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Wilmott Journal
Article . 2009 . Peer-reviewed
License: Wiley Online Library User Agreement
Data sources: Crossref
SSRN Electronic Journal
Article . 2009 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2008
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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Smile Dynamics -- A Theory of the Implied Leverage Effect

Authors: Stefano Ciliberti; Jean-Philippe Bouchaud; Marc Potters;

Smile Dynamics -- A Theory of the Implied Leverage Effect

Abstract

AbstractWe study in details the skew of stock option smiles, which is induced by the so‐called leverage effect on the underlying B i.e. the correlation between past returns and future square returns. This naturally explains the anomalous dependence of the skew as a function of maturity of the option. The market cap dependence of the leverage effect is analyzed using a one‐factor model. We show how this leverage correlation gives rise to a non‐trivial smile dynamics, which turns out to be intermediate between the “sticky strike” and the “sticky delta” rules. Finally, we compare our result with stock option data, and find that option markets overestimate the leverage effect by a large factor, in particular for long dated options. Copyright © 2009 Wilmott Magazine Ltd

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Keywords

FOS: Economics and business, Statistical Finance (q-fin.ST), Physics - Data Analysis, Statistics and Probability, Quantitative Finance - Statistical Finance, FOS: Physical sciences, Pricing of Securities (q-fin.PR), Quantitative Finance - Pricing of Securities, Data Analysis, Statistics and Probability (physics.data-an)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
13
Average
Top 10%
Top 10%
Green
bronze