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...

We develop a real-options model for optimizing production and sourcing choices under evolutionary supply-chain risk. We model lead time as an endogenous decision and calculate the cost differential required to compensate for the risk exposure coming from lead time. The shape of the resulting...

We study the implications of credit market frictions for the dynamics of corporate capital structure and the risk of default of corporations. To do so, we develop a dynamic capital structure model in which firms face uncertainty regarding their ability to raise funds in credit markets and have...

We develop a model of real investment and cash holdings in which firms face uncertaintyregarding their ability to raise funds in the capital markets and have to search for investorswhen raising outside capital. We provide an explicit characterization of the optimal investment,cash management,...

Under the real options approach to investment under uncertainty, agents formulate optimal policies under the assumption that firms’ growth prospects do not vary over time. This paper proposes and solves a model of investment decisions in which the growth rate and volatility of the decision...