suffered or incurred by it or by any security trustee under any Credit Document
or in connection with the transactions contemplated thereby, regardless of when
asserted or arising, except to the extent they are promptly reimbursed for the
same by the Borrower and except to the extent that any event giving rise to a
claim was caused by the gross negligence or willful misconduct of the party
seeking to be indemnified.  The obligations of the Lenders under this Section
9.6 shall survive termination of this Agreement.

     Section 9.7.  Resignation of Agent and Successor Agent.  The Agent, the Co-
Agents and the Collateral Agent may resign at any time and shall resign upon any
removal thereof as a Lender pursuant to the terms of this Agreement upon at
least thirty (30) days' prior written notice to the Lenders and the Borrower.
Any resignation of the Agent or the Collateral Agent shall not be effective
until a replacement therefor is appointed pursuant to the terms hereof.  Upon
any such resignation of the Agent or the Collateral Agent, the Majority Lenders
and the requisite Lenders under the Lease Securitization Facility, if
applicable, with the consent of the Borrower, which consent shall not be
unreasonably withheld, shall have the right to appoint a successor Agent or
Collateral Agent, as the case may be.  If no successor Agent or Collateral
Agent, as the case may be, shall have been so appointed by the Majority Lenders
and the requisite Lenders under the Lease Securitization Facility, if
applicable, and shall have accepted such appointment within thirty (30) days
after the retiring Agent's or Collateral Agent's giving of notice of
resignation, then the retiring Agent or Collateral Agent, as the case may be,
may, on behalf of the Lenders and with the consent of the Borrower, which
consent shall not be unreasonably withheld or delayed, appoint a successor Agent
or Collateral Agent, as the case may be, which shall be any Lender hereunder or
any commercial bank organized under the laws of the United States of America or
of any State thereof and having a combined capital and surplus of at least
$1,000,000,000. Upon the acceptance of its appointment as the Agent or the
Collateral Agent hereunder, such successor Agent or Collateral Agent, as the
case may be, shall thereupon succeed to and become vested with all the rights
and duties of the retiring Agent or Collateral Agent, as the case may be, under
the Credit Documents, and the retiring Agent or Collateral Agent shall be
discharged from its duties and obligations thereunder. After any retiring
Agent's, Co-Agent's or Collateral Agent's resignation hereunder as Agent, Co-
Agent or Collateral Agent, as the case may be, the provisions of this Section 9
and all protective provisions of the other Credit Documents shall inure to its
benefit as to any actions taken or omitted to be taken by it while it was Agent,
Co-Agent or Collateral Agent, as the case may be.

SECTION 10.  MISCELLANEOUS.

     Section 10.1.  No Waiver.  No delay or failure on the part of the Agent or
any Lender, or on the part of the holder or holders of any Notes, in the
exercise of any power, right or remedy under any Credit Document shall operate
as a waiver thereof or as an acquiescence in any default, nor shall any single
or partial exercise thereof preclude any other or further exercise of any other
power, right or remedy.  To the fullest extent permitted by applicable law, the
powers, rights and remedies under the Credit Documents of the Agent, the Lenders
and the holder or holders of any Notes are cumulative to, and not exclusive of,
any powers, rights or remedies any of them would otherwise have.

     Section 10.2.  Non-Business Day.  Subject to Section 2.6, if any payment of
principal or interest on any Loan or of any other Obligation shall fall due on a
day which is not a Business Day, interest or fees (as applicable) at the rate,
if any, such Loan or other Obligation bears for the period prior to maturity
shall 

                                      -65-
<PAGE>
 
continue to accrue in the manner set forth herein on such Obligation from the
stated due date thereof to the next succeeding Business Day, on which the same
shall instead be payable.

     Section 10.3.  Documentary Taxes.  The Borrower agrees that it will pay any
documentary, stamp or similar taxes payable with respect to any Credit Document,
including interest and penalties, in the event any such taxes are assessed
irrespective of when such assessment is made, other than any such taxes imposed
as a result of any transfer of an interest in a Credit Document.

     Section 10.4.  Survival of Representations.  All representations and
warranties made herein or in certificates given pursuant hereto shall survive
the execution and delivery of this Agreement and the other Credit Documents, and
shall continue in full force and effect with respect to the date as of which
they were made as long as the Borrower has any Obligation hereunder or any
Commitment hereunder is in effect.

     Section 10.5.  Survival of Indemnities.  All indemnities and all provisions
relative to reimbursement to the Lenders of amounts sufficient to protect the
yield of the Lenders with respect to the Loans, including, but not limited to,
Section 2.13, Section 3.3, Section 8.3, Section 10.3 and Section 10.13, shall,
subject to Section 8.3(c), survive the termination of this Agreement and the
other Credit Documents and the payment of the Loans and all other Obligations
and, with respect to any Lender, any replacement by the Borrower of such Lender
pursuant to the terms hereof, in each case for a period of one (1) year.

     Section 10.6.  Setoff.  In addition to any rights now or hereafter granted
under applicable law and not by way of limitation of any such rights, upon the
occurrence of, and throughout the continuance of, any Event of Default, each
Lender and each subsequent holder of any Note is hereby authorized by the
Borrower at any time or from time to time, without notice to the Borrower or any
other Person, any such notice being hereby expressly waived, to set off and to
appropriate and to apply any and all deposits (general or special, including,
but not limited to, Indebtedness evidenced by certificates of deposit, whether
matured or unmatured, but not including trust accounts, and in whatever currency
denominated) and any other Indebtedness at any time owing by that Lender or that
subsequent holder to or for the credit or the account of the Borrower, whether
or not matured, against and on account of the due and unpaid obligations and
liabilities of the Borrower to that Lender or that subsequent holder under the
Credit Documents, irrespective of whether or not that Lender or that subsequent
holder shall have made any demand hereunder.  Each Lender shall promptly give
notice to the Borrower of any action taken by it under this Section 10.6,
provided that any failure of such Lender to give such notice to the Borrower
shall not affect the validity of such setoff.  Each Lender agrees with each
other Lender a party hereto that if such Lender receives and retains any
payment, whether by setoff or application of deposit balances or otherwise, on
any of the Loans in excess of its ratable share of payments on all such
Obligations then owed to the Lenders hereunder, then such Lender shall purchase
for cash at face value, but without recourse, ratably from each of the other
Lenders such amount of the Loans, or participations therein, held by each such
other Lender as shall be necessary to cause such Lender to share such excess
payment ratably with all the other Lenders; provided, however, that if any such
purchase is made by any Lender, and if such excess payment or part thereof is
thereafter recovered from such purchasing Lender, the related purchases from the
other Lenders shall be rescinded ratably and the purchase price restored as to
the portion of such excess payment so recovered, but without interest.

     Section 10.7.  Notices.  Except as otherwise specified herein, all notices
under the Credit Documents shall be in writing (including cable, telecopy or
telex) and shall be given to a party hereunder at its address, telecopier number
or telex number set forth below or such other address, telecopier number or
telex number as such party may hereafter specify by notice to the Agent and the
Borrower, given by 

                                      -66-
<PAGE>
 
courier, by United States certified or registered mail, by telegram or by other
telecommunication device capable of creating a written record of such notice and
its receipt. Notices under the Credit Documents to the Lenders and the Agent
shall be addressed to their respective addresses, telecopier or telex number, or
telephone numbers set forth on the signature pages hereof, and to the Borrower
to:

                    Transocean Enterprise Inc.
                    4 Greenway Plaza
                    Houston, Texas 77046
                    Attention:  Mr. Robert L. Long
                    Telephone No.:  (713) 871-7500
                    Fax No.:  (713) 850-3818

With a copy to:
                    Hughes Hubbard & Reed LLP
                    Attention:  Mr. John K. Hoyns
                    One Battery Park Plaza
                    New York, New York  10004-1482
                    Telephone No.:  (212) 837-6000
                    Fax No.:  (212) 422-4726

     Each such notice, request or other communication shall be effective (i) if
given by telecopier, when such telecopy is transmitted to the telecopier number
specified in this Section 10.7, on the signature pages hereof or pursuant to
Section 10.10 and a confirmation of receipt of such telecopy has been received
by the sender, (ii) if given by telex, when such telex is transmitted to the
telex number specified in this Section 10.7, on the signature pages hereof or
pursuant to Section 10.10 and the answerback is received by sender, (iii) if
given by courier, when delivered, (iv) if given by mail, five (5) days after
such communication is deposited in the mail, certified or registered with return
receipt requested, or (v) if given by any other means, when delivered at the
addresses specified in this Section 10.7, on the signature pages hereof or
pursuant to Section 10.10; provided that any notice given pursuant to Section 2
shall be effective only upon receipt and, provided, further, that any notice
that but for this proviso would be effective after the close of business on a
Business Day or on a day that is not a Business Day shall be effective at the
opening of business on the next Business Day.

     Section 10.8.  Counterparts.  This Agreement may be executed in any number
of counterparts, and by the different parties on different counterpart signature
pages, each of which when executed shall be deemed an original, but all such
counterparts taken together shall constitute one and the same Agreement.

     Section 10.9.  Successors and Assigns.  This Agreement shall be binding
upon the Borrower, each of the Lenders, the Agent, the Collateral Agent, the Co-
Agents and their respective successors and assigns, and shall inure to the
benefit of the Borrower, each of the Lenders, the Agent, the Collateral Agent,
the Co-Agents and their respective successors and assigns, including any
subsequent holder of any Note; provided, however, the Borrower may not assign
any of its rights or obligations under this Agreement or any other Credit
Document without the written consent of all Lenders, the Agent, and the
Collateral Agent, and the Agent, the Co-Agents and the Collateral Agent may not
assign any of their respective rights or obligations under this Agreement or any
other Credit Document except in accordance with Section 9 and no Lender may
assign any of its rights or obligations under this Agreement or any other Credit
Document except in accordance with Section 10.10.  Any Lender may at any time
pledge or assign all or any portion of its rights under this Agreement and the
Notes issued to it to a Federal Reserve Bank to secure extensions of credit by
such Federal Reserve Bank to such Lender; provided that no such pledge 

                                      -67-
<PAGE>
 
or assignment shall release a Lender from any of its obligations hereunder or
substitute any such Federal Reserve Bank for such Lender as a party hereto.

     Section 10.10.  Sales and Transfers of Borrowings and Notes; Participations
in Borrowings and Notes.

     (a) Any Lender may at any time sell to one or more commercial banking
institutions ("Participants") participating interests in any Borrowing owing to
such Lender, any Note held by such Lender, any Commitment of such Lender or any
other interest of such Lender hereunder, provided that no Lender may sell any
participating interests in any such Borrowing, Note, Commitment or other
interest hereunder without also selling to such Participant the appropriate pro
rata share of all its Borrowings, Notes, Commitments and other interests
hereunder, and provided further that no Lender shall transfer, grant or assign
any participation under which the Participant shall have rights to vote upon or
to consent to any matter to be decided by the Lenders or the Majority Lenders
hereunder or under any other Operative Document or to approve any amendment to
or waiver of this Agreement or any other Operative Document except to the extent
such amendment or waiver would (i) increase the amount of such Lender's
Commitment and such increase would affect such Participant, (ii) reduce the
principal of, or interest on, any of such Lender's Loans, or any fees or other
amounts payable to such Lender hereunder and such reduction would affect such
Participant, (iii) postpone any date fixed for any scheduled payment of
principal of, or interest on, any of such Lender's Loans, or any fees or other
amounts payable to such Lender hereunder and such postponement would affect such
Participant, or (iv) release any Collateral for any Obligation, except as
otherwise specifically provided in any Credit Document. In the event of any such
sale by a Lender of participating interests to a Participant, such Lender's
obligations under this Agreement to the other parties to this Agreement shall
remain unchanged, such Lender shall remain solely responsible for the
performance thereof, such Lender shall remain the holder of any such Note for
all purposes under this Agreement, the Borrower and the Agent shall continue to
deal solely and directly with such Lender in connection with such Lender's
rights and obligations under this Agreement and such Lender shall (as between
itself and such participant) retain the sole right to enforce the obligations of
any Credit Party under any Credit Document. The Borrower agrees that if amounts
outstanding under this Agreement and the Notes shall have been declared or shall
have become due and payable in accordance with Section 7.2 or 7.3 upon the
occurrence of an Event of Default, each Participant shall be deemed to have the
right of setoff in respect of its participating interest in amounts owing under
this Agreement and any Note to the same extent as if the amount of its
participating interest were owing directly to it as a Lender under this
Agreement or any Note, provided that such right of setoff shall be subject to
the obligation of such Participant to share with the Lenders, and the Lenders
agree to share with such Participant, as provided in Section 10.6. The Borrower
also agrees that each Participant shall be entitled to the benefits of Sections
2.13, 3.3 and 8.3 with respect to its participation in the Commitments and the
Borrowings outstanding from time to time, provided that no Participant shall be
entitled to receive any greater amount pursuant to such Sections than the
transferor Lender would have been entitled to receive in respect of the amount
of the participation transferred if no participation had been transferred and
provided, further, that Sections 8.3(c) and 8.6 shall apply to the transferor
Lender with respect to any claim by any Participant pursuant to Section 2.13,
3.3 or 8.3 as fully as if such claim were made by such Lender. Anything herein
to the contrary notwithstanding, the Borrower shall not, at any time, be
obligated to pay to any Lender any sum in excess of the sum the Borrower would
have been obligated to pay to such Lender hereunder if such Lender had not sold
any participation in its rights and obligations under this Agreement or any
other Credit Document.

     (b) Any Lender may at any time sell to (i) any other Lender, or any
affiliate thereof, that is a commercial banking institution not subject to
Regulation T of the Board of Governors of the Federal Reserve System so long as
such entity has a short-term rating of A-1 from S&P and P-1 from Moody's (unless
otherwise agreed by the Agent, the Borrower and the Guarantor), (ii) with the
prior written consent 

                                      -68-
<PAGE>
 
of the Agent and the Borrower (which shall not be unreasonably withheld or
delayed), to one or more commercial banking institutions not subject to
Regulation T of the Board of Governors of the Federal Reserve System and which
has a short-term rating of A-1 from S&P and P-1 from Moody's (unless otherwise
agreed by the Agent, the Borrower and the Guarantor) (any of (i) or (ii), a
"Purchasing Lender"), all or any part of its rights and obligations under this
Agreement and the other Credit Documents, pursuant to an Assignment Agreement in
the form attached as Exhibit 10.10, executed by such Purchasing Lender and such
transferor Lender (and, in the case of a Purchasing Lender which is not then a
Lender or an affiliate thereof, by the Borrower and the Agent) and delivered to
the Agent; provided that each such sale to a Purchasing Lender shall be in an
amount of $10,000,000 or more, or if in a lesser amount or if as a result of
such sale the sum of the unfunded Commitment of such Lender plus the aggregate
principal amount of such Lender's Loans would be less than $10,000,000, such
sale shall be of all of such Lender's rights and obligations under this
Agreement and all of the other Credit Documents payable to it to one Purchasing
Lender. Notwithstanding the requirement of the Borrower's consent set forth
above, but subject to all of the other terms and conditions of this Section
10.10(b), any Lender may sell to one or more commercial banking institutions not
subject to Regulation T of the Board of Governors of the Federal Reserve System,
all or any part of its rights and obligations under this Agreement and the other
Credit Documents with only the consent of the Agent (which shall not be
unreasonably withheld or delayed) if the Loans have been accelerated pursuant to
Section 7.2 or 7.3. No Lender may sell any Loans to a Purchasing Lender without
also selling to such Purchasing Lender the appropriate pro rata share of all of
its Borrowings, Notes, Commitments and other interests hereunder and, to the
extent applicable, its appropriate pro rata share of all of its extensions of
credit, commitments and other interests under the Lease Securitization Facility
and of its commitment to the Agent under the Lease Securitization Facility
described in the materials provided by the Agent to the Lenders dated October
1996. Upon such execution, delivery and acceptance, from and after the effective
date of the transfer determined pursuant to such Assignment Agreement, (x) the
Purchasing Lender thereunder shall be a party hereto and, to the extent provided
in such Assignment Agreement, have the rights and obligations of a Lender
hereunder with a Commitment as set forth herein and (y) the transferor Lender
thereunder shall, to the extent provided in such Assignment Agreement, be
released from its obligations under this Agreement (and, in the case of an
Assignment Agreement covering all or the remaining portion of a transferor
Lender's rights and obligations under this Agreement, such transferor Lender
shall cease to be a party hereto). Such Assignment Agreement shall be deemed to
amend this Agreement to the extent, and only to the extent, necessary to reflect
the addition of such Purchasing Lender and the resulting adjustment of
Commitments and Percentages arising from the purchase by such Purchasing Lender
of all or a portion of the rights and obligations of such transferor Lender
under this Agreement, the Notes and the other Credit Documents. On or prior to
the effective date of the transfer determined pursuant to such Assignment
Agreement, the Borrower, at its own expense, shall execute and deliver to the
Agent in exchange for any surrendered Note, a new Note as appropriate to the
order of such Purchasing Lender in an amount equal to the Commitments assumed by
it pursuant to such Assignment Agreement, and, if the transferor Lender has
retained a Commitment or Loans hereunder, a new Note to the order of the
transferor Lender in an amount equal to the Commitments or Loans retained by it
hereunder. Such new Notes shall be dated the Initial Borrowing Date and shall
otherwise be in the form of the Notes replaced thereby. The Notes surrendered by
the transferor Lender shall be returned by the Agent to the Borrower marked
"cancelled."

     (c) Upon its receipt of an Assignment Agreement executed by a transferor
Lender, a Purchasing Lender and the Agent (and, in the case of a Purchasing
Lender that is not then a Lender or an affiliate thereof, by the Borrower),
together with payment by the transferor Lender to the Agent hereunder of a
registration and processing fee of $3,500 (unless the Borrower is replacing such
Lender pursuant to the terms hereof, in which event such fee shall be paid by
the Borrower), the Agent shall (i) promptly accept such Assignment Agreement,
and (ii) on the effective date of the transfer determined pursuant thereto give
notice of such acceptance and recordation to the Lenders and the Borrower.  The
Borrower 

                                      -69-
<PAGE>
 
shall not be responsible for such registration and processing fee or any costs
or expenses incurred by any Lender, any Purchasing Lender or the Agent in
connection with such assignment except as provided above.

     (d) If, pursuant to this Section 10.10 any interest in this Agreement or
any Note is transferred to any transferee which is organized under the laws of
any jurisdiction other than the United States of America or any State thereof,
the transferor Lender shall cause such transferee, concurrently with the
effectiveness of such transfer, (i) to represent to the transferor Lender (for
the benefit of the transferor Lender, the Agent and the Borrower) that under
applicable law and treaties no taxes will be required to be withheld by the
Agent, the Borrower or the transferor Lender with respect to any payments to be
made to such transferee in respect of the Loans, (ii) to furnish to the
transferor Lender (and, in the case of any Purchasing Lender, the Agent and the
Borrower) two duly completed and signed copies of either U.S. Internal Revenue
Service Form 4224 or U.S. Internal Revenue Service Form 1001 or such successor
forms as shall be adopted from time to time by the relevant United States taxing
authorities (wherein such transferee claims entitlement to complete exemption
from U.S. federal withholding tax on all interest payments hereunder), and (iii)
to agree (for the benefit of the transferor Lender, the Agent and the Borrower)
to provide the transferor Lender (and, in the case of any Purchasing Lender, the
Agent and the Borrower) new forms as contemplated by Section 3.3(b) upon the
expiration or obsolescence of any previously delivered form and comparable
statements in accordance with applicable U.S. laws and regulations and
amendments duly executed and completed by such transferee, and to comply from
time to time with all applicable U.S. laws and regulations with regard to such
withholding tax exemption.

     (e) Notwithstanding any other provisions of this Section 10.10, no transfer
or assignment of the interests of any Lender hereunder or any grant of
participations therein shall be permitted if such transfer, assignment or grant
would require the Borrower or any other Credit Party to file a registration
statement with the SEC or to qualify the Loans, the Notes or any other
Obligations under the securities laws of any jurisdiction.

     Section 10.11.  Amendments, Waivers and Consents.  Subject to Sections
10.15 and 10.23 hereof, any provision of the Credit Documents may be amended or
waived if, but only if, such amendment or waiver is in writing and is signed
(and/or consented to) by (a) the Borrower, (b) the Majority Lenders, and (c) if
the rights or duties of the Agent or the Collateral Agent are affected thereby,
the Agent or the Collateral Agent, as the case may be, provided that:

     (i) no amendment or waiver shall (A) increase the Total Commitment Amount,
the Tranche A Credit Commitment Amount or the Construction Credit Commitment
Amount without the consent of all Lenders or increase any Commitment of any
Lender without the consent of such Lender, (B) postpone any Maturity Date
without the consent of all Lenders or reduce the amount of or postpone the date
for any scheduled payment of any principal of or interest on any Loan or of any
fee payable hereunder to any Lender without the consent of each Lender owed any
such Obligation, or (C) release any Collateral for any Obligation (including,
without limitation, the Transocean Performance Guaranty) without the consent of
all Lenders; and

     (ii) no amendment or waiver shall, unless signed by each Lender, change the
provisions of this Section 10.11 or the definition of Majority Lenders or the
number of Lenders required to take any action under any other provision of the
Credit Documents.

To the extent that any amendment or waiver of any provision of any Operative
Document (other than any Credit Document) requires any consent of the Lenders,
such Operative Document may so be amended or waived if, but only if, such
amendment or waiver is consented to by the Majority Lenders.

                                      -70-
<PAGE>
 
     Section 10.12.  Headings.  Section headings used in this Agreement are for
reference only and shall not affect the construction of this Agreement.

     Section 10.13.  Legal Fees, Other Costs and Indemnification.  (a) The
Borrower, upon demand by the appropriate Person, agrees to pay the reasonable
out-of-pocket costs and expenses (i) of the Agent and the Collateral Agent,
including, without limitation, the reasonable fees and disbursements of legal
counsel to the Agent and the Collateral Agent, in connection with the
preparation and execution of the Credit Documents, and any amendment, waiver or
consent related thereto, whether or not the transactions contemplated therein
are consummated, (ii) of the Agent, the Collateral Agent, the Co-Agents and the
Lenders in connection with advising the Agent, the Co-Agents, the Collateral
Agent and the Lenders of their rights and responsibilities under the Credit
Documents during any Default or Event of Default or in connection with the
enforcement by the Lenders, the Agent, the Collateral Agent and the Co-Agents of
any of the Credit Documents against either Credit Party, provided that the
Agent, the Collateral Agent, the Co-Agents and the Lenders agree to the extent
feasible and to the extent a conflict of interest does not exist in the
reasonable opinion of any of same, to use the same single counsel in connection
with the foregoing to the extent they seek reimbursement for the expenses
thereof from the Borrower, and (iii) the Engineer in connection with its
certifications under Section 4.2.  The Borrower further agrees to indemnify each
Lender, the Agent, each Co-Agent, the Collateral Agent and their respective
directors, officers, employees and attorneys (in each case in their capacities
as such) (collectively, the "Indemnified Parties"), against all losses, claims,
damages, penalties, judgments, liabilities and expenses (including, without
limitation, all reasonable attorneys' fees and other reasonable expenses of
litigation or preparation therefor, whether or not such Indemnified Party is a
party thereto, but excluding any Taxes and excluding any losses, claims,
damages, penalties, judgments, liabilities or expenses of the nature described
in Sections 2.13 and 8.3 (regardless of whether indemnified pursuant to such
sections)) which any of them may pay or incur arising out of or relating to (x)
any action, suit or proceeding by any Person not a party to this Agreement (a
"third party") or governmental authority against such Indemnified Party and
relating to any Credit Document, the Loans or the application or proposed
application by the Borrower of the proceeds of any Loan, REGARDLESS OF WHETHER
SUCH CLAIMS OR ACTIONS ARE FOUNDED IN WHOLE OR IN PART UPON THE ALLEGED SIMPLE
OR CONTRIBUTORY NEGLIGENCE OF ANY OF THE INDEMNIFIED PARTIES AND/OR ANY OF THEIR
RESPECTIVE DIRECTORS, OFFICERS, EMPLOYEES OR ATTORNEYS, (y) any investigation of
any third party or any governmental authority involving any Lender (as a lender
hereunder) or the Agent or the Collateral Agent (in such capacity hereunder) and
related to any use made or proposed to be made by the Borrower of the proceeds
of the Borrowings, or any transaction financed or to be financed in whole or in
part, directly or indirectly with the proceeds of any Borrowing, and (z) any
investigation of any third party or any governmental authority, litigation or
proceeding involving any Lender (as a lender hereunder) or the Agent, any Co-
Agent or the Collateral Agent (in such capacity hereunder) and related to any
environmental cleanup, audit or compliance with respect to the Borrower or its
properties, or other matter relating to any Environmental Law or the presence of
any Hazardous Material (including, without limitation, any losses, liabilities,
damages, injuries, costs, expenses or claims asserted or arising under any
Environmental Law) with respect to the Borrower or its properties, regardless of
whether caused by, or within the control of, the Borrower; provided, however,
that the Borrower shall not be obligated to indemnify any Indemnified Party for
any of the foregoing arising out of such Indemnified Party's, or the Agent's,
any Co-Agent's or the Collateral Agent's, as the case may be, gross negligence,
willful misconduct or breach of any material provision of any Credit Document or
the gross negligence or wilful misconduct of, or the breach of any material
provision of any Credit Document by, any other Indemnified Party with respect to
the same Lender. The Borrower, upon demand by the Agent, a Co-Agent or the
Collateral Agent at any time, shall reimburse the Indemnified Party for any
reasonable legal or other expenses incurred in connection with investigating or
defending against any of the foregoing except if the same is excluded from
indemnification pursuant to the provisions of the preceding sentence.

                                      -71-
<PAGE>
 
     (b) Promptly after receipt by an Indemnified Party of notice of the
commencement of any action, suit or proceeding against such Indemnified Party
relating to any of the matters described in Section 10.13(a), such Indemnified
Party shall give written notice to the Borrower of the commencement thereof, but
the failure so to notify the Borrower shall not relieve it of any liability that
it may have to any Indemnified Party except to the extent the Borrower
demonstrates that the defense of such action is prejudiced thereby.  The
Borrower shall be entitled to participate therein and, to the extent that it
shall elect to assume the defense thereof with counsel reasonably satisfactory
to such Indemnified Party and, after notice from the Borrower to such
Indemnified Party of its election so to assume the defense thereof, the Borrower
shall not be liable to such Indemnified Party hereunder for any fees of other
counsel or any other expenses, in each case subsequently incurred by such
Indemnified Party in connection with the defense thereof, other than reasonable
costs of investigation.  If the Borrower assumes the defense of such action,
suit or proceeding, (i) no compromise or settlement thereof may be effected by
the Borrower without the applicable Indemnified Party's consent (which shall not
be unreasonably withheld) unless (x) there is no finding or admission of any
violation of law or any violation of the rights of any Person, no fine or
penalty is assessed against, or payable by, such Indemnified Party and there are
no other claims that may be made by the claimant in such action, suit or
proceeding against such Indemnified Party, in each case as a result of such
compromise or settlement, and (y) the sole relief provided is monetary damages
that are paid in full by the Borrower, and (ii) the Borrower shall have no
liability with respect to any compromise or settlement thereof effected without
its consent (which shall not be unreasonably withheld). If notice is given to
the Borrower of the commencement of any action, suit or proceeding and it does
not, with ten (10) days after the notice is given, give written notice to the
applicable Indemnified Party of its election to assume the defense thereof, the
Borrower shall be bound by any determination made in such action or any
compromise or settlement thereof effected by such Indemnified Party.
Notwithstanding the foregoing, if an Indemnified Party determines in good faith
that there is a reasonable probability that an action may adversely affect it or
its Affiliates other than as a result of monetary damages, such Indemnified
Party may, by notice to the Borrower, assume the exclusive right to defend,
compromise or settle such action, suit or proceeding, but the Borrower shall not
be bound by any determination of an action so defended or any compromise or
settlement thereof effected without its consent (which shall not be unreasonably
withheld). Nothing in this Section 10.13(b) shall require the Borrower to make
any payment that it is not required to make under Section 10.13(a).

     Section 10.14.  Governing Law; Submission to Jurisdiction; Waiver of Jury
Trial.

     (A) THIS AGREEMENT, AND THE RIGHTS AND DUTIES OF THE PARTIES HERETO, SHALL
BE CONSTRUED IN ACCORDANCE WITH AND GOVERNED BY THE INTERNAL LAWS OF THE STATE
OF NEW YORK.

     (B)  TO THE FULLEST EXTENT PERMITTED BY APPLICABLE LAW, THE PARTIES HERETO
AGREE THAT ANY LITIGATION BASED HEREON, OR ARISING OUT OF, UNDER, OR IN
CONNECTION WITH, THIS AGREEMENT OR ANY OTHER CREDIT DOCUMENT, OR ANY COURSE OF
CONDUCT, COURSE OF DEALING, STATEMENT (WHETHER VERBAL OR WRITTEN) OR ACTIONS OF
THE AGENT OR THE COLLATERAL AGENT, THE LENDERS OR THE BORROWER MAY BE BROUGHT
AND MAINTAINED IN THE COURTS OF THE STATE OF NEW YORK SITTING IN THE BOROUGH OF
MANHATTAN OR THE UNITED STATES DISTRICT COURT FOR THE SOUTHERN DISTRICT OF NEW
YORK.  TO THE FULLEST EXTENT PERMITTED BY APPLICABLE LAW, THE BORROWER HEREBY
EXPRESSLY AND IRREVOCABLY SUBMITS TO THE JURISDICTION OF THE COURTS OF THE STATE
OF NEW YORK AND THE UNITED STATES DISTRICT COURT FOR THE SOUTHERN DISTRICT OF
NEW YORK FOR THE PURPOSE OF ANY SUCH LITIGATION AS SET FORTH ABOVE AND
IRREVOCABLY AGREES TO BE BOUND BY ANY JUDGMENT 

                                      -72-
<PAGE>
 
RENDERED THEREBY IN CONNECTION WITH SUCH LITIGATION. TO THE FULLEST EXTENT
PERMITTED BY APPLICABLE LAW, THE BORROWER FURTHER IRREVOCABLY CONSENTS TO THE
SERVICE OF PROCESS, BY REGISTERED MAIL, POSTAGE PREPAID, OR BY PERSONAL SERVICE
WITHIN OR WITHOUT THE STATE OF NEW YORK. TO THE FULLEST EXTENT PERMITTED BY
APPLICABLE LAW, THE BORROWER HEREBY EXPRESSLY AND IRREVOCABLY WAIVES ANY
OBJECTION WHICH IT MAY HAVE OR HEREAFTER MAY HAVE TO THE LAYING OF VENUE OF ANY
SUCH LITIGATION BROUGHT IN ANY SUCH COURT REFERRED TO ABOVE AND ANY CLAIM THAT
ANY SUCH LITIGATION HAS BEEN BROUGHT IN AN INCONVENIENT FORUM. TO THE EXTENT
THAT THE BORROWER HAS OR HEREAFTER MAY ACQUIRE ANY IMMUNITY FROM JURISDICTION OF
ANY COURT OF THE STATE OF NEW YORK SITTING IN THE BOROUGH OF MANHATTAN OR THE
UNITED STATES DISTRICT COURT FOR THE SOUTHERN DISTRICT OF NEW YORK OR FROM ANY
LEGAL PROCESS WITH RESPECT TO ANY ACTION COMMENCED IN ANY SUCH COURT (WHETHER
THROUGH SERVICE OF NOTICE, ATTACHMENT PRIOR TO JUDGMENT, ATTACHMENT IN AID OF
EXECUTION OR OTHERWISE) WITH RESPECT TO ITSELF OR ITS PROPERTY, THE BORROWER
HEREBY IRREVOCABLY WAIVES TO THE FULLEST EXTENT PERMITTED BY APPLICABLE LAW,
SUCH IMMUNITY IN RESPECT OF ITS OBLIGATIONS UNDER THIS AGREEMENT AND THE OTHER
CREDIT DOCUMENTS.

     (C) TO THE FULLEST EXTENT PERMITTED BY APPLICABLE LAW, EACH PARTY HERETO
WAIVES ANY RIGHT TO A TRIAL BY JURY IN ANY ACTION OR PROCEEDING TO ENFORCE OR
DEFEND ANY RIGHTS UNDER THIS AGREEMENT OR UNDER ANY AMENDMENT, INSTRUMENT,
DOCUMENT OR AGREEMENT DELIVERED OR WHICH MAY IN THE FUTURE BE DELIVERED IN
CONNECTION HEREWITH OR ARISING FROM ANY BANKING RELATIONSHIP EXISTING IN
CONNECTION WITH THIS AGREEMENT, AND AGREES THAT ANY SUCH ACTION OR PROCEEDING
SHALL BE TRIED BEFORE A COURT AND NOT BEFORE A JURY.

     Section 10.15.  Confidentiality.  Each Lender agrees it will not disclose
(and will cause its affiliates not to disclose) without the Borrower's consent
any information concerning the Borrower, the Guarantor or any direct or indirect
Subsidiaries of the Guarantor furnished pursuant to, or otherwise in connection
with, any of the Credit Documents (including without limitation any information
concerning the intellectual property that is the subject of the License
Agreement between the Borrower and the Guarantor referenced in Section 4.1;
provided that any Lender may disclose any such information (a) to its employees,
auditors, counsel or other professional advisors who are or are expected to be
involved in the evaluation of such information in connection with the
transactions contemplated by this Agreement, each of whom will be informed of,
and shall abide by the provisions of, this Section 10.15, (b) to any other
Lender or affiliate of such Lender or other Lender, (c) that has become
generally available to the public, (d) if required or appropriate in any
examination or audit by, or report, statement or testimony submitted to, any
federal or state regulatory body having or claiming to have jurisdiction over
such Lender, (e) if required or appropriate in response to any summons or
subpoena or in connection with any litigation, (f) in order to comply with the
mandatory provisions of any law, order, regulation or ruling applicable to such
Lender, (g) to any prospective or actual permitted transferee in connection with
any contemplated or actual permitted transfer of any of the Notes or any
interest therein by such Lender, and (h) in connection with the exercise of any
remedies by the Agent or any Lender; provided that such actual or prospective
transferee executes an agreement with such Lender (and expressly for the benefit
of the Borrower and the Guarantor) containing provisions substantially identical
to those contained in this Section 10.15 prior to such transferee's receipt of
any such information.  Each Lender hereby irrevocably constitutes the Guarantor
as, and agrees that the Guarantor shall be, an intended third party beneficiary
of the covenant 

                                      -73-
<PAGE>
 
of such Lender contained in this Section 10.15 and, without limitation of the
foregoing, agrees that the Guarantor may enforce such Lender's covenant set
forth in this Section 10.15 without any requirement that any action also be
taken by the Borrower. This Section 10.15 may not be amended, modified or
supplemented without the written consent of the Guarantor.

     Section 10.16.  Effectiveness.  This Agreement shall become effective on
the date (the "Effective Date") on which each of the Borrower, the Agent, and
each Lender has signed and delivered to the Agent a counterparty signature page
hereto or, in the case of a Lender, the Agent has received telex or facsimile
notice that such a counterpart has been signed and mailed to the Agent.

     Section 10.17.  Severability.  Any provision of this Agreement that is
prohibited or unenforceable in any jurisdiction shall, as to such jurisdiction,
be ineffective to the extent of such prohibition or unenforceability without
invalidating the remaining provisions hereof, and any such prohibition or
unenforceability in any jurisdiction shall not invalidate or render
unenforceable such provision in any other jurisdiction.

     Section 10.18.  Change in Accounting Principles, Fiscal Year or Tax Laws.
If (i) any change in accounting principles from those applicable to the Borrower
as of the date hereof is hereafter occasioned by the promulgation of rules,
regulations, pronouncements and opinions  by or required by the Financial
Accounting Standards Board or the American Institute of Certified Public
Accounts (or successors thereto or agencies with similar functions) other than
changes mandated by SFAS 106 and such change materially affects the calculation
of any component of any standard or term found in this Agreement, or (ii) there
is a material change in federal or foreign tax laws which materially affects the
Borrower's ability to comply with the standards or terms found in this
Agreement, the Borrower and the Majority Lenders agree to enter into
negotiations in order to amend such provisions so as to equitably reflect such
changes with the desired result that the criteria for evaluating any of the
Borrower's financial condition shall be the same after such changes as if such
changes had not been made.  Unless and until such provisions have been so
amended, the provisions of this Agreement shall govern.

     Section 10.19.  Notice.  The Credit Documents constitute the entire
understanding among the Credit Parties, the Lenders, and the Agent and supersede
all earlier or contemporaneous agreements, whether written or oral, concerning
the subject matter of the Credit Documents.  THIS WRITTEN AGREEMENT TOGETHER
WITH THE OTHER CREDIT DOCUMENTS REPRESENTS THE FINAL AGREEMENT BETWEEN THE
PARTIES AND  MAY NOT BE CONTRADICTED BY EVIDENCE OF PRIOR, CONTEMPORANEOUS, OR
SUBSEQUENT ORAL AGREEMENTS OF THE PARTIES.  THERE ARE NO UNWRITTEN ORAL
AGREEMENTS BETWEEN THE PARTIES.

     Section 10.20.  Officer's Certificates.  It is not intended that any
certificate of any officer of any Credit Party delivered to the Agent or any
Lender pursuant to this Agreement shall give rise to any personal liability on
the part of such officer.

     Section 10.21.  Effect of Inclusion of Exceptions.  It is not intended that
the specification of any exception to any covenant herein shall imply that the
excepted matter would, but for such exception, be prohibited or required.

     Section 10.22.  Non-Recourse Obligation.  The Obligations of the Borrower
under the Credit Documents shall be non-recourse to the Guarantor and its
Subsidiaries (excluding the Borrower) other than as expressly provided in the
Operative Documents.  No recourse with respect to any Credit Document, any
amount payable or which may be payable by the Borrower under any Credit Document
or any 

                                      -74-
<PAGE>
 
representation, warranty, covenant, obligation, liability or agreement of the
Borrower contained in, made or incurred pursuant to or in any way arising out of
or resulting from any Credit Document (collectively, the "Non-Recourse
Obligations") (including without limitation under any judgment obtained against
the Borrower or by the enforcement of any assessment or by any legal or
equitable proceeding by virtue of any constitution or statute or otherwise or
under any other circumstances) shall be had against any incorporator,
shareholder, Affiliate, director, officer or employee, past, present or future,
of the Borrower (or any Person directly or indirectly controlling any of the
foregoing Persons) (collectively, the "Released Persons"), either directly or
through the Borrower. Any and all personal liability of every nature, whether at
common law or in equity or by statute or by constitution or otherwise, of any
such Released Person (i) to respond by reason of any act or omission on its part
or otherwise, for the payment to any Lender, the Agent and/or the Collateral
Agent or for or to the Borrower or any receiver thereof, of any sum that may
remain due and unpaid under or on account of any Non-Recourse Obligation, and
(ii) otherwise in respect of the Non-Recourse Obligations, is hereby expressly
waived and released by the Lenders, the Agent and the Collateral Agent as a
condition of and as consideration for the execution of this Agreement by the
Borrower. Nothing in this Section 10.22 releases the Guarantor from, or modifies
in any respect, any liability or obligation, past, present or future, of the
Guarantor under the express terms of any Credit Document to which it is or
hereafter becomes a party (by executing the same).

     Section 10.23.  Amoco Quiet Enjoyment; Guarantor Replaced Parts.  (a) The
Lenders, the Agent, the Co-Agents and the Collateral Agent each hereby (i)
acknowledge and consent to the provisions of Section 2(h) of each of the O&M
Contracts and Section 7(b) of each of the Transocean Contracts and (ii) agree,
for the benefit of the Guarantor, that, any term of any Credit Document to the
contrary notwithstanding, unless and until the Collateral Agent shall terminate
any such contract in accordance with its terms, (x) any replaced "Part" (as such
term is defined in such contracts) that, in accordance with the terms of any
such contract, is to become the property of the Guarantor shall so become the
property of the Guarantor, free and clear of the Liens of the Security
Documents, and (y) the Collateral Agent shall execute such instruments as the
Guarantor reasonably may request from time to time to give effect to, or
evidence, the release of any such replaced "Part" from the Liens of the Security
Documents.

     (b) The Lender, the Agent, the Co-Agents and the Collateral Agent each
hereby (i) acknowledge and consent to the provisions of the Amoco Contracts, and
(ii) agree, with respect to each Amoco Contract, that, any term of any Credit
Document to the contrary notwithstanding, during the term of each Amoco Contract
and so long as Amoco shall be in compliance in all material respects with its
obligations set forth in such Amoco Contracts, it shall not take any action
under any Credit Document that would result in any material breach by
"Contractor" under such Amoco Contract or otherwise interfere with Amoco's
rights under such Amoco Contract.

     (c) The Guarantor hereby is constituted as, and each party hereto hereby
agrees that the Guarantor shall be, an intended third party beneficiary of this
Section 10.23 and, without limitation of the foregoing, any term of this
Agreement to the contrary notwithstanding, this Section 10.23 may not be
amended, modified or supplemented without the written consent of the Guarantor.
References in this Section 10.23 to the Guarantor include Transocean Offshore
Inc., its successors and, with respect to any O&M Contract or Transocean
Contract, its permitted assigns thereunder.

                                      -75-
<PAGE>
 
     IN WITNESS WHEREOF, the parties hereto have caused this Agreement to be
duly executed and delivered by their duly authorized officers as of the day and
year first above written.

                          Borrower:

                          TRANSOCEAN ENTERPRISE INC.,
                          a Delaware corporation


                           By: /s/ Eric B. Brown
                              -------------------------------------------------
                           Name:  Eric B. Brown
                                -----------------------------------------------

                           Title: Vice President, General Counsel and Secretary
                                 ----------------------------------------------

                                      -76-
<PAGE>
 
                                LENDERS:

Percentage:  11.6005873715%     ABN AMRO BANK N.V., Houston Agency, as Agent, 
- ----------                      as Collateral Agent and as a Lender



                                By:  /s/ Cheryl I. Lipshutz
                                   ----------------------------------------
                                   Cheryl I. Lipshutz, Group Vice President
                                   and Director

Address for Notices:
- -------------------
                                By:  /s/ Charles W. Randall
                                   -----------------------------------------
ABN AMRO Bank N.V., Houston        Charles W. Randall, Senior Vice President
Agency                             and Managing Director
Three Riverway, Suite 1700      
Houston, Texas  77056
Attention:  Belinda Rowell
Telephone No.:  (713) 629-6666
Fax No.:  (713) 629-7533
Telex No.:  686 8916
Answerback:  ABN INTL HOU

with copies to:
Ms. Linda Boardman
ABN AMRO Bank N.V.
335 Madison Avenue
New York, New York  10017
Telephone No.:  (212) 370-8509
Fax No.: (212) 682-0364

Payment Instructions:
- -------------------- 
Name of Credit Bank:         ABN AMRO Bank N.V., Houston Branch
City, State:                 Houston, Texas
Method of Payment:           ABA #0260-0958-0
For Credit To:               ABN AMRO Bank N.V., Houston Branch
Account No.:                 651001071541
Reference:                   Transocean Enterprise Inc.
Attention:                   Belinda Rowell


Lending Office:
- -------------- 
ABN AMRO Bank N.V.
335 Madison Avenue
New York, New York  10017
Telephone No.:  (212) 370-8509
Fax No.: (212) 682-0364

                                      -77-
<PAGE>
 
Percentage:  7.3421439060%    AUSTRALIA AND NEW ZEALAND BANKING GROUP LIMITED,
- ----------                    as Co-Agent and as a Lender


                              By: /s/ Paul Clifford
                                 --------------------------------------------
                              Name:   Paul Clifford
                                   ------------------------------------------
                              Title:  Vice President
                                    -----------------------------------------
Address For Notices:
- ------------------- 
Australia and New Zealand Banking
Group Limited
1177 Avenue of the Americas
New York, New York  10036
Attention: Tessie Amante
Telephone: (212) 801-9744
Fax: (212) 801-9859
Telex: 667559
Answerback: ANZBANK667559

Payment Instructions:
- -------------------- 
Name of Credit Bank:    Morgan Guaranty Trust Company
City, State:            New York, New York
Method of Payment:      ABA #021000238
For Credit To:          Australia and New Zealand Banking Group Limited
Account No.:            63100888
Reference:              Transocean Enterprise Inc.

Lending Office:
- -------------- 
Australia and New Zealand Banking
Group Limited
1177 Avenue of the Americas
New York, New York  10036
Attention: Kyle Loughlin
Telephone: (212) 801-9853
Fax: (212) 801-9131
Telex: 667559
Answerback: ANZBANK667559

                                      -78-
<PAGE>
 
Percentage:  7.3421439060%    BANK OF MONTREAL, as Co-Agent and as a Lender
- ----------                                                                 


                              By:   /s/ Donald G. Skipper
                                 ----------------------------------------
                                        Donald G. Skipper
                                        Director, Natural Resources

Address for Notices:
- ------------------- 
Bank of Montreal
700 Louisiana Street, Suite 4400
Houston, Texas  77002
Attention:  Don Skipper
Telephone No.: (713) 546-9769
Fax No.: (713) 223-4007

Payment Instructions:
- -------------------- 
Name of Credit Bank:    Bank of Montreal
City, State:            Chicago, Illinois
Method of Payment:      ABA #071000288
For Credit To:          Bank of Montreal, Chicago Branch
Account No.:            124-856-6
Reference:              Transocean Enterprise Inc.

Lending Office:
- -------------- 
Bank of Montreal
115 S. LaSalle St., Floor 12W
Chicago, Illinois  60603
Attention:  Lara Benton or Farid Ali
Telephone No.: (312) 750-3844 (Benton)
Telephone No.: (312) 750-3727 (Ali)
Fax No.: (312) 750-4345 (Benton)
Fax No.: (312) 750-6061 (Ali)

                                      -79-
<PAGE>
 
Percentage:  7.3421439060%      THE BANK OF NOVA SCOTIA,
- ----------                      ATLANTA AGENCY, as Co-Agent and as a Lender


                                By: /s/ F.C.H. Ashby
                                   ----------------------------------------
                                        F.C.H. Ashby
                                        Senior Manager, Loan Operations
Address for Notices:
- ------------------- 
The Bank of Nova Scotia,
Atlanta Agency
600 Peachtree Street N.E., Suite 2700
Atlanta, Georgia  30308
Attention: F.C.H. Ashby
Telephone No.: (404) 877-1500
Fax No.: (404) 888-8998
Telex: 00542319
Answerback: SCOTIABANK ATL

with a copy to:

The Bank of Nova Scotia
Houston Representative Office
1100 Louisiana, Suite 3000
Houston, Texas  77002
Attention: Mark Ammerman
Telephone No.: (713) 759-3441
Fax No.: (713) 752-2425
Telex: RCA 216312
Answerback: SCOTIABANK HOU

Payment Instructions:
- -------------------- 
Name of Credit Bank:    The Bank of Nova Scotia, New York Agency
City, State:            New York, New York
Method of Payment:      ABA #026002532
For Credit To:          The Bank of Nova Scotia, Atlanta Agency
Account No.:            0606634
Reference:              Transocean Enterprise Inc.
Attention:              Cleve Bushey

Lending Office:
- -------------- 
The Bank of Nova Scotia,
Atlanta Agency
600 Peachtree Street N.E., Suite 2700
Atlanta, Georgia  30308
Attention: F.C.H. Ashby
Telephone No.: (404) 877-1500
Fax No.: (404) 888-8998
Telex: 00542319
Answerback: SCOTIABANK ATL

                                      -80-
<PAGE>
 
Percentage:  7.3421439060%      THE BANK OF TOKYO - MITSUBISHI, LTD., HOUSTON
- ----------                      AGENCY, as Co-Agent and as a Lender


                                By: /s/ Michael Meiss
                                   -----------------------------------------
                                        Michael Meiss
                                        Vice President & Manager

Address for Notices:
- ------------------- 
The Bank of Tokyo - Mitsubishi, Ltd.,
Houston Agency
1100 Louisiana, Suite 2800
Houston, Texas  77002
Attention: Deanna Breland
Telephone No.: (713) 655-3810
Fax No.: (713) 655-3855

Payment Instructions:
- -------------------- 
Name of Credit Bank:    The Bank of Tokyo-Mitsubishi, Ltd., New York Agency
City, State:            New York, New York
Method of Payment:      ABA #026-009-632
For Credit To:          The Bank of Tokyo-Mitsubishi, Ltd., Houston Agency
Account No.:            30001710
Reference:              Transocean Enterprise Inc.
Attention:              Nadra H. Breir

Lending Office:
- -------------- 
The Bank of Tokyo - Mitsubishi, Ltd.,
Houston Agency
1100 Louisiana, Suite 2800
Houston, Texas  77002
Attention: Nadra H. Breir
Telephone No.: (713) 655-3847
Fax No.: (713) 658-0116

                                      -81-
<PAGE>
 
Percentage:  7.3421439060%      WESTDEUTSCHE  LANDESBANK
- ----------                      GIROZENTRALE, as Co-Agent and as a Lender


                                By: /s/ Richard R. Newman
                                   ---------------------------------------------
                                Name:   Richard R. Newman
                                     -------------------------------------------
                                Title:  Vice President
                                      ------------------------------------------


Address for Notices:
- ------------------- 
Westdeutsche Landesbank Girozentrale  By: /s/ Salvatore Battinelli
1211 Avenue of the Americas              ---------------------------------------
New York, New York  10036             Name:   Salvatore Battinelli
Attention: Richard Newman,                 -------------------------------------
Vice President                        Title:  Vice President, Credit Department
Telephone No.: (212) 852-6120               ------------------------------------
Fax No.: (212) 852-6307                     
Telex: (ITT) 420736 (MCI) 666668

Payment Instructions:
- -------------------- 
Name of Credit Bank:    Chase Manhattan Bank
City, State:            New York, New York
Method of Payment:      ABA # 021-00-0021
For Credit To:          Westdeutsche Landesbank
Account No.:            920-1-060 663
Reference:              Transocean Offshore

Lending Office:
- -------------- 
Westdeutsche Landesbank Girozentrale
1211 Avenue of the Americas
New York, New York  10036
Attention: Cheryl Wilson, Vice President and Manager
Telephone No.: (212) 852-6152
Fax No.: (212) 302-7946
Telex: (ITT) 420736 (MCI) 666668

                                      -82-
<PAGE>
 
Percentage:  5.8737151248%      BAYERISCHE HYPOTHEKEN- UND WECHSEL-BANK AG
- ----------                      New York Branch


                                By:    /s/ Richard Pankuch  /s/ Wolgang Novotny
                                   --------------------------------------------
                                Name:  Richard Pankuch      Wolfgang Novotny
                                     ------------------------------------------
                                Title: Vice President       Vice President
                                      -----------------------------------------


Address for Notices:
- ------------------- 
Bayerische Hypotheken- und Wechsel-Bank AG
32 Old Slip
Financial Square
32nd Floor
New York, New York  10030
Attention: Wolfgang Novotny
Telephone No.:  212-440-0789
Fax No.: 212-440-0741

Payment Instructions:
- -------------------- 
Name of Credit Bank:    Chase Manhattan Bank
City, State:            New York, New York
Method of Payment:      FED ABA #: 021000021
For Credit To:          Hypo Bank NY Branch
Account No.:            920-1-062016
Reference:              Transocean Enterprises Inc.
Attention:              Ruth Thomas
 
Operations Contact:
- ----------------------
 
Name:                   Ruth C. Thomas
Address:                Financial Square, 32 Old Slip, New York, NY 10015
Phone:                  212-440-0767
Fax:                    212-440-0741
 

                                      -83-
<PAGE>
 
Percentage:  4.6989720999%    THE SANWA BANK, LIMITED, DALLAS AGENCY
- ----------                                                          


                              By:    /s/ Blake Wright
                                 ----------------------------------------
                              Name:   R. Blake Wright
                                   --------------------------------------
                              Title:  Vice President
                                    -------------------------------------

Address for Notices:
- ------------------- 
The Sanwa Bank, Limited, Dallas Agency
2200 Ross Avenue, #4100 West
Dallas, Texas  75201
Attention:  Blake Wright
Telephone No.: (214) 665-0216
Fax No.: (214) 741-6535
Telex: 735282
Answerback: SANWA BK DAL

Payment Instructions:
- -------------------- 
Name of Credit Bank:    The Sanwa Bank, Limited, New York Branch
City, State:            55 East 52nd Street, New York, New York
Method of Payment:      ABA #026009823
For Credit To:          The Sanwa Bank, Limited, Dallas Agency
Account No.:            999677
Reference:              Transocean Offshore Inc.
Attention:              Greg Crowe

Lending Office:
- -------------- 
The Sanwa Bank, Limited, Dallas Agency
2200 Ross Avenue, #4100 West
Dallas, Texas  75201
Attention:  Greg Crowe
Telephone No.: (214) 665-0229
Fax No.: (214) 741-6535
Telex: 735282
Answerback: SANWA BK DAL

                                      -84-
<PAGE>
 
Percentage:  4.6989720999%    SOCIETE GENERALE, SOUTHWEST AGENCY
- ----------                                                      


                              By:  /s/ Paul E. Cornell
                                 -------------------------------------
                              Name:  Paul E. Cornell
                                   -----------------------------------
                              Title: First Vice President
                                    ----------------------------------

Address for Notices:
- ------------------- 
Societe Generale, Southwest Agency
1111 Bagby Street, #2020
Houston, Texas  77002
Attention: Elizabeth Hunter
Telephone No.: (713) 759-6330
Fax No.: (713) 750-0824

Payment Instructions:
- -------------------- 
Name of Credit Bank:    Societe Generale, Southwest Agency
City, State:            New York, New York
Method of Payment:      ABA #026004226
For Credit To:          Transocean Enterprise Inc.
Account No.:            9036253
Reference:              Transocean Enterprise Inc.


Lending Office:
- -------------- 
Societe Generale, Southwest Agency
2001 Ross Avenue, #4800
Dallas, Texas  75201
Attention: Tequlla English
Telephone No.: (214) 979-2767
Fax No.: (214) 754-0171

                                      -85-
<PAGE>
 
Percentage:  4.6989720999%    THE SUMITOMO BANK, LIMITED
- ----------                                              


                              By:  /s/ Harumitsu Seki
                                 ------------------------------------
                                        Harumitsu Seki
                                        General Manager


Address for Notices:
- ------------------- 
The Sumitomo Bank, Limited
700 Louisiana, Suite 1750
Houston, Texas  77002
Attention:  Robert Johnson, V.P.
Telephone No.: (713) 238-8235
Fax No.: (713) 759-0020
Telex: 774417
Answerback: SUMITBK

with copies to:

Ms. Andrea Wei
V.P./Associate General Counsel
The Sumitomo Bank, Limited
International Planning Dept. - Legal
277 Park Avenue
New York, New York  10172
Telephone: (212) 224-4414
Fax: (212) 224-5194
Telex/Answerback: 420515/232407

Payment Instructions:
- -------------------- 
Name of Credit Bank:    Morgan Guaranty Trust Company
City, State:            New York, New York
Method of Payment:      Fed Funds ABA #021000238
For Credit To:          The Sumitomo Bank, Ltd. - Houston Agency
Account No.:            818004
Reference:              Transocean Offshore Inc. - Leases
Attention:              Loan Section

Lending Office:
- -------------- 
The Sumitomo Bank, Limited
700 Louisiana, Suite 1750
Houston, Texas  77002
Telephone No.: (713) 759-0136
Fax No.: (713) 759-0020
Telex: 774417
Answerback: SUMITBK

                                      -86-
<PAGE>
 
Percentage:  4.6989720999%    SUNTRUST BANK, ATLANTA, as Documentation Agent and
- ----------                    as a Lender


                              By: /s/ F. McClellan Deaver, III
                                 ------------------------------------------
                                        F. McClellan Deaver, III
                                        Group Vice President

                              By: /s/ Todd C. Davis
                                 -------------------------------------------
                              Name:   Todd C. Davis
                                   -----------------------------------------
                              Title:  Assistant Vice President
                                    ----------------------------------------    
Address for Notices:
- ------------------- 
25 Park Place
Mail Code 120
P. O. Box 4418 (30302)
Atlanta, Georgia  30303
Attn:  John Fields, Vice President
Telephone:  (404) 581-1612
Fax: (404) 827-6270
 
Payment Instructions:
- --------------------
Name of Credit Bank:  SunTrust Bank, Atlanta
City, State:          Atlanta, Georgia  30303
Method of Payment:    FED Wire X ABA #061000104
For Credit To:        Corporate Banking
Account No.:          9088000112
Reference:            Transocean Enterprise Inc.
Attention:            Pat Etheridge

Lending Office:
- -------------- 
25 Park Place
Mail Code 120
P. O. Box 4418 (30302)
Atlanta, Georgia  30303
Attn:  John Fields

                                      -87-
<PAGE>
 
Percentage:  4.6989720999%    DEUTSCHE BANK AG IN HAMBURG
- ----------                                               


                              By: /s/ Wagner        /s/ Ehrhardt
                                 ------------------------------------
                              Name:  Wagner         Ehrhardt
                                   ----------------------------------     
                              Title: Director       Director
                                    ---------------------------------    

Address for Notices:
- ------------------- 
Deutsche Bank AG in Hamburg
Brandstwiete 1
20457 Hamburg, Germany
Attention:  Carola Roth
Telephone No.:  0049 40 3701 4334
Fax No.:  0049 40 3701 4649


Payment Instructions:
- -------------------- 

Name of Credit Bank:  Deutsche Bank AG New York Branch
City, State:          New York, New York
Method of Payment:    ABA #026003780
For Credit To:        Deutsche Bank AG Frankfurt Branch
Account No.:          958409500
Reference:            Transocean Offshore Inc.
Attention:            Deutsche Bank AG in Hamburg (Ref. Shipfinancing Dept.)


Lending Office:
- -------------- 

Name:     Carola Roth
Address:  Brandstwiete 1, 20457 Hamburg/Germany
Phone:    0049 40 3701 4334
Fax:      0049 40 3701 4649
Telex:    2161050 dhd

                                      -88-
<PAGE>
 
Percentage:  4.6989720999%    THE FIRST NATIONAL BANK OF CHICAGO
- ----------                                                      


                              By: /s/ Helen A. Carr
                                 ------------------------------------
                              Name:  Helen A. Carr
                                   ----------------------------------
                              Title: Attorney in Fact
                                    ---------------------------------    

Address for Notices:
- ------------------- 
The First National Bank of Chicago
1100 Louisiana, Suite 3200
Houston, Texas  77002
Attention: Helen Carr
Telephone No.: 713-654-7331
Fax No.:  713-654-7370
 
Lending Office:
- --------------
Institution Name:        The First National Bank of Chicago
Street Address:          One First National Plaza
                         0634, 1FNP, 10
City/State/Zip:          Chicago, IL  60670
 
Payment Instructions:
- --------------------
Name of Credit Bank:     The First National Bank of Chicago
City/State/Zip:          Chicago, IL  60670
Method of Payment:       ABA Transit Number 071000013
Account No.:             DES Incoming Clearing A/C Account Number 75217653
Reference:               Transocean Offshore Inc.
Attention:               Bill Laird
Phone No.:               (312) 732 5635
Fax No.:                 (312) 732 4840

                                      -89-
<PAGE>
 
Percentage:  2.9368575624%         THE BANK OF NEW YORK
- ----------                                             


                                   By: /s/ Renee Bijlani
                                      -----------------------------------  
                                       Renee Bijlani
                                       Vice President

Address for Notices:
- ------------------- 
The Bank of New York
One Wall Street, 19th Floor
New York, New York  10286
Attention:  Renee Bijlani
Telephone No.: (212) 635-7875
Fax No.: (212) 635-7923

Payment Instructions:
- -------------------- 
Name of Credit Bank:    The Bank of New York
City, State:            New York, New York
Method of Payment:      ABA #021000018
For Credit To:          Commercial Loan Servicing Department, GLA #111556
Reference:              Transocean Enterprise Inc.
Specify:                Fee, Interest or Principal (Period Covered)

Lending Office:
- -------------- 
The Bank of New York
One Wall Street, 19th Floor
New York, New York  10286
Attention:  Nina Russo
Telephone No.: (212) 635-7921
Fax No.: (212) 635-7924

                                      -90-
<PAGE>
 
Percentage:  2.9368575624%    DG BANK DEUTSCHE GENOSSENSCHAFTS
- ----------                    BANK, CAYMAN ISLAND BRANCH


                              By: /s/ Lawrence H. Siegel
                                 ------------------------------------
                              Name:  Lawrence H. Siegel
                                   ----------------------------------     
                              Title: Vice President


                              By: /s/ Michael J. Keanney
                                 ------------------------------------
                              Name:  Michael J. Keanney
                                   ----------------------------------
                              Title: Vice President
                                    ---------------------------------    
Address for Notices:
- ------------------- 
DG Bank
609 Fifth Avenue
New York, New York  10017
Attention: Ya-Roo Yang, Assistant Treasurer
Telephone No.: (212) 745-1568
Fax No.: (212) 745-1556/1550

Payment Instructions:
- -------------------- 
Name of Credit Bank:    DG Bank
City, State:            New York, New York
Method of Payment:      Chips System DG Bank ABA #845
For Credit To:          Federal Reserve Bank of New York
Account No.:            Routing/Account 026008455
Reference:              Transocean
Attention:              Lawrence H. Siegel

Lending Office:
- -------------- 
DG Bank
609 Fifth Avenue
New York, New York  10017
Attention: Lawrence Siegel, Vice President
Telephone No.: (212) 745-1587
Fax No.: (212) 745-1556/1550

                                      -91-
<PAGE>
 
Percentage:  2.9368575624%         THE DAI-ICHI KANGYO BANK, LIMITED
- ----------                                                          


                                   By: /s/ T. Kurita
                                      --------------------------------  
                                       Takeshi Kurita
                                       Vice President

Address for Notices:
- ------------------- 
The Dai-Ichi Kangyo Bank, Limited
1100 Louisiana, Suite 4940
Houston, Texas  77002
Attention: Kelton Glasscock, Vice President
Telephone No.: (713) 654-5055
Fax No.: (713) 654-1667

Payment Instructions:
- -------------------- 
Name of Credit Bank:    Dai-Ichi Kangyo Bank
City, State:            New York, New York
Method of Payment:      ABA #026004307
Reference:              Transocean Enterprise Inc.
Attention:              Loan Administration Asst. General Manager

Lending Office:
- -------------- 
The Dai-Ichi Kangyo Bank, Limited
1 World Trade Center, Suite 4911
New York, New York  10048
Attention:  Anita Kallichiran
Telephone No.: (212) 432-6653
Fax No.: (212) 488-8955

                                      -92-
<PAGE>
 
*Percentage:  2.9368575624%     ROYAL BANK OF CANADA, as Co-Agent and as a 
 ----------                     Lender


                                By: /s/ J. D. Frost
                                   -------------------------------
                                    J. D. Frost
                                    Senior Manager

Address for Notices:
- ------------------- 
Royal Bank of Canada
600 Wilshire Boulevard, Suite 800
Los Angeles, California  90017
Attention:  J. D. Frost, Senior Manager
Telephone No.: (213) 955-5321
Fax No.: (213) 955-5350

Payment Instructions:
- -------------------- 
Name of Credit Bank:    Chase Manhattan Bank, New York
City, State:            New York, New York
Method of Payment:      ABA #021000021
For Credit To:          Royal Bank of Canada, New York
Account No.:            920-1-033363
Reference:              Transocean Enterprise Inc.
Specify:                Fees, interest and payment

Lending Office:
- -------------- 
Royal Bank of Canada
One Financial Square, 23th Floor
New York, New York  10005-3531
Attention:  Linda Crum, Loan Administrator
Telephone No.: (212) 428-6323
Fax No.: (212) 428-2372
Telex: MCI 62519
Answerback: ROYBAN

                                      -93-
<PAGE>
 
Percentage:  2.9368575624%      KREDIETBANK N.V.
- ----------                                         


                                By: /s/ Robert Snauffer      /s/ Tod R. Angus
                                   -------------------------------------------
                                   Robert Snauffer           Tod R. Angus
                                   Vice President            Vice President

Address for Notices:
- ------------------- 
Kredietbank N.V.
Two Midtown Plaza, Suite 1750
1349 West Peachtree Street
Atlanta, Georgia  30309
Attention:  Kojo Asakura, Assistant Vice President
Telephone No.: (404) 876-2556
Fax No.:  (404) 876-3212



Payment Instructions:
- -------------------- 
Name of Credit Bank:    Kredietbank N.V., New York Branch
City, State:            New York, New York
Method of Payment:      ABA 021 000018
For Credit To:          Kredietbank N.V.
Account No.:            8023015618
Reference:              Transocean Enterprise Inc.


Lending Office:
- -------------- 

Kredietbank N.V.
125 West 55th St.
New York, NY 10019
Attention: Linda Resuma

                                      -94-
<PAGE>
 
Percentage:  2.9368575624%      THE ROYAL BANK OF SCOTLAND plc, as Co-Agent 
- ----------                      and as a Lender


                                By: /s/ Russell Gibson
                                   ---------------------------------
                                   Russell Gibson
                                   Vice President and Deputy Manager

Address for Notices:
- ------------------- 
The Royal Bank of Scotland plc
Wall Street Plaza
88 Pine Street
New York, New York  10005
Attention:  Mr. Russell Gibson, Vice President and Deputy Manager
Telephone No.:  (212) 269-1706
Fax No.: (212) 480-0791



Payment Instructions:
- -------------------- 
Name of Credit Bank:  Morgan Guaranty Trust Co of NY
City, State:          New York, New York
Method of Payment:    FED ABA# 021000238
For Credit To:        The Royal Bank of Scotland plc
Account No.:          60000725
Attention:            Helaine Griffin


Lending Office:
- -------------- 
Name:     Helaine Griffin
Address:  Wall Street Plaza
          88 Pine St., 26th Floor
          New York, New York  10005-1801
Telephone:  (212) 269-1700 (Ext. 213)
Fax:      (212) 480-0791
Telefax:  WVI 620261 RBSNY

                                      -95-

<PAGE>
 
                                                                 EXHIBIT 10-(16)


                             Officer's Certificate
                             ---------------------


     Pursuant to Rule 306 of Regulation S-T and Rule 12b-12 under the Securities
Exchange Act of 1934, as amended, the undersigned, the Vice President and
General Counsel of Transocean Offshore Inc., a Delaware corporation (the
"Company"), does hereby certify that attached hereto as Annex A is a true and
correct summary in the English language of the material provisions of (i) the
Employment Agreement dated as of December 14, 1990 between Reidar Lund and
Transocean ASA (formerly, Transocean Drilling AS), as amended through May 31,
1996, (ii) the Early Retirement Agreement dated as of June 19, 1992 between
Reidar Lund and Transocean ASA, as amended through November 30, 1993, and (iii)
the Supplemental  Pension Agreement dated as of June 19, 1992 between Reidar
Lund and Transocean ASA, as amended through November 30, 1993, all of which are
Norwegian language documents.  The Company will provide a copy of any such
document to the Securities and Exchange Commission upon its request.

     IN WITNESS WHEREOF, the undersigned has executed this Certificate as of
March 21, 1997.


                                           /s/ Eric B. Brown
                                        --------------------------------------
                                        Eric B. Brown
                                        Vice President and General Counsel
<PAGE>
 
                                                                         Annex A
                                                                         -------

I.   Employment Agreement dated December 14, 1990 between Reidar Lund and
     Transocean ASA (formerly, Transocean Drilling AS), as amended through May
     31, 1996. Reidar Lund shall serve as president and chief executive officer
     at a salary of 1.5 million Norwegian kroner ("NOK") annually and shall be
     entitled to a company car at a price of up to NOK 400,000 and accident
     insurance at three times his annual salary. Either party must give six
     months notice to terminate Reidar Lund's employment. If the company
     terminates Reidar Lund's employment, he is entitled to receive 24 months'
     salary from the company, which payment will be offset by the amount of any
     salary he receives from a new position of employment; provided, however,
     that during such time period, Reidar Lund may not engage in any business
     activity in competition with the company (but see below).

     Reidar Lund is entitled to retire at any time after reaching 55 years of
     age. In such case, between 55 and 59, he will receive no compensation from
     the company. Between the ages of 60 and 65, he will receive a pension
     benefit equal to 100% of his annual base salary, reduced stepwise each year
     until he reaches the age of 65, at which time his pension benefit will be
     60% of his former annual base salary. Until reaching the age of 65, Reidar
     Lund is entitled to retain his company car and membership in group life and
     accident insurance. When his official Norwegian pension comes into effect,
     his pension benefit from the company will be reduced such that his total
     pension (government and company) is equal to 67% of his former annual base
     salary.

     If Reidar Lund's work responsibilities are considerably changed against his
     will as a result of any change of control or reorganization of the company
     brought about by the business combination with Transocean Offshore Inc.
     (formerly, Sonat Offshore Drilling Inc.), he is entitled to resign from the
     company upon three month's notice and to receive 36 months' salary from the
     company, which payment will be offset by the amount of any salary he
     receives from a new position of employment. He is obligated to actively
     seek new employment. Such compensation is also payable if the company
     terminates Reidar Lund without his being substantially in breach of this
     employment contract. In the event of such resignation or termination, the
     non-compete provisions of this employment contract will not apply.

II.  Early Retirement Agreement dated as of June 19, 1992 between Reidar Lund
     and Transocean ASA (formerly, Transocean Drilling AS), as amended through
     November 30, 1993. Reidar Lund is entitled to an early retirement pension
     from the ages 60 through 67. In connection with the same, he agrees to act
     as a consultant to the company at the discretion of the company until
     reaching the age of 67. Compensation received for consulting work will be
     deducted from the early retirement pension. The company has obtained
     insurance policies for the purpose

                                     -A-1-
<PAGE>
 
     of funding the early retirement pension. Upon termination of his employment
     or sale, merger, etc. of the company, Reidar Lund is entitled to the
     accrued value of these policies, which will be transferred to his name.
     Until age 67, the company will maintain Reidar Lund's group life insurance,
     unless his employment is terminated.

III. Supplemental Pension Agreement dated as of June 19, 1992 between Reidar
     Lund and Transocean ASA (formerly, Transocean Drilling AS), as amended
     through November 30, 1993. After Reidar Lund reaches the age of 67, he will
     be entitled to receive a supplemental pension payment until his death such
     that the total of all pension arrangements (government and other employment
     related) equals 67% of the average of his highest three annual salaries
     with the company. The company has purchased an insurance policy to fund the
     supplemental pension benefit, and will make additional payments directly to
     Reidar Lund if necessary to attain the 67% level. If Reidar Lund leaves the
     company prior to age 67, the company will cease paying insurance premiums
     under this policy, and Reidar Lund will then be entitled from and after the
     age of 67 to the amount the insurer pays the company with respect to the
     premiums previously paid before the termination of his employment.





                                     -A-2-

<PAGE>
 
                                                                 EXHIBIT 10-(17)


[LOGO OF TRANSOCEAN APPEARS HERE]                      TRANSOCEAN OFFSHORE INC.
                                                       4 GREENWAY PLAZA (77046)
                                                       POST OFFICE BOX 2765
                                                       HOUSTON, TEXAS 77252-2765

February 18, 1997


Reidar Lund
Plattformveien 2-4
Tananger, Norway

     Re:  Severance Agreement

Dear Reidar:

You have indicated a desire to leave Transocean Offshore Inc.  ("Transocean") in
order to pursue other business opportunities.  Transocean is appreciative of
your dedicated service to the company and wishes to arrange for a smooth
transition as well as to provide a business opportunity to you that can
hopefully be beneficial to both parties.  Accordingly, you and Transocean agree
as follows:

  1. You agree to remain as Chief Executive Officer of Transocean ASA until the
earlier of (a) a replacement being installed in Tananger or (b) July 1, 1997.

  2. You agree to remain on the Board of Directors of Transocean until your
employment with Transocean is terminated under either paragraphs 5 or 7 below.
At that time, you will resign from the board.

  3. You agree to use your good faith efforts to assist and support Transocean
in restructuring Transocean ASA, in its ongoing business activities and in the
resolution of the dispute with Statoil.

  4. You agree to lead the efforts to spin off in a public offering or to
otherwise sell or dispose of designated assets of TEC and TPT.  In the event
that there is a public offering such that there is a new listed company in
Norway, you agree to be the Chairman and Chief Executive of this new company
("Spinco").

  5. Transocean agrees that your salary and benefits will remain as present
until your employment with Transocean is terminated either (a) when Spinco goes
public or (b) the designated assets are sold.
<PAGE>
 
  6. (a)  If you leave Transocean to go to Spinco, Transocean agrees to pay you
a lump sum amount of $500,000. In addition, Transocean confirms that it will
honor the arrangements in your Early Retirement Agreement and Supplemental
Pension Agreement i.e. you will receive (i) the accrued value of the insurance
policies under the Early Retirement Agreement by the transfer of these policies
to you and (ii) the company will stop annual premium payments as to the
insurance under the Supplemental Pension Agreement and you will get the value of
that insurance at the time it would be paid under the Supplemental Pension
Agreement based upon the premiums paid to that date. Transocean further agrees
that if you leave because Spinco is sold in a public offering, Transocean will
reserve 2% of the stock in the initial offering for you and your designated
management team.

     (b) If you leave Transocean when the designated assets are sold, then
Transocean will pay you a lump sum amount equal to 36 months of your current
salary. In addition, Transocean confirms that it will honor the arrangements
under the Early Retirement Agreement and Supplemental Pension Agreement as set
forth above.

  7. In the event that by December 31, 1997, (a) Spinco is successfully formed
and sold in a public offering or (b) the assets are sold and in either event you
thus leave Transocean, then the compensation set forth above shall be in lieu of
and in full satisfaction of the company's responsibilities as to the
compensation you would otherwise be entitled to under your Employment Agreement
as supplemented on May 31, 1996.  In the event that the spinoff or sale has not
occurred by December 31, 1997, then you will leave Transocean as of 
December 31, 1997 and, as full satisfaction of the company's responsibilities,
you will be entitled to the compensation set forth in the May 1996 Supplement to
your Employment Agreement (i.e. 36 months of salary plus the insurance benefits
in Section 6); provided, however, that Transocean agrees that in that event your
future income or salary shall not be deducted from the payment to be made under
2.1 of this supplement to the Employment Agreement.

  Agreed and accepted at Houston, Texas on this 20th day of February 1997.

                                          TRANSOCEAN OFFSHORE INC.

                                           /s/ J. MICHAEL TALBERT
                                          ____________________________________
                                          J. Michael Talbert, Chairman and CEO

                                           /s/ REIDAR LUND
                                          ____________________________________
                                          Reidar Lund



<PAGE>
 
                                                                  EXHIBIT 21-(1)
 
                    SUBSIDIARIES OF TRANSOCEAN OFFSHORE INC.
 
<TABLE>
<CAPTION>
                                                                   JURISDICTION
                                                                        OF
NAME                                                               ORGANIZATION
- ----                                                              --------------
<S>                                                               <C>
Offshore Petroleum Services LDC.................................. Cayman Islands
Sonat Offshore Far East LDC...................................... Cayman Islands
Sonat Offshore International LDC................................. Cayman Islands
Sonat Offshore S.A...............................................     Panama
  Asie Sonat Offshore Sdn. Bhd...................................    Malaysia
  Sonat Brasocean Servicos de Perfuracoes Ltda...................     Brazil
  Sonat Offshore do Brazil Perfuracoes Maritimos Ltda............     Brazil
Sonat Servicos Maritimos Ltda....................................     Brazil
Transhav AS......................................................     Norway
Transocean Enterprise Inc........................................    Delaware
Transocean Offshore Drilling International Inc...................    Delaware
Transocean Offshore Drilling Services Inc........................    Delaware
Transocean Offshore Limited...................................... Cayman Islands
Transocean Offshore (North Sea) Limited.......................... Cayman Islands
Transocean Offshore Norway Inc...................................    Delaware
Transocean Offshore Services Ltd................................. Cayman Islands
Transocean Offshore Turnkey Drilling Inc. .......................    Delaware
  EPN-Sonat, S.A. de C.V.........................................     Mexico
  ES Perforadora.................................................     Mexico
  Offshore Turnkey Ventures......................................     Texas
  Offshore Turnkey Ventures L.L.C. ..............................    Delaware
Transocean Offshore USA Inc......................................    Delaware
Transocean Offshore Ventures Inc.................................    Delaware
  Transocean Offshore (U.K.) Inc. ...............................    Delaware
Transocean ASA...................................................     Norway
  Transocean Petroleum Technology AS.............................     Norway
    Transocean Petroleum Technology Ltd..........................      U.K.
    Transocean Internationale S.A................................   Argentina
  Transocean Ensign Technology Ltd...............................     Canada
  ITC AS.........................................................     Norway
  Vestbid Flyplassinvest AS......................................     Norway
  Mdt-Norske Drillsjenester......................................     Norway
  Anchor Drilling Fluids AS......................................     Norway
    Norbar Minerals AS...........................................     Norway
    Sun-Tek AS...................................................     Norway
  Procon Engineering AS..........................................     Norway
    Lynne Projects Ltd...........................................      U.K.
      Procon Engineering UK Ltd..................................      U.K.
      Defiant Weighing Ltd.......................................      U.K.
  Transocean Drilling USA Inc. (formerly Wilrig USA Inc.)........    Delaware
  Transocean Drilling Co. Inc....................................     Panama
  Transocean Drilling AS.........................................    Denmark
  Transocean Drilling Netherlands Ltd............................    Bahamas
  Transnor Rig Ltd...............................................      U.K.
  Transocean Drilling (Nigeria) Ltd..............................    Nigeria
  SDS Offshore Ltd...............................................      U.K.
    Ross Offshore Ltd............................................      U.K.
    Transocean Drilling Ltd......................................      U.K.
</TABLE>
<PAGE>
 
<TABLE>
<CAPTION>
                                                                JURISDICTION OF
                                                                      NAME
NAME                                                              ORGANIZATION
- ----                                                            ----------------
<S>                                                             <C>
    Shell Drilling Ltd.........................................       U.K.
    Transocean Kan Tan Ltd.....................................       U.K.
      Transocean Sino Ltd......................................       U.K.
  Wilrig Offshore Ltd. UK......................................       U.K.
  Transocean Drilling Inc. (formerly Wilrig Drilling Inc.).....      Canada
  Wilrig Holdings Ltd. UK......................................       U.K.
  Wilrig International AS......................................      Norway
    Odebrecht--Transocean JV...................................      Brazil
  SDS Offshore AS..............................................      Norway
  Ross International AS........................................      Norway
  Transocean Management AS.....................................      Norway
  Ross Drilling Co. AS.........................................      Norway
  North Sea Drilling Services AS...............................      Norway
  Wilrig Offshore Bahamas Inc..................................     Bahamas
  Transocean Drilling GmbH.....................................     Germany
  Duetag Transocean AS.........................................      Norway
  TO Welltrain AS..............................................      Norway
  Treasure Nymphea AS..........................................      Norway
  Transnor Rig AS..............................................      Norway
  Ross Offshore AS.............................................      Norway
  Target Drilling Services AS..................................      Norway
  Pelerin Drilling AS..........................................      Norway
    Dynamic Drilling Partnership............................... Marshall Islands
</TABLE>
 
                                       2

<PAGE>
 
                                                                 EXHIBIT 23-(1)
 
                        CONSENT OF INDEPENDENT AUDITORS
 
  We consent to the incorporation by reference in the Registration Statements
(Form S-8 No. 33-64776 and Form S-8 No. 333-12475) pertaining to the Long Term
Incentive Plan of Transocean Offshore Inc. (formerly Sonat Offshore Drilling
Inc.) and the Registration Statement (Form S-8 No. 33-66036) pertaining to the
Sonat Offshore Drilling Savings Plan of Sonat Offshore Drilling Inc. of our
report dated February 3, 1997, except for Note 19, as to which the date is
March 13, 1997, with respect to the consolidated financial statements of
Transocean Offshore Inc. included in the Form 10-K for the year ended December
31, 1996.
 
                                    /s/ Ernst & Young LLP
 
Houston, Texas
March 18, 1997

<PAGE>
 
                                                                  1996 Form 10-K

                           TRANSOCEAN OFFSHORE INC.

                               Power of Attorney
                               -----------------


     WHEREAS, TRANSOCEAN OFFSHORE INC., a Delaware corporation (the "Company"),
intends to file with the Securities and Exchange Commission (the "Commission")
pursuant to the Securities Exchange Act of 1934, as amended, and the rules and
regulations of the Commission promulgated thereunder, an annual report on Form
10-K for the fiscal year ended December 31, 1996,  together with any and all
exhibits and other instruments and documents necessary, advisable or appropriate
in connection therewith (the "Form 10-K");

     NOW, THEREFORE, the undersigned, in his capacity as a director or officer
or both, as the case may be, of the Company, does hereby appoint J. Michael
Talbert, Robert L. Long, Eric B. Brown and Barbara S. Koucouthakis, and each of
them severally, his true and lawful attorney or attorneys with power to act with
or without the other, and with full power of substitution and resubstitution, to
execute in his name, place and stead, in his capacity as director, officer or
both, as the case may be, of the Company, the Form 10-K and any and all
amendments thereto, including any and all exhibits and other instruments and
documents said attorney or attorneys shall deem necessary, appropriate or
advisable in connection therewith, and to file the same with the Commission and
to appear before the Commission in connection with any matter relating thereto.
Each of said attorneys shall have full power and authority to do and perform in
the name and on behalf of the undersigned, in any and all capacities, every act
whatsoever necessary or desirable to be done in the premises, as fully and to
all intents and purposes as the undersigned might or could do in person, the
undersigned hereby ratifying and approving the acts that said attorneys and each
of them, or their or his substitutes or substitute, may lawfully do or cause to
be done by virtue hereof.

     IN WITNESS WHEREOF, the undersigned has executed this power of attorney as
of the 13th day of March, 1997.



                                    /s/ RICHARD D. KINDER
                                    ----------------------------------
                                    Richard D. Kinder
<PAGE>
 
                                                                  1996 Form 10-K

                            TRANSOCEAN OFFSHORE INC.

                               Power of Attorney
                               -----------------


     WHEREAS, TRANSOCEAN OFFSHORE INC., a Delaware corporation (the "Company"),
intends to file with the Securities and Exchange Commission (the "Commission")
pursuant to the Securities Exchange Act of 1934, as amended, and the rules and
regulations of the Commission promulgated thereunder, an annual report on Form
10-K for the fiscal year ended December 31, 1996,  together with any and all
exhibits and other instruments and documents necessary, advisable or appropriate
in connection therewith (the "Form 10-K");

     NOW, THEREFORE, the undersigned, in his capacity as a director or officer
or both, as the case may be, of the Company, does hereby appoint J. Michael
Talbert, Robert L. Long, Eric B. Brown and Barbara S. Koucouthakis, and each of
them severally, his true and lawful attorney or attorneys with power to act with
or without the other, and with full power of substitution and resubstitution, to
execute in his name, place and stead, in his capacity as director, officer or
both, as the case may be, of the Company, the Form 10-K and any and all
amendments thereto, including any and all exhibits and other instruments and
documents said attorney or attorneys shall deem necessary, appropriate or
advisable in connection therewith, and to file the same with the Commission and
to appear before the Commission in connection with any matter relating thereto.
Each of said attorneys shall have full power and authority to do and perform in
the name and on behalf of the undersigned, in any and all capacities, every act
whatsoever necessary or desirable to be done in the premises, as fully and to
all intents and purposes as the undersigned might or could do in person, the
undersigned hereby ratifying and approving the acts that said attorneys and each
of them, or their or his substitutes or substitute, may lawfully do or cause to
be done by virtue hereof.

     IN WITNESS WHEREOF, the undersigned has executed this power of attorney as
of the 13th day of March, 1997.



                                    /s/ RONALD L. KUEHN, JR.
                                    ----------------------------------
                                    Ronald L. Kuehn, Jr.
<PAGE>
 
                                                                  1996 Form 10-K

                            TRANSOCEAN OFFSHORE INC.

                               Power of Attorney
                               -----------------


     WHEREAS, TRANSOCEAN OFFSHORE INC., a Delaware corporation (the "Company"),
intends to file with the Securities and Exchange Commission (the "Commission")
pursuant to the Securities Exchange Act of 1934, as amended, and the rules and
regulations of the Commission promulgated thereunder, an annual report on Form
10-K for the fiscal year ended December 31, 1996,  together with any and all
exhibits and other instruments and documents necessary, advisable or appropriate
in connection therewith (the "Form 10-K");

     NOW, THEREFORE, the undersigned, in his capacity as a director or officer
or both, as the case may be, of the Company, does hereby appoint J. Michael
Talbert, Robert L. Long, Eric B. Brown and Barbara S. Koucouthakis, and each of
them severally, his true and lawful attorney or attorneys with power to act with
or without the other, and with full power of substitution and resubstitution, to
execute in his name, place and stead, in his capacity as director, officer or
both, as the case may be, of the Company, the Form 10-K and any and all
amendments thereto, including any and all exhibits and other instruments and
documents said attorney or attorneys shall deem necessary, appropriate or
advisable in connection therewith, and to file the same with the Commission and
to appear before the Commission in connection with any matter relating thereto.
Each of said attorneys shall have full power and authority to do and perform in
the name and on behalf of the undersigned, in any and all capacities, every act
whatsoever necessary or desirable to be done in the premises, as fully and to
all intents and purposes as the undersigned might or could do in person, the
undersigned hereby ratifying and approving the acts that said attorneys and each
of them, or their or his substitutes or substitute, may lawfully do or cause to
be done by virtue hereof.

     IN WITNESS WHEREOF, the undersigned has executed this power of attorney as
of the 13th day of March, 1997.



                                    /s/ MAX L. LUKENS
                                    ----------------------------------
                                    Max L. Lukens
<PAGE>
 
                                                                  1996 Form 10-K

                            TRANSOCEAN OFFSHORE INC.

                               Power of Attorney
                               -----------------


     WHEREAS, TRANSOCEAN OFFSHORE INC., a Delaware corporation (the "Company"),
intends to file with the Securities and Exchange Commission (the "Commission")
pursuant to the Securities Exchange Act of 1934, as amended, and the rules and
regulations of the Commission promulgated thereunder, an annual report on Form
10-K for the fiscal year ended December 31, 1996,  together with any and all
exhibits and other instruments and documents necessary, advisable or appropriate
in connection therewith (the "Form 10-K");

     NOW, THEREFORE, the undersigned, in his capacity as a director or officer
or both, as the case may be, of the Company, does hereby appoint J. Michael
Talbert, Robert L. Long, Eric B. Brown and Barbara S. Koucouthakis, and each of
them severally, his true and lawful attorney or attorneys with power to act with
or without the other, and with full power of substitution and resubstitution, to
execute in his name, place and stead, in his capacity as director, officer or
both, as the case may be, of the Company, the Form 10-K and any and all
amendments thereto, including any and all exhibits and other instruments and
documents said attorney or attorneys shall deem necessary, appropriate or
advisable in connection therewith, and to file the same with the Commission and
to appear before the Commission in connection with any matter relating thereto.
Each of said attorneys shall have full power and authority to do and perform in
the name and on behalf of the undersigned, in any and all capacities, every act
whatsoever necessary or desirable to be done in the premises, as fully and to
all intents and purposes as the undersigned might or could do in person, the
undersigned hereby ratifying and approving the acts that said attorneys and each
of them, or their or his substitutes or substitute, may lawfully do or cause to
be done by virtue hereof.

     IN WITNESS WHEREOF, the undersigned has executed this power of attorney as
of the 13th day of March, 1997.



                                    /s/ MARTIN B. MCNAMARA
                                    ----------------------------------
                                    Martin B. McNamara
<PAGE>
 
                                                                  1996 Form 10-K

                            TRANSOCEAN OFFSHORE INC.

                               Power of Attorney
                               -----------------


     WHEREAS, TRANSOCEAN OFFSHORE INC., a Delaware corporation (the "Company"),
intends to file with the Securities and Exchange Commission (the "Commission")
pursuant to the Securities Exchange Act of 1934, as amended, and the rules and
regulations of the Commission promulgated thereunder, an annual report on Form
10-K for the fiscal year ended December 31, 1996,  together with any and all
exhibits and other instruments and documents necessary, advisable or appropriate
in connection therewith (the "Form 10-K");

     NOW, THEREFORE, the undersigned, in his capacity as a director or officer
or both, as the case may be, of the Company, does hereby appoint J. Michael
Talbert, Robert L. Long, Eric B. Brown and Barbara S. Koucouthakis, and each of
them severally, his true and lawful attorney or attorneys with power to act with
or without the other, and with full power of substitution and resubstitution, to
execute in his name, place and stead, in his capacity as director, officer or
both, as the case may be, of the Company, the Form 10-K and any and all
amendments thereto, including any and all exhibits and other instruments and
documents said attorney or attorneys shall deem necessary, appropriate or
advisable in connection therewith, and to file the same with the Commission and
to appear before the Commission in connection with any matter relating thereto.
Each of said attorneys shall have full power and authority to do and perform in
the name and on behalf of the undersigned, in any and all capacities, every act
whatsoever necessary or desirable to be done in the premises, as fully and to
all intents and purposes as the undersigned might or could do in person, the
undersigned hereby ratifying and approving the acts that said attorneys and each
of them, or their or his substitutes or substitute, may lawfully do or cause to
be done by virtue hereof.

     IN WITNESS WHEREOF, the undersigned has executed this power of attorney as
of the 13th day of March, 1997.



                                    /s/ KRISTIAN SIEM
                                    ----------------------------------
                                    Kristian Siem
<PAGE>
 
                                                                  1996 Form 10-K

                            TRANSOCEAN OFFSHORE INC.

                               Power of Attorney
                               -----------------


     WHEREAS, TRANSOCEAN OFFSHORE INC., a Delaware corporation (the "Company"),
intends to file with the Securities and Exchange Commission (the "Commission")
pursuant to the Securities Exchange Act of 1934, as amended, and the rules and
regulations of the Commission promulgated thereunder, an annual report on Form
10-K for the fiscal year ended December 31, 1996,  together with any and all
exhibits and other instruments and documents necessary, advisable or appropriate
in connection therewith (the "Form 10-K");

     NOW, THEREFORE, the undersigned, in his capacity as a director or officer
or both, as the case may be, of the Company, does hereby appoint J. Michael
Talbert, Robert L. Long, Eric B. Brown and Barbara S. Koucouthakis, and each of
them severally, his true and lawful attorney or attorneys with power to act with
or without the other, and with full power of substitution and resubstitution, to
execute in his name, place and stead, in his capacity as director, officer or
both, as the case may be, of the Company, the Form 10-K and any and all
amendments thereto, including any and all exhibits and other instruments and
documents said attorney or attorneys shall deem necessary, appropriate or
advisable in connection therewith, and to file the same with the Commission and
to appear before the Commission in connection with any matter relating thereto.
Each of said attorneys shall have full power and authority to do and perform in
the name and on behalf of the undersigned, in any and all capacities, every act
whatsoever necessary or desirable to be done in the premises, as fully and to
all intents and purposes as the undersigned might or could do in person, the
undersigned hereby ratifying and approving the acts that said attorneys and each
of them, or their or his substitutes or substitute, may lawfully do or cause to
be done by virtue hereof.

     IN WITNESS WHEREOF, the undersigned has executed this power of attorney as
of the 13th day of March, 1997.



                                    /s/ FRIDTJOF LORENTZEN
                                    ----------------------------------
                                    Fridtjof Lorentzen
<PAGE>
 
                                                                  1996 Form 10-K

                            TRANSOCEAN OFFSHORE INC.

                               Power of Attorney
                               -----------------


     WHEREAS, TRANSOCEAN OFFSHORE INC., a Delaware corporation (the "Company"),
intends to file with the Securities and Exchange Commission (the "Commission")
pursuant to the Securities Exchange Act of 1934, as amended, and the rules and
regulations of the Commission promulgated thereunder, an annual report on Form
10-K for the fiscal year ended December 31, 1996,  together with any and all
exhibits and other instruments and documents necessary, advisable or appropriate
in connection therewith (the "Form 10-K");

     NOW, THEREFORE, the undersigned, in his capacity as a director or officer
or both, as the case may be, of the Company, does hereby appoint J. Michael
Talbert, Robert L. Long, Eric B. Brown and Barbara S. Koucouthakis, and each of
them severally, his true and lawful attorney or attorneys with power to act with
or without the other, and with full power of substitution and resubstitution, to
execute in his name, place and stead, in his capacity as director, officer or
both, as the case may be, of the Company, the Form 10-K and any and all
amendments thereto, including any and all exhibits and other instruments and
documents said attorney or attorneys shall deem necessary, appropriate or
advisable in connection therewith, and to file the same with the Commission and
to appear before the Commission in connection with any matter relating thereto.
Each of said attorneys shall have full power and authority to do and perform in
the name and on behalf of the undersigned, in any and all capacities, every act
whatsoever necessary or desirable to be done in the premises, as fully and to
all intents and purposes as the undersigned might or could do in person, the
undersigned hereby ratifying and approving the acts that said attorneys and each
of them, or their or his substitutes or substitute, may lawfully do or cause to
be done by virtue hereof.

     IN WITNESS WHEREOF, the undersigned has executed this power of attorney as
of the 13th day of March, 1997.



                                    /s/ EINAR KLOSTER
                                    ----------------------------------
                                    Einar Kloster
<PAGE>
 
                                                                  1996 Form 10-K

                            TRANSOCEAN OFFSHORE INC.

                               Power of Attorney
                               -----------------


     WHEREAS, TRANSOCEAN OFFSHORE INC., a Delaware corporation (the "Company"),
intends to file with the Securities and Exchange Commission (the "Commission")
pursuant to the Securities Exchange Act of 1934, as amended, and the rules and
regulations of the Commission promulgated thereunder, an annual report on Form
10-K for the fiscal year ended December 31, 1996,  together with any and all
exhibits and other instruments and documents necessary, advisable or appropriate
in connection therewith (the "Form 10-K");

     NOW, THEREFORE, the undersigned, in his capacity as a director or officer
or both, as the case may be, of the Company, does hereby appoint J. Michael
Talbert, Robert L. Long, Eric B. Brown and Barbara S. Koucouthakis, and each of
them severally, his true and lawful attorney or attorneys with power to act with
or without the other, and with full power of substitution and resubstitution, to
execute in his name, place and stead, in his capacity as director, officer or
both, as the case may be, of the Company, the Form 10-K and any and all
amendments thereto, including any and all exhibits and other instruments and
documents said attorney or attorneys shall deem necessary, appropriate or
advisable in connection therewith, and to file the same with the Commission and
to appear before the Commission in connection with any matter relating thereto.
Each of said attorneys shall have full power and authority to do and perform in
the name and on behalf of the undersigned, in any and all capacities, every act
whatsoever necessary or desirable to be done in the premises, as fully and to
all intents and purposes as the undersigned might or could do in person, the
undersigned hereby ratifying and approving the acts that said attorneys and each
of them, or their or his substitutes or substitute, may lawfully do or cause to
be done by virtue hereof.

     IN WITNESS WHEREOF, the undersigned has executed this power of attorney as
of the 13th day of March, 1997.



                                    /s/ REIDAR LUND
                                    ----------------------------------
                                    Reidar Lund
<PAGE>
 
                                                                  1996 Form 10-K

                            TRANSOCEAN OFFSHORE INC.

                               Power of Attorney
                               -----------------


     WHEREAS, TRANSOCEAN OFFSHORE INC., a Delaware corporation (the "Company"),
intends to file with the Securities and Exchange Commission (the "Commission")
pursuant to the Securities Exchange Act of 1934, as amended, and the rules and
regulations of the Commission promulgated thereunder, an annual report on Form
10-K for the fiscal year ended December 31, 1996,  together with any and all
exhibits and other instruments and documents necessary, advisable or appropriate
in connection therewith (the "Form 10-K");

     NOW, THEREFORE, the undersigned, in his capacity as a director or officer
or both, as the case may be, of the Company, does hereby appoint J. Michael
Talbert, Robert L. Long, Eric B. Brown and Barbara S. Koucouthakis, and each of
them severally, his true and lawful attorney or attorneys with power to act with
or without the other, and with full power of substitution and resubstitution, to
execute in his name, place and stead, in his capacity as director, officer or
both, as the case may be, of the Company, the Form 10-K and any and all
amendments thereto, including any and all exhibits and other instruments and
documents said attorney or attorneys shall deem necessary, appropriate or
advisable in connection therewith, and to file the same with the Commission and
to appear before the Commission in connection with any matter relating thereto.
Each of said attorneys shall have full power and authority to do and perform in
the name and on behalf of the undersigned, in any and all capacities, every act
whatsoever necessary or desirable to be done in the premises, as fully and to
all intents and purposes as the undersigned might or could do in person, the
undersigned hereby ratifying and approving the acts that said attorneys and each
of them, or their or his substitutes or substitute, may lawfully do or cause to
be done by virtue hereof.

     IN WITNESS WHEREOF, the undersigned has executed this power of attorney as
of the 13th day of March, 1997.



                                    /s/ ROBERT J. LANIGAN
                                    ----------------------------------
                                    Robert J. Lanigan

<TABLE> <S> <C>

<PAGE>
 
<ARTICLE> 5
<LEGEND>
THIS SCHEDULE CONTAINS SUMMARY FINANCIAL INFORMATION EXTRACTED FROM THE
COMPANY'S ANNUAL REPORT ON FORM 10-K FOR THE FISCAL YEAR ENDED DECEMBER 31, 1996
AND IS QUALIFIED IN ITS ENTIRETY BY REFERENCE TO SUCH FINANCIAL STATEMENTS.
</LEGEND>
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   YEAR
<FISCAL-YEAR-END>                          DEC-31-1996
<PERIOD-START>                             JAN-01-1996
<PERIOD-END>                               DEC-31-1996
<CASH>                                          24,154
<SECURITIES>                                         0
<RECEIVABLES>                                  168,573
<ALLOWANCES>                                         0
<INVENTORY>                                          0
<CURRENT-ASSETS>                               252,246
<PP&E>                                       1,751,863
<DEPRECIATION>                                 381,515
<TOTAL-ASSETS>                               2,443,214
<CURRENT-LIABILITIES>                          231,478
<BONDS>                                        392,322
                                0
                                          0
<COMMON>                                           515
<OTHER-SE>                                   1,627,194
<TOTAL-LIABILITY-AND-EQUITY>                 2,443,214
<SALES>                                              0
<TOTAL-REVENUES>                               528,903
<CGS>                                                0
<TOTAL-COSTS>                                  421,289
<OTHER-EXPENSES>                                     0
<LOSS-PROVISION>                                     0
<INTEREST-EXPENSE>                               7,220
<INCOME-PRETAX>                                121,652
<INCOME-TAX>                                    43,607
<INCOME-CONTINUING>                             78,045
<DISCONTINUED>                                       0
<EXTRAORDINARY>                                      0
<CHANGES>                                            0
<NET-INCOME>                                    78,045
<EPS-PRIMARY>                                     2.17
<EPS-DILUTED>                                     2.17
        

</TABLE>


© 2022 IncJournal is not affiliated with or endorsed by the U.S. Securities and Exchange Commission