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dc.contributor.authorTrabs, Mathiasen_US
dc.description.abstractWe study the nonparametric calibration of exponential, self-decomposable Lévy models whose jump density can be characterized by the k-function, which is typically nonsmooth at zero. On the one hand the estimation of the drift, the activity measure a := k(0+) + k(0-) and analog parameters for the derivatives are considered and on the other hand we estimate the k-function outside of a neighborhood of zero. Minimax convergence rates are derived, which depend on a. Therefore, we construct estimators adapting to this unknown parameter. Our estimation method is based on spectral representations of the observed option prices and on regularization by cutting off high frequencies. Finally, the procedure is applied to simulations and real data.en_US
dc.publisherSFB 649, Economic Risk Berlinen_US
dc.relation.ispartofseriesSFB 649 discussion paper 2011-073en_US
dc.subject.keywordEuropean optionen_US
dc.subject.keywordinfinite activity jump processen_US
dc.subject.keywordminimax ratesen_US
dc.subject.keywordnon linear inverse problemen_US
dc.subject.stwStochastischer Prozessen_US
dc.subject.stwNichtparametrisches Verfahrenen_US
dc.titleCalibration of self-decomposable Lévy modelsen_US
dc.typeWorking Paperen_US
Appears in Collections:SFB 649 Discussion Papers, HU Berlin

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