Abstract
In this paper we use a continuous-time general equilibrium model to analyze the problem of evaluating new irreversible investment opportunities that take the form of technological changes. Being a new technology, by definition, not perfectly correlated with the existing ones, the traditional spanning assumption invoked by the Real Option literature is not applicable in this context and a general equilibrium approach provides a more suitable framework. We analyze the problem of optimal consumption and investment of the representative individual in the context of the Cox Ingersoll and Ross (1895) model. We characterize the solution of the model under different assumptions about the utility function of the representative individual and about the parameters describing the technologies in the economy. A major result obtained from the model is the possibility of jumps in the equilibrium rate of return at the time in which technological changes are implemented. This is particularly interesting considering the fact that such jumps are obtained endogenously from the solution of the optimization problem and not imposed by “ad hoc” assumptions on the evolution of some variables.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Rivista di Matematica per le Scienze Economiche e Sociali
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
