SOUTHWEST AIRLINES CO
424B2, 1998-05-28
AIR TRANSPORTATION, SCHEDULED
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<PAGE>   1
                                                Filed Pursuant to Rule 424(b)(2)
                                                      Registration No. 333-29257
PROSPECTUS SUPPLEMENT
 
(TO PROSPECTUS DATED JULY 15, 1997)
 
$95,531,435
 
                           [SOUTHWEST AIRLINES LOGO]
 
                             SOUTHWEST AIRLINES(SM)
 
                    PASS THROUGH CERTIFICATES, SERIES 1998-A
                               ------------------
     Each Pass Through Certificate offered hereby (each, a "Certificate" and,
collectively, the "Certificates") will represent a fractional undivided interest
in the Southwest Airlines 1998-A Pass Through Trust (the "Trust") to be formed
pursuant to Trust Supplement No. 1998-A (the "Trust Supplement"), which
supplements the Pass Through Trust Agreement dated as of February 1, 1993 (the
"Basic Agreement") between Southwest Airlines Co. ("Southwest" or the "Company")
and Wilmington Trust Company (the "Trustee"), as trustee of the Trust.
 
     The property of the Trust will include, among other things, equipment notes
(the "Equipment Notes") issued on a nonrecourse basis by the trustees of
separate owner trusts (each an "Owner Trustee") in connection with four separate
leveraged lease transactions to refinance not more than 80% of the equipment
cost to the related Owner Trustee of each of four Boeing 737-300 aircraft (each,
and collectively, the "Aircraft") which have been leased to Southwest. The
maturity dates of the Equipment Notes will occur on the final expected
distribution date applicable to the Certificates. The Equipment Notes issued
with respect to each Aircraft will be secured by a security interest in such
Aircraft and an assignment of certain rights under the lease relating thereto
(each, a "Lease"), including the right to receive rentals payable with respect
to such Aircraft by Southwest. Although neither the Certificates nor the
Equipment Notes will be obligations of, or guaranteed by, Southwest, the amounts
unconditionally payable by Southwest for lease of the Aircraft will be
sufficient to pay in full when due all amounts required to be paid on the
Equipment Notes held in the Trust.
 
     All of the Equipment Notes will accrue interest at the applicable rate per
annum for the Trust, payable on January 2 and July 2 of each year, commencing
July 2, 1998. Such interest will be passed through to Certificateholders (as
defined herein) on each such date. See "Description of the
Certificates--Payments and Distributions".
 
     Scheduled principal payments on the Equipment Notes will be passed through
to the Certificateholders of the Trust on January 2 or July 2 or both in certain
years, commencing July 2, 1998, in accordance with the principal repayment
schedule set forth herein under "Description of the Certificates--Pool Factors"
and "Description of the Equipment Notes--General".
 
                               ------------------
 
  THESE SECURITIES HAVE NOT BEEN APPROVED OR DISAPPROVED BY THE SECURITIES AND
 EXCHANGE COMMISSION OR ANY STATE SECURITIES COMMISSION NOR HAS THE SECURITIES
   AND EXCHANGE COMMISSION OR ANY STATE SECURITIES COMMISSION PASSED UPON THE
   ACCURACY OR ADEQUACY OF THIS PROSPECTUS SUPPLEMENT OR THE PROSPECTUS. ANY
             REPRESENTATION TO THE CONTRARY IS A CRIMINAL OFFENSE.
 
<TABLE>
<CAPTION>
===============================================================================================================================
                                                                 INITIAL SCHEDULED             FINAL
     PASS THROUGH            PRINCIPAL                               PRINCIPAL              DISTRIBUTION           PRICE TO
     CERTIFICATES             AMOUNT          INTEREST RATE      DISTRIBUTION DATE              DATE             PUBLIC(1)(2)
- -------------------------------------------------------------------------------------------------------------------------------
<S>                     <C>                  <C>               <C>                     <C>                     <C>
1998-A                      $95,531,435           6.53%             July 2, 1998            July 2, 2019             100%
===============================================================================================================================
</TABLE>
 
   (1) Plus accrued interest, if any, from May 29, 1998.
 
   (2) The underwriting commission aggregates $620,954, which constitutes 0.65%
       of the principal amount of the Certificates. The underwriting commission
       will be initially payable by Southwest and the Owner Participants in the
       leveraged lease transactions will reimburse Southwest for such expenses.
       All of the proceeds from the sale of the Certificates will be used to
       purchase Equipment Notes from the Owner Trustees.
 
                               ------------------
 
     The Certificates offered hereby are offered by the Underwriters, subject to
prior sale, when, as and if accepted by the Underwriters and subject to certain
conditions. It is expected that delivery of the Certificates in book-entry form
will be made on or about May 29, 1998 through the facilities of The Depository
Trust Company, against payment therefor in immediately available funds.
 
                               ------------------
SALOMON SMITH BARNEY
            CHASE SECURITIES INC.
                         LEHMAN BROTHERS
                                    NATIONSBANC MONTGOMERY SECURITIES LLC
 
May 21, 1998
<PAGE>   2
 
     CERTAIN PERSONS PARTICIPATING IN THIS OFFERING MAY ENGAGE IN TRANSACTIONS
THAT STABILIZE, MAINTAIN OR OTHERWISE AFFECT THE PRICE OF THE CERTIFICATES,
INCLUDING ENTERING STABILIZING BIDS, EFFECTING SYNDICATE COVERING TRANSACTIONS,
AND IMPOSING PENALTY BIDS. FOR A DESCRIPTION OF THESE ACTIVITIES, SEE
"UNDERWRITING."
 
                                       S-2
<PAGE>   3
 
                         PROSPECTUS SUPPLEMENT SUMMARY
 
     The following summary does not purport to be complete and is qualified in
its entirety by reference to the detailed information appearing elsewhere in
this Prospectus Supplement and the Prospectus accompanying this Prospectus
Supplement (the "Prospectus"). Certain capitalized terms used in this summary
are defined elsewhere in this Prospectus Supplement or in the Prospectus.
 
                                  THE COMPANY
 
     Southwest is a major United States airline that provides primarily
short-haul, high frequency, point-to-point, low fare service across the United
States, serving 51 cities in 25 states. In 1997, Southwest commenced service to
Jacksonville, Florida and Jackson, Mississippi, and it plans to add service to
Manchester, New Hampshire in June 1998. Southwest is the only major U.S. airline
that has been profitable each year since 1972. In terms of originating domestic
passengers boarded, Southwest is the fifth largest U.S. airline. As of December
31, 1997, Southwest operated 261 Boeing 737 aircraft. Southwest intends to
purchase 22 new Boeing 737 aircraft by year-end 1998, has contracted to purchase
104 such aircraft in 1999-2004, and has options to purchase an additional 62
such aircraft for deliveries in 2003 through 2006. In addition, in 1998
Southwest purchased three used Boeing 737 aircraft and will lease two used
Boeing 737 aircraft.
 
                                  THE OFFERING
 
Glossary......................   Included at the end of the accompanying
                                 Prospectus as Appendix I is a Glossary of
                                 certain of the significant defined terms used
                                 herein and in the Prospectus.
 
Trust.........................   The Trust is to be formed pursuant to a
                                 separate Trust Supplement to the Basic
                                 Agreement, between Southwest and the Trustee.
 
Trust Property................   The property of the Trust will consist of
                                 Equipment Notes issued on a nonrecourse basis
                                 by each of the Owner Trustees in four separate
                                 leveraged lease transactions to refinance not
                                 more than 80% of the equipment cost to the
                                 Owner Trustees of four Boeing 737-300 aircraft
                                 which have been leased by the related Owner
                                 Trustee to Southwest in 1996. The Equipment
                                 Notes with respect to each of the four Aircraft
                                 will be issued in one series under an indenture
                                 (each, an "Indenture") between the applicable
                                 Owner Trustee and the indenture trustee
                                 thereunder (the "Loan Trustee"). The maturity
                                 dates of the Equipment Notes will occur on the
                                 final expected distribution date applicable to
                                 the Certificates, July 2, 2019. The aggregate
                                 principal amount of the Equipment Notes will be
                                 the same as the aggregate principal amount of
                                 the Certificates.
 
Certificates Offered;
Book-Entry Registration.......   Each Certificate will represent a fractional
                                 undivided interest in the Trust. The
                                 Certificates will be issued in fully registered
                                 form only and will be registered in the name of
                                 Cede & Co. as the nominee of The Depository
                                 Trust Company. No person acquiring an interest
                                 in the Certificates will be entitled to receive
                                 a definitive certificate representing such
                                 person's interest in the Trust, unless
                                 definitive certificates are issued, which will
                                 only occur under limited circumstances. See
                                 "Description of the Certificates -- General,"
                                 "-- Book-Entry Registration" and "-- Definitive
                                 Certificates" in the Prospectus.
                                       S-3
<PAGE>   4
 
Use of Proceeds...............   The proceeds from the sale of the Certificates
                                 will be used to purchase the Equipment Notes
                                 issued by the respective Owner Trustees in
                                 connection with the refinancing of not more
                                 than 80% of the equipment cost to the
                                 applicable Owner Trustee of each of the
                                 Aircraft. The Equipment Notes will represent in
                                 the aggregate the entire debt portion of four
                                 leveraged lease transactions. See "Use of
                                 Proceeds" in this Prospectus Supplement.
 
Trustee.......................   Wilmington Trust Company will act as Trustee
                                 and paying agent and registrar for the
                                 Certificates. Wilmington Trust Company will
                                 also act as Loan Trustee for the Equipment
                                 Notes. See "Description of the
                                 Certificates -- The Trustee" in the Prospectus.
 
Regular Distribution Dates....   Each January 2 and July 2, commencing July 2,
                                 1998.
 
Special Distribution Dates....   Any Business Day on which a Special Payment is
                                 to be distributed.
 
Record Dates..................   The fifteenth day preceding a Regular or
                                 Special Distribution Date.
 
Distributions.................   All scheduled payments of principal and
                                 interest received by the Trustee on the
                                 Equipment Notes will be distributed by the
                                 Trustee to the Certificateholders on the dates
                                 referred to below except in certain cases where
                                 such Equipment Notes are in default. Payments
                                 of principal, premium, if any, and interest on
                                 the Equipment Notes resulting from the early
                                 redemption thereof, if any, will be distributed
                                 on the date of such redemption, which will be a
                                 Special Distribution Date. The Trustee will
                                 provide not less than 20 days' notice of such
                                 distribution to the Certificateholders. For a
                                 discussion of distributions upon an Event of
                                 Default, see "Description of the
                                 Certificates -- Events of Default and Certain
                                 Rights Upon an Event of Default" in the
                                 Prospectus.
 
Equipment Notes: Principal....   Principal paid on the Equipment Notes will be
                                 passed through to the Certificateholders in
                                 scheduled amounts on January 2 or July 2, or
                                 both, in certain years, commencing July 2,
                                 1998. Principal payments received will be
                                 passed through to the Certificateholders on the
                                 corresponding Regular Distribution Date. See
                                 "Description of the Certificates -- Payments
                                 and Distributions" in the Prospectus and this
                                 Prospectus Supplement.
 
Equipment Notes: Interest.....   The Equipment Notes will accrue interest
                                 payable in cash on each January 2 and July 2,
                                 commencing July 2, 1998, which will be passed
                                 through to Certificateholders on each such
                                 date. Interest is calculated on the basis of a
                                 360-day year consisting of twelve 30-day
                                 months. See "Description of the
                                 Certificates -- General" in the Prospectus and
                                 "Description of the Certificates -- Payments
                                 and Distributions" in this Prospectus
                                 Supplement.
 
Equipment Notes: Redemption...   (a) If (i) any Lease shall be terminated on the
                                 first day of any month occurring on or after
                                 the seventh anniversary of the delivery date
                                 (June 3, 1996) of an Aircraft under the
                                 applicable Lease by Southwest at its option if
                                 the related Aircraft has been determined by
                                 Southwest to be surplus to its requirements or
                                 economically obsolete to it, (ii) any Lease
                                 shall be terminated on January 2, 2015 in
                                 connection with a purchase by Southwest of the
                                 Aircraft subject to the terminated Lease where
                                 Southwest does not assume
                                       S-4
<PAGE>   5
 
                                 the obligations of the applicable Owner Trustee
                                 under the related Indenture, (iii) the
                                 applicable Owner Trustee or Owner Participant
                                 shall have given notice of a redemption or
                                 purchase at any time after a Lease Event of
                                 Default shall have occurred and be continuing
                                 for a period of 180 days or more, but less than
                                 one year, and the Equipment Notes have not been
                                 accelerated or (iv) Southwest shall have
                                 requested an optional redemption of the
                                 Equipment Notes related to any Aircraft as part
                                 of a refunding or refinancing thereof, then the
                                 Equipment Notes issued with respect to the
                                 related Aircraft may be redeemed or purchased
                                 on any Special Distribution Date at a price
                                 equal to the aggregate unpaid principal amount
                                 thereof, together with accrued interest thereon
                                 to, but not including, the date of redemption
                                 or purchase, as the case may be, plus, if such
                                 redemption or purchase, as the case may be, is
                                 made prior to February 26, 2010 (the "Premium
                                 Termination Date"), a Make-Whole Premium, if
                                 any. See "Description of the Equipment
                                 Notes -- Redemption -- Redemption with Premium"
                                 in this Prospectus Supplement for a description
                                 of the manner of computing the Make-Whole
                                 Premium.
 
                                 (b) The Equipment Notes issued with respect to
                                 any Aircraft will be redeemed in whole at a
                                 price equal to the aggregate unpaid principal
                                 amount thereof, together with accrued interest
                                 thereon to, but not including, the date of
                                 redemption, but without premium, on any Special
                                 Distribution Date upon the occurrence of an
                                 Event of Loss (as hereinafter defined) to such
                                 Aircraft if such Aircraft is not replaced by
                                 Southwest.
 
                                 (c) If under any Indenture (i) a Lease Event of
                                 Default shall have occurred and be continuing
                                 for a period of one year or more or (ii) the
                                 Equipment Notes issued thereunder shall have
                                 been accelerated, the applicable Owner Trustee
                                 or Owner Participant may elect to redeem or
                                 purchase on a Special Distribution Date the
                                 Equipment Notes issued under such Indenture at
                                 a price equal to the aggregate unpaid principal
                                 amount thereof, together with accrued interest
                                 thereon to, but not including, the date of
                                 redemption or purchase, but without premium.
                                 See "Description of the Equipment
                                 Notes -- Redemption -- Redemption Without
                                 Premium" in this Prospectus Supplement.
 
Equipment Notes: Security.....   The Equipment Notes issued with respect to each
                                 Aircraft will be secured by a security interest
                                 in such Aircraft and an assignment to the
                                 related Loan Trustee of certain of the related
                                 Owner Trustee's rights under the Lease with
                                 respect to such Aircraft, including the right
                                 to receive rentals and other amounts payable
                                 thereunder by Southwest in respect of such
                                 Aircraft, with certain exceptions. The
                                 Equipment Notes will not be
                                 cross-collateralized, and consequently the
                                 Equipment Notes issued in respect of any one
                                 Aircraft will not be secured by any of the
                                 other Aircraft or the Leases related thereto.
                                 There are no cross-default provisions in the
                                 Indentures, and, consequently, events resulting
                                 in any Indenture Default under any particular
                                 Indenture may not necessarily result in an
                                 Indenture Default occurring under any other
                                 Indenture. If the Equipment Notes issued in
                                 respect of one or more Aircraft are in default,
                                 the Equipment Notes issued in respect of the
                                 remaining Aircraft may
 
                                       S-5
<PAGE>   6
 
                                 not be in default and, if not in default, no
                                 remedies will be exercisable under the
                                 Indentures with respect to such remaining
                                 Aircraft.
 
                                 Although the Equipment Notes will not be direct
                                 obligations of, or guaranteed by, Southwest,
                                 the amounts unconditionally payable by
                                 Southwest for lease of the Aircraft will be in
                                 amounts sufficient to pay in full when due all
                                 payments required to be made on the Equipment
                                 Notes. See "Description of the Equipment
                                 Notes -- General" in this Prospectus Supplement
                                 and in the Prospectus.
 
Federal Income Tax
Consequences..................   The Trust will be classified as a grantor trust
                                 for federal income tax purposes, and therefore
                                 each Certificate Owner will be treated as the
                                 owner of a pro rata undivided interest in each
                                 of the Equipment Notes and any other property
                                 held in the Trust and will be required to
                                 report on its federal income tax return its pro
                                 rata share of income from such Equipment Notes
                                 and such other property in accordance with such
                                 Certificate Owner's method of accounting. See
                                 "Federal Income Tax Consequences" in the
                                 Prospectus.
 
ERISA Considerations..........   The Certificates, with certain exceptions, are
                                 eligible for purchase by employee benefit
                                 plans. See "ERISA Considerations" in this
                                 Prospectus Supplement.
 
                                       S-6
<PAGE>   7
 
                                  THE COMPANY
 
     Southwest is a major United States airline that provides primarily
short-haul, high frequency, point-to-point, low fare service across the United
States, serving 51 cities in 25 states. In 1997, Southwest commenced service to
Jacksonville, Florida and Jackson, Mississippi, and it plans to add service to
Manchester, New Hampshire in June 1998. Southwest is the only major U.S. airline
that has been profitable each year since 1972. In terms of originating domestic
passengers boarded, Southwest is the fifth largest U.S. airline. As of
December 31, 1997, Southwest operated 261 Boeing 737 aircraft. Southwest intends
to purchase 22 new Boeing 737 aircraft by year-end 1998, has contracted to
purchase 104 such aircraft in 1999-2004, and has options to purchase an
additional 62 such aircraft for deliveries in 2003 through 2006. In addition, in
1998 Southwest purchased three used Boeing 737 aircraft and will lease two used
Boeing 737 aircraft
 
                      RATIOS OF EARNINGS TO FIXED CHARGES
 
<TABLE>
<CAPTION>
                                          THREE MONTHS
                                              ENDED
                                            MARCH 31,            YEAR ENDED DECEMBER 31,
                                          -------------   -------------------------------------
                                          1998    1997    1997    1996    1995    1994    1993
                                          -----   -----   -----   -----   -----   -----   -----
<S>                                       <C>     <C>     <C>     <C>     <C>     <C>     <C>
Ratios of Earnings to Fixed Charges....    3.18    2.59     3.5    2.73    2.62    2.93    2.83
</TABLE>
 
     The ratios of earnings to fixed charges have been computed using earnings
which are the sum of net income, income taxes and fixed charges adjusted to
exclude interest capitalized during the period. Fixed charges are interest,
whether expensed or capitalized, amortization of debt discount and expense and
that portion of rental charges estimated to be representative of an interest
factor.
 
                                       S-7
<PAGE>   8
 
               SELECTED CONSOLIDATED FINANCIAL AND OPERATING DATA
 
     The following selected consolidated financial data for the three years
ended December 31, 1997 have been derived from Southwest's consolidated
financial statements, which statements have been audited by Ernst & Young LLP,
independent auditors, as indicated in their reports incorporated by reference
herein. The selected consolidated financial data for the three months ended
March 31, 1998 and March 31, 1997 have been derived from Southwest's
consolidated financial statements which have not been audited but which, in the
opinion of management, reflect all adjustments (consisting of only normal
recurring items) necessary to present fairly the information contained therein.
Operating results for the three months ended March 31, 1998 are not necessarily
indicative of the results that may be expected for the year ending December 31,
1998. The following should be read in conjunction with the consolidated
financial statements and related notes of Southwest included in its Annual
Report on Form 10-K for the year ended December 31, 1997, and its Quarterly
Report on Form 10-Q for the three months ended March 31, 1998. See
"Incorporation of Certain Documents by Reference" in the Prospectus.
 
<TABLE>
<CAPTION>
                                             THREE MONTHS ENDED
                                                  MARCH 31,                 YEAR ENDED DECEMBER 31,
                                           -----------------------   -------------------------------------
                                              1998         1997         1997         1996          1995
                                           ----------   ----------   ----------   ----------    ----------
<S>                                        <C>          <C>          <C>          <C>           <C>
CONSOLIDATED FINANCIAL DATA:
  (IN THOUSANDS)
Operating revenues.......................  $  942,653   $  887,095   $3,816,821   $3,406,170    $2,872,751
Operating expenses.......................     830,960      799,892    3,292,585    3,055,335     2,559,220
                                           ----------   ----------   ----------   ----------    ----------
Operating income.........................     111,693       87,203      524,236      350,835       313,531
Other expenses (income), net.............      (2,364)       3,802        7,280        9,473         8,391
                                           ----------   ----------   ----------   ----------    ----------
Income before income taxes...............     114,057       83,401      516,956      341,362       305,140
Provision for income taxes...............      44,049       32,527      199,184      134,025       122,514
                                           ----------   ----------   ----------   ----------    ----------
Net income...............................  $   70,008   $   50,874   $  317,772   $  207,337    $  182,626
                                           ==========   ==========   ==========   ==========    ==========
Total assets at period-end...............  $4,339,211   $3,857,245   $4,246,160   $3,723,479    $3,256,122
Longterm obligations at period-end.......  $  624,775   $  639,188   $  628,106   $  650,226    $  661,010
Stockholders' equity at period-end.......  $2,095,633   $1,699,872   $2,009,018   $1,648,312    $1,427,318
CONSOLIDATED OPERATING DATA:
Revenue passengers carried...............  11,848,686   12,046,184   50,399,960   49,621,504    44,785,573
Revenue passenger miles (RPMs) (000s)....   6,898,847    6,533,046   28,355,169   27,083,483    23,327,804
Available seat miles (ASMs) (000s).......  11,270,174   10,517,635   44,487,496   40,727,495    36,180,001
Load factor..............................        61.2%        62.1%        63.7%        66.5%         64.5%
Average length of passenger haul
  (miles)................................         582          542          563          546           521
Trips flown..............................     195,177      190,205      786,288      748,634       685,524
Average passenger fare...................  $    75.52   $    70.49   $    72.21   $    65.88    $    61.64
Passenger revenue yield per RPM..........       12.97c       13.00c       12.84c       12.07c        11.83c
Operating revenue yield per ASM..........        8.36c        8.43c        8.58c        8.36c         7.94c
Operating expenses per ASM...............        7.37c        7.61c        7.40c        7.50c         7.07c
Average fuel cost per gallon, excluding
  fuel tax...............................       50.22c       71.45c       62.46c       65.47c        55.22c
Number of Employees at period-end........      24,151       23,544       23,974       22,944        19,933
Size of fleet at period-end..............         264          246          261          243           224
</TABLE>
 
                                       S-8
<PAGE>   9
 
                                USE OF PROCEEDS
 
     The Certificates offered hereby are being issued in connection with the
refinancing of the debt portion of four separate leveraged lease transactions
entered into by Southwest, as lessee, in 1996 with respect to four Boeing
737-300 aircraft. Each of the Aircraft was delivered from the manufacturer to
Southwest in the first quarter of 1996. On June 3, 1996, each Aircraft was sold
by Southwest to an Owner Trustee and leased back to Southwest. The debt
currently outstanding under the leveraged lease transactions with respect to the
Aircraft consists of variable interest rate amortizing loan certificates, each
with a stated maturity of July 2, 2019. The proceeds from the sale of the
Certificates offered hereby will be used by the Trustee on behalf of the Trust
to purchase Equipment Notes issued by the respective Owner Trustees to refinance
not more than 80% of the equipment cost to such Owner Trustees of the related
Aircraft.
 
     The Equipment Notes will be issued under four separate Indentures, each
such Indenture being between Wilmington Trust Company, as Loan Trustee
thereunder, and First Union National Bank, not in its individual capacity, but
solely as Owner Trustee of separate trusts for the benefit of the Owner
Participants. Each Owner Participant has provided from sources other than the
Equipment Notes at least 20% of the equipment cost to the related Owner Trustee
of the related Aircraft and beneficially owns the related Aircraft. No Owner
Participant, however, will be personally liable for any amount payable under any
Indenture or the Equipment Notes issued thereunder.
 
                                       S-9
<PAGE>   10
 
                              DIAGRAM OF PAYMENTS
 
     The following diagram illustrates certain aspects of the payment flows
among Southwest, the Owner Trustees, the Loan Trustees, the Trustee, the Owner
Participants and the Certificateholders with respect to the Trust and the four
Aircraft.
 
     Southwest leases each Aircraft under a separate Lease from the Owner
Trustee for such Aircraft. The Equipment Notes for each such Aircraft will be
issued by such Owner Trustee in one series and will be secured by such Aircraft
and by an assignment of certain rights of the related Owner Trustee under the
related Lease. As a result of the assignment of each Lease, Southwest will make
rental payments for each Aircraft directly to the Loan Trustee. From these
rental payments the related Loan Trustee will, on behalf of each Owner Trustee,
first make payments to the Trustee on the Equipment Notes and will pay the
remaining balance to the respective Owner Trustee for the benefit of the
respective Owner Participant. The Trustee will pass through to the
Certificateholders payments received with respect to the Equipment Notes.
Wilmington Trust Company will act both as Trustee of the Trust and as Loan
Trustee under the four Indentures.
 
                             [DIAGRAM OF PAYMENTS]
- ------------
 
* A separate Owner Trustee and Owner Participant structure exists for each
  Aircraft. Aircraft No. 1 is shown as an example.
 
                                      S-10
<PAGE>   11
 
                        DESCRIPTION OF THE CERTIFICATES
 
     The Certificates offered hereby will be issued pursuant to a Trust
Supplement to be entered into between Southwest and the Trustee pursuant to the
terms of the Basic Agreement. The following summary of the particular terms of
the Certificates offered hereby supplements, and to the extent inconsistent
therewith replaces, the description of the general terms and provisions of the
Certificates set forth in the accompanying Prospectus under the caption
"Description of the Certificates." The statements under this caption are a
summary and do not purport to be complete. The summary makes use of terms
defined in and is qualified in its entirety by reference to all of the
provisions of the Basic Agreement, a form of which has been filed as an exhibit
to the Registration Statement of which this Prospectus Supplement is a part, and
to all of the provisions of the Trust Supplement which, together with the forms
of the related Note Purchase Agreements (which are described herein as the
Participation Agreements and the Refinancing Agreements), Indentures, Leases and
Trust Agreements, will be filed by Southwest with the Commission as exhibits to
a Current Report on Form 8-K. Except as otherwise indicated, the following
summaries relate to the Basic Agreement, the Trust Supplement and the Trust
formed thereby and the Certificates issued by the Trust. Citations to the
relevant sections of the Basic Agreement appear below in parentheses unless
otherwise indicated.
 
PAYMENTS AND DISTRIBUTIONS
 
     The Certificates will be issued in fully registered form and will be
registered in the name of Cede & Co., as the nominee of The Depository Trust
Company. See "Description of the Certificates -- General" in the Prospectus. No
person acquiring an interest in the Certificates will be entitled to receive a
definitive certificate representing such person's interest in the Trust unless
definitive certificates are issued under the limited circumstances described in
the Prospectus under the caption "Description of the Certificates -- Book-Entry
Registration."
 
     Payments of principal, premium, if any, and interest with respect to the
Equipment Notes will be distributed by the Trustee to Certificateholders on the
date receipt of such payment is confirmed by the Trustee, except in certain
cases when some or all of such Equipment Notes are in default. See "Description
of the Certificates -- Events of Default and Certain Rights Upon an Event of
Default" in the Prospectus. Interest paid on the Equipment Notes will be passed
through to the Certificateholders on each January 2 and July 2 commencing on
July 2, 1998 until all principal due under the Equipment Notes has been repaid.
Payments of principal on the Equipment Notes are scheduled to be received by the
Trustee on January 2 or July 2, or both, in certain years, depending upon the
terms of the Equipment Notes, commencing July 2, 1998 (such scheduled payments
of principal or interest on the Equipment Notes are herein referred to as
"Scheduled Payments"). Scheduled Payments of principal on the Equipment Notes
are set forth below under "Description of the Equipment Notes -- General." The
Trustee will distribute on each Regular Distribution Date to the
Certificateholders all Scheduled Payments, the receipt of which is confirmed by
the Trustee on such Regular Distribution Date. Each Certificateholder will be
entitled to receive a pro rata share of any distribution in respect of Scheduled
Payments of principal or interest made on the Equipment Notes. Each such
distribution in respect of Scheduled Payments will be made by the Trustee to the
holders of record of the Certificates on the fifteenth day preceding such
Regular Distribution Date, subject to certain exceptions. (Sections 4.01 and
4.02) If a Scheduled Payment is not received by the Trustee on a Regular
Distribution Date but is received within five days thereafter, it will be
distributed on the date received to such holders of record. If it is received
after such five day period, it will be treated as a Special Payment (as defined
below) and distributed as described below.
 
     Payments of principal, premium, if any, and interest received by the
Trustee on account of the early redemption, if any, of the Equipment Notes
relating to one or more Aircraft, and payments received by the Trustee following
a default in respect of the Equipment Notes relating to one or more Aircraft
(including payments received by the Trustee on account of the purchase by the
related Owner Trustee of such Equipment Notes or payments received on account of
the sale of such Equipment Notes by the Trustee) ("Special Payments") will be
distributed (i) in the case of an early redemption of Equipment Notes arising by
virtue of an Event of Loss, a refinancing of such Equipment Notes, a purchase or
early redemption by the related Owner Participant or Owner Trustee of such
Equipment Notes, or an early redemption of Equipment Notes arising by virtue of
a voluntary termination of the related Lease due to obsolescence or exercise by
Southwest of specified purchase options, on the date of the receipt of the
applicable redemption or purchase price therefor, which shall be a Business Day,
and (ii) otherwise, on the Business Day specified for
 
                                      S-11
<PAGE>   12
 
distribution in a notice mailed by the Trustee as soon as practicable after
receipt of such funds (a "Special Distribution Date"). The Trustee will mail
notice to the Certificateholders not less than 20 days prior to the Special
Distribution Date on which any Special Payment is scheduled to be distributed by
the Trustee, or, in certain circumstances, as soon as practicable after receipt
of the Special Payment, stating such anticipated Special Distribution Date.
(Section 4.02) Each distribution of a Special Payment, other than a final
distribution, on a Special Distribution Date will be made by the Trustee to the
Certificateholders of record on the fifteenth day next preceding such Special
Distribution Date. See "Description of the Equipment Notes -- Redemption" in
this Prospectus Supplement and "Description of the Certificates -- Events of
Default and Certain Rights Upon an Event of Default" in the Prospectus.
 
     In the event that, on the delivery date of any Certificates, all of the
proceeds from the sale of such Certificates are not used to purchase the
Equipment Notes contemplated to be held in the Trust, such Equipment Notes may
be purchased by the Trustee at any time on or prior to June 15, 1998. In such
event, the Trustee will hold the proceeds from the sale of such Certificates not
used to purchase Equipment Notes in an escrow account pending the purchase of
the Equipment Notes not so purchased. Such proceeds will be invested in
Specified Investments having maturity dates in no event later than July 6, 1998
at the direction and risk of, and for the account of, Southwest. Southwest will
be responsible for any losses. To the extent that any amount of the proceeds
from the sale of any Certificates held in the escrow account referred to above
is not used to purchase Equipment Notes on or prior to June 15, 1998, an amount
equal to the unused proceeds will be distributed by the Trustee to the holders
of record of such Certificates on a pro rata basis upon not less than 20 days'
prior notice to them as a Special Payment on a Special Distribution Date not
later than July 6, 1998 together with interest thereon at a rate equal to the
rate applicable to such Certificates, but without premium, and Southwest will
pay to the Trustee on such date an amount equal to such interest. (Section
2.02(b))
 
     The Trustee shall initially be the paying agent and registrar with respect
to the Certificates. (Section 7.11(b))
 
POOL FACTORS
 
     As of the date of sale by the Trustee of the Certificates and assuming that
no early redemption, default or purchase of any Equipment Notes shall occur, the
Scheduled Payments of principal on the Equipment Notes and the resulting Pool
Factors after taking into account each Scheduled Payment are set forth below:
 
<TABLE>
<CAPTION>
                                                            EQUIPMENT
                                                              NOTES
                        REGULAR                             SCHEDULED
                      DISTRIBUTION                           PAYMENTS
                          DATE                             OF PRINCIPAL     POOL FACTOR
                      ------------                        --------------    -----------
<S>                                                       <C>               <C>
July 2, 1998............................................  $ 3,276,948.81     0.9656977
July 2, 1999............................................    1,856,509.00     0.9462642
July 2, 2000............................................    1,995,747.17     0.9253732
July 2, 2001............................................    2,145,428.21     0.9029154
July 2, 2002............................................    2,306,335.33     0.8787732
July 2, 2003............................................    2,479,310.48     0.8528204
July 2, 2004............................................    2,665,258.76     0.8249211
July 2, 2005............................................    2,601,452.30     0.7976897
July 2, 2006............................................    1,969,372.96     0.7770748
January 2, 2007.........................................    5,239,410.80     0.7222299
January 2, 2008.........................................    5,775,630.57     0.6617720
January 2, 2009.........................................    6,225,679.71     0.5966031
January 2, 2010.........................................    6,710,797.61     0.5263561
January 2, 2011.........................................    7,233,716.90     0.4506353
January 2, 2012.........................................    7,797,383.15     0.3690142
January 2, 2013.........................................    8,404,971.45     0.2810330
January 2, 2014.........................................    9,059,904.29     0.1861961
January 2, 2015.........................................    9,424,665.12     0.0875409
January 2, 2019.........................................    3,183,438.74     0.0542175
July 2, 2019............................................    5,179,473.64     0.0000000
                                                          --------------
                                                          $95,531,435.00
                                                          ==============
</TABLE>
 
     See "Description of the Certificates -- Pool Factors" in the Prospectus and
the definitions of "Pool Balance" and "Pool Factor" in the Glossary.
 
                                      S-12
<PAGE>   13
 
                       DESCRIPTION OF THE EQUIPMENT NOTES
 
     The following summary of the particular terms and provisions of the
Equipment Notes supplements, and to the extent inconsistent therewith replaces,
the description of the general terms and provisions of the Equipment Notes set
forth in the Prospectus under the heading "Description of the Equipment Notes."
The statements under this caption are summaries and do not purport to be
complete. The summaries make use of terms defined in and are qualified in their
entirety by reference to all of the provisions of the Equipment Notes, the
Indentures, the Leases, the Participation Agreements and the Refinancing
Agreements, the forms of which will be filed by Southwest with the Commission as
exhibits to a Current Report on Form 8-K. The summaries should be read in
conjunction with the statements under the heading "Description of the Equipment
Notes" in the Prospectus. The following summaries relate to the Equipment Notes,
the Indenture, the Lease, the Participation Agreement, the Trust Agreement and
the Refinancing Agreement relating to each Aircraft.
 
GENERAL
 
     The Equipment Notes for each of the four Aircraft will be issued in a
single series. The Equipment Notes with respect to each Aircraft will be issued
under a separate Indenture between First Union National Bank of North Carolina,
as Owner Trustee of a separate trust for the benefit of the Owner Participant
who is the beneficial owner of such Aircraft, and Wilmington Trust Company, as
Loan Trustee.
 
     The related Owner Trustee leases each Aircraft to Southwest pursuant to a
separate Lease between such Owner Trustee and Southwest with respect to such
Aircraft. Southwest is obligated to make or cause to be made rental and other
payments to the related Loan Trustee on behalf of the related Owner Trustee in
amounts that will be at least sufficient to pay in full when due all payments
required to be made on the Equipment Notes issued with respect to such Aircraft.
The Equipment Notes, however, are not direct obligations of, or guaranteed by,
Southwest. Southwest's rental obligations under each Lease will be general
obligations of Southwest.
 
     The aggregate principal amount of the Equipment Notes issued with respect
to each Boeing 737-300 Aircraft, as such Equipment Notes will be held in the
Trust, is as follows:
 
<TABLE>
<CAPTION>
      AIRCRAFT                                                                        EQUIPMENT
         NO.                                                                            NOTES
      --------                                                                      --------------
<S>                                                                                 <C>
  1...............................................................................  $23,882,858.75
  2...............................................................................   23,882,858.75
  3...............................................................................   23,882,858.75
  4...............................................................................   23,882,858.75
                                                                                    --------------
            Total.................................................................  $95,531,435.00
                                                                                    ==============
</TABLE>
 
     Interest will be payable on each Equipment Note at the rate applicable to
such Equipment Note on the unpaid principal amount thereof on January 2 and July
2 in each year, commencing July 2, 1998. Such interest will be computed on the
basis of a 360-day year of twelve 30-day months.
 
                                      S-13
<PAGE>   14
 
     The Scheduled Payments of principal of the Equipment Notes issued in
respect of each Aircraft will be payable as set forth below:
 
<TABLE>
<CAPTION>
       REGULAR            AIRCRAFT         AIRCRAFT         AIRCRAFT         AIRCRAFT        AGGREGATE
  DISTRIBUTION DATE        NO. 1            NO. 2            NO. 3            NO. 4            TOTAL
  -----------------    --------------   --------------   --------------   --------------   --------------
<S>                    <C>              <C>              <C>              <C>              <C>
July 2, 1998.........  $   819,237.21   $   819,237.20   $   819,237.20   $   819,237.20   $ 3,276,948.81
July 2, 1999.........      464,127.25       464,127.25       464,127.25       464,127.25     1,856,509.00
July 2, 2000.........      498,936.79       498,936.79       498,936.80       498,936.79     1,995,747.17
July 2, 2001.........      536,357.05       536,357.06       536,357.05       536,357.05     2,145,428.21
July 2, 2002.........      576,583.83       576,583.83       576,583.83       576,583.84     2,306,335.33
July 2, 2003.........      619,827.62       619,827.62       619,827.62       619,827.62     2,479,310.48
July 2, 2004.........      666,314.69       666,314.69       666,314.69       666,314.69     2,665,258.76
July 2, 2005.........      650,363.08       650,363.08       650,363.07       650,363.07     2,601,452.30
July 2, 2006.........      492,343.24       492,343.24       492,343.24       492,343.24     1,969,372.96
January 2, 2007......    1,309,852.70     1,309,852.70     1,309,852.70     1,309,852.70     5,239,410.80
January 2, 2008......    1,443,907.64     1,443,907.64     1,443,907.65     1,443,907.64     5,775,630.57
January 2, 2009......    1,556,419.93     1,556,419.93     1,556,419.93     1,556,419.92     6,225,679.71
January 2, 2010......    1,677,699.40     1,677,699.40     1,677,699.40     1,677,699.41     6,710,797.61
January 2, 2011......    1,808,429.23     1,808,429.23     1,808,429.22     1,808,429.22     7,233,716.90
January 2, 2012......    1,949,345.79     1,949,345.79     1,949,345.79     1,949,345.78     7,797,383.15
January 2, 2013......    2,101,242.86     2,101,242.86     2,101,242.86     2,101,242.87     8,404,971.45
January 2, 2014......    2,264,976.07     2,264,976.07     2,264,976.07     2,264,976.08     9,059,904.29
January 2, 2015......    2,356,166.28     2,356,166.28     2,356,166.28     2,356,166.28     9,424,665.12
January 2, 2019......      795,859.68       795,859.68       795,859.69       795,859.69     3,183,438.74
July 2, 2019.........    1,294,868.41     1,294,868.41     1,294,868.41     1,294,868.41     5,179,473.64
                       --------------   --------------   --------------   --------------   --------------
Total................  $23,882,858.75   $23,882,858.75   $23,882,858.75   $23,882,858.75   $95,531,435.00
                       ==============   ==============   ==============   ==============   ==============
</TABLE>
 
     If any date scheduled for any payment of principal, premium, if any, or
interest with respect to the Equipment Notes is not a Business Day, such payment
will be made on the next succeeding Business Day without any additional
interest.
 
REDEMPTION
 
     Redemption with Premium. The Equipment Notes issued with respect to each
Aircraft are separately subject to redemption or purchase in whole prior to
maturity, without the consent of the Trustee, (i) on the first day of any month
occurring after the seventh anniversary of the date of delivery (June 3, 1996)
of the Aircraft under the applicable Lease in connection with a voluntary
termination by Southwest of the related Lease if such Aircraft has been
determined by Southwest to be surplus to its requirements or economically
obsolete to it, (ii) on January 2, 2015 in connection with a voluntary
termination by Southwest of such Lease for any reason and a purchase by
Southwest of such Aircraft where Southwest does not assume the obligations of
the applicable Owner Trustee under the related Indenture, (iii) on any Special
Distribution Date in connection with an optional redemption as a part of a
refunding or refinancing thereof, or (iv) at the option of the applicable Owner
Trustee or Owner Participant at any time after a Lease Event of Default under
the related Lease shall have occurred and be continuing for a period of 180 days
or more, but less than one year, during which period such Equipment Notes shall
not have been accelerated following notice by such Owner Trustee or Owner
Participant of its election to so redeem or purchase such Equipment Notes. The
price for the Equipment Notes redeemed under the circumstances set forth above
shall be equal to the Redemption Price, plus, if such redemption is made prior
to February 26, 2010 (the "Premium Termination Date"), a Make-Whole Premium (as
defined below), if any, or if on or after the Premium Termination Date, without
premium. (Indentures, Article 6; Leases, Sections 9.1, 18.2(b) and 18.2(c)). If
the proposed sale of an Aircraft (as described in "Description of the Equipment
Notes -- The Leases -- Termination") on a lease termination date is not
completed, the corresponding redemption will not take place and any notice of
redemption will be deemed revoked. (Indentures, Section 6.03)
 
                                      S-14
<PAGE>   15
 
     The "Make-Whole Premium," if any, on each Equipment Note issued under a
particular Indenture will be determined by an independent investment banking
institution of national standing selected by Southwest. The Make-Whole Premium
will be determined as of the Business Day prior to the redemption date and will
equal the excess, if any, of (i) the present values of all of the remaining
Scheduled Payments from the redemption date to the scheduled maturity of such
Equipment Note (excluding interest accrued from the immediately preceding
interest payment date to such redemption date), discounted semi-annually on each
interest payment date at a rate equal to the Treasury Yield, based on a 360-day
year of twelve 30-day months over (ii) the aggregate unpaid principal amount of
such Equipment Note. (Indentures, Section 1.01(b))
 
     The "Treasury Yield" means, with respect to each Equipment Note to be
redeemed, (x) in the case of an Equipment Note having a maturity less than one
year after the applicable redemption date, the average yield to maturity on a
government bond equivalent basis of the applicable United States Treasury Bill
due the week of the scheduled maturity of such Equipment Note or (y) in the case
of an Equipment Note having a maturity of one year or more after the applicable
redemption date, the average yield of the most actively traded United States
Treasury Notes corresponding in maturity to the Average Life Date (as defined
below) of such Equipment Note (or, if there is no maturity corresponding to such
Remaining Weighted Average Life, an interpolation of maturities by such
independent investment banking institution), in each case under (x) and (y)
above determined by such independent investment banking institution based on the
average of the yields to stated maturity determined from the certain bid prices
on the second Business Day preceding the applicable redemption date.
(Indentures, Section 1.01(b))
 
     The "Average Life Date" for each Equipment Note to be redeemed will be the
date which follows the redemption date by a period equal to the Remaining
Weighted Average Life at the redemption date of such Equipment Note. The
"Remaining Weighted Average Life" of such Equipment Note, at the redemption date
of such Equipment Note, will be the number of days equal to the quotient
obtained by dividing (a) the sum of the products obtained by multiplying (i) the
amount of each then remaining installment of principal, including the payment
due on the maturity date of such Equipment Note, by (ii) the number of days from
and including the redemption date to but excluding the scheduled payment date of
such principal installment by (b) the then unpaid principal amount of such
Equipment Note. (Indentures, Section 1.01(b))
 
     Redemption Without Premium. The Equipment Notes issued with respect to each
Aircraft are separately subject to redemption or purchase prior to maturity,
without the consent of the Trustee, at a price equal to the Redemption Price,
but without any premium: (i) in whole at the option of the applicable Owner
Trustee or Owner Participant, at any time after the occurrence and continuation
of a Lease Event of Default under the related Lease for a period of one year or
more during which period such Equipment Notes shall not have been accelerated;
(ii) in whole upon the acceleration of such Equipment Notes; (iii) in whole upon
an Event of Loss with respect to such Aircraft if Southwest has elected not to
replace such Aircraft under the applicable Lease; or (iv) as specified above in
respect of redemptions made on or after the Premium Termination Date applicable
to the Equipment Notes. (Indentures, Sections 6.01, 6.02 and 8.02)
 
INDENTURE DEFAULTS, NOTICE AND WAIVER
 
     Indenture Defaults under each Indenture include: (a) failure to pay any
interest or principal or premium, if any, when due, continued for more than
seven Business Days or failure to pay when due any other amount for more than 10
Business Days after notice thereof to the related Owner Trustee, (b) the
occurrence of any Lease Event of Default under the related Lease (other than,
without the consent of the related Owner Trustee, the failure to make certain
indemnity and certain other payments to the related Owner Trustee or Owner
Participant), (c) the failure by the related Owner Trustee or Owner Participant
to perform or observe certain covenants, conditions or agreements to be
performed or observed by it under such Indenture or certain related documents,
continued after notice and specified cure periods, (d) any representation or
warranty made by the related Owner Trustee or Owner Participant in the Indenture
or the Participation Agreement being false or incorrect in any material respect
when made, is material at the time of discovery and, if curable, is not cured
within 30 days of notice, (e) the occurrence of certain events of bankruptcy,
reorganization or insolvency of the related Trust Estate, Owner Trustee or Owner
Participant, provided that, in the case of such Owner Participant, the same
shall not constitute an Indenture Default if the Loan Trustee receives certain
                                      S-15
<PAGE>   16
 
assurances that such Owner Participant's bankruptcy, reorganization or
insolvency will not affect the Trust Estate, or (f) the failure by the related
Owner Participant or the Owner Trustee to discharge certain liens, continued
after knowledge and specified cure periods. (Indentures, Section 8.01)
 
     There are no cross-default provisions in the Indentures and, consequently,
events resulting in an Indenture Default under any particular Indenture may not
result in an Indenture Default occurring under any other Indenture.
 
     In the event Southwest fails to make any semiannual basic rental payment
within the period of seven Business Days after the same shall become due under
any Lease, within 10 Business Days after such period the applicable Owner
Participant or Owner Trustee may furnish to the Loan Trustee the amount of such
rental payment, together with any interest thereon on account of the delayed
payment thereof, in which event the Loan Trustee and the holders of outstanding
Equipment Notes issued under such Indenture may not exercise any remedies
otherwise available under such Indenture or such Lease as the result of such
failure to make such rental payment, unless Southwest has failed to make a basic
rental payment when due on the two consecutive immediately preceding semiannual
basic rental payment dates or on any four or more previous semiannual basic
rental payment dates. The applicable Owner Participant or Owner Trustee also,
subject to certain restrictions, may cure any other default by Southwest in the
performance of its obligations under any Lease which can be cured with the
payment of money. (Indentures, Section 8.03(e)(i))
 
     Each Indenture provides that the Loan Trustee thereunder shall, after the
occurrence of any event known to it to be an Indenture Default, promptly send
written notice thereof to Southwest, the Owner Trustee and the applicable Owner
Participant, and within 90 days after the occurrence thereof, if such Indenture
Default remains uncured, mail notice thereof to the holders of outstanding
Equipment Notes issued under such Indenture, but such Loan Trustee may withhold
such notice, except in the case of a default in the payment of the principal,
interest or premium, if any, with respect to any such Equipment Notes, if it in
good faith determines that withholding such notice is in the interest of such
holders. (Indentures, Section 9.05)
 
     The holders of a majority in aggregate principal amount of the outstanding
Equipment Notes issued with respect to any Aircraft, by notice to the Loan
Trustee, may on behalf of all of the holders waive any existing event of default
or default and its consequences under the Indenture with respect to such
Aircraft, except a default in the payment of the principal of or interest on any
such Equipment Notes or a default in respect of any covenant or provision of
such Indenture that cannot be modified or amended without the consent of each
holder of Equipment Notes affected thereby. (Indentures, Section 8.05)
 
     Southwest is required to furnish annually to the Trustee a statement as to
the fulfillment of its covenants under the Basic Agreement during the preceding
year. (Basic Agreement, Section 8.04(d))
 
REMEDIES
 
     If an Indenture Default occurs under an Indenture as a result of certain
specified events of bankruptcy, insolvency or reorganization of the related
Trust Estate, Owner Trustee or Owner Participant or Southwest, then the unpaid
principal of all outstanding Equipment Notes issued under such Indenture,
together with interest accrued but unpaid thereon and all other amounts due
under such Indenture, immediately and without further act shall become due and
payable. If an Indenture Default occurs and is continuing under an Indenture,
the related Loan Trustee or the holders of at least 25% in aggregate principal
amount of the Equipment Notes outstanding under such Indenture may declare the
principal of all such Equipment Notes issued thereunder immediately due and
payable, together with all accrued but unpaid interest thereon and all other
amounts due under such Indenture. The holders of a majority in aggregate
principal amount of Equipment Notes outstanding under such Indenture may rescind
any such declaration by the related Loan Trustee or by the holders at any time
prior to the sale of the related Aircraft after such an Indenture Default if (i)
there has been deposited with the related Loan Trustee an amount sufficient to
pay all overdue principal and interest on any such Equipment Notes that have
become due otherwise than by such declaration of acceleration, and any interest
on overdue installments of interest and principal, (ii) the rescission would not
conflict with any judgment or decree, and (iii) all other Indenture Defaults
under such Indenture have been cured or waived. (Indentures, Section 8.02)
                                      S-16
<PAGE>   17
 
     Each Indenture provides that if an Indenture Default under such Indenture
has occurred and is continuing, the related Loan Trustee may exercise certain
rights or remedies available to it under such Indenture or under applicable law,
including (if the corresponding Lease is in default) one or more of the remedies
under such Indenture or such Lease with respect to the Aircraft subject to such
Lease. See "Description of the Equipment Notes -- The Leases -- Lease Events of
Default." Such remedies may be exercised by the related Loan Trustee to the
exclusion of the related Owner Trustee and, subject to the terms of such Lease,
Southwest. Any Aircraft sold in the exercise of such remedies will be free and
clear of any rights of those parties, including the rights of Southwest under
the Lease with respect to such Aircraft; provided that no exercise of any
remedies by the related Loan Trustee may affect the rights of Southwest under
any Lease unless a Lease Event of Default has occurred and is continuing under
such Lease; and provided further that such Loan Trustee may not sell any part of
the related Indenture Estate unless the related Equipment Notes have been
accelerated or have become due. (Indentures, Section 8.03; Leases, Section 15)
 
     Notwithstanding the rights and powers of the Loan Trustee described above,
the Loan Trustee may not exercise any remedy under an Indenture as a result of
an Indenture Default under such Indenture occurring solely by virtue of one or
more Lease Events of Default under the related Lease unless the Loan Trustee, as
assignee of the related Owner Trustee's rights under such Lease, has exercised
or is concurrently exercising one or more of the remedies thereunder with
respect to the Aircraft, provided that the requirement to exercise such remedies
under the related Lease shall not apply in circumstances where the Loan Trustee
is involuntarily stayed or otherwise prohibited by applicable law or court order
from exercising such remedies under such Lease after the Section 1110 Period.
The "Section 1110 Period" is the period commencing on the date of such stay or
prohibition and ending on the earlier of (x) 60 days (or such longer period (A)
as may be specified in Section 1110(a)(1) of the federal Bankruptcy Code (the
"Bankruptcy Code"), (B) equal to the period of an extension with the consent of
the Loan Trustee of the 60-day period specified therein pursuant to Section
1110(b) of the Bankruptcy Code or (C) resulting from the Loan Trustee's own
failure to give any requisite notice to any Person) and (y) the date of
repossession of the related Aircraft. The Loan Trustee must notify the related
Owner Trustee at least 10 days in advance of any foreclosure on the lien of an
Indenture. (Indentures, Section 8.03; Leases, Section 15)
 
     If the Equipment Notes issued in respect of one or more Aircraft are in
default, the Equipment Notes issued in respect of the remaining Aircraft may not
be in default, and, if not, no remedies will be exercisable under the Indentures
with respect to such remaining Aircraft.
 
     The holders of a majority in aggregate unpaid principal amount of the
Equipment Notes outstanding under any Indenture may direct the time, method and
place of conducting any proceeding for any remedy available to the related Loan
Trustee or exercising any trust or power conferred on such Loan Trustee under
such Indenture, but in such event such Loan Trustee shall be entitled to be
indemnified by the holders of such Equipment Notes before proceeding so to act
and may under certain circumstances refuse to follow such a direction.
(Indentures, Sections 8.06, 9.01 and 9.02)
 
     The right of any holder of Equipment Notes to institute action for any
remedy under the Indenture pursuant to which such Equipment Notes are issued
(except the right to enforce payment of the principal, interest and premium, if
any, with respect to its Equipment Notes when due) is subject to certain
conditions precedent, including a written request to the related Loan Trustee by
the holders of not less than 25% in aggregate principal amount of such Equipment
Notes outstanding to take action and an offer to such Loan Trustee of
satisfactory indemnification against liabilities incurred by it in so doing.
(Indentures, Sections 8.07 and 8.08)
 
     If an Indenture Default under any Indenture occurs and is continuing, any
sums held or received by the related Loan Trustee may be applied to reimburse
such Loan Trustee for any tax, expense or other loss incurred by it and to pay
any other amounts due to such Loan Trustee prior to any payments to holders of
the Equipment Notes issued under such Indenture. (Indentures, Sections 3.05 and
9.06)
 
     In the event of bankruptcy, insolvency, receivership or like proceedings
involving an Owner Participant, it is possible that, notwithstanding that the
applicable Aircraft is owned by the related Owner Trustee in trust,
                                      S-17
<PAGE>   18
 
such Aircraft and the related Lease and Equipment Notes might become part of
such proceeding. In such event, payments under such Lease or on such Equipment
Notes might be interrupted and the ability of the related Loan Trustee to
exercise its remedies under the related Indenture might be restricted, although
such Loan Trustee would retain its status as a secured creditor in respect of
the related Lease and the related Aircraft.
 
     Section 1110 of the Bankruptcy Code. Section 1110 of the Bankruptcy Code
provides that the right of lessors, conditional vendors and holders of security
interests with respect to aircraft used by U.S. air carriers holding air carrier
operating certificates issued by the Secretary of Transportation for certain
large passenger or cargo aircraft such as the Aircraft to take possession of
such aircraft in compliance with the provisions of a lease, conditional sale
contract or security agreement, as the case may be, is not affected by (a) the
automatic stay provision of the Bankruptcy Code, which provision enjoins
repossessions by creditors for the duration of the reorganization period, (b)
the provision of the Bankruptcy Code allowing the trustee in reorganization to
use property of the debtor during the reorganization period, (c) the so-called
"cramdown" provision of the Bankruptcy Code and (d) any power of the bankruptcy
court to enjoin a repossession. Section 1110 provides, however, that the right
of a lessor, conditional vendor or holder of a security interest to take
possession of an aircraft in the event of an event of default may not be
exercised for 60 days following the date of commencement of the reorganization
proceedings (unless specifically permitted by the bankruptcy court) and may not
be exercised at all if, within such 60-day period, the trustee in reorganization
agrees to perform the debtor's obligations that become due on or after such date
and cures all existing defaults (other than defaults resulting solely from the
financial condition, bankruptcy, insolvency or reorganization of the debtor).
 
     Southwest has been advised by its counsel that, with respect to each Lease,
the related Owner Trustee, as Lessor under such Lease, and the related Loan
Trustee, as assignee of such Owner Trustee's rights under such Lease pursuant to
the Indenture corresponding to such Lease, are entitled to the benefits of
Section 1110 of the Bankruptcy Code with respect to the Aircraft initially
delivered under such Lease and subjected to the related Indenture. Such opinion
does not address the possible replacement of an Aircraft after an Event of Loss
in the future, the consummation of which is conditioned upon the contemporaneous
delivery of an opinion of counsel to the effect that the related Loan Trustee's
entitlement to Section 1110 benefits will not be diminished as a result of such
replacement. See "Description of the Equipment Notes -- The Leases -- Events of
Loss."
 
     Marketability of Aircraft. The market for aircraft, whether new or used, is
and will be affected by many factors including, among other things, the supply
of similarly equipped aircraft of the same make and model, the demand for such
aircraft by airlines and the cost and availability of financing to potential
purchasers of such aircraft. Each of these factors, in turn, will be affected by
various circumstances including, among other things, current and anticipated
demand for passenger and cargo air services, the relative capacity of airlines
to provide such services, the current and projected profitability of providing
such services, the economic condition of the domestic and international airline
industries and global economic and financial developments generally. In
addition, the marketability of a particular used aircraft will be affected by
factors such as the reputation and actual performance record of the current
operator with respect to maintenance, the compliance of the aircraft with
federal noise and other environmental standards and the manufacturer's support.
Since the market for aircraft will fluctuate over time to reflect changes in
these circumstances, and because of the unique factors that would affect market
value in a forced disposition of an aircraft, it is impossible to predict the
resale value of any Aircraft to be sold upon the exercise of the Loan Trustee's
remedies under the related Indenture. Accordingly, there can be no assurance
that the net proceeds which might be realized from the sale or other disposition
of any Aircraft in the exercise of such remedies will be sufficient to satisfy
in full amounts due and payable on the related Equipment Notes.
 
MODIFICATION OF INDENTURES, LEASES AND PARTICIPATION AGREEMENTS
 
     Without the consent of holders of a majority in aggregate principal amount
of the Equipment Notes outstanding under any Indenture, the provisions of such
Indenture and the Lease and the Participation Agreement corresponding thereto
may not be amended or modified, except to the extent indicated below.
 
                                      S-18
<PAGE>   19
 
     Certain provisions of any Indenture, and of the Lease and the Participation
Agreement related thereto, may be modified by the parties thereto without the
consent of any holders of the Equipment Notes outstanding under such Indenture.
In the case of each Lease, such provisions include, among others, provisions
relating to (i) the return to the related Owner Trustee of the related Aircraft
at the end of the scheduled term of such Lease, (ii) the renewal of such Lease
and the option of Southwest at the end of the term of such Lease to purchase the
related Aircraft, and (iii) adjustments of basic rent, stipulated loss values
and certain other dollar values in connection with permitted reoptimizations.
Certain other provisions of any Lease may be modified by the parties thereto
without the consent of any holders of the Equipment Notes outstanding under the
related Indenture so long as such modification would not adversely affect the
Loan Trustee's interest in the Trust Estate, reduce Southwest's obligations in
respect of maintaining the related Aircraft or otherwise impair the value of the
related Trust Estate. Notwithstanding the foregoing, if an Indenture Default
shall have occurred and be continuing, the Indenture Trustee, subject to certain
limitations, will have all rights of the related Owner Trustee to modify, amend
or supplement the related Lease or give any consent, waiver, authorization or
approval thereunder for any purpose. In addition, the related Owner Trustee will
have the right, so long as no Indenture Default shall have occurred and be
continuing, to the exclusion of the Loan Trustee, to approve as satisfactory any
accountants, inspectors, engineers or counsel to render services for or issue
opinions to such Owner Trustee pursuant to the express provisions of the related
Lease and other documentation and to grant such consents, approvals and waivers
as may be requested thereunder. Finally, the assignment by the Owner Trustee to
the Loan Trustee of its rights under the related Lease will exclude certain
rights of such Owner Trustee and the related Owner Participant, including rights
relating to indemnification by Southwest for certain matters, insurance proceeds
payable to such Owner Trustee in its individual capacity or to such Owner
Participant under liability insurance maintained by Southwest under such Lease
or by any other Person, insurance proceeds payable to such Owner Trustee in its
individual or trust capacity or to such Owner Participant under insurance
maintained by such Owner Trustee or such Owner Participant and certain
reimbursement payments made by Southwest to such Owner Trustee or Owner
Participant. (Indentures, Granting Clause and Sections 9.13, 11.01 and 11.06)
 
     Without the consent of the holder of each Equipment Note outstanding under
any Indenture affected thereby, no amendment or modification of such Indenture
may (a) reduce the principal amount of, or premium, if any, or interest payable
on, any Equipment Notes issued under such Indenture or change the date on which
any principal or premium, if any, or interest is due and payable, (b) create any
security interest with respect to the property subject to the lien of such
Indenture ranking prior to or on a parity with the security interest created by
such Indenture, except as provided in such Indenture, or deprive any holder of
an Equipment Note issued under such Indenture of the lien of such Indenture upon
the property subject thereto, (c) reduce the percentage in principal amount of
outstanding Equipment Notes issued under such Indenture necessary to modify or
amend any provision of such Indenture or to waive compliance therewith or (d)
modify any of the provisions relating to the rights of holders in respect of
defaults or events of default in the payment of principal and interest, or
certain other specified provisions. (Indentures, Section 11.02)
 
DEFEASANCE OF THE INDENTURES AND THE EQUIPMENT NOTES IN CERTAIN CIRCUMSTANCES
 
     Each Indenture provides that such Indenture and the obligations of the
related Owner Trustee and the related Loan Trustee thereunder shall be deemed to
have been discharged in full (except for certain obligations, including the
obligation to hold money for payment in trust) on the 91st day after the date of
irrevocable deposit with the Defeasance Trustee of money or certain obligations
of the United States which will provide money in an aggregate amount sufficient
to pay when due all of the Equipment Notes issued thereunder in accordance with
the terms of such Indenture. Such discharge may occur only if, among other
things, the Internal Revenue Service has published a ruling to the effect that
holders of such Equipment Notes will not recognize income, gain or loss for
federal income tax purposes as a result of such deposit, defeasance and
discharge and will be subject to federal income tax on the same amounts and in
the same manner and at the same times as would have been the case if such
deposit, defeasance and discharge had not occurred. (Indentures, Section 10.05)
 
                                      S-19
<PAGE>   20
 
     Upon such defeasance, or upon payment in full of all Equipment Notes issued
under an Indenture or deposit with the related Loan Trustee of money sufficient
therefor no earlier than one year prior to the maturity or redemption thereof,
the holders of such Equipment Notes will have no beneficial interest in or other
rights with respect to the related Aircraft or other assets subject to the lien
of such Indenture and such lien shall terminate. (Indentures, Section 10.01)
 
ASSUMPTION OF OBLIGATIONS BY SOUTHWEST
 
     Upon the voluntary termination of a Lease in connection with the exercise
by Southwest of any of its options to purchase the Aircraft subject to such
Lease prior to the end of the term of such Lease, Southwest may assume on a full
recourse basis all of the rights and obligations of the related Owner Trustee
(other than its obligations and liabilities in its individual capacity) under
the related Indenture, including the obligations to make payments in respect of
the Equipment Notes issued thereunder. In such event, events of default
substantially similar in scope and effect to those set forth in the related
Lease and covenants substantially similar to the covenants of Southwest under
such Lease and the related Participation Agreement will be incorporated into
such Indenture, and the Equipment Notes issued under such Indenture will not be
redeemed and will continue to be secured by such Aircraft. It is a condition to
such assumption that an opinion of counsel be delivered at the time of such
assumption substantially to the effect that the Loan Trustee under such
Indenture should, immediately following such assumption, be entitled to the
benefits of Section 1110 of the Bankruptcy Code with respect to such Aircraft
(including the engines related thereto), but such opinion need not be delivered
to the extent that, by reason of a change of law or governmental interpretation
thereof, the benefits of such Section 1110 are not available to such Loan
Trustee with respect to such Aircraft or any engine related thereto immediately
prior to such assumption. (Indentures, Section 7.03)
 
     If Southwest has assumed the rights and obligations of an Owner Trustee
under the Indenture to which such Owner Trustee is a party in connection with
Southwest's exercise of any of its options to purchase the related Aircraft as
contemplated by the previous paragraph, Southwest has the further option of
paying the equity portion of the purchase price for such Aircraft in
installments. In the event that Southwest has elected to pay the equity portion
of the purchase price for an Aircraft in installments, the obligations of
Southwest to the related Owner Trustee to pay such installments will be secured
by such Aircraft, provided that the rights of such Owner Trustee to such
installments and security in the Aircraft will be subordinated to the rights of
the holders of the related Equipment Notes to substantially the same degree
(including cure and buy-out rights, rights to exercise remedies, distribution of
proceeds and payments) as existed, as between such holders and such Owner
Trustee, prior to the assumption by Southwest of the related Indenture. (Leases,
Section 18.2; Participation Agreements, Section 8(aa))
 
THE LEASES
 
     Term and Rent. Each Aircraft has been leased separately by the related
Owner Trustee to Southwest for a term commencing on the delivery date thereof
(June 3, 1996) to such Owner Trustee and expiring on a date not earlier than the
latest maturity date of the Equipment Notes issued with respect to such
Aircraft, unless previously terminated as permitted by the related Lease. The
semiannual basic rent payments by Southwest under each Lease are payable on each
January 2 and July 2 (or, if such day is not a Business Day, on the next
succeeding Business Day), and have been assigned by the related Owner Trustee
under the related Indenture to provide the funds necessary to make payments of
principal and interest due from the related Owner Trustee on the Equipment Notes
issued under the related Indenture. (Leases, Section 3; Indentures, Granting
Clause and Section 3.03). Although in certain cases the semiannual basic rent
payments under the Leases may be adjusted, under no circumstances will rent,
together with other payments obligated to be made, be less than the Scheduled
Payments on the Equipment Notes issued under the Indenture relating to such
Lease. The balance of any semiannual basic rent payment under each Lease, after
payment of the scheduled principal and interest on the Equipment Notes issued
under the Indenture relating to such Lease, will (subject to certain holdbacks
if an Indenture Default is continuing) be paid over to the related Owner
Trustee. Southwest's obligation to pay rent and to cause other payments to be
made under each Lease is a general obligation of Southwest. (Leases, Section 3;
Indentures, Article 3)
 
                                      S-20
<PAGE>   21
 
     Although in certain cases Stipulated Loss Value (as defined below),
Termination Value (as defined below) and certain other amounts payable by
Southwest upon the termination of a Lease may be adjusted, under no
circumstances will any such amount (whether or not adjusted), together with
other payments obligated to be made, be less than the aggregate unpaid principal
of, and unpaid interest and Make-Whole Premium, if any, on, the outstanding
Equipment Notes issued under the Indenture relating to such Lease on the date of
payment thereof. (Leases, Section 3.3)
 
     Possession, Sublease and Transfer. Southwest may sublease any Aircraft to
any United States certificated air carrier or to certain foreign air carriers
(such United States and foreign air carriers being "Permitted Air Carriers") so
long as the term of the sublease does not continue beyond the end of the term of
the related Lease. In addition, subject to certain limitations, Southwest may
transfer possession of any Aircraft other than by sublease, including transfers
in connection with normal interchange and pooling arrangements with Permitted
Air Carriers, "wet leases," transfers of possession in connection with the Civil
Reserve Air Fleet Program and transfers in connection with maintenance or
modifications. If an Aircraft is subleased or the possession thereof is
otherwise transferred, such Aircraft will remain subject to the related Lease
and to the lien of the related Indenture. Moreover, any such sublease or
transfer notwithstanding, Southwest will remain primarily liable for rental
payments and for the performance of the other obligations of Southwest set forth
in the related Lease as if no sublease or other transfer had occurred. (Leases,
Section 7.2) The Aircraft may be operated by Southwest or under sublease or
interchange arrangements in countries that are not parties to the Convention on
the International Recognition of Rights in Aircraft (the "Convention"), and the
extent to which the related Loan Trustee's security interest would be recognized
in any jurisdiction, whether or not such jurisdiction adheres to the Convention,
is uncertain.
 
     Generally, Southwest may install an Engine subject to a Lease on another
aircraft. Such Engine, however, will remain subject to such Lease and to the
lien of the related Indenture. (Leases, Section 7.2)
 
     Registration. Each Aircraft is, and pursuant to its related Lease will
continue to be, registered in the name of the related Owner Trustee under the
laws of the United States; provided, however, that such Aircraft will be
reregistered in Southwest's name in the event it elects to assume all of the
rights and obligations of the related Owner Trustee under the related Indenture
as described above under "Description of the Equipment Notes -- Assumption of
Obligations by Southwest." (Leases, Section 7.1.1; Indentures, Section 7.03)
 
     Liens. Each Aircraft will be maintained free of any liens, other than the
respective rights of the related Owner Participant, the related Owner Trustee,
the related Loan Trustee, the holders of the Equipment Notes with respect
thereto and Southwest arising under the related Lease, Indenture, Participation
Agreement, Refinancing Agreement or Trust Agreement, and other than, in the case
of each Aircraft, certain limited liens permitted under the Lease and Indenture
relating thereto, including liens for taxes either not yet due and payable or
being contested in good faith by appropriate proceedings so long as such
proceedings do not involve any material danger of the sale, forfeiture, loss or
loss of use of the related Aircraft or any interest therein; materialmen's,
mechanics' and other similar liens arising in the ordinary course of business
and either not yet due or not overdue for a period of more than 60 days or being
contested in good faith by appropriate proceedings so long as such proceedings
do not involve any material danger of the sale, forfeiture, loss or loss of use
of the related Aircraft or any interest therein; liens arising out of judgments
or awards against Southwest, unless not discharged or stayed pending appeal
within 45 days of entry; and liens with respect to which Southwest shall have
posted a bond or other security. (Leases, Section 6) In addition, each Aircraft
may become subject to a junior lien in favor of the related Owner Trustee if
Southwest assumes the Equipment Notes issued under the Indenture relating to
such Aircraft in connection with its exercise of any purchase option for such
Aircraft and Southwest further elects to pay the equity portion of the purchase
price in installments. See "Description of the Equipment Notes -- Assumption of
Obligations by Southwest."
 
     Insurance. Southwest will maintain or cause to be maintained "all risk"
ground and flight aircraft hull insurance against loss of or damage to each
Aircraft and "all risk" coverage on each Engine and on Parts while removed from
the Aircraft or Engines, that is of the type and form and in an amount not less
than that carried by Southwest on similar equipment owned or leased by Southwest
and in an amount not less than that usually carried by similarly situated United
States commercial air carriers generally, provided that such insurance
 
                                      S-21
<PAGE>   22
 
shall at all times be in an amount not less than the stipulated loss value of
each Aircraft (which shall be an amount at least equal to the aggregate unpaid
principal of, and unpaid interest on, the outstanding Equipment Notes related to
such Aircraft on the date of payment thereof (the "Stipulated Loss Value")). All
policies covering loss of or damage to each Aircraft shall be made payable to
the related Loan Trustee for any loss in excess of $4,000,000, up to the
Stipulated Loss Value.
 
     In addition, Southwest will maintain or cause to be maintained public
liability and property damage insurance (exclusive of manufacturer's product
liability insurance) with respect to each Aircraft (i) in amounts that are not
less than the public liability and property damage insurance applicable to
similar aircraft and engines that comprise Southwest's fleet on which Southwest
carries insurance; and (ii) of the type and form carried by similarly situated
United States commercial air carriers generally, and not less than $350,000,000
per occurrence combined single limit (or such greater amount as Lessee may carry
from time to time on other 737-300 series aircraft in its fleet). The related
Loan Trustee, the Trustee, the related Owner Trustee, the related Owner
Participant and Southwest will be named as insured parties as their respective
interests may appear under all liability insurance policies required with
respect to each of the Aircraft.
 
     The insurance policies maintained under the Lease with respect to each
Aircraft will provide that, in respect of the respective interests of the
related Loan Trustee, the Trustee, the related Owner Trustee and the related
Owner Participant, the insurance shall not be invalidated by any action or
inaction of Southwest regardless of any breach or violation by Southwest of any
representation, warranty, declaration or condition contained in such policies.
Neither Southwest nor any of its sub-lessees may operate or locate any Aircraft
(i) in any area excluded from coverage by any insurance required by the Lease
related thereto, unless requisitioned for use by the government (including any
instrumentality or agency thereof) of the United States and the United States
provides indemnification in lieu of such insurance coverage, (ii) in any war
zone or recognized or threatened area of hostilities, unless such Aircraft is
covered by war risk insurance, or (iii) in any country with which the United
States does not maintain diplomatic relations or in which there is open warfare,
whether or not declared. (Leases, Sections 7.1 and 11)
 
     Southwest may, so long as no Lease Event of Default has occurred and is
continuing, self-insure a portion of these risks by means of deductible or
premium adjustment provisions in insurance policies consistent with similar
self-insurance on comparable aircraft operated by Southwest, provided that if
Southwest's unsecured senior long-term debt securities are not rated "Investment
Grade" (as defined below), such self-insurance shall in no case be in amounts
greater than 4% of Southwest's tangible net worth and provided further that in
the case of public liability insurance, such self-insurance shall in no event
exceed $50,000,000. The term "Investment Grade" means, for these purposes, a
rating of "Baa3" or higher from Moody's Investors Service or a rating from any
other nationally recognized bond rating service equivalent to or better than
such a rating. Southwest is also permitted standard deductibles in respect of
its hull insurance coverage which are from time to time in effect in the
aviation industry generally and which are customarily maintained by similarly
situated U.S. commercial air carriers generally, but in any event, not in excess
of the amount generally maintained by Southwest on its fleet of Boeing 737-300
aircraft. (Leases, Sections 11.2.4 and 11.8)
 
     Termination. Subject to certain conditions, Southwest may terminate each
Lease on the first day of any month occurring on or after the seventh
anniversary of the date of the delivery (June 3, 1996) of the Aircraft under the
applicable Lease if it shall have determined that the Aircraft covered thereby
is surplus to its requirements or economically obsolete. Southwest will be
required to give to the related Owner Trustee and the related Loan Trustee
notice of its intention to terminate such Lease at least three months prior to
the proposed date of termination. Southwest may revoke such notice of
termination if not less than 30 days prior to the proposed termination date the
related Owner Trustee shall not have received a bid to purchase such Aircraft
for at least the termination value thereof, provided that the related Owner
Trustee has not elected to retain such Aircraft as provided below. In connection
with a termination, the related Aircraft shall be sold (unless the related Owner
Trustee elects to retain such Aircraft) as provided below and Southwest will act
as non-exclusive agent for such Owner Trustee in obtaining bids for such
Aircraft. The related Owner Trustee may also seek bids for such Aircraft and bid
for the Aircraft itself. The related Owner Trustee shall sell such Aircraft to
the highest cash bidder for such Aircraft on the termination date specified in
Southwest's notice of termination. The proceeds of such sale shall be paid to
the related Owner Trustee. If the net proceeds received
                                      S-22
<PAGE>   23
 
from such sale are less than the termination value for such Aircraft (which
shall be an amount at least equal to the aggregate unpaid principal of, and
unpaid interest on, the outstanding Equipment Notes related to such Aircraft on
the date of such sale (the "Termination Value")), Southwest shall pay the
related Owner Trustee an amount equal to the difference between such proceeds
and such Termination Value, together with certain other amounts. Southwest will
also be obligated to pay, as supplemental rent, the premium, if any, on the
related Equipment Notes, payable in connection with such termination. All funds
to be paid to or deposited with the related Owner Trustee as described in this
paragraph shall, so long as the related Indenture shall not have been
discharged, be deposited directly with the related Loan Trustee. Amounts
received from such sale in excess of the outstanding principal amount of the
Equipment Notes issued under such Indenture, premium, if any, thereon and the
then accrued and unpaid interest thereon will be distributed by the related Loan
Trustee to the related Owner Trustee for the benefit of the related Owner
Participant. The lien of such Indenture shall terminate after the principal of
and premium, if any, and accrued interest on the related Equipment Notes have
been received by the related Loan Trustee and, if all amounts due such Owner
Participant have also been paid, the related Lease shall terminate and the
obligation of Southwest thereafter to make rental payments with respect thereto
shall cease. In the event any Aircraft is not sold by its proposed termination
date, the Lease relating thereto, including all of Southwest's obligations
thereunder, shall continue in effect. (Leases, Section 9; Indentures, Sections
3.02, 6.01(b) and 13.01)
 
     The related Owner Trustee shall have the option to retain an Aircraft with
respect to which Southwest has given a notice of termination. In such event, the
related Owner Trustee shall pay, or cause to be paid, to the related Loan
Trustee funds in an amount equal to the aggregate outstanding principal of and
accrued interest on the Equipment Notes with respect to such Aircraft, and
Southwest shall pay to such Loan Trustee all other sums due and payable to the
holders thereof on the termination date (including premium, if any). (Leases,
Section 9)
 
     Renewal and Purchase Options. At the end of the term of a Lease after final
maturity of the Equipment Notes issued with respect thereto, in the absence of
certain defaults or any Lease Event of Default thereunder, Southwest will have
certain options to renew such Lease for additional limited periods. In addition,
Southwest will have the right at the end of the term of such Lease to purchase
the Aircraft subject thereto for an amount to be calculated in accordance with
the terms of such Lease. (Leases, Section 18)
 
     Southwest will also have the option, upon certain specified notice periods
and in the absence of certain defaults or any Lease Event of Default, to
purchase the Aircraft on January 2, 2015. In the event Southwest exercises such
an option, the purchase price therefor shall be calculated in accordance with
the provisions of such Lease, but in any event shall be sufficient to pay the
redemption price of the related Equipment Notes and, upon receipt by the related
Loan Trustee of such redemption price, Southwest shall acquire such Aircraft
free of the lien of such Indenture, unless Southwest chooses to assume on a full
recourse basis all of the related Owner Trustee's obligations in respect of such
Equipment Notes and acquires such Aircraft subject to the lien of the related
Indenture. See "Description of the Equipment Notes -- Assumption of Obligations
by Southwest" in this Prospectus Supplement. (Leases, Section 18.2; Indentures,
Sections 7.03 and 10.01)
 
     Events of Loss. If an Event of Loss (as defined below) occurs with respect
to an Aircraft, Southwest shall pay to the related Owner Trustee the Stipulated
Loss Value of such Aircraft, or shall replace such Aircraft. In the event
Southwest elects to replace such Aircraft, it must do so on or before the
Business Day preceding the 180th day following the Event of Loss, with a Boeing
737-300 (or an improved model) aircraft having a value, remaining useful life
and utility at least equal to, and in at least as good operating condition as,
the Aircraft subject to the Event of Loss immediately prior to the occurrence of
such Event of Loss, assuming such Aircraft was in the condition and repair
required by the related Lease. If Southwest pays the Stipulated Loss Value of an
Aircraft subject to an Event of Loss (which in all circumstances will be at
least sufficient to pay in full as of the date of payment thereof the aggregate
unpaid principal of the outstanding Equipment Notes issued with respect to such
Aircraft, together with all unpaid interest thereon accrued and to accrue to the
date on which such amount is paid), the lien of the related Indenture shall
terminate, the Lease relating to such Aircraft shall terminate, title to such
Aircraft shall be transferred to Southwest and the obligation of Southwest
thereafter to make rental payments with respect thereto shall cease. The
Stipulated Loss Value and other payments made by Southwest shall be deposited
with the related Loan Trustee. Amounts in excess of
                                      S-23
<PAGE>   24
 
the outstanding principal amount of the Equipment Notes issued with respect to
such Aircraft and the then accrued and unpaid interest thereon will be
distributed by the related Loan Trustee to the related Owner Trustee. (Leases,
Section 10.1; Indentures, Sections 3.02, 6.01(a) and 10.01)
 
     If an Event of Loss occurs with respect to an Engine alone, within 60 days
after such Event of Loss, Southwest shall replace such Engine with another
engine of the same model or an improved model of the same or another
manufacturer and suitable for installation and use on an Aircraft and compatible
for use on such Aircraft with the other Engine or engine installed thereon, and
having a value, remaining useful life and utility at least equal to, and in as
good operating condition as, the Engine subject to the Event of Loss, assuming
such Engine was in the condition and repair required by the related Lease
immediately prior to the occurrence of such Event of Loss. (Leases, Section
10.2)
 
     An Event of Loss with respect to an Aircraft or any Engine means any of the
following events: (i) disappearance or theft of such property or the loss of the
use thereof for any reason not covered by another provision, including
hijacking, for a period of three consecutive months or for a period continuing
beyond the Lease term, whichever first occurs or the destruction, damage beyond
economic repair or rendition of such property permanently unfit for normal use
for any reason whatsoever; (ii) any damage to such property that results in an
insurance settlement with respect to such property on the basis of total loss or
a constructive or compromised total loss; (iii) the confiscation, condemnation
or requisition for use of such property by any government for a period in excess
of six consecutive months or for a period continuing beyond the Lease term,
whichever first occurs; (iv) as a result of any rule, regulation, order or other
action by the Federal Aviation Administration, the Department of Transportation
or other governmental body of the United States or other governmental body
having jurisdiction, the use of such property in the normal course of interstate
air transportation of persons shall have been prohibited for specified periods;
or (v) the confiscation, condemnation or requisition of title to such property
by any government. In addition, an Event of Loss with respect to any Engine
shall occur upon a divestiture of title to such Engine. (Leases, Section 1)
 
     Lease Events of Default. Events of default (each, a "Lease Event of
Default") under each Lease include, among other things: (a) failure by Southwest
to make any payment of basic rent and certain supplemental rent within seven
Business Days after such payment shall have become due or of other supplemental
rent (with certain exceptions) within 10 Business Days after written notice of
such failure; (b) failure by Southwest to maintain insurance on or with respect
to the related Aircraft in accordance with the provisions of such Lease,
provided that such failure shall not constitute a Lease Event of Default for a
period of not more than 30 days if such Aircraft is not operated and appropriate
ground insurance is maintained on such Aircraft; (c) failure by Southwest to
perform or observe any other covenant, condition or agreement to be performed or
observed by it under such Lease or certain related documents, continued after
notice and specified cure periods; (d) any representation or warranty made by
Southwest in such Lease or certain related documents being incorrect in any
material respect at the time made and such incorrectness shall continue to be
material and unremedied after notice and specified cure periods; and (e) the
occurrence of certain events of bankruptcy, reorganization or insolvency of
Southwest. There are no cross-default provisions in the Leases and,
consequently, events resulting in a Lease Event of Default under any particular
Lease may not result in a Lease Event of Default occurring under any other
Lease. (Leases, Section 14)
 
     If a Lease Event of Default under a Lease has occurred and is continuing,
the related Loan Trustee, as assignee of the related Owner Trustee's rights
under such Lease, may exercise one or more of the remedies provided in such
Lease with respect to the Aircraft subject thereto. These remedies include the
right to repossess and use or operate such Aircraft, to sell or re-lease such
Aircraft free and clear of Southwest's rights and to terminate such Lease, and
the related Loan Trustee, as assignee, is entitled to retain (subject to
application thereof in accordance with the related Indenture) the proceeds
resulting from the exercise of such remedies and to require Southwest to pay as
liquidated damages any unpaid rent plus an amount equal to the excess of the
Stipulated Loss Value of such Aircraft over, at the related Loan Trustee's
option, any of (i) the discounted fair market rental value thereof for the
remainder of the term for such Aircraft, (ii) the fair market sales value
thereof or (iii) if such Aircraft or any Engine has been sold, the net sales
proceeds. (Leases, Section 15)
 
                                      S-24
<PAGE>   25
 
THE PARTICIPATION AGREEMENTS
 
     Southwest is required to indemnify the respective Loan Trustees, the
respective Owner Participants, the respective Owner Trustees and the Trustee for
certain taxes, losses, claims and other matters. Pursuant to certain tax
indemnity agreements, Southwest is required under certain circumstances to
indemnify each Owner Participant against the loss of depreciation deductions and
certain other benefits allowable for certain income tax purposes with respect to
the related Aircraft. Each Owner Participant is required to make restitution to
the Trust Estate in which such Owner Participant has an interest for certain
losses that may be suffered as a result of the failure of such Owner Participant
to discharge certain liens or claims on or against the assets subject to the
lien of the related Indenture. Subject to certain restrictions, each Owner
Participant may transfer its interest in the related Aircraft.
 
     Southwest is prohibited from consolidating with or merging into any other
corporation or transferring all or substantially all of its assets to any other
corporation unless: (i) the surviving, successor or transferee corporation shall
(a) be a corporation organized in the United States, (b) be a "citizen of the
United States" as defined in the Aviation Act (a "U.S. Citizen"), (c) be a
United States certificated air carrier, such that the Owner Trustee will have
the benefit of Section 1110 of the Bankruptcy Code to the extent the Owner
Trustee had such benefit immediately prior to such transaction, and (d) assume
all of the obligations of Southwest contained in the Participation Agreements
and the Leases; (ii) immediately after giving effect to such transaction, no
Lease Event of Default has occurred and is continuing; and (iii) Southwest has
delivered a certificate and an opinion of counsel indicating that such
transaction complies with such conditions. (Participation Agreements, Section
11(f))
 
REGISTRATION OF THE AIRCRAFT
 
     Each of the Aircraft has been registered in the United States in the name
of the related Owner Trustee. Each of the Owner Trustees in its individual
capacity, each of the Loan Trustees in its individual capacity and Southwest has
represented and warranted that it is a U.S. Citizen. Each Owner Trustee has
agreed that if one of its responsible officers has actual knowledge of facts
that it, in its individual capacity, ceases to be a U.S. Citizen, it will
promptly resign as Owner Trustee effective upon the appointment of a successor
Owner Trustee that is a U.S. Citizen. Each Owner Participant has represented and
warranted that it is a U.S. Citizen. If an Owner Participant ceases to be a U.S.
Citizen at a time when such citizenship is necessary for registration of the
Aircraft in which it has an interest in the United States, then such Owner
Participant is obligated to either (a) take such action as may be required to
maintain the United States registration of such Aircraft and the recordation of
the related Indenture and Lease with the FAA or (b) transfer, in accordance with
the related documents, all of its interest in such Aircraft to a U.S. Citizen.
(Participation Agreements, Sections 7(a), 8(b) and 8(k); Trust Agreements,
Section 9.01)
 
                        FEDERAL INCOME TAX CONSEQUENCES
 
     Prospective investors should consult the section entitled "Federal Income
Tax Consequences" in the accompanying Prospectus for a discussion of the
anticipated material federal income tax consequences of the purchase, ownership
and disposition of Certificates.
 
                              ERISA CONSIDERATIONS
 
     The Certificates may be purchased by an employee benefit plan (a "Plan")
that is subject to the Employee Retirement Income Security Act of 1974, as
amended ("ERISA"). A fiduciary of such a Plan must determine that the purchase
of a Certificate is consistent with its fiduciary duties under ERISA and does
not result in a non-exempt prohibited transaction as defined in Section 406 of
ERISA or Section 4975 of the Code.
 
     The United States Department of Labor has granted to each of Salomon
Brothers Inc, Chase Securities Inc., Lehman Brothers Inc. and NationsBanc
Montgomery Securities LLC an administrative exemption (Prohibited Transaction
Exemption 89-89, Exemption Application No. D-6446, 54 Fed. Reg. 42,589 (1989),
                                      S-25
<PAGE>   26
 
as amended at 55 Fed. Reg. 48939 (1990), Prohibited Transaction Exemption 90-31,
Exemption Application No. D-07939, 55 Fed. Reg. 23,144 (1990), Prohibited
Transaction Exemption 91-14, Exemption Application No. D-7958, 56 Fed. Reg. 7413
(1991) and Prohibited Transaction Exemption 93-31, Exemption Application No.
D-9105, 58 Fed. Reg. 28,620 (1993), all as amended by Prohibited Transaction
Exemption 97-34, Exemption Applications Nos. D-10245 and 10246, 62 Fed. Reg.
39,021 (1997)) (the "Exemptions") from certain of the prohibited transaction
rules of ERISA and the Code with respect to the purchase, both upon their
initial issuance and in the secondary market, the holding and the subsequent
resale by an employee benefit plan of certificates in certain pass through
trusts, the assets of which consist of secured credit instruments that bear
interest, including qualified equipment notes secured by leases. A number of
conditions must be satisfied in order for the Exemptions to apply, including the
requirement that the certificates have, at the time of their purchase by an
employee benefit plan, a specified credit rating. Under the Exemptions, an
equipment note secured by a lease will be considered qualified only if it is a
note (a) which is secured by equipment which is leased, (b) which is secured by
the obligation of the lessee to pay rent under the equipment lease and (c) with
respect to which the trust's security interest is at least as protective of the
rights of the trust as the trust would have if the equipment note were secured
only by the equipment and not by the lease. The Exemptions do not in certain
circumstances apply to the acquisition, holding or disposition of Certificates
by plans sponsored by the Company, the Underwriters, the Trustee, the Owner
Trustees, the Owner Participants or any of their affiliates. In addition, there
are various other terms and conditions to the applicability of the Exemptions.
 
     Each fiduciary of a Plan should independently determine if its purchase of
a Certificate will require an exemption and, if so, whether the Exemptions apply
to the purchase, or whether any other prohibited transaction exemption is
available. In order to facilitate compliance with the Exemptions and other
potentially available exemptions, each Plan purchasing any Certificates must be
an "accredited investor" as defined in Rule 501(a)(1) of Regulation D under the
Securities Act of 1933, as amended.
 
     Employee benefit plans which are governmental plans (as defined in Section
3(32) of ERISA) and certain church plans (as defined in Section 3(33) of ERISA)
are not subject to the fiduciary responsibility provisions of ERISA or Section
4975 of the Code. However, such a governmental or church plan may be subject to
a federal, state or local law or regulation, which is, to a material extent,
similar to the provisions of ERISA or Section 4975 of the Code. A fiduciary of a
governmental or church plan should make its own determination as to the need for
and the availability of any exemptive relief under any such federal, state or
local law or regulation.
 
                                  UNDERWRITING
 
     Subject to the terms and conditions set forth in the underwriting agreement
with Southwest (the "Underwriting Agreement"), the underwriters named below
(collectively, the "Underwriters") have severally agreed to purchase from the
Trustee, the respective aggregate principal amount of the Certificates as set
forth opposite its name below:
 
<TABLE>
<CAPTION>
                                                                    PRINCIPAL
                                                                    AMOUNT OF
                        UNDERWRITER                                CERTIFICATES
                        -----------                               --------------
<S>                                                               <C>
Salomon Brothers Inc........................................      $23,882,858.75
Chase Securities Inc........................................       23,882,858.75
Lehman Brothers Inc.........................................       23,882,858.75
NationsBanc Montgomery Securities LLC.......................       23,882,858.75
                                                                  --------------
          Total.............................................      $95,531,435.00
                                                                  ==============
</TABLE>
 
     The Underwriting Agreement provides that the obligations of the
Underwriters to pay for and accept delivery of the Certificates are subject to
the approval of certain legal matters by their counsel and to certain other
conditions. The Underwriters are obligated to take and pay for all of the
Certificates to be purchased by them if any are taken.
 
                                      S-26
<PAGE>   27
 
     The Underwriters initially propose to offer all or part of the Certificates
directly to the public at the public offering price set forth on the cover page
of this Prospectus Supplement and may offer a portion of the Certificates to
dealers at a price which represents a concession not in excess of .40% of the
principal amount of the Certificates. The Underwriters may allow, and such
dealers may reallow, a concession not in excess of .25% of the principal amount
of the Certificates for certain other dealers. After the initial public
offering, the public offering prices and such concessions may from time to time
be varied by the Underwriters.
 
     Southwest has agreed to indemnify the Underwriters against certain
liabilities, including liabilities under the Securities Act of 1933, as amended.
 
     Southwest does not intend to apply for listing of the Certificates on a
national securities exchange, but has been advised by the Underwriters that they
presently intend to make a market in the Certificates, as permitted by
applicable laws and regulations. No Underwriter is obligated, however, to make a
market in the Certificates and any such market-making may be discontinued at any
time at the sole discretion of such Underwriter. Accordingly, no assurance can
be given as to the liquidity of, or trading markets for, the Certificates.
 
     The Underwriters and certain of their respective affiliates perform
investment banking, commercial banking and other financial services for
Southwest in the ordinary course of business.
 
     In connection with this offering and in compliance with applicable law, the
Underwriters may overallot (i.e., sell more Certificates than the total amount
shown on the list of Underwriters and participations which appears above) and
may effect transactions which stabilize, maintain or otherwise affect the market
price of the Certificates at levels above those which might otherwise prevail in
the open market. Such transactions may include placing bids for the Certificates
or effecting purchases of the Certificates for the purpose of pegging, fixing or
maintaining the price of the Certificates or for the purpose of reducing a
syndicate short position created in connection with the offering. In addition,
the contractual arrangements among the Underwriters include a provision whereby,
if Salomon Brothers Inc purchases Certificates in the open market for the
account of the underwriting syndicate and the securities purchased can be traced
to a particular Underwriter or member of the selling group, the underwriting
syndicate may require the Underwriter or selling group member in question to
purchase the Certificates in question at the cost price to the syndicate or may
recover from (or decline to pay to) the Underwriter or selling group member in
question the selling concession applicable to the securities in question. The
Underwriters are not required to engage in any of these activities and any such
activities, if commenced, may be discontinued at any time.
 
     It is expected that delivery of the Certificates will be made against
payment therefor on or about the date specified in the last paragraph of the
cover page of this Prospectus Supplement, which will be the fifth business day
following the date of pricing of the Certificates (such settlement cycle being
herein referred to as "T+5"). Under Rule 15c6-1 under the Exchange Act, trades
in the secondary market generally are required to settle in three business days,
unless the parties to any such trade expressly agree otherwise. Accordingly,
purchasers who wish to trade Certificates on the date of pricing or the next
succeeding business day will be required, by virtue of the fact that the
Certificates initially will settle in T+5, to specify an alternate settlement
cycle at the time of any such trade to prevent a failed settlement. Purchasers
of Certificates who wish to trade Certificates on the date of pricing or the
next succeeding business day should consult their own advisor.
 
                                 LEGAL OPINIONS
 
     The validity of the Certificates offered hereby will be passed upon for
Southwest by Deborah Ackerman, Associate General Counsel for Southwest, who
beneficially owns approximately 37,515 shares of common stock of the Company,
and for the Underwriters by Mayer, Brown & Platt, New York, New York. The
statements of law and legal conclusions set forth under the caption "Federal
Income Tax Consequences" in both this Prospectus Supplement and the Prospectus
are based on the opinion of Vinson & Elkins L.L.P., Dallas, Texas. Members of
the firm of Vinson & Elkins L.L.P. having responsibility for the Company's legal
matters beneficially own approximately 8,000 shares of common stock of the
Company.
 
                                      S-27
<PAGE>   28
 
             ======================================================
 
     NO DEALER, SALESPERSON OR OTHER PERSON HAS BEEN AUTHORIZED TO GIVE ANY
INFORMATION OR TO MAKE ANY REPRESENTATIONS OTHER THAN THOSE CONTAINED OR
INCORPORATED BY REFERENCE IN THIS PROSPECTUS SUPPLEMENT OR THE PROSPECTUS IN
CONNECTION WITH THE OFFERING MADE BY THIS PROSPECTUS SUPPLEMENT AND THE
PROSPECTUS AND, IF GIVEN OR MADE, SUCH INFORMATION OR REPRESENTATIONS MUST NOT
BE RELIED UPON AS HAVING BEEN AUTHORIZED BY SOUTHWEST OR BY THE UNDERWRITERS.
THIS PROSPECTUS SUPPLEMENT AND THE PROSPECTUS DO NOT CONSTITUTE AN OFFER TO
SELL, OR THE SOLICITATION OF AN OFFER TO BUY, CERTIFICATES IN ANY JURISDICTION
WHERE, OR TO ANY PERSON TO WHOM, IT IS UNLAWFUL TO MAKE SUCH OFFER OR
SOLICITATION. NEITHER THE DELIVERY OF THIS PROSPECTUS SUPPLEMENT AND THE
PROSPECTUS NOR ANY SALE MADE HEREUNDER OR THEREUNDER SHALL, UNDER ANY
CIRCUMSTANCES, CREATE ANY IMPLICATION THAT THERE HAS NOT BEEN A CHANGE IN THE
FACTS SET FORTH IN THE PROSPECTUS SUPPLEMENT OR THE PROSPECTUS OR IN THE AFFAIRS
OF SOUTHWEST SINCE THE DATE HEREOF.
 
                               ------------------
 
                               TABLE OF CONTENTS
 
<TABLE>
<CAPTION>
                                              PAGE
                                              ----
<S>                                           <C>
              PROSPECTUS SUPPLEMENT
Prospectus Supplement Summary...............   S-3
The Company.................................   S-7
Ratios of Earnings to Fixed Charges.........   S-7
Selected Consolidated Financial and
  Operating Data............................   S-8
Use of Proceeds.............................   S-9
Diagram of Payments.........................  S-10
Description of the Certificates.............  S-11
Description of the Equipment Notes..........  S-13
Federal Income Tax Consequences.............  S-25
ERISA Considerations........................  S-25
Underwriting................................  S-26
Legal Opinions..............................  S-27
                    PROSPECTUS
Available Information.......................     2
Reports to Certificateholders by the
  Trustee...................................     2
Documents Incorporated by Reference.........     2
Glossary....................................     2
The Company.................................     3
Ratios of Earnings to Fixed Charges.........     3
Formation of the Trusts.....................     3
Use of Proceeds.............................     3
Description of the Certificates.............     4
Description of the Equipment Notes..........    13
Federal Income Tax Consequences.............    16
Certain Delaware Taxes......................    19
ERISA Considerations........................    19
Plan of Distribution........................    20
Legal Opinions..............................    21
Experts.....................................    21
Glossary of Certain Terms...................   A-1
</TABLE>
 
             ======================================================
             ======================================================
                                  $95,531,435

                                      LOGO
                           PASS THROUGH CERTIFICATES,
                                 SERIES 1998-A
                                  ------------
 
                             PROSPECTUS SUPPLEMENT
 
                                  MAY 21, 1998
 
                                  ------------
 
                              SALOMON SMITH BARNEY
 
                             CHASE SECURITIES INC.
 
                                LEHMAN BROTHERS
 
                             NATIONSBANC MONTGOMERY
                                 SECURITIES LLC
             ======================================================


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