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arxiv: 1710.11232 · v1 · pith:2VKGEF5Hnew · submitted 2017-10-30 · 💱 q-fin.PR · q-fin.CP

The implied volatility of Forward-Start options: ATM short-time level, skew and curvature

classification 💱 q-fin.PR q-fin.CP
keywords volatilitycurvatureimpliedskewat-the-moneybehaviourcalculusclosed-form
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Using Malliavin Calculus techniques, we derive closed-form expressions for the at-the-money behaviour of the forward implied volatility, its skew and its curvature, in general Markovian stochastic volatility models with continuous paths.

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