Motivated by the problems of the conventional model in rationalizing market data, we derive the equilibrium interest rate and risk premiums using recursive utility in a continuous time model. We consider the version of recursive utility which gives the most unambiguous separation of risk...

We study the recursive model of Epstein and Zin. We use directional derivatives to derive the model, and calibrate to the data of Mehra and Prescott (1985). By assuming that we can view income streams as dividends of some shadow asset, the model is valid if the market portfolio is expanded to...

We derive the equilibrium interest rate and risk premiums using recursive utility with heterogeneity in a continuous time model. We solve the associated sup-convolution problem, and obtain explicit closed form solutions. The heterogeneous two-agent model is calibrated to the data of Mehra and...

We study a rational expectations' competitive equilibrium in a production economy, i.e., a system of prices at which firms' profit maximizing production decisions and individuals' preferred affordable consumption choices equate supply and demand in every market. We derive the equilibrium price...

In this paper we consider a reinsurance syndicate, assuming that Pareto optimal allocations exist. Under a continuity assumption on preferences, we show that a competitive equilibrium exists and is unique. Our conditions allow for risks that are not bounded, and we show that the most standard...

In this paper we present an economic equilibrium analysis of a reinsurance market. The continuous-time model contains the principal components of uncertainty; about the time instants at which accidents take place, and about claim sizes given that accidents have occurred.We give sufficient...