Exhibit 32.2

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

The undersigned, Maureen D. Howley, Senior Vice President and Chief Financial
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 March 31,
      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/ Maureen D. Howley
-----------------------------------------------------------
Maureen D. Howley
Senior Vice President and Chief Financial Officer  of
Preferred Investment Solutions Corp., the Managing Owner of
World Monitor Trust III
May 16, 2005







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