The Euler (or gradient) allocation technique defines a financial institution's marginal cost of a risk exposure via calculation of the gradient of a risk measure evaluated at the institution's current portfolio position. The technique, however, relies on an arbitrary selection of a risk measure....

We consider over-the-counter (OTC) transactions with bilateral default risk, and study the optimal design of the Credit Support Annex (CSA). In a setting where agents have access to a trading technology, default penalties and collateral costs arise endogenously as a result of foregone investment...

We develop a new framework for valuing health and longevity improvements that departs from conventional but unrealistic assumptions of full annuitization and deterministic health. Our framework can value the prevention of mortality and of illness, and it can quantify the effects of retirement...