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 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 backward stochastic dierential equations (BSDEs) witha particular quadratic generator and study the behaviour of their solu-tions when the probability measure is changed, the ltration is shrunk,or the underlying probability space is transformed.[...]

We solve for the equilibrium dynamics of information sharing in a large pop-ulation. Each agent is endowed with signals regarding the likely outcome of arandom variable of common concern. Individuals choose the effort with whichthey search for others from whom they can gather additional...

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...

A large literature studies the predictability of stock returns by other lagged nancialvariables in a predictive regression setting. A common feature of widely used testingprocedures is a failing robustness, which may lead to misleading conclusions determinedby the particular features of a small...

We introduce a new class of flexible and tractable matrix a±ne jump-diffusions (AJD) to modelmultivariate sources of financial risk. We first provide a complete transform analysis of this model class,which opens a range of new potential applications to, e.g., multivariate option pricing with...

This paper analyzes the relation between correlation risk and the cross-section of hedge fund returns.Legal framework and investment mandate imply that hedge funds can be severely exposed tocorrelation risk: Hedge funds ability to enter long-short positions can be useful to reduce marketbeta,...

In a Lucas orchard with heterogeneous beliefs, we study the link between market-wide uncertainty, difference of opinionsand co-movement of stock returns. We show that this link plays an important role in explaining the dynamics of equilibriumvolatility and correlation risk premia. In our...