COVA VARIABLE ANNUITY ACCOUNT ONE
497, 1998-12-21
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                 COVA FINANCIAL SERVICES LIFE INSURANCE COMPANY

                        COVA VARIABLE ANNUITY ACCOUNT ONE

                      Supplement dated October 28, 1998 to

                          Prospectus dated May 1, 1998

The following  information  is in addition to certain  information  contained in
your prospectus for the Cova variable annuity.

1.   The following paragraph is added to Section 4 - Investment Options - Dollar
     Cost Averaging:

     Cova  reserves  the right to modify,  terminate  or suspend the Dollar Cost
     Averaging Program.

2.   The following information is added to your prospectus as an Appendix:

<TABLE>
<CAPTION>
CONDENSED FINANCIAL INFORMATION
ACCUMULATION UNIT VALUE HISTORY

The  following  schedule  includes  accumulation  unit  values  for the  periods
indicated.  This data has been extracted from the Separate  Account's  Financial
Statements.  This  information  should be read in conjunction  with the Separate
Account's  Financial  Statements  and related  notes  which are  included in the
Statement of Additional Information.




                                           Period            Year or         Year or
                                            Ended             Period Ended    Period Ended
                                           6/30/98           12/31/97        12/31/96
                                          (unaudited)

RUSSELL INSURANCE FUNDS

Multi-Style Equity Sub-Account                                *                  *
<S>                                         <C>   
Beginning of Period                         $10.00
End of Period                               $11.95
Number of Accum. Units Outstanding         1,269,404

Aggressive Equity Sub-Account                                 *                  *
Beginning of Period                         $10.00
End of Period                               $10.63
Number of Accum. Units Outstanding         264,785

Non-U.S. Sub-Account                                          *                  *
Beginning of Period                         $10.00
End of Period                               $11.20
Number of Accum. Units Outstanding         466,333

Core Bond Sub-Account                                         *                  *
Beginning of Period                         $10.00
End of Period                               $10.32
Number of Accum. Units Outstanding         847,253

GENERAL AMERICAN CAPITAL COMPANY

Money Market Sub-Account
Beginning of Period                         $10.67            $10.23             $10.00
End of Period                               $10.89            $10.67             $10.23
Number of Accum. Units Outstanding         966,618            311,051            34,964
<FN>
*    The accumulation  unit values shown for the beginning of the period reflect
     the date they were first  offered  for sale under the  contracts  which was
     January 2, 1998.  The  accumulation  unit values shown for the beginning of
     the period for the General  American Money Market  Sub-Account  reflect the
     date they were first  offered for sale through the Separate  Account  which
     was on June 3, 1996.
</FN>
</TABLE>


3.   The following  information replaces the information contained in Appendix B
     - Performance Information:


FUTURE PERFORMANCE WILL VARY AND THE RESULTS SHOWN ARE NOT
NECESSARILY REPRESENTATIVE OF FUTURE RESULTS.

Note:  The  figures in Part 1 and Part 2 below  present  investment  performance
information for the periods ended June 30, 1998.  While these numbers  represent
the returns as of that date,  they do not represent  performance  information of
the portfolios  since that date.  Performance  information for the periods after
June 30, 1998 may be  significantly  different  (lower)  than the numbers  shown
below.

<TABLE>
<CAPTION>
PART 1

The Chart below reflects the performance of the  accumulation  units invested in
the Portfolios for the periods shown.

Column A presents  performance  figures for the accumulation units which reflect
the  insurance  charges  and the fees and  expenses of the  portfolio.  Column B
presents  performance  figures  for the  accumulation  units  which  reflect the
insurance charges, the contract maintenance charge, the fees and expenses of the
portfolio,  and assumes that you make a withdrawal  at the end of the period and
therefore the withdrawal charge is reflected.

PART 1
AVERAGE ANNUAL TOTAL RETURN FOR THE PERIODS ENDED 6/30/98:


                                                        Accumulation Unit Performance
                                               Column A                   Column B
                                            (reflects insurance        (reflects all charges
                                               charges and                and portfolio
                                              portfolio expenses         expenses)
- -------------------------------------------------------------------------------------------------
                           Separate Account
                           Inception Date                    since                       since
Portfolio                  in Portfolio           1 yr       inception         1 yr     inception
- -------------------------------------------------------------------------------------------------


RUSSELL INSURANCE FUNDS

<S>                         <C> <C>                       <C>                            <C>   
Multi-Style Equity          1/2/98              --        19.50%             --          14.38%
 
Aggressive Equity           1/2/98              --         6.29%             --           1.19%

Non-U.S.                    1/2/98              --        12.01%             --           6.90%

Core Bond                   1/2/98              --         3.16%             --          -1.95%

GENERAL AMERICAN
CAPITAL COMPANY

Money Market                6/3/96               4.30%      4.20%           -.81%          1.95%
</TABLE>

<TABLE>
<CAPTION>
PART 2

The contracts are relatively  new and therefore  have no meaningful  performance
history. However, the portfolios of Russell Insurance Funds and the Money Market
Fund of General  American  Capital  Company have been in existence for some time
and have an investment  performance history. In order to show how the historical
performance of the portfolios  affects the contract's  accumulation unit values,
the following  performance  was  developed.  The  information  is based upon the
historical  experience of the portfolios and is for the periods shown. The chart
below shows the investment  performance  of the portfolios and the  accumulation
unit performance  calculated by assuming that the contracts were invested in the
portfolios for the same periods.

The  performance  figures in Column A reflect the fees and expenses paid by each
portfolio.  Column B presents  performance  figures for the  accumulation  units
which reflect the insurance charges and the fees and expenses of each portfolio.
Column C presents  performance  figures for the accumulation units which reflect
the insurance charges, the contract maintenance charge, the fees and expenses of
each portfolio,  and assumes that you make a withdrawal at the end of the period
and therefore the withdrawal charge is reflected.

PART 2
AVERAGE ANNUAL TOTAL RETURN FOR THE PERIODS ENDED 6/30/98:



- ------------------------------------------------------------------------------------------------------------------------------------
                                                                                         Accumulation Unit Performance
                                                                                      Column B                   Column C
                                                                                 (reflects insurance       (reflects all charges
                                                   Portfolio Performance            charges and                and portfolio
                                                         Column A                portfolio expenses)             expenses)
- ------------------------------------------------------------------------------------------------------------------------------------
                                Portfolio                   10 yrs or                     10 yrs or                      10 yrs or
                                Inception                   since                         since                          since
Portfolio                       Date        1 yr   5 yrs    inception      1 yr   5 yrs   inception     1 yr    5 yrs    inception
- ------------------------------------------------------------------------------------------------------------------------------------

RUSSELL INSURANCE FUNDS

<S>                           <C> <C>   <C>              <C>           <C>              <C>          <C>                    <C>   
 Multi-Style Equity           1/2/97    34.35%    --     34.01%        32.95%    --     32.61%       27.85%     --          28.01%
 
 Aggressive Equity            1/2/97    25.54%    --     28.07%        23.14%    --      26.67%      18.04%     --         22.07%

 Non-U.S.                     1/2/97     1.16%    --      8.62%        -0.24%    --       7.22%       -5.34%    --          2.62%

 Core Bond                    1/2/97    10.64%    --      9.18%         9.24%    --       7.78%    4.14%      --          3.18%

GENERAL AMERICAN CAPITAL COMPANY

   Money Market                 10/1/87    5.76%   5.15%    6.02%         4.36%    3.75%     4.62%   -0.74%     -0.85%     4.52%
</TABLE>


CL-4120(10/98)



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