Temporal Aggregation in a Multi-Sector Economy With Endogenous Growth

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We provide a theoretical treatment of temporal aggregation in models that exhibit long-term endogenously-generated steady growth; hence generalizing our previous analysis (Econometrica 62, 1994, pp. 635–56). We introduce the property of steady-growth invariance—that the long-term growth of the continuous-time economy not be affected by the discretization—which imposes consistency restrictions on the joint formulation of preferences and stock accumulation of the discrete-time approximation. We establish, under mild conditions, these restrictions in the form of necessary and sufficient conditions on the discretization.