Optimal growth and the golden rule in a two-sector model of capital accumulation

Pré-publication, Document de travail: We contribute to the literature on optimal growth in two-sector models by solving a Ram- sey problem with a concave utility function. The unique possible steady-state is independent of initial conditions and of the instantaneous utility function, but not of the discount rate, and is characterized by a wage-rental ratio depending solely on the technology of the capital sector. For an initially low-capital economy, we show that the wage-rental ratio increasingly converges to its balanced value during transition. If the consumption sector is relatively capital-intensive, the relative price of capital increases during transition. If the investment sector is relatively more capital-intensive, it decreases. We also prove that a negative shock on the subjective rate of impatience, that makes the social planner more patient, leads to an immediate positive jump in asset prices.

Auteur(s)

Mehdi Senouci

Date de publication
  • 2011
Mots-clés JEL
C61 C62 E13 E21 E22 O11 O41
Mots-clés
  • Capital accumulation
  • Optimal growth
  • Golden rule
  • Two-sector models
Référence interne
  • PSE Working Papers n°2011-09
Version
  • 1