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Uniform Bounds for Black--Scholes Implied Volatility

dc.creatorTehranchi, Michael Rummine
dc.date.accessioned2016-08-30
dc.date.accessioned2018-11-24T23:26:56Z
dc.date.available2016-10-27T09:57:52Z
dc.date.available2018-11-24T23:26:56Z
dc.date.issued2016-11-29
dc.identifierhttps://www.repository.cam.ac.uk/handle/1810/260929
dc.identifier.urihttp://repository.aust.edu.ng/xmlui/handle/123456789/3917
dc.description.abstractIn this note, Black--Scholes implied volatility is expressed in terms of various optimization problems. From these representations, upper and lower bounds are derived which hold uniformly across moneyness and call price. Various symmetries of the Black--Scholes formula are exploited to derive new bounds from old. These bounds are used to reprove asymptotic formulas for implied volatility at extreme strikes and/or maturities.
dc.languageen
dc.publisherSociety for Industrial and Applied Mathematics
dc.publisherSIAM Journal on Financial Mathematics
dc.titleUniform Bounds for Black--Scholes Implied Volatility
dc.typeArticle


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