How to make Dupire's local volatility work with jumps
Peter K. Friz,
Stefan Gerhold and
Marc Yor
Papers from arXiv.org
Abstract:
There are several (mathematical) reasons why Dupire's formula fails in the non-diffusion setting. And yet, in practice, ad-hoc preconditioning of the option data works reasonably well. In this note we attempt to explain why. In particular, we propose a regularization procedure of the option data so that Dupire's local vol diffusion process recreates the correct option prices, even in manifest presence of jumps.
Date: 2013-02
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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:1302.5548
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