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Arbitrage-free SVI volatility surfaces

Jim Gatheral and Antoine Jacquier ()

Quantitative Finance, 2014, vol. 14, issue 1, 59-71

Abstract: In this article, we show how to calibrate the widely used SVI parameterization of the implied volatility smile in such a way as to guarantee the absence of static arbitrage. In particular, we exhibit a large class of arbitrage-free SVI volatility surfaces with a simple closed-form representation. We demonstrate the high quality of typical SVI fits with a numerical example using recent SPX options data.

Date: 2014
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