The risk-return trade-off being the very substance of finance, volatility has always been an essential parameter for portfolio management. Moreover, the generalization of the use of derivatives has placed in the forefront the concept of volatility risk: i.e. the model risk generated by treating...

It is well-known that Gaussian hedging strategies are robust in the sense that they always lead to a cost process of bounded variation and that a superhedge is possible if upper bounds on the volatility of the relevant processes are available, cf. El Karoui, Jeanblanc-Picque and Shreve (1998)...