UNOCAL CORP
11-K, 1999-06-30
CRUDE PETROLEUM & NATURAL GAS
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                                  UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D. C. 20549


                                    FORM 11-K


                 Annual Report Pursuant to Section 15(d) of the
                         Securities Exchange Act of 1934



(Mark One)

[X]        Annual report pursuant to Section 15(d) of the Securities Exchange
           Act of 1934
           For the fiscal year ended December 31, 1998


                                       Or


[  ]       Transition report pursuant to Section 15(d) of the Securities
           Exchange Act of 1934
           For the transition period from              to
                                          ------------    --------------

           Commission file number   1-8483


A. Full title of the plan and the address of the plan, if different from that of
the issuer named below:


                               UNOCAL SAVINGS PLAN



B. Name of issuer of the securities held pursuant to the Plan and the address of
its principal executive office:

                              Unocal Corporation,
           2141 Rosecrans Avenue, Suite 4000, El Segundo, California 90245




<PAGE>


            INDEX TO FINANCIAL STATEMENTS OF THE UNOCAL SAVINGS PLAN





        The  following  financial  statements  reflect  the status of the Unocal
Savings  Plan  as of  December  31,  1998  and  1997,  and  the  results  of its
transactions for each of the years then ended.

                                                                     Page Number



Report of Independent Accountants                                              2

Financial Statements:

     Statements of Net Assets Available for Benefits
     with Fund Information                                                   3-4

     Statements of Changes in Net Assets Available for Benefits
     with Fund Information                                                   5-6

     Notes to Financial Statements                                          7-11

Supplemental Schedules*:

     Item 27(a) - Schedule of Assets Held for Investment Purposes             13

     Item 27(d) - Schedule of Reportable Transactions                         14

Exhibit Index                                                                 15




* Supplemental  schedules  required by the Employee  Retirement  Income Security
Act of 1974 that are omitted are not applicable to the Unocal Savings Plan.





<PAGE>
                        REPORT OF INDEPENDENT ACCOUNTANTS






The Unocal Savings Plan/ESOP Committee:





         In our opinion, the accompanying statements of net assets available for
benefits  and the  related  statements  of changes in net assets  available  for
benefits present fairly, in all material respects,  the net assets available for
benefits of the Unocal  Savings Plan (the "Plan") at December 31, 1998 and 1997,
and the  changes  in net  assets  available  for  benefits  for the years  ended
December 31, 1998 and 1997 in  conformity  with  generally  accepted  accounting
principles.  These  financial  statements are the  responsibility  of the Plan's
management;  our  responsibility  is to express  an  opinion on these  financial
statements  based on our audits.  We conducted our audits of these statements in
accordance with generally accepted auditing standards which require that we plan
and perform the audit to obtain reasonable assurance about whether the financial
statements are free of material misstatement.  An audit includes examining, on a
test basis,  evidence  supporting  the amounts and  disclosures in the financial
statements,  assessing the accounting  principles used and significant estimates
made by management, and evaluating the overall financial statement presentation.
We believe that our audits provide a reasonable basis for the opinion  expressed
above.



Our audits  were  conducted  for the  purpose of forming an opinion on the basic
financial statements taken as a whole. The supplemental schedules of assets held
for  investment  purposes and  reportable  transactions  are  presented  for the
purpose  of  additional  analysis  and are  not a  required  part  of the  basic
financial   statements  but  are  supplementary   information  required  by  the
Department of Labor's Rules and Regulations  for Reporting and Disclosure  under
the  Employee  Retirement  Income  Security  Act  of  1974.  These  supplemental
schedules are the  responsibility  of the Plan's  management. The Fund
Information in the statement of net assets available for benefits and the
statement of changes in net assets available for  benefits is presented for
purposes of additional analysis rather than to present the net assets available
for plan benefits and changes in net assets available for plan benefits of each
fund.  The  supplemental schedules have been subjected to the auditing
procedures  applied in the audits of the basic financial  statements and, in our
opinion, are fairly stated in all material  respects  in  relation to the basic
financial  statements  taken as a whole.











PricewaterhouseCoopers LLP
Los Angeles, California
June 18, 1999

                                       2

<PAGE>
<TABLE>
<CAPTION>
                                                             Unocal Savings Plan
                                    Statement of Net Assets Available for Benefits with Fund Information
                                                              December 31, 1998

                                            Non Participant                        Participant
                                              Directed                              Directed
                                             ------------   ---------------------------------------------------------
                                                Unocal                                         Low
                                                Common        S&P 500      George Putnam    Volatility       Money
                                                 Stock       Index Fund   Fund of Boston      Fund        Market Fund
                                             ------------   ------------   ------------   ------------   ------------
Assets
  Investments at fair value (Note 2)
<S>                                          <C>            <C>            <C>            <C>            <C>
       Unocal Common Stock ...............   $159,766,160   $       --     $       --     $       --     $       --
       Shares of registered
        investment companies:
       S&P 500 Index Fund ................           --      100,025,611           --             --             --
       George Putnam Fund of Boston ......           --             --       52,411,607           --             --
       Low Volatility Fund ...............           --             --             --       10,708,881           --
       Money Market Fund .................           --             --             --             --       25,469,955
       New Opportunities Fund ............           --             --             --             --             --
       Voyager Fund ......................           --             --             --             --             --
       Participant notes receivable(loans)           --             --             --             --             --
                                             ------------   ------------   ------------   ------------   ------------

            Total investments.............    159,766,160    100,025,611     52,411,607     10,708,881     25,469,955

Cash .....................................           --             --             --             --             --
                                             ------------   ------------   ------------   ------------   ------------

            Total Assets .................    159,766,160    100,025,611     52,411,607     10,708,881     25,469,955

Liabilities
     Amounts due to Plan Sponsor..........        516,250           --             --             --             --
                                             ------------   ------------   ------------   ------------   ------------

            Total Liabilities ............        516,250           --             --             --             --

Net assets available for benefits.........   $159,249,910   $100,025,611   $ 52,411,607   $ 10,708,881   $ 25,469,955
                                             ============   ============   ============   ============   ============
</TABLE>

<TABLE>
<CAPTION>
                                                                Participant Directed
                                             ---------------------------------------------------------
                                                 New                          Unocal
                                             Opportunities     Voyager        Common
                                                 Fund           Fund          Stock           Other          Total
                                             ------------   ------------   ------------   ------------   ------------
Assets
  Investments at fair value (Note 2)
<S> .......................................   <C>            <C>           <C>            <C>            <C>
       Unocal Common Stock ................   $       --     $       --    $ 98,872,048   $       --     $258,638,208
      Shares of registered
        investment companies:
       S&P 500 Index Fund .................           --             --             --             --     100,025,611
       George Putnam Fund of Boston .......           --             --             --             --      52,411,607
       Low Volatility Fund ................           --             --             --             --      10,708,881
       Money Market Fund ..................           --             --             --             --      25,469,955
       New Opportunities Fund .............    37,952,648            --             --             --      37,952,648
       Voyager Fund .......................           --      23,697,333            --             --      23,697,333
       Participant notes receivable (loans)           --             --             --      13,186,560     13,186,560

                                             ------------   ------------   ------------   ------------   ------------
            Total investments .............    37,952,648     23,697,333     98,872,048     13,186,560    522,090,803

Cash ......................................           --             --          37,427           --           37,427

                                             ------------   ------------   ------------   ------------   ------------
            Total Assets ..................    37,952,648     23,697,333     98,909,475     13,186,560    522,128,230

Liabilities
     Amounts due to Plan Sponsor ..........           --             --             --             --         516,250
                                             ------------   ------------   ------------   ------------   ------------

            Total Liabilities .............           --             --             --             --         516,250

Net assets available for benefits .........  $ 37,952,648   $ 23,697,333   $ 98,909,475   $ 13,186,560   $521,611,980
                                             ============   ============   ============   ============   ============
<FN>
   The accompanying notes are an integral part of these financial statements.
</FN>
                                       3
</TABLE>


<PAGE>
<TABLE>
<CAPTION>
                                                                Unocal Savings Plan
                                    Statement of Net Assets Available for Benefits with Fund Information
                                                              December 31, 1997



                                            Non Participant                         Participant
                                              Directed                               Directed
                                             ------------   ---------------------------------------------------------
                                                Unocal                                        Low
                                                Common        S&P 500     George Putnam    Volatility       Money
                                                 Stock       Index Fund   Fund of Boston      Fund        Market Fund
                                             ------------   ------------   ------------   ------------   ------------

Assets
  Investments at fair value (Note 2)
<S>                                          <C>            <C>            <C>            <C>            <C>
       Unocal Common Stock ...............   $236,345,347   $       --     $       --     $       --     $       --
       Shares of registered
        investment companies:
       S&P 500 Index Fund ................           --       69,606,728           --             --             --
       George Putnam Fund of Boston ......           --             --       47,367,931           --             --
       Low Volatility Fund ...............           --             --             --        7,282,078           --
       Money Market Fund .................           --             --             --             --       21,152,142
       New Opportunities Fund ............           --             --             --             --             --
       Voyager Fund ......................           --             --             --             --             --
       Participant notes receivable(loans)           --             --             --             --             --
                                             ------------   ------------   ------------   ------------   ------------

            Total investments.............    236,345,347     69,606,728     47,367,931      7,282,078     21,152,142

Cash .....................................           --             --             --             --             --
                                             ------------   ------------   ------------   ------------   ------------

            Total Assets .................    236,345,347     69,606,728     47,367,931      7,282,078     21,152,142

Liabilities
     Amounts due to Plan Sponsor..........        429,250           --             --             --             --
                                             ------------   ------------   ------------   ------------   ------------

            Total Liabilities ............        429,250           --             --             --             --

Net assets available for benefits.........   $235,916,097   $ 69,606,728   $ 47,367,931   $  7,282,078   $ 21,152,142
                                             ============   ============   ============   ============   ============
</TABLE>

<TABLE>
<CAPTION>
                                                                Participant Directed
                                             ---------------------------------------------------------
                                                 New                          Unocal
                                             Opportunities     Voyager        Common
                                                 Fund           Fund          Stock           Other          Total
                                             ------------   ------------   ------------   ------------   ------------

Assets
  Investments at fair value (Note 2)
<S>                                           <C>            <C>           <C>            <C>            <C>
       Unocal Common Stock ................   $       --     $       --    $142,161,246   $       --     $378,506,593
      Shares of registered
        investment companies:
       S&P 500 Index Fund .................           --             --             --             --      69,606,728
       George Putnam Fund of Boston .......           --             --             --             --      47,367,931
       Low Volatility Fund ................           --             --             --             --       7,282,078
       Money Market Fund ..................           --             --             --             --      21,152,142
       New Opportunities Fund ....... .....    23,616,128            --             --             --      23,616,128
       Voyager Fund .......................           --      14,934,256            --             --      14,934,256
       Participant notes receivable (loans)           --             --             --      14,009,883     14,009,883

                                             ------------   ------------   ------------   ------------   ------------
            Total investments .............    23,616,128     14,934,256    142,161,246     14,009,883    576,475,739

Cash ......................................           --             --         643,419           --          643,419

                                             ------------   ------------   ------------   ------------   ------------
            Total Assets ..................    23,616,128     14,934,256    142,804,665     14,009,883    577,119,158

Liabilities
     Amounts due to Plan Sponsor ..........           --             --             --             --         429,250
                                             ------------   ------------   ------------   ------------   ------------

            Total Liabilities .............           --             --             --             --         429,250

Net assets available for benefits .........  $ 23,616,128   $ 14,934,256   $142,804,665   $ 14,009,883   $576,689,908
                                             ============   ============   ============   ============   ============
<FN>
   The accompanying notes are an integral part of these financial statements.
</FN>

                                       4
</TABLE>

<PAGE>
<TABLE>
<CAPTION>
                                                             Unocal Savings Plan
                              Statement of Changes in Net Assets Available for Benefits with Fund Information
                                                    For the Year Ended December 31, 1998




                                                       Non-
                                                       Participant
                                                       Directed                                     Participant Directed
                                                       ----------   ----------------------------------------------------------------
                                                       Unocal                                           Low
                                                       Common           S&P 500         George Putnam   Volatility      Money
                                                       Stock            Index Fund      Fund of Boston  Trust Fund      Market Fund
                                                       ----------   ----------------------------------------------------------------

Additions to net assets attributed to:
   Investment income
       Net appreciation (depreciation)
<S>                                                     <C>             <C>             <C>             <C>             <C>
          in fair value of investments..............    $(51,525,716)   $ 20,644,488    $     24,626    $    521,742    $       --
       Interest ....................................            --           227,713         141,438          21,816         35,080
       Dividends ...................................       4,559,695            --         4,887,237            --        1,161,596
                                                        ------------    ------------    ------------    ------------    ------------
         Total investment income/(loss).............     (46,966,021)     20,872,201       5,053,301         543,558      1,196,676

Contributions
   Participant .....................................            --         7,633,768       4,794,267         962,326      3,106,877
   Company .........................................      15,285,419            --              --              --              --
                                                        ------------    ------------    ------------    ------------    ------------
      Total contributions ..........................      15,285,419       7,633,768       4,794,267         962,326      3,106,877


         Total additions ...........................     (31,680,602)     28,505,969       9,847,568       1,505,884      4,303,553

Deductions from net assets attributed to:
   Participant withdrawals & distributions .........      18,849,142       9,446,369       7,144,729       1,391,798      9,305,528
   Trustee fees and other expenses .................            --             4,802           2,706             442          1,140
                                                        ------------    ------------    ------------    ------------    ------------
      Total deductions .............................      18,849,142       9,451,171       7,147,435       1,392,240      9,306,668

Net increase/(decrease) prior to interfund transfers     (50,529,744)     19,054,798       2,700,133         113,644     (5,003,115)

Interfund transfers ................................     (26,136,443)     11,364,085       2,343,543       3,313,159      9,320,928
                                                        ------------    ------------    ------------    ------------    ------------

         Net increase/(decrease)....................     (76,666,187)     30,418,883       5,043,676       3,426,803      4,317,813

Net assets available for benefits:
   Beginning of year ...............................     235,916,097      69,606,728      47,367,931       7,282,078     21,152,142
                                                        ------------    ------------    ------------    ------------    ------------
   End of year .....................................    $159,249,910    $100,025,611    $ 52,411,607    $ 10,708,881    $25,469,955
                                                        ============    ============    ============    ============    ============

</TABLE>


<TABLE>
<CAPTION>
                                                                     Participant Directed
                                                     ---------------------------------------------------------------
                                                           New                          Unocal
                                                       Opportunities      Voyager       Common              Other         Total
                                                          Fund             Fund         Stock
                                                     ---------------  -------------  ----------------- -------------   -------------

Additions to net assets attributed to:
   Investment income
       Net appreciation (depreciation)
<S>                                                 <C>              <C>             <C>               <C>            <C>
          in fair value of investments ..........   $   5,360,000    $   2,480,170   $ (31,867,251)    $               $(54,361,941)
       Interest .................................          81,361           50,945         306,153             --           864,776
       Dividends ................................       1,190,440        1,608,188       2,805,767             --        16,212,923
                                                    -------------    -------------   -------------     -------------   -------------
         Total investment income/(loss).........        6,632,071        4,139,303     (28,755,331)            --       (37,284,242)

Contributions
   Participant ..................................       3,875,442        2,516,870      11,485,875             --        34,375,425
   Company ......................................            --               --              --               --        15,285,419
                                                    -------------    -------------   -------------     -------------   -------------
      Total contributions .......................       3,875,442        2,516,870      11,485,875             --        49,660,844


         Total additions ........................      10,507,513        6,656,173     (17,269,456)            --        12,376,602

Deductions from net assets attributed to:
   Participant withdrawals & distributions ......       3,303,158        2,740,226      13,700,556        1,553,966      67,435,472
   Trustee fees and other expenses ..............           1,984            1,520           6,464             --            19,058
                                                    -------------    -------------   -------------     -------------   -------------
      Total deductions ..........................       3,305,142        2,741,746      13,707,020        1,553,966      67,454,530

Net increase (decrease) prior
   to interfund transfers .......................       7,202,371        3,914,427     (30,976,476)      (1,553,966)    (55,077,928)

Interfund transfers .............................       7,134,149        4,848,650     (12,918,714)         730,643             --
                                                    -------------    -------------   -------------     -------------   -------------

         Net increase/(decrease) ................      14,336,520        8,763,077     (43,895,190)        (823,323)    (55,077,928)

Net assets available for benefits:
   Beginning of year ............................      23,616,128       14,934,256     142,804,665       14,009,883     576,689,908
                                                    -------------    -------------   -------------     -------------   -------------
   End of year ..................................   $  37,952,648    $  23,697,333   $  98,909,475     $13,186,560     $521,611,980
                                                    =============    =============   =============     =============   =============

<FN>
The accompanying notes are an integral part of these financial statements.
</FN>
                                       5
</TABLE>

<PAGE>
<TABLE>
<CAPTION>
                                                             Unocal Savings Plan
                              Statement of Changes in Net Assets Available for Benefits with Fund Information
                                                     For the Year Ended December 31, 1997




                                                       Non-
                                                       Participant
                                                       Directed                                     Participant Directed
                                                       ----------   ----------------------------------------------------------------
                                                       Unocal                                           Low
                                                       Common           S&P 500         George Putnam   Volatility      Money
                                                       Stock            Index Fund      Fund of Boston  Trust Fund      Market Fund
                                                       ----------   ----------------------------------------------------------------

Additions to net assets attributed to:
   Investment income
       Net appreciation (depreciation)
<S>                                                     <C>             <C>             <C>             <C>             <C>
          in fair value of investments..............    $ (9,906,045)   $ 14,857,874    $  2,983,768    $    367,418    $       --
       Interest ....................................            --           223,420         156,562          21,843         30,722
       Dividends ...................................       5,889,452            --         4,243,774            --          927,878
                                                        ------------    ------------    ------------    ------------    ------------
         Total investment income/(loss).............      (4,016,593)     15,081,294       7,384,104         389,261        958,600

Contributions
   Participant .....................................            --         8,764,900       6,446,088       1,125,325      2,423,537
   Company .........................................      17,714,653            --              --              --              --
                                                        ------------    ------------    ------------    ------------    ------------
      Total contributions ..........................      17,714,653       8,764,900       6,446,088       1,125,325      2,423,537


         Total additions ...........................      13,698,060      23,846,194      13,830,192       1,514,586      3,382,137

Deductions from net assets attributed to:
   Participant withdrawals & distributions .........      59,246,666      10,580,917       8,539,430       1,705,331     11,753,101
   Trustee fees and other expenses .................            --             5,835           3,209             502            736
                                                        ------------    ------------    ------------    ------------    ------------
      Total deductions .............................      59,246,666      10,586,752       8,542,639       1,705,833     11,753,837

Net increase/(decrease) prior to interfund transfers     (45,548,606)     13,259,442       5,287,553        (191,247)    (8,371,700)

Interfund transfers ................................     (47,898,573)     16,687,297      13,139,999       3,232,389     17,516,464
                                                        ------------    ------------    ------------    ------------    ------------

         Net increase/(decrease)....................     (93,447,179)     29,946,739      18,427,552       3,041,142      9,144,764

Net assets available for benefits:
   Beginning of year ...............................     329,363,276      39,659,989      28,940,379       4,240,936     12,007,378
                                                        ------------    ------------    ------------    ------------    ------------
   End of year .....................................    $235,916,097    $ 69,606,728    $ 47,367,931    $  7,282,078    $21,152,142
                                                        ============    ============    ============    ============    ============

</TABLE>


<TABLE>
<CAPTION>
                                                                     Participant Directed
                                                     ---------------------------------------------------------------
                                                           New                           Unocal
                                                       Opportunities      Voyager        Common             Other          Total
                                                          Fund             Fund          Stock
                                                     ---------------  -------------  --------------   --------------   -------------

Additions to net assets attributed to:
   Investment income
       Net appreciation (depreciation)
<S>                                                 <C>              <C>             <C>               <C>            <C>
          in fair value of investments ..........   $   3,238,592    $   1,465,635   $ ( 4,541,225)    $               $  8,466,017
       Interest .................................          81,505           46,613         380,673             --           941,338
       Dividends ................................         514,928          884,227       2,740,252             --        15,200,511
                                                    -------------    -------------   -------------    -------------    -------------
         Total investment income/(loss).........        3,835,025        2,396,475     ( 1,420,300)            --        24,607,866

Contributions
   Participant ..................................       3,355,612        2,180,352      35,157,981             --        59,453,795
   Company ......................................            --               --              --               --        17,714,653
                                                    -------------    -------------   -------------    -------------    -------------
      Total contributions .......................       3,355,612        2,180,352      35,157,981             --        77,168,448


         Total additions ........................       7,190,637        4,576,827      33,737,681             --       101,776,314

Deductions from net assets attributed to:
   Participant withdrawals & distributions ......       2,913,046        1,667,146      30,854,321        3,656,143     130,916,101
   Trustee fees and other expenses ..............           2,022            1,459          11,559             --            25,322
                                                    -------------    -------------   -------------    -------------    -------------
      Total deductions ..........................       2,915,068        1,668,605      30,865,880        3,656,143     130,941,423

Net increase (decrease) prior
   to interfund transfers .......................       4,275,569        2,908,222       2,871,801       (3,656,143)    (29,165,109)

Interfund transfers .............................       5,572,371        4,817,883     (14,097,680)       1,029,850             --
                                                    -------------    -------------   -------------    -------------    -------------

         Net increase/(decrease) ................       9,847,940        7,726,105     (11,225,879)      (2,626,293)    (29,165,109)

Net assets available for benefits:
   Beginning of year ............................      13,768,188        7,208,151     154,030,544       16,636,176      605,855,017
                                                    -------------    -------------   -------------    -------------    -------------
   End of year ..................................   $  23,616,128    $  14,934,256   $ 142,804,665    $  14,009,883    $ 576,689,908
                                                    =============    =============   =============    =============    =============

<FN>
The accompanying notes are an integral part of these financial statements.
</FN>
                                       5
</TABLE>

<PAGE>
                               UNOCAL SAVINGS PLAN
                          NOTES TO FINANCIAL STATEMENTS


NOTE 1  - Description of the Plan

General
- -------

     Unocal Corporation (Unocal) was incorporated in Delaware on March 18, 1983,
to operate as the parent of Union Oil Company of California.  The Unocal Savings
Plan (the "Plan")  provides for Union Oil Company of  California (d.b.a.) Unocal
(the "company")  contributions  and for participants'  voluntary  contributions.
Putnam  Fiduciary  Trust  Company  is the  trustee  ("Trustee")  of the Plan and
invests funds  contributed by the company and  participants to the Plan.  During
1998 and 1997, all company contributions were invested in common stock of Unocal
Corporation and participant contributions were invested at the discretion of the
participants in a range of investment fund options and Unocal Corporation common
stock.   Effective   March  3,  1997,   participants   could  transfer   company
contributions into one or more of the Plan investment options.  The company will
continue  to  match   contributions  in  only  Unocal  common  stock,   however,
participants  may  thereafter  transfer  these  balances  into  any of the  Plan
investment  options.  All shares  remain with the  Trustee  until  delivered  to
participants upon request for withdrawal or after termination of employment. The
Plan is subject to certain provisions of the Employee Retirement Income Security
Act of 1974 ("ERISA") as a defined contribution plan.

    The Savings Plan booklet dated January 1998 constitutes part of a prospectus
covering  securities that have been registered under the Securities Act of 1933.
This  booklet is a Summary  Plan  Description  of the Unocal  Savings Plan as of
January  1, 1998 and  supercedes  the Plan  booklet  dated  July 1, 1990 and all
subsequent  amendments.  Other  information  about  the Plan can be found in the
Summary Plan Description booklet.

Participation
- -------------

    Employees become participants in the Plan after the completion of one year
of continuous service in which the employee has worked at least 1,000 hours.

Contributions
- -------------

Participant  Contributions -- Participant contributions are voluntary and can be
all pre-tax,  all after-tax,  or a combination of both. However, a participant's
total annual contribution must not exceed 15 percent of the participant's annual
base pay. The pre-tax  contributions are also known as 401(k)  contributions.  A
participant's contributions shall not exceed the maximum amount allowed by law.

Company  Matching  Contributions  -- The company matches employee pre-tax 401(k)
contributions  on  a  dollar  for  dollar  basis,  up  to  six  percent  of  the
contributing participant's base pay.

    At its  discretion,  the company  directs  the  Trustee to  purchase  shares
attributable to company matching  contributions  either on the open market or by
private purchases directly from the company.

Participant Accounts
- --------------------

    Each  participant's  account  is  credited  with the  contributions  and the
respective net investment earnings or losses of the individual funds as governed
by the participant's investment selection.

Vesting
- -------

    Participants are always 100 percent vested in participant  contributions and
the  dividends  on those  contributions.  Vesting in the  company  contributions
portion of participants' accounts and the dividends thereon is based on years of
vesting service.  Effective January 1, 1998, a participant is 100 percent vested
in  company  contributions  and  dividends  thereon  after two years of  vesting
service.  Prior to this date, a participant was vested in company  contributions
and dividends thereon after five years of vesting service.

                                       7

<PAGE>

                              UNOCAL SAVINGS PLAN
                    NOTES TO FINANCIAL STATEMENTS (continued)

    In 1997, special vesting provisions of the Plan pertaining to the sale of 76
Products  Company were enacted to waive the five year vesting period for certain
plan members  whose  employment  terminated  due to the sale.  The affected plan
members included those employees whose employment terminated due to a work force
reduction or job elimination beginning on the sale announcement date of November
18, 1996 through December 31, 1997. Subsequently, the special vesting provisions
were  amended to include 76  Products  Company  "transition  team"  members  who
remained employed by Unocal after December 31, 1997, but whose "transition team"
assignment  ended on or before March 31, 1998 and whose  employment  with Unocal
ended on or before July 31, 1998.

Payment of Benefits
- -------------------

    On termination of employment or at such time as participants become eligible
to receive benefits,  participants may elect to receive their account balance or
defer their  distribution until a later date, but not beyond April 1 of the year
following attainment of age 70-1/2.

        If a participant continues to work past age 70-1/2,  federal regulations
require distribution of a portion of the participant's  account balance by April
1 of the calendar year following the participant's attainment of age 70-1/2.

Rollovers into the Plan
- -----------------------

        Effective  March 3,  1997,  the Plan  accepted  rollovers  of  qualified
amounts from the Unocal  Retirement Plan and the Unocal Employee Stock Ownership
Plan that are distributed following termination of employment. Effective July 1,
1998, the Plan accepted  rollovers of qualified amounts from the Puregro Company
401(k)  Retirement  Savings Plan. The Purego  Company is a former  subsidiary of
Union Oil Company of California,  which is a subsidiary of Unocal. Additionally,
the Plan will accept rollovers from other employers' qualified plans, subject to
certain restrictions.

Loans
- -----

    All employees who are participants of the Plan and have a sufficient balance
in their  employee  pre-tax  contributions  account are  eligible to apply for a
loan.  Members borrow against their own pre-tax account balance and all payments
of  principal  and  interest  are  credited  back to their  account.  Loan types
available are "any reason" (except investment in registered  securities);  "home
purchase" (for purchase of a primary  residence  only);  and loans "forced" by a
hardship  withdrawal  request.  Repayment  periods  range  from  1 to  15  years
depending  on the  type of loan.  The  Unocal  Savings  Plan  Loan and  Hardship
Withdrawal Committee determines the interest rate for loans based on appropriate
market rates and applicable federal regulations.

Investment Program
- ------------------

    All  contributions  are  held  in  trust  and  invested  by the  Trustee  in
accordance   with  the  option  or  options  elected  by  the   participant.   A
participant's account may be invested in any one or more or all of the following
funds administrated by the Trustee:

Unocal  Corporation  Common Stock - Monies are used to purchase shares of Unocal
Corporation  common  stock.  Company  contributions  are invested only in Unocal
Corporation  common stock.

Putnam S&P 500 - This fund invests in a large variety of publicly  traded common
stock.  The fund is designed to mirror the  performance  and  composition of the
Standard & Poor's 500 index.

                                       8


<PAGE>

                               UNOCAL SAVINGS PLAN
                    NOTES TO FINANCIAL STATEMENTS (continued)

The George  Putnam  Fund of Boston - The monies in this fund are  invested  in a
diversified group of stocks and bonds.

Putnam Low Volatility Trust Fund - Monies are invested mainly in U.S. government
debt securities.

Putnam Money Market Fund - Investments  are made in a  diversified  portfolio of
high-quality  money market  instruments with an average maturity of less than 90
days.

Putnam New  Opportunities  Fund - Investments  are primarily in common stocks of
companies  within  certain  emerging  industry  groups that offer above  average
potential for growth and a risk for greater price fluctuations.

Putnam  Voyager Fund -  Investments  are in a  combination  of stocks of smaller
companies  expected  to grow  over  time,  as well as  stocks  of  larger,  more
established companies.

Federal Income Tax Status
- -------------------------

    The company  obtained its latest  determination  letter on November 3, 1995,
from the Los Angeles District Director of the Internal Revenue Service, in which
the Internal  Revenue  Service  stated that the Plan, as then  designed,  was in
compliance with the applicable  requirements  of the Internal  Revenue Code (the
"Code").  The Plan has been amended since  receiving the  determination  letter.
However, the plan administrator and the Plan's tax counsel believe that the Plan
is  currently  designed and being  operated in  compliance  with the  applicable
requirements of the Internal  Revenue Code.  Therefore,  no provision for income
taxes has been included in the Plan's financial statements.

    Under Federal  regulations  effective  January 1, 1998, the maximum employee
pay eligible for benefit  purposes  under a qualified plan is $160,000 per year.
If an employee's pay exceeds $160,000,  only the first $160,000 of base pay will
be eligible for calculating employee and company contributions.

    Federal  regulations  place an annual dollar limit on the amount of employee
pre-tax contributions.  The limit was $10,000 and $9,500 in 1998 and 1997,
respectively.  If pre-tax  contributions reach the annual limit before year-end,
they are suspended  for the balance of the year.  The company matching
contributions are also suspended if the annual limit is reached before year-end.

    Withdrawals from the Plan are generally subject to federal income tax. Also,
in-service withdrawals and withdrawals following termination of employment prior
to retirement may be subject to a 10 percent federal income tax penalty.

Plan Termination
- ----------------

        The company  expects to continue the Plan  indefinitely,  but, as future
conditions cannot be foreseen,  the company may at any time or from time to time
amend  or  terminate   the  Plan  in  whole  or  part.  In  the  event  of  such
discontinuance of the Plan, participants become fully vested in their individual
accounts,  and  the  net  assets  of  the  Plan  must  be  allocated  among  the
participants  and  beneficiaries  of the Plan in the order provided by ERISA. An
amendment  may  affect  present  as well  as  future  participants,  but may not
diminish the account balance of any  participant  existing on the effective date
of such amendment.  The company has no present intent to discontinue the company
matching contributions or to terminate the Plan.

                                       9


<PAGE>
                               UNOCAL SAVINGS PLAN
                    NOTES TO FINANCIAL STATEMENTS (continued)


NOTE 2 - Summary of Significant Accounting Policies

Basis of Accounting
- -------------------

         The accompanying financial statements are prepared on the accrual basis
of accounting in conformity with generally accepted  accounting  principles.  In
addition, the following accounting policies are applied:

a. Purchases and sales of Unocal Corporation common stock:

         During  normal  trading by  participants,  the Trustee will collect all
         participant  directed stock trades  throughout the day and will execute
         and complete one buy and sell trade per day.

         During  abnormal  conditions  or heavy  trading  by  participants,  the
         Trustee may not be able to execute and  complete  participant  directed
         trades on the same day without  affecting the share price.  The Trustee
         is  authorized,  at its  discretion,  to buy or sell a  portion  of the
         trades  during the next day or days.  Prices  received  from each day's
         trading  will be averaged to ensure  that all  participants  requesting
         trades will be treated equitably.

b. Dividend income is recorded on the ex-dividend date.

c. Interest income is recorded as earned on the accrual basis.

d. Benefits are recorded when paid.

        The Plan  presents in the  statement of changes in net assets  available
for  benefits  the net  appreciation  (depreciation)  in the  fair  value of its
investments  which  consists of the realized  gains or losses and the unrealized
appreciation (depreciation) on those investments.

Valuation of Investments
- ------------------------

        The Plan's  investments  are stated at fair value.  Shares of registered
investment  companies are valued at quoted market prices from national exchanges
which represent the net asset value of shares held by the Plan at year-end.  The
Unocal  Corporation  common stock is valued at the closing price as reported for
the New York Stock  Exchange  Composite  Transactions  at December  31, 1998 and
1997,  respectively.  Investments in common trust funds are valued based on
information provided by the Plan's investment custodions.  The financial
statements of the common trust funds are audited annually by independent
accountants. As a result, the value of the assets of the Plan are subject to the
variations  in the  market.  The fair  value of the  investments  and net assets
available  for  benefits  could be  materially  affected  by a change  in market
conditions.

Use of Estimates in Preparation of the Financial Statements
- -----------------------------------------------------------

        The  preparation  of financial  statements in conformity  with generally
accepted accounting  principles requires the Plan's management to make estimates
and assumptions  that affect the reported  amounts of assets and liabilities and
disclosure of contingent  assets and  liabilities  at the dates of the financial
statements  and the reported  amounts of additions  to and  deductions  from net
assets  during the  reporting  periods.  Actual  results could differ from those
estimates.

                                       10


<PAGE>
                               UNOCAL SAVINGS PLAN
                    NOTES TO FINANCIAL STATEMENTS (continued)


NOTE 3  - Forfeitures by Members

    Company basic and matching  contributions  and  dividends  thereon under the
Plan are forfeited by employees whose employment is terminated before completing
two years of service and whose  termination  is for any reason  other than their
total disability, death or retirement. However, if an employee is re-employed by
the company and performs an hour of service  within five years after the date of
termination of employment, the forfeited account balance shares will be restored
to the  employee's  Plan  account.  Amounts  forfeited  will be used to  restore
previously  forfeited accounts when necessary.  Remaining amounts forfeited will
then be used to offset future company contributions to Plan member accounts.

    At  December  31,  1998  and  1997,  forfeited  nonvested  accounts  totaled
$516,520 and $429,250, respectively.


NOTE 4  - Parties-in-interest

    Certain of the Plan's  investments  are  shares of mutual  funds  managed by
Putnam  Fidicuary  Trust  Company,  Trustee of the Plan,  as defined by the Plan
Agreement.   Therefore,   these   transactions   qualify  as   party-in-interest
transactions for which a statutory  exemption exists.  Fees paid by the Plan for
investment  management  services are  disclosed on the face of the  statement of
changes in net assets  available  for  benefits at  December  31, 1998 and 1997,
respectively.

    The company,  who also  qualifies as a  party-in-interest,  absorbs  certain
administrative  expenses of the Plan. Such transactions with the company qualify
for a statutory exemption.  Total expenses paid by the company were $162,326 and
$195,761 for the years ended December 31, 1998 and 1997, respectively.





                                       11

<PAGE>



                                    SIGNATURE


Pursuant  to the  requirements  of the  Securities  Exchange  Act of  1934,  the
Committee  appointed by the Board of Directors of the Company to administer  the
Plan have  duly  caused  this  annual  report to be signed on its  behalf by the
undersigned hereunto duly authorized.


                                                  UNOCAL SAVINGS PLAN



Date:  June 29, 1999                          By:   /s/ Joe D. Cecil
                                                  ---------------------
                                                  Joe D. Cecil
                                                  Vice President and Comptroller

                                       12

<PAGE>
<TABLE>
<CAPTION>

                                                        UNOCAL SAVINGS PLAN
                                   ITEM 27(a) - SCHEDULE OF ASSETS HELD FOR INVESTMENT PURPOSES
                                               For the Year Ended DECEMBER 31, 1998



                                                   (c) Description of Investment
                                                       Including Maturity Date,
          (b) Identity of Issue, Borrower,             Rate of Interest, Collateral,                                   (e)Current
    (a)       Lessor or Similar Party                  Par or Maturity Value                  (d)  Cost                   Value
- ------------------------------------------------------------------------------------------------------------------------------------
<S>                                                                                          <C>                        <C>
  **           Unocal Corporation                     Unocal Corporation Common Stock        $238,058,671               $258,638,208
                                                      ( 8,861,267 shares)

   *           Putnam Investments                     S & P 500 Index Fund                     66,506,052                100,025,611
                                                      ( 3,457,505 shares)

   *           Putnam Investments                     George Putnam Fund of Boston             50,046,073                 52,411,607
                                                      ( 2,905,300 shares)


   *           Putnam Investments                     Putnam Low Volatility Trust Fund          9,932,020                 10,708,881
                                                      (   833,376 shares)

   *           Putnam Investments                     Putnam Money Market Fund                 25,469,955                 25,469,955
                                                      (25,469,956 shares)

   *           Putnam Investments                     Putnam New Opportunities Fund            30,912,464                 37,952,648
                                                      (   649,540 shares)

   *           Putnam Investments                     Putnam Voyager Fund                      20,685,820                 23,697,333
                                                      ( 1,081,083 shares)


   *           Putnam Investments                     Participant Loans                               --                  13,186,560

                                                                                             ------------               ------------
                                                                                             $441,611,055               $522,090,803
                                                                                             ============               ============
<FN>

*    Trustee  for the  Plan  and,  therefore  a  party-in-interest  for  which a
     statutory exemption exists.

**   Sponser  and  employer,  and  therefore,  a  party-in-interest  for which a
     statutory exemption exists.
</FN>

</TABLE>
                                       13

<PAGE>
<TABLE>
<CAPTION>

                                                       UNOCAL SAVINGS PLAN
                                  ITEM 27(d) - SCHEDULE OF REPORTABLE TRANSACTIONS (1)
                                          FOR THE YEAR ENDED DECEMBER 31, 1998





                     (b)Description                                             (f)Expense                 (h)Current
                     of Assets                                                   Incurred                   Value of       (i)Net
                     (Including Interest   (c)Purchase  (d)Selling    (e)Lease   With          (g) Cost     Asset on        Gain
(a)Identity of       Rate and Maturity        Price        Price       Rental    Transaction   of Asset     Transaction     Or
Party Involved       in Case of a loan)                                                                     Date           (loss)
- ------------------------------------------------------------------------------------------------------------------------------------



<S>                                        <C>            <C>                                <C>         <C>             <C>
Unocal Corporation  Unocal Corporation     48,679,893                                        48,679,893   48,679,893
(2)                  Common Stock
                     (  369 Transactions)

Unocal Corporation  Unocal Corporation                    90,740,555                         68,106,169   90,740,555     22,634,386
(2)                  Common Stock
                     (1,280 Transactions)

Putnam Investments  George Putnam Fund     19,802,931                                        19,802,931   19,802,931
(3)                  (  308 Transactions)

Putnam Investments  George Putnam Fund                    14,783,881                         13,759,782   14,783,881      1,024,099
(3)                  (  551 Transactions)

Putnam Investments  Putnam Voyager Fund    13,257,330                                        13,257,330   13,257,330
(3)                 (   319 transactions)

Putnam Investments  Putnam Voyager Fund                    6,974,423                          6,547,452    6,974,423        426,971
(3)                 (   443 transactions)

Putnam Investments  Putnam New             19,206,127                                        19,206,127   19,206,127
(3)                 Opportunity Fund
                    (   342 transactions)

Putnam Investments  Putnam New                            10,229,607                          9,429,209   10,229,607        800,398
(3)                 Opportunity Fund
                    (   482 transactions)

Putnam Investments  Putnam S&P 500 Fund    33,430,585                                        33,430,585   33,430,585
(3)                 (   364 transactions)

Putnam Investments  Putnam S&P 500 Fund                   23,656,586                         18,707,897   23,656,586      4,948,689
(3)                 (   588 transactions)

Putnam Investments  Putnam Low              7,891,452                                         7,891,452    7,891,452
(3)                 Volatility Fund
                    (   265 transactions)

Putnam Investments  Putnam Low                             4,986,390                          4,803,270    4,986,390        183,120
(3)                 Volatility Fund
                    (   349 transactions)

Putnam Investments  Putnam Money           30,118,256                                        30,118,256   30,118,256
(3)                 Market Fund
                    (   542 transactions)

Putnam Investments  Putnam Money                          27,379,819                          27,379,817   27,379,819             2
(3)                 Market  Fund
                    (   523 transactions)

<FN>

(1)  Under  ERISA,  a  reportable  transaction  is a  transaction  or  series of
     transactions  during the Plan year that involves more than 5 percent of the
     fair  value of the Plan's net assets at the  beginning  of the Plan  year,
     with certain exceptions.

(2)  Sponsor  and  employer  and,  therefore  a  party-in-interest  for  which a
     statutory exemption exists.

(3)  Trustree  for the Plan  and,  therefore  a  party-in-interest  for  which a
     statutory exemption exists.
</FN>
</TABLE>
                                       14
<PAGE>


                               UNOCAL CORPORATION

                                  EXHIBIT INDEX





Exhibit 23         Consent of PricewaterhouseCoopers LLP



                                       15






                                                                      EXHIBIT 23






                       CONSENT OF INDEPENDENT ACCOUNTANTS

We consent to the  incorporation by reference in the  Registration  Statement of
Unocal  Corporation  on Form S-8 (No.  33-65461)  of our report,  dated June 18,
1999, on our audits of the financial  statements and  supplemental  schedules of
the Unocal  Savings Plan as of December 31, 1998 and 1997 and for the years then
ended which report is included in this annual report on Form 11-K.










PricewaterhouseCoopers LLP
Los Angeles, California
June 29, 1999







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