KEMPER HORIZON FUND
485BPOS, EX-99.I, 2000-11-30
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                                                                     Exhibit (i)

                                             November 20, 2000

Kemper Horizon Fund
222 South Riverside Plaza
Chicago, Illinois 60606

Ladies and Gentlemen:

         Reference is made to Post-Effective Amendment No. 7 to the Registration
Statement  on Form N-lA under the  Securities  Act of 1933 being filed by Kemper
Horizon Fund (the "Fund") in  connection  with the public  offering from time to
time of units of beneficial  interest,  no par value  ("Shares"),  in the Kemper
Horizon  20+  Portfolio,  Kemper  Horizon  10+  Portfolio  and Kemper  Horizon 5
Portfolio (each, a "Portfolio" and collectively, the "Portfolios").

         We have acted as counsel to the Fund, and in such capacity are familiar
with the Fund's organization and have counseled the Fund regarding various legal
matters. We have examined such Fund records and other documents and certificates
as we have considered necessary or appropriate for the purposes of this opinion.
In our  examination of such  materials,  we have assumed the  genuineness of all
signatures and the conformity to original  documents of all copies  submitted to
us.

         Based upon the  foregoing  and assuming  that the Fund's  Agreement and
Declaration  of Trust dated June 12,  1995 as amended by the Written  Instrument
Amending the Agreement and Declaration of Trust dated September 7, 1995, and the
Written Instrument Changing the Name of the Existing Series and Establishing and
Designating  Two  Additional   Series  dated  September  8,  1995,  the  Written
Instrument  Establishing  and  Designating  Separate  Classes  of  Shares  dated
September  16, 1995,  the Written  Instrument  Changing the Name of the Existing
Series,  dated November 10, 1995 and the Amended and Restated Written Instrument
Establishing and Designating  Separate Classes of Shares dated March 6, 1996 and
the By-Laws of the Fund adopted  September 16, 1995, are presently in full force
and effect and have not been  amended in any  respect  and that the  resolutions
adopted by the Board of Trustees of the Fund on September 16, 1995, November 10,
1995 and March 6, 1996 relating to organizational  matters,  securities  matters
and the  issuance of shares are  presently in full force and effect and have not
been  amended  in any  respect,  we advise  you and opine that (a) the Fund is a
validly existing voluntary  association with transferrable shares under the laws
of the  Commonwealth  of  Massachusetts  and is authorized to issue an unlimited
number of Shares in the  Portfolios;  and (b)  presently  and upon such  further
issuance of the Shares in accordance with the


<PAGE>




VEDDER PRICE

Kemper Horizon Fund
November 20, 2000
Page 2

Fund's  Agreement  and  Declaration  of Trust and the  receipt  by the Fund of a
purchase  price  not less  than  the net  asset  value  per  Share  and when the
pertinent  provisions  of the  Securities  Act of 1933 and such  "blue-sky"  and
securities  laws as may be applicable have been complied with, and assuming that
the Fund continues to validly exist as provided in (a) above, the Shares are and
will be legally issued and outstanding, fully paid and nonassessable.

         The Fund is an entity of the type  commonly  known as a  "Massachusetts
business trust." Under  Massachusetts  law,  shareholders  could,  under certain
circumstances,  be held personally liable for the obligations of the Fund or the
Portfolios.   However,   the  Agreement  and   Declaration  of  Trust  disclaims
shareholder  liability for acts and  obligations  of the Fund or a Portfolio and
requires that notice of such disclaimer be given in each note,  bond,  contract,
instrument,  certificate  share or undertaking made or issued by the Trustees or
officers of the Fund.  The  Agreement  and  Declaration  of Trust  provides  for
indemnification  out of the property of the  Portfolios for all loss and expense
of any shareholder of that Portfolio held personally  liable for the obligations
of such Portfolio.  Thus, the risk of liability is limited to  circumstances  in
which the Portfolios would be unable to meet its obligations.

         This opinion is solely for the benefit of the Fund, the Fund's Board of
Trustees and the Fund's  officers and may not be relied upon by any other person
without our prior written consent.  We hereby consent to the use of this opinion
in connection with said Post-Effective Amendment.

                                        Very truly yours,

                                        /s/VEDDER, PRICE, KAUFMAN & KAMMHOLZ

                                        VEDDER, PRICE, KAUFMAN & KAMMHOLZ


COK/DAS


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