How to make Dupire's local volatility work with jumps<xref ref-type="fn" rid="FN0001"/>
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.
Year of publication: |
2013
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Authors: | Friz, Peter K. ; Gerhold, Stefan ; Yor, Marc |
Published in: |
Quantitative Finance. - Taylor & Francis Journals, ISSN 1469-7688. - Vol. 14.2013, 8, p. 1327-1331
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Publisher: |
Taylor & Francis Journals |
Saved in:
Saved in favorites
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