In the spirit of Kyprianou and Ott (in Acta Appl. Math., to appear, <CitationRef CitationID="CR11">2013</CitationRef>) and Ott (in Ann. Appl. Probab. 23:2327–2356, <CitationRef CitationID="CR15">2013</CitationRef>) we consider an option whose payoff corresponds to a capped American lookback option with floating strike and solve the associated pricing problem (an optimal stopping...</citationref></citationref>

This paper focuses on numerical evaluation techniques related to fluctuation theory for Lévy processes; they can be applied in various domains, e.g., in finance in the pricing of so-called barrier options. More specifically, with $$\bar{X}_t:= \sup _{0\le s\le t} X_s$$ denoting the running...

In this paper we investigate dependence properties and comparison results for multidimensional Lévy processes. In particular we address the questions, whether or not dependence properties and orderings of the copulas of the distributions of a Lévy process can be characterized by corresponding...

Portfolio insurance allows investors to recover at maturity a given percentage of their initial investment, whatever financial market evolu- tions. This portfolio insurance strategy limits downside risk in falling markets, while it allows potential benefits in rising markets. We analyze this...

In this paper we study how an inner product derived from an Uvarov transformation of the Laguerre weight function is used in the orthogonalization procedure of a sequence of martingales related to a Levy process. The orthogonalization is done by isometry. The resulting set of pairwise strongly...

We study a reaction–diffusion evolution equation perturbed by a space–time Lévy noise. The associated Kolmogorov operator is the sum of the infinitesimal generator of a C0-semigroup of strictly negative type acting on a Hilbert space and a nonlinear term which has at most polynomial growth,...