Using ideas and methods from system and control theory we review some
recent results concering the following two problems: When is a given f
inite-dimensional submanifold invariant under the action of the dynami
cs of an interest rate model? When does there exist a finite-dimension
al realisation of the input-output map generated by a forward rate mod
el? (C) 1998 Elsevier Science B.V. All rights reserved.