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 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...

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...

This paper presents an equilibrium model in a pure exchange economywhen investors have three possible sources of heterogeneity. Investorsmay differ in their beliefs, in their level of risk aversion andin their time preference rate. We study the impact of investors heterogeneityon equilibrium...

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 solve the problem of optimal securitization for an issuer facing heterogeneous investorswith arbitrary time and risk preferences. We show that the optimal securitizationis characterized by multiple nonlinear tranches, and each investor gets a portfolio of thesetranches. In particular, when...

We calculate learning rates when agents are informed through both public andprivate observation of other agents’ actions. We provide an explicit solution forthe evolution of the distribution of posterior beliefs. When the private learningchannel is present, we show that convergence of the...

A random variable dominates another random variable with respectto the covariance order if the covariance of any two monotone increasingfunctions of this variable is smaller. We characterize completely thecovariance order, give strong sufficient conditions for it, present a numberof examples in...

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 for any incomplete market and any concave utilityfunction the marginal propensities to consume and to save are alwayspositive. Furthermore, we introduce a class of incomplete markets thatincludes almost all well known examples of market incompleteness infinance and macroeconomics....