We provide a theoretical treatment of temporal aggregation in models that e
xhibit long-term endogenously generated steady growth; hence generalizing o
ur previous analysis [Econometrica 62 (1994), 635-656]. We introduce the pr
operty of steady growth invariance - that the long-term growth of the conti
nuous-time economy not be affected by the discretization - which imposes co
nsistency restrictions on the joint formulation of preferences acid stock a
ccumulation of the discrete-time approximation. We establish, under mild co
nditions, these restrictions in the form of necessary and sufficient condit
ions on the discretization. (C) 2001 Elsevier Science B.V. All rights reser
ved.