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 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...