KEMPER HIGH YIELD SERIES
497J, 1998-05-05
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<PAGE>   1
SCUDDER KEMPER INVESTMENTS, INC.
222 South Riverside Plaza
Chicago, Illinois 60606
312-537-7000


                            May 5, 1998

Transmitted Via EDGAR


Securities and Exchange Commission
Judiciary Plaza 
450 Fifth Street, N.W.
Washington, DC 20549-1004
Attn: Filing Desk, Stop 1 - 4

RE:   Kemper High Yield Series
      File No. 2-60330 (Post-Effective Amendment No. 34)
      File No. 811-2786 (Amendment No. 34)

Dear Sir or Madam,

Kemper High Yield Series (the "Registrant") hereby certifies, pursuant to Rule
497(j) of the Securities Act of 1933, that (i) the form of prospectus and
Statement of Additional Information that would have filed under paragraph (c)
of Rule 497 would not have differed from that contained in the
above-referenced, most recently filed amendment to the registration statement
of the Registrant (the "Amendment"), and (ii) the text of the Amendment has
been filed electronically.


                                                  Kemper High Yield Series
                                                  
                                                  By: /s/ Phillip J. Collora
                                                     ---------------------------
                                                     Phillip J. Collora
                                                     Vice President, Secretary
                                                     and Treasurer


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