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 study utility indifference pricing of claim streams with intertemporalconsumption and power (CRRA) utilities. We derive explicit formulasfor the derivatives of the utility indifference price with respect toclaims and wealth. The simple structure of these formulas is a reflectionof surprising...

We analyze an equilibrium model in which agents exposed to idiosyncraticrisk can purchase insurance policies in addition to financialassets. The price of an insurance contract depends nonlinearly on theclaims and explicitly contains safety loadings, proportional to variance.We consider random...

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...