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arxiv: 1706.05291 · v3 · pith:LVJWZSOInew · submitted 2017-06-16 · 🧮 math.PR · q-fin.PR

Pathwise large deviations for the Rough Bergomi model

classification 🧮 math.PR q-fin.PR
keywords behaviourbergomideviationslargemodelroughsmall-timeallows
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We study the small-time behaviour of the rough Bergomi model, introduced by Bayer, Friz and Gatheral (2016), and prove a large deviations principle for a rescaled version of the normalised log stock price process, which then allows us to characterise the small-time behaviour of the implied volatility.

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