Exhibit 32.1

                           CERTIFICATION PURSUANT TO
                            18 U.S.C. SECTION 1350
                            AS ADOPTED PURSUANT TO
                 SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002


The undersigned, Kenneth A. Shewer, Co-Chief Executive Officer of the Managing
Owner, Preferred Investment Solutions Corp. (the "Managing Owner"), of World
Monitor Trust III ("the Trust"), hereby certifies pursuant to 18 U.S.C. 1350,
as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that:

     (1)  The Trust's Quarterly Report on Form 10-Q for the period ended June
          30, 2005, as filed with the Securities and Exchange Commission on
          the date hereof (the "Quarterly Report"), fully complies with the
          requirements of Section 13(a) or 15(d) of the Securities Exchange
          Act of 1934; and

     (2)  The information contained in the Quarterly Report fairly presents,
          in all material respects, the financial condition and results of
          operations of the Trust.




/s/ Kenneth A. Shewer
- -------------------------------------------
Kenneth A. Shewer
Co-Chief Executive Officer
August 12, 2005



                                      E-4