Raouf BOUCEKKINE (UNIVERSITE CATHOLIQUE DE LOUVAIN, Institut de Recherches Economiques et Sociales (IRES)) Giorgio FABBRI (UNIVERSITA DI NAPOLI, Dipartimento di Studi Economici, ÒParthenopeÓ) Fausto GOZZI (UNIVERSITA LUISS-GUIDO CARLI ROME, Dipartimento di Scienze Economiche ed Aziendali)
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A benchmark AK optimal growth model with maintenance expenditures and endogeneous utilization of capital is considered within an explicit vintage capital framework. Scrapping is endogenous, and the model allows for a clean distinction between age and usage dependent capital depreciation and obsolescence. It is also shown that in this set-up past investment profile completely determines the size of current maintenance expenditures. Among other findings, a closed-form solution to optimal dynamics is provided taking advantage of very recent development in optimal control of infinite dimensional systems. More importantly, and in contrast to the pre-existing literature, we study investment and maintenance co-movements without any postulated ad-hoc depreciation function. In particular, we find that optimal investment and maintenance do move together in the short-run in response to neutral technological shocks, which seems to be more consistent with the data
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