RT Report T1 Vintage capital and the dynamics of the AK model A1 Boucekkine, Raouf A1 Licandro, Omar A1 Puch, Luis A. A1 Rio, Fernando del AB This paper 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 interest for the general resolution of endogenous growth models with vintage capital. AB En este artículo se analiza la dinámica de un 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, entre 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. PB Facultad de Ciencias Económicas y Empresariales. Instituto de Análisis Económico (ICAE) YR 2000 FD 2000 LK https://hdl.handle.net/20.500.14352/64230 UL https://hdl.handle.net/20.500.14352/64230 LA eng NO [1] P. Aghion and P. Howitt (1994), "Growth and unemployment," Review of Economic Studies 61, 477-494.[2] K. Arrow (1962), "The economic implications of learning by doing," Review of Economic Studies 29, 155-173.[3] R. Bellman and K. Cooke (1963), Differential-Difference Equations. Academic Press.[4] J. Benhabib and A. Rustichini (1991), "Vintage capital, investment and growth," Journal of Economic Theory 55, 323-339.[5] R. Boucekkine, M. Germain and O. Licandro (1997), "Replacement echoes in the vintage capital grouth model", Journal of Economic Theory 74, 333-348.[6] R. Boucekkine, M. Germain, O. Licandro and A. Magnus (1999), "Numerical solution by iterative methods of a class of vintage capital models," Journal of Economic Dynamics and Contol, forthcoming.[7] E. Denison (1964), "The unimportance of the embodied question," American Economic Review Papers and Proceedings 54, 90-94.[8] K. Engelborghs and D. Roose (1999), "Numerical computation of stability and detection of Hopf bifurcations of steady state solutions of delay differential equatiom," Advances in Computational Mathematics, 10, 271-289.[9] J. Greenwood, Z. Hercowitz and P. Krusell (1998), "Lung-run implications of investment-specific technological change," American Economic Review 87, 342-362.[10] J. Greenwood and B. Jovanovic (1998), "Accounting for growth," NBER WP 6647.[11] J. Hale (1977), Theory of Functional Differential Equations Springer-Verlag.[12] C. Jones (1995), "Time series tests of endogenous growth models", Quarterly Journal of Economics 110, 495-525.[13] D.G. Luenberger (1973), Introduction to Linear and Nonlinear Programming. Addison-Wesley.[14] E. McGrattan (1998), "A defense of AK growth models," Quarterly Review of the Federal Reserve Bank of Minneapolis Fall 1998.[15] S. Parente (1994), "Technology adoption, learning by doing, and economic growth," Journal of Economic Theory 63, 346-369.[16] R. Solow (1960), "Investment and Technological Progress" in K. J. Arrow, S. Karlin and P. Suppes, eds., Mathematical Methods in the Social Sciences 1959, Stanford CA, Stanford University Press. DS Docta Complutense RD 8 may 2024