We study survival, price impact and portfolio impact in heterogeneouseconomies. We show that, under the equilibrium risk-neutral measure,long-run price impact is in fact equivalent to survival, whereas longrunportfolio impact is equivalent to survival under an agent-specic,wealth-forward...

We provide a representation for the nonmyopic optimal portfolio of an agentconsuming only at the terminal horizon when the single state variable follows ageneral diusion process and the market consists of one risky asset and a risk-freeasset. The key term of our representation is a new object...

We study the existence of dynamic equilibria with endogenously complete markets incontinuous-time, heterogenous agents economies driven by diusion processes. Ourmain results show that under appropriate conditions on the transition density ofthe state variables, market completeness can be deduced...

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 derive representations for the stock price drift and volatility in theequilibrium of agents with arbitrary, heterogeneous utility functionsand with the aggregate dividend following an arbitrary Markov diffusion.We introduce a new, intrinsic characteristic of the aggregate dividendprocess that...

We consider a simple continuous-time economy, populated by a largenumber of agents, more risk averse than the log agent, with heterogeneousrisk aversion densely covering an interval. Even though thedividend is a geometric Brownian motion, the equilibrium investmentopportunity set is stochastic...

In all the existing literature on survival in heterogeneous economies,the rate at which an agent vanishes in the long run relative to anotheragent can be characterized by the difference of the so-called survivalindices, where each survival index only depends on the preferencesof the...

We perform a detailed asymptotic analysis of the equilibrium behavior of the assetprices, wealth size and portfolio weights in complete markets equilibria, with long-livedfunds. In equilibrium, the fund with the (closest to) log preference will dominate theother funds in size, in the long-run,...

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...