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20092023
most citedAsymptotic formulae for implied volatility in the Heston model

64 citations · 204 across the 26 of their papers we have counts for

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Showing 2012Show all

6 papers · 1 filter

q-fin.PR2012

Asymptotics of forward implied volatility

Antoine Jacquier, Patrick Roome

We prove here a general closed-form expansion formula for forward-start options and the forward implied volatility smile in a large class of models, including the Heston stochastic…

q-fin.PR2012★ 25 cited

Generalised arbitrage-free SVI volatility surfaces

Gaoyue Guo, Antoine Jacquier, Claude Martini +1

In this article we propose a generalisation of the recent work of Gatheral and Jacquier on explicit arbitrage-free parameterisations of implied volatility surfaces. We also discuss…

q-fin.CP2012

The Smile of certain Lévy-type Models

Antoine Jacquier, Matthew Lorig

We consider a class of assets whose risk-neutral pricing dynamics are described by an exponential Lévy-type process subject to default. The class of processes we consider features…

q-fin.CP2012

From characteristic functions to implied volatility expansions

Antoine Jacquier, Matthew Lorig

For any strictly positive martingale for which has a characteristic function, we provide an expansion for the implied volatility. This expansion is explicit in th…

q-fin.PR2012

Arbitrage-free SVI volatility surfaces

Jim Gatheral, Antoine Jacquier

In this article, we show how to calibrate the widely-used SVI parameterization of the implied volatility surface in such a way as to guarantee the absence of static arbitrage. In p…

q-fin.PR2012

Large deviations for the extended Heston model: the large-time case

Antoine Jacquier, Aleksandar Mijatovic

We study here the large-time behaviour of all continuous affine stochastic volatility models (in the sense of Keller-Ressel) and deduce a closed-form formula for the large-maturity…