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A jump-diffusion Libor model and its robust calibration

Denis Belomestny and John Schoenmakers

Quantitative Finance, 2010, vol. 11, issue 4, 529-546

Abstract: In this paper we propose a jump-diffusion Libor model with jumps in a high-dimensional space (ℝm) and test a stable non-parametric calibration algorithm that takes into account a given local covariance structure. The algorithm returns smooth and simply structured Levy densities, and penalizes the deviation from the Libor market model. In practice, the procedure is FFT based, thus fast, easy to implement, and yields good results, particularly in view of the severe ill-posedness of the underlying inverse problem.

Keywords: LIBOR market models; American options; Monte Carlo methods; Statistical methods (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (1)

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DOI: 10.1080/14697680903295176

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