SELIGMAN PORTFOLIOS INC/NY
497, 2000-03-28
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                        Supplement, dated March 28, 2000,
         to the Statement of Additional Information, dated May 1, 1999,
                      as supplemented on December 15, 1999,
                    of Seligman Portfolios, Inc. (the "Fund")


Effective  March 28, 2000, the following  section is added at the bottom of page
26 of the Fund's  Statement  of  Additional  Information  following  the section
entitled "Taxation of the Fund."


                         Calculation of Performance Data


From time to time the average  annual  total return and other total return data,
as  well  as  yield,  of one  or  more  of the  Portfolios  may be  included  in
advertisements  or  information  furnished  to present or  prospective  Contract
owners. Total return and yield figures are based on each Portfolio's  historical
performance and are not intended to indicate future performance.  Average annual
total return and yield are determined in accordance  with formulas  specified by
the SEC.

The average  annual total returns for each  Portfolio are computed by assuming a
hypothetical  initial  investment of $1,000 in the Portfolio,  and assuming that
all of the dividends and capital gain  distributions  paid by the Portfolio,  if
any, are  reinvested  over the relevant time period.  It is then assumed that at
the end of each period, the entire amount is redeemed.  The average annual total
return is then  calculated  by  calculating  the annual  rate  required  for the
initial  payment to grow to the amount which would have been  received upon such
redemption (i.e., the average annual compound rate of return).

Annualized  yield  quotations  (with  respect to  Seligman  Bond  Portfolio  and
Seligman  High-Yield Bond  Portfolio) are computed by dividing each  Portfolio's
net investment  income per share earned during the 30-day period by the offering
price per share on the last day of the  period.  Income is  computed by totaling
the dividends and interest earned on all portfolio investments during the 30-day
period and  subtracting  from that  amount the total of all  recurring  expenses
incurred  during  the  period.   The  30-day  yield  is  then  annualized  on  a
bond-equivalent  basis assuming semi-annual  reinvestment and compounding of net
investment income. The annualized yield for the 30-day period ended December 31,
1998 for Seligman Bond  Portfolio  and Seligman  High-Yield  Bond  Portfolio was
5.48% and 10.81%,  respectively.  The average  number of shares of Seligman Bond
Portfolio and Seligman  High-Yield  Bond  Portfolio  was 675,183 and  2,600,820,
respectively,  which was the average daily number of shares  outstanding  during
the 30-day period that were eligible to receive dividends.  Yield quotations may
be of limited use for comparative  purposes  because they do not reflect charges
imposed at the Account level which, if included, would decrease the yield.

The average  annual total returns for each of the  Portfolios  (except  Seligman
Cash  Management  Portfolio  and  Seligman  Large-Cap  Growth  Portfolio,  which
commenced  operations on May 1, 1999) for the one-,  five- and ten-year  periods
ended  December 31, 1998 (or for the period the Portfolio has been in operation)
are  presented  below.  The  returns  for  periods of less than one year are not
annualized. The average annual total return quotations may be of limited use for
comparative  purposes because they do not reflect charges imposed at the Account
level which, if included, would decrease average annual total return.

<PAGE>




<TABLE>
<CAPTION>
                                                                             SEC Average Annual Returns
                                            Inception Date
                                       (if less than 10 years)    One Year          Five Years         Ten Years
<S>                                     <C>                      <C>                 <C>                 <C>
  Seligman Bond Portfolio                                           8.20%              6.33%             7.43%
  Seligman Capital Portfolio                                       22.19              15.54             15.98
  Seligman Common Stock Portfolio
                                                                   24.16              18.16             16.55
  Seligman Communications
       and Information Portfolio               10/11/94            36.49                                25.67*
  Seligman Frontier Portfolio                  10/11/94            (1.46)                               17.88*
  Seligman Global Growth Portfolio              05/1/96            21.60                                12.16*
  Seligman Global Smaller
      Companies Portfolio                      10/11/94             6.58                                11.60*
  Seligman Global Technology
      Portfolio                                 05/1/96            36.80                                22.02*
  Seligman International Growth
      Portfolio                                 05/3/93            15.81               8.67             10.20*
  Seligman High-Yield Bond Portfolio
                                                05/1/95             1.02                                10.25*
  Seligman Income Portfolio                                         7.76               7.77             10.29
  Seligman Large-Cap Value Portfolio
                                                05/1/98                                                  (0.26)*
  Seligman Small-Cap Value Portfolio
                                                05/1/98                                                 (17.00)*

* Since inception.

</TABLE>

The  current  yield  of  Seligman  Cash  Management  Portfolio  is  computed  by
determining  the net  change  exclusive  of  capital  changes  in the value of a
hypothetical  pre-existing  account having a balance of 1 share at the beginning
of a seven-day calendar period,  dividing the net change in account value by the
value of the account at the beginning of the period,  and multiplying the return
over the seven-day period by 365/7. For purposes of the calculation,  net change
in  account  value  reflects  the  value of  additional  shares  purchased  with
dividends  from the original  share and dividends  declared on both the original
share and any such  additional  shares,  but does not reflect  realized gains or
losses or unrealized  appreciation or depreciation.  Effective yield is computed
by annualizing the seven-day return with all dividends  reinvested in additional
Portfolio shares.

The  following  are  examples  of  the  yield  calculations  for  Seligman  Cash
Management  Portfolio for the seven-day  period ended  December 31, 1998.  Yield
quotations may be of limited use for  comparative  purposes  because they do not
reflect charges imposed at the Account level which, if included,  would decrease
the yield.

<PAGE>


<TABLE>
<S>                                                                                            <C>
Total dividends per share from net investment income
(seven days ended December 31, 1998)                                                            $0.000946

Annualized (365 day basis)                                                                       0.049327

Average net asset value per share                                                                1.000

Annualized historical net yield per share (seven
days ended December 31, 1998)*                                                                   4.93%

Effective yield (seven days ended December 31, 1998)**                                           5.04%

Weighted  average  life to maturity of  investments  was 60 days at December 31,
1998
______________
* This  represents the annualized  average net investment income per share for
the seven days  ended  December  31,  1998.
**  Annualized average of net investment income for the same period with
dividends reinvested.
</TABLE>

From time to time,  reference may be made in advertising or promotional material
to performance information,  including mutual fund rankings,  prepared by Lipper
Analytical Services,  Inc., an independent  reporting service which monitors the
performance of mutual funds. In calculating the total return of the Portfolio's,
the Lipper analysis assumes  investment of all dividends and distributions  paid
but does not take into account applicable sales charges. Each Portfolio may also
refer in  advertisements in other  promotional  material to articles,  comments,
listings  and  columns in the  financial  press  pertaining  to the  Portfolio's
performance.  Examples of such  financial and other press  publications  include
BARRON'S,  BUSINESS  WEEK,  CDA/WIESENBERGER  MUTUAL  FUNDS  INVESTMENT  REPORT,
CHRISTIAN SCIENCE MONITOR, FINANCIAL PLANNING, FINANCIAL TIMES, FINANCIAL WORLD,
FORBES,  FORTUNE,  INDIVIDUAL INVESTOR,  INVESTMENT ADVISOR,  INVESTORS BUSINESS
DAILY,  KIPLINGER'S,  LOS ANGELES  TIMES,  MONEY  MAGAZINE,  MORNINGSTAR,  INC.,
PENSION  AND  INVESTMENTS,  SMART  MONEY,  THE NEW YORK  TIMES,  THE WALL STREET
JOURNAL, USA TODAY, U.S. NEWS AND WORLD REPORT, WORTH MAGAZINE,  WASHINGTON POST
and YOUR MONEY.

A Portfolio's  advertising  or  promotional  material may make  reference to the
Portfolio's  "Beta,"  "Standard   Deviation,"  or  "Alpha."  Beta  measures  the
volatility of the Portfolio, as compared to that of the overall market. Standard
deviation  measures how widely the  Portfolio's  performance has varied from its
average  performance,  and is an  indicator  of the  Portfolio's  potential  for
volatility.  Alpha measures the difference  between the returns of the Portfolio
and the returns of the market, adjusted for volatility.




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