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arXiv · 2304.13610

Maximum Implied Variance Slope -- Practical Aspects

Fabien Le Floc'h·Winfried Koller
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Abstract

In the Black-Scholes model, the absence of arbitrages imposes necessary constraints on the slope of the implied variance in terms of log-moneyness, asymptotically for large log-moneyness. The constraints are used for example in the SVI implied volatility parameterization to ensure the resulting smile has no arbitrages. This note shows that those no-arbitrage contraints are very mild, and that arbitrage is almost always guaranteed in a large range of slopes where the contraints are enforced.

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Fabien Le Floc'h, Winfried Koller. 2023-04-26. Maximum Implied Variance Slope -- Practical Aspects. https://arxiv.org/abs/2304.13610

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