COVA VARIABLE ANNUITY ACCOUNT ONE
497, 1998-11-20
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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  for the period ended June 30, 1998 is added to
     Appendix A - Condensed Financial Information:

                                                              Period
                                                              Ended
                                                              6/30/98
                                                              (unaudited)
                                                              -----------

COVA SERIES TRUST

Managed by Lord, Abbett & Co.

Bond Debenture Sub-Account
Beginning of Period                                           $12.88
End of Period                                                 $13.51
Number of Accum. Units Outstanding                            6,151,600

Mid-Cap Value Sub-Account
Beginning of Period                                           $10.47
End of Period                                                 $11.21
Number of Accum. Units Outstanding                            795,251

Large Cap Research Sub-Account
Beginning of Period                                           $  9.90
End of Period                                                 $11.34
Number of Accum. Units Outstanding                            464,192

Developing Growth Sub-Account
Beginning of Period                                           $10.53
End of Period                                                 $11.31
Number of Accum. Units Outstanding                           701,432

Managed by J.P. Morgan Investment
Management Inc.
 
Select Equity Sub-Account
Beginning of Period                                           $14.05
End of Period                                                 $15.80
Number of Accum. Units Outstanding                         8,986,842
 
Small Cap Stock Sub-Account
Beginning of Period                                           $13.49
End of Period                                                 $14.02
Number of Accum. Units Outstanding                         4,937,599
 
International Equity Sub-Account
Beginning of Period                                           $11.46
End of Period                                                 $13.06
Number of Accum. Units Outstanding                         6,578,152
 
Quality Bond Sub-Account
Beginning of Period                                           $11.16
End of Period                                                 $11.53
Number of Accum. Units Outstanding                         2,191,199
 
Large Cap Stock Sub-Account
Beginning of Period                                           $14.89
End of Period                                                 $17.66
Number of Accum. Units Outstanding                         2,624,260

LORD ABBETT SERIES FUND, INC.
Growth and Income Sub-Account
Beginning of Period                                           $30.84
End of Period                                                 $33.66
Number of Accum. Units Outstanding                        18,092,138
 
GENERAL AMERICAN CAPITAL COMPANY
Money Market Sub-Account
Beginning of Period                                           $10.67
End of Period                                                 $10.89
Number of Accum. Units Outstanding                           966,618

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.

PART 1

The portfolios  listed below began operations before June 30, 1998. As a result,
performance  information is available for the accumulation unit values investing
in these portfolios.

Column A presents  performance  figures for the accumulation units which reflect
the  insurance  charges  as well as the  fees  and  expenses  of the  investment
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 investment portfolio,  and assume that you make a withdrawal
at the end of the period and therefore the withdrawal  charge is reflected.  The
inception  dates  shown  below  reflect  the dates the  Separate  Account  first
invested  in the  Portfolio.  The  performance  returns for  accumulation  units
investing  in the  portfolios  in  existence  for  less  than  one  year are not
annualized.


<TABLE>
<CAPTION>
PART 1       COVA SERIES TRUST
             AVERAGE ANNUAL TOTAL RETURN FOR THE PERIODS ENDED 6/30/98

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

<S>                          <C> <C>              <C>                     <C>              <C>                     <C>   
Select Equity                5/1/96               22.89%          --      23.01%           17.76%         --       21.19%
Small Cap Stock              5/1/96               16.63%          --      14.20%           11.51%         --       12.25%
International Equity         5/1/96                8.34%          --      12.00%            3.23%         --       10.01%
Quality Bond                 5/1/96                8.94%          --       7.28%            3.83%         --        5.20%
Large Cap Stock              5/1/96               29.38%          --      29.99%           24.25%         --       28.27%
Bond Debenture               5/1/96               11.92%          --      14.39%            6.81%         --       12.44%
Mid-Cap Value               8/20/97                 --            --      12.10%             --           --        6.87%
Large Cap Research          8/20/97                 --            --      13.44%             --           --        8.21%
Developing Growth           8/20/97                 --            --      13.14%             --           --        7.91%
</TABLE>

<TABLE>
<CAPTION>
PART 1       LORD ABBETT SERIES FUND, INC.
             AVERAGE ANNUAL TOTAL RETURN FOR THE PERIODS ENDED 6/30/98

                                                                 Accumulation
                                                  Column A       Unit Performance
                                                 (reflects                               Column B
                                                 insurance                              (reflects
                                                 charges and                             all charges
                         Separate Account        portfolio                               and portfolio
                         Inception Date          expenses)                               expenses)
Portfolio                in Portfolio            1 yr          5 yrs     since           1 yr         5 yrs      since
- -----------------        ----------------        ----------    --------  -------------   ----------   ---------  ----------
                                                                         inception                               inception
                                                                         -------------                           ----------
<S>                         <C>   <C>              <C>         <C>         <C>           <C>          <C>        <C>   
Growth and Income           12/11/89               15.78%      16.73%      15.24%        10.66%       16.12%     15.12%
</TABLE>


<TABLE>
<CAPTION>
PART 1      GENERAL AMERICAN CAPITAL COMPANY
            AVERAGE ANNUAL TOTAL RETURN FOR THE PERIODS ENDED 6/30/98

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

<S>                          <C> <C>              <C>                <C>            <C>            <C>  
Money Market                 6/3/96               4.30%              4.20%         -0.81%          1.95%
</TABLE>

PART 2

Shares of the General  American  Capital  Company  Money  Market Fund were first
offered under the Contract on June 3, 1996.  However,  the Money Market Fund has
been in existence  for some time and  therefore  has an  investment  performance
history.  In order to show how  investment  performance of the Money Market Fund
affects accumulation unit values, we have developed performance information.

The chart below shows the  investment  performance  of the Money Market Fund and
the accumulation unit performance calculated by assuming that accumulation units
were invested in the Money Market Fund for the same periods.

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


<TABLE>
<CAPTION>
PART 2   GENERAL AMERICAN CAPITAL COMPANY MONEY MARKET FUND
         AVERAGE ANNUAL TOTAL RETURN FOR THE PERIODS ENDED 6/30/98

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

<S>                 <C>  <C>      <C>       <C>        <C>        <C>       <C>            <C>            <C>      <C>       <C>  
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-4116 (10/98)



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