ABSTRAeTThis papel' analyzes the equilibrium dynamics of an AK-type endogenous growth model with vintage capital. The inclusion of vintage capital leads to oscillatory dynamics governed by replacement echoes, which additionally influence the intercept of the balanced growth path. These features, which are in sharp contrast to those from the standard AK model, can contribute to explaining the short-run deviations observed bctween investment and growth rates time series. To characterize the convergence properties and the dynamics of the model we develop analytical and numencaJ rnethods that should be of ¡nterest fOl the general resolution of endogenous growth models with vintage capital.
RESUMENEn este artículo se analiza la dinámica de uu modelo de crecimiento endógeno de la clase AK en presencia de cosechas de capital (vintage capital). La inclusión en el modelo de una estructura vintage da lugar a una dinámica oscilatoria, vinculada a lo que se conoce como ecos de reemplazo, los cuales a su vez tienen efectos sobre el nivel de la senda de crecimiento equilibrado. Esta propiedad contrasta marcadamente con el comportamiento del modelo AK estándar, y puede contribuir a explicar las desviaciones a corto plazo, que se observan en los datos, ent.re las tasas de inversión y las tasas de crecimiento. Para caracterizar las propiedades de convergencia y la dinámica del modelo se desarrollan métodos analíticos y numéricos que son de interés para la resolución de modelos de crecimiento endógeno con cosechas de capital.
The productivity slowdown in the US economy since the first oil shock has recently been associated with a larger decline rate of the relative price of equipment investment and a smaller rate of disembodied technical change. We set up a growth model in which learning-by-doing is the engine of both embodied and disembodied technological progress. A shift in the relative efficiency of learning-by-doing from the consumption to the investment sector is shown to imply a technological reassignment consistent with the above-mentioned evidence. This result derives from the interaction between the obsolescence costs inherent in embodiment and the learning-by-doing engine.
We construct a vintage capital model à la Whelan (2002) with both exogenous embodied and disembodied technical progress, and variable utilization of each vintage. The lifetime of capital goods is endogenous and it relies on the associated maintenance costs. We study the properties of the balanced growth paths. First, we show that the lifetime of capital is an increasing (resp. decreasing) function of the rate of disembodied (resp. embodied) technical progress. Second, we show that both the use-related depreciation rate and the scrapping rate increase when embodied technical progress accelerates. However, the latter drops when disembodied technical progress accelerates while the former remains unaffected. A key feature of our model is that the age-related depreciation rate does depend on the obsolescence rate in sharp contrast to the neoclassical model.
In this paper, an endogenous growth model is built up incorporating Schumpeterian creative destruction and embodied technological progress. Under embodiment, long run growth is affected by two opposite effects: (i) obsolescence costs add to the user cost of capital, which have a negative effect on research efforts; and (ii) the modernization of capital increases the demand for investment goods, raising the incentives to undertake research activities. Applied to the understanding of the growth enhancing role of both capital and R&D subsidies, we conclude that the positive effect of modernization generally more than compensates the negative effect of obsolescence. D
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