This paper introduces state dependent utility into the standard Mehra and Prescott (1985) economy by allowing the representative agents coefficient of relative risk aversion to vary with the underlying economys growth rate. Existence of equilibrium is proved and its asymptotic properties...

We extend the Lucas asset pricing tree economy to a heterogeneous population.Perturbative methods are applied to explicitly calculate the secondorder response of asset returns to heterogeneity. We discover thatthere exists a unique "best homogeneous approximation" to a weakly...

We develop a method that allows one to compute incomplete-market equilibria routinely forMarkovian equilibria (when they exist). The main difficulty to be overcome arises from the setof state variables. There are, of course, exogenous state variables driving the economy but, in anincomplete...

We prove that, in a heterogeneous economy with scale invariantutilities, the yield of a long term bond is determined by the agent with maximalexpected marginal utility.We also prove that the same result holds for the longterm forward rates.Furthermore, we apply Cramer’s large deviations...

We establish universal bounds for asset prices in heterogeneouscomplete market economies with scale invariant preferences. Namely, for eachagent in the economy we consider an artificial homogeneous economy, popu-lated solely by this agent and calculate the ”homogeneous” price of an asset...

We combine general equilibrium theory and théorie générale of stochastic processes to derive structural results about equilibrium state prices. -- General equilibrium ; Continuous-time finance ; Théorie générale of stochastic processes ; Asset pricing ; State prices

This interdisciplinary paper explains how mathematical techniques of stochastic optimal control can be applied to the recent subprime mortgage crisis. Why did the financial markets fail to anticipate the recent debt crisis, despite the large literature in mathematical finance concerning optimal...

A healthy financial system encourages the efficient allocation of capital and risk. The collapse of the house price bubble led to the financial crisis that started in 2007. There is a large empirical literature concerning the relation between asset price bubbles and financial crises. I evaluate...

We develop a method that allows one to compute incomplete-market equilibria routinely for Markovian equilibria (when they exist). The main difficulty to be overcome arises from the set of state variables. There are, of course, exogenous state variables driving the economy but, in an incomplete...

We consider nonparametric identification and estimation of pricing kernels, or equivalently of marginal utility functions up to scale, in consumption based asset pricing Euler equations. Ours is the first paper to prove nonparametric identification of Euler equations under low level conditions...