In this paper, we solve in closed-form for the optimal investment strategies in both equity derivatives and VIX derivatives in a stochastic volatility model with jumps. This is motivated by the recent developments of the VIX derivatives market, and the increasing adoption of VIX derivatives in...

In this paper we study a conditional version of the Wang transform in the context of discrete GARCH models and their diffusion limits. Our first contribution shows that the conditional Wang transform and Duan's generalized local risk-neutral valuation relationship based on equilibrium...

In this paper, we derive fully explicit closed-form expressions for the fair strike prices of discrete-time variance swaps under general affine GARCH type models that have been risk-neutralized with a family of variance dependent pricing kernels. The methodology relies on solving differential...