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 deal with the global distribution of capital and output across time. We supply empirical support to model it as a partial differential equation, if the support of the distribution is related to an initial ranking of the economies. If we consider a distributional extension of the...

This paper analyzes global dynamics in an overlapping generations general equilibrium model with housing-wealth effects. It demonstrates that monetary policy cannot burst rational bubbles in the housing market. Under monetary policy rules of the Taylor-type, there exist global self-fulfilling...