We describe a robust calibration algorithm of a set of SSVI maturity slices (i.e. a set of 3 SSVI parameters θ t , ρ t , ϕ t attached to each option maturity t available on the market), which grants that these slices are free of Butterfly and of Calendar-Spread arbitrage. Given such a set of consistent SSVI parameters, we show that the most natural interpolation/extrapolation of the parameters provides a full continuous volatility surface free of arbitrage. The numerical implementation is straightforward, robust and quick, yielding an effective and parsimonious solution to the smile problem, which has the potential to become a benchmark one.We thank Antoine Jacquier and Stefano De Marco for useful discussions and remarks. All remaining errors are ours.
In this work, inspired by the Archer-Mouy-Selmi approach ([2]), we present two methodologies for scoring the stress test scenarios used by CCPs for sizing their Default Funds. These methodologies can be used by risk managers to compare different sets of scenarios and could be particularly useful when evaluating the relevance of adding new scenarios to a pre-existing set.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.