We study the fair strike of a discrete variance swap for a general time-homogeneous stochastic volatility model. In the special cases of Heston, Hull--White and Schöbel--Zhu stochastic volatility models, we give simple explicit expressions (improving Broadie and Jain (2008a). The effect of...

In standard portfolio theories such as Mean-Variance optimization, expected utility theory, rank dependent utility heory, Yaari's dual theory and cumulative prospect theory, the worst outcomes for optimal strategies occur when the market declines (e.g. during crises), which is at odds with the...

This paper solves an optimal insurance design problem in which both the insurer and the insured are subject to Knightian uncertainty about the loss distribution. The Knightian uncertainty is modeled in a multi-prior g-expectation framework. We obtain an endogenous characterization of the optimal...