Subcontract with Task Orders which POP takes presidence

I have a T&M subcontract with Task Oders associated with it that ends 9/30/09. My director wants me to issue a task order against it with a period of performance through 12/31/09. At this company we work that if there are not any options, the period of performance can not be extended and when the subcontract ends, it ends.

I am of the opinion that given those criteria, i can not issue a task order which extends past the period of performance of the overall subcontract. I think of the basic subcontract as an over reaching unbrella and the task orders as little items which have to stay within the boundries of the basic. Please let me know if my consept is correct. thanks (i want evidence in order to let my director know that he is incorrect).

Nancy