An extension to the Yaari (1965)-Blanchard (1985) continuous time overlapping generations model for an endowment Arrow-Debreu economy with an age-structured population is presented. It is proved that Arrow-Debreu equilibrium prices are represented by a double linear integral equation, and depend...

Purpose – The purpose of this paper is to present an arbitrarily accurate approximation for the value of European options written on a Black‐Scholes stock paying a discrete dividend. Design/methodology/approach – The proposed method is a computational method for the analytical solution of...

In this paper we consider the entry and exit of Örms in a dynamic general equilibrium model with capital. At the Örm level, there is a Öxed cost combined with increasing marginal cost, which gives a standard U-shaped cost curve with optimal Örm size. Entry is determined by a free entry...

We present conditions for the emergence of singularities in DGE models. We distinguish between slow-fast and impasse singularity types, review geometrical methods to deal with both types of singularity and apply them to DGE dynamics. We find that impasse singularities can generate new types of...