the pricing of European-style foreign currency options and for the volatility strike structure implicit in these contracts … is devoloped. The curvature of the volatility strike structure is explained by focusing attention on the expected … characteristic convex shape of volatility strike structures documented in the empirical literature. A volatility-based test for …

When analysing the volatility related to high frequency financial data, mostly non-parametric approaches based on … stochastic volatility. Estimation of the model delivers measures of daily variation outperforming their non …

We introduce a statistical test for simultaneous jumps in the price of a financial asset and its volatility process … volatility jumps, we design and analyze a nonparametric spectral estimator of the spot volatility process. A simulation study and … important role played by price volatility co-jumps. …