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 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 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...

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...

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, 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...