a mixture stochastic volatility model providing a tractable method for capturing certain market characteristics. To … estimate the parameter of a mixture stochastic volatility model, we first use the Expectation-Maximisation (EM) algorithm. The …

We introduce a notion of volatility uncertainty in discrete time and define the corresponding analogue of Pengs G … as a Donsker-type result for the G-Brownian motion. G-expectation, volatility uncertainty, weak limit theorem …

This paper examines how volatility positions can be optimally constructed by modeling the selection process as a linear … parameters to be applied in the optimization process for robust position risk management. We use implied volatility decreases …) events to construct a linear system where feasible solutions represent an investor’s optimal volatility position. Significant …