EXHIBIT 31.1



CERTIFICATION



I, Kenneth A. Shewer, Chief Executive Officer of Preferred Investment Solutions Corp., the Managing Owner of World Monitor Trust  Series B, do hereby certify that:



| | 1. | I have reviewed this annual report on Form 10-K of World Monitor Trust  Series B (Series B);
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| | 2. | Based on my knowledge, this annual report does not contain any untrue statement of a material fact or omit to state a material fact necessary to made the statements made, in light
of the circumstances under which such statements were made, not misleading with respect to the period covered by this annual report;
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| | 3. | Based on my knowledge, the financial statements, and other financial information included in this annual report, fairly present in all material respects the financial condition,
results of operations and cash flows of Series B as of, and for, the periods presented in this annual report;
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| | 4. | Series Bs other certifying officers and I are responsible for establishing and maintaining disclosure controls and procedures (as defined in Exchange Act Rules 13a-15(e) and
15d-15(e)) for Series B and we have:
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| | a) | designed such disclosure controls and procedures, or caused such disclosure controls and procedures to be designed under our supervision, to ensure that material information
relating to Series B, including its consolidated subsidiaries, is made known to us by others within those entities, particularly during the period in which this annual report is being prepared;
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| | b) | evaluated the effectiveness of Series Bs disclosure controls and procedures and presented in this report our conclusions about the effectiveness of the disclosure controls and
procedures, as of the end of the period covered by this report based on such evaluation; and
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| | c) | disclosed in this report any change in Series Bs internal control over financial reporting that occurred during Series Bs most recent fiscal quarter (Series Bs
fourth quarter in the case of an annual report) that has materially affected, or is reasonably likely to materially affect, Series Bs internal control over financial reporting; and
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| | 5. | Series Bs other certifying officers and I have disclosed, based on our most recent evaluation of internal control over financial reporting, to Series Bs auditors and the
audit committee of Series Bs board of directors (or persons performing the equivalent function):
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| | a) | all significant deficiencies and material weaknesses in the design or operation of internal control over financial reporting which are reasonably likely to adversely affect Series
Bs ability to record, process, summarize and report financial information; and
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| | b) | any fraud, whether or not material, that involves management or other employees who have a significant role in Series Bs internal control over financial reporting.
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|                     |  |                        
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|Date: March 30, 2005 |  | /s/ Kenneth A. Shewer  
|                     |  | Kenneth A. Shewer      
|                     |  | Chief Executive Officer