KEMPER NATIONAL TAX FREE INCOME SERIES
485BPOS, EX-99.I, 2000-12-29
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                                                                     Exhibit (i)

[VEDDER PRICE LETTERHEAD]

                             December 18, 2000



Kemper National Tax-Free Income Series
222 South Riverside Plaza
Chicago, Illinois 60606

Ladies and Gentlemen:

         Reference  is  made  to   Post-Effective   Amendment   No.  50  to  the
Registration Statement on Form N-1A under the Securities Act of 1933 being filed
by Kemper  National  Tax-Free  Income Series (the "Fund") in connection with the
public offering from time to time of units of beneficial interest,  no par value
("Shares"),  in the Kemper Municipal Bond Fund and Kemper Intermediate Municipal
Bond Fund (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  Amended  and
Restated  Agreement  and  Declaration  of Trust dated May 27, 1994,  the Written
Instrument Establishing and Designating Separate Classes of Shares dated May 27,
1994, the Written Instrument  Establishing and Designating  Kemper  Intermediate
Municipal Bond Fund dated October 13, 1994, the Written Instrument  Changing the
Name of a Series dated  November 1, 1994,  the Written  Instrument  Amending the
Agreement and  Declaration  of Trust dated November 1, 1994, and the Amended and
Restated Written  Instrument  Establishing  and Designating  Separate Classes of
Shares dated March 9, 1996 and the By-Laws of the Fund adopted January 28, 1986,
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 January
28, 1986,  January 14, 1994, March 4 and 5, 1994, July 13, 1994, and March 8 and
9, 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 Fund's  Agreement and Declaration of Trust and
the  receipt by the Fund of a purchase  price not less than


<PAGE>

VEDDER PRICE

December 18, 2000
Page 2


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 a
Portfolio. 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 a Portfolio  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 a Portfolio
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
DAS/RJM


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