Feasibility and Optimality of the Initial Capital Stock in the Ramsey Vintage Capital Model

Franklin Gamboa and Wilfredo Maldonado ()

CAMA Working Papers from Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University

Abstract: Using a discrete version of the Ramsey Vintage Capital Model we provide a characterization of the initial capital stocks compatible with a predefined scrapping time and a level of technical progress which generate feasible capital paths. From that characterization, it is proved that for a given level of technological progress there exists a minimum scrapping time for the machines which allows a sustainable growth path. Moreover, we reduce the infinite horizon dynamic programming problem to one of finite dimension and we show how this reduction allows us to find the optimal structure of the initial capital stock as well as the optimal scrapping time. A numerical example shows that, in accordance with the infinite horizon approach, the greater the technological progress, the lower the optimal scrapping time.

Keywords: Vintage capital; technological innovation; dynamic programming. (search for similar items in EconPapers)
JEL-codes: C61 E22 O33 (search for similar items in EconPapers)
Pages: 14 pages
Date: 2013-06
New Economics Papers: this item is included in nep-dge
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Related works:
Journal Article: Feasibility and optimality of the initial capital stock in the Ramsey vintage capital model (2014)
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Persistent link: https://EconPapers.repec.org/RePEc:een:camaaa:2013-38

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